Solving very simple substitution
ciphers algorithmically
Stephen Enright-Ward
lateral.io
stephen@lateral.io
2. There still exist encrypted, unreadable
historical texts.
1. Fun, unusual application of machine learning
This is cool
The Voynich manuscript
The Voynich manuscript
Unsolved!
2. No original research
1. This is a toy problem
Disclaimer
Outline
1. Introduction
2. Framing the problem
3. Naive solution
4. Maths + stats tools
5. Algorithm
1. Introduction
Encryption & decryption
1. Introduction
Cipher textPlain text
encryption
decryption
Encryption & decryption
1. Introduction
Cipher textPlain text
encryption
decryption
“the cat sat on the mat” “uif dbu tbu po uif nbu”
Encryption & decryption
1. Introduction
Cipher textPlain text
encryption
decryption
“the cat sat on the mat” “uif dbu tbu po uif nbu”
Encryption & decryption
“Mono-Alphabetic Substitution Cipher” (MASC)
Replace each plain text letter with a single, fixed cipher text letter.
Algorithm:
1. Introduction
Cipher textPlain text
encryption
decryption
“the cat sat on the mat” “uif dbu tbu po uif nbu”
Encryption & decryption
“Mono-Alphabetic Substitution Cipher” (MASC)
Replace each plain text letter with a single, fixed cipher text letter.
Algorithm:
{a 7! b, b 7! c, . . .}<latexit sha1_base64="v4rjKncKUxiOht1plgEILCpWNAA=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASTByfBxJFSK3gNzPCykgh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNNaduA==</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="+qXmXDvbsp9dxNODp3hOJ51qX74=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8DEEvRonSAgZlGHxecBl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBBJuI</latexit>
{b 7! a, c 7! b, . . .}<latexit sha1_base64="5hczuU3PZbTCk1ak6zzIIIj/v8M=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASVzk+DiSKkS4gMjnxS0gh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNOqduA==</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="9IzG5xCESr5mu8279n94muQyH4w=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8LIBejBKlBURliD8vQRl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBGJuI</latexit>
Encryption =
Decryption =
Keys:
1. Introduction
Cipher textPlain text
encryption
decryption
“the cat sat on the mat” “uif dbu tbu po uif nbu”
1. Choose algorithm
2. Choose key
1. Deduce algorithm
2. Deduce key
Encryption: Decryption:
Encryption & decryption
“Mono-Alphabetic Substitution Cipher” (MASC)
Replace each plain text letter with a single, fixed cipher text letter.
Algorithm:
{a 7! b, b 7! c, . . .}<latexit sha1_base64="v4rjKncKUxiOht1plgEILCpWNAA=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASTByfBxJFSK3gNzPCykgh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNNaduA==</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="+qXmXDvbsp9dxNODp3hOJ51qX74=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8DEEvRonSAgZlGHxecBl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBBJuI</latexit>
{b 7! a, c 7! b, . . .}<latexit sha1_base64="5hczuU3PZbTCk1ak6zzIIIj/v8M=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASVzk+DiSKkS4gMjnxS0gh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNOqduA==</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="9IzG5xCESr5mu8279n94muQyH4w=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8LIBejBKlBURliD8vQRl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBGJuI</latexit>
Encryption =
Decryption =
Keys:
A “Mono-Alphabetic Substitution Cipher” (MASC) means:
Replace each plain text letter with a single, fixed cipher text letter.
Important
“the cat sat on the mat” “uif dbu tbu po uif nbu”
From now on: I only talk about MASCs.
2. Framing the problem
2. Framing the problem
Assumptions
2. Framing the problem
1. We know cipher text is
MASC-encrypted
Assumptions
2. Framing the problem
2. We have “enough” cipher text
1. We know cipher text is
MASC-encrypted
Assumptions
2. Framing the problem
2. We have “enough” cipher text
3. Punctuation stripped, encryption
preserves spaces
1. We know cipher text is
MASC-encrypted
Assumptions
2. Framing the problem
2. We have “enough” cipher text
3. Punctuation stripped, encryption
preserves spaces
1. We know cipher text is
MASC-encrypted
4. We know, & have access to
text from, the source language
Assumptions
2. Framing the problem
2. We have “enough” cipher text
3. Punctuation stripped, encryption
preserves spaces
1. We know cipher text is
MASC-encrypted
4. We know, & have access to
text from, the source language
Assumptions Consequences
2. Framing the problem
2. We have “enough” cipher text
3. Punctuation stripped, encryption
preserves spaces
1. We know cipher text is
MASC-encrypted
4. We know, & have access to
text from, the source language
1. and 2. make problem feasible
Assumptions Consequences
2. Framing the problem
2. We have “enough” cipher text
3. Punctuation stripped, encryption
preserves spaces
1. We know cipher text is
MASC-encrypted
4. We know, & have access to
text from, the source language
1. and 2. make problem feasible
3. means we can use statistics on
character sequences
Assumptions Consequences
2. Framing the problem
2. We have “enough” cipher text
3. Punctuation stripped, encryption
preserves spaces
1. We know cipher text is
MASC-encrypted
4. We know, & have access to
text from, the source language
1. and 2. make problem feasible
3. means we can use statistics on
character sequences
4. means we can use ML
on “training text”.
Assumptions Consequences
Permutation: A rearrangement of distinct objects (for us, letters)
Permutations
Permutations
Permutation: A rearrangement of distinct objects (for us, letters)
Formally: one-to-one map from a finite set to itself
Permutations
Permutation: A rearrangement of distinct objects (for us, letters)
Formally: one-to-one map from a finite set to itself
Different notation
a b dc
a b dc
Permutations
Permutation: A rearrangement of distinct objects (for us, letters)
arrow diagramarrow diagram
Different notation
Formally: one-to-one map from a finite set to itself
{a: b, b: c, c: a, d: d}
a b dc
a b dc
arrow diagram
Permutations
Formally: one-to-one map from a finite set to itself
arrow diagram
Different notation
Permutation: A rearrangement of distinct objects (for us, letters)
dictionary
Formally: one-to-one map from a finite set to itself
{a: b, b: c, c: a, d: d}
dictionary
a b dc
a b dc
arrow diagram
Different notation
cycles
(abc)(d) = (abc)
Permutations
Permutation: A rearrangement of distinct objects (for us, letters)
cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
“the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
“the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
However, MASC encryption means plain- and cipher text alphabets
correspond one-to-one:
cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
“the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
However, MASC encryption means plain- and cipher text alphabets
correspond one-to-one:
⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍
ca e m n o s th
cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
“the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
However, MASC encryption means plain- and cipher text alphabets
correspond one-to-one:
⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍
ca e m n o s th
“the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
“osc heo meo nt oso aeo”
cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
“the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
However, MASC encryption means plain- and cipher text alphabets
correspond one-to-one:
⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍
ca e m n o s th
“the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
“osc heo meo nt oso aeo”
Can assume cipher text and plain text have same alphabet
cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
“the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
However, MASC encryption means plain- and cipher text alphabets
correspond one-to-one:
⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍
ca e m n o s th
“the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
“osc heo meo nt oso aeo”
Can assume cipher text and plain text have same alphabet
Hence: Decryption key is a permutation
Given space-preserved, MASC-encrypted cipher text of known
source language with alphabet , and training sample of text
from , find the permutation of that is the decryption key.
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Task
Notation
If is any text and is a permutation of , then means the
text obtained by applying to .
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3. Naive algorithm
3. Naive algorithm
A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
Iterate over all permutations of until we get the right answer.
Algorithm
3. Naive algorithm
A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
Iterate over all permutations of until we get the right answer.
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
Algorithm
3. Naive algorithm
A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
Iterate over all permutations of until we get the right answer.
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
Algorithm
3. Naive algorithm
A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
Iterate over all permutations of until we get the right answer.
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
Algorithm
3. Naive algorithm
A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
Iterate over all permutations of until we get the right answer.
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
Algorithm
3. Naive algorithm
A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
Iterate over all permutations of until we get the right answer.
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
Algorithm
If the new decrypted text looks more like
the training text than the old decrypted text
3. Naive algorithm
A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
Iterate over all permutations of until we get the right answer.
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
Algorithm
If the new decrypted text looks more like
the training text than the old decrypted text
If is a better decryption key than <latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit>
⇡<latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit>
)<latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit>
3. Naive algorithm
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(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
Iterate over all permutations of until we get the right answer.
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
Algorithm
If the new decrypted text looks more like
the training text than the old decrypted text
If is a better decryption key than <latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit>
⇡<latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit>
)<latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit>
3. Naive algorithm
A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
 := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
Iterate over all permutations of until we get the right answer.
3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit>
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
2. Set
Algorithm
If the new decrypted text looks more like
the training text than the old decrypted text
If is a better decryption key than <latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit>
⇡<latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit>
)<latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit>
3. Naive algorithm
Problems
Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit>
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
Algorithm
3. Naive algorithm
1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="y9OegHeckskHDmulfK1vupEQ6Ro=">AAAB5XicbZDNSgMxFIXv1L9aq1a3boJFcFVmdKFLwY3LCvZH2qFk0jttaJIZk4xQhj6FGxeK+ErufBvTaRfaeiDwcU5C7j1RKrixvv/tlTY2t7Z3yruVver+wWHtqNo2SaYZtlgiEt2NqEHBFbYstwK7qUYqI4GdaHI7zzvPqA1P1IOdphhKOlI85oxaZz32DZf4RILLQa3uN/xCZB2CJdRhqeag9tUfJiyTqCwT1Jhe4Kc2zKm2nAmcVfqZwZSyCR1hz6GiEk2YFwPPyJlzhiROtDvKksL9/SKn0pipjNxNSe3YrGZz87+sl9n4Osy5SjOLii0+ijNBbELm25Mh18ismDqgTHM3K2FjqimzrqOKKyFYXXkd2heNwG8E9z6U4QRO4RwCuIIbuIMmtICBhBd4g3dPe6/ex6Kukrfs7Rj+yPv8Ab35jng=</latexit><latexit sha1_base64="7NMmtXSxOWbnXkf9+mogHD5vrqo=">AAAB5XicdVDLSgNBEOyNrxijRq9eBoPgadk1islN8OIxgnlIsoTZSW8yZGZ3nZkVQshXePGgiL/kzb9x8hB8FjQUVd10d4Wp4Np43ruTW1ldW9/Ibxa2its7u6W9YlMnmWLYYIlIVDukGgWPsWG4EdhOFVIZCmyFo8uZ37pHpXkS35hxioGkg5hHnFFjpduu5hLviF/plcqeW6vWTitn5DfxXW+OMixR75Xeuv2EZRJjwwTVuuN7qQkmVBnOBE4L3UxjStmIDrBjaUwl6mAyP3hKjqzSJ1GibMWGzNWvExMqtR7L0HZKaob6pzcT//I6mYmqwYTHaWYwZotFUSaIScjse9LnCpkRY0soU9zeStiQKsqMzahgQ/j8lPxPmieu77n+tQd5OIBDOAYfzuECrqAODWAg4QGe4NlRzqPzsogr5yxz24dvcF4/AF5bjuo=</latexit><latexit sha1_base64="nixp0y6fUQW3uXv72rzERNSfu+Q=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZcMLlIwIvHCGaRZAg9nZqkSXfP2N0jhCFf4cWDIl79HG/+jZ1FcH1Q8Hiviqp6YcKZNp737uQWFpeWV/KrhbX1jc2t4vZOQ8epolCnMY9VKyQaOJNQN8xwaCUKiAg5NMPhxcRv3oHSLJbXZpRAIEhfsohRYqx009FMwC32j7vFkudWypWT41P8m/iuN0UJzVHrFt86vZimAqShnGjd9r3EBBlRhlEO40In1ZAQOiR9aFsqiQAdZNODx/jAKj0cxcqWNHiqfp3IiNB6JELbKYgZ6J/eRPzLa6cmKgcZk0lqQNLZoijl2MR48j3uMQXU8JElhCpmb8V0QBShxmZUsCF8for/J40j1/dc/8orVc/nceTRHtpHh8hHZ6iKLlEN1RFFAt2jR/TkKOfBeXZeZq05Zz6zi77Bef0Ak0CQPQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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1. Many permutations: 26! ' 4 ⇥ 1026
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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit>
Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit>
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
Algorithm
Problems
3. Naive algorithm
2. How to check when two
texts are “similar”?
1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="y9OegHeckskHDmulfK1vupEQ6Ro=">AAAB5XicbZDNSgMxFIXv1L9aq1a3boJFcFVmdKFLwY3LCvZH2qFk0jttaJIZk4xQhj6FGxeK+ErufBvTaRfaeiDwcU5C7j1RKrixvv/tlTY2t7Z3yruVver+wWHtqNo2SaYZtlgiEt2NqEHBFbYstwK7qUYqI4GdaHI7zzvPqA1P1IOdphhKOlI85oxaZz32DZf4RILLQa3uN/xCZB2CJdRhqeag9tUfJiyTqCwT1Jhe4Kc2zKm2nAmcVfqZwZSyCR1hz6GiEk2YFwPPyJlzhiROtDvKksL9/SKn0pipjNxNSe3YrGZz87+sl9n4Osy5SjOLii0+ijNBbELm25Mh18ismDqgTHM3K2FjqimzrqOKKyFYXXkd2heNwG8E9z6U4QRO4RwCuIIbuIMmtICBhBd4g3dPe6/ex6Kukrfs7Rj+yPv8Ab35jng=</latexit><latexit sha1_base64="7NMmtXSxOWbnXkf9+mogHD5vrqo=">AAAB5XicdVDLSgNBEOyNrxijRq9eBoPgadk1islN8OIxgnlIsoTZSW8yZGZ3nZkVQshXePGgiL/kzb9x8hB8FjQUVd10d4Wp4Np43ruTW1ldW9/Ibxa2its7u6W9YlMnmWLYYIlIVDukGgWPsWG4EdhOFVIZCmyFo8uZ37pHpXkS35hxioGkg5hHnFFjpduu5hLviF/plcqeW6vWTitn5DfxXW+OMixR75Xeuv2EZRJjwwTVuuN7qQkmVBnOBE4L3UxjStmIDrBjaUwl6mAyP3hKjqzSJ1GibMWGzNWvExMqtR7L0HZKaob6pzcT//I6mYmqwYTHaWYwZotFUSaIScjse9LnCpkRY0soU9zeStiQKsqMzahgQ/j8lPxPmieu77n+tQd5OIBDOAYfzuECrqAODWAg4QGe4NlRzqPzsogr5yxz24dvcF4/AF5bjuo=</latexit><latexit sha1_base64="nixp0y6fUQW3uXv72rzERNSfu+Q=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZcMLlIwIvHCGaRZAg9nZqkSXfP2N0jhCFf4cWDIl79HG/+jZ1FcH1Q8Hiviqp6YcKZNp737uQWFpeWV/KrhbX1jc2t4vZOQ8epolCnMY9VKyQaOJNQN8xwaCUKiAg5NMPhxcRv3oHSLJbXZpRAIEhfsohRYqx009FMwC32j7vFkudWypWT41P8m/iuN0UJzVHrFt86vZimAqShnGjd9r3EBBlRhlEO40In1ZAQOiR9aFsqiQAdZNODx/jAKj0cxcqWNHiqfp3IiNB6JELbKYgZ6J/eRPzLa6cmKgcZk0lqQNLZoijl2MR48j3uMQXU8JElhCpmb8V0QBShxmZUsCF8for/J40j1/dc/8orVc/nceTRHtpHh8hHZ6iKLlEN1RFFAt2jR/TkKOfBeXZeZq05Zz6zi77Bef0Ak0CQPQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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1. Many permutations: 26! ' 4 ⇥ 1026
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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit>
Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit>
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
Algorithm
Problems
3. Naive algorithm
2. How to check when two
texts are “similar”?
1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="y9OegHeckskHDmulfK1vupEQ6Ro=">AAAB5XicbZDNSgMxFIXv1L9aq1a3boJFcFVmdKFLwY3LCvZH2qFk0jttaJIZk4xQhj6FGxeK+ErufBvTaRfaeiDwcU5C7j1RKrixvv/tlTY2t7Z3yruVver+wWHtqNo2SaYZtlgiEt2NqEHBFbYstwK7qUYqI4GdaHI7zzvPqA1P1IOdphhKOlI85oxaZz32DZf4RILLQa3uN/xCZB2CJdRhqeag9tUfJiyTqCwT1Jhe4Kc2zKm2nAmcVfqZwZSyCR1hz6GiEk2YFwPPyJlzhiROtDvKksL9/SKn0pipjNxNSe3YrGZz87+sl9n4Osy5SjOLii0+ijNBbELm25Mh18ismDqgTHM3K2FjqimzrqOKKyFYXXkd2heNwG8E9z6U4QRO4RwCuIIbuIMmtICBhBd4g3dPe6/ex6Kukrfs7Rj+yPv8Ab35jng=</latexit><latexit sha1_base64="7NMmtXSxOWbnXkf9+mogHD5vrqo=">AAAB5XicdVDLSgNBEOyNrxijRq9eBoPgadk1islN8OIxgnlIsoTZSW8yZGZ3nZkVQshXePGgiL/kzb9x8hB8FjQUVd10d4Wp4Np43ruTW1ldW9/Ibxa2its7u6W9YlMnmWLYYIlIVDukGgWPsWG4EdhOFVIZCmyFo8uZ37pHpXkS35hxioGkg5hHnFFjpduu5hLviF/plcqeW6vWTitn5DfxXW+OMixR75Xeuv2EZRJjwwTVuuN7qQkmVBnOBE4L3UxjStmIDrBjaUwl6mAyP3hKjqzSJ1GibMWGzNWvExMqtR7L0HZKaob6pzcT//I6mYmqwYTHaWYwZotFUSaIScjse9LnCpkRY0soU9zeStiQKsqMzahgQ/j8lPxPmieu77n+tQd5OIBDOAYfzuECrqAODWAg4QGe4NlRzqPzsogr5yxz24dvcF4/AF5bjuo=</latexit><latexit sha1_base64="nixp0y6fUQW3uXv72rzERNSfu+Q=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZcMLlIwIvHCGaRZAg9nZqkSXfP2N0jhCFf4cWDIl79HG/+jZ1FcH1Q8Hiviqp6YcKZNp737uQWFpeWV/KrhbX1jc2t4vZOQ8epolCnMY9VKyQaOJNQN8xwaCUKiAg5NMPhxcRv3oHSLJbXZpRAIEhfsohRYqx009FMwC32j7vFkudWypWT41P8m/iuN0UJzVHrFt86vZimAqShnGjd9r3EBBlRhlEO40In1ZAQOiR9aFsqiQAdZNODx/jAKj0cxcqWNHiqfp3IiNB6JELbKYgZ6J/eRPzLa6cmKgcZk0lqQNLZoijl2MR48j3uMQXU8JElhCpmb8V0QBShxmZUsCF8for/J40j1/dc/8orVc/nceTRHtpHh8hHZ6iKLlEN1RFFAt2jR/TkKOfBeXZeZq05Zz6zi77Bef0Ak0CQPQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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1. Many permutations: 26! ' 4 ⇥ 1026
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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit>
Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit>
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
Solutions
Algorithm
Problems
3. Naive algorithm
2. How to check when two
texts are “similar”?
1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="y9OegHeckskHDmulfK1vupEQ6Ro=">AAAB5XicbZDNSgMxFIXv1L9aq1a3boJFcFVmdKFLwY3LCvZH2qFk0jttaJIZk4xQhj6FGxeK+ErufBvTaRfaeiDwcU5C7j1RKrixvv/tlTY2t7Z3yruVver+wWHtqNo2SaYZtlgiEt2NqEHBFbYstwK7qUYqI4GdaHI7zzvPqA1P1IOdphhKOlI85oxaZz32DZf4RILLQa3uN/xCZB2CJdRhqeag9tUfJiyTqCwT1Jhe4Kc2zKm2nAmcVfqZwZSyCR1hz6GiEk2YFwPPyJlzhiROtDvKksL9/SKn0pipjNxNSe3YrGZz87+sl9n4Osy5SjOLii0+ijNBbELm25Mh18ismDqgTHM3K2FjqimzrqOKKyFYXXkd2heNwG8E9z6U4QRO4RwCuIIbuIMmtICBhBd4g3dPe6/ex6Kukrfs7Rj+yPv8Ab35jng=</latexit><latexit sha1_base64="7NMmtXSxOWbnXkf9+mogHD5vrqo=">AAAB5XicdVDLSgNBEOyNrxijRq9eBoPgadk1islN8OIxgnlIsoTZSW8yZGZ3nZkVQshXePGgiL/kzb9x8hB8FjQUVd10d4Wp4Np43ruTW1ldW9/Ibxa2its7u6W9YlMnmWLYYIlIVDukGgWPsWG4EdhOFVIZCmyFo8uZ37pHpXkS35hxioGkg5hHnFFjpduu5hLviF/plcqeW6vWTitn5DfxXW+OMixR75Xeuv2EZRJjwwTVuuN7qQkmVBnOBE4L3UxjStmIDrBjaUwl6mAyP3hKjqzSJ1GibMWGzNWvExMqtR7L0HZKaob6pzcT//I6mYmqwYTHaWYwZotFUSaIScjse9LnCpkRY0soU9zeStiQKsqMzahgQ/j8lPxPmieu77n+tQd5OIBDOAYfzuECrqAODWAg4QGe4NlRzqPzsogr5yxz24dvcF4/AF5bjuo=</latexit><latexit sha1_base64="nixp0y6fUQW3uXv72rzERNSfu+Q=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZcMLlIwIvHCGaRZAg9nZqkSXfP2N0jhCFf4cWDIl79HG/+jZ1FcH1Q8Hiviqp6YcKZNp737uQWFpeWV/KrhbX1jc2t4vZOQ8epolCnMY9VKyQaOJNQN8xwaCUKiAg5NMPhxcRv3oHSLJbXZpRAIEhfsohRYqx009FMwC32j7vFkudWypWT41P8m/iuN0UJzVHrFt86vZimAqShnGjd9r3EBBlRhlEO40In1ZAQOiR9aFsqiQAdZNODx/jAKj0cxcqWNHiqfp3IiNB6JELbKYgZ6J/eRPzLa6cmKgcZk0lqQNLZoijl2MR48j3uMQXU8JElhCpmb8V0QBShxmZUsCF8for/J40j1/dc/8orVc/nceTRHtpHh8hHZ6iKLlEN1RFFAt2jR/TkKOfBeXZeZq05Zz6zi77Bef0Ak0CQPQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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1. Many permutations: 26! ' 4 ⇥ 1026
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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit>
Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit>
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
1. Iteratively update sensibly over
Perm(A)<latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit>
Algorithm
Problems Solutions
3. Naive algorithm
2. How to check when two
texts are “similar”?
1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="y9OegHeckskHDmulfK1vupEQ6Ro=">AAAB5XicbZDNSgMxFIXv1L9aq1a3boJFcFVmdKFLwY3LCvZH2qFk0jttaJIZk4xQhj6FGxeK+ErufBvTaRfaeiDwcU5C7j1RKrixvv/tlTY2t7Z3yruVver+wWHtqNo2SaYZtlgiEt2NqEHBFbYstwK7qUYqI4GdaHI7zzvPqA1P1IOdphhKOlI85oxaZz32DZf4RILLQa3uN/xCZB2CJdRhqeag9tUfJiyTqCwT1Jhe4Kc2zKm2nAmcVfqZwZSyCR1hz6GiEk2YFwPPyJlzhiROtDvKksL9/SKn0pipjNxNSe3YrGZz87+sl9n4Osy5SjOLii0+ijNBbELm25Mh18ismDqgTHM3K2FjqimzrqOKKyFYXXkd2heNwG8E9z6U4QRO4RwCuIIbuIMmtICBhBd4g3dPe6/ex6Kukrfs7Rj+yPv8Ab35jng=</latexit><latexit 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sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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1. Many permutations: 26! ' 4 ⇥ 1026
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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit>
Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit>
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
2. “similar” = letter sequence
frequencies
Perm(A)<latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit>
Algorithm
Problems Solutions
1. Iteratively update sensibly over
3. Naive algorithm
2. How to check when two
texts are “similar”?
1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="y9OegHeckskHDmulfK1vupEQ6Ro=">AAAB5XicbZDNSgMxFIXv1L9aq1a3boJFcFVmdKFLwY3LCvZH2qFk0jttaJIZk4xQhj6FGxeK+ErufBvTaRfaeiDwcU5C7j1RKrixvv/tlTY2t7Z3yruVver+wWHtqNo2SaYZtlgiEt2NqEHBFbYstwK7qUYqI4GdaHI7zzvPqA1P1IOdphhKOlI85oxaZz32DZf4RILLQa3uN/xCZB2CJdRhqeag9tUfJiyTqCwT1Jhe4Kc2zKm2nAmcVfqZwZSyCR1hz6GiEk2YFwPPyJlzhiROtDvKksL9/SKn0pipjNxNSe3YrGZz87+sl9n4Osy5SjOLii0+ijNBbELm25Mh18ismDqgTHM3K2FjqimzrqOKKyFYXXkd2heNwG8E9z6U4QRO4RwCuIIbuIMmtICBhBd4g3dPe6/ex6Kukrfs7Rj+yPv8Ab35jng=</latexit><latexit 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sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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1. Many permutations: 26! ' 4 ⇥ 1026
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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit>
Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit>
3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit>
⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit>
for all :
1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit>
if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit>
(C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>
2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit>
2. “similar” = letter sequence
frequencies
Perm(A)<latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit>
Machine learning!
Algorithm
Problems Solutions
1. Iteratively update sensibly over
4. Maths and stats
4. Maths and stats
An “n-gram” means a sequence of n letters inside a
word (i.e. uninterrupted by a space)
n-grams
4. Maths and stats
An “n-gram” means a sequence of n letters inside a
word (i.e. uninterrupted by a space)
text = ‘the large cat sat on the mat’
example
n-grams
4. Maths and stats
An “n-gram” means a sequence of n letters inside a
word (i.e. uninterrupted by a space)
text = ‘the large cat sat on the mat’
1-grams: ‘t’, ‘h’, ‘e’, ‘l’, ‘a’, ‘r’, …
n-grams
example
4. Maths and stats
An “n-gram” means a sequence of n letters inside a
word (i.e. uninterrupted by a space)
text = ‘the large cat sat on the mat’
2-grams: ‘th’, ‘he’, ‘la’, ‘ar’, ‘rg’ …
1-grams: ‘t’, ‘h’, ‘e’, ‘l’, ‘a’, ‘r’, …
n-grams
example
4. Maths and stats
An “n-gram” means a sequence of n letters inside a
word (i.e. uninterrupted by a space)
text = ‘the large cat sat on the mat’
3-grams: ‘the’, ‘lar’, ‘arg’, ‘rge’, ‘cat’
n-grams
example
2-grams: ‘th’, ‘he’, ‘la’, ‘ar’, ‘rg’ …
1-grams: ‘t’, ‘h’, ‘e’, ‘l’, ‘a’, ‘r’, …
Bigrams from German Wikipedia article “Kryptographie”
bigrams in the wild
Bigrams from German Wikipedia article “Kryptographie”
bigrams in the wild
a b c
a
b
c
…
.
.
.
Bigrams from German Wikipedia article “Kryptographie”
a b c
a
b
c
…
.
..
N
E
EN
bigrams in the wild
Stable within a language, vary between languages
bigrams are like fingerprints
Stable within a language, vary between languages
bigrams are like fingerprints
Stable within a language, vary between languages
bigrams are like fingerprints
Stable within a language, vary between languages
AncientRomeCryptography
bigrams are like fingerprints
shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
‘the cat sat on the mat’ ‘noa ehn shn ct noa mhn’
<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
‘the cat sat on the mat’ ‘noa ehn shn ct noa mhn’
<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
{a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
‘the cat sat on the mat’ ‘noa ehn shn ct noa mhn’
<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
{a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
‘the cat sat on the mat’ ‘noa ehn shn ct noa mhn’
<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
{a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
row + col shuffle
shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
‘the cat sat on the mat’ ‘noa ehn shn ct noa mhn’
<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
{a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
row + col shuffle
shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
‘the cat sat on the mat’ ‘noa ehn shn ct noa mhn’
<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
{a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
row + col shuffle
HNAT 7 !<latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit>
shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
‘the cat sat on the mat’ ‘noa ehn shn ct noa mhn’
<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
{a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit>
row + col shuffle
permute bigram matrixMASCs relabel bigrams
HNAT 7 !<latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit>
shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
1. We represent a text by its matrix of bigrams
Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
1. We represent a text by its matrix of bigrams
2. Two texts from same language have similar representations
Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
1. We represent a text by its matrix of bigrams
2. Two texts from same language have similar representations
Training and (unknown) plain text have similar bigram matrices
'<latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit>
plain text training text
Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
3. MASC-ing text = letter substitution = row + col permuting
1. We represent a text by its matrix of bigrams
2. Two texts from same language have similar representations
Training and (unknown) plain text have similar bigram matrices
Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
'<latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit>
plain text training text
3. MASC-ing text = letter substitution = row + col permuting
1. We represent a text by its matrix of bigrams
2. Two texts from same language have similar representations
Training and (unknown) plain text have similar bigram matrices
P<latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit>
Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
'<latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit>
plain text training text
cipher text training text
7 !<latexit sha1_base64="yI/RE0SoD7b8/V34bgJGjjxLzPw=">AAAB83icdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCmSH0dHqSJr3R3SOEkN/w4kERr/6MN//GniSC64OCx3tVVNVLFKPGBsG7V1hZXVvfKG6WtrZ3dvfK+wdtIzONSQtLJnU3QYYwKkjLUstIV2mCeMJIJxlf5n7njmhDpbi1E0VijoaCphQj66QoYlIMOVLGylK/XAn8er16Vq/B3yT0gzkqYIlmv/wWDSTOOBEWM2RMLwyUjadIW4oZmZWizBCF8BgNSc9RgTgx8XR+8wyeOGUAU6ldCQvn6teJKeLGTHjiOjmyI/PTy8W/vF5m04t4SoXKLBF4sSjNGLQS5gHAAdUEWzZxBGFN3a0Qj5BG2LqY8hA+P4X/k3bVDwM/vDmvNK6XcRTBETgGpyAENdAAV6AJWgADBe7BI3jyMu/Be/ZeFq0FbzlzCL7Be/0AoPeSHQ==</latexit><latexit sha1_base64="yI/RE0SoD7b8/V34bgJGjjxLzPw=">AAAB83icdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCmSH0dHqSJr3R3SOEkN/w4kERr/6MN//GniSC64OCx3tVVNVLFKPGBsG7V1hZXVvfKG6WtrZ3dvfK+wdtIzONSQtLJnU3QYYwKkjLUstIV2mCeMJIJxlf5n7njmhDpbi1E0VijoaCphQj66QoYlIMOVLGylK/XAn8er16Vq/B3yT0gzkqYIlmv/wWDSTOOBEWM2RMLwyUjadIW4oZmZWizBCF8BgNSc9RgTgx8XR+8wyeOGUAU6ldCQvn6teJKeLGTHjiOjmyI/PTy8W/vF5m04t4SoXKLBF4sSjNGLQS5gHAAdUEWzZxBGFN3a0Qj5BG2LqY8hA+P4X/k3bVDwM/vDmvNK6XcRTBETgGpyAENdAAV6AJWgADBe7BI3jyMu/Be/ZeFq0FbzlzCL7Be/0AoPeSHQ==</latexit><latexit sha1_base64="yI/RE0SoD7b8/V34bgJGjjxLzPw=">AAAB83icdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCmSH0dHqSJr3R3SOEkN/w4kERr/6MN//GniSC64OCx3tVVNVLFKPGBsG7V1hZXVvfKG6WtrZ3dvfK+wdtIzONSQtLJnU3QYYwKkjLUstIV2mCeMJIJxlf5n7njmhDpbi1E0VijoaCphQj66QoYlIMOVLGylK/XAn8er16Vq/B3yT0gzkqYIlmv/wWDSTOOBEWM2RMLwyUjadIW4oZmZWizBCF8BgNSc9RgTgx8XR+8wyeOGUAU6ldCQvn6teJKeLGTHjiOjmyI/PTy8W/vF5m04t4SoXKLBF4sSjNGLQS5gHAAdUEWzZxBGFN3a0Qj5BG2LqY8hA+P4X/k3bVDwM/vDmvNK6XcRTBETgGpyAENdAAV6AJWgADBe7BI3jyMu/Be/ZeFq0FbzlzCL7Be/0AoPeSHQ==</latexit><latexit sha1_base64="yI/RE0SoD7b8/V34bgJGjjxLzPw=">AAAB83icdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCmSH0dHqSJr3R3SOEkN/w4kERr/6MN//GniSC64OCx3tVVNVLFKPGBsG7V1hZXVvfKG6WtrZ3dvfK+wdtIzONSQtLJnU3QYYwKkjLUstIV2mCeMJIJxlf5n7njmhDpbi1E0VijoaCphQj66QoYlIMOVLGylK/XAn8er16Vq/B3yT0gzkqYIlmv/wWDSTOOBEWM2RMLwyUjadIW4oZmZWizBCF8BgNSc9RgTgx8XR+8wyeOGUAU6ldCQvn6teJKeLGTHjiOjmyI/PTy8W/vF5m04t4SoXKLBF4sSjNGLQS5gHAAdUEWzZxBGFN3a0Qj5BG2LqY8hA+P4X/k3bVDwM/vDmvNK6XcRTBETgGpyAENdAAV6AJWgADBe7BI3jyMu/Be/ZeFq0FbzlzCL7Be/0AoPeSHQ==</latexit>
P<latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit>
3. MASC-ing text = letter substitution = row + col permuting
1. We represent a text by its matrix of bigrams
2. Two texts from same language have similar representations
Training and (unknown) plain text have similar bigram matrices
Decrypting = applying correct row + col permutation
cipher text training text
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Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
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plain text training text
Three facts about permutations
1. Every permutation is a product of cycles.
Three facts about permutations
a b d
a b d
e f
fe
1. Every permutation is a product of cycles.
Three facts about permutations
c
c
1. Every permutation is a product of cycles.
Three facts about permutations
a b dc
a b dc
e f
fe
(ad)(becf)=
1. Every permutation is a product of cycles.
Three facts about permutations
(ad)(becf)=
a b dc
a b dc
e f
fe
(ad)(becf)=
1. Every permutation is a product of cycles.
2. Every cycle is product of transpositions (swaps).
Three facts about permutations
(ad)(becf)=
a b dc
a b dc
e f
fe
(ad)(becf)=
1. Every permutation is a product of cycles.
2. Every cycle is product of transpositions (swaps).
Three facts about permutations
3. So: Every permutation is a product of transpositions.
(ad)(becf)=
a b dc
a b dc
e f
fe
(ad)(becf)=
(1234) = (34)(24)(14)
1. Every permutation is a product of cycles.
2. Every cycle is product of transpositions (swaps).
Three facts about permutations
Example:
3. So: Every permutation is a product of transpositions.
(ad)(becf)=
a b dc
a b dc
e f
fe
(1234) = (34)(24)(14)
(1234)
[1, 2, 3, 4] [2, 3, 4, 1]
1. Every permutation is a product of cycles.
2. Every cycle is product of transpositions (swaps).
Three facts about permutations
Example:
3. So: Every permutation is a product of transpositions.
(ad)(becf)=
a b dc
a b dc
e f
fe
(1234) = (34)(24)(14)
(1234)
[1, 2, 3, 4] [2, 3, 4, 1]
[4, 2, 3, 1]
(14)
1. Every permutation is a product of cycles.
2. Every cycle is product of transpositions (swaps).
Three facts about permutations
Example:
3. So: Every permutation is a product of transpositions.
(ad)(becf)=
a b dc
a b dc
e f
fe
(1234) = (34)(24)(14)
(1234)
[1, 2, 3, 4] [2, 3, 4, 1]
[4, 2, 3, 1]
(14)
[2, 4, 3, 1]
(24)
1. Every permutation is a product of cycles.
2. Every cycle is product of transpositions (swaps).
Three facts about permutations
Example:
3. So: Every permutation is a product of transpositions.
(ad)(becf)=
a b dc
a b dc
e f
fe
(1234) = (34)(24)(14)
(1234)
[1, 2, 3, 4] [2, 3, 4, 1]
[4, 2, 3, 1]
(14)
[2, 4, 3, 1]
(24)
(34)
1. Every permutation is a product of cycles.
2. Every cycle is product of transpositions (swaps).
Three facts about permutations
Example:
3. So: Every permutation is a product of transpositions.
(ad)(becf)=
a b dc
a b dc
e f
fe
(1234) = (34)(24)(14)
(1234)
[1, 2, 3, 4] [2, 3, 4, 1]
[4, 2, 3, 1]
(14)
[2, 4, 3, 1]
(24)
(34)
1. Every permutation is a product of cycles.
2. Every cycle is product of transpositions (swaps).
Three facts about permutations
Example:
3. So: Every permutation is a product of transpositions.
(ad)(becf)=
a b dc
a b dc
e f
fe
In general: (a b … z) = (y z)(x z) … (b z)(a z)
Why do we care?
Starting with identity, we can do sensible, incremental
update over all permutations by applying transpositions.
This is the “for” loop in our ML algorithm.
5. Algorithm
Given space-preserved, MASC-encrypted cipher text of known
source language with alphabet , and training sample of text
from , find the permutation of that is the decryption key.
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Task
5. Algorithm
Symbols
= cipher textC<latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit>
= training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit>
= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
5. Algorithm
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
= current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit>
notationSymbols
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= training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit>
= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
5. Algorithm
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
<latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit>
Objective
()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
= current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit>
notationSymbols
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input data
5. Algorithm
1. Empirical probability of bigram “ab”.
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
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(1)
()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
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= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
Objective
5. Algorithm
1. Empirical probability of bigram “ab”.
2. Number nab of occurrences of bigram “ab” in current deciphered text.
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
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(1)
(2)()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
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= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
Objective
5. Algorithm
1. Empirical probability of bigram “ab”.
2. Number nab of occurrences of bigram “ab” in current deciphered text.
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
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(1)
(2)
“at”
()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
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= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
Objective
5. Algorithm
1. Empirical probability of bigram “ab”.
2. Number nab of occurrences of bigram “ab” in current deciphered text.
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
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(1)
(2)
“at” “at” “at”
()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
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= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
Objective
5. Algorithm
1. Empirical probability of bigram “ab”.
2. Number nab of occurrences of bigram “ab” in current deciphered text.
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
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(1)
(2)
0.05 ⇥ 0.05 ⇥ 0.05<latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit>
“at” “at” “at”
()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
= current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit>
notationSymbols
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= training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit>
= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
Objective
5. Algorithm
1. Empirical probability of bigram “ab”.
2. Number nab of occurrences of bigram “ab” in current deciphered text.
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
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(1)
(2)
0.05 ⇥ 0.05 ⇥ 0.05<latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit>
“at” “at” “at”
0.053
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0.053
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sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit>
=<latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit>
()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
= current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit>
notationSymbols
= cipher textC<latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit>
= training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit>
= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
Objective
5. Algorithm
1. Empirical probability of bigram “ab”.
2. Number nab of occurrences of bigram “ab” in current deciphered text.
3. Empirical probability of nab occurrences of
bigram “ab” in deciphered text.
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
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(1)
(2)
(3)
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“at” “at” “at”
0.053
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0.053
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sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit>
=<latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit>
()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
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= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
Objective
5. Algorithm
1. Empirical probability of bigram “ab”.
2. Number nab of occurrences of bigram “ab” in current deciphered text.
3. Empirical probability of nab occurrences of
bigram “ab” in deciphered text.
4. Empirical probability that each bigram appears as
many times as it does in deciphered text.
(1)
'() =
Y
(a,b)2A⇥A
(FT )
(M(C))ab
ab .
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(2)
(3)
(4)
0.05 ⇥ 0.05 ⇥ 0.05<latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit>
“at” “at” “at”
0.053
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0.053
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sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit>
=<latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit>
()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit>
= current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit>
= raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit>
, = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit>
FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit>
= current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit>
notationSymbols
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= training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit>
= alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit>
input data
Objective
Algorithm
= permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit>
prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit>
= provisional decryption key
Notation
= number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
Algorithm
= a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
= permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit>
prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit>
= provisional decryption key
= number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
0
B
B
@
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1
C
C
A 7 !
0
B
B
@
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
1
C
C
A = P(23)
<latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit>
(23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit>
0
B
B
@
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1
C
C
A 7 !
0
B
B
@
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
1
C
C
A = P(23)
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(23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit>
Notation
Algorithm
= a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
1. Set and compute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit>
FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit>
F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit>
= permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit>
prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit>
= provisional decryption key
= number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
0
B
B
@
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1
C
C
A 7 !
0
B
B
@
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
1
C
C
A = P(23)
<latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit>
(23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit>
Notation
Algorithm
= a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
1. Set and compute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit>
FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit>
F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit>
= permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit>
prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit>
= provisional decryption key
= number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit>
0
B
B
@
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1
C
C
A 7 !
0
B
B
@
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
1
C
C
A = P(23)
<latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit>
(23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit>
Notation
Algorithm
= a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
2. Choose at random, set .prov := ⌧<latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit>
⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
1. Set and compute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit>
FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit>
F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit>
= permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit>
prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit>
= provisional decryption key
= number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit>
0
B
B
@
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1
C
C
A 7 !
0
B
B
@
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
1
C
C
A = P(23)
<latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit>
(23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit>
Notation
Algorithm
3. Compute .Fprov(C) := Pt
⌧ F(C)P⌧<latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit 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sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit>
= a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
2. Choose at random, set .prov := ⌧<latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit>
⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
1. Set and compute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit>
FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit>
F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit>
= permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit>
prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit>
= provisional decryption key
= number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
(prov)<latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit>
()<latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit>
4. Compute and .
for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit>
0
B
B
@
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1
C
C
A 7 !
0
B
B
@
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
1
C
C
A = P(23)
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Notation
Algorithm
3. Compute .Fprov(C) := Pt
⌧ F(C)P⌧<latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit 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sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit 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sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit>
= a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
2. Choose at random, set .prov := ⌧<latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit>
⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
if :(prov) > ()<latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit>
F(C) := Fprov(C)<latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit>
5. Set .
1. Set and compute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit>
FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit>
F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit>
= permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit>
prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit>
= provisional decryption key
= number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
(prov)<latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit>
()<latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit>
4. Compute and .
for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit>
0
B
B
@
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1
C
C
A 7 !
0
B
B
@
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
1
C
C
A = P(23)
<latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit>
(23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit>
Notation
Algorithm
3. Compute .Fprov(C) := Pt
⌧ F(C)P⌧<latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit 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= a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
2. Choose at random, set .prov := ⌧<latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit>
⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
if :(prov) > ()<latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit>
F(C) := Fprov(C)<latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit>
5. Set .
 := prov<latexit sha1_base64="MvkjRA9dJDys5/s594mrSWwsPkY=">AAACDXicdVDLSgNBEJz1bXxFPXoZjIKnsCtqVFAELx4VjApJCL2TiQ6ZnRlmesWw5Ae8+CtePCji1bs3/8bJQ/BZ0FBUddPdFRspHIbhezA0PDI6Nj4xmZuanpmdy88vnDmdWsbLTEttL2JwXArFyyhQ8gtjOSSx5Odx67Drn19z64RWp9g2vJbApRJNwQC9VM+vVFtgDNDdPdpn9ayK/AaVtgnIzFh93enU84WwuFPa2tzeob9JVAx7KJABjuv5t2pDszThCpkE5ypRaLCWgUXBJO/kqqnjBlgLLnnFUwUJd7Ws902HrnqlQZva+lJIe+rXiQwS59pJ7DsTwCv30+uKf3mVFJvbtUwokyJXrL+omUqKmnajoQ1hOUPZ9gSYFf5Wyq7AAkMfYM6H8Pkp/Z+crRejsBidbBQO9gdxTJAlskzWSERK5IAckWNSJozcknvySJ6Cu+AheA5e+q1DwWBmkXxD8PoBCcSc3A==</latexit><latexit sha1_base64="MvkjRA9dJDys5/s594mrSWwsPkY=">AAACDXicdVDLSgNBEJz1bXxFPXoZjIKnsCtqVFAELx4VjApJCL2TiQ6ZnRlmesWw5Ae8+CtePCji1bs3/8bJQ/BZ0FBUddPdFRspHIbhezA0PDI6Nj4xmZuanpmdy88vnDmdWsbLTEttL2JwXArFyyhQ8gtjOSSx5Odx67Drn19z64RWp9g2vJbApRJNwQC9VM+vVFtgDNDdPdpn9ayK/AaVtgnIzFh93enU84WwuFPa2tzeob9JVAx7KJABjuv5t2pDszThCpkE5ypRaLCWgUXBJO/kqqnjBlgLLnnFUwUJd7Ws902HrnqlQZva+lJIe+rXiQwS59pJ7DsTwCv30+uKf3mVFJvbtUwokyJXrL+omUqKmnajoQ1hOUPZ9gSYFf5Wyq7AAkMfYM6H8Pkp/Z+crRejsBidbBQO9gdxTJAlskzWSERK5IAckWNSJozcknvySJ6Cu+AheA5e+q1DwWBmkXxD8PoBCcSc3A==</latexit><latexit sha1_base64="MvkjRA9dJDys5/s594mrSWwsPkY=">AAACDXicdVDLSgNBEJz1bXxFPXoZjIKnsCtqVFAELx4VjApJCL2TiQ6ZnRlmesWw5Ae8+CtePCji1bs3/8bJQ/BZ0FBUddPdFRspHIbhezA0PDI6Nj4xmZuanpmdy88vnDmdWsbLTEttL2JwXArFyyhQ8gtjOSSx5Odx67Drn19z64RWp9g2vJbApRJNwQC9VM+vVFtgDNDdPdpn9ayK/AaVtgnIzFh93enU84WwuFPa2tzeob9JVAx7KJABjuv5t2pDszThCpkE5ypRaLCWgUXBJO/kqqnjBlgLLnnFUwUJd7Ws902HrnqlQZva+lJIe+rXiQwS59pJ7DsTwCv30+uKf3mVFJvbtUwokyJXrL+omUqKmnajoQ1hOUPZ9gSYFf5Wyq7AAkMfYM6H8Pkp/Z+crRejsBidbBQO9gdxTJAlskzWSERK5IAckWNSJozcknvySJ6Cu+AheA5e+q1DwWBmkXxD8PoBCcSc3A==</latexit><latexit sha1_base64="MvkjRA9dJDys5/s594mrSWwsPkY=">AAACDXicdVDLSgNBEJz1bXxFPXoZjIKnsCtqVFAELx4VjApJCL2TiQ6ZnRlmesWw5Ae8+CtePCji1bs3/8bJQ/BZ0FBUddPdFRspHIbhezA0PDI6Nj4xmZuanpmdy88vnDmdWsbLTEttL2JwXArFyyhQ8gtjOSSx5Odx67Drn19z64RWp9g2vJbApRJNwQC9VM+vVFtgDNDdPdpn9ayK/AaVtgnIzFh93enU84WwuFPa2tzeob9JVAx7KJABjuv5t2pDszThCpkE5ypRaLCWgUXBJO/kqqnjBlgLLnnFUwUJd7Ws902HrnqlQZva+lJIe+rXiQwS59pJ7DsTwCv30+uKf3mVFJvbtUwokyJXrL+omUqKmnajoQ1hOUPZ9gSYFf5Wyq7AAkMfYM6H8Pkp/Z+crRejsBidbBQO9gdxTJAlskzWSERK5IAckWNSJozcknvySJ6Cu+AheA5e+q1DwWBmkXxD8PoBCcSc3A==</latexit>
6. Set .
1. Set and compute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit>
FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit>
F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit>
= permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit>
prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit>
= provisional decryption key
= number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
(prov)<latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit>
()<latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit>
4. Compute and .
for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit>
i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit>
0
B
B
@
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1
C
C
A 7 !
0
B
B
@
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
1
C
C
A = P(23)
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Notation
Algorithm
3. Compute .Fprov(C) := Pt
⌧ F(C)P⌧<latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit 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sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit 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sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit>
= a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2q
Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward
Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward
Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward
Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward
Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward
Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward
Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward

Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward

  • 1.
    Solving very simplesubstitution ciphers algorithmically Stephen Enright-Ward lateral.io stephen@lateral.io
  • 2.
    2. There stillexist encrypted, unreadable historical texts. 1. Fun, unusual application of machine learning This is cool
  • 3.
  • 4.
  • 5.
    2. No originalresearch 1. This is a toy problem Disclaimer
  • 6.
    Outline 1. Introduction 2. Framingthe problem 3. Naive solution 4. Maths + stats tools 5. Algorithm
  • 7.
  • 8.
    1. Introduction Cipher textPlaintext encryption decryption Encryption & decryption
  • 9.
    1. Introduction Cipher textPlaintext encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption
  • 10.
    1. Introduction Cipher textPlaintext encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm:
  • 11.
    1. Introduction Cipher textPlaintext encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm: {a 7! b, b 7! c, . . .}<latexit sha1_base64="v4rjKncKUxiOht1plgEILCpWNAA=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASTByfBxJFSK3gNzPCykgh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNNaduA==</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="+qXmXDvbsp9dxNODp3hOJ51qX74=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8DEEvRonSAgZlGHxecBl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBBJuI</latexit> {b 7! a, c 7! b, . . .}<latexit sha1_base64="5hczuU3PZbTCk1ak6zzIIIj/v8M=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASVzk+DiSKkS4gMjnxS0gh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNOqduA==</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="9IzG5xCESr5mu8279n94muQyH4w=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8LIBejBKlBURliD8vQRl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBGJuI</latexit> Encryption = Decryption = Keys:
  • 12.
    1. Introduction Cipher textPlaintext encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” 1. Choose algorithm 2. Choose key 1. Deduce algorithm 2. Deduce key Encryption: Decryption: Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm: {a 7! b, b 7! c, . . .}<latexit sha1_base64="v4rjKncKUxiOht1plgEILCpWNAA=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASTByfBxJFSK3gNzPCykgh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNNaduA==</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="+qXmXDvbsp9dxNODp3hOJ51qX74=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8DEEvRonSAgZlGHxecBl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBBJuI</latexit> {b 7! a, c 7! b, . . .}<latexit sha1_base64="5hczuU3PZbTCk1ak6zzIIIj/v8M=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASVzk+DiSKkS4gMjnxS0gh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNOqduA==</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="9IzG5xCESr5mu8279n94muQyH4w=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8LIBejBKlBURliD8vQRl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBGJuI</latexit> Encryption = Decryption = Keys:
  • 13.
    A “Mono-Alphabetic SubstitutionCipher” (MASC) means: Replace each plain text letter with a single, fixed cipher text letter. Important “the cat sat on the mat” “uif dbu tbu po uif nbu” From now on: I only talk about MASCs.
  • 14.
  • 15.
    2. Framing theproblem Assumptions
  • 16.
    2. Framing theproblem 1. We know cipher text is MASC-encrypted Assumptions
  • 17.
    2. Framing theproblem 2. We have “enough” cipher text 1. We know cipher text is MASC-encrypted Assumptions
  • 18.
    2. Framing theproblem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted Assumptions
  • 19.
    2. Framing theproblem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language Assumptions
  • 20.
    2. Framing theproblem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language Assumptions Consequences
  • 21.
    2. Framing theproblem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible Assumptions Consequences
  • 22.
    2. Framing theproblem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible 3. means we can use statistics on character sequences Assumptions Consequences
  • 23.
    2. Framing theproblem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible 3. means we can use statistics on character sequences 4. means we can use ML on “training text”. Assumptions Consequences
  • 24.
    Permutation: A rearrangementof distinct objects (for us, letters) Permutations
  • 25.
    Permutations Permutation: A rearrangementof distinct objects (for us, letters) Formally: one-to-one map from a finite set to itself
  • 26.
    Permutations Permutation: A rearrangementof distinct objects (for us, letters) Formally: one-to-one map from a finite set to itself Different notation
  • 27.
    a b dc ab dc Permutations Permutation: A rearrangement of distinct objects (for us, letters) arrow diagramarrow diagram Different notation Formally: one-to-one map from a finite set to itself
  • 28.
    {a: b, b:c, c: a, d: d} a b dc a b dc arrow diagram Permutations Formally: one-to-one map from a finite set to itself arrow diagram Different notation Permutation: A rearrangement of distinct objects (for us, letters) dictionary
  • 29.
    Formally: one-to-one mapfrom a finite set to itself {a: b, b: c, c: a, d: d} dictionary a b dc a b dc arrow diagram Different notation cycles (abc)(d) = (abc) Permutations Permutation: A rearrangement of distinct objects (for us, letters)
  • 30.
    cipher text alphabetplain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
  • 31.
    cipher text alphabetplain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
  • 32.
    cipher text alphabetplain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one:
  • 33.
    cipher text alphabetplain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th
  • 34.
    cipher text alphabetplain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo”
  • 35.
    cipher text alphabetplain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo” Can assume cipher text and plain text have same alphabet
  • 36.
    cipher text alphabetplain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo” Can assume cipher text and plain text have same alphabet Hence: Decryption key is a permutation
  • 37.
    Given space-preserved, MASC-encryptedcipher text of known source language with alphabet , and training sample of text from , find the permutation of that is the decryption key. T<latexit sha1_base64="k4E3SZe62TFdN220BuJbJgfuB6E=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIvHBLJBMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdyq2srq1v5DcLW9s7u3vF/YOWilPJsMliEcuOTxUKHmFTcy2wk0ikoS+w7Y+vZ377DqXicdTQkwS9kA4jHnBGtZHqjX6x5NiXlXO3Uia/iWs7c5RgiVq/+NYbxCwNMdJMUKW6rpNoL6NScyZwWuilChPKxnSIXUMjGqLysvmhU3JilAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQcXLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJtsCiaEz0/J/6R1ZruO7dbLperVMo48HMExnIILF1CFG6hBExgg3MMjPFm31oP1bL0sWnPWcuYQvsF6/QBK/41A</latexit><latexit sha1_base64="k4E3SZe62TFdN220BuJbJgfuB6E=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIvHBLJBMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdyq2srq1v5DcLW9s7u3vF/YOWilPJsMliEcuOTxUKHmFTcy2wk0ikoS+w7Y+vZ377DqXicdTQkwS9kA4jHnBGtZHqjX6x5NiXlXO3Uia/iWs7c5RgiVq/+NYbxCwNMdJMUKW6rpNoL6NScyZwWuilChPKxnSIXUMjGqLysvmhU3JilAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQcXLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJtsCiaEz0/J/6R1ZruO7dbLperVMo48HMExnIILF1CFG6hBExgg3MMjPFm31oP1bL0sWnPWcuYQvsF6/QBK/41A</latexit><latexit 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sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit> <latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit>
  • 38.
  • 39.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> Iterate over all permutations of until we get the right answer. Algorithm
  • 40.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> Iterate over all permutations of until we get the right answer. 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> Algorithm
  • 41.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> Iterate over all permutations of until we get the right answer. ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> Algorithm
  • 42.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> Iterate over all permutations of until we get the right answer. ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> Algorithm
  • 43.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> Iterate over all permutations of until we get the right answer. ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> Algorithm
  • 44.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> Iterate over all permutations of until we get the right answer. ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> Algorithm If the new decrypted text looks more like the training text than the old decrypted text
  • 45.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> Iterate over all permutations of until we get the right answer. ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> Algorithm If the new decrypted text looks more like the training text than the old decrypted text If is a better decryption key than <latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit> ⇡<latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit> )<latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit>
  • 46.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> Iterate over all permutations of until we get the right answer. ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> 2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> Algorithm If the new decrypted text looks more like the training text than the old decrypted text If is a better decryption key than <latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit> ⇡<latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit><latexit sha1_base64="3VjYUDiGsYQaCtqJke6lBwAyXOw=">AAAB63icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYB6QLGF2MkmGzMwuM71CWPILXjwo4tUf8ubfuJtE8FnQUFR1090VxlJY9Lx3Z2V1bX1js7BV3N7Z3dsvHRy2bJQYxpsskpHphNRyKTRvokDJO7HhVIWSt8PJVe6377ixItK3OI15oOhIi6FgFHOpF4tiv1T23Fqtcu7XyG/iu94cZVii0S+99QYRSxTXyCS1tut7MQYpNSiY5LNiL7E8pmxCR7ybUU0Vt0E6v3VGTjNlQIaRyUojmatfJ1KqrJ2qMOtUFMf2p5eLf3ndBIeXQSp0nCDXbLFomEiCEckfJwNhOEM5zQhlRmS3EjamhjLM4slD+PyU/E9aFdf3XP+mWq5Xl3EU4BhO4Ax8uIA6XEMDmsBgDPfwCE+Och6cZ+dl0briLGeO4Buc1w8QRY42</latexit> )<latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit><latexit sha1_base64="Ax2oFMZMznkzQncuwLtyfVN0DCw=">AAAB83icdVDLSgNBEOz1GeMr6tHLYBA8LbsxoLkFvHiMYh6QLGF2MpsMmZ1ZZmaVsOQ3vHhQxKs/482/cTaJ4LOgoajqprsrTDjTxvPenaXlldW19cJGcXNre2e3tLff0jJVhDaJ5FJ1QqwpZ4I2DTOcdhJFcRxy2g7HF7nfvqVKMyluzCShQYyHgkWMYGOlXu+aDUcGKyXviv1S2XNrtcqpX0O/ie96M5RhgUa/9NYbSJLGVBjCsdZd30tMkGFlGOF0WuylmiaYjPGQdi0VOKY6yGY3T9GxVQYoksqWMGimfp3IcKz1JA5tZ4zNSP/0cvEvr5ua6DzImEhSQwWZL4pSjoxEeQBowBQlhk8swUQxeysiI6wwMTamPITPT9H/pFVxfc/1r6rlenURRwEO4QhOwIczqMMlNKAJBBK4h0d4clLnwXl2XuatS85i5gC+wXn9AFUDkdY=</latexit>
  • 47.
    3. Naive algorithm A<latexitsha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit>  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> Iterate over all permutations of until we get the right answer. 3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit> ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> 2. Set Algorithm If the new decrypted text looks more like the training text than the old decrypted text If is a better decryption key than <latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit sha1_base64="C3IZOzEyq4yEzmCuxZTX0wDzPrU=">AAAB7nicdVDLSsNAFJ34rPVVdelmsAiuQlIL2l3BjcsK9gFtKDfTSTtkMhlmJkIJ/Qg3LhRx6/e482+ctBV8HrhwOOde7r0nlJxp43nvzsrq2vrGZmmrvL2zu7dfOTjs6DRThLZJylPVC0FTzgRtG2Y47UlFIQk57YbxVeF376jSLBW3ZippkMBYsIgRMFbqDmKQEsrDStVzG43aud/Av4nvenNU0RKtYeVtMEpJllBhCAet+74nTZCDMoxwOisPMk0lkBjGtG+pgITqIJ+fO8OnVhnhKFW2hMFz9etEDonW0yS0nQmYif7pFeJfXj8z0WWQMyEzQwVZLIoyjk2Ki9/xiClKDJ9aAkQxeysmE1BAjE2oCOHzU/w/6dRc33P9m3q1WV/GUULH6ASdIR9doCa6Ri3URgTF6B49oidHOg/Os/OyaF1xljNH6Buc1w9X7o+I</latexit><latexit 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  • 48.
    3. Naive algorithm Problems Iterateover all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> 3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit> ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> 2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> Algorithm
  • 49.
    3. Naive algorithm 1million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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Many permutations: 26! 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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit> Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> 3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit> ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit 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sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> 2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> Algorithm Problems
  • 50.
    3. Naive algorithm 2.How to check when two texts are “similar”? 1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="y9OegHeckskHDmulfK1vupEQ6Ro=">AAAB5XicbZDNSgMxFIXv1L9aq1a3boJFcFVmdKFLwY3LCvZH2qFk0jttaJIZk4xQhj6FGxeK+ErufBvTaRfaeiDwcU5C7j1RKrixvv/tlTY2t7Z3yruVver+wWHtqNo2SaYZtlgiEt2NqEHBFbYstwK7qUYqI4GdaHI7zzvPqA1P1IOdphhKOlI85oxaZz32DZf4RILLQa3uN/xCZB2CJdRhqeag9tUfJiyTqCwT1Jhe4Kc2zKm2nAmcVfqZwZSyCR1hz6GiEk2YFwPPyJlzhiROtDvKksL9/SKn0pipjNxNSe3YrGZz87+sl9n4Osy5SjOLii0+ijNBbELm25Mh18ismDqgTHM3K2FjqimzrqOKKyFYXXkd2heNwG8E9z6U4QRO4RwCuIIbuIMmtICBhBd4g3dPe6/ex6Kukrfs7Rj+yPv8Ab35jng=</latexit><latexit sha1_base64="7NMmtXSxOWbnXkf9+mogHD5vrqo=">AAAB5XicdVDLSgNBEOyNrxijRq9eBoPgadk1islN8OIxgnlIsoTZSW8yZGZ3nZkVQshXePGgiL/kzb9x8hB8FjQUVd10d4Wp4Np43ruTW1ldW9/Ibxa2its7u6W9YlMnmWLYYIlIVDukGgWPsWG4EdhOFVIZCmyFo8uZ37pHpXkS35hxioGkg5hHnFFjpduu5hLviF/plcqeW6vWTitn5DfxXW+OMixR75Xeuv2EZRJjwwTVuuN7qQkmVBnOBE4L3UxjStmIDrBjaUwl6mAyP3hKjqzSJ1GibMWGzNWvExMqtR7L0HZKaob6pzcT//I6mYmqwYTHaWYwZotFUSaIScjse9LnCpkRY0soU9zeStiQKsqMzahgQ/j8lPxPmieu77n+tQd5OIBDOAYfzuECrqAODWAg4QGe4NlRzqPzsogr5yxz24dvcF4/AF5bjuo=</latexit><latexit sha1_base64="nixp0y6fUQW3uXv72rzERNSfu+Q=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZcMLlIwIvHCGaRZAg9nZqkSXfP2N0jhCFf4cWDIl79HG/+jZ1FcH1Q8Hiviqp6YcKZNp737uQWFpeWV/KrhbX1jc2t4vZOQ8epolCnMY9VKyQaOJNQN8xwaCUKiAg5NMPhxcRv3oHSLJbXZpRAIEhfsohRYqx009FMwC32j7vFkudWypWT41P8m/iuN0UJzVHrFt86vZimAqShnGjd9r3EBBlRhlEO40In1ZAQOiR9aFsqiQAdZNODx/jAKj0cxcqWNHiqfp3IiNB6JELbKYgZ6J/eRPzLa6cmKgcZk0lqQNLZoijl2MR48j3uMQXU8JElhCpmb8V0QBShxmZUsCF8for/J40j1/dc/8orVc/nceTRHtpHh8hHZ6iKLlEN1RFFAt2jR/TkKOfBeXZeZq05Zz6zi77Bef0Ak0CQPQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit> 1. Many permutations: 26! ' 4 ⇥ 1026 <latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit 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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit> Iterate over all permutations of until we get the right answer.A<latexit 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sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> 3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit> ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> 2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> Algorithm Problems
  • 51.
    3. Naive algorithm 2.How to check when two texts are “similar”? 1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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Many permutations: 26! 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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit> Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> 3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit> ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> 2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> Solutions Algorithm Problems
  • 52.
    3. Naive algorithm 2.How to check when two texts are “similar”? 1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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Many permutations: 26! ' 4 ⇥ 1026 <latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit 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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit> Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> 3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit> ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> 2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> 1. Iteratively update sensibly over Perm(A)<latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit> Algorithm Problems Solutions
  • 53.
    3. Naive algorithm 2.How to check when two texts are “similar”? 1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="y9OegHeckskHDmulfK1vupEQ6Ro=">AAAB5XicbZDNSgMxFIXv1L9aq1a3boJFcFVmdKFLwY3LCvZH2qFk0jttaJIZk4xQhj6FGxeK+ErufBvTaRfaeiDwcU5C7j1RKrixvv/tlTY2t7Z3yruVver+wWHtqNo2SaYZtlgiEt2NqEHBFbYstwK7qUYqI4GdaHI7zzvPqA1P1IOdphhKOlI85oxaZz32DZf4RILLQa3uN/xCZB2CJdRhqeag9tUfJiyTqCwT1Jhe4Kc2zKm2nAmcVfqZwZSyCR1hz6GiEk2YFwPPyJlzhiROtDvKksL9/SKn0pipjNxNSe3YrGZz87+sl9n4Osy5SjOLii0+ijNBbELm25Mh18ismDqgTHM3K2FjqimzrqOKKyFYXXkd2heNwG8E9z6U4QRO4RwCuIIbuIMmtICBhBd4g3dPe6/ex6Kukrfs7Rj+yPv8Ab35jng=</latexit><latexit sha1_base64="7NMmtXSxOWbnXkf9+mogHD5vrqo=">AAAB5XicdVDLSgNBEOyNrxijRq9eBoPgadk1islN8OIxgnlIsoTZSW8yZGZ3nZkVQshXePGgiL/kzb9x8hB8FjQUVd10d4Wp4Np43ruTW1ldW9/Ibxa2its7u6W9YlMnmWLYYIlIVDukGgWPsWG4EdhOFVIZCmyFo8uZ37pHpXkS35hxioGkg5hHnFFjpduu5hLviF/plcqeW6vWTitn5DfxXW+OMixR75Xeuv2EZRJjwwTVuuN7qQkmVBnOBE4L3UxjStmIDrBjaUwl6mAyP3hKjqzSJ1GibMWGzNWvExMqtR7L0HZKaob6pzcT//I6mYmqwYTHaWYwZotFUSaIScjse9LnCpkRY0soU9zeStiQKsqMzahgQ/j8lPxPmieu77n+tQd5OIBDOAYfzuECrqAODWAg4QGe4NlRzqPzsogr5yxz24dvcF4/AF5bjuo=</latexit><latexit sha1_base64="nixp0y6fUQW3uXv72rzERNSfu+Q=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZcMLlIwIvHCGaRZAg9nZqkSXfP2N0jhCFf4cWDIl79HG/+jZ1FcH1Q8Hiviqp6YcKZNp737uQWFpeWV/KrhbX1jc2t4vZOQ8epolCnMY9VKyQaOJNQN8xwaCUKiAg5NMPhxcRv3oHSLJbXZpRAIEhfsohRYqx009FMwC32j7vFkudWypWT41P8m/iuN0UJzVHrFt86vZimAqShnGjd9r3EBBlRhlEO40In1ZAQOiR9aFsqiQAdZNODx/jAKj0cxcqWNHiqfp3IiNB6JELbKYgZ6J/eRPzLa6cmKgcZk0lqQNLZoijl2MR48j3uMQXU8JElhCpmb8V0QBShxmZUsCF8for/J40j1/dc/8orVc/nceTRHtpHh8hHZ6iKLlEN1RFFAt2jR/TkKOfBeXZeZq05Zz6zi77Bef0Ak0CQPQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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Many permutations: 26! ' 4 ⇥ 1026 <latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit 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sha1_base64="rY++Rrb648DqqZDuikKoXcvqybA=">AAACBHicdVDJSgNBEO2JW4zbqMdcWoPgaeiJMSYXCXjxGMEskBlDT6cnadKz2N0jhCEHL/6KFw+KePUjvPk3dhbB9UHB470qqup5MWdSIfRuZBYWl5ZXsqu5tfWNzS1ze6cpo0QQ2iARj0Tbw5JyFtKGYorTdiwoDjxOW97wbOK3bqiQLAov1SimboD7IfMZwUpLXTNfLO9BR7KAXsMSdJQmEtroKi2Wx12zgKxqpVo6Ooa/iW2hKQpgjnrXfHN6EUkCGirCsZQdG8XKTbFQjHA6zjmJpDEmQ9ynHU1DrJe56fSJMTzQSg/6kdAVKjhVv06kOJByFHi6M8BqIH96E/Evr5Mov+KmLIwTRUMyW+QnHKoIThKBPSYoUXykCSaC6VshGWCBidK55XQIn5/C/0mzaNnIsi9QoXY6jyML8mAfHAIbnIAaOAd10AAE3IJ78AiejDvjwXg2XmatGWM+swu+wXj9ABe1lng=</latexit><latexit 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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit> Iterate over all permutations of until we get the right answer.A<latexit 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sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> 3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit> ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> 2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> 2. “similar” = letter sequence frequencies Perm(A)<latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit> Algorithm Problems Solutions 1. Iteratively update sensibly over
  • 54.
    3. Naive algorithm 2.How to check when two texts are “similar”? 1 million/sec trillion years' 13<latexit sha1_base64="PGOENoe/iSw6J2lmks/eCSB0UOg=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiB4GmZMxOQiAS8eI5hFkiH0dGqSJt09Y3ePEEK+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3cksLa+srmXXcxubW9s7+d29ho5TRaFOYx6rVkg0cCahbpjh0EoUEBFyaIbDi6nfvAOlWSyvzSiBQJC+ZBGjxFjppqOZgFvsF7v5gudWypVS8RT/Jr7rzVBAC9S6+bdOL6apAGkoJ1q3fS8xwZgowyiHSa6TakgIHZI+tC2VRIAOxrODJ/jIKj0cxcqWNHimfp0YE6H1SIS2UxAz0D+9qfiX105NVA7GTCapAUnni6KUYxPj6fe4xxRQw0eWEKqYvRXTAVGEGptRzobw+Sn+nzROXN9z/atSoXq+iCOLDtAhOkY+OkNVdIlqqI4oEugePaInRzkPzrPzMm/NOIuZffQNzusHlICQQQ==</latexit><latexit 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Many permutations: 26! ' 4 ⇥ 1026 <latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit 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sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit><latexit sha1_base64="9M0Yb486AZay8CZJ2lFZp7o1GLA=">AAACBHicdVDLSsNAFJ3UV62vqMtuRovgKiS11nYjBTcuK9gHNLFMppN26GQSZyZCCV248VfcuFDErR/hzr9x+hB8HrhwOOde7r3HjxmVyrbfjczC4tLySnY1t7a+sbllbu80ZZQITBo4YpFo+0gSRjlpKKoYaceCoNBnpOUPzyZ+64YISSN+qUYx8ULU5zSgGCktdc18sbwHXUlDcg1L0FWaSOjYV2mxPO6aBduqVqqlo2P4mziWPUUBzFHvmm9uL8JJSLjCDEnZcexYeSkSimJGxjk3kSRGeIj6pKMpR3qZl06fGMMDrfRgEAldXMGp+nUiRaGUo9DXnSFSA/nTm4h/eZ1EBRUvpTxOFOF4tihIGFQRnCQCe1QQrNhIE4QF1bdCPEACYaVzy+kQPj+F/5Nm0XJsy7koFWqn8ziyIA/2wSFwwAmogXNQBw2AwS24B4/gybgzHoxn42XWmjHmM7vgG4zXDxj1lnw=</latexit> Iterate over all permutations of until we get the right answer.A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> 3. Return .<latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit><latexit sha1_base64="2xKwn9k2JTaH4lUu6vItbTsqeJo=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZETXKRgBePEcwCyRBqOj1Jm57pprtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1QsmZNp737uSWlldW1/LrhY3Nre2d4u5eU4tUEdogggvVDkFTzhLaMMxw2paKQhxy2gpHl1O/dUeVZiK5MWNJgxgGCYsYAWOlZncEUkKvWPLcavn8rFLFv4nvejOU0AL1XvGt2xckjWliCAetO74nTZCBMoxwOil0U00lkBEMaMfSBGKqg2x27QQfWaWPI6FsJQbP1K8TGcRaj+PQdsZghvqnNxX/8jqpiSpBxhKZGpqQ+aIo5dgIPH0d95mixPCxJUAUs7diMgQFxNiACjaEz0/x/6R54vqe61+flmoXizjy6AAdomPkozKqoStURw1E0C26R4/oyRHOg/PsvMxbc85iZh99g/P6AVQOj58=</latexit> ⇡ 2 Perm(A)<latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit><latexit sha1_base64="y3/T1wtLxB2Lc90Ry55TrKu/br8=">AAACBXicdVA9SwNBEN3z2/gVtdRiMQixCXcSURtRbCwjGBVyIextJsmS3b1jd04MRxob/4qNhSK2/gc7/42bGMHPBwOP92aYmRclUlj0/TdvbHxicmp6ZjY3N7+wuJRfXjm3cWo4VHksY3MZMQtSaKiiQAmXiQGmIgkXUfd44F9cgbEi1mfYS6CuWFuLluAMndTIr4eJoKHQNES4Rh0bxWRWAaP6xaOtRr7gl/b3y/7uDv1NgpI/RIGMUGnkX8NmzFMFGrlk1tYCP8F6xgwKLqGfC1MLCeNd1oaao5opsPVs+EWfbjqlSVuxcaWRDtWvExlT1vZU5DoVw4796Q3Ev7xaiq29eiZ0kiJo/rGolUqKMR1EQpvCAEfZc4RxI9ytlHeYYRxdcDkXwuen9H9yvl0K/FJwWi4cHozimCFrZIMUSUB2ySE5IRVSJZzckDvyQB69W+/ee/KeP1rHvNHMKvkG7+UdhMCYlQ==</latexit> for all : 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit> if is more similar to than is similar to :⇡(C)<latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit><latexit sha1_base64="t2jcUmlvV7oyZBOWwmAd7IOF5/Y=">AAAB7XicdVDJSgNBEK2JW4xb1KOXxiDES5iRSMxFArl4jGAWSIbQ0+lJ2vR0D909QhjyD148KOLV//Hm39hZBNcHBY/3qqiqF8ScaeO6705mZXVtfSO7mdva3tndy+8ftLRMFKFNIrlUnQBrypmgTcMMp51YURwFnLaDcX3mt++o0kyKGzOJqR/hoWAhI9hYqdWLWbF+2s8X3FK1WnYr5+g38UruHAVYotHPv/UGkiQRFYZwrHXXc2Pjp1gZRjid5nqJpjEmYzykXUsFjqj20/m1U3RilQEKpbIlDJqrXydSHGk9iQLbGWEz0j+9mfiX101MeOGnTMSJoYIsFoUJR0ai2etowBQlhk8swUQxeysiI6wwMTagnA3h81P0P2mdlTy35F2XC7XLZRxZOIJjKIIHFajBFTSgCQRu4R4e4cmRzoPz7LwsWjPOcuYQvsF5/QA1s47h</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> T<latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit><latexit sha1_base64="DYANdvC6wVU/CE2/ieLV0v8e0hQ=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkEnORgBePCSQxkAyhp1OTtOlZ6O4RwpAv8OJBEa9+kjf/xs4iuD4oeLxXRVU9PxFcacd5t3Irq2vrG/nNwtb2zu5ecf+greJUMmyxWMSy41OFgkfY0lwL7CQSaegLvPHHVzP/5g6l4nHU1JMEvZAOIx5wRrWRGs1+seTY1WrZqZyT38S1nTlKsES9X3zrDWKWhhhpJqhSXddJtJdRqTkTOC30UoUJZWM6xK6hEQ1Redn80Ck5McqABLE0FWkyV79OZDRUahL6pjOkeqR+ejPxL6+b6uDCy3iUpBojtlgUpILomMy+JgMukWkxMYQyyc2thI2opEybbAomhM9Pyf+kfWa7ju02yqXa5TKOPBzBMZyCCxWowTXUoQUMEO7hEZ6sW+vBerZeFq05azlzCN9gvX4AQlCNOg==</latexit> (C)<latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit><latexit sha1_base64="3leqQlLNdv2CsWFM7pWBB5CkHgQ=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjkZiLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1IpeeVz/Jv4rjdHAS1R7+Xfuv2IJIJKQzho3fG92AQpKMMIp9NcN9E0BjKGIe1YKkFQHaTzg6f4xCp9PIiULWnwXP06kYLQeiJC2ynAjPRPbyb+5XUSM7gIUibjxFBJFosGCccmwrPvcZ8pSgyfWAJEMXsrJiNQQIzNKGdD+PwU/0+aZ67vuf51qVC9XMaRRUfoGBWRj8qoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AH/QkDM=</latexit> 2. Set  := ⇡<latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit><latexit sha1_base64="DiyA04L2AO4++VwbVjy/7xbvVVE=">AAAB9HicdVDLSsNAFJ3UV62vqks3g0VwFRKt2ApKwY3LCrYVmlBuppN26CQZZyaFEvodblwo4taPceffOH0IPg9cOJxzL/feEwjOlHacdyu3sLi0vJJfLaytb2xuFbd3mipJJaENkvBE3gagKGcxbWimOb0VkkIUcNoKBpcTvzWkUrEkvtEjQf0IejELGQFtJN8bgBCAz86xJ1inWHLsaqVaPj7Bv4lrO1OU0Bz1TvHN6yYkjWisCQel2q4jtJ+B1IxwOi54qaICyAB6tG1oDBFVfjY9eowPjNLFYSJNxRpP1a8TGURKjaLAdEag++qnNxH/8tqpDit+xmKRahqT2aIw5VgneJIA7jJJieYjQ4BIZm7FpA8SiDY5FUwIn5/i/0nzyHYd270ul2oX8zjyaA/to0PkolNUQ1eojhqIoDt0jx7RkzW0Hqxn62XWmrPmM7voG6zXDzwVkb8=</latexit> 2. “similar” = letter sequence frequencies Perm(A)<latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit><latexit sha1_base64="Zh75tfmlgX41WTu5S/NrJtmohMA=">AAAB/XicdVDJSgNBEO2JW4xbXG5eGoMQL2HGBfUiES8eIxgVkhB6OpWksbtn6K4R4xD8FS8eFPHqf3jzb+zECK4PCh7vVVFVL4ylsOj7b15mbHxicio7nZuZnZtfyC8undkoMRyqPJKRuQiZBSk0VFGghIvYAFOhhPPw8mjgn1+BsSLSp9iLoaFYR4u24Ayd1Myv1BGuUUdGMZlWwKh+8XCjmS/4pf29/e2tHfqbBCV/iAIZodLMv9ZbEU8UaOSSWVsL/BgbKTMouIR+rp5YiBm/ZB2oOaqZAttIh9f36bpTWrQdGVca6VD9OpEyZW1Pha5TMezan95A/MurJdjea6RCxwmC5h+L2omkGNFBFLQlDHCUPUcYN8LdSnmXGcbRBZZzIXx+Sv8nZ5ulwC8FJ9uF8sEojixZJWukSAKyS8rkmFRIlXByQ+7IA3n0br1778l7/mjNeKOZZfIN3ss7Jp2VqQ==</latexit> Machine learning! Algorithm Problems Solutions 1. Iteratively update sensibly over
  • 55.
  • 56.
    4. Maths andstats An “n-gram” means a sequence of n letters inside a word (i.e. uninterrupted by a space) n-grams
  • 57.
    4. Maths andstats An “n-gram” means a sequence of n letters inside a word (i.e. uninterrupted by a space) text = ‘the large cat sat on the mat’ example n-grams
  • 58.
    4. Maths andstats An “n-gram” means a sequence of n letters inside a word (i.e. uninterrupted by a space) text = ‘the large cat sat on the mat’ 1-grams: ‘t’, ‘h’, ‘e’, ‘l’, ‘a’, ‘r’, … n-grams example
  • 59.
    4. Maths andstats An “n-gram” means a sequence of n letters inside a word (i.e. uninterrupted by a space) text = ‘the large cat sat on the mat’ 2-grams: ‘th’, ‘he’, ‘la’, ‘ar’, ‘rg’ … 1-grams: ‘t’, ‘h’, ‘e’, ‘l’, ‘a’, ‘r’, … n-grams example
  • 60.
    4. Maths andstats An “n-gram” means a sequence of n letters inside a word (i.e. uninterrupted by a space) text = ‘the large cat sat on the mat’ 3-grams: ‘the’, ‘lar’, ‘arg’, ‘rge’, ‘cat’ n-grams example 2-grams: ‘th’, ‘he’, ‘la’, ‘ar’, ‘rg’ … 1-grams: ‘t’, ‘h’, ‘e’, ‘l’, ‘a’, ‘r’, …
  • 61.
    Bigrams from GermanWikipedia article “Kryptographie” bigrams in the wild
  • 62.
    Bigrams from GermanWikipedia article “Kryptographie” bigrams in the wild a b c a b c … . . .
  • 63.
    Bigrams from GermanWikipedia article “Kryptographie” a b c a b c … . .. N E EN bigrams in the wild
  • 64.
    Stable within alanguage, vary between languages bigrams are like fingerprints
  • 65.
    Stable within alanguage, vary between languages bigrams are like fingerprints
  • 66.
    Stable within alanguage, vary between languages bigrams are like fingerprints
  • 67.
    Stable within alanguage, vary between languages AncientRomeCryptography bigrams are like fingerprints
  • 68.
    shuffle bigram matrixMASCencryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 69.
    ‘the cat saton the mat’ ‘noa ehn shn ct noa mhn’ <latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 70.
    ‘the cat saton the mat’ ‘noa ehn shn ct noa mhn’ <latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> {a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 71.
    ‘the cat saton the mat’ ‘noa ehn shn ct noa mhn’ <latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> {a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 72.
    ‘the cat saton the mat’ ‘noa ehn shn ct noa mhn’ <latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> {a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> row + col shuffle shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 73.
    ‘the cat saton the mat’ ‘noa ehn shn ct noa mhn’ <latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> {a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> row + col shuffle shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 74.
    ‘the cat saton the mat’ ‘noa ehn shn ct noa mhn’ <latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> {a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> row + col shuffle HNAT 7 !<latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit> shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 75.
    ‘the cat saton the mat’ ‘noa ehn shn ct noa mhn’ <latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> {a: h, c: e, e: a, h: o, m: m, n: t, o: c, s: s, t: n}=<latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit><latexit sha1_base64="gZvcxXeTv7WpKiQtWz2yvJ6yEB0=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmZEE3MLevEYwSyQDKGm05O06ekeunuEMOQfvHhQxKv/482/sbMIrg8KHu9VUVUvTDjTxvPendzS8srqWn69sLG5tb1T3N1rapkqQhtEcqnaIWjKmaANwwyn7URRiENOW+Hocuq37qjSTIobM05oEMNAsIgRMFZqdkeQJNArljy3WilXz8r4N/Fdb4YSWqDeK751+5KkMRWGcNC643uJCTJQhhFOJ4VuqmkCZAQD2rFUQEx1kM2uneAjq/RxJJUtYfBM/TqRQaz1OA5tZwxmqH96U/Evr5Oa6DzImEhSQwWZL4pSjo3E09dxnylKDB9bAkQxeysmQ1BAjA2oYEP4/BT/T5onru+5/vVpqXaxiCOPDtAhOkY+qqAaukJ11EAE3aJ79IieHOk8OM/Oy7w15yxm9tE3OK8fTLGPnQ==</latexit> row + col shuffle permute bigram matrixMASCs relabel bigrams HNAT 7 !<latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit><latexit sha1_base64="1lqeMZGzvv9IkfmjMeF/zBgt8Pc=">AAAB8nicdVDJSgNBEO2JW4xb1KOXxiB4CjMSMN4CXvQWwSwwGUJPpydp0svQXSOEIZ/hxYMiXv0ab/6NnUVwfVDweK+KqnpxKrgF33/3Ciura+sbxc3S1vbO7l55/6BtdWYoa1EttOnGxDLBFWsBB8G6qWFExoJ14vHlzO/cMWO5VrcwSVkkyVDxhFMCTgp7QquhJKkF3S9X/OpF3aGGf5Og6s9RQUs0++W33kDTTDIFVBBrw8BPIcqJAU4Fm5Z6mWUpoWMyZKGjikhmo3x+8hSfOGWAE21cKcBz9etETqS1Exm7TklgZH96M/EvL8wgqUc5V2kGTNHFoiQTGDSe/Y8H3DAKYuIIoYa7WzEdEUMouJRKLoTPT/H/pH1WDfxqcFOrNK6XcRTRETpGpyhA56iBrlATtRBFGt2jR/TkgffgPXsvi9aCt5w5RN/gvX4AgNuSFg==</latexit> shuffle bigram matrixMASC encryption <latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 76.
    Bigram matrix ML<latexitsha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 77.
    1. We representa text by its matrix of bigrams Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 78.
    1. We representa text by its matrix of bigrams 2. Two texts from same language have similar representations Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 79.
    1. We representa text by its matrix of bigrams 2. Two texts from same language have similar representations Training and (unknown) plain text have similar bigram matrices '<latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit> plain text training text Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit>
  • 80.
    3. MASC-ing text= letter substitution = row + col permuting 1. We represent a text by its matrix of bigrams 2. Two texts from same language have similar representations Training and (unknown) plain text have similar bigram matrices Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit> '<latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit> plain text training text
  • 81.
    3. MASC-ing text= letter substitution = row + col permuting 1. We represent a text by its matrix of bigrams 2. Two texts from same language have similar representations Training and (unknown) plain text have similar bigram matrices P<latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit 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sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit> Bigram matrix ML<latexit 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sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit> plain text training text cipher text training text 7 !<latexit sha1_base64="yI/RE0SoD7b8/V34bgJGjjxLzPw=">AAAB83icdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCmSH0dHqSJr3R3SOEkN/w4kERr/6MN//GniSC64OCx3tVVNVLFKPGBsG7V1hZXVvfKG6WtrZ3dvfK+wdtIzONSQtLJnU3QYYwKkjLUstIV2mCeMJIJxlf5n7njmhDpbi1E0VijoaCphQj66QoYlIMOVLGylK/XAn8er16Vq/B3yT0gzkqYIlmv/wWDSTOOBEWM2RMLwyUjadIW4oZmZWizBCF8BgNSc9RgTgx8XR+8wyeOGUAU6ldCQvn6teJKeLGTHjiOjmyI/PTy8W/vF5m04t4SoXKLBF4sSjNGLQS5gHAAdUEWzZxBGFN3a0Qj5BG2LqY8hA+P4X/k3bVDwM/vDmvNK6XcRTBETgGpyAENdAAV6AJWgADBe7BI3jyMu/Be/ZeFq0FbzlzCL7Be/0AoPeSHQ==</latexit><latexit 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sha1_base64="yI/RE0SoD7b8/V34bgJGjjxLzPw=">AAAB83icdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCmSH0dHqSJr3R3SOEkN/w4kERr/6MN//GniSC64OCx3tVVNVLFKPGBsG7V1hZXVvfKG6WtrZ3dvfK+wdtIzONSQtLJnU3QYYwKkjLUstIV2mCeMJIJxlf5n7njmhDpbi1E0VijoaCphQj66QoYlIMOVLGylK/XAn8er16Vq/B3yT0gzkqYIlmv/wWDSTOOBEWM2RMLwyUjadIW4oZmZWizBCF8BgNSc9RgTgx8XR+8wyeOGUAU6ldCQvn6teJKeLGTHjiOjmyI/PTy8W/vF5m04t4SoXKLBF4sSjNGLQS5gHAAdUEWzZxBGFN3a0Qj5BG2LqY8hA+P4X/k3bVDwM/vDmvNK6XcRTBETgGpyAENdAAV6AJWgADBe7BI3jyMu/Be/ZeFq0FbzlzCL7Be/0AoPeSHQ==</latexit> P<latexit 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  • 82.
    3. MASC-ing text= letter substitution = row + col permuting 1. We represent a text by its matrix of bigrams 2. Two texts from same language have similar representations Training and (unknown) plain text have similar bigram matrices Decrypting = applying correct row + col permutation cipher text training text 7 !<latexit sha1_base64="yI/RE0SoD7b8/V34bgJGjjxLzPw=">AAAB83icdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCmSH0dHqSJr3R3SOEkN/w4kERr/6MN//GniSC64OCx3tVVNVLFKPGBsG7V1hZXVvfKG6WtrZ3dvfK+wdtIzONSQtLJnU3QYYwKkjLUstIV2mCeMJIJxlf5n7njmhDpbi1E0VijoaCphQj66QoYlIMOVLGylK/XAn8er16Vq/B3yT0gzkqYIlmv/wWDSTOOBEWM2RMLwyUjadIW4oZmZWizBCF8BgNSc9RgTgx8XR+8wyeOGUAU6ldCQvn6teJKeLGTHjiOjmyI/PTy8W/vF5m04t4SoXKLBF4sSjNGLQS5gHAAdUEWzZxBGFN3a0Qj5BG2LqY8hA+P4X/k3bVDwM/vDmvNK6XcRTBETgGpyAENdAAV6AJWgADBe7BI3jyMu/Be/ZeFq0FbzlzCL7Be/0AoPeSHQ==</latexit><latexit 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sha1_base64="yI/RE0SoD7b8/V34bgJGjjxLzPw=">AAAB83icdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCmSH0dHqSJr3R3SOEkN/w4kERr/6MN//GniSC64OCx3tVVNVLFKPGBsG7V1hZXVvfKG6WtrZ3dvfK+wdtIzONSQtLJnU3QYYwKkjLUstIV2mCeMJIJxlf5n7njmhDpbi1E0VijoaCphQj66QoYlIMOVLGylK/XAn8er16Vq/B3yT0gzkqYIlmv/wWDSTOOBEWM2RMLwyUjadIW4oZmZWizBCF8BgNSc9RgTgx8XR+8wyeOGUAU6ldCQvn6teJKeLGTHjiOjmyI/PTy8W/vF5m04t4SoXKLBF4sSjNGLQS5gHAAdUEWzZxBGFN3a0Qj5BG2LqY8hA+P4X/k3bVDwM/vDmvNK6XcRTBETgGpyAENdAAV6AJWgADBe7BI3jyMu/Be/ZeFq0FbzlzCL7Be/0AoPeSHQ==</latexit> P<latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit><latexit 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sha1_base64="L684sJ7lQFOB3Ji42W7xVAV9L8I=">AAAB6XicdVDLSgNBEOz1GeMr6tHLYBA8LbtRiLkF9OAxinlAsoTZyWwyZHZmmZkVwpI/8OJBEa/+kTf/xtkkgs+ChqKqm+6uMOFMG897d5aWV1bX1gsbxc2t7Z3d0t5+S8tUEdokkkvVCbGmnAnaNMxw2kkUxXHIaTscX+R++44qzaS4NZOEBjEeChYxgo2VbhrFfqnsubVa5bRWRb+J73ozlGGBRr/01htIksZUGMKx1l3fS0yQYWUY4XRa7KWaJpiM8ZB2LRU4pjrIZpdO0bFVBiiSypYwaKZ+nchwrPUkDm1njM1I//Ry8S+vm5roPMiYSFJDBZkvilKOjET522jAFCWGTyzBRDF7KyIjrDAxNpw8hM9P0f+kVXF9z/Wvz8r1y0UcBTiEIzgBH6pQhytoQBMIRHAPj/DkjJ0H59l5mbcuOYuZA/gG5/UDiACNXw==</latexit> P<latexit 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sha1_base64="THYFqaxeOR98zB29E2BKreqvjiw=">AAAB6XicdVDLSsNAFL3xWeOr6tLNYBFchaS2tm6k4MZlFfuANshkOmmHTiZhZiKU0D9w40IRt/6RO//GSVtBRQ8MHM45l7n3BAlnSrvuh7W0vLK6tl7YsDe3tnd2i3v7bRWnktAWiXksuwFWlDNBW5ppTruJpDgKOO0E48vc79xTqVgsbvUkoX6Eh4KFjGBtpBu7eVcsuU6lfFotnyPXqVdqbjUnZc+rnVWR57gzlGABk3/vD2KSRlRowrFSPc9NtJ9hqRnhdGr3U0UTTMZ4SHuGChxR5WezTafo2CgDFMbSPKHRTP0+keFIqUkUmGSE9Uj99nLxL6+X6rDuZ0wkqaaCzD8KU450jPKz0YBJSjSfGIKJZGZXREZYYqJNObYp4etS9D9plx3PdbzrSqlxsaijAIdwBCfgQQ0acAVNaAGBEB7gCZ6tsfVovViv8+iStZg5gB+w3j4BUE2NNA==</latexit><latexit sha1_base64="THYFqaxeOR98zB29E2BKreqvjiw=">AAAB6XicdVDLSsNAFL3xWeOr6tLNYBFchaS2tm6k4MZlFfuANshkOmmHTiZhZiKU0D9w40IRt/6RO//GSVtBRQ8MHM45l7n3BAlnSrvuh7W0vLK6tl7YsDe3tnd2i3v7bRWnktAWiXksuwFWlDNBW5ppTruJpDgKOO0E48vc79xTqVgsbvUkoX6Eh4KFjGBtpBu7eVcsuU6lfFotnyPXqVdqbjUnZc+rnVWR57gzlGABk3/vD2KSRlRowrFSPc9NtJ9hqRnhdGr3U0UTTMZ4SHuGChxR5WezTafo2CgDFMbSPKHRTP0+keFIqUkUmGSE9Uj99nLxL6+X6rDuZ0wkqaaCzD8KU450jPKz0YBJSjSfGIKJZGZXREZYYqJNObYp4etS9D9plx3PdbzrSqlxsaijAIdwBCfgQQ0acAVNaAGBEB7gCZ6tsfVovViv8+iStZg5gB+w3j4BUE2NNA==</latexit><latexit sha1_base64="THYFqaxeOR98zB29E2BKreqvjiw=">AAAB6XicdVDLSsNAFL3xWeOr6tLNYBFchaS2tm6k4MZlFfuANshkOmmHTiZhZiKU0D9w40IRt/6RO//GSVtBRQ8MHM45l7n3BAlnSrvuh7W0vLK6tl7YsDe3tnd2i3v7bRWnktAWiXksuwFWlDNBW5ppTruJpDgKOO0E48vc79xTqVgsbvUkoX6Eh4KFjGBtpBu7eVcsuU6lfFotnyPXqVdqbjUnZc+rnVWR57gzlGABk3/vD2KSRlRowrFSPc9NtJ9hqRnhdGr3U0UTTMZ4SHuGChxR5WezTafo2CgDFMbSPKHRTP0+keFIqUkUmGSE9Uj99nLxL6+X6rDuZ0wkqaaCzD8KU450jPKz0YBJSjSfGIKJZGZXREZYYqJNObYp4etS9D9plx3PdbzrSqlxsaijAIdwBCfgQQ0acAVNaAGBEB7gCZ6tsfVovViv8+iStZg5gB+w3j4BUE2NNA==</latexit> Bigram matrix ML<latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit><latexit sha1_base64="U/8QFkPaBA+DnFDPb8/CLZdegSA=">AAAB+XicdVDLSsNAFJ3UV62vqEs3g0VwFRL7SJYFN66kgn1AG8pkOmmHTiZxZlIpoX/ixoUibv0Td/6Nk7aCih64cDjnXu69J0gYlcq2P4zC2vrG5lZxu7Szu7d/YB4etWWcCkxaOGax6AZIEkY5aSmqGOkmgqAoYKQTTC5zvzMlQtKY36pZQvwIjTgNKUZKSwPT7As6Git5l9IREiK+H5hl2/Jcr1pxoG3V3HrVzYlTq3v1CnQse4EyWKE5MN/7wxinEeEKMyRlz7ET5WdIKIoZmZf6qSQJwhM0Ij1NOYqI9LPF5XN4ppUhDGOhiyu4UL9PZCiSchYFujNCaix/e7n4l9dLVej5GeVJqgjHy0VhyqCKYR4DHFJBsGIzTRAWVN8K8RgJhJUOq6RD+PoU/k/aF5ajk7mplhvXqziK4AScgnPgABc0wBVoghbAYAoewBN4NjLj0XgxXpetBWM1cwx+wHj7BNuXlH8=</latexit> '<latexit 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sha1_base64="f6ea2k/Wjsro0aSH6zznq89Doss=">AAAB7XicdVDJSgNBEO2JW4xb1KOXxiB4GmaiEHMLePEkEcwCyRB6OjVJm+7psbtHCEP+wYsHRbz6P978GzuL4Pqg4PFeFVX1woQzbTzv3cktLa+sruXXCxubW9s7xd29ppapotCgkkvVDokGzmJoGGY4tBMFRIQcWuHofOq37kBpJuNrM04gEGQQs4hRYqzU7Gom4LZXLHlutVo+qVbwb+K73gwltEC9V3zr9iVNBcSGcqJ1x/cSE2REGUY5TArdVENC6IgMoGNpTAToIJtdO8FHVunjSCpbscEz9etERoTWYxHaTkHMUP/0puJfXic10VmQsThJDcR0vihKOTYST1/HfaaAGj62hFDF7K2YDoki1NiACjaEz0/x/6RZdn3P9a9OS7XLRRx5dIAO0THyUQXV0AWqowai6Abdo0f05EjnwXl2XuatOWcxs4++wXn9AF6oj7I=</latexit><latexit 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  • 83.
    Three facts aboutpermutations
  • 84.
    1. Every permutationis a product of cycles. Three facts about permutations
  • 85.
    a b d ab d e f fe 1. Every permutation is a product of cycles. Three facts about permutations c c
  • 86.
    1. Every permutationis a product of cycles. Three facts about permutations a b dc a b dc e f fe
  • 87.
    (ad)(becf)= 1. Every permutationis a product of cycles. Three facts about permutations (ad)(becf)= a b dc a b dc e f fe
  • 88.
    (ad)(becf)= 1. Every permutationis a product of cycles. 2. Every cycle is product of transpositions (swaps). Three facts about permutations (ad)(becf)= a b dc a b dc e f fe
  • 89.
    (ad)(becf)= 1. Every permutationis a product of cycles. 2. Every cycle is product of transpositions (swaps). Three facts about permutations 3. So: Every permutation is a product of transpositions. (ad)(becf)= a b dc a b dc e f fe
  • 90.
    (ad)(becf)= (1234) = (34)(24)(14) 1.Every permutation is a product of cycles. 2. Every cycle is product of transpositions (swaps). Three facts about permutations Example: 3. So: Every permutation is a product of transpositions. (ad)(becf)= a b dc a b dc e f fe
  • 91.
    (1234) = (34)(24)(14) (1234) [1,2, 3, 4] [2, 3, 4, 1] 1. Every permutation is a product of cycles. 2. Every cycle is product of transpositions (swaps). Three facts about permutations Example: 3. So: Every permutation is a product of transpositions. (ad)(becf)= a b dc a b dc e f fe
  • 92.
    (1234) = (34)(24)(14) (1234) [1,2, 3, 4] [2, 3, 4, 1] [4, 2, 3, 1] (14) 1. Every permutation is a product of cycles. 2. Every cycle is product of transpositions (swaps). Three facts about permutations Example: 3. So: Every permutation is a product of transpositions. (ad)(becf)= a b dc a b dc e f fe
  • 93.
    (1234) = (34)(24)(14) (1234) [1,2, 3, 4] [2, 3, 4, 1] [4, 2, 3, 1] (14) [2, 4, 3, 1] (24) 1. Every permutation is a product of cycles. 2. Every cycle is product of transpositions (swaps). Three facts about permutations Example: 3. So: Every permutation is a product of transpositions. (ad)(becf)= a b dc a b dc e f fe
  • 94.
    (1234) = (34)(24)(14) (1234) [1,2, 3, 4] [2, 3, 4, 1] [4, 2, 3, 1] (14) [2, 4, 3, 1] (24) (34) 1. Every permutation is a product of cycles. 2. Every cycle is product of transpositions (swaps). Three facts about permutations Example: 3. So: Every permutation is a product of transpositions. (ad)(becf)= a b dc a b dc e f fe
  • 95.
    (1234) = (34)(24)(14) (1234) [1,2, 3, 4] [2, 3, 4, 1] [4, 2, 3, 1] (14) [2, 4, 3, 1] (24) (34) 1. Every permutation is a product of cycles. 2. Every cycle is product of transpositions (swaps). Three facts about permutations Example: 3. So: Every permutation is a product of transpositions. (ad)(becf)= a b dc a b dc e f fe In general: (a b … z) = (y z)(x z) … (b z)(a z)
  • 96.
    Why do wecare? Starting with identity, we can do sensible, incremental update over all permutations by applying transpositions. This is the “for” loop in our ML algorithm.
  • 97.
  • 98.
    Given space-preserved, MASC-encryptedcipher text of known source language with alphabet , and training sample of text from , find the permutation of that is the decryption key. 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sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit><latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit><latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit> A<latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit> Task
  • 99.
    5. Algorithm Symbols = ciphertextC<latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit 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sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit> = training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit 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sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data
  • 100.
    5. Algorithm = currentdecryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit> = current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit> notationSymbols = cipher textC<latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit 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sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit> = training textT<latexit 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sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data
  • 101.
    5. Algorithm '() = Y (a,b)2A⇥A (FT) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">AAACPnicdVDLahRBFL0dX3F8TeLSzcUg9IA03VmYyUJIiIgbJUImCUyPze2amkwx1dVFVXVgKPpf/A83foM7l25cKOJKcGnNTASfBwoO59xD3XtKLYV1afo+Wrt0+crVa+vXOzdu3rp9p7uxeWzrxjA+YLWszWlJlkuh+MAJJ/mpNpyqUvKTcnaw8E/OubGiVkdurvmoojMlJoKRC1LRHeTnZPRUxPmMtKYePsZcm3pc+JgeYtnDXCjcx9yJilvcbzF+Wvijtld4KttXPn5e+FUyPuhdqG3SKbpbabK70+/vPsK/SZakS2ztvVDfXgPAYdF9l49r1lRcOSbJ2mGWajfyZJxgkredvLFcE5vRGR8GqihsM/LL81t8EJQxTmoTnnK4VH9NeKqsnVdlmKzITe2f3kL8lzds3KQ/8kLpxnHFVh9NGomuxkWXOBaGMyfngRAzIuyKbEqGmAuNL0r4eSn+nxxvJ1maZC9DG09ghXW4B/chhgx2YA+ewSEMgMEb+ACf4HP0NvoYfYm+rkbXoovMXfgN0fcfWZmvxw==</latexit><latexit 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sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit> Objective ()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit> = current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit 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sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit> notationSymbols = cipher textC<latexit 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sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit 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sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit> = alphabetA<latexit 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sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data
  • 102.
    5. Algorithm 1. Empiricalprobability of bigram “ab”. '() = Y (a,b)2A⇥A (FT ) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit> (1) ()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit> = current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit> notationSymbols = cipher textC<latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit> = training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit> = alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data Objective
  • 103.
    5. Algorithm 1. Empiricalprobability of bigram “ab”. 2. Number nab of occurrences of bigram “ab” in current deciphered text. '() = Y (a,b)2A⇥A (FT ) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit> (1) (2)()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit> = current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit> notationSymbols = cipher textC<latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit> = training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit> = alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data Objective
  • 104.
    5. Algorithm 1. Empiricalprobability of bigram “ab”. 2. Number nab of occurrences of bigram “ab” in current deciphered text. '() = Y (a,b)2A⇥A (FT ) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit> (1) (2) “at” ()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit 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sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data Objective
  • 105.
    5. Algorithm 1. Empiricalprobability of bigram “ab”. 2. Number nab of occurrences of bigram “ab” in current deciphered text. '() = Y (a,b)2A⇥A (FT ) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">AAACPnicdVDLShxBFK3WPHTyGs3SzSUS6IHQdGcRx4WgKOImwYCjwvSkuV1T4xRTXV1UVQtD0R+T78jGb8jOZTZBIpKV4DI1MwrmdaDgcM491L0nV4IbG8fnwdz8g4ePHi8sNp48ffb8RXNp+dCUlaasQ0tR6uMcDRNcso7lVrBjpRkWuWBH+Wh74h+dMm14KQ/sWLFegSeSDzhF66Ws2UlPUashD9MRKoUt2IBU6bKfuRDfQN6ClEvYgtTyghnYqiHczdxB3coc5vUnF77P3CwZbrdu1TpqZM3VOFpfa7fX38HfJIniKVY3P8jrz4G42M+aX9N+SauCSUsFGtNNYmV7DrXlVLC6kVaGKaQjPGFdTyX6bXpuen4Nr73Sh0Gp/ZMWpur9hMPCmHGR+8kC7dD86U3Ef3ndyg7aPcelqiyTdPbRoBJgS5h0CX2uGbVi7AlSzf2uQIeokVrf+KSEu0vh/+TwbZTEUfLRt7FDZlggK+QVCUlC1sgm2SP7pEMo+UK+kR/kMjgLvgdXwc/Z6Fxwm3lJfkNw8wshtrEd</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit> (1) (2) “at” “at” “at” ()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit 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sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data Objective
  • 106.
    5. Algorithm 1. Empiricalprobability of bigram “ab”. 2. Number nab of occurrences of bigram “ab” in current deciphered text. '() = Y (a,b)2A⇥A (FT ) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">AAACPnicdVDLShxBFK3WPHTyGs3SzSUS6IHQdGcRx4WgKOImwYCjwvSkuV1T4xRTXV1UVQtD0R+T78jGb8jOZTZBIpKV4DI1MwrmdaDgcM491L0nV4IbG8fnwdz8g4ePHi8sNp48ffb8RXNp+dCUlaasQ0tR6uMcDRNcso7lVrBjpRkWuWBH+Wh74h+dMm14KQ/sWLFegSeSDzhF66Ws2UlPUashD9MRKoUt2IBU6bKfuRDfQN6ClEvYgtTyghnYqiHczdxB3coc5vUnF77P3CwZbrdu1TpqZM3VOFpfa7fX38HfJIniKVY3P8jrz4G42M+aX9N+SauCSUsFGtNNYmV7DrXlVLC6kVaGKaQjPGFdTyX6bXpuen4Nr73Sh0Gp/ZMWpur9hMPCmHGR+8kC7dD86U3Ef3ndyg7aPcelqiyTdPbRoBJgS5h0CX2uGbVi7AlSzf2uQIeokVrf+KSEu0vh/+TwbZTEUfLRt7FDZlggK+QVCUlC1sgm2SP7pEMo+UK+kR/kMjgLvgdXwc/Z6Fxwm3lJfkNw8wshtrEd</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit> (1) (2) 0.05 ⇥ 0.05 ⇥ 0.05<latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit> “at” “at” “at” ()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit> = current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit> notationSymbols = cipher textC<latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit> = training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit> = alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data Objective
  • 107.
    5. Algorithm 1. Empiricalprobability of bigram “ab”. 2. Number nab of occurrences of bigram “ab” in current deciphered text. '() = Y (a,b)2A⇥A (FT ) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="MBEhNX7pH/q2SIWdMJfrIE1sJbg=">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</latexit><latexit sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit> (1) (2) 0.05 ⇥ 0.05 ⇥ 0.05<latexit sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit><latexit 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sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit> =<latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit> ()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit 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sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit 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sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit> = current deciphered text(C)<latexit 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sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit 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sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data Objective
  • 108.
    5. Algorithm 1. Empiricalprobability of bigram “ab”. 2. Number nab of occurrences of bigram “ab” in current deciphered text. 3. Empirical probability of nab occurrences of bigram “ab” in deciphered text. '() = Y (a,b)2A⇥A (FT ) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit 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sha1_base64="TA74HKfolodIKS7jXZUuTnPffCw=">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</latexit> (1) (2) (3) 0.05 ⇥ 0.05 ⇥ 0.05<latexit 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sha1_base64="3c228YaUeYGPMCIhsRGt9g8PJhk=">AAACBXicdVDJSgNBEK1xjXEb9aiHxiB4GnqiYnKRgBePEcwCyRB6Oj1Jk56F7h4hDLl48Ve8eFDEq//gzb+xswga9UHB470qqur5ieBKY/xhLSwuLa+s5tby6xubW9v2zm5dxamkrEZjEcumTxQTPGI1zbVgzUQyEvqCNfzB5dhv3DKpeBzd6GHCvJD0Ih5wSrSROvYBdvAZamseMoXmeccuYKdcPimWyug3cR08QQFmqHbs93Y3pmnIIk0FUarl4kR7GZGaU8FG+XaqWELogPRYy9CImE1eNvlihI6M0kVBLE1FGk3U7xMZCZUahr7pDInuq3lvLP7ltVIdlLyMR0mqWUSni4JUIB2jcSSoyyWjWgwNIVRycyuifSIJ1Sa4vAnh61P0P6kXHRc77vVpoXIxiyMH+3AIx+DCOVTgCqpQAwp38ABP8GzdW4/Wi/U6bV2wZjN78APW2yds/JX8</latexit> “at” “at” “at” 0.053 <latexit 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sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit> ()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit> = current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit 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sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit> notationSymbols = cipher textC<latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit 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sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit> = training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit 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sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit> = alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit 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sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data Objective
  • 109.
    5. Algorithm 1. Empiricalprobability of bigram “ab”. 2. Number nab of occurrences of bigram “ab” in current deciphered text. 3. Empirical probability of nab occurrences of bigram “ab” in deciphered text. 4. Empirical probability that each bigram appears as many times as it does in deciphered text. (1) '() = Y (a,b)2A⇥A (FT ) (M(C))ab ab . <latexit sha1_base64="jc2jLfeKW9mbb1IciS7fkcp+QDU=">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</latexit><latexit 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sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="aYw+Q9Yeam9COdHztlGDkOHk/LU=">AAAB4nicbZBLSwMxFIXv1FetVatbN8EiuCozutCl4MZlBfuAdiyZNNPGZpIhuSOUYf6DGxeK+KPc+W9MHwttPRD4OCch954olcKi7397pY3Nre2d8m5lr7p/cFg7qratzgzjLaalNt2IWi6F4i0UKHk3NZwmkeSdaHI7yzvP3Fih1QNOUx4mdKRELBhFZ7Xz4jG/LAa1ut/w5yLrECyhDks1B7Wv/lCzLOEKmaTW9gI/xTCnBgWTvKj0M8tTyiZ0xHsOFU24DfP5tAU5c86QxNq4o5DM3d8vcppYO00idzOhOLar2cz8L+tlGF+HuVBphlyxxUdxJglqMludDIXhDOXUAWVGuFkJG1NDGbqCKq6EYHXldWhfNAK/Edz7UIYTOIVzCOAKbuAOmtACBk/wAm/w7mnv1ftY1FXylr0dwx95nz+O9o3f</latexit><latexit sha1_base64="Upj2xg8fzsIs00C56NvpoJKp9IE=">AAAB4nicdZBLSwMxFIXv1FetVatbN8EiuBoytQ+7E9y4rGBroR1LJs20sZkHSUYow/wHNy4U8Ue589+YaSuo6IHA4ZyE3Pt5seBKY/xhFdbWNza3itulnfLu3n7loNxTUSIp69JIRLLvEcUED1lXcy1YP5aMBJ5gt97sMu9vH5hUPApv9DxmbkAmIfc5JdpEvTS7S8+yUaWKbafWqLcxwnaz3sKNNsoTp9FsI8fGC1Vhpc6o8j4cRzQJWKipIEoNHBxrNyVScypYVhomisWEzsiEDYwNScCUmy6mzdCJScbIj6Q5oUaL9PuLlARKzQPP3AyInqrfXR7+1Q0S7Z+7KQ/jRLOQLj/yE4F0hPLV0ZhLRrWYG0Oo5GZWRKdEEqoNoJKB8LUp+t/0arZjyFxjKMIRHMMpONCCC7iCDnSBwj08wjO8WJH1ZL0ucRWsFbdD+CHr7RP5bI4r</latexit><latexit sha1_base64="+nrMDYO6is/pv8b9811TjvRARjI=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GjK1D7uRghuXFewD2rFk0kwbm5kMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hi/iTGmEPqzcyura+kZ+s7C1vbO7V9w/6CgRS0LbRHAhex5WlLOQtjXTnPYiSXHgcdr1ppeZ372nUjER3uhZRN0Aj0PmM4K1kTpJepucpcNiCdlOuVppIIjsWqWOqg2YKU611oCOjeYogSVaw+L7YCRIHNBQE46V6jso0m6CpWaE07QwiBWNMJniMe0bGuKAKjeZX5vCE6OMoC+kqVDDufp9IsGBUrPAM50B1hP128vEv7x+rP1zN2FhFGsaksUiP+ZQC5i9DkdMUqL5zBBMJDO3QjLBEhNtAiqYEL4+hf+TTtl2TDLXqNS8WMaRB0fgGJwCB9RBE1yBFmgDAu7AA3gCz5awHq0X63XRmrOWM4fgB6y3TyaUj3s=</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit><latexit sha1_base64="VOV1EJRaHzKM3qdiEx6RtEeRUGE=">AAAB7XicdVDLSgMxFM3UV62vqks3wSK4GmZqH3YjBTcuK9gHtGPJpJk2NpMMSUYow/yDGxeKuPV/3Pk3ZtoKKnrgwuGce7n3Hj9iVGnH+bByK6tr6xv5zcLW9s7uXnH/oKNELDFpY8GE7PlIEUY5aWuqGelFkqDQZ6TrTy8zv3tPpKKC3+hZRLwQjTkNKEbaSJ0kvU3O0mGx5NhuuVppONCxa5W6U23ATHGrtQZ0bWeOEliiNSy+D0YCxyHhGjOkVN91Iu0lSGqKGUkLg1iRCOEpGpO+oRyFRHnJ/NoUnhhlBAMhTXEN5+r3iQSFSs1C33SGSE/Uby8T//L6sQ7OvYTyKNaE48WiIGZQC5i9DkdUEqzZzBCEJTW3QjxBEmFtAiqYEL4+hf+TTtl2TTLXlVLzYhlHHhyBY3AKXFAHTXAFWqANMLgDD+AJPFvCerRerNdFa85azhyCH7DePgEn1I9/</latexit> =<latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit><latexit sha1_base64="qV5fGBJ7F/DfJLIRoVXKdnvva+c=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0wUTA5KwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3a2l5ZXVtPbeR39za3tkt7O03VZxKhg0Wi1i2fapQ8AgbmmuB7UQiDX2BLX90NfVbdygVj6MbPU7QC+kg4gFnVBupftErFB27UjktlSvkN3FtZ4YiLFDrFd66/ZilIUaaCapUx3US7WVUas4ETvLdVGFC2YgOsGNoRENUXjY7dEKOjdInQSxNRZrM1K8TGQ2VGoe+6QypHqqf3lT8y+ukOih7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTd6E8Pkp+Z80S7br2G79rFi9XMSRg0M4ghNw4RyqcA01aAADhHt4hCfr1nqwnq2XeeuStZg5gG+wXj8AOVqNNQ==</latexit> ()<latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit><latexit sha1_base64="gi61hSnZvmiKktc2v3+GD2e5LOU=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRExLa7gi5cVrAPaEK5mUzaoZMHMxOhhn6JGxeKuPVT3Pk3Th+CzwMDh3PO5d45fsqZVLb9bhRWVtfWN4qbpa3tnd2yubffkUkmCG2ThCei54OknMW0rZjitJcKCpHPadcfX8z87i0VkiXxjZqk1ItgGLOQEVBaGphll+twAFV3DGkKJwOzYluNeu281sC/iWPZc1TQEq2B+eYGCckiGivCQcq+Y6fKy0EoRjidltxM0hTIGIa0r2kMEZVePj98io+1EuAwEfrFCs/VrxM5RFJOIl8nI1Aj+dObiX95/UyFdS9ncZopGpPFojDjWCV41gIOmKBE8YkmQATTt2IyAgFE6a5KuoTPn+L/SefUcmzLuT6rNC+XdRTRITpCVeSgGmqiK9RCbURQhu7RI3oy7owH49l4WUQLxnLmAH2D8foB5iGTRA==</latexit> = current decryption key<latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit><latexit sha1_base64="tvnfLZjfjNcpLzlIsxyj3hIbZLU=">AAAB7XicdVDLSgMxFM34rPVVdekmWARXw4xYbDdScOOygn1AO5Q7adrGZpKQZIQy9B/cuFDErf/jzr8xfQg+D1w4nHMv994TK86MDYJ3b2l5ZXVtPbeR39za3tkt7O03jEw1oXUiudStGAzlTNC6ZZbTltIUkpjTZjy6nPrNO6oNk+LGjhWNEhgI1mcErJManREoBd1CMfArlbBUKuPfJPSDGYpogVq38NbpSZImVFjCwZh2GCgbZaAtI5xO8p3UUAVkBAPadlRAQk2Uza6d4GOn9HBfalfC4pn6dSKDxJhxErvOBOzQ/PSm4l9eO7X9cpQxoVJLBZkv6qccW4mnr+Me05RYPnYEiGbuVkyGoIFYF1DehfD5Kf6fNE79MPDD67Ni9WIRRw4doiN0gkJ0jqroCtVQHRF0i+7RI3rypPfgPXsv89YlbzFzgL7Be/0ANcCPig==</latexit> = raw bigram countsM(C)<latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit><latexit sha1_base64="SE1vl6V4Fo49aE749YW/6peo2t0=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxIkQwCyRDqOn0JE16ZtrunkAY8h1ePCji1Y/x5t/YWQTXBwWP96qoqucLzpR2nHcrs7K6tr6R3cxtbe/s7uX3D5oqTiShDRLzWLZ9UJSziDY005y2haQQ+py2/FFt5rfGVCoWR7d6IqgXwiBiASOgjeRd99LuCISAYu102ssXHLtScUulMv5NXNuZo4CWqPfyb91+TJKQRppwUKrjOkJ7KUjNCKfTXDdRVAAZwYB2DI0gpMpL50dP8YlR+jiIpalI47n6dSKFUKlJ6JvOEPRQ/fRm4l9eJ9FB2UtZJBJNI7JYFCQc6xjPEsB9JinRfGIIEMnMrZgMQQLRJqecCeHzU/w/aZ7ZrmO7N+eF6uUyjiw6QseoiFx0garoCtVRAxF0h+7RI3qyxtaD9Wy9LFoz1nLmEH2D9foBrNKSCA==</latexit> , = bigram frequenciesF(C)<latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit><latexit sha1_base64="cFZjOM3FdXOP5MzPsLcDqwTi00w=">AAAB9HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBALiMYJZIBlCTacnadIz03b3BMKQ7/DiQRGvfow3/8bOIrg+KHi8V0VVPV9wprTjvFuZldW19Y3sZm5re2d3L79/0FRxIgltkJjHsu2DopxFtKGZ5rQtJIXQ57Tlj2ozvzWmUrE4utUTQb0QBhELGAFtJO+ql3ZHIAQUa6fTXr7g2JWKWyqV8W/i2s4cBbREvZd/6/ZjkoQ00oSDUh3XEdpLQWpGOJ3muomiAsgIBrRjaAQhVV46P3qKT4zSx0EsTUUaz9WvEymESk1C33SGoIfqpzcT//I6iQ7KXsoikWgakcWiIOFYx3iWAO4zSYnmE0OASGZuxWQIEog2OeVMCJ+f4v9J88x2Hdu9OS9UL5dxZNEROkZF5KILVEXXqI4aiKA7dI8e0ZM1th6sZ+tl0ZqxljOH6Bus1w+h4pIB</latexit> FT<latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit><latexit sha1_base64="1h7KsuWHMT6ma7MnaotWpJiU1b8=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRisd1IQRCXFZq20IYymU7aoZNJmJkIIfQb3LhQxK0f5M6/cfoQfB64cDjnXu69J0g4U9px3q3Cyura+kZxs7S1vbO7V94/aKs4lYR6JOax7AZYUc4E9TTTnHYTSXEUcNoJJlczv3NHpWKxaOksoX6ER4KFjGBtJO96kLemg3LFset1t1qtod/EtZ05KrBEc1B+6w9jkkZUaMKxUj3XSbSfY6kZ4XRa6qeKJphM8Ij2DBU4osrP58dO0YlRhiiMpSmh0Vz9OpHjSKksCkxnhPVY/fRm4l9eL9Vhzc+ZSFJNBVksClOOdIxmn6Mhk5RonhmCiWTmVkTGWGKiTT4lE8Lnp+h/0j6zXcd2b88rjctlHEU4gmM4BRcuoAE30AQPCDC4h0d4soT1YD1bL4vWgrWcOYRvsF4/AFh5jwg=</latexit> = current deciphered text(C)<latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit><latexit sha1_base64="Gswfmymdvaz2ZQkUeZ/tRzCfz+4=">AAAB8HicdVDJSgNBEO2JW4xb1KOXxiDEyzAjBpOLBHLxGMEskgyhptNJmnT3DN09QhjyFV48KOLVz/Hm39hZBNcHBY/3qqiqF8acaeN5705mZXVtfSO7mdva3tndy+8fNHWUKEIbJOKRaoegKWeSNgwznLZjRUGEnLbCcW3mt+6o0iySN2YS00DAULIBI2CsdNsdQxxDsXbayxc8t1LxS6Uy/k1815ujgJao9/Jv3X5EEkGlIRy07vhebIIUlGGE02mum2gaAxnDkHYslSCoDtL5wVN8YpU+HkTKljR4rn6dSEFoPRGh7RRgRvqnNxP/8jqJGZSDlMk4MVSSxaJBwrGJ8Ox73GeKEsMnlgBRzN6KyQgUEGMzytkQPj/F/5Pmmet7rn99XqheLuPIoiN0jIrIRxeoiq5QHTUQQQLdo0f05CjnwXl2XhatGWc5c4i+wXn9AIy9kDw=</latexit> notationSymbols = cipher textC<latexit 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sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit><latexit sha1_base64="FcwLtA9+S0XXwV4qdADTmIVk5qE=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4SyMVjAmaBZAg9nZqkTc9Cd48QhnyBFw+KePWTvPk3dhbB9UHB470qqur5ieBKO867tbK6tr6xmdvKb+/s7u0XDg5bKk4lwyaLRSw7PlUoeIRNzbXATiKRhr7Atj+uzfz2HUrF4+hGTxL0QjqMeMAZ1UZq1PqFomNXKm6pVCa/iWs7cxRhiXq/8NYbxCwNMdJMUKW6rpNoL6NScyZwmu+lChPKxnSIXUMjGqLysvmhU3JqlAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQdnLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJts8iaEz0/J/6R1bruO7TYuitWrZRw5OIYTOAMXLqEK11CHJjBAuIdHeLJurQfr2XpZtK5Yy5kj+Abr9QM1eY0y</latexit> = training textT<latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit><latexit sha1_base64="t7H5ntKAsSKSKQVr93gY5NcMG9w=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8OIxgWyQDKGnU5O06Vno7hHCkC/w4kERr36SN//GziK4Pih4vFdFVT0/EVxpx3m3VlbX1jc2c1v57Z3dvf3CwWFLxalk2GSxiGXHpwoFj7CpuRbYSSTS0BfY9sfXM799h1LxOGroSYJeSIcRDzij2kj1Rr9QdOxKxS2VyuQ3cW1njiIsUesX3nqDmKUhRpoJqlTXdRLtZVRqzgRO871UYULZmA6xa2hEQ1ReNj90Sk6NMiBBLE1FmszVrxMZDZWahL7pDKkeqZ/eTPzL66Y6KHsZj5JUY8QWi4JUEB2T2ddkwCUyLSaGUCa5uZWwEZWUaZNN3oTw+Sn5n7TObdex3fpFsXq1jCMHx3ACZ+DCJVThBmrQBAYI9/AIT9at9WA9Wy+L1hVrOXME32C9fgBPPY1D</latexit> = alphabetA<latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit><latexit sha1_base64="L/CNa+OqY3hF8IQpG2s9rnEIEoA=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw4wYTC4S8eIxAbNAMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdWlpeWV1bz23kN7e2d3YLe/tNFaeSYYPFIpZtnyoUPMKG5lpgO5FIQ19gyx9dTf3WHUrF4+hGjxP0QjqIeMAZ1UaqX/YKRceuVNxSqUx+E9d2ZijCArVe4a3bj1kaYqSZoEp1XCfRXkal5kzgJN9NFSaUjegAO4ZGNETlZbNDJ+TYKH0SxNJUpMlM/TqR0VCpceibzpDqofrpTcW/vE6qg7KX8ShJNUZsvihIBdExmX5N+lwi02JsCGWSm1sJG1JJmTbZ5E0In5+S/0nz1HYd262fFasXizhycAhHcAIunEMVrqEGDWCAcA+P8GTdWg/Ws/Uyb12yFjMH8A3W6wcycY0w</latexit> input data Objective
  • 110.
  • 111.
    = permutation matrixP⌧<latexitsha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit> prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit> = provisional decryption key Notation = number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> Algorithm = a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
  • 112.
    = permutation matrixP⌧<latexitsha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit> prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit> = provisional decryption key = number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit 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sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit> Notation Algorithm = a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
  • 113.
    1. Set andcompute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit> FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit> F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit> = permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit> prov<latexit 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sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit> = provisional decryption key = number of repetitionsR<latexit 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sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> 0 B B @ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 C C A 7 ! 0 B B @ 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 C C A = P(23) <latexit 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sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit> (23)<latexit 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sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit> Notation Algorithm = a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
  • 114.
    1. Set andcompute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit> FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit> F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit> = permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit 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sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit> (23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit> Notation Algorithm = a transposition⌧ 2 Trans(A)<latexit 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sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit> 2. Choose at random, set .prov := ⌧<latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit> ⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
  • 115.
    1. Set andcompute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit> FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit> F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit> = permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit> prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit> = provisional decryption key = number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit> 0 B B @ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 C C A 7 ! 0 B B @ 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 C C A = P(23) <latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit> (23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit> Notation Algorithm 3. Compute .Fprov(C) := Pt ⌧ F(C)P⌧<latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="uFdS7vBZjo3lQNg3YLapZFLC/60=">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</latexit><latexit sha1_base64="0zL0mtZkWCufBaNU5wjLLOXWsg4=">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</latexit><latexit sha1_base64="xsaEbgXtV4uXJmJWrT9DivkKXoo=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">AAACPnicdVBNSyMxGM7oqt26atXjXoJF6F7KjB+oC0pBWDxWsFpoa3knTTU0k4TkHdkyzC/z4m/w5tHLHnaRve7RtNZldfWFkIfng+R9YiOFwzC8C6amP8zMzhU+Fuc/LSwulZZXTp1OLeMNpqW2zRgcl0LxBgqUvGkshySW/CweHI70sytundDqBIeGdxK4UKIvGKCnuqXGt27WHoAx4G/k31Fpm4DMjNVXeV45/JLTr/u0PhIhzc9feDDP6d/42Prs65bKYXVvb2Nza5v+D6JqOJ4ymUy9W7pt9zRLE66QSXCuFYUGOxlYFEzyvNhOHTfABnDBWx4qSLjrZOP1c7rumR7ta+uPQjpm/01kkDg3TGLvTAAv3WttRL6ltVLs73YyoUyKXLGnh/qppKjpqEvaE5YzlEMPgFnh/0rZJVhg6Bsv+hKeN6Xvg9ONahRWo+Otcu1gUkeBfCZrpEIiskNq5IjUSYMwck3uyU/yK7gJfgQPwe8n61QwyaySFxP8eQTberFK</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit> = a transposition⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit> 2. Choose at random, set .prov := ⌧<latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit> ⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
  • 116.
    1. Set andcompute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit> FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit> F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit> = permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit> prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit> = provisional decryption key = number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> (prov)<latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit> ()<latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit> 4. Compute and . for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit> 0 B B @ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 C C A 7 ! 0 B B @ 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 C C A = P(23) <latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit> (23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit> Notation Algorithm 3. Compute .Fprov(C) := Pt ⌧ F(C)P⌧<latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit 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sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit> 2. Choose at random, set .prov := ⌧<latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit> ⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
  • 117.
    if :(prov) >()<latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit> F(C) := Fprov(C)<latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">AAACG3icdVBNS2MxFM3T0XHqV3WWswlTBN2U90RHHZhBKAwuK9haaEu5L01raF4SkvvE8nj/w41/ZTazUMTVgAv/jenHDH4eCDmccy7JPbGRwmEYPgQzsx/m5j8ufCosLi2vrBbX1utOp5bxGtNS20YMjkuheA0FSt4wlkMSS34aDyoj//ScWye0OsGh4e0E+kr0BAP0Uqe4/auTtQZgDGxWtnL6/Qf9L/gb+QUqbROQmbH6PM9HoU6xFJYP9r7t7h/Q1yQqh2OUyBTVTvFvq6tZmnCFTIJzzSg02M7AomCS54VW6rgBNoA+b3qqIOGunY13y+mGV7q0p60/CulYfTqRQeLcMIl9MgE8cy+9kfiW10yxt9/OhDIpcsUmD/VSSVHTUVG0KyxnKIeeALPC/5WyM7DA0NdZ8CX825S+T+rb5SgsR8c7pcOf0zoWyBfylWySiOyRQ3JEqqRGGLkkv8k1uQmugj/BbXA3ic4E05nP5BmC+0eH6KHK</latexit> 5. Set . 1. Set and compute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit> FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit> F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit> = permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit> prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit> = provisional decryption key = number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> (prov)<latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit> ()<latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit><latexit sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit> 4. Compute and . for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit> 0 B B @ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 C C A 7 ! 0 B B @ 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 C C A = P(23) <latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">AAAC4HiclVJNj9MwEHXCxy7hq8CRi0UF6l6qZEF09wBaiQvHItHdleqoctxJaq1jR/ZkpSrKiQsHEOLKz+LGL+GK0xZY9uPAk0Z6ejPjNx47q5R0GMc/gvDa9Rs3t7ZvRbfv3L13v/fg4aEztRUwEUYZe5xxB0pqmKBEBceVBV5mCo6ykzdd/ugUrJNGv8dlBWnJCy1zKTh6adb7yRTkOKAsg0LqhlvLl20jPNoooc9o/CcYizqSnBf+imeEtchAzzdHUmZlscAdypTRRckrhyb6X+8LVpcOc7X3KzqeNYPd5zttNOv14+H+3ujlaJ9eJMkwXqFPNhjPet/Z3Ii6BI1CceemSVxh6h1QCgVtxGoHFRcnvICpp5qX4NJm9UAtfeqVOc2N9aGRrtSzHQ0vnVuWma8sOS7c+VwnXpab1pjvpY3UVY2gxdoorxVFQ7vXpnNpQaBaesKFlX5WKhbccoH+T3RL+H1TejU53B0m8TB596J/8Hqzjm3ymDwhA5KQETkgb8mYTIgI0uBD8Cn4HGbhx/BL+HVdGgabnkfkH4TffgGkys42</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit> (23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit> Notation Algorithm 3. Compute .Fprov(C) := Pt ⌧ F(C)P⌧<latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit 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sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit> 2. Choose at random, set .prov := ⌧<latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit><latexit sha1_base64="Cfwj3bS8r2thUWODXNsD3JhZj+U=">AAACEnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+QRHcuFSwKnRKuZOmGppJQnJHLEO/wY2/4saFIm5dufNvTGsFnwcCh3PO5eaexEjhMAzfgoHBoeGR0bHxwsTk1PRMcXbu1OnMMl5hWmp7noDjUiheQYGSnxvLIU0kP0taB13/7IpbJ7Q6wbbhtRQulGgKBuilenElboExUM9j5NeotE1B5sbqq06H7uzSGCGj/UixFJa3NzfWt7bpbxKVwx5KpI+jevE1bmiWpVwhk+BcNQoN1nKwKJjknUKcOW6AteCCVz1VkHJXy3sndeiSVxq0qa1/CmlP/TqRQ+pcO018MgW8dD+9rviXV82wuVXLhTIZcsU+FjUzSVHTbj+0ISxnKNueALPC/5WyS7DA0LdY8CV8Xkr/J6er5SgsR8drpf29fh1jZIEskmUSkU2yTw7JEakQRm7IHXkgj8FtcB88Bc8f0YGgPzNPviF4eQfXkZ7U</latexit> ⌧ 2 Trans(A)<latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit><latexit sha1_base64="LZq786K8cdCnJFk7CIMN9D5Gfbs=">AAACB3icdVDJSgNBEO1xjXGLehSkMQh6GWZEiF5E8eIxQhYhM4SaTkcbe3qG7hoxDLl58Ve8eFDEq7/gzb+xswiuDwoe71VRVS9KpTDoee/OxOTU9MxsYa44v7C4tFxaWW2YJNOM11kiE30egeFSKF5HgZKfp5pDHEnejK5OBn7zmmsjElXDXsrDGC6U6AoGaKV2aSNAyGggFA2Q36BKdAwyr2lQpr99vNMulT33YL/iez79TXzXG6JMxqi2S29BJ2FZzBUyCca0fC/FMAeNgkneLwaZ4SmwK7jgLUsVxNyE+fCPPt2ySod2E21LIR2qXydyiI3pxZHtjAEvzU9vIP7ltTLs7oe5UGmGXLHRom4mKSZ0EArtCM0Zyp4lwLSwt1J2CRoY2uiKNoTPT+n/pLHr+p7rn+2Vjw7HcRTIOtkk28QnFXJETkmV1Akjt+SePJIn5855cJ6dl1HrhDOeWSPf4Lx+AB/cmXY=</latexit>
  • 118.
    if :(prov) >()<latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit><latexit sha1_base64="kk8EbMqCJBCyLnuP8AwfIy1DSwM=">AAACHnicdVDLSgMxFM34tr6qLt0Ei6CbMiO+uimCG5cKVoVOKXfSVEMzSUjuiGXol7jxV9y4UERwpX9jWiv4PBA4nHMuN/ckRgqHYfgWjIyOjU9MTk0XZmbn5heKi0unTmeW8RrTUtvzBByXQvEaCpT83FgOaSL5WdI56PtnV9w6odUJdg1vpHChRFswQC81i9ux9OEWrMcdMAaaeYz8GpW2KcjcWH3V623QKv2e2mgWS2G5sruzvVehv0lUDgcokSGOmsWXuKVZlnKFTIJz9Sg02MjBomCS9wpx5rgB1oELXvdUQcpdIx+c16NrXmnRtrb+KaQD9etEDqlz3TTxyRTw0v30+uJfXj3D9l4jF8pkyBX7WNTOJEVN+13RlrCcoex6AswK/1fKLsECQ99owZfweSn9n5xulqOwHB1vlfarwzqmyApZJeskIrtknxySI1IjjNyQO/JAHoPb4D54Cp4/oiPBcGaZfEPw+g6jGqNp</latexit> F(C) := Fprov(C)<latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit><latexit sha1_base64="s7/reik31Y9RZqrvqXxMxLILWZE=">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</latexit> 5. Set .  := prov<latexit sha1_base64="MvkjRA9dJDys5/s594mrSWwsPkY=">AAACDXicdVDLSgNBEJz1bXxFPXoZjIKnsCtqVFAELx4VjApJCL2TiQ6ZnRlmesWw5Ae8+CtePCji1bs3/8bJQ/BZ0FBUddPdFRspHIbhezA0PDI6Nj4xmZuanpmdy88vnDmdWsbLTEttL2JwXArFyyhQ8gtjOSSx5Odx67Drn19z64RWp9g2vJbApRJNwQC9VM+vVFtgDNDdPdpn9ayK/AaVtgnIzFh93enU84WwuFPa2tzeob9JVAx7KJABjuv5t2pDszThCpkE5ypRaLCWgUXBJO/kqqnjBlgLLnnFUwUJd7Ws902HrnqlQZva+lJIe+rXiQwS59pJ7DsTwCv30+uKf3mVFJvbtUwokyJXrL+omUqKmnajoQ1hOUPZ9gSYFf5Wyq7AAkMfYM6H8Pkp/Z+crRejsBidbBQO9gdxTJAlskzWSERK5IAckWNSJozcknvySJ6Cu+AheA5e+q1DwWBmkXxD8PoBCcSc3A==</latexit><latexit sha1_base64="MvkjRA9dJDys5/s594mrSWwsPkY=">AAACDXicdVDLSgNBEJz1bXxFPXoZjIKnsCtqVFAELx4VjApJCL2TiQ6ZnRlmesWw5Ae8+CtePCji1bs3/8bJQ/BZ0FBUddPdFRspHIbhezA0PDI6Nj4xmZuanpmdy88vnDmdWsbLTEttL2JwXArFyyhQ8gtjOSSx5Odx67Drn19z64RWp9g2vJbApRJNwQC9VM+vVFtgDNDdPdpn9ayK/AaVtgnIzFh93enU84WwuFPa2tzeob9JVAx7KJABjuv5t2pDszThCpkE5ypRaLCWgUXBJO/kqqnjBlgLLnnFUwUJd7Ws902HrnqlQZva+lJIe+rXiQwS59pJ7DsTwCv30+uKf3mVFJvbtUwokyJXrL+omUqKmnajoQ1hOUPZ9gSYFf5Wyq7AAkMfYM6H8Pkp/Z+crRejsBidbBQO9gdxTJAlskzWSERK5IAckWNSJozcknvySJ6Cu+AheA5e+q1DwWBmkXxD8PoBCcSc3A==</latexit><latexit sha1_base64="MvkjRA9dJDys5/s594mrSWwsPkY=">AAACDXicdVDLSgNBEJz1bXxFPXoZjIKnsCtqVFAELx4VjApJCL2TiQ6ZnRlmesWw5Ae8+CtePCji1bs3/8bJQ/BZ0FBUddPdFRspHIbhezA0PDI6Nj4xmZuanpmdy88vnDmdWsbLTEttL2JwXArFyyhQ8gtjOSSx5Odx67Drn19z64RWp9g2vJbApRJNwQC9VM+vVFtgDNDdPdpn9ayK/AaVtgnIzFh93enU84WwuFPa2tzeob9JVAx7KJABjuv5t2pDszThCpkE5ypRaLCWgUXBJO/kqqnjBlgLLnnFUwUJd7Ws902HrnqlQZva+lJIe+rXiQwS59pJ7DsTwCv30+uKf3mVFJvbtUwokyJXrL+omUqKmnajoQ1hOUPZ9gSYFf5Wyq7AAkMfYM6H8Pkp/Z+crRejsBidbBQO9gdxTJAlskzWSERK5IAckWNSJozcknvySJ6Cu+AheA5e+q1DwWBmkXxD8PoBCcSc3A==</latexit><latexit sha1_base64="MvkjRA9dJDys5/s594mrSWwsPkY=">AAACDXicdVDLSgNBEJz1bXxFPXoZjIKnsCtqVFAELx4VjApJCL2TiQ6ZnRlmesWw5Ae8+CtePCji1bs3/8bJQ/BZ0FBUddPdFRspHIbhezA0PDI6Nj4xmZuanpmdy88vnDmdWsbLTEttL2JwXArFyyhQ8gtjOSSx5Odx67Drn19z64RWp9g2vJbApRJNwQC9VM+vVFtgDNDdPdpn9ayK/AaVtgnIzFh93enU84WwuFPa2tzeob9JVAx7KJABjuv5t2pDszThCpkE5ypRaLCWgUXBJO/kqqnjBlgLLnnFUwUJd7Ws902HrnqlQZva+lJIe+rXiQwS59pJ7DsTwCv30+uKf3mVFJvbtUwokyJXrL+omUqKmnajoQ1hOUPZ9gSYFf5Wyq7AAkMfYM6H8Pkp/Z+crRejsBidbBQO9gdxTJAlskzWSERK5IAckWNSJozcknvySJ6Cu+AheA5e+q1DwWBmkXxD8PoBCcSc3A==</latexit> 6. Set . 1. Set and compute and . := idA<latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit><latexit sha1_base64="8x5909em3Gy7V038h6Zg1Rz9HVI=">AAACBnicdVDLSgNBEJz1GeMr6lGEwSB4CruiJhGUiBePEUwiJCH0TiY6ZHZ2mekVw5KTF3/FiwdFvPoN3vwbJw/BZ0FDUdVNd5cfSWHQdd+dicmp6ZnZ1Fx6fmFxaTmzslo1YawZr7BQhvrCB8OlULyCAiW/iDSHwJe85ndPBn7tmmsjQnWOvYg3A7hUoiMYoJVamY1GF6II6MEhbSC/QRXqAGQi2v1WctxvZbJurpjf3ysU6W/i5dwhsmSMcivz1miHLA64QibBmLrnRthMQKNgkvfTjdjwCFgXLnndUgUBN81k+EafblmlTTuhtqWQDtWvEwkExvQC33YGgFfmpzcQ//LqMXYKzUSoKEau2GhRJ5YUQzrIhLaF5gxlzxJgWthbKbsCDQxtcmkbwuen9H9S3cl5bs47282WjsZxpMg62STbxCN5UiKnpEwqhJFbck8eyZNz5zw4z87LqHXCGc+skW9wXj8A8IOZdA==</latexit> FT<latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit><latexit sha1_base64="HmkvYqdftULUHmigM7GGEmqFgek=">AAAB7HicdVDLSsNAFL2pr1pfVZduBovgKiRibbuRgiAuKzRtoQ1lMp20QyeTMDMRSug3uHGhiFs/yJ1/4/Qh+Dxw4XDOvdx7T5BwprTjvFu5ldW19Y38ZmFre2d3r7h/0FJxKgn1SMxj2QmwopwJ6mmmOe0kkuIo4LQdjK9mfvuOSsVi0dSThPoRHgoWMoK1kbzrftac9oslx65VLsrVGvpNXNuZowRLNPrFt94gJmlEhSYcK9V1nUT7GZaaEU6nhV6qaILJGA9p11CBI6r8bH7sFJ0YZYDCWJoSGs3VrxMZjpSaRIHpjLAeqZ/eTPzL66Y6rPoZE0mqqSCLRWHKkY7R7HM0YJISzSeGYCKZuRWREZaYaJNPwYTw+Sn6n7TObNex3dvzUv1yGUcejuAYTsGFCtThBhrgAQEG9/AIT5awHqxn62XRmrOWM4fwDdbrB3bHjx0=</latexit> F(C) = FC<latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit><latexit sha1_base64="KrgaCgdJnxuBuJYdSTT7D15vxq4=">AAAB/nicdVDLSsNAFJ3UV62vqLhyM1iEugmJqG0XSqEgLivYB7QhTKaTdugkGWYmQgkBf8WNC0Xc+h3u/BunD8HngQtnzrmXuff4nFGpbPvdyC0sLi2v5FcLa+sbm1vm9k5LxonApIljFouOjyRhNCJNRRUjHS4ICn1G2v6oPvHbt0RIGkc3asyJG6JBRAOKkdKSZ+5demlvhDhHpfpRBs+hftczzyzaVrV8dlqpwt/EsewpimCOhme+9foxTkISKcyQlF3H5spNkVAUM5IVeokkHOERGpCuphEKiXTT6foZPNRKHwax0BUpOFW/TqQolHIc+rozRGoof3oT8S+vm6ig4qY04okiEZ59FCQMqhhOsoB9KghWbKwJwoLqXSEeIoGw0okVdAifl8L/SevYcmzLuT4p1i7mceTBPjgAJeCAMqiBK9AATYBBCu7BI3gy7owH49l4mbXmjPnMLvgG4/UDITGU9A==</latexit> = permutation matrixP⌧<latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit><latexit sha1_base64="LMmAC+CyEwB+wwZIEGvvYcMn2bc=">AAAB73icdVDLSgNBEOyNrxhfUY9eBoPgadkVg8lFAl48RjAxkCxhdjJJhszOrjO9QljyE148KOLV3/Hm3zh5CD4LGoqqbrq7wkQKg5737uSWlldW1/LrhY3Nre2d4u5e08SpZrzBYhnrVkgNl0LxBgqUvJVoTqNQ8ptwdDH1b+64NiJW1zhOeBDRgRJ9wShaqVXvZh2k6aRbLHluteqXyxXym/iuN0MJFqh3i2+dXszSiCtkkhrT9r0Eg4xqFEzySaGTGp5QNqID3rZU0YibIJvdOyFHVumRfqxtKSQz9etERiNjxlFoOyOKQ/PTm4p/ee0U+5UgEypJkSs2X9RPJcGYTJ8nPaE5Qzm2hDIt7K2EDammDG1EBRvC56fkf9I8cX3P9a9OS7XzRRx5OIBDOAYfzqAGl1CHBjCQcA+P8OTcOg/Os/Myb805i5l9+Abn9QPeJpCC</latexit> prov<latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit><latexit sha1_base64="QDNvVrgBPgzC62xhIvblkG4OftU=">AAACA3icdVBNSwMxEM36bf2qetNLsAieyq5YrBcRvHhUsCq0pcymaRuaTUIyWyxLwYt/xYsHRbz6J7z5b0xrBT8fDDzem2FmXmykcBiGb8HE5NT0zOzcfG5hcWl5Jb+6duF0ahmvMC21vYrBcSkUr6BAya+M5ZDEkl/G3eOhf9nj1gmtzrFveD2BthItwQC91Mhv1LpgDDSyGvJrVNomIDNjdW8waOQLYfHgICqVyvQ3iYrhCAUyxmkj/1prapYmXCGT4Fw1Cg3WM7AomOSDXC113ADrQptXPVWQcFfPRj8M6LZXmrSlrS+FdKR+ncggca6fxL4zAey4n95Q/Murptgq1zOhTIpcsY9FrVRS1HQYCG0KyxnKvifArPC3UtYBCwx9bDkfwuen9H9ysVuMwmJ0tlc4OhzHMUc2yRbZIRHZJ0fkhJySCmHkhtyRB/IY3Ab3wVPw/NE6EYxn1sk3BC/vWEGZQw==</latexit> = provisional decryption key = number of repetitionsR<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> (prov)<latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit sha1_base64="7VbFiKTeGlOt//1ifiwUXEItYec=">AAACDHicdVDLSgMxFM34tr6qLt0Ei6CbMiM+NyK4cVnBVqFTyp001dBMEpI7Yhn6AW78FTcuFHHrB7jzb0xrBZ8HAodzzuXmnsRI4TAM34KR0bHxicmp6cLM7Nz8QnFxqeZ0ZhmvMi21PU/AcSkUr6JAyc+N5ZAmkp8lnaO+f3bFrRNanWLX8EYKF0q0BQP0UrNYiqUPt2A97oAx0Mxj5NeotE1B5sbqq15vw6fC8v7uzvbePv1NonI4QIkMUWkWX+OWZlnKFTIJztWj0GAjB4uCSd4rxJnjBlgHLnjdUwUpd418cEyPrnmlRdva+qeQDtSvEzmkznXTxCdTwEv30+uLf3n1DNt7jVwokyFX7GNRO5MUNe03Q1vCcoay6wkwK/xfKbsECwx9fwVfwuel9H9S2yxHYTk62SodHgzrmCIrZJWsk4jskkNyTCqkShi5IXfkgTwGt8F98BQ8f0RHguHMMvmG4OUdy4qcwA==</latexit><latexit 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sha1_base64="/8gcimvH0GpfwWEpg+6TvlvaMYc=">AAAB+HicdVDLSsNAFJ3UV62PRl26GSxC3YRE1LYbKbhxWcHaQhPKzWTSDp08mJkINfRL3LhQxK2f4s6/cfoQfB4YOJxzLvfO8VPOpLLtd6OwtLyyulZcL21sbm2XzZ3dG5lkgtA2SXgiuj5IyllM24opTrupoBD5nHb80cXU79xSIVkSX6txSr0IBjELGQGlpb5ZdrkOB1B1R5CmcNQ3K7bVqJ2d1hv4N3Ese4YKWqDVN9/cICFZRGNFOEjZc+xUeTkIxQink5KbSZoCGcGA9jSNIaLSy2eHT/ChVgIcJkK/WOGZ+nUih0jKceTrZARqKH96U/Evr5epsO7lLE4zRWMyXxRmHKsET1vAAROUKD7WBIhg+lZMhiCAKN1VSZfw+VP8P7k5thzbcq5OKs3zRR1FtI8OUBU5qIaa6BK1UBsRlKF79IiejDvjwXg2XubRgrGY2UPfYLx+ANubkzg=</latexit> 4. Compute and . for in range( ):R<latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit><latexit sha1_base64="upaOG+JfdHzWs6DRx+SQvYQLfeU=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYSUXORgBePiZgFkiH0dGqSNj0L3T1CCPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7O0vLK6ll3PbWxube/kd/caKk4lwzqLRSxbPlUoeIR1zbXAViKRhr7Apj+8nPrNO5SKx9GNHiXohbQf8YAzqo1Uu+7mC45dLpeKpVPym7i2M0MBFqh282+dXszSECPNBFWq7TqJ9sZUas4ETnKdVGFC2ZD2sW1oRENU3nh26IQcGaVHgliaijSZqV8nxjRUahT6pjOkeqB+elPxL6+d6uDcG/MoSTVGbL4oSAXRMZl+TXpcItNiZAhlkptbCRtQSZk22eRMCJ+fkv9Jo2i7ju3WTgqVi0UcWTiAQzgGF86gAldQhTowQLiHR3iybq0H69l6mbdmrMXMPnyD9foBNp+NMg==</latexit> i<latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit><latexit sha1_base64="uBgn0MsnFodxtJNKgVhkZJ3TTtc=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaiqLlIwIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1U571iybErlZPyyRn5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDi68jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLuLIwwEcwjG4cA5VuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w9Ze41J</latexit> 0 B B @ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 C C A 7 ! 0 B B @ 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 C C A = P(23) <latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">AAAC4HiclVJNj9MwEHXCxy7hq8CRi0UF6l6qZEF09wBaiQvHItHdleqoctxJaq1jR/ZkpSrKiQsHEOLKz+LGL+GK0xZY9uPAk0Z6ejPjNx47q5R0GMc/gvDa9Rs3t7ZvRbfv3L13v/fg4aEztRUwEUYZe5xxB0pqmKBEBceVBV5mCo6ykzdd/ugUrJNGv8dlBWnJCy1zKTh6adb7yRTkOKAsg0LqhlvLl20jPNoooc9o/CcYizqSnBf+imeEtchAzzdHUmZlscAdypTRRckrhyb6X+8LVpcOc7X3KzqeNYPd5zttNOv14+H+3ujlaJ9eJMkwXqFPNhjPet/Z3Ii6BI1CceemSVxh6h1QCgVtxGoHFRcnvICpp5qX4NJm9UAtfeqVOc2N9aGRrtSzHQ0vnVuWma8sOS7c+VwnXpab1pjvpY3UVY2gxdoorxVFQ7vXpnNpQaBaesKFlX5WKhbccoH+T3RL+H1TejU53B0m8TB596J/8Hqzjm3ymDwhA5KQETkgb8mYTIgI0uBD8Cn4HGbhx/BL+HVdGgabnkfkH4TffgGkys42</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit><latexit sha1_base64="l6LV+QeE+veAIp+YE3mHvQPqOrc=">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</latexit> (23)<latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit><latexit sha1_base64="9YVT36TBkaC3C3TjDKN9OyUiBYc=">AAAB63icdVDLSsNAFL2pr1pfVZduBotQNyGpYtuNFNy4rGAf0IYymU7aoZNJmJkIJfQX3LhQxK0/5M6/cdJW8HngwuGce7n3Hj/mTGnHebdyK6tr6xv5zcLW9s7uXnH/oK2iRBLaIhGPZNfHinImaEszzWk3lhSHPqcdf3KV+Z07KhWLxK2extQL8UiwgBGsM6lcOTsdFEuOXa9VL6p19Ju4tjNHCZZoDopv/WFEkpAKTThWquc6sfZSLDUjnM4K/UTRGJMJHtGeoQKHVHnp/NYZOjHKEAWRNCU0mqtfJ1IcKjUNfdMZYj1WP71M/MvrJTqoeSkTcaKpIItFQcKRjlD2OBoySYnmU0MwkczcisgYS0y0iadgQvj8FP1P2hXbdWz35rzUuFzGkYcjOIYyuFCFBlxDE1pAYAz38AhPVmg9WM/Wy6I1Zy1nDuEbrNcPepuN3g==</latexit> Notation Algorithm 3. Compute .Fprov(C) := Pt ⌧ F(C)P⌧<latexit sha1_base64="+PVR3KDpLTsKt5TgBmQZ1DO4AbQ=">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</latexit><latexit 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