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 b
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 b            x               x       x       x                                            x   x   x
 5a           x                                       x                       x                        x       x   x   x
 b    x               x       x       x       x               x       x                x   x   x   x       x               x
 6a   x       x       x       x       x       x       x       x       x       x        x   x   x   x   x   x   x   x   x   x
 b
 7a   x               x                       x                       x                                    x       x
 b            x               x       x               x       x               x        x   x   x   x   x       x       x   x
 8a   x               x               x       x                       x                    x               x       x   x   x
 b            x               x                       x       x               x        x       x   x   x       x
 9a                           x                                               x                        x   x   x   x
 b    x       x       x               x       x       x       x       x                x   x   x   x                   x   x
10a   x               x               x       x       x       x       x                x   x               x       x   x   x
 b            x               x                                               x                x   x   x       x
11a   x       x       x       x       x       x               x       x       x        x   x   x   x   x   x       x       x
 b                                                    x                                                        x       x
12a   x       x       x       x       x       x       x       x       x       x        x   x   x   x       x   x   x   x
 b                                                                                                     x                   x
13a                                   x       x                                                x           x               x
 b    x       x       x       x                       x       x       x       x        x   x       x   x       x   x   x
14a   x       x       x       x       x       x       x       x       x       x        x   x       x   x   x   x   x   x   x
 b                                                                                             x
15a   x       x       x       x       x       x       x       x       x                    x   x           x       x
 b                                                                            x        x           x   x       x       x   x
16a   x               x       x               x       x       x       x                    x               x       x   x   x
 b            x                       x                                       x        x       x   x   x       x
17a           x               x       x       x       x       x       x       x        x   x   x   x   x   x   x   x
 b    x               x                                                                                                x   x
18a   x                                                                                    x                       x
 b            x       x       x       x       x       x       x       x       x        x       x   x   x   x   x       x   x
21    22   23    24 25   26       27       28   29       30       31       32       33       34       35       36       37       38
         x          x   x         x        x             x        x        x        x                 x                 x        x
x              x             x                      x                                        x                 x
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x              x    x   x    x    x        x        x             x        x        x                          x                 x
         x          x   x         x                                        x        x        x        x                 x
x              x             x             x        x    x        x                                            x                 x
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x                                 x                 x                               x        x        x
x              x    x   x    x    x        x        x    x        x        x                          x        x                 x
         x                                                                          x        x                          x
         x              x                                x                 x        x        x        x                 x
x              x    x        x    x        x        x             x                                            x                 x
         x     x    x                                    x                                   x                          x
x                       x    x    x        x        x             x        x        x                 x        x                 x
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x              x             x    x        x        x                               x                          x                 x
x              x    x             x        x        x    x        x                 x                          x
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         x          x   x                  x             x        x        x                 x        x                 x
x              x             x    x                 x                               x                          x                 x
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x              x    x   x    x             x        x    x        x                                            x                 x
         x          x   x                  x             x        x        x        x        x        x                 x
x              x             x    x                 x                                                          x                 x
                    x
x        x     x        x    x    x        x        x    x        x        x        x        x        x        x        x        x
x        x     x        x    x             x        x    x        x        x        x        x                 x        x
                    x             x                                                                   x                          x
         x                                                                 x        x        x        x                 x
x              x    x   x    x    x        x        x    x        x                                            x                 x
         x                                               x        x                 x        x                          x
x              x    x   x    x    x        x        x                      x                                   x                 x
x        x     x             x    x        x        x    x                 x        x        x        x        x        x        x
                    x   x                                         x

x        x     x    x   x    x    x        x        x    x        x        x        x        x        x        x        x        x
39       40       41       42       43       44       45       46       47       48       49       50       51       52       53
x        x        x        x        x        x        x        x        x        x                 x                          x
                                                                                          x                 x        x
                           x        x                          x                 x                                            x
x        x        x                          x        x                 x                 x        x        x        x
x        x        x        x        x                 x        x        x        x                                            x
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x                          x                 x                 x                          x                 x        x
         x        x                 x                 x                 x        x                 x                          x
                                             x                 x                          x        x        x        x
x        x        x        x        x                 x                 x        x                                            x
         x        x        x        x                 x        x        x        x                                   x        x
x                                            x                                            x        x        x
                                                      x                          x                                            x
x        x        x        x        x        x                 x        x                 x        x        x        x
                           x                                                     x                 x                          x
x        x        x                 x        x        x        x        x                 x                 x        x
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x        x        x        x        x                 x        x        x        x                 x                          x
x        x                          x        x                          x        x                                            x
                  x        x                          x        x                          x        x        x        x
x        x                          x                                   x        x                                            x
                  x        x                 x        x        x                          x        x        x        x
x        x        x                 x        x        x        x        x        x                 x                          x
                           x                                                              x                 x        x
                                                                                                   x
x        x        x        x        x        x        x        x        x        x        x                 x        x        x
x        x        x        x        x        x        x        x        x        x        x                 x        x        x
                                                                                                   x
x        x        x                 x        x                 x                 x                 x                          x
                           x                          x                 x                 x                 x        x
x                 x                 x                                            x                 x                          x
         x                 x                 x        x        x        x                 x                 x        x
x                 x                 x        x        x        x                 x        x        x        x                 x
         x                 x                                            x                                            x
                                    x                                   x                                                     x
x        x        x        x                 x        x        x                 x        x        x        x        x
54       55       56       57       58       59       60       61       62       63       64       65       66       67       68
         x                 x        x        x        x                                   x        x        x        x        x
x                 x                                            x        x        x
         x        x        x        x                 x                                   x                 x                 x
x                                            x                 x        x        x                 x                 x
         x        x        x        x        x        x                                   x        x        x        x        x
x                                                              x        x        x
                           x        x                                            x                 x
x        x        x                          x        x        x        x                 x                 x        x        x
         x        x                 x        x                                   x        x        x                          x
x                          x                          x        x        x                                   x        x
x        x                 x        x                 x        x                          x        x        x                 x
                  x                          x                          x        x                                   x
x        x                 x                 x                                            x                 x
                  x                 x                 x        x        x        x                 x                 x        x
x                          x                                                              x        x        x
         x        x                 x        x        x        x        x        x                                   x        x
                  x                                            x        x        x                                   x
x        x                 x        x        x        x                                   x        x        x                 x
x        x                          x        x        x                 x                 x        x        x
                  x        x                                   x                 x                                   x        x
x        x        x                 x                                                     x        x        x                 x
                           x                 x        x        x        x        x                                   x
x        x        x                 x                 x                                   x        x        x                 x
                           x                 x                 x        x        x                                   x
         x        x                                                                       x
x                          x        x        x        x        x        x        x                 x        x        x        x
x        x        x        x        x        x        x        x        x        x        x        x        x        x        x

x        x        x        x        x        x        x                 x                 x        x        x        x        x
                                                               x                 x
x        x                 x        x        x        x                 x                 x        x        x        x        x
                  x                                            x                 x
x        x                 x        x                 x        x        x        x                 x        x        x        x
                  x                          x                                            x
         x                 x                                                              x
x                 x                 x        x        x        x        x        x                 x        x        x        x
69       70       71       72       73       74       75       76       77       78       79       80       81       82       83

x

x

x
x


x

x

x

x
x


x

x

x

x
x


x

x
x        x                          x        x        x        x        x        x                 x        x        x
                  x                                                                       x                                   x
         x        x                 x
x                          x                 x        x        x        x        x        x        x        x        x        x
84       85       86       87       88       89       90       91       92       93       94       95       96       97       98




         x        x        x        x        x        x        x        x        x        x        x
x                                                                                                           x        x        x
                                                                                                            x                 x
x        x        x        x        x        x        x        x        x        x        x        x                 x
99       100




         x
x

x        x

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Pattern analysis of x's in a matrix

  • 1. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1a x x x x x x x x x x x x x x x x x x x x b 2a x x x x x x x x x b x x x x x x x x x x x 3a x x x x x x x x x x x x x x x x x x x b x 4a x x x x x x x x x x x x x b x x x x x x x 5a x x x x x x x b x x x x x x x x x x x x x 6a x x x x x x x x x x x x x x x x x x x x b 7a x x x x x x b x x x x x x x x x x x x x x 8a x x x x x x x x x x b x x x x x x x x x x 9a x x x x x x b x x x x x x x x x x x x x x 10a x x x x x x x x x x x x x b x x x x x x x 11a x x x x x x x x x x x x x x x x x b x x x 12a x x x x x x x x x x x x x x x x x x b x x 13a x x x x x b x x x x x x x x x x x x x x x 14a x x x x x x x x x x x x x x x x x x x b x 15a x x x x x x x x x x x x x b x x x x x x x 16a x x x x x x x x x x x x b x x x x x x x x 17a x x x x x x x x x x x x x x x x b x x x x 18a x x x b x x x x x x x x x x x x x x x x x
  • 2. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x
  • 3. 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x
  • 4. 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x
  • 5. 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x
  • 6. 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x
  • 7. 99 100 x x x x