(2019.6) 分子のグラフ表現と機械学習
•
2 likes•808 views
The document discusses machine learning algorithms for classification and regression. It compares different tree-based algorithms such as LightGBM, See5/C5.0, CART, Random Forests, CatBoost, TFBoost, and TenscentBoost. These algorithms are useful for tasks like prediction, risk assessment, and decision making.
More Related Content
More from Ichigaku Takigawa
More from Ichigaku Takigawa (20)
Recently uploaded
Recently uploaded (20)
(2019.6) 分子のグラフ表現と機械学習
- 1. 3 2019 6 21 ( ) (AIP) iPS (WPI-ICReDD) ichigaku.takigawa@riken.jp
- 2. ( ) !2 10 (1995 2004) 7 (2005 2011) 7 (2012 2018) ( ) " L1 " ( ) ( ) ( ) + JST : (2019 ) AIP iPS ( )
- 3. !3 v h(1) v = xv 0<latexit sha1_base64="t0YIAtusNim9537WktegaHytwZo=">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</latexit><latexit sha1_base64="t0YIAtusNim9537WktegaHytwZo=">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</latexit><latexit sha1_base64="t0YIAtusNim9537WktegaHytwZo=">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</latexit><latexit sha1_base64="t0YIAtusNim9537WktegaHytwZo=">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</latexit> h(t 1) v a(t) v h(t) v yv zv h (T ) v xv tanh X v2V (yv) tanh(zv) !hG =<latexit sha1_base64="ARMGXVwsPnaLefmPlcb2NUBMhVE=">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</latexit><latexit sha1_base64="ARMGXVwsPnaLefmPlcb2NUBMhVE=">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</latexit><latexit sha1_base64="ARMGXVwsPnaLefmPlcb2NUBMhVE=">AAACmXichVHLSsNAFD3GV33Xx0JwUyyKq3IjgiIIPhaKK7VWBSsliVMbzItkWqihP+APuHCjggv1A/wAN/6ACz9BXCq4ceFtGhAV9YbJnDlzz50zc3XPMgNJ9NikNLe0trUnOjq7unt6+5L9A1uBW/YNkTNcy/V3dC0QlumInDSlJXY8X2i2bolt/XCpvr9dEX5gus6mrHpiz9YOHLNoGppkqpAcyut2WKoV8rYmS4Zmhcu11FwhmaYMRZH6CdQYpBHHmpu8RR77cGGgDBsCDiRjCxoC/nahguAxt4eQOZ+RGe0L1NDJ2jJnCc7QmD3k/wGvdmPW4XW9ZhCpDT7F4uGzMoUxeqAreqF7uqEnev+1VhjVqHup8qw3tMIr9B0PZ9/+Vdk8S5Q+VX96lihiJvJqsncvYuq3MBr6ytHJS3Z2Yywcpwt6Zv/n9Eh3fAOn8mpcrouN0z/86OyFX4wbpH5vx0+wNZlRKaOuT6XnF+NWJTCCUUxwP6YxjxWsIcf1j3CGK1wrI8qCsqKsNlKVplgziC+hZD8A53GYIg==</latexit><latexit sha1_base64="ARMGXVwsPnaLefmPlcb2NUBMhVE=">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</latexit> / LightGBM (Microsoft) See5/C5.0 & Cubist (RuleQuest) CART® MARS® TreeNet® Random Forests® (Salford Systems) CatBoost (Yandex) TFBoost (Google) TenscentBoost (Tenscent) Sherwood decision forests TM<latexit sha1_base64="3lNT6fDKJcuWlwKB3nTYE+9PbNM=">AAAB+nicbVC7SgNBFL0bXzG+opY2g0GwCrsiaBm0sREi5gXJEmYns8mQeSwzs0JY8wm22tuJrT9j65c4SbbQ6IELh3Pu5VxOlHBmrO9/eoWV1bX1jeJmaWt7Z3evvH/QMirVhDaJ4kp3ImwoZ5I2LbOcdhJNsYg4bUfj65nffqDaMCUbdpLQUOChZDEj2DrpvtG/7ZcrftWfA/0lQU4qkKPeL3/1BoqkgkpLODamG/iJDTOsLSOcTku91NAEkzEe0q6jEgtqwmz+6hSdOGWAYqXdSIvm6s+LDAtjJiJymwLbkVn2ZuK/XiSWkm18GWZMJqmlkiyC45Qjq9CsBzRgmhLLJ45gopn7HZER1phY11bJlRIsV/CXtM6qgV8N7s4rtau8niIcwTGcQgAXUIMbqEMTCAzhCZ7hxXv0Xr03732xWvDym0P4Be/jG0AQlD4=</latexit><latexit sha1_base64="3lNT6fDKJcuWlwKB3nTYE+9PbNM=">AAAB+nicbVC7SgNBFL0bXzG+opY2g0GwCrsiaBm0sREi5gXJEmYns8mQeSwzs0JY8wm22tuJrT9j65c4SbbQ6IELh3Pu5VxOlHBmrO9/eoWV1bX1jeJmaWt7Z3evvH/QMirVhDaJ4kp3ImwoZ5I2LbOcdhJNsYg4bUfj65nffqDaMCUbdpLQUOChZDEj2DrpvtG/7ZcrftWfA/0lQU4qkKPeL3/1BoqkgkpLODamG/iJDTOsLSOcTku91NAEkzEe0q6jEgtqwmz+6hSdOGWAYqXdSIvm6s+LDAtjJiJymwLbkVn2ZuK/XiSWkm18GWZMJqmlkiyC45Qjq9CsBzRgmhLLJ45gopn7HZER1phY11bJlRIsV/CXtM6qgV8N7s4rtau8niIcwTGcQgAXUIMbqEMTCAzhCZ7hxXv0Xr03732xWvDym0P4Be/jG0AQlD4=</latexit><latexit sha1_base64="3lNT6fDKJcuWlwKB3nTYE+9PbNM=">AAAB+nicbVC7SgNBFL0bXzG+opY2g0GwCrsiaBm0sREi5gXJEmYns8mQeSwzs0JY8wm22tuJrT9j65c4SbbQ6IELh3Pu5VxOlHBmrO9/eoWV1bX1jeJmaWt7Z3evvH/QMirVhDaJ4kp3ImwoZ5I2LbOcdhJNsYg4bUfj65nffqDaMCUbdpLQUOChZDEj2DrpvtG/7ZcrftWfA/0lQU4qkKPeL3/1BoqkgkpLODamG/iJDTOsLSOcTku91NAEkzEe0q6jEgtqwmz+6hSdOGWAYqXdSIvm6s+LDAtjJiJymwLbkVn2ZuK/XiSWkm18GWZMJqmlkiyC45Qjq9CsBzRgmhLLJ45gopn7HZER1phY11bJlRIsV/CXtM6qgV8N7s4rtau8niIcwTGcQgAXUIMbqEMTCAzhCZ7hxXv0Xr03732xWvDym0P4Be/jG0AQlD4=</latexit><latexit sha1_base64="3lNT6fDKJcuWlwKB3nTYE+9PbNM=">AAAB+nicbVC7SgNBFL0bXzG+opY2g0GwCrsiaBm0sREi5gXJEmYns8mQeSwzs0JY8wm22tuJrT9j65c4SbbQ6IELh3Pu5VxOlHBmrO9/eoWV1bX1jeJmaWt7Z3evvH/QMirVhDaJ4kp3ImwoZ5I2LbOcdhJNsYg4bUfj65nffqDaMCUbdpLQUOChZDEj2DrpvtG/7ZcrftWfA/0lQU4qkKPeL3/1BoqkgkpLODamG/iJDTOsLSOcTku91NAEkzEe0q6jEgtqwmz+6hSdOGWAYqXdSIvm6s+LDAtjJiJymwLbkVn2ZuK/XiSWkm18GWZMJqmlkiyC45Qjq9CsBzRgmhLLJ45gopn7HZER1phY11bJlRIsV/CXtM6qgV8N7s4rtau8niIcwTGcQgAXUIMbqEMTCAzhCZ7hxXv0Xr03732xWvDym0P4Be/jG0AQlD4=</latexit> FAB/HME (NEC) n0<latexit sha1_base64="SMDvU+/yhJKBfKVBzE02+wp2S94=">AAAB+nicbVA9SwNBFHwXv2L8ilraLAbBKtyJoGXQxjKiiYHkCHubd8mS3b1jd08IMT/BVns7sfXP2PpL3CRXaOLAg2HmPeYxUSq4sb7/5RVWVtfWN4qbpa3tnd298v5B0ySZZthgiUh0K6IGBVfYsNwKbKUaqYwEPkTD66n/8Ija8ETd21GKoaR9xWPOqHXSner63XLFr/ozkGUS5KQCOerd8nenl7BMorJMUGPagZ/acEy15UzgpNTJDKaUDWkf244qKtGE49mrE3LilB6JE+1GWTJTf1+MqTRmJCO3KakdmEVvKv7rRXIh2caX4ZirNLOo2Dw4zgSxCZn2QHpcI7Ni5AhlmrvfCRtQTZl1bZVcKcFiBcukeVYN/Gpwe16pXeX1FOEIjuEUAriAGtxAHRrAoA/P8AKv3pP35r17H/PVgpffHMIfeJ8/O4iUOw==</latexit><latexit sha1_base64="SMDvU+/yhJKBfKVBzE02+wp2S94=">AAAB+nicbVA9SwNBFHwXv2L8ilraLAbBKtyJoGXQxjKiiYHkCHubd8mS3b1jd08IMT/BVns7sfXP2PpL3CRXaOLAg2HmPeYxUSq4sb7/5RVWVtfWN4qbpa3tnd298v5B0ySZZthgiUh0K6IGBVfYsNwKbKUaqYwEPkTD66n/8Ija8ETd21GKoaR9xWPOqHXSner63XLFr/ozkGUS5KQCOerd8nenl7BMorJMUGPagZ/acEy15UzgpNTJDKaUDWkf244qKtGE49mrE3LilB6JE+1GWTJTf1+MqTRmJCO3KakdmEVvKv7rRXIh2caX4ZirNLOo2Dw4zgSxCZn2QHpcI7Ni5AhlmrvfCRtQTZl1bZVcKcFiBcukeVYN/Gpwe16pXeX1FOEIjuEUAriAGtxAHRrAoA/P8AKv3pP35r17H/PVgpffHMIfeJ8/O4iUOw==</latexit><latexit sha1_base64="SMDvU+/yhJKBfKVBzE02+wp2S94=">AAAB+nicbVA9SwNBFHwXv2L8ilraLAbBKtyJoGXQxjKiiYHkCHubd8mS3b1jd08IMT/BVns7sfXP2PpL3CRXaOLAg2HmPeYxUSq4sb7/5RVWVtfWN4qbpa3tnd298v5B0ySZZthgiUh0K6IGBVfYsNwKbKUaqYwEPkTD66n/8Ija8ETd21GKoaR9xWPOqHXSner63XLFr/ozkGUS5KQCOerd8nenl7BMorJMUGPagZ/acEy15UzgpNTJDKaUDWkf244qKtGE49mrE3LilB6JE+1GWTJTf1+MqTRmJCO3KakdmEVvKv7rRXIh2caX4ZirNLOo2Dw4zgSxCZn2QHpcI7Ni5AhlmrvfCRtQTZl1bZVcKcFiBcukeVYN/Gpwe16pXeX1FOEIjuEUAriAGtxAHRrAoA/P8AKv3pP35r17H/PVgpffHMIfeJ8/O4iUOw==</latexit><latexit sha1_base64="SMDvU+/yhJKBfKVBzE02+wp2S94=">AAAB+nicbVA9SwNBFHwXv2L8ilraLAbBKtyJoGXQxjKiiYHkCHubd8mS3b1jd08IMT/BVns7sfXP2PpL3CRXaOLAg2HmPeYxUSq4sb7/5RVWVtfWN4qbpa3tnd298v5B0ySZZthgiUh0K6IGBVfYsNwKbKUaqYwEPkTD66n/8Ija8ETd21GKoaR9xWPOqHXSner63XLFr/ozkGUS5KQCOerd8nenl7BMorJMUGPagZ/acEy15UzgpNTJDKaUDWkf244qKtGE49mrE3LilB6JE+1GWTJTf1+MqTRmJCO3KakdmEVvKv7rRXIh2caX4ZirNLOo2Dw4zgSxCZn2QHpcI7Ni5AhlmrvfCRtQTZl1bZVcKcFiBcukeVYN/Gpwe16pXeX1FOEIjuEUAriAGtxAHRrAoA/P8AKv3pP35r17H/PVgpffHMIfeJ8/O4iUOw==</latexit> `5<latexit sha1_base64="QskAqT0/sBw5YFuiSWAeedquLV0=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyKosegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL2LXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d16pXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AI70lYk=</latexit><latexit sha1_base64="QskAqT0/sBw5YFuiSWAeedquLV0=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyKosegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL2LXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d16pXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AI70lYk=</latexit><latexit sha1_base64="QskAqT0/sBw5YFuiSWAeedquLV0=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyKosegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL2LXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d16pXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AI70lYk=</latexit><latexit sha1_base64="QskAqT0/sBw5YFuiSWAeedquLV0=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyKosegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL2LXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d16pXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AI70lYk=</latexit> `6<latexit sha1_base64="Q4tv+ZRiuwOORgtlcQaGfjaE4O0=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyKqMegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL2LXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d16pXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AJCIlYo=</latexit><latexit sha1_base64="Q4tv+ZRiuwOORgtlcQaGfjaE4O0=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyKqMegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL2LXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d16pXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AJCIlYo=</latexit><latexit sha1_base64="Q4tv+ZRiuwOORgtlcQaGfjaE4O0=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyKqMegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL2LXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d16pXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AJCIlYo=</latexit><latexit sha1_base64="Q4tv+ZRiuwOORgtlcQaGfjaE4O0=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyKqMegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL2LXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d16pXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AJCIlYo=</latexit> n4<latexit sha1_base64="bUaWPk2ZV8CUf2V+neJgjqjSYgo=">AAAB+nicbVDLSgMxFL2pr1pfVZdugkVwVWakoMuiG5cV7QPaoWTSTBuaZIYkI5Sxn+BW9+7ErT/j1i8xbWehrQcuHM65l3M5YSK4sZ73hQpr6xubW8Xt0s7u3v5B+fCoZeJUU9aksYh1JySGCa5Y03IrWCfRjMhQsHY4vpn57UemDY/Vg50kLJBkqHjEKbFOulf9Wr9c8areHHiV+DmpQI5Gv/zdG8Q0lUxZKogxXd9LbJARbTkVbFrqpYYlhI7JkHUdVUQyE2TzV6f4zCkDHMXajbJ4rv6+yIg0ZiJDtymJHZllbyb+64VyKdlGV0HGVZJapugiOEoFtjGe9YAHXDNqxcQRQjV3v2M6IppQ69oquVL85QpWSeui6ntV/65WqV/n9RThBE7hHHy4hDrcQgOaQGEIz/ACr+gJvaF39LFYLaD85hj+AH3+AEHYlD8=</latexit><latexit sha1_base64="bUaWPk2ZV8CUf2V+neJgjqjSYgo=">AAAB+nicbVDLSgMxFL2pr1pfVZdugkVwVWakoMuiG5cV7QPaoWTSTBuaZIYkI5Sxn+BW9+7ErT/j1i8xbWehrQcuHM65l3M5YSK4sZ73hQpr6xubW8Xt0s7u3v5B+fCoZeJUU9aksYh1JySGCa5Y03IrWCfRjMhQsHY4vpn57UemDY/Vg50kLJBkqHjEKbFOulf9Wr9c8areHHiV+DmpQI5Gv/zdG8Q0lUxZKogxXd9LbJARbTkVbFrqpYYlhI7JkHUdVUQyE2TzV6f4zCkDHMXajbJ4rv6+yIg0ZiJDtymJHZllbyb+64VyKdlGV0HGVZJapugiOEoFtjGe9YAHXDNqxcQRQjV3v2M6IppQ69oquVL85QpWSeui6ntV/65WqV/n9RThBE7hHHy4hDrcQgOaQGEIz/ACr+gJvaF39LFYLaD85hj+AH3+AEHYlD8=</latexit><latexit sha1_base64="bUaWPk2ZV8CUf2V+neJgjqjSYgo=">AAAB+nicbVDLSgMxFL2pr1pfVZdugkVwVWakoMuiG5cV7QPaoWTSTBuaZIYkI5Sxn+BW9+7ErT/j1i8xbWehrQcuHM65l3M5YSK4sZ73hQpr6xubW8Xt0s7u3v5B+fCoZeJUU9aksYh1JySGCa5Y03IrWCfRjMhQsHY4vpn57UemDY/Vg50kLJBkqHjEKbFOulf9Wr9c8areHHiV+DmpQI5Gv/zdG8Q0lUxZKogxXd9LbJARbTkVbFrqpYYlhI7JkHUdVUQyE2TzV6f4zCkDHMXajbJ4rv6+yIg0ZiJDtymJHZllbyb+64VyKdlGV0HGVZJapugiOEoFtjGe9YAHXDNqxcQRQjV3v2M6IppQ69oquVL85QpWSeui6ntV/65WqV/n9RThBE7hHHy4hDrcQgOaQGEIz/ACr+gJvaF39LFYLaD85hj+AH3+AEHYlD8=</latexit><latexit sha1_base64="bUaWPk2ZV8CUf2V+neJgjqjSYgo=">AAAB+nicbVDLSgMxFL2pr1pfVZdugkVwVWakoMuiG5cV7QPaoWTSTBuaZIYkI5Sxn+BW9+7ErT/j1i8xbWehrQcuHM65l3M5YSK4sZ73hQpr6xubW8Xt0s7u3v5B+fCoZeJUU9aksYh1JySGCa5Y03IrWCfRjMhQsHY4vpn57UemDY/Vg50kLJBkqHjEKbFOulf9Wr9c8areHHiV+DmpQI5Gv/zdG8Q0lUxZKogxXd9LbJARbTkVbFrqpYYlhI7JkHUdVUQyE2TzV6f4zCkDHMXajbJ4rv6+yIg0ZiJDtymJHZllbyb+64VyKdlGV0HGVZJapugiOEoFtjGe9YAHXDNqxcQRQjV3v2M6IppQ69oquVL85QpWSeui6ntV/65WqV/n9RThBE7hHHy4hDrcQgOaQGEIz/ACr+gJvaF39LFYLaD85hj+AH3+AEHYlD8=</latexit> n1<latexit sha1_base64="mqAc8GlBhT6sx/DyDGgioJj1ayE=">AAAB+nicbVA9SwNBFHwXv2L8ilraLAbBKtyJoGXQxjKiiYHkCHubvWTJ7t6x+04IMT/BVns7sfXP2PpL3CRXaOLAg2HmPeYxUSqFRd//8gorq2vrG8XN0tb2zu5eef+gaZPMMN5giUxMK6KWS6F5AwVK3koNpyqS/CEaXk/9h0durEj0PY5SHira1yIWjKKT7nQ36JYrftWfgSyTICcVyFHvlr87vYRlimtkklrbDvwUwzE1KJjkk1InszylbEj7vO2oporbcDx7dUJOnNIjcWLcaCQz9ffFmCprRypym4riwC56U/FfL1ILyRhfhmOh0wy5ZvPgOJMEEzLtgfSE4QzlyBHKjHC/EzaghjJ0bZVcKcFiBcukeVYN/Gpwe16pXeX1FOEIjuEUAriAGtxAHRrAoA/P8AKv3pP35r17H/PVgpffHMIfeJ8/PRyUPA==</latexit><latexit sha1_base64="mqAc8GlBhT6sx/DyDGgioJj1ayE=">AAAB+nicbVA9SwNBFHwXv2L8ilraLAbBKtyJoGXQxjKiiYHkCHubvWTJ7t6x+04IMT/BVns7sfXP2PpL3CRXaOLAg2HmPeYxUSqFRd//8gorq2vrG8XN0tb2zu5eef+gaZPMMN5giUxMK6KWS6F5AwVK3koNpyqS/CEaXk/9h0durEj0PY5SHira1yIWjKKT7nQ36JYrftWfgSyTICcVyFHvlr87vYRlimtkklrbDvwUwzE1KJjkk1InszylbEj7vO2oporbcDx7dUJOnNIjcWLcaCQz9ffFmCprRypym4riwC56U/FfL1ILyRhfhmOh0wy5ZvPgOJMEEzLtgfSE4QzlyBHKjHC/EzaghjJ0bZVcKcFiBcukeVYN/Gpwe16pXeX1FOEIjuEUAriAGtxAHRrAoA/P8AKv3pP35r17H/PVgpffHMIfeJ8/PRyUPA==</latexit><latexit sha1_base64="mqAc8GlBhT6sx/DyDGgioJj1ayE=">AAAB+nicbVA9SwNBFHwXv2L8ilraLAbBKtyJoGXQxjKiiYHkCHubvWTJ7t6x+04IMT/BVns7sfXP2PpL3CRXaOLAg2HmPeYxUSqFRd//8gorq2vrG8XN0tb2zu5eef+gaZPMMN5giUxMK6KWS6F5AwVK3koNpyqS/CEaXk/9h0durEj0PY5SHira1yIWjKKT7nQ36JYrftWfgSyTICcVyFHvlr87vYRlimtkklrbDvwUwzE1KJjkk1InszylbEj7vO2oporbcDx7dUJOnNIjcWLcaCQz9ffFmCprRypym4riwC56U/FfL1ILyRhfhmOh0wy5ZvPgOJMEEzLtgfSE4QzlyBHKjHC/EzaghjJ0bZVcKcFiBcukeVYN/Gpwe16pXeX1FOEIjuEUAriAGtxAHRrAoA/P8AKv3pP35r17H/PVgpffHMIfeJ8/PRyUPA==</latexit><latexit sha1_base64="mqAc8GlBhT6sx/DyDGgioJj1ayE=">AAAB+nicbVA9SwNBFHwXv2L8ilraLAbBKtyJoGXQxjKiiYHkCHubvWTJ7t6x+04IMT/BVns7sfXP2PpL3CRXaOLAg2HmPeYxUSqFRd//8gorq2vrG8XN0tb2zu5eef+gaZPMMN5giUxMK6KWS6F5AwVK3koNpyqS/CEaXk/9h0durEj0PY5SHira1yIWjKKT7nQ36JYrftWfgSyTICcVyFHvlr87vYRlimtkklrbDvwUwzE1KJjkk1InszylbEj7vO2oporbcDx7dUJOnNIjcWLcaCQz9ffFmCprRypym4riwC56U/FfL1ILyRhfhmOh0wy5ZvPgOJMEEzLtgfSE4QzlyBHKjHC/EzaghjJ0bZVcKcFiBcukeVYN/Gpwe16pXeX1FOEIjuEUAriAGtxAHRrAoA/P8AKv3pP35r17H/PVgpffHMIfeJ8/PRyUPA==</latexit> `1<latexit sha1_base64="08fK0P4FbLL8ccSSHDRGsI2CLU4=">AAAB/XicbVDLSgNBEOz1GeMr6tHLYBA8hV0R9Bj04jGCeUCyhNlJJxkzM7vMzAphCf6CV717E69+i1e/xEmyB00saCiquqmmokRwY33/y1tZXVvf2CxsFbd3dvf2SweHDROnmmGdxSLWrYgaFFxh3XIrsJVopDIS2IxGN1O/+Yja8Fjd23GCoaQDxfucUeukRgeF6AbdUtmv+DOQZRLkpAw5at3Sd6cXs1SiskxQY9qBn9gwo9pyJnBS7KQGE8pGdIBtRxWVaMJs9u2EnDqlR/qxdqMsmam/LzIqjRnLyG1Kaodm0ZuK/3qRXEi2/asw4ypJLSo2D+6ngtiYTKsgPa6RWTF2hDLN3e+EDammzLrCiq6UYLGCZdI4rwR+Jbi7KFev83oKcAwncAYBXEIVbqEGdWDwAM/wAq/ek/fmvXsf89UVL785gj/wPn8AiKSVhQ==</latexit><latexit sha1_base64="08fK0P4FbLL8ccSSHDRGsI2CLU4=">AAAB/XicbVDLSgNBEOz1GeMr6tHLYBA8hV0R9Bj04jGCeUCyhNlJJxkzM7vMzAphCf6CV717E69+i1e/xEmyB00saCiquqmmokRwY33/y1tZXVvf2CxsFbd3dvf2SweHDROnmmGdxSLWrYgaFFxh3XIrsJVopDIS2IxGN1O/+Yja8Fjd23GCoaQDxfucUeukRgeF6AbdUtmv+DOQZRLkpAw5at3Sd6cXs1SiskxQY9qBn9gwo9pyJnBS7KQGE8pGdIBtRxWVaMJs9u2EnDqlR/qxdqMsmam/LzIqjRnLyG1Kaodm0ZuK/3qRXEi2/asw4ypJLSo2D+6ngtiYTKsgPa6RWTF2hDLN3e+EDammzLrCiq6UYLGCZdI4rwR+Jbi7KFev83oKcAwncAYBXEIVbqEGdWDwAM/wAq/ek/fmvXsf89UVL785gj/wPn8AiKSVhQ==</latexit><latexit sha1_base64="08fK0P4FbLL8ccSSHDRGsI2CLU4=">AAAB/XicbVDLSgNBEOz1GeMr6tHLYBA8hV0R9Bj04jGCeUCyhNlJJxkzM7vMzAphCf6CV717E69+i1e/xEmyB00saCiquqmmokRwY33/y1tZXVvf2CxsFbd3dvf2SweHDROnmmGdxSLWrYgaFFxh3XIrsJVopDIS2IxGN1O/+Yja8Fjd23GCoaQDxfucUeukRgeF6AbdUtmv+DOQZRLkpAw5at3Sd6cXs1SiskxQY9qBn9gwo9pyJnBS7KQGE8pGdIBtRxWVaMJs9u2EnDqlR/qxdqMsmam/LzIqjRnLyG1Kaodm0ZuK/3qRXEi2/asw4ypJLSo2D+6ngtiYTKsgPa6RWTF2hDLN3e+EDammzLrCiq6UYLGCZdI4rwR+Jbi7KFev83oKcAwncAYBXEIVbqEGdWDwAM/wAq/ek/fmvXsf89UVL785gj/wPn8AiKSVhQ==</latexit><latexit sha1_base64="08fK0P4FbLL8ccSSHDRGsI2CLU4=">AAAB/XicbVDLSgNBEOz1GeMr6tHLYBA8hV0R9Bj04jGCeUCyhNlJJxkzM7vMzAphCf6CV717E69+i1e/xEmyB00saCiquqmmokRwY33/y1tZXVvf2CxsFbd3dvf2SweHDROnmmGdxSLWrYgaFFxh3XIrsJVopDIS2IxGN1O/+Yja8Fjd23GCoaQDxfucUeukRgeF6AbdUtmv+DOQZRLkpAw5at3Sd6cXs1SiskxQY9qBn9gwo9pyJnBS7KQGE8pGdIBtRxWVaMJs9u2EnDqlR/qxdqMsmam/LzIqjRnLyG1Kaodm0ZuK/3qRXEi2/asw4ypJLSo2D+6ngtiYTKsgPa6RWTF2hDLN3e+EDammzLrCiq6UYLGCZdI4rwR+Jbi7KFev83oKcAwncAYBXEIVbqEGdWDwAM/wAq/ek/fmvXsf89UVL785gj/wPn8AiKSVhQ==</latexit> `2<latexit sha1_base64="xx+vRlfG+/KUMdANsZIc7AhzLqw=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKewGQY9BLx4jmAckS5id9CZjZmeXmVkhLMFf8Kp3b+LVb/HqlzhJ9qCJBQ1FVTfVVJAIro3rfjmFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Gbmtx9RaR7LezNJ0I/oUPKQM2qs1OqhEP1av1xxq+4cZJV4OalAjka//N0bxCyNUBomqNZdz02Mn1FlOBM4LfVSjQllYzrErqWSRqj9bP7tlJxZZUDCWNmRhszV3xcZjbSeRIHdjKgZ6WVvJv7rBdFSsgmv/IzLJDUo2SI4TAUxMZlVQQZcITNiYgllitvfCRtRRZmxhZVsKd5yBaukVat6btW7u6jUr/N6inACp3AOHlxCHW6hAU1g8ADP8AKvzpPz5rw7H4vVgpPfHMMfOJ8/ijiVhg==</latexit><latexit sha1_base64="xx+vRlfG+/KUMdANsZIc7AhzLqw=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKewGQY9BLx4jmAckS5id9CZjZmeXmVkhLMFf8Kp3b+LVb/HqlzhJ9qCJBQ1FVTfVVJAIro3rfjmFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Gbmtx9RaR7LezNJ0I/oUPKQM2qs1OqhEP1av1xxq+4cZJV4OalAjka//N0bxCyNUBomqNZdz02Mn1FlOBM4LfVSjQllYzrErqWSRqj9bP7tlJxZZUDCWNmRhszV3xcZjbSeRIHdjKgZ6WVvJv7rBdFSsgmv/IzLJDUo2SI4TAUxMZlVQQZcITNiYgllitvfCRtRRZmxhZVsKd5yBaukVat6btW7u6jUr/N6inACp3AOHlxCHW6hAU1g8ADP8AKvzpPz5rw7H4vVgpPfHMMfOJ8/ijiVhg==</latexit><latexit sha1_base64="xx+vRlfG+/KUMdANsZIc7AhzLqw=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKewGQY9BLx4jmAckS5id9CZjZmeXmVkhLMFf8Kp3b+LVb/HqlzhJ9qCJBQ1FVTfVVJAIro3rfjmFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Gbmtx9RaR7LezNJ0I/oUPKQM2qs1OqhEP1av1xxq+4cZJV4OalAjka//N0bxCyNUBomqNZdz02Mn1FlOBM4LfVSjQllYzrErqWSRqj9bP7tlJxZZUDCWNmRhszV3xcZjbSeRIHdjKgZ6WVvJv7rBdFSsgmv/IzLJDUo2SI4TAUxMZlVQQZcITNiYgllitvfCRtRRZmxhZVsKd5yBaukVat6btW7u6jUr/N6inACp3AOHlxCHW6hAU1g8ADP8AKvzpPz5rw7H4vVgpPfHMMfOJ8/ijiVhg==</latexit><latexit sha1_base64="xx+vRlfG+/KUMdANsZIc7AhzLqw=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKewGQY9BLx4jmAckS5id9CZjZmeXmVkhLMFf8Kp3b+LVb/HqlzhJ9qCJBQ1FVTfVVJAIro3rfjmFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Gbmtx9RaR7LezNJ0I/oUPKQM2qs1OqhEP1av1xxq+4cZJV4OalAjka//N0bxCyNUBomqNZdz02Mn1FlOBM4LfVSjQllYzrErqWSRqj9bP7tlJxZZUDCWNmRhszV3xcZjbSeRIHdjKgZ6WVvJv7rBdFSsgmv/IzLJDUo2SI4TAUxMZlVQQZcITNiYgllitvfCRtRRZmxhZVsKd5yBaukVat6btW7u6jUr/N6inACp3AOHlxCHW6hAU1g8ADP8AKvzpPz5rw7H4vVgpPfHMMfOJ8/ijiVhg==</latexit> n2<latexit sha1_base64="LVlZqkyUUwwivewzBxJfdeyse2A=">AAAB+nicbVDLSgMxFL2pr1pfVZdugkVwVWaKoMuiG5cV7QPaoWTSTBuaZIYkI5Sxn+BW9+7ErT/j1i8xbWehrQcuHM65l3M5YSK4sZ73hQpr6xubW8Xt0s7u3v5B+fCoZeJUU9aksYh1JySGCa5Y03IrWCfRjMhQsHY4vpn57UemDY/Vg50kLJBkqHjEKbFOulf9Wr9c8areHHiV+DmpQI5Gv/zdG8Q0lUxZKogxXd9LbJARbTkVbFrqpYYlhI7JkHUdVUQyE2TzV6f4zCkDHMXajbJ4rv6+yIg0ZiJDtymJHZllbyb+64VyKdlGV0HGVZJapugiOEoFtjGe9YAHXDNqxcQRQjV3v2M6IppQ69oquVL85QpWSatW9b2qf3dRqV/n9RThBE7hHHy4hDrcQgOaQGEIz/ACr+gJvaF39LFYLaD85hj+AH3+AD6wlD0=</latexit><latexit sha1_base64="LVlZqkyUUwwivewzBxJfdeyse2A=">AAAB+nicbVDLSgMxFL2pr1pfVZdugkVwVWaKoMuiG5cV7QPaoWTSTBuaZIYkI5Sxn+BW9+7ErT/j1i8xbWehrQcuHM65l3M5YSK4sZ73hQpr6xubW8Xt0s7u3v5B+fCoZeJUU9aksYh1JySGCa5Y03IrWCfRjMhQsHY4vpn57UemDY/Vg50kLJBkqHjEKbFOulf9Wr9c8areHHiV+DmpQI5Gv/zdG8Q0lUxZKogxXd9LbJARbTkVbFrqpYYlhI7JkHUdVUQyE2TzV6f4zCkDHMXajbJ4rv6+yIg0ZiJDtymJHZllbyb+64VyKdlGV0HGVZJapugiOEoFtjGe9YAHXDNqxcQRQjV3v2M6IppQ69oquVL85QpWSatW9b2qf3dRqV/n9RThBE7hHHy4hDrcQgOaQGEIz/ACr+gJvaF39LFYLaD85hj+AH3+AD6wlD0=</latexit><latexit sha1_base64="LVlZqkyUUwwivewzBxJfdeyse2A=">AAAB+nicbVDLSgMxFL2pr1pfVZdugkVwVWaKoMuiG5cV7QPaoWTSTBuaZIYkI5Sxn+BW9+7ErT/j1i8xbWehrQcuHM65l3M5YSK4sZ73hQpr6xubW8Xt0s7u3v5B+fCoZeJUU9aksYh1JySGCa5Y03IrWCfRjMhQsHY4vpn57UemDY/Vg50kLJBkqHjEKbFOulf9Wr9c8areHHiV+DmpQI5Gv/zdG8Q0lUxZKogxXd9LbJARbTkVbFrqpYYlhI7JkHUdVUQyE2TzV6f4zCkDHMXajbJ4rv6+yIg0ZiJDtymJHZllbyb+64VyKdlGV0HGVZJapugiOEoFtjGe9YAHXDNqxcQRQjV3v2M6IppQ69oquVL85QpWSatW9b2qf3dRqV/n9RThBE7hHHy4hDrcQgOaQGEIz/ACr+gJvaF39LFYLaD85hj+AH3+AD6wlD0=</latexit><latexit sha1_base64="LVlZqkyUUwwivewzBxJfdeyse2A=">AAAB+nicbVDLSgMxFL2pr1pfVZdugkVwVWaKoMuiG5cV7QPaoWTSTBuaZIYkI5Sxn+BW9+7ErT/j1i8xbWehrQcuHM65l3M5YSK4sZ73hQpr6xubW8Xt0s7u3v5B+fCoZeJUU9aksYh1JySGCa5Y03IrWCfRjMhQsHY4vpn57UemDY/Vg50kLJBkqHjEKbFOulf9Wr9c8areHHiV+DmpQI5Gv/zdG8Q0lUxZKogxXd9LbJARbTkVbFrqpYYlhI7JkHUdVUQyE2TzV6f4zCkDHMXajbJ4rv6+yIg0ZiJDtymJHZllbyb+64VyKdlGV0HGVZJapugiOEoFtjGe9YAHXDNqxcQRQjV3v2M6IppQ69oquVL85QpWSatW9b2qf3dRqV/n9RThBE7hHHy4hDrcQgOaQGEIz/ACr+gJvaF39LFYLaD85hj+AH3+AD6wlD0=</latexit> `3<latexit sha1_base64="1fiJpXzKJyzZjXax2Hf9Utae4IA=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyqoMegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL3zXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d1GpXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AIvMlYc=</latexit><latexit sha1_base64="1fiJpXzKJyzZjXax2Hf9Utae4IA=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyqoMegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL3zXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d1GpXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AIvMlYc=</latexit><latexit sha1_base64="1fiJpXzKJyzZjXax2Hf9Utae4IA=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyqoMegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL3zXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d1GpXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AIvMlYc=</latexit><latexit sha1_base64="1fiJpXzKJyzZjXax2Hf9Utae4IA=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKeyqoMegF48RzAOSJcxOepMxM7vLzKwQluAveNW7N/Hqt3j1S5wke9DEgoaiqptqKkgE18Z1v5zCyura+kZxs7S1vbO7V94/aOo4VQwbLBaxagdUo+ARNgw3AtuJQioDga1gdDP1W4+oNI+jezNO0Jd0EPGQM2qs1OyiEL3zXrniVt0ZyDLxclKBHPVe+bvbj1kqMTJMUK07npsYP6PKcCZwUuqmGhPKRnSAHUsjKlH72ezbCTmxSp+EsbITGTJTf19kVGo9loHdlNQM9aI3Ff/1ArmQbMIrP+NRkhqM2Dw4TAUxMZlWQfpcITNibAllitvfCRtSRZmxhZVsKd5iBcukeVb13Kp3d1GpXef1FOEIjuEUPLiEGtxCHRrA4AGe4QVenSfnzXl3PuarBSe/OYQ/cD5/AIvMlYc=</latexit> `4<latexit sha1_base64="wwECV7GFS15ao7B8GVdRIhs9WFk=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKexKQI9BLx4jmAckS5id9CZjZmeXmVkhLMFf8Kp3b+LVb/HqlzhJ9qCJBQ1FVTfVVJAIro3rfjmFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Gbmtx9RaR7LezNJ0I/oUPKQM2qs1OqhEP1av1xxq+4cZJV4OalAjka//N0bxCyNUBomqNZdz02Mn1FlOBM4LfVSjQllYzrErqWSRqj9bP7tlJxZZUDCWNmRhszV3xcZjbSeRIHdjKgZ6WVvJv7rBdFSsgmv/IzLJDUo2SI4TAUxMZlVQQZcITNiYgllitvfCRtRRZmxhZVsKd5yBaukdVH13Kp3V6vUr/N6inACp3AOHlxCHW6hAU1g8ADP8AKvzpPz5rw7H4vVgpPfHMMfOJ8/jWCViA==</latexit><latexit sha1_base64="wwECV7GFS15ao7B8GVdRIhs9WFk=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKexKQI9BLx4jmAckS5id9CZjZmeXmVkhLMFf8Kp3b+LVb/HqlzhJ9qCJBQ1FVTfVVJAIro3rfjmFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Gbmtx9RaR7LezNJ0I/oUPKQM2qs1OqhEP1av1xxq+4cZJV4OalAjka//N0bxCyNUBomqNZdz02Mn1FlOBM4LfVSjQllYzrErqWSRqj9bP7tlJxZZUDCWNmRhszV3xcZjbSeRIHdjKgZ6WVvJv7rBdFSsgmv/IzLJDUo2SI4TAUxMZlVQQZcITNiYgllitvfCRtRRZmxhZVsKd5yBaukdVH13Kp3V6vUr/N6inACp3AOHlxCHW6hAU1g8ADP8AKvzpPz5rw7H4vVgpPfHMMfOJ8/jWCViA==</latexit><latexit sha1_base64="wwECV7GFS15ao7B8GVdRIhs9WFk=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKexKQI9BLx4jmAckS5id9CZjZmeXmVkhLMFf8Kp3b+LVb/HqlzhJ9qCJBQ1FVTfVVJAIro3rfjmFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Gbmtx9RaR7LezNJ0I/oUPKQM2qs1OqhEP1av1xxq+4cZJV4OalAjka//N0bxCyNUBomqNZdz02Mn1FlOBM4LfVSjQllYzrErqWSRqj9bP7tlJxZZUDCWNmRhszV3xcZjbSeRIHdjKgZ6WVvJv7rBdFSsgmv/IzLJDUo2SI4TAUxMZlVQQZcITNiYgllitvfCRtRRZmxhZVsKd5yBaukdVH13Kp3V6vUr/N6inACp3AOHlxCHW6hAU1g8ADP8AKvzpPz5rw7H4vVgpPfHMMfOJ8/jWCViA==</latexit><latexit sha1_base64="wwECV7GFS15ao7B8GVdRIhs9WFk=">AAAB/XicbVDLSgNBEOyNrxhfUY9eBoPgKexKQI9BLx4jmAckS5id9CZjZmeXmVkhLMFf8Kp3b+LVb/HqlzhJ9qCJBQ1FVTfVVJAIro3rfjmFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Gbmtx9RaR7LezNJ0I/oUPKQM2qs1OqhEP1av1xxq+4cZJV4OalAjka//N0bxCyNUBomqNZdz02Mn1FlOBM4LfVSjQllYzrErqWSRqj9bP7tlJxZZUDCWNmRhszV3xcZjbSeRIHdjKgZ6WVvJv7rBdFSsgmv/IzLJDUo2SI4TAUxMZlVQQZcITNiYgllitvfCRtRRZmxhZVsKd5yBaukdVH13Kp3V6vUr/N6inACp3AOHlxCHW6hAU1g8ADP8AKvzpPz5rw7H4vVgpPfHMMfOJ8/jWCViA==</latexit> n3<latexit sha1_base64="70h+QPp6c8pbvwZHIxSV9o2SlGE=">AAAB+nicbVC7SgNBFL0bXzG+opY2g0GwCrsqaBm0sYxoHpAsYXYymwyZxzIzK4Q1n2CrvZ3Y+jO2fomTZAtNPHDhcM69nMuJEs6M9f0vr7Cyura+UdwsbW3v7O6V9w+aRqWa0AZRXOl2hA3lTNKGZZbTdqIpFhGnrWh0M/Vbj1QbpuSDHSc0FHggWcwItk66l73zXrniV/0Z0DIJclKBHPVe+bvbVyQVVFrCsTGdwE9smGFtGeF0UuqmhiaYjPCAdhyVWFATZrNXJ+jEKX0UK+1GWjRTf19kWBgzFpHbFNgOzaI3Ff/1IrGQbOOrMGMySS2VZB4cpxxZhaY9oD7TlFg+dgQTzdzviAyxxsS6tkqulGCxgmXSPKsGfjW4u6jUrvN6inAEx3AKAVxCDW6hDg0gMIBneIFX78l78969j/lqwctvDuEPvM8fQESUPg==</latexit><latexit sha1_base64="70h+QPp6c8pbvwZHIxSV9o2SlGE=">AAAB+nicbVC7SgNBFL0bXzG+opY2g0GwCrsqaBm0sYxoHpAsYXYymwyZxzIzK4Q1n2CrvZ3Y+jO2fomTZAtNPHDhcM69nMuJEs6M9f0vr7Cyura+UdwsbW3v7O6V9w+aRqWa0AZRXOl2hA3lTNKGZZbTdqIpFhGnrWh0M/Vbj1QbpuSDHSc0FHggWcwItk66l73zXrniV/0Z0DIJclKBHPVe+bvbVyQVVFrCsTGdwE9smGFtGeF0UuqmhiaYjPCAdhyVWFATZrNXJ+jEKX0UK+1GWjRTf19kWBgzFpHbFNgOzaI3Ff/1IrGQbOOrMGMySS2VZB4cpxxZhaY9oD7TlFg+dgQTzdzviAyxxsS6tkqulGCxgmXSPKsGfjW4u6jUrvN6inAEx3AKAVxCDW6hDg0gMIBneIFX78l78969j/lqwctvDuEPvM8fQESUPg==</latexit><latexit sha1_base64="70h+QPp6c8pbvwZHIxSV9o2SlGE=">AAAB+nicbVC7SgNBFL0bXzG+opY2g0GwCrsqaBm0sYxoHpAsYXYymwyZxzIzK4Q1n2CrvZ3Y+jO2fomTZAtNPHDhcM69nMuJEs6M9f0vr7Cyura+UdwsbW3v7O6V9w+aRqWa0AZRXOl2hA3lTNKGZZbTdqIpFhGnrWh0M/Vbj1QbpuSDHSc0FHggWcwItk66l73zXrniV/0Z0DIJclKBHPVe+bvbVyQVVFrCsTGdwE9smGFtGeF0UuqmhiaYjPCAdhyVWFATZrNXJ+jEKX0UK+1GWjRTf19kWBgzFpHbFNgOzaI3Ff/1IrGQbOOrMGMySS2VZB4cpxxZhaY9oD7TlFg+dgQTzdzviAyxxsS6tkqulGCxgmXSPKsGfjW4u6jUrvN6inAEx3AKAVxCDW6hDg0gMIBneIFX78l78969j/lqwctvDuEPvM8fQESUPg==</latexit><latexit sha1_base64="70h+QPp6c8pbvwZHIxSV9o2SlGE=">AAAB+nicbVC7SgNBFL0bXzG+opY2g0GwCrsqaBm0sYxoHpAsYXYymwyZxzIzK4Q1n2CrvZ3Y+jO2fomTZAtNPHDhcM69nMuJEs6M9f0vr7Cyura+UdwsbW3v7O6V9w+aRqWa0AZRXOl2hA3lTNKGZZbTdqIpFhGnrWh0M/Vbj1QbpuSDHSc0FHggWcwItk66l73zXrniV/0Z0DIJclKBHPVe+bvbVyQVVFrCsTGdwE9smGFtGeF0UuqmhiaYjPCAdhyVWFATZrNXJ+jEKX0UK+1GWjRTf19kWBgzFpHbFNgOzaI3Ff/1IrGQbOOrMGMySS2VZB4cpxxZhaY9oD7TlFg+dgQTzdzviAyxxsS6tkqulGCxgmXSPKsGfjW4u6jUrvN6inAEx3AKAVxCDW6hDg0gMIBneIFX78l78969j/lqwctvDuEPvM8fQESUPg==</latexit> x1<latexit sha1_base64="sGJ7Rlh7M0CzOKNI4jm2qKakYVA=">AAAB+nicbVDLSgMxFL1TX7W+qi7dBIvgqkxE0GXRjcuK9gHtUDJppg1NMkOSEcvYT3Cre3fi1p9x65eYtrPQ1gMXDufcy7mcMBHcWN//8gorq2vrG8XN0tb2zu5eef+gaeJUU9agsYh1OySGCa5Yw3IrWDvRjMhQsFY4up76rQemDY/VvR0nLJBkoHjEKbFOunvs4V654lf9GdAywTmpQI56r/zd7cc0lUxZKogxHewnNsiItpwKNil1U8MSQkdkwDqOKiKZCbLZqxN04pQ+imLtRlk0U39fZEQaM5ah25TEDs2iNxX/9UK5kGyjyyDjKkktU3QeHKUC2RhNe0B9rhm1YuwIoZq73xEdEk2odW2VXCl4sYJl0jyrYr+Kb88rtau8niIcwTGcAoYLqMEN1KEBFAbwDC/w6j15b9679zFfLXj5zSH8gff5A0z4lEY=</latexit><latexit sha1_base64="sGJ7Rlh7M0CzOKNI4jm2qKakYVA=">AAAB+nicbVDLSgMxFL1TX7W+qi7dBIvgqkxE0GXRjcuK9gHtUDJppg1NMkOSEcvYT3Cre3fi1p9x65eYtrPQ1gMXDufcy7mcMBHcWN//8gorq2vrG8XN0tb2zu5eef+gaeJUU9agsYh1OySGCa5Yw3IrWDvRjMhQsFY4up76rQemDY/VvR0nLJBkoHjEKbFOunvs4V654lf9GdAywTmpQI56r/zd7cc0lUxZKogxHewnNsiItpwKNil1U8MSQkdkwDqOKiKZCbLZqxN04pQ+imLtRlk0U39fZEQaM5ah25TEDs2iNxX/9UK5kGyjyyDjKkktU3QeHKUC2RhNe0B9rhm1YuwIoZq73xEdEk2odW2VXCl4sYJl0jyrYr+Kb88rtau8niIcwTGcAoYLqMEN1KEBFAbwDC/w6j15b9679zFfLXj5zSH8gff5A0z4lEY=</latexit><latexit sha1_base64="sGJ7Rlh7M0CzOKNI4jm2qKakYVA=">AAAB+nicbVDLSgMxFL1TX7W+qi7dBIvgqkxE0GXRjcuK9gHtUDJppg1NMkOSEcvYT3Cre3fi1p9x65eYtrPQ1gMXDufcy7mcMBHcWN//8gorq2vrG8XN0tb2zu5eef+gaeJUU9agsYh1OySGCa5Yw3IrWDvRjMhQsFY4up76rQemDY/VvR0nLJBkoHjEKbFOunvs4V654lf9GdAywTmpQI56r/zd7cc0lUxZKogxHewnNsiItpwKNil1U8MSQkdkwDqOKiKZCbLZqxN04pQ+imLtRlk0U39fZEQaM5ah25TEDs2iNxX/9UK5kGyjyyDjKkktU3QeHKUC2RhNe0B9rhm1YuwIoZq73xEdEk2odW2VXCl4sYJl0jyrYr+Kb88rtau8niIcwTGcAoYLqMEN1KEBFAbwDC/w6j15b9679zFfLXj5zSH8gff5A0z4lEY=</latexit><latexit sha1_base64="sGJ7Rlh7M0CzOKNI4jm2qKakYVA=">AAAB+nicbVDLSgMxFL1TX7W+qi7dBIvgqkxE0GXRjcuK9gHtUDJppg1NMkOSEcvYT3Cre3fi1p9x65eYtrPQ1gMXDufcy7mcMBHcWN//8gorq2vrG8XN0tb2zu5eef+gaeJUU9agsYh1OySGCa5Yw3IrWDvRjMhQsFY4up76rQemDY/VvR0nLJBkoHjEKbFOunvs4V654lf9GdAywTmpQI56r/zd7cc0lUxZKogxHewnNsiItpwKNil1U8MSQkdkwDqOKiKZCbLZqxN04pQ+imLtRlk0U39fZEQaM5ah25TEDs2iNxX/9UK5kGyjyyDjKkktU3QeHKUC2RhNe0B9rhm1YuwIoZq73xEdEk2odW2VXCl4sYJl0jyrYr+Kb88rtau8niIcwTGcAoYLqMEN1KEBFAbwDC/w6j15b9679zFfLXj5zSH8gff5A0z4lEY=</latexit> x2<latexit sha1_base64="iO1hVqVh56H563bnCTDCXZls070=">AAAB+nicbVDLSgMxFL3xWeur6tJNsAiuykwRdFl047KifUA7lEyaaUOTzJBkxDL2E9zq3p249Wfc+iWm7Sy09cCFwzn3ci4nTAQ31vO+0Mrq2vrGZmGruL2zu7dfOjhsmjjVlDVoLGLdDolhgivWsNwK1k40IzIUrBWOrqd+64Fpw2N1b8cJCyQZKB5xSqyT7h571V6p7FW8GfAy8XNShhz1Xum7249pKpmyVBBjOr6X2CAj2nIq2KTYTQ1LCB2RAes4qohkJshmr07wqVP6OIq1G2XxTP19kRFpzFiGblMSOzSL3lT81wvlQrKNLoOMqyS1TNF5cJQKbGM87QH3uWbUirEjhGrufsd0SDSh1rVVdKX4ixUsk2a14nsV//a8XLvK6ynAMZzAGfhwATW4gTo0gMIAnuEFXtETekPv6GO+uoLymyP4A/T5A06MlEc=</latexit><latexit sha1_base64="iO1hVqVh56H563bnCTDCXZls070=">AAAB+nicbVDLSgMxFL3xWeur6tJNsAiuykwRdFl047KifUA7lEyaaUOTzJBkxDL2E9zq3p249Wfc+iWm7Sy09cCFwzn3ci4nTAQ31vO+0Mrq2vrGZmGruL2zu7dfOjhsmjjVlDVoLGLdDolhgivWsNwK1k40IzIUrBWOrqd+64Fpw2N1b8cJCyQZKB5xSqyT7h571V6p7FW8GfAy8XNShhz1Xum7249pKpmyVBBjOr6X2CAj2nIq2KTYTQ1LCB2RAes4qohkJshmr07wqVP6OIq1G2XxTP19kRFpzFiGblMSOzSL3lT81wvlQrKNLoOMqyS1TNF5cJQKbGM87QH3uWbUirEjhGrufsd0SDSh1rVVdKX4ixUsk2a14nsV//a8XLvK6ynAMZzAGfhwATW4gTo0gMIAnuEFXtETekPv6GO+uoLymyP4A/T5A06MlEc=</latexit><latexit sha1_base64="iO1hVqVh56H563bnCTDCXZls070=">AAAB+nicbVDLSgMxFL3xWeur6tJNsAiuykwRdFl047KifUA7lEyaaUOTzJBkxDL2E9zq3p249Wfc+iWm7Sy09cCFwzn3ci4nTAQ31vO+0Mrq2vrGZmGruL2zu7dfOjhsmjjVlDVoLGLdDolhgivWsNwK1k40IzIUrBWOrqd+64Fpw2N1b8cJCyQZKB5xSqyT7h571V6p7FW8GfAy8XNShhz1Xum7249pKpmyVBBjOr6X2CAj2nIq2KTYTQ1LCB2RAes4qohkJshmr07wqVP6OIq1G2XxTP19kRFpzFiGblMSOzSL3lT81wvlQrKNLoOMqyS1TNF5cJQKbGM87QH3uWbUirEjhGrufsd0SDSh1rVVdKX4ixUsk2a14nsV//a8XLvK6ynAMZzAGfhwATW4gTo0gMIAnuEFXtETekPv6GO+uoLymyP4A/T5A06MlEc=</latexit><latexit sha1_base64="iO1hVqVh56H563bnCTDCXZls070=">AAAB+nicbVDLSgMxFL3xWeur6tJNsAiuykwRdFl047KifUA7lEyaaUOTzJBkxDL2E9zq3p249Wfc+iWm7Sy09cCFwzn3ci4nTAQ31vO+0Mrq2vrGZmGruL2zu7dfOjhsmjjVlDVoLGLdDolhgivWsNwK1k40IzIUrBWOrqd+64Fpw2N1b8cJCyQZKB5xSqyT7h571V6p7FW8GfAy8XNShhz1Xum7249pKpmyVBBjOr6X2CAj2nIq2KTYTQ1LCB2RAes4qohkJshmr07wqVP6OIq1G2XxTP19kRFpzFiGblMSOzSL3lT81wvlQrKNLoOMqyS1TNF5cJQKbGM87QH3uWbUirEjhGrufsd0SDSh1rVVdKX4ixUsk2a14nsV//a8XLvK6ynAMZzAGfhwATW4gTo0gMIAnuEFXtETekPv6GO+uoLymyP4A/T5A06MlEc=</latexit> dn0<latexit sha1_base64="YAr9h4HXgUn70stuHGnvQ4SOiR8=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8XPpr65QqyGw1UrdYgsmvIdd26IejCrTcc6NhojgpYouWXPwdhQrKYCk04VqrvoFR7OZaaEU6npUGmaIrJGA9p31CBY6q8fH7uFJ4ZJYRRIk0JDefqz4kcx0pN4sB0xliP1Ko3E//0gnhls47qXs5EmmkqyGJxlHGoEzjLAoZMUqL5xBBMJDO3QzLCEhNtEiuZUL4/h/+Tjms7yHZuq5Xm1TKeIjgBp+AcOOASNMENaIE2IGAMHsETeLYerBfr1XpbtBas5cwx+AXr/QsAXZZn</latexit><latexit sha1_base64="YAr9h4HXgUn70stuHGnvQ4SOiR8=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8XPpr65QqyGw1UrdYgsmvIdd26IejCrTcc6NhojgpYouWXPwdhQrKYCk04VqrvoFR7OZaaEU6npUGmaIrJGA9p31CBY6q8fH7uFJ4ZJYRRIk0JDefqz4kcx0pN4sB0xliP1Ko3E//0gnhls47qXs5EmmkqyGJxlHGoEzjLAoZMUqL5xBBMJDO3QzLCEhNtEiuZUL4/h/+Tjms7yHZuq5Xm1TKeIjgBp+AcOOASNMENaIE2IGAMHsETeLYerBfr1XpbtBas5cwx+AXr/QsAXZZn</latexit><latexit sha1_base64="YAr9h4HXgUn70stuHGnvQ4SOiR8=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8XPpr65QqyGw1UrdYgsmvIdd26IejCrTcc6NhojgpYouWXPwdhQrKYCk04VqrvoFR7OZaaEU6npUGmaIrJGA9p31CBY6q8fH7uFJ4ZJYRRIk0JDefqz4kcx0pN4sB0xliP1Ko3E//0gnhls47qXs5EmmkqyGJxlHGoEzjLAoZMUqL5xBBMJDO3QzLCEhNtEiuZUL4/h/+Tjms7yHZuq5Xm1TKeIjgBp+AcOOASNMENaIE2IGAMHsETeLYerBfr1XpbtBas5cwx+AXr/QsAXZZn</latexit><latexit sha1_base64="YAr9h4HXgUn70stuHGnvQ4SOiR8=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8XPpr65QqyGw1UrdYgsmvIdd26IejCrTcc6NhojgpYouWXPwdhQrKYCk04VqrvoFR7OZaaEU6npUGmaIrJGA9p31CBY6q8fH7uFJ4ZJYRRIk0JDefqz4kcx0pN4sB0xliP1Ko3E//0gnhls47qXs5EmmkqyGJxlHGoEzjLAoZMUqL5xBBMJDO3QzLCEhNtEiuZUL4/h/+Tjms7yHZuq5Xm1TKeIjgBp+AcOOASNMENaIE2IGAMHsETeLYerBfr1XpbtBas5cwx+AXr/QsAXZZn</latexit> dn4<latexit sha1_base64="tB7a3mPJw8v8KXSV3nPzqr0D75E=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSYxxXZXdOOygn1AG8JkMm2HTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+YcqY0Qh9WYW19Y3OruF3a2d3bPygfHrVVkklCWyThieyGWFHOBG1ppjntppLiOOS0E46vZ37nnkrFEnGnJyn1YzwUbMAI1kbqREEuAm8alCvIrteR51UhsqvIdd2aIejCrdUd6NhojgpYohmUP/tRQrKYCk04VqrnoFT7OZaaEU6npX6maIrJGA9pz1CBY6r8fH7uFJ4ZJYKDRJoSGs7VnxM5jpWaxKHpjLEeqVVvJv7phfHKZj2o+TkTaaapIIvFg4xDncBZFjBikhLNJ4ZgIpm5HZIRlphok1jJhPL9OfyftF3bQbZz61UaV8t4iuAEnIJz4IBL0AA3oAlagIAxeARP4Nl6sF6sV+tt0VqwljPH4Bes9y8GsZZr</latexit><latexit sha1_base64="tB7a3mPJw8v8KXSV3nPzqr0D75E=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSYxxXZXdOOygn1AG8JkMm2HTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+YcqY0Qh9WYW19Y3OruF3a2d3bPygfHrVVkklCWyThieyGWFHOBG1ppjntppLiOOS0E46vZ37nnkrFEnGnJyn1YzwUbMAI1kbqREEuAm8alCvIrteR51UhsqvIdd2aIejCrdUd6NhojgpYohmUP/tRQrKYCk04VqrnoFT7OZaaEU6npX6maIrJGA9pz1CBY6r8fH7uFJ4ZJYKDRJoSGs7VnxM5jpWaxKHpjLEeqVVvJv7phfHKZj2o+TkTaaapIIvFg4xDncBZFjBikhLNJ4ZgIpm5HZIRlphok1jJhPL9OfyftF3bQbZz61UaV8t4iuAEnIJz4IBL0AA3oAlagIAxeARP4Nl6sF6sV+tt0VqwljPH4Bes9y8GsZZr</latexit><latexit sha1_base64="tB7a3mPJw8v8KXSV3nPzqr0D75E=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSYxxXZXdOOygn1AG8JkMm2HTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+YcqY0Qh9WYW19Y3OruF3a2d3bPygfHrVVkklCWyThieyGWFHOBG1ppjntppLiOOS0E46vZ37nnkrFEnGnJyn1YzwUbMAI1kbqREEuAm8alCvIrteR51UhsqvIdd2aIejCrdUd6NhojgpYohmUP/tRQrKYCk04VqrnoFT7OZaaEU6npX6maIrJGA9pz1CBY6r8fH7uFJ4ZJYKDRJoSGs7VnxM5jpWaxKHpjLEeqVVvJv7phfHKZj2o+TkTaaapIIvFg4xDncBZFjBikhLNJ4ZgIpm5HZIRlphok1jJhPL9OfyftF3bQbZz61UaV8t4iuAEnIJz4IBL0AA3oAlagIAxeARP4Nl6sF6sV+tt0VqwljPH4Bes9y8GsZZr</latexit><latexit sha1_base64="tB7a3mPJw8v8KXSV3nPzqr0D75E=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSYxxXZXdOOygn1AG8JkMm2HTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+YcqY0Qh9WYW19Y3OruF3a2d3bPygfHrVVkklCWyThieyGWFHOBG1ppjntppLiOOS0E46vZ37nnkrFEnGnJyn1YzwUbMAI1kbqREEuAm8alCvIrteR51UhsqvIdd2aIejCrdUd6NhojgpYohmUP/tRQrKYCk04VqrnoFT7OZaaEU6npX6maIrJGA9pz1CBY6r8fH7uFJ4ZJYKDRJoSGs7VnxM5jpWaxKHpjLEeqVVvJv7phfHKZj2o+TkTaaapIIvFg4xDncBZFjBikhLNJ4ZgIpm5HZIRlphok1jJhPL9OfyftF3bQbZz61UaV8t4iuAEnIJz4IBL0AA3oAlagIAxeARP4Nl6sF6sV+tt0VqwljPH4Bes9y8GsZZr</latexit> dn1<latexit sha1_base64="d5TWhZzhDIbIwXRUu9+oVadQK90=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8XvjP1yxVkNxqoWq1BZNeQ67p1Q9CFW2840LHRHBWwRMsvfw7ChGQxFZpwrFTfQan2ciw1I5xOS4NM0RSTMR7SvqECx1R5+fzcKTwzSgijRJoSGs7VnxM5jpWaxIHpjLEeqVVvJv7pBfHKZh3VvZyJNNNUkMXiKONQJ3CWBQyZpETziSGYSGZuh2SEJSbaJFYyoXx/Dv8nHdd2kO3cVivNq2U8RXACTsE5cMAlaIIb0AJtQMAYPIIn8Gw9WC/Wq/W2aC1Yy5lj8AvW+xcB8pZo</latexit><latexit sha1_base64="d5TWhZzhDIbIwXRUu9+oVadQK90=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8XvjP1yxVkNxqoWq1BZNeQ67p1Q9CFW2840LHRHBWwRMsvfw7ChGQxFZpwrFTfQan2ciw1I5xOS4NM0RSTMR7SvqECx1R5+fzcKTwzSgijRJoSGs7VnxM5jpWaxIHpjLEeqVVvJv7pBfHKZh3VvZyJNNNUkMXiKONQJ3CWBQyZpETziSGYSGZuh2SEJSbaJFYyoXx/Dv8nHdd2kO3cVivNq2U8RXACTsE5cMAlaIIb0AJtQMAYPIIn8Gw9WC/Wq/W2aC1Yy5lj8AvW+xcB8pZo</latexit><latexit sha1_base64="d5TWhZzhDIbIwXRUu9+oVadQK90=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8XvjP1yxVkNxqoWq1BZNeQ67p1Q9CFW2840LHRHBWwRMsvfw7ChGQxFZpwrFTfQan2ciw1I5xOS4NM0RSTMR7SvqECx1R5+fzcKTwzSgijRJoSGs7VnxM5jpWaxIHpjLEeqVVvJv7pBfHKZh3VvZyJNNNUkMXiKONQJ3CWBQyZpETziSGYSGZuh2SEJSbaJFYyoXx/Dv8nHdd2kO3cVivNq2U8RXACTsE5cMAlaIIb0AJtQMAYPIIn8Gw9WC/Wq/W2aC1Yy5lj8AvW+xcB8pZo</latexit><latexit sha1_base64="d5TWhZzhDIbIwXRUu9+oVadQK90=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8XvjP1yxVkNxqoWq1BZNeQ67p1Q9CFW2840LHRHBWwRMsvfw7ChGQxFZpwrFTfQan2ciw1I5xOS4NM0RSTMR7SvqECx1R5+fzcKTwzSgijRJoSGs7VnxM5jpWaxIHpjLEeqVVvJv7pBfHKZh3VvZyJNNNUkMXiKONQJ3CWBQyZpETziSGYSGZuh2SEJSbaJFYyoXx/Dv8nHdd2kO3cVivNq2U8RXACTsE5cMAlaIIb0AJtQMAYPIIn8Gw9WC/Wq/W2aC1Yy5lj8AvW+xcB8pZo</latexit> dn2<latexit sha1_base64="ffiueiebPCrCKMDMy/GagXBHKhw=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8Xvjv1yxVkNxqoWq1BZNeQ67p1Q9CFW2840LHRHBWwRMsvfw7ChGQxFZpwrFTfQan2ciw1I5xOS4NM0RSTMR7SvqECx1R5+fzcKTwzSgijRJoSGs7VnxM5jpWaxIHpjLEeqVVvJv7pBfHKZh3VvZyJNNNUkMXiKONQJ3CWBQyZpETziSGYSGZuh2SEJSbaJFYyoXx/Dv8nHdd2kO3cVivNq2U8RXACTsE5cMAlaIIb0AJtQMAYPIIn8Gw9WC/Wq/W2aC1Yy5lj8AvW+xcDh5Zp</latexit><latexit sha1_base64="ffiueiebPCrCKMDMy/GagXBHKhw=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8Xvjv1yxVkNxqoWq1BZNeQ67p1Q9CFW2840LHRHBWwRMsvfw7ChGQxFZpwrFTfQan2ciw1I5xOS4NM0RSTMR7SvqECx1R5+fzcKTwzSgijRJoSGs7VnxM5jpWaxIHpjLEeqVVvJv7pBfHKZh3VvZyJNNNUkMXiKONQJ3CWBQyZpETziSGYSGZuh2SEJSbaJFYyoXx/Dv8nHdd2kO3cVivNq2U8RXACTsE5cMAlaIIb0AJtQMAYPIIn8Gw9WC/Wq/W2aC1Yy5lj8AvW+xcDh5Zp</latexit><latexit sha1_base64="ffiueiebPCrCKMDMy/GagXBHKhw=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8Xvjv1yxVkNxqoWq1BZNeQ67p1Q9CFW2840LHRHBWwRMsvfw7ChGQxFZpwrFTfQan2ciw1I5xOS4NM0RSTMR7SvqECx1R5+fzcKTwzSgijRJoSGs7VnxM5jpWaxIHpjLEeqVVvJv7pBfHKZh3VvZyJNNNUkMXiKONQJ3CWBQyZpETziSGYSGZuh2SEJSbaJFYyoXx/Dv8nHdd2kO3cVivNq2U8RXACTsE5cMAlaIIb0AJtQMAYPIIn8Gw9WC/Wq/W2aC1Yy5lj8AvW+xcDh5Zp</latexit><latexit sha1_base64="ffiueiebPCrCKMDMy/GagXBHKhw=">AAAB/nicdVDLSsNAFJ3UV62vqks3g0VwFSaxxXZXdOOygn1AG8JkMmmHTiZhZiKUUPAX3Orenbj1V9z6JU4fghY9cOFwzr3ce0+QcqY0Qh9WYW19Y3OruF3a2d3bPygfHnVUkklC2yThiewFWFHOBG1rpjntpZLiOOC0G4yvZ373nkrFEnGnJyn1YjwULGIEayN1Qz8Xvjv1yxVkNxqoWq1BZNeQ67p1Q9CFW2840LHRHBWwRMsvfw7ChGQxFZpwrFTfQan2ciw1I5xOS4NM0RSTMR7SvqECx1R5+fzcKTwzSgijRJoSGs7VnxM5jpWaxIHpjLEeqVVvJv7pBfHKZh3VvZyJNNNUkMXiKONQJ3CWBQyZpETziSGYSGZuh2SEJSbaJFYyoXx/Dv8nHdd2kO3cVivNq2U8RXACTsE5cMAlaIIb0AJtQMAYPIIn8Gw9WC/Wq/W2aC1Yy5lj8AvW+xcDh5Zp</latexit> dn3<latexit sha1_base64="nSO8qFZKcyDEg6yWfnpy67LEjMY=">AAAB/nicdVDLSsNAFJ34rPVVdelmsAiuwiRtsd0V3bisYB/QhjCZTNqhk0mYmQglFPwFt7p3J279Fbd+idOHoEUPXDiccy/33hOknCmN0Ie1tr6xubVd2Cnu7u0fHJaOjjsqySShbZLwRPYCrChngrY105z2UklxHHDaDcbXM797T6ViibjTk5R6MR4KFjGCtZG6oZ8LvzL1S2VkNxqoWq1BZNeQ67p1Q1DFrTcc6NhojjJYouWXPgdhQrKYCk04VqrvoFR7OZaaEU6nxUGmaIrJGA9p31CBY6q8fH7uFJ4bJYRRIk0JDefqz4kcx0pN4sB0xliP1Ko3E//0gnhls47qXs5EmmkqyGJxlHGoEzjLAoZMUqL5xBBMJDO3QzLCEhNtEiuaUL4/h/+Tjms7yHZuq+Xm1TKeAjgFZ+ACOOASNMENaIE2IGAMHsETeLYerBfr1XpbtK5Zy5kT8AvW+xcFHJZq</latexit><latexit sha1_base64="nSO8qFZKcyDEg6yWfnpy67LEjMY=">AAAB/nicdVDLSsNAFJ34rPVVdelmsAiuwiRtsd0V3bisYB/QhjCZTNqhk0mYmQglFPwFt7p3J279Fbd+idOHoEUPXDiccy/33hOknCmN0Ie1tr6xubVd2Cnu7u0fHJaOjjsqySShbZLwRPYCrChngrY105z2UklxHHDaDcbXM797T6ViibjTk5R6MR4KFjGCtZG6oZ8LvzL1S2VkNxqoWq1BZNeQ67p1Q1DFrTcc6NhojjJYouWXPgdhQrKYCk04VqrvoFR7OZaaEU6nxUGmaIrJGA9p31CBY6q8fH7uFJ4bJYRRIk0JDefqz4kcx0pN4sB0xliP1Ko3E//0gnhls47qXs5EmmkqyGJxlHGoEzjLAoZMUqL5xBBMJDO3QzLCEhNtEiuaUL4/h/+Tjms7yHZuq+Xm1TKeAjgFZ+ACOOASNMENaIE2IGAMHsETeLYerBfr1XpbtK5Zy5kT8AvW+xcFHJZq</latexit><latexit sha1_base64="nSO8qFZKcyDEg6yWfnpy67LEjMY=">AAAB/nicdVDLSsNAFJ34rPVVdelmsAiuwiRtsd0V3bisYB/QhjCZTNqhk0mYmQglFPwFt7p3J279Fbd+idOHoEUPXDiccy/33hOknCmN0Ie1tr6xubVd2Cnu7u0fHJaOjjsqySShbZLwRPYCrChngrY105z2UklxHHDaDcbXM797T6ViibjTk5R6MR4KFjGCtZG6oZ8LvzL1S2VkNxqoWq1BZNeQ67p1Q1DFrTcc6NhojjJYouWXPgdhQrKYCk04VqrvoFR7OZaaEU6nxUGmaIrJGA9p31CBY6q8fH7uFJ4bJYRRIk0JDefqz4kcx0pN4sB0xliP1Ko3E//0gnhls47qXs5EmmkqyGJxlHGoEzjLAoZMUqL5xBBMJDO3QzLCEhNtEiuaUL4/h/+Tjms7yHZuq+Xm1TKeAjgFZ+ACOOASNMENaIE2IGAMHsETeLYerBfr1XpbtK5Zy5kT8AvW+xcFHJZq</latexit><latexit sha1_base64="nSO8qFZKcyDEg6yWfnpy67LEjMY=">AAAB/nicdVDLSsNAFJ34rPVVdelmsAiuwiRtsd0V3bisYB/QhjCZTNqhk0mYmQglFPwFt7p3J279Fbd+idOHoEUPXDiccy/33hOknCmN0Ie1tr6xubVd2Cnu7u0fHJaOjjsqySShbZLwRPYCrChngrY105z2UklxHHDaDcbXM797T6ViibjTk5R6MR4KFjGCtZG6oZ8LvzL1S2VkNxqoWq1BZNeQ67p1Q1DFrTcc6NhojjJYouWXPgdhQrKYCk04VqrvoFR7OZaaEU6nxUGmaIrJGA9p31CBY6q8fH7uFJ4bJYRRIk0JDefqz4kcx0pN4sB0xliP1Ko3E//0gnhls47qXs5EmmkqyGJxlHGoEzjLAoZMUqL5xBBMJDO3QzLCEhNtEiuaUL4/h/+Tjms7yHZuq+Xm1TKeAjgFZ+ACOOASNMENaIE2IGAMHsETeLYerBfr1XpbtK5Zy5kT8AvW+xcFHJZq</latexit> P(y | x)<latexit sha1_base64="UNRPnN0ig3hl+sy9EWTrYW1RcXM=">AAACAXicdZDLSgMxFIYzXmu9VV26CRahbkpGam13RTcuK9gLtkPJpJk2NMkMSUYsQ1e+glvduxO3Polbn8RMW0GL/hD4+c45nJPfjzjTBqEPZ2l5ZXVtPbOR3dza3tnN7e03dRgrQhsk5KFq+1hTziRtGGY4bUeKYuFz2vJHl2m9dUeVZqG8MeOIegIPJAsYwcai23ph3BWsD+9Perk8Kp4ht1ouQ1REyC1VXGuq1YqF0LUkVR7MVe/lPrv9kMSCSkM41rrjosh4CVaGEU4n2W6saYTJCA9ox1qJBdVeMr14Ao8t6cMgVPZJA6f050SChdZj4dtOgc1QL9ZS+GfNFwubTVDxEiaj2FBJZouDmEMTwjQO2GeKEsPH1mCimL0dkiFWmBgbWtaG8v1z+L9pnhZdVHSvS/naxTyeDDgER6AAXHAOauAK1EEDECDBI3gCz86D8+K8Om+z1iVnPnMAfsl5/wJZI5cV</latexit><latexit sha1_base64="UNRPnN0ig3hl+sy9EWTrYW1RcXM=">AAACAXicdZDLSgMxFIYzXmu9VV26CRahbkpGam13RTcuK9gLtkPJpJk2NMkMSUYsQ1e+glvduxO3Polbn8RMW0GL/hD4+c45nJPfjzjTBqEPZ2l5ZXVtPbOR3dza3tnN7e03dRgrQhsk5KFq+1hTziRtGGY4bUeKYuFz2vJHl2m9dUeVZqG8MeOIegIPJAsYwcai23ph3BWsD+9Perk8Kp4ht1ouQ1REyC1VXGuq1YqF0LUkVR7MVe/lPrv9kMSCSkM41rrjosh4CVaGEU4n2W6saYTJCA9ox1qJBdVeMr14Ao8t6cMgVPZJA6f050SChdZj4dtOgc1QL9ZS+GfNFwubTVDxEiaj2FBJZouDmEMTwjQO2GeKEsPH1mCimL0dkiFWmBgbWtaG8v1z+L9pnhZdVHSvS/naxTyeDDgER6AAXHAOauAK1EEDECDBI3gCz86D8+K8Om+z1iVnPnMAfsl5/wJZI5cV</latexit><latexit sha1_base64="UNRPnN0ig3hl+sy9EWTrYW1RcXM=">AAACAXicdZDLSgMxFIYzXmu9VV26CRahbkpGam13RTcuK9gLtkPJpJk2NMkMSUYsQ1e+glvduxO3Polbn8RMW0GL/hD4+c45nJPfjzjTBqEPZ2l5ZXVtPbOR3dza3tnN7e03dRgrQhsk5KFq+1hTziRtGGY4bUeKYuFz2vJHl2m9dUeVZqG8MeOIegIPJAsYwcai23ph3BWsD+9Perk8Kp4ht1ouQ1REyC1VXGuq1YqF0LUkVR7MVe/lPrv9kMSCSkM41rrjosh4CVaGEU4n2W6saYTJCA9ox1qJBdVeMr14Ao8t6cMgVPZJA6f050SChdZj4dtOgc1QL9ZS+GfNFwubTVDxEiaj2FBJZouDmEMTwjQO2GeKEsPH1mCimL0dkiFWmBgbWtaG8v1z+L9pnhZdVHSvS/naxTyeDDgER6AAXHAOauAK1EEDECDBI3gCz86D8+K8Om+z1iVnPnMAfsl5/wJZI5cV</latexit><latexit sha1_base64="UNRPnN0ig3hl+sy9EWTrYW1RcXM=">AAACAXicdZDLSgMxFIYzXmu9VV26CRahbkpGam13RTcuK9gLtkPJpJk2NMkMSUYsQ1e+glvduxO3Polbn8RMW0GL/hD4+c45nJPfjzjTBqEPZ2l5ZXVtPbOR3dza3tnN7e03dRgrQhsk5KFq+1hTziRtGGY4bUeKYuFz2vJHl2m9dUeVZqG8MeOIegIPJAsYwcai23ph3BWsD+9Perk8Kp4ht1ouQ1REyC1VXGuq1YqF0LUkVR7MVe/lPrv9kMSCSkM41rrjosh4CVaGEU4n2W6saYTJCA9ox1qJBdVeMr14Ao8t6cMgVPZJA6f050SChdZj4dtOgc1QL9ZS+GfNFwubTVDxEiaj2FBJZouDmEMTwjQO2GeKEsPH1mCimL0dkiFWmBgbWtaG8v1z+L9pnhZdVHSvS/naxTyeDDgER6AAXHAOauAK1EEDECDBI3gCz86D8+K8Om+z1iVnPnMAfsl5/wJZI5cV</latexit> Region-wise model 0 1 0 0 0 01 1 1 1 Edward Pyro Prob Torch BayesFlow / ( )
- 5. !5 ( ) (2005 2011) (2007 2011) (2018 ) AIP iPS (2018 ) ( ) (2005 2011) (2007 2011) JST CREST (2017 ) WPI (WPI-ICReDD) (2018 ) JST (2015 2018) :
- 6. !6 = ( ) Graph Networks
- 7. !6 = ( ) Graph Networks
- 8. !7 ? ? ?? ? ? ... ? Q. A B
- 10. !9 ? ? ? ?
- 11. : !10 Generic Object Recognition Speech Recognition Machine Translation Super-Resolution Imaging AI Game Players “ ” J’aime la musique I love music =
- 12. = ( ) !11 Get weight(g) and height(cm)
- 13. = ( ) !11 Get weight(g) and height(cm) 5 6.25 7.5 8.75 10 90112.5135157.5180 ● ● ●● ● ● ● ● ●● weight(g) height(cm) Apple Orange
- 14. = ( ) !11 Get weight(g) and height(cm) 5 6.25 7.5 8.75 10 90112.5135157.5180 ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● weight(g) height(cm) Apple Orange
- 15. = ( ) !11 Get weight(g) and height(cm) 5 6.25 7.5 8.75 10 90112.5135157.5180 ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● weight(g) height(cm) Apple Orange
- 16. = ( ) !11 Get weight(g) and height(cm) 5 6.25 7.5 8.75 10 90112.5135157.5180 ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● weight(g) height(cm) Apple Orange
- 17. = ( ) !11 Get weight(g) and height(cm) 5 6.25 7.5 8.75 10 90112.5135157.5180 ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● weight(g) height(cm) Apple Orange
- 18. = ( ) !11 Get weight(g) and height(cm) 5 6.25 7.5 8.75 10 90112.5135157.5180 ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● weight(g) height(cm) Apple Orange
- 19. = ( ) !11 Get weight(g) and height(cm) 5 6.25 7.5 8.75 10 90112.5135157.5180 ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● weight(g) height(cm) Apple Orange