The New Sudoku Players' Forum

[StrmCkr]

I really over thought that one.
similar to the TK delete math
need at least 1 of each of [1..9] - ti{k}) digits at Ti level. { 7 }

[StrmCkr]

Code: Select all

.----------------------.----------------------.----------------------.
| 34589  4568   34689  | 12356  123569  15689 | 123489  1389   7     |
| 3589   2      3789   | 4      13579   15789 | 1389    6      389   |
| 1      4678   346789 | 2367   23679   6789  | 5       389    23489 |
:----------------------+----------------------+----------------------:
| 358    9      1378   | 13567  13567   2     | 1378    4      358   |
| 2345   1457   12347  | 8      13457   157   | 6       13579  2359  |
| 6      14578  123478 | 9      13457   157   | 12378   13578  2358  |
:----------------------+----------------------+----------------------:
| 2489   1468   5      | 1267   12679   3     | 4789    789    4689  |
| 49     3      1469   | 1567   8       15679 | 479     2      4569  |
| 7      68     2689   | 256    2569    4     | 389     3589   1     |
'----------------------'----------------------'----------------------'

Hidden Text: Show

T3-delete: digit 1 template 28572 cannot form Template[3] with digits {1,3,7}
T3-delete: digit 1 template 28590 cannot form Template[3] with digits {1,3,7}
T3-delete: digit 1 template 34620 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 34638 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 34668 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 34686 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 35484 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 35502 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 35522 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 35546 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 35570 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 35580 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 35594 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 35598 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 40668 cannot form Template[3] with digits {1,3,7}
T3-delete: digit 3 template 1550 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 1556 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 1580 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 2708 cannot form Template[3] with digits {3,4,5}
T3-delete: digit 3 template 11906 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 11912 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 13064 cannot form Template[3] with digits {3,2,6}
T3-delete: digit 3 template 14786 cannot form Template[3] with digits {3,1,5}
T3-delete: digit 3 template 16178 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 16184 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 16214 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 16238 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 16244 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 16268 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 16334 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 16352 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 17858 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 17864 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 17894 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 17954 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 17960 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 18050 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 21422 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 21428 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 21452 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 23138 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 23144 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 31160 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 31190 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 31220 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 31244 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 31358 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 31376 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 31508 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 31532 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 32840 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 32870 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 32936 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 33074 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 33224 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 35240 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 5 template 966 cannot form Template[3] with digits {5,1,6}
T3-delete: digit 5 template 996 cannot form Template[3] with digits {5,1,6}
T3-delete: digit 5 template 1878 cannot form Template[3] with digits {5,1,3}
T3-delete: digit 5 template 1908 cannot form Template[3] with digits {5,1,2}
T3-delete: digit 5 template 1974 cannot form Template[3] with digits {5,1,3}
T3-delete: digit 5 template 2004 cannot form Template[3] with digits {5,1,3}
T3-delete: digit 5 template 6150 cannot form Template[3] with digits {5,1,6}
T3-delete: digit 5 template 7009 cannot form Template[3] with digits {5,1,6}
T3-delete: digit 5 template 7057 cannot form Template[3] with digits {5,1,6}
T3-delete: digit 5 template 7062 cannot form Template[3] with digits {5,1,6}
T3-delete: digit 5 template 26070 cannot form Template[3] with digits {5,1,6}
T3-delete: digit 5 template 26100 cannot form Template[3] with digits {5,1,6}
T3-delete: digit 7 template 43991 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 44015 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 45335 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 45359 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 45617 cannot form Template[3] with digits {7,1,5}
T3-delete: digit 7 template 45623 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 45647 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 46151 cannot form Template[3] with digits {7,3,5}
T3-delete: digit 7 template 46175 cannot form Template[3] with digits {7,3,5}
T3-delete: digit 7 template 46247 cannot form Template[3] with digits {7,3,5}
T3-delete: digit 7 template 46271 cannot form Template[3] with digits {7,3,5}
T3-delete: digit 7 template 46295 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 46319 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 46529 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 46535 cannot form Template[3] with digits {7,1,2}
T3-delete: digit 7 template 46559 cannot form Template[3] with digits {7,1,2}
T3-delete: digit 7 template 46583 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 46607 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 8 template 2352 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 2357 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 2358 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 2363 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 2525 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 2526 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 2531 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 7254 cannot form Template[3] with digits {8,4,5}
T3-delete: digit 8 template 7493 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 7499 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 7536 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 7542 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 7710 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 8406 cannot form Template[3] with digits {8,2,6}
T3-delete: digit 8 template 12390 cannot form Template[3] with digits {8,1,5}
T3-delete: digit 8 template 12672 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 12677 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 12678 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 12683 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 12894 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 26544 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 26549 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 26550 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 26555 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 26717 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 26718 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 26723 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 27942 cannot form Template[3] with digits {8,1,5}
T3-delete: digit 8 template 28224 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 28229 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 28230 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 28235 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 28446 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 28854 cannot form Template[3] with digits {8,2,6}
T3-delete: digit 8 template 29094 cannot form Template[3] with digits {8,5,7}
T3-delete: digit 8 template 30582 cannot form Template[3] with digits {8,5,9}
T3-delete: digit 8 template 30816 cannot form Template[3] with digits {8,5,7}
T3-delete: digit 8 template 30822 cannot form Template[3] with digits {8,1,5}
T3-delete: digit 8 template 31733 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 31734 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 31739 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 31949 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 31950 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 31955 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 33413 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 33414 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 33419 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 33678 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 35717 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 35723 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 35766 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 35982 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 36005 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 36006 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 36011 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 36270 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 38598 cannot form Template[3] with digits {8,1,5}
T3-delete: digit 8 template 40950 cannot form Template[3] with digits {8,4,5}
T3-delete: digit 8 template 41190 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 9 template 1481 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 2342 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 2343 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 2344 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 11892 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 12757 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 12758 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 12760 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 21353 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 23124 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 26534 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 26535 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 26536 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 28309 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 28310 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 28312 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 30902 cannot form Template[3] with digits {9,5,8}
T3-delete: digit 9 template 31421 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 31433 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 31707 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 31708 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 31718 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 31720 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 33204 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 33481 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 33484 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 33494 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 33496 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 35220 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 36073 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 36076 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 36086 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 36088 cannot form Template[3] with digits {9,1,2}
(applied) removed template 28572 for digit 1
(applied) removed template 28590 for digit 1
(applied) removed template 34620 for digit 1
(applied) removed template 34638 for digit 1
(applied) removed template 34668 for digit 1
(applied) removed template 34686 for digit 1
(applied) removed template 35484 for digit 1
(applied) removed template 35502 for digit 1
(applied) removed template 35522 for digit 1
(applied) removed template 35546 for digit 1
(applied) removed template 35570 for digit 1
(applied) removed template 35580 for digit 1
(applied) removed template 35594 for digit 1
(applied) removed template 35598 for digit 1
(applied) removed template 40668 for digit 1
(applied) removed template 1550 for digit 3
(applied) removed template 1556 for digit 3
(applied) removed template 1580 for digit 3
(applied) removed template 2708 for digit 3
(applied) removed template 11906 for digit 3
(applied) removed template 11912 for digit 3
(applied) removed template 13064 for digit 3
(applied) removed template 14786 for digit 3
(applied) removed template 16178 for digit 3
(applied) removed template 16184 for digit 3
(applied) removed template 16214 for digit 3
(applied) removed template 16238 for digit 3
(applied) removed template 16244 for digit 3
(applied) removed template 16268 for digit 3
(applied) removed template 16334 for digit 3
(applied) removed template 16352 for digit 3
(applied) removed template 17858 for digit 3
(applied) removed template 17864 for digit 3
(applied) removed template 17894 for digit 3
(applied) removed template 17954 for digit 3
(applied) removed template 17960 for digit 3
(applied) removed template 18050 for digit 3
(applied) removed template 21422 for digit 3
(applied) removed template 21428 for digit 3
(applied) removed template 21452 for digit 3
(applied) removed template 23138 for digit 3
(applied) removed template 23144 for digit 3
(applied) removed template 31160 for digit 3
(applied) removed template 31190 for digit 3
(applied) removed template 31220 for digit 3
(applied) removed template 31244 for digit 3
(applied) removed template 31358 for digit 3
(applied) removed template 31376 for digit 3
(applied) removed template 31508 for digit 3
(applied) removed template 31532 for digit 3
(applied) removed template 32840 for digit 3
(applied) removed template 32870 for digit 3
(applied) removed template 32936 for digit 3
(applied) removed template 33074 for digit 3
(applied) removed template 33224 for digit 3
(applied) removed template 35240 for digit 3
(applied) removed template 966 for digit 5
(applied) removed template 996 for digit 5
(applied) removed template 1878 for digit 5
(applied) removed template 1908 for digit 5
(applied) removed template 1974 for digit 5
(applied) removed template 2004 for digit 5
(applied) removed template 6150 for digit 5
(applied) removed template 7009 for digit 5
(applied) removed template 7057 for digit 5
(applied) removed template 7062 for digit 5
(applied) removed template 26070 for digit 5
(applied) removed template 26100 for digit 5
(applied) removed template 43991 for digit 7
(applied) removed template 44015 for digit 7
(applied) removed template 45335 for digit 7
(applied) removed template 45359 for digit 7
(applied) removed template 45617 for digit 7
(applied) removed template 45623 for digit 7
(applied) removed template 45647 for digit 7
(applied) removed template 46151 for digit 7
(applied) removed template 46175 for digit 7
(applied) removed template 46247 for digit 7
(applied) removed template 46271 for digit 7
(applied) removed template 46295 for digit 7
(applied) removed template 46319 for digit 7
(applied) removed template 46529 for digit 7
(applied) removed template 46535 for digit 7
(applied) removed template 46559 for digit 7
(applied) removed template 46583 for digit 7
(applied) removed template 46607 for digit 7
(applied) removed template 2352 for digit 8
(applied) removed template 2357 for digit 8
(applied) removed template 2358 for digit 8
(applied) removed template 2363 for digit 8
(applied) removed template 2525 for digit 8
(applied) removed template 2526 for digit 8
(applied) removed template 2531 for digit 8
(applied) removed template 7254 for digit 8
(applied) removed template 7493 for digit 8
(applied) removed template 7499 for digit 8
(applied) removed template 7536 for digit 8
(applied) removed template 7542 for digit 8
(applied) removed template 7710 for digit 8
(applied) removed template 8406 for digit 8
(applied) removed template 12390 for digit 8
(applied) removed template 12672 for digit 8
(applied) removed template 12677 for digit 8
(applied) removed template 12678 for digit 8
(applied) removed template 12683 for digit 8
(applied) removed template 12894 for digit 8
(applied) removed template 26544 for digit 8
(applied) removed template 26549 for digit 8
(applied) removed template 26550 for digit 8
(applied) removed template 26555 for digit 8
(applied) removed template 26717 for digit 8
(applied) removed template 26718 for digit 8
(applied) removed template 26723 for digit 8
(applied) removed template 27942 for digit 8
(applied) removed template 28224 for digit 8
(applied) removed template 28229 for digit 8
(applied) removed template 28230 for digit 8
(applied) removed template 28235 for digit 8
(applied) removed template 28446 for digit 8
(applied) removed template 28854 for digit 8
(applied) removed template 29094 for digit 8
(applied) removed template 30582 for digit 8
(applied) removed template 30816 for digit 8
(applied) removed template 30822 for digit 8
(applied) removed template 31733 for digit 8
(applied) removed template 31734 for digit 8
(applied) removed template 31739 for digit 8
(applied) removed template 31949 for digit 8
(applied) removed template 31950 for digit 8
(applied) removed template 31955 for digit 8
(applied) removed template 33413 for digit 8
(applied) removed template 33414 for digit 8
(applied) removed template 33419 for digit 8
(applied) removed template 33678 for digit 8
(applied) removed template 35717 for digit 8
(applied) removed template 35723 for digit 8
(applied) removed template 35766 for digit 8
(applied) removed template 35982 for digit 8
(applied) removed template 36005 for digit 8
(applied) removed template 36006 for digit 8
(applied) removed template 36011 for digit 8
(applied) removed template 36270 for digit 8
(applied) removed template 38598 for digit 8
(applied) removed template 40950 for digit 8
(applied) removed template 41190 for digit 8
(applied) removed template 1481 for digit 9
(applied) removed template 2342 for digit 9
(applied) removed template 2343 for digit 9
(applied) removed template 2344 for digit 9
(applied) removed template 11892 for digit 9
(applied) removed template 12757 for digit 9
(applied) removed template 12758 for digit 9
(applied) removed template 12760 for digit 9
(applied) removed template 21353 for digit 9
(applied) removed template 23124 for digit 9
(applied) removed template 26534 for digit 9
(applied) removed template 26535 for digit 9
(applied) removed template 26536 for digit 9
(applied) removed template 28309 for digit 9
(applied) removed template 28310 for digit 9
(applied) removed template 28312 for digit 9
(applied) removed template 30902 for digit 9
(applied) removed template 31421 for digit 9
(applied) removed template 31433 for digit 9
(applied) removed template 31707 for digit 9
(applied) removed template 31708 for digit 9
(applied) removed template 31718 for digit 9
(applied) removed template 31720 for digit 9
(applied) removed template 33204 for digit 9
(applied) removed template 33481 for digit 9
(applied) removed template 33484 for digit 9
(applied) removed template 33494 for digit 9
(applied) removed template 33496 for digit 9
(applied) removed template 35220 for digit 9
(applied) removed template 36073 for digit 9
(applied) removed template 36076 for digit 9
(applied) removed template 36086 for digit 9
(applied) removed template 36088 for digit 9
T3-delete: digit 8 template 28805 cannot form Template[3] with digits {8,3,9}
T3-delete: digit 8 template 29358 cannot form Template[3] with digits {8,6,9}
T3-delete: digit 8 template 36917 cannot form Template[3] with digits {8,6,7}
T3-delete: digit 8 template 40907 cannot form Template[3] with digits {8,3,9}
(applied) removed template 28805 for digit 8
(applied) removed template 29358 for digit 8
(applied) removed template 36917 for digit 8
(applied) removed template 40907 for digit 8
T4-delete: digit 1 template 23406 cannot form Template[4] with digits {1,3,5,6}
T4-delete: digit 1 template 23436 cannot form Template[4] with digits {1,3,5,6}
T4-delete: digit 1 template 23454 cannot form Template[4] with digits {1,3,5,6}
T4-delete: digit 1 template 28668 cannot form Template[4] with digits {1,2,5,6}
T4-delete: digit 1 template 28686 cannot form Template[4] with digits {1,3,5,6}
T4-delete: digit 1 template 39804 cannot form Template[4] with digits {1,3,5,7}
T4-delete: digit 1 template 39852 cannot form Template[4] with digits {1,2,8,9}
T4-delete: digit 1 template 39954 cannot form Template[4] with digits {1,3,5,7}
T4-delete: digit 1 template 39978 cannot form Template[4] with digits {1,3,5,7}
T4-delete: digit 1 template 40764 cannot form Template[4] with digits {1,3,5,7}
T4-delete: digit 1 template 40808 cannot form Template[4] with digits {1,3,5,6}
T4-delete: digit 1 template 40818 cannot form Template[4] with digits {1,3,5,6}
T4-delete: digit 1 template 40838 cannot form Template[4] with digits {1,3,5,6}
T4-delete: digit 1 template 40842 cannot form Template[4] with digits {1,3,5,6}
T4-delete: digit 3 template 1268 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 1292 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 2648 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 2678 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 2732 cannot form Template[4] with digits {3,1,4,6}
T4-delete: digit 3 template 2846 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 2864 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 2996 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 3020 cannot form Template[4] with digits {3,1,4,6}
T4-delete: digit 3 template 4370 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 4430 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 4436 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 4460 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 4526 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 4544 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 4718 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 4724 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 4748 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 11624 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 12968 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 12998 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 13202 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 13352 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 14690 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 14792 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 14882 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 15074 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 15080 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 15926 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 15956 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 15980 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 17606 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 17672 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 17810 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 18728 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 18758 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 18824 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 20450 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 20546 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 20552 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 20642 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 21140 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 21164 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 22856 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 24008 cannot form Template[4] with digits {3,1,2,6}
T4-delete: digit 3 template 25730 cannot form Template[4] with digits {3,1,2,6}
T4-delete: digit 3 template 25736 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 36374 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 36404 cannot form Template[4] with digits {3,6,7,9}
T4-delete: digit 3 template 36428 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 36692 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 36716 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 38054 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 38120 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 38258 cannot form Template[4] with digits {3,1,5,7}
T4-delete: digit 3 template 38408 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 3 template 40424 cannot form Template[4] with digits {3,1,5,6}
T4-delete: digit 5 template 1110 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 1140 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 1825 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 1849 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 1873 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 1897 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 6066 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 6090 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 6294 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 6925 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 6930 cannot form Template[4] with digits {5,1,3,6}
T4-delete: digit 5 template 6943 cannot form Template[4] with digits {5,1,3,6}
T4-delete: digit 5 template 6954 cannot form Template[4] with digits {5,1,3,6}
T4-delete: digit 5 template 7158 cannot form Template[4] with digits {5,1,3,4}
T4-delete: digit 5 template 15654 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 15684 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 15792 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 15816 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 20838 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 20868 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 26017 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 26041 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 26065 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 26089 cannot form Template[4] with digits {5,1,3,7}
T4-delete: digit 5 template 26166 cannot form Template[4] with digits {5,1,3,4}
T4-delete: digit 5 template 26196 cannot form Template[4] with digits {5,1,3,6}
T4-delete: digit 6 template 9053 cannot form Template[4] with digits {6,1,3,7}
T4-delete: digit 6 template 9387 cannot form Template[4] with digits {6,1,3,5}
T4-delete: digit 6 template 9389 cannot form Template[4] with digits {6,1,3,5}
T4-delete: digit 6 template 14521 cannot form Template[4] with digits {6,1,5,9}
T4-delete: digit 6 template 14571 cannot form Template[4] with digits {6,1,7,9}
T4-delete: digit 6 template 14573 cannot form Template[4] with digits {6,4,8,9}
T4-delete: digit 6 template 19421 cannot form Template[4] with digits {6,1,3,5}
T4-delete: digit 6 template 29787 cannot form Template[4] with digits {6,4,8,9}
T4-delete: digit 6 template 29835 cannot form Template[4] with digits {6,1,7,9}
T4-delete: digit 6 template 29836 cannot form Template[4] with digits {6,5,7,9}
T4-delete: digit 6 template 29837 cannot form Template[4] with digits {6,1,5,9}
T4-delete: digit 6 template 30073 cannot form Template[4] with digits {6,1,5,9}
T4-delete: digit 6 template 30123 cannot form Template[4] with digits {6,1,7,9}
T4-delete: digit 6 template 30125 cannot form Template[4] with digits {6,4,8,9}
T4-delete: digit 7 template 43319 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43343 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43409 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43427 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43601 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43607 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43631 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43893 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43917 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43937 cannot form Template[4] with digits {7,1,3,4}
T4-delete: digit 7 template 43941 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43943 cannot form Template[4] with digits {7,1,3,4}
T4-delete: digit 7 template 43965 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 43967 cannot form Template[4] with digits {7,1,3,4}
T4-delete: digit 7 template 45281 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 45287 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 45311 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 45329 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 45431 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 45455 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 45719 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 45743 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46145 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46149 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46173 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46241 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46245 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46269 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46485 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46509 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46533 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 7 template 46557 cannot form Template[4] with digits {7,1,3,5}
T4-delete: digit 8 template 2070 cannot form Template[4] with digits {8,1,3,7}
T4-delete: digit 8 template 2237 cannot form Template[4] with digits {8,1,3,5}
T4-delete: digit 8 template 2285 cannot form Template[4] with digits {8,4,5,9}
T4-delete: digit 8 template 2286 cannot form Template[4] with digits {8,1,3,5}
T4-delete: digit 8 template 3221 cannot form Template[4] with digits {8,1,5,9}
T4-delete: digit 8 template 3222 cannot form Template[4] with digits {8,1,4,5}
T4-delete: digit 8 template 3437 cannot form Template[4] with digits {8,3,4,9}
T4-delete: digit 8 template 3443 cannot form Template[4] with digits {8,5,7,9}
T4-delete: digit 8 template 5118 cannot form Template[4] with digits {8,1,7,9}
T4-delete: digit 8 template 7470 cannot form Template[4] with digits {8,1,4,5}
T4-delete: digit 8 template 8357 cannot form Template[4] with digits {8,1,5,9}
T4-delete: digit 8 template 8363 cannot form Template[4] with digits {8,5,7,9}
T4-delete: digit 8 template 10128 cannot form Template[4] with digits {8,1,4,9}
T4-delete: digit 8 template 10134 cannot form Template[4] with digits {8,1,5,6}
T4-delete: digit 8 template 10302 cannot form Template[4] with digits {8,1,5,6}
T4-delete: digit 8 template 12654 cannot form Template[4] with digits {8,1,4,5}
T4-delete: digit 8 template 13541 cannot form Template[4] with digits {8,1,5,9}
T4-delete: digit 8 template 13542 cannot form Template[4] with digits {8,1,5,9}
T4-delete: digit 8 template 13806 cannot form Template[4] with digits {8,1,7,9}
T4-delete: digit 8 template 15264 cannot form Template[4] with digits {8,1,5,6}
T4-delete: digit 8 template 15270 cannot form Template[4] with digits {8,1,5,9}
T4-delete: digit 8 template 15486 cannot form Template[4] with digits {8,1,6,9}
T4-delete: digit 8 template 26261 cannot form Template[4] with digits {8,1,5,6}
T4-delete: digit 8 template 26262 cannot form Template[4] with digits {8,1,4,5}
T4-delete: digit 8 template 26429 cannot form Template[4] with digits {8,1,3,6}
T4-delete: digit 8 template 26435 cannot form Template[4] with digits {8,1,6,7}
T4-delete: digit 8 template 26477 cannot form Template[4] with digits {8,1,6,7}
T4-delete: digit 8 template 26478 cannot form Template[4] with digits {8,1,4,5}
T4-delete: digit 8 template 28206 cannot form Template[4] with digits {8,1,3,5}
T4-delete: digit 8 template 28811 cannot form Template[4] with digits {8,4,6,9}
T4-delete: digit 8 template 29070 cannot form Template[4] with digits {8,1,7,9}
T4-delete: digit 8 template 29093 cannot form Template[4] with digits {8,1,7,9}
T4-delete: digit 8 template 30533 cannot form Template[4] with digits {8,3,6,9}
T4-delete: digit 8 template 30539 cannot form Template[4] with digits {8,3,4,9}
T4-delete: digit 8 template 30750 cannot form Template[4] with digits {8,4,6,9}
T4-delete: digit 8 template 31038 cannot form Template[4] with digits {8,1,5,6}
T4-delete: digit 8 template 36918 cannot form Template[4] with digits {8,1,3,6}
T4-delete: digit 8 template 37085 cannot form Template[4] with digits {8,1,3,7}
T4-delete: digit 8 template 37091 cannot form Template[4] with digits {8,1,3,6}
T4-delete: digit 8 template 38597 cannot form Template[4] with digits {8,1,3,7}
T4-delete: digit 8 template 38862 cannot form Template[4] with digits {8,2,4,5}
T4-delete: digit 8 template 40901 cannot form Template[4] with digits {8,1,7,9}
T4-delete: digit 8 template 41166 cannot form Template[4] with digits {8,4,5,9}
T4-delete: digit 8 template 41189 cannot form Template[4] with digits {8,1,7,9}
T4-delete: digit 8 template 41195 cannot form Template[4] with digits {8,1,7,9}
T4-delete: digit 8 template 41454 cannot form Template[4] with digits {8,1,4,5}
T4-delete: digit 9 template 1193 cannot form Template[4] with digits {9,1,3,5}
T4-delete: digit 9 template 2054 cannot form Template[4] with digits {9,1,5,6}
T4-delete: digit 9 template 2909 cannot form Template[4] with digits {9,5,6,8}
T4-delete: digit 9 template 3195 cannot form Template[4] with digits {9,1,5,8}
T4-delete: digit 9 template 3196 cannot form Template[4] with digits {9,1,5,8}
T4-delete: digit 9 template 3206 cannot form Template[4] with digits {9,1,5,7}
T4-delete: digit 9 template 4649 cannot form Template[4] with digits {9,5,7,8}
T4-delete: digit 9 template 4934 cannot form Template[4] with digits {9,1,5,6}
T4-delete: digit 9 template 4936 cannot form Template[4] with digits {9,1,6,7}
T4-delete: digit 9 template 11604 cannot form Template[4] with digits {9,1,3,5}
T4-delete: digit 9 template 12469 cannot form Template[4] with digits {9,1,5,6}
T4-delete: digit 9 template 13332 cannot form Template[4] with digits {9,4,5,8}
T4-delete: digit 9 template 13609 cannot form Template[4] with digits {9,1,5,7}
T4-delete: digit 9 template 13612 cannot form Template[4] with digits {9,1,5,8}
T4-delete: digit 9 template 15060 cannot form Template[4] with digits {9,1,2,5}
T4-delete: digit 9 template 21065 cannot form Template[4] with digits {9,4,6,7}
T4-delete: digit 9 template 22836 cannot form Template[4] with digits {9,1,5,6}
T4-delete: digit 9 template 23988 cannot form Template[4] with digits {9,1,6,8}
T4-delete: digit 9 template 25716 cannot form Template[4] with digits {9,1,5,6}
T4-delete: digit 9 template 26246 cannot form Template[4] with digits {9,1,5,7}
T4-delete: digit 9 template 26248 cannot form Template[4] with digits {9,5,6,7}
T4-delete: digit 9 template 28021 cannot form Template[4] with digits {9,1,5,6}
T4-delete: digit 9 template 28022 cannot form Template[4] with digits {9,1,5,6}
T4-delete: digit 9 template 29161 cannot form Template[4] with digits {9,1,6,7}
T4-delete: digit 9 template 29164 cannot form Template[4] with digits {9,1,7,8}
T4-delete: digit 9 template 30901 cannot form Template[4] with digits {9,1,7,8}
T4-delete: digit 9 template 36617 cannot form Template[4] with digits {9,1,7,8}
T4-delete: digit 9 template 36902 cannot form Template[4] with digits {9,1,5,6}
T4-delete: digit 9 template 36903 cannot form Template[4] with digits {9,4,6,8}
T4-delete: digit 9 template 36904 cannot form Template[4] with digits {9,1,6,7}
T4-delete: digit 9 template 38388 cannot form Template[4] with digits {9,1,3,5}
T4-delete: digit 9 template 38677 cannot form Template[4] with digits {9,1,5,7}
T4-delete: digit 9 template 40404 cannot form Template[4] with digits {9,1,2,7}
T4-delete: digit 9 template 41269 cannot form Template[4] with digits {9,1,5,6}
(applied) removed template 23406 for digit 1
(applied) removed template 23436 for digit 1
(applied) removed template 23454 for digit 1
(applied) removed template 28668 for digit 1
(applied) removed template 28686 for digit 1
(applied) removed template 39804 for digit 1
(applied) removed template 39852 for digit 1
(applied) removed template 39954 for digit 1
(applied) removed template 39978 for digit 1
(applied) removed template 40764 for digit 1
(applied) removed template 40808 for digit 1
(applied) removed template 40818 for digit 1
(applied) removed template 40838 for digit 1
(applied) removed template 40842 for digit 1
(applied) removed template 1268 for digit 3
(applied) removed template 1292 for digit 3
(applied) removed template 2648 for digit 3
(applied) removed template 2678 for digit 3
(applied) removed template 2732 for digit 3
(applied) removed template 2846 for digit 3
(applied) removed template 2864 for digit 3
(applied) removed template 2996 for digit 3
(applied) removed template 3020 for digit 3
(applied) removed template 4370 for digit 3
(applied) removed template 4430 for digit 3
(applied) removed template 4436 for digit 3
(applied) removed template 4460 for digit 3
(applied) removed template 4526 for digit 3
(applied) removed template 4544 for digit 3
(applied) removed template 4718 for digit 3
(applied) removed template 4724 for digit 3
(applied) removed template 4748 for digit 3
(applied) removed template 11624 for digit 3
(applied) removed template 12968 for digit 3
(applied) removed template 12998 for digit 3
(applied) removed template 13202 for digit 3
(applied) removed template 13352 for digit 3
(applied) removed template 14690 for digit 3
(applied) removed template 14792 for digit 3
(applied) removed template 14882 for digit 3
(applied) removed template 15074 for digit 3
(applied) removed template 15080 for digit 3
(applied) removed template 15926 for digit 3
(applied) removed template 15956 for digit 3
(applied) removed template 15980 for digit 3
(applied) removed template 17606 for digit 3
(applied) removed template 17672 for digit 3
(applied) removed template 17810 for digit 3
(applied) removed template 18728 for digit 3
(applied) removed template 18758 for digit 3
(applied) removed template 18824 for digit 3
(applied) removed template 20450 for digit 3
(applied) removed template 20546 for digit 3
(applied) removed template 20552 for digit 3
(applied) removed template 20642 for digit 3
(applied) removed template 21140 for digit 3
(applied) removed template 21164 for digit 3
(applied) removed template 22856 for digit 3
(applied) removed template 24008 for digit 3
(applied) removed template 25730 for digit 3
(applied) removed template 25736 for digit 3
(applied) removed template 36374 for digit 3
(applied) removed template 36404 for digit 3
(applied) removed template 36428 for digit 3
(applied) removed template 36692 for digit 3
(applied) removed template 36716 for digit 3
(applied) removed template 38054 for digit 3
(applied) removed template 38120 for digit 3
(applied) removed template 38258 for digit 3
(applied) removed template 38408 for digit 3
(applied) removed template 40424 for digit 3
(applied) removed template 1110 for digit 5
(applied) removed template 1140 for digit 5
(applied) removed template 1825 for digit 5
(applied) removed template 1849 for digit 5
(applied) removed template 1873 for digit 5
(applied) removed template 1897 for digit 5
(applied) removed template 6066 for digit 5
(applied) removed template 6090 for digit 5
(applied) removed template 6294 for digit 5
(applied) removed template 6925 for digit 5
(applied) removed template 6930 for digit 5
(applied) removed template 6943 for digit 5
(applied) removed template 6954 for digit 5
(applied) removed template 7158 for digit 5
(applied) removed template 15654 for digit 5
(applied) removed template 15684 for digit 5
(applied) removed template 15792 for digit 5
(applied) removed template 15816 for digit 5
(applied) removed template 20838 for digit 5
(applied) removed template 20868 for digit 5
(applied) removed template 26017 for digit 5
(applied) removed template 26041 for digit 5
(applied) removed template 26065 for digit 5
(applied) removed template 26089 for digit 5
(applied) removed template 26166 for digit 5
(applied) removed template 26196 for digit 5
(applied) removed template 9053 for digit 6
(applied) removed template 9387 for digit 6
(applied) removed template 9389 for digit 6
(applied) removed template 14521 for digit 6
(applied) removed template 14571 for digit 6
(applied) removed template 14573 for digit 6
(applied) removed template 19421 for digit 6
(applied) removed template 29787 for digit 6
(applied) removed template 29835 for digit 6
(applied) removed template 29836 for digit 6
(applied) removed template 29837 for digit 6
(applied) removed template 30073 for digit 6
(applied) removed template 30123 for digit 6
(applied) removed template 30125 for digit 6
(applied) removed template 43319 for digit 7
(applied) removed template 43343 for digit 7
(applied) removed template 43409 for digit 7
(applied) removed template 43427 for digit 7
(applied) removed template 43601 for digit 7
(applied) removed template 43607 for digit 7
(applied) removed template 43631 for digit 7
(applied) removed template 43893 for digit 7
(applied) removed template 43917 for digit 7
(applied) removed template 43937 for digit 7
(applied) removed template 43941 for digit 7
(applied) removed template 43943 for digit 7
(applied) removed template 43965 for digit 7
(applied) removed template 43967 for digit 7
(applied) removed template 45281 for digit 7
(applied) removed template 45287 for digit 7
(applied) removed template 45311 for digit 7
(applied) removed template 45329 for digit 7
(applied) removed template 45431 for digit 7
(applied) removed template 45455 for digit 7
(applied) removed template 45719 for digit 7
(applied) removed template 45743 for digit 7
(applied) removed template 46145 for digit 7
(applied) removed template 46149 for digit 7
(applied) removed template 46173 for digit 7
(applied) removed template 46241 for digit 7
(applied) removed template 46245 for digit 7
(applied) removed template 46269 for digit 7
(applied) removed template 46485 for digit 7
(applied) removed template 46509 for digit 7
(applied) removed template 46533 for digit 7
(applied) removed template 46557 for digit 7
(applied) removed template 2070 for digit 8
(applied) removed template 2237 for digit 8
(applied) removed template 2285 for digit 8
(applied) removed template 2286 for digit 8
(applied) removed template 3221 for digit 8
(applied) removed template 3222 for digit 8
(applied) removed template 3437 for digit 8
(applied) removed template 3443 for digit 8
(applied) removed template 5118 for digit 8
(applied) removed template 7470 for digit 8
(applied) removed template 8357 for digit 8
(applied) removed template 8363 for digit 8
(applied) removed template 10128 for digit 8
(applied) removed template 10134 for digit 8
(applied) removed template 10302 for digit 8
(applied) removed template 12654 for digit 8
(applied) removed template 13541 for digit 8
(applied) removed template 13542 for digit 8
(applied) removed template 13806 for digit 8
(applied) removed template 15264 for digit 8
(applied) removed template 15270 for digit 8
(applied) removed template 15486 for digit 8
(applied) removed template 26261 for digit 8
(applied) removed template 26262 for digit 8
(applied) removed template 26429 for digit 8
(applied) removed template 26435 for digit 8
(applied) removed template 26477 for digit 8
(applied) removed template 26478 for digit 8
(applied) removed template 28206 for digit 8
(applied) removed template 28811 for digit 8
(applied) removed template 29070 for digit 8
(applied) removed template 29093 for digit 8
(applied) removed template 30533 for digit 8
(applied) removed template 30539 for digit 8
(applied) removed template 30750 for digit 8
(applied) removed template 31038 for digit 8
(applied) removed template 36918 for digit 8
(applied) removed template 37085 for digit 8
(applied) removed template 37091 for digit 8
(applied) removed template 38597 for digit 8
(applied) removed template 38862 for digit 8
(applied) removed template 40901 for digit 8
(applied) removed template 41166 for digit 8
(applied) removed template 41189 for digit 8
(applied) removed template 41195 for digit 8
(applied) removed template 41454 for digit 8
(applied) removed template 1193 for digit 9
(applied) removed template 2054 for digit 9
(applied) removed template 2909 for digit 9
(applied) removed template 3195 for digit 9
(applied) removed template 3196 for digit 9
(applied) removed template 3206 for digit 9
(applied) removed template 4649 for digit 9
(applied) removed template 4934 for digit 9
(applied) removed template 4936 for digit 9
(applied) removed template 11604 for digit 9
(applied) removed template 12469 for digit 9
(applied) removed template 13332 for digit 9
(applied) removed template 13609 for digit 9
(applied) removed template 13612 for digit 9
(applied) removed template 15060 for digit 9
(applied) removed template 21065 for digit 9
(applied) removed template 22836 for digit 9
(applied) removed template 23988 for digit 9
(applied) removed template 25716 for digit 9
(applied) removed template 26246 for digit 9
(applied) removed template 26248 for digit 9
(applied) removed template 28021 for digit 9
(applied) removed template 28022 for digit 9
(applied) removed template 29161 for digit 9
(applied) removed template 29164 for digit 9
(applied) removed template 30901 for digit 9
(applied) removed template 36617 for digit 9
(applied) removed template 36902 for digit 9
(applied) removed template 36903 for digit 9
(applied) removed template 36904 for digit 9
(applied) removed template 38388 for digit 9
(applied) removed template 38677 for digit 9
(applied) removed template 40404 for digit 9
(applied) removed template 41269 for digit 9
T3-delete: digit 1 template 18192 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 18216 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 23388 cannot form Template[3] with digits {1,3,7}
T3-delete: digit 2 template 17139 cannot form Template[3] with digits {2,1,8}
T3-delete: digit 2 template 22323 cannot form Template[3] with digits {2,4,5}
T3-delete: digit 2 template 22333 cannot form Template[3] with digits {2,1,3}
T3-delete: digit 2 template 32443 cannot form Template[3] with digits {2,3,8}
T3-delete: digit 3 template 15896 cannot form Template[3] with digits {3,4,8}
T3-delete: digit 3 template 17576 cannot form Template[3] with digits {3,2,8}
T3-delete: digit 3 template 36344 cannot form Template[3] with digits {3,4,5}
T3-delete: digit 4 template 820 cannot form Template[3] with digits {4,5,9}
T3-delete: digit 4 template 829 cannot form Template[3] with digits {4,5,8}
T3-delete: digit 4 template 847 cannot form Template[3] with digits {4,5,8}
T3-delete: digit 4 template 6004 cannot form Template[3] with digits {4,1,9}
T3-delete: digit 4 template 6013 cannot form Template[3] with digits {4,1,5}
T3-delete: digit 4 template 6016 cannot form Template[3] with digits {4,3,9}
T3-delete: digit 4 template 6031 cannot form Template[3] with digits {4,1,5}
T3-delete: digit 4 template 6034 cannot form Template[3] with digits {4,3,8}
T3-delete: digit 4 template 11197 cannot form Template[3] with digits {4,1,2}
T3-delete: digit 4 template 34180 cannot form Template[3] with digits {4,1,2}
T3-delete: digit 4 template 34189 cannot form Template[3] with digits {4,1,5}
T3-delete: digit 4 template 34192 cannot form Template[3] with digits {4,1,5}
T3-delete: digit 4 template 34207 cannot form Template[3] with digits {4,1,5}
T3-delete: digit 4 template 34210 cannot form Template[3] with digits {4,1,5}
T3-delete: digit 4 template 34477 cannot form Template[3] with digits {4,1,2}
T3-delete: digit 4 template 34480 cannot form Template[3] with digits {4,1,5}
T3-delete: digit 4 template 34495 cannot form Template[3] with digits {4,1,2}
T3-delete: digit 4 template 34498 cannot form Template[3] with digits {4,1,5}
T3-delete: digit 6 template 9340 cannot form Template[3] with digits {6,3,9}
T3-delete: digit 6 template 9388 cannot form Template[3] with digits {6,1,3}
T3-delete: digit 6 template 13949 cannot form Template[3] with digits {6,5,8}
T3-delete: digit 6 template 14237 cannot form Template[3] with digits {6,1,2}
T3-delete: digit 6 template 14523 cannot form Template[3] with digits {6,2,3}
T3-delete: digit 7 template 43313 cannot form Template[3] with digits {7,1,3}
T3-delete: digit 7 template 46197 cannot form Template[3] with digits {7,1,4}
T3-delete: digit 8 template 2069 cannot form Template[3] with digits {8,1,5}
T3-delete: digit 8 template 2075 cannot form Template[3] with digits {8,5,9}
T3-delete: digit 8 template 2243 cannot form Template[3] with digits {8,1,6}
T3-delete: digit 8 template 2291 cannot form Template[3] with digits {8,1,9}
T3-delete: digit 8 template 3438 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 4944 cannot form Template[3] with digits {8,1,4}
T3-delete: digit 8 template 4949 cannot form Template[3] with digits {8,4,6}
T3-delete: digit 8 template 7205 cannot form Template[3] with digits {8,2,3}
T3-delete: digit 8 template 7211 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 8622 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 10085 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 10091 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 12389 cannot form Template[3] with digits {8,2,3}
T3-delete: digit 8 template 12395 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 13547 cannot form Template[3] with digits {8,3,6}
T3-delete: digit 8 template 15269 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 15275 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 26267 cannot form Template[3] with digits {8,2,3}
T3-delete: digit 8 template 26483 cannot form Template[3] with digits {8,3,4}
T3-delete: digit 8 template 27941 cannot form Template[3] with digits {8,3,9}
T3-delete: digit 8 template 27947 cannot form Template[3] with digits {8,3,6}
T3-delete: digit 8 template 29099 cannot form Template[3] with digits {8,2,3}
T3-delete: digit 8 template 30576 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 30821 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 30827 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 36923 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 37133 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 37134 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 37139 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 8 template 38603 cannot form Template[3] with digits {8,1,3}
T3-delete: digit 9 template 2055 cannot form Template[3] with digits {9,3,8}
T3-delete: digit 9 template 2056 cannot form Template[3] with digits {9,4,8}
T3-delete: digit 9 template 2921 cannot form Template[3] with digits {9,3,8}
T3-delete: digit 9 template 3208 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 4935 cannot form Template[3] with digits {9,1,5}
T3-delete: digit 9 template 12470 cannot form Template[3] with digits {9,1,3}
T3-delete: digit 9 template 13624 cannot form Template[3] with digits {9,2,4}
T3-delete: digit 9 template 15349 cannot form Template[3] with digits {9,1,5}
T3-delete: digit 9 template 15350 cannot form Template[3] with digits {9,1,5}
T3-delete: digit 9 template 26247 cannot form Template[3] with digits {9,2,6}
T3-delete: digit 9 template 29176 cannot form Template[3] with digits {9,1,4}
T3-delete: digit 9 template 30904 cannot form Template[3] with digits {9,1,7}
T3-delete: digit 9 template 38678 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 38680 cannot form Template[3] with digits {9,4,8}
T3-delete: digit 9 template 41270 cannot form Template[3] with digits {9,1,2}
(applied) removed template 18192 for digit 1
(applied) removed template 18216 for digit 1
(applied) removed template 23388 for digit 1
(applied) removed template 17139 for digit 2
(applied) removed template 22323 for digit 2
(applied) removed template 22333 for digit 2
(applied) removed template 32443 for digit 2
(applied) removed template 15896 for digit 3
(applied) removed template 17576 for digit 3
(applied) removed template 36344 for digit 3
(applied) removed template 820 for digit 4
(applied) removed template 829 for digit 4
(applied) removed template 847 for digit 4
(applied) removed template 6004 for digit 4
(applied) removed template 6013 for digit 4
(applied) removed template 6016 for digit 4
(applied) removed template 6031 for digit 4
(applied) removed template 6034 for digit 4
(applied) removed template 11197 for digit 4
(applied) removed template 34180 for digit 4
(applied) removed template 34189 for digit 4
(applied) removed template 34192 for digit 4
(applied) removed template 34207 for digit 4
(applied) removed template 34210 for digit 4
(applied) removed template 34477 for digit 4
(applied) removed template 34480 for digit 4
(applied) removed template 34495 for digit 4
(applied) removed template 34498 for digit 4
(applied) removed template 9340 for digit 6
(applied) removed template 9388 for digit 6
(applied) removed template 13949 for digit 6
(applied) removed template 14237 for digit 6
(applied) removed template 14523 for digit 6
(applied) removed template 43313 for digit 7
(applied) removed template 46197 for digit 7
(applied) removed template 2069 for digit 8
(applied) removed template 2075 for digit 8
(applied) removed template 2243 for digit 8
(applied) removed template 2291 for digit 8
(applied) removed template 3438 for digit 8
(applied) removed template 4944 for digit 8
(applied) removed template 4949 for digit 8
(applied) removed template 7205 for digit 8
(applied) removed template 7211 for digit 8
(applied) removed template 8622 for digit 8
(applied) removed template 10085 for digit 8
(applied) removed template 10091 for digit 8
(applied) removed template 12389 for digit 8
(applied) removed template 12395 for digit 8
(applied) removed template 13547 for digit 8
(applied) removed template 15269 for digit 8
(applied) removed template 15275 for digit 8
(applied) removed template 26267 for digit 8
(applied) removed template 26483 for digit 8
(applied) removed template 27941 for digit 8
(applied) removed template 27947 for digit 8
(applied) removed template 29099 for digit 8
(applied) removed template 30576 for digit 8
(applied) removed template 30821 for digit 8
(applied) removed template 30827 for digit 8
(applied) removed template 36923 for digit 8
(applied) removed template 37133 for digit 8
(applied) removed template 37134 for digit 8
(applied) removed template 37139 for digit 8
(applied) removed template 38603 for digit 8
(applied) removed template 2055 for digit 9
(applied) removed template 2056 for digit 9
(applied) removed template 2921 for digit 9
(applied) removed template 3208 for digit 9
(applied) removed template 4935 for digit 9
(applied) removed template 12470 for digit 9
(applied) removed template 13624 for digit 9
(applied) removed template 15349 for digit 9
(applied) removed template 15350 for digit 9
(applied) removed template 26247 for digit 9
(applied) removed template 29176 for digit 9
(applied) removed template 30904 for digit 9
(applied) removed template 38678 for digit 9
(applied) removed template 38680 for digit 9
(applied) removed template 41270 for digit 9
T3-delete: digit 1 template 18252 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 18270 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 28610 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 28634 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 1 template 28658 cannot form Template[3] with digits {1,2,4}
T3-delete: digit 1 template 28682 cannot form Template[3] with digits {1,2,4}
T3-delete: digit 1 template 39944 cannot form Template[3] with digits {1,4,9}
T3-delete: digit 1 template 39974 cannot form Template[3] with digits {1,4,9}
T3-delete: digit 1 template 40706 cannot form Template[3] with digits {1,2,3}
T3-delete: digit 2 template 17149 cannot form Template[3] with digits {2,1,5}
T3-delete: digit 2 template 32121 cannot form Template[3] with digits {2,1,4}
T3-delete: digit 2 template 32155 cannot form Template[3] with digits {2,1,3}
T3-delete: digit 2 template 32409 cannot form Template[3] with digits {2,1,3}
T3-delete: digit 2 template 32419 cannot form Template[3] with digits {2,1,3}
T3-delete: digit 3 template 4376 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 4406 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 14696 cannot form Template[3] with digits {3,1,6}
T3-delete: digit 3 template 14726 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 16094 cannot form Template[3] with digits {3,1,4}
T3-delete: digit 3 template 18962 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 20456 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 20486 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 36542 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 36560 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 3 template 38024 cannot form Template[3] with digits {3,1,2}
T3-delete: digit 4 template 844 cannot form Template[3] with digits {4,1,2}
T3-delete: digit 4 template 11200 cannot form Template[3] with digits {4,1,2}
T3-delete: digit 4 template 11215 cannot form Template[3] with digits {4,1,2}
T3-delete: digit 4 template 11218 cannot form Template[3] with digits {4,1,2}
T3-delete: digit 4 template 34465 cannot form Template[3] with digits {4,1,9}
T3-delete: digit 5 template 6061 cannot form Template[3] with digits {5,1,7}
T3-delete: digit 5 template 20982 cannot form Template[3] with digits {5,2,3}
T3-delete: digit 5 template 21012 cannot form Template[3] with digits {5,2,3}
T3-delete: digit 6 template 8765 cannot form Template[3] with digits {6,2,3}
T3-delete: digit 6 template 9339 cannot form Template[3] with digits {6,1,2}
T3-delete: digit 6 template 14569 cannot form Template[3] with digits {6,1,2}
T3-delete: digit 6 template 19709 cannot form Template[3] with digits {6,2,3}
T3-delete: digit 6 template 24893 cannot form Template[3] with digits {6,1,8}
T3-delete: digit 6 template 29788 cannot form Template[3] with digits {6,1,2}
T3-delete: digit 6 template 30075 cannot form Template[3] with digits {6,1,3}
T3-delete: digit 6 template 30121 cannot form Template[3] with digits {6,1,3}
T3-delete: digit 7 template 43703 cannot form Template[3] with digits {7,1,2}
T3-delete: digit 7 template 45285 cannot form Template[3] with digits {7,2,9}
T3-delete: digit 7 template 45309 cannot form Template[3] with digits {7,2,9}
T3-delete: digit 7 template 46221 cannot form Template[3] with digits {7,2,3}
T3-delete: digit 8 template 3227 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 4950 cannot form Template[3] with digits {8,1,4}
T3-delete: digit 8 template 5117 cannot form Template[3] with digits {8,1,2}
T3-delete: digit 8 template 5123 cannot form Template[3] with digits {8,2,4}
T3-delete: digit 9 template 12472 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 13622 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 15352 cannot form Template[3] with digits {9,1,2}
T3-delete: digit 9 template 28024 cannot form Template[3] with digits {9,1,4}
T3-delete: digit 9 template 41272 cannot form Template[3] with digits {9,2,4}
(applied) removed template 18252 for digit 1
(applied) removed template 18270 for digit 1
(applied) removed template 28610 for digit 1
(applied) removed template 28634 for digit 1
(applied) removed template 28658 for digit 1
(applied) removed template 28682 for digit 1
(applied) removed template 39944 for digit 1
(applied) removed template 39974 for digit 1
(applied) removed template 40706 for digit 1
(applied) removed template 17149 for digit 2
(applied) removed template 32121 for digit 2
(applied) removed template 32155 for digit 2
(applied) removed template 32409 for digit 2
(applied) removed template 32419 for digit 2
(applied) removed template 4376 for digit 3
(applied) removed template 4406 for digit 3
(applied) removed template 14696 for digit 3
(applied) removed template 14726 for digit 3
(applied) removed template 16094 for digit 3
(applied) removed template 18962 for digit 3
(applied) removed template 20456 for digit 3
(applied) removed template 20486 for digit 3
(applied) removed template 36542 for digit 3
(applied) removed template 36560 for digit 3
(applied) removed template 38024 for digit 3
(applied) removed template 844 for digit 4
(applied) removed template 11200 for digit 4
(applied) removed template 11215 for digit 4
(applied) removed template 11218 for digit 4
(applied) removed template 34465 for digit 4
(applied) removed template 6061 for digit 5
(applied) removed template 20982 for digit 5
(applied) removed template 21012 for digit 5
(applied) removed template 8765 for digit 6
(applied) removed template 9339 for digit 6
(applied) removed template 14569 for digit 6
(applied) removed template 19709 for digit 6
(applied) removed template 24893 for digit 6
(applied) removed template 29788 for digit 6
(applied) removed template 30075 for digit 6
(applied) removed template 30121 for digit 6
(applied) removed template 43703 for digit 7
(applied) removed template 45285 for digit 7
(applied) removed template 45309 for digit 7
(applied) removed template 46221 for digit 7
(applied) removed template 3227 for digit 8
(applied) removed template 4950 for digit 8
(applied) removed template 5117 for digit 8
(applied) removed template 5123 for digit 8
(applied) removed template 12472 for digit 9
(applied) removed template 13622 for digit 9
(applied) removed template 15352 for digit 9
(applied) removed template 28024 for digit 9
(applied) removed template 41272 for digit 9

POM: (525.3113ms): {forgot to turn the Ti level " inclusion", "exclusion" rules for size 1 subsets. would have been less steps at higher k levels.} slightly slower run as well.

[StrmCkr]

think i got it working now.

Code: Select all

   +-------------+-------------+-------------+
   ! 3   8   6   ! 79  27  29  ! 1   4   5   !
   ! 7   4   5   ! 6   8   1   ! 9   2   3   !
   ! 2   9   1   ! 3   4   5   ! 6   7   8   !
   +-------------+-------------+-------------+
   ! 1   5   38  ! 78  37  4   ! 2   9   6   !
   ! 4   2   39  ! 19  13  6   ! 8   5   7   !
   ! 6   7   89  ! 589 25  29  ! 4   3   1   !
   +-------------+-------------+-------------+
   ! 8   1   7   ! 2   9   3   ! 5   6   4   !
   ! 9   6   4   ! 15  15  7   ! 3   8   2   !
   ! 5   3   2   ! 4   6   8   ! 7   1   9   !
   +-------------+-------------+-------------+

T2-delete: digit 3 template 4437 cannot form Template[2] with digits {3,2}
T2-delete: digit 7 template 21156 cannot form Template[2] with digits {7,5}
T2-delete: digit 9 template 18644 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 29024 cannot form Template[2] with digits {9,5}
(applied) removed template 4437 for digit 3
(applied) removed template 21156 for digit 7
(applied) removed template 18644 for digit 9
(applied) removed template 29024 for digit 9
POM inclusions for digit 3 (hidden single(s)): r4c3,r5c5
→ delete templates {36018} from digit 1
→ delete templates {6697} from digit 8
POM inclusions for digit 7 (hidden single(s)): r1c4,r4c5
→ delete templates {36018} from digit 1
→ delete templates {6697} from digit 8
POM inclusions for digit 9 (hidden single(s)): r1c6,r5c3,r6c4
→ delete templates {36018} from digit 1
→ delete templates {29577} from digit 2
→ delete templates {43865} from digit 5
→ delete templates {6697} from digit 8
(applied) removed template 36018 for digit 1
(applied) removed template 29577 for digit 2
(applied) removed template 43865 for digit 5
(applied) removed template 6697 for digit 8
POM: (24.6092ms):

updated solvers code on previous page for bug checks.

[StrmCkr]

my code has:

Ti is extended by a valid of disjointed template as T2 {a,b} then i check:
that it is universally compatible for a representative for each Digit( [1,2,3,4,5,6,7,8,9] - A,B)
if this "valid" template is not compatible with all other single digits: Ti is slated for deletion.

I also do the same for size 2 combinations and size 3 combinations.

i can get this grid down to t2 with it....

Code: Select all

.----------------------.----------------------.----------------------.
| 34589  4568   34689  | 12356  123569  15689 | 123489  1389   7     |
| 3589   2      3789   | 4      13579   15789 | 1389    6      389   |
| 1      4678   346789 | 2367   23679   6789  | 5       389    23489 |
:----------------------+----------------------+----------------------:
| 358    9      1378   | 13567  13567   2     | 1378    4      358   |
| 2345   1457   12347  | 8      13457   157   | 6       13579  2359  |
| 6      14578  123478 | 9      13457   157   | 12378   13578  2358  |
:----------------------+----------------------+----------------------:
| 2489   1468   5      | 1267   12679   3     | 4789    789    4689  |
| 49     3      1469   | 1567   8       15679 | 479     2      4569  |
| 7      68     2689   | 256    2569    4     | 389     3589   1     |
'----------------------'----------------------'----------------------'

Hidden Text: Show

Code: Select all

HIDDEN-SUBSET: digits=2,4 cells=b3p19 sector=20 size=2
  -> eliminate digit 1 templates={34620, 34638, 34668, 34686, 35484, 35502, 35522, 35546, 35570, 35580, 35594, 35598}
  -> eliminate digit 3 templates={1550, 1556, 1580, 11906, 11912, 16178, 16184, 16214, 16238, 16244, 16268, 16334, 16352, 17858, 17864, 17894, 17954, 17960, 18050, 21422, 21428, 21452, 23138, 23144, 31160, 31190, 31220, 31244, 31358, 31376, 31508, 31532, 32840, 32870, 32936, 33074, 33224, 35240}
  -> eliminate digit 8 templates={2352, 2357, 2358, 2363, 2525, 2526, 2531, 7493, 7499, 7536, 7542, 7710, 12672, 12677, 12678, 12683, 12894, 26544, 26549, 26550, 26555, 26717, 26718, 26723, 28224, 28229, 28230, 28235, 28446, 31733, 31734, 31739, 31949, 31950, 31955, 33413, 33414, 33419, 33678, 35717, 35723, 35766, 35982, 36005, 36006, 36011, 36270}
  -> eliminate digit 9 templates={1481, 2342, 2343, 2344, 11892, 12757, 12758, 12760, 21353, 23124, 26534, 26535, 26536, 28309, 28310, 28312, 31421, 31433, 31707, 31708, 31718, 31720, 33204, 33481, 33484, 33494, 33496, 35220, 36073, 36076, 36086, 36088}
T2-delete: digit 1 template 28572 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 28590 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 28668 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 28686 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 39852 cannot form Template[2] with digits {1,7}
T2-delete: digit 1 template 40668 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 40764 cannot form Template[2] with digits {1,6}
T2-delete: digit 1 template 40818 cannot form Template[2] with digits {1,8}
T2-delete: digit 3 template 1268 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 1292 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 2648 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 2708 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 2732 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 2996 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 3020 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 4718 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 11624 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 12998 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 13064 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 13352 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 14786 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 14882 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 15074 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 17606 cannot form Template[2] with digits {3,8}
T2-delete: digit 3 template 17672 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 18758 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 18824 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 20450 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 20546 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 20552 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 21140 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 21164 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 24008 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 25730 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 36344 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 36374 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 36404 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 36428 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 36692 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 36716 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 38120 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 38408 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 40424 cannot form Template[2] with digits {3,1}
T2-delete: digit 5 template 966 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 996 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1110 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 1140 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 1878 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1908 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1974 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 2004 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 6150 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 6930 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 6954 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 7009 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 7057 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 7062 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 7158 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 15684 cannot form Template[2] with digits {5,8}
T2-delete: digit 5 template 20868 cannot form Template[2] with digits {5,8}
T2-delete: digit 5 template 26070 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26100 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26166 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26196 cannot form Template[2] with digits {5,3}
T2-delete: digit 6 template 9389 cannot form Template[2] with digits {6,4}
T2-delete: digit 7 template 43943 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 43967 cannot form Template[2] with digits {7,8}
T2-delete: digit 7 template 43991 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 44015 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45329 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45335 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45359 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45617 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45623 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45647 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46151 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46175 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46241 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46247 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 46271 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46295 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46319 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46529 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46535 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46559 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46583 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46607 cannot form Template[2] with digits {7,1}
T2-delete: digit 8 template 2070 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 3222 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 7254 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 7470 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 8357 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 8406 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 10128 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 10134 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 10302 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 12390 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 12654 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 13541 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 13542 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 13806 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 15264 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 15270 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 26261 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 26262 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 26429 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 26435 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 26478 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 27942 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 28206 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 28805 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 28854 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 29070 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 29094 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 29358 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 30533 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 30539 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 30576 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 30582 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 30816 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 30822 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 31038 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 36917 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 36918 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 37091 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 38597 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 38598 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 40907 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 40950 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 41190 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 41195 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 41454 cannot form Template[2] with digits {8,4}
T2-delete: digit 9 template 1193 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 2054 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 3195 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 3196 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 3206 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 4934 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 11604 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 13332 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 13609 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 15060 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 21065 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 22836 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 25716 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 26246 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 28021 cannot form Template[2] with digits {9,6}
T2-delete: digit 9 template 28022 cannot form Template[2] with digits {9,6}
T2-delete: digit 9 template 29161 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 30902 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 36902 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 38388 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 40404 cannot form Template[2] with digits {9,1}
T2-delete: digit 1 template 23436 cannot form Template[2] with digits {1,2}
T2-delete: digit 1 template 23454 cannot form Template[2] with digits {1,2}
T2-delete: digit 3 template 2678 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 2846 cannot form Template[2] with digits {3,2}
T2-delete: digit 3 template 2864 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 4370 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 4544 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 12968 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 13202 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 14690 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 15080 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 15956 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 15980 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 18728 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 20486 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 38054 cannot form Template[2] with digits {3,5}
T2-delete: digit 6 template 14521 cannot form Template[2] with digits {6,9}
T2-delete: digit 6 template 30073 cannot form Template[2] with digits {6,9}
T2-delete: digit 7 template 43937 cannot form Template[2] with digits {7,8}
T2-delete: digit 7 template 45311 cannot form Template[2] with digits {7,9}
T2-delete: digit 7 template 46145 cannot form Template[2] with digits {7,8}
T2-delete: digit 7 template 46245 cannot form Template[2] with digits {7,6}
T2-delete: digit 7 template 46533 cannot form Template[2] with digits {7,6}
T2-delete: digit 7 template 46557 cannot form Template[2] with digits {7,6}
T2-delete: digit 8 template 2285 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 2286 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 3437 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 4949 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 8363 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 28811 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 30750 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 36923 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 37085 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 37134 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 38862 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 41166 cannot form Template[2] with digits {8,4}
T2-delete: digit 9 template 4649 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 4935 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 4936 cannot form Template[2] with digits {9,2}
T2-delete: digit 9 template 29164 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 36617 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 36904 cannot form Template[2] with digits {9,2}
T2-delete: digit 9 template 41270 cannot form Template[2] with digits {9,6}
T2-delete: digit 3 template 4430 cannot form Template[2] with digits {3,9}
T2-delete: digit 3 template 4526 cannot form Template[2] with digits {3,5}
T2-delete: digit 6 template 14573 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 30125 cannot form Template[2] with digits {6,9}
T2-delete: digit 7 template 43409 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 43427 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 43941 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 45287 cannot form Template[2] with digits {7,9}
T2-delete: digit 7 template 46149 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46173 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46269 cannot form Template[2] with digits {7,6}
T2-delete: digit 8 template 2237 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 3221 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 5118 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 8622 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 10085 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 10091 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 26477 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 29093 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 30821 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 37133 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 40901 cannot form Template[2] with digits {8,3}
T2-delete: digit 9 template 2055 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 15349 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 15350 cannot form Template[2] with digits {9,4}
T2-delete: digit 9 template 30901 cannot form Template[2] with digits {9,6}
T2-delete: digit 9 template 36903 cannot form Template[2] with digits {9,4}
T2-delete: digit 9 template 38677 cannot form Template[2] with digits {9,1}
T2-delete: digit 1 template 18192 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 18216 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 18270 cannot form Template[2] with digits {1,5}
T2-delete: digit 1 template 23406 cannot form Template[2] with digits {1,4}
T2-delete: digit 1 template 40842 cannot form Template[2] with digits {1,5}
T2-delete: digit 2 template 32155 cannot form Template[2] with digits {2,5}
T2-delete: digit 3 template 4460 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 4748 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 15926 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 17576 cannot form Template[2] with digits {3,4}
T2-delete: digit 3 template 20642 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 22856 cannot form Template[2] with digits {3,9}
T2-delete: digit 5 template 1825 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1849 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1873 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1897 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 6090 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 6925 cannot form Template[2] with digits {5,2}
T2-delete: digit 5 template 6943 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 15654 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 20838 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26017 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26041 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26065 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26089 cannot form Template[2] with digits {5,1}
T2-delete: digit 6 template 9053 cannot form Template[2] with digits {6,9}
T2-delete: digit 6 template 9340 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 9388 cannot form Template[2] with digits {6,9}
T2-delete: digit 6 template 14523 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 14571 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 29835 cannot form Template[2] with digits {6,7}
T2-delete: digit 6 template 29837 cannot form Template[2] with digits {6,9}
T2-delete: digit 7 template 43319 cannot form Template[2] with digits {7,9}
T2-delete: digit 7 template 43343 cannot form Template[2] with digits {7,9}
T2-delete: digit 7 template 43607 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 43631 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 43893 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 45719 cannot form Template[2] with digits {7,8}
T2-delete: digit 7 template 45743 cannot form Template[2] with digits {7,8}
T2-delete: digit 8 template 2291 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 37139 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 38603 cannot form Template[2] with digits {8,1}
T2-delete: digit 9 template 2056 cannot form Template[2] with digits {9,6}
T2-delete: digit 9 template 12470 cannot form Template[2] with digits {9,2}
T2-delete: digit 9 template 13612 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 26248 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 30904 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 38678 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 38680 cannot form Template[2] with digits {9,1}
T2-delete: digit 1 template 18252 cannot form Template[2] with digits {1,2}
T2-delete: digit 1 template 23388 cannot form Template[2] with digits {1,4}
T2-delete: digit 1 template 28682 cannot form Template[2] with digits {1,4}
T2-delete: digit 1 template 39804 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 39954 cannot form Template[2] with digits {1,2}
T2-delete: digit 1 template 39978 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 40808 cannot form Template[2] with digits {1,4}
T2-delete: digit 1 template 40838 cannot form Template[2] with digits {1,4}
T2-delete: digit 2 template 17139 cannot form Template[2] with digits {2,1}
T2-delete: digit 2 template 32443 cannot form Template[2] with digits {2,1}
T2-delete: digit 3 template 4436 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 4724 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 15896 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 17810 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 18962 cannot form Template[2] with digits {3,4}
T2-delete: digit 3 template 20456 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 25736 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 38258 cannot form Template[2] with digits {3,1}
T2-delete: digit 4 template 820 cannot form Template[2] with digits {4,3}
T2-delete: digit 4 template 829 cannot form Template[2] with digits {4,8}
T2-delete: digit 4 template 844 cannot form Template[2] with digits {4,3}
T2-delete: digit 4 template 847 cannot form Template[2] with digits {4,8}
T2-delete: digit 4 template 6004 cannot form Template[2] with digits {4,2}
T2-delete: digit 4 template 6013 cannot form Template[2] with digits {4,3}
T2-delete: digit 4 template 6031 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 6034 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 11197 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 11200 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 11215 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 11218 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34180 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34189 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34192 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34207 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34210 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34465 cannot form Template[2] with digits {4,6}
T2-delete: digit 4 template 34477 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34480 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34495 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34498 cannot form Template[2] with digits {4,1}
T2-delete: digit 5 template 6066 cannot form Template[2] with digits {5,7}
T2-delete: digit 6 template 8765 cannot form Template[2] with digits {6,2}
T2-delete: digit 6 template 9339 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 9387 cannot form Template[2] with digits {6,9}
T2-delete: digit 6 template 13949 cannot form Template[2] with digits {6,4}
T2-delete: digit 6 template 14237 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 24893 cannot form Template[2] with digits {6,4}
T2-delete: digit 6 template 29788 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 29836 cannot form Template[2] with digits {6,3}
T2-delete: digit 6 template 30121 cannot form Template[2] with digits {6,8}
T2-delete: digit 6 template 30123 cannot form Template[2] with digits {6,7}
T2-delete: digit 7 template 43313 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 43601 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 43703 cannot form Template[2] with digits {7,4}
T2-delete: digit 7 template 43965 cannot form Template[2] with digits {7,4}
T2-delete: digit 7 template 45281 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45285 cannot form Template[2] with digits {7,2}
T2-delete: digit 7 template 45431 cannot form Template[2] with digits {7,2}
T2-delete: digit 7 template 45455 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 46197 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46485 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46509 cannot form Template[2] with digits {7,3}
T2-delete: digit 8 template 2069 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 2075 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 2243 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 3227 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 3438 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 3443 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 4944 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 4950 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 5117 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 5123 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 7205 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 7211 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 12389 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 12395 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 13547 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 15269 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 15275 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 15486 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 26267 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 29099 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 30827 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 41189 cannot form Template[2] with digits {8,1}
T2-delete: digit 9 template 2909 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 3208 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 13622 cannot form Template[2] with digits {9,2}
T2-delete: digit 9 template 15352 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 23988 cannot form Template[2] with digits {9,1}
HIDDEN-SUBSET: digits=4 cells=r3c9 sector=20 size=1
  -> eliminate digit 2 templates={17149, 22323, 22333}
HIDDEN-SUBSET: digits=4 cells=r6c5 sector=22 size=1
  -> eliminate digit 3 templates={4406, 14726, 16094, 36542}
  -> eliminate digit 5 templates={15792}
HIDDEN-SUBSET: digits=8 cells=r9c2 sector=24 size=1
  -> eliminate digit 6 templates={19709, 30075}
HIDDEN-SUBSET: digits=2 cells=r6c9 sector=23 size=1
  -> eliminate digit 3 templates={38024}
  -> eliminate digit 8 templates={27947}
HIDDEN-SUBSET: digits=2,4 cells=r5c13 sector=21 size=2
  -> eliminate digit 3 templates={14792}
  -> eliminate digit 5 templates={6294}
HIDDEN-SUBSET: digits=3,4 cells=r56c5 sector=22 size=2
  -> eliminate digit 5 templates={15816}
HIDDEN-SUBSET: digits=2,4,6 cells=r159c3 sector=11 size=3
  -> eliminate digit 3 templates={14696}
  -> eliminate digit 9 templates={2921, 12469, 12472, 13624, 26247}
HIDDEN-SUBSET: digits=3,5,8 cells=r4c139 sector=3 size=3
  -> eliminate digit 7 templates={45309}
HIDDEN-SUBSET: digits=3,7,8 cells=r246c3 sector=11 size=3
  -> eliminate digit 9 templates={28024}
HIDDEN-SUBSET: digits=4,7,9 cells=r8c147 sector=7 size=3
  -> eliminate digit 5 templates={20982, 21012}
HIDDEN-SUBSET: digits=5,6,8 cells=r9c234 sector=8 size=3
  -> eliminate digit 2 templates={32121, 32409, 32419}
HIDDEN-SUBSET: digits=5,6,8 cells=b9p136 sector=26 size=3
  -> eliminate digit 4 templates={6016}
  -> eliminate digit 9 templates={41272}
HIDDEN-SUBSET: digits=5,6,9 cells=r578c9 sector=17 size=3
  -> eliminate digit 8 templates={27941}
HIDDEN-SUBSET: digits=5,7,9 cells=r5c689 sector=4 size=3
  -> eliminate digit 1 templates={28634, 39974}
HIDDEN-SUBSET: digits=2 cells=r3c4 sector=19 size=1
  -> eliminate digit 3 templates={4376, 36560}
HIDDEN-SUBSET: digits=2 cells=r7c1 sector=24 size=1
  -> eliminate digit 9 templates={41269}
HIDDEN-SUBSET: digits=2 cells=r9c5 sector=25 size=1
  -> eliminate digit 9 templates={29176}
HIDDEN-SUBSET: digits=3 cells=r2c1 sector=18 size=1
  -> eliminate digit 8 templates={26483}
HIDDEN-SUBSET: digits=3 cells=r1c4 sector=19 size=1
  -> eliminate digit 6 templates={19421}
HIDDEN-SUBSET: digits=3 cells=r6c3 sector=21 size=1
  -> eliminate digit 7 templates={46221}
HIDDEN-SUBSET: digits=4 cells=r1c3 sector=18 size=1
  -> eliminate digit 6 templates={14569}
HIDDEN-SUBSET: digits=4 cells=r8c7 sector=26 size=1
  -> eliminate digit 7 templates={43917}
HIDDEN-SUBSET: digits=5 cells=r2c5 sector=19 size=1
  -> eliminate digit 1 templates={39944}
HIDDEN-SUBSET: digits=5 cells=r8c9 sector=26 size=1
  -> eliminate digit 6 templates={29787}
HIDDEN-SUBSET: digits=6 cells=r4c4 sector=22 size=1
  -> eliminate digit 1 templates={28610, 40706}
HIDDEN-SUBSET: digits=7 cells=r5c6 sector=22 size=1
  -> eliminate digit 5 templates={6061}
HIDDEN-SUBSET: digits=8 cells=r6c8 sector=23 size=1
  -> eliminate digit 1 templates={28658}

[P.O.]

Tungsten Rod was therefore successively classified at template depths of 6, 4, 3, and 2.
Template procedures never cease to amaze me.
With a little extra effort, it will be solved at a template depth of 1 without any template combinations.
Therefore, the mystery lies in what is actually done in the black box of each implementation.
Look at this post by Blue.
That's why I prefer a purely combinatorial procedure, the combinations are made and the templates that are not included in them are eliminated, without any fiddling with the combinations.

[StrmCkr]

I'm just not sure ifs correct/sound or overly aggressive, trying to find a flaw in my code

A 2nd set of eyes reviewing it would be definitely helpful.

[P.O.]

Could you post the number of possible templates, as well as the PM after eliminating or placing a candidate set, and after tk-delete? Here, it would be after the hidden-subset and t2-delete sets.
It would also be interesting to have this information right after the puzzle initialization.

[StrmCkr]

template list: Show

Code: Select all

Digit 1 (42 templates):
  Template 18192 cells: [3, 15, 18, 29, 40, 52, 55, 68, 80]
  Template 18216 cells: [3, 15, 18, 29, 43, 49, 55, 68, 80]
  Template 18252 cells: [3, 15, 18, 31, 38, 52, 55, 68, 80]
  Template 18270 cells: [3, 15, 18, 31, 43, 47, 55, 68, 80]
  Template 23388 cells: [4, 15, 18, 29, 41, 52, 55, 66, 80]
  Template 23406 cells: [4, 15, 18, 29, 43, 50, 55, 66, 80]
  Template 23436 cells: [4, 15, 18, 30, 38, 52, 55, 68, 80]
  Template 23454 cells: [4, 15, 18, 30, 43, 47, 55, 68, 80]
  Template 28572 cells: [5, 15, 18, 29, 40, 52, 55, 66, 80]
  Template 28590 cells: [5, 15, 18, 29, 43, 49, 55, 66, 80]
  Template 28610 cells: [5, 15, 18, 30, 37, 52, 58, 65, 80]
  Template 28634 cells: [5, 15, 18, 30, 43, 46, 58, 65, 80]
  Template 28658 cells: [5, 15, 18, 31, 37, 52, 57, 65, 80]
  Template 28668 cells: [5, 15, 18, 31, 38, 52, 55, 66, 80]
  Template 28682 cells: [5, 15, 18, 31, 43, 46, 57, 65, 80]
  Template 28686 cells: [5, 15, 18, 31, 43, 47, 55, 66, 80]
  Template 34620 cells: [6, 13, 18, 29, 41, 52, 55, 66, 80]
  Template 34638 cells: [6, 13, 18, 29, 43, 50, 55, 66, 80]
  Template 34668 cells: [6, 13, 18, 30, 38, 52, 55, 68, 80]
  Template 34686 cells: [6, 13, 18, 30, 43, 47, 55, 68, 80]
  Template 35484 cells: [6, 14, 18, 29, 40, 52, 55, 66, 80]
  Template 35502 cells: [6, 14, 18, 29, 43, 49, 55, 66, 80]
  Template 35522 cells: [6, 14, 18, 30, 37, 52, 58, 65, 80]
  Template 35546 cells: [6, 14, 18, 30, 43, 46, 58, 65, 80]
  Template 35570 cells: [6, 14, 18, 31, 37, 52, 57, 65, 80]
  Template 35580 cells: [6, 14, 18, 31, 38, 52, 55, 66, 80]
  Template 35594 cells: [6, 14, 18, 31, 43, 46, 57, 65, 80]
  Template 35598 cells: [6, 14, 18, 31, 43, 47, 55, 66, 80]
  Template 39804 cells: [7, 13, 18, 29, 41, 51, 55, 66, 80]
  Template 39852 cells: [7, 13, 18, 30, 38, 51, 55, 68, 80]
  Template 39944 cells: [7, 13, 18, 33, 37, 50, 57, 65, 80]
  Template 39954 cells: [7, 13, 18, 33, 38, 50, 55, 66, 80]
  Template 39974 cells: [7, 13, 18, 33, 41, 46, 57, 65, 80]
  Template 39978 cells: [7, 13, 18, 33, 41, 47, 55, 66, 80]
  Template 40668 cells: [7, 14, 18, 29, 40, 51, 55, 66, 80]
  Template 40706 cells: [7, 14, 18, 30, 37, 51, 58, 65, 80]
  Template 40754 cells: [7, 14, 18, 31, 37, 51, 57, 65, 80]
  Template 40764 cells: [7, 14, 18, 31, 38, 51, 55, 66, 80]
  Template 40808 cells: [7, 14, 18, 33, 37, 49, 57, 65, 80]
  Template 40818 cells: [7, 14, 18, 33, 38, 49, 55, 66, 80]
  Template 40838 cells: [7, 14, 18, 33, 40, 46, 57, 65, 80]
  Template 40842 cells: [7, 14, 18, 33, 40, 47, 55, 66, 80]
Digit 2 (10 templates):
  Template 17139 cells: [3, 10, 26, 32, 36, 51, 58, 70, 74]
  Template 17149 cells: [3, 10, 26, 32, 38, 51, 54, 70, 76]
  Template 22323 cells: [4, 10, 26, 32, 36, 51, 57, 70, 74]
  Template 22333 cells: [4, 10, 26, 32, 38, 51, 54, 70, 75]
  Template 32121 cells: [6, 10, 21, 32, 36, 53, 58, 70, 74]
  Template 32131 cells: [6, 10, 21, 32, 38, 53, 54, 70, 76]
  Template 32155 cells: [6, 10, 21, 32, 44, 47, 54, 70, 76]
  Template 32409 cells: [6, 10, 22, 32, 36, 53, 57, 70, 74]
  Template 32419 cells: [6, 10, 22, 32, 38, 53, 54, 70, 75]
  Template 32443 cells: [6, 10, 22, 32, 44, 47, 54, 70, 75]
Digit 3 (113 templates):
  Template 1268 cells: [0, 13, 25, 30, 38, 53, 59, 64, 78]
  Template 1292 cells: [0, 13, 25, 30, 44, 47, 59, 64, 78]
  Template 1550 cells: [0, 13, 26, 30, 38, 51, 59, 64, 79]
  Template 1556 cells: [0, 13, 26, 30, 38, 52, 59, 64, 78]
  Template 1580 cells: [0, 13, 26, 30, 43, 47, 59, 64, 78]
  Template 2648 cells: [0, 15, 21, 29, 40, 53, 59, 64, 79]
  Template 2678 cells: [0, 15, 21, 29, 44, 49, 59, 64, 79]
  Template 2708 cells: [0, 15, 21, 31, 38, 53, 59, 64, 79]
  Template 2732 cells: [0, 15, 21, 31, 44, 47, 59, 64, 79]
  Template 2846 cells: [0, 15, 21, 35, 38, 49, 59, 64, 79]
  Template 2864 cells: [0, 15, 21, 35, 40, 47, 59, 64, 79]
  Template 2996 cells: [0, 15, 22, 30, 38, 53, 59, 64, 79]
  Template 3020 cells: [0, 15, 22, 30, 44, 47, 59, 64, 79]
  Template 4370 cells: [0, 17, 21, 29, 40, 51, 59, 64, 79]
  Template 4376 cells: [0, 17, 21, 29, 40, 52, 59, 64, 78]
  Template 4406 cells: [0, 17, 21, 29, 43, 49, 59, 64, 78]
  Template 4430 cells: [0, 17, 21, 31, 38, 51, 59, 64, 79]
  Template 4436 cells: [0, 17, 21, 31, 38, 52, 59, 64, 78]
  Template 4460 cells: [0, 17, 21, 31, 43, 47, 59, 64, 78]
  Template 4526 cells: [0, 17, 21, 33, 38, 49, 59, 64, 79]
  Template 4544 cells: [0, 17, 21, 33, 40, 47, 59, 64, 79]
  Template 4718 cells: [0, 17, 22, 30, 38, 51, 59, 64, 79]
  Template 4724 cells: [0, 17, 22, 30, 38, 52, 59, 64, 78]
  Template 4748 cells: [0, 17, 22, 30, 43, 47, 59, 64, 78]
  Template 11624 cells: [2, 13, 25, 30, 36, 53, 59, 64, 78]
  Template 11906 cells: [2, 13, 26, 30, 36, 51, 59, 64, 79]
  Template 11912 cells: [2, 13, 26, 30, 36, 52, 59, 64, 78]
  Template 12968 cells: [2, 15, 21, 27, 40, 53, 59, 64, 79]
  Template 12998 cells: [2, 15, 21, 27, 44, 49, 59, 64, 79]
  Template 13064 cells: [2, 15, 21, 31, 36, 53, 59, 64, 79]
  Template 13202 cells: [2, 15, 21, 35, 36, 49, 59, 64, 79]
  Template 13352 cells: [2, 15, 22, 30, 36, 53, 59, 64, 79]
  Template 14690 cells: [2, 17, 21, 27, 40, 51, 59, 64, 79]
  Template 14696 cells: [2, 17, 21, 27, 40, 52, 59, 64, 78]
  Template 14726 cells: [2, 17, 21, 27, 43, 49, 59, 64, 78]
  Template 14786 cells: [2, 17, 21, 31, 36, 51, 59, 64, 79]
  Template 14792 cells: [2, 17, 21, 31, 36, 52, 59, 64, 78]
  Template 14882 cells: [2, 17, 21, 33, 36, 49, 59, 64, 79]
  Template 15074 cells: [2, 17, 22, 30, 36, 51, 59, 64, 79]
  Template 15080 cells: [2, 17, 22, 30, 36, 52, 59, 64, 78]
  Template 15896 cells: [3, 9, 25, 29, 40, 53, 59, 64, 78]
  Template 15926 cells: [3, 9, 25, 29, 44, 49, 59, 64, 78]
  Template 15956 cells: [3, 9, 25, 31, 38, 53, 59, 64, 78]
  Template 15980 cells: [3, 9, 25, 31, 44, 47, 59, 64, 78]
  Template 16094 cells: [3, 9, 25, 35, 38, 49, 59, 64, 78]
  Template 16112 cells: [3, 9, 25, 35, 40, 47, 59, 64, 78]
  Template 16178 cells: [3, 9, 26, 29, 40, 51, 59, 64, 79]
  Template 16184 cells: [3, 9, 26, 29, 40, 52, 59, 64, 78]
  Template 16214 cells: [3, 9, 26, 29, 43, 49, 59, 64, 78]
  Template 16238 cells: [3, 9, 26, 31, 38, 51, 59, 64, 79]
  Template 16244 cells: [3, 9, 26, 31, 38, 52, 59, 64, 78]
  Template 16268 cells: [3, 9, 26, 31, 43, 47, 59, 64, 78]
  Template 16334 cells: [3, 9, 26, 33, 38, 49, 59, 64, 79]
  Template 16352 cells: [3, 9, 26, 33, 40, 47, 59, 64, 79]
  Template 17576 cells: [3, 11, 25, 27, 40, 53, 59, 64, 78]
  Template 17606 cells: [3, 11, 25, 27, 44, 49, 59, 64, 78]
  Template 17672 cells: [3, 11, 25, 31, 36, 53, 59, 64, 78]
  Template 17810 cells: [3, 11, 25, 35, 36, 49, 59, 64, 78]
  Template 17858 cells: [3, 11, 26, 27, 40, 51, 59, 64, 79]
  Template 17864 cells: [3, 11, 26, 27, 40, 52, 59, 64, 78]
  Template 17894 cells: [3, 11, 26, 27, 43, 49, 59, 64, 78]
  Template 17954 cells: [3, 11, 26, 31, 36, 51, 59, 64, 79]
  Template 17960 cells: [3, 11, 26, 31, 36, 52, 59, 64, 78]
  Template 18050 cells: [3, 11, 26, 33, 36, 49, 59, 64, 79]
  Template 18728 cells: [3, 15, 20, 27, 40, 53, 59, 64, 79]
  Template 18758 cells: [3, 15, 20, 27, 44, 49, 59, 64, 79]
  Template 18824 cells: [3, 15, 20, 31, 36, 53, 59, 64, 79]
  Template 18962 cells: [3, 15, 20, 35, 36, 49, 59, 64, 79]
  Template 20450 cells: [3, 17, 20, 27, 40, 51, 59, 64, 79]
  Template 20456 cells: [3, 17, 20, 27, 40, 52, 59, 64, 78]
  Template 20486 cells: [3, 17, 20, 27, 43, 49, 59, 64, 78]
  Template 20546 cells: [3, 17, 20, 31, 36, 51, 59, 64, 79]
  Template 20552 cells: [3, 17, 20, 31, 36, 52, 59, 64, 78]
  Template 20642 cells: [3, 17, 20, 33, 36, 49, 59, 64, 79]
  Template 21140 cells: [4, 9, 25, 30, 38, 53, 59, 64, 78]
  Template 21164 cells: [4, 9, 25, 30, 44, 47, 59, 64, 78]
  Template 21422 cells: [4, 9, 26, 30, 38, 51, 59, 64, 79]
  Template 21428 cells: [4, 9, 26, 30, 38, 52, 59, 64, 78]
  Template 21452 cells: [4, 9, 26, 30, 43, 47, 59, 64, 78]
  Template 22856 cells: [4, 11, 25, 30, 36, 53, 59, 64, 78]
  Template 23138 cells: [4, 11, 26, 30, 36, 51, 59, 64, 79]
  Template 23144 cells: [4, 11, 26, 30, 36, 52, 59, 64, 78]
  Template 24008 cells: [4, 15, 20, 30, 36, 53, 59, 64, 79]
  Template 25730 cells: [4, 17, 20, 30, 36, 51, 59, 64, 79]
  Template 25736 cells: [4, 17, 20, 30, 36, 52, 59, 64, 78]
  Template 31160 cells: [6, 9, 21, 29, 40, 53, 59, 64, 79]
  Template 31190 cells: [6, 9, 21, 29, 44, 49, 59, 64, 79]
  Template 31220 cells: [6, 9, 21, 31, 38, 53, 59, 64, 79]
  Template 31244 cells: [6, 9, 21, 31, 44, 47, 59, 64, 79]
  Template 31358 cells: [6, 9, 21, 35, 38, 49, 59, 64, 79]
  Template 31376 cells: [6, 9, 21, 35, 40, 47, 59, 64, 79]
  Template 31508 cells: [6, 9, 22, 30, 38, 53, 59, 64, 79]
  Template 31532 cells: [6, 9, 22, 30, 44, 47, 59, 64, 79]
  Template 32840 cells: [6, 11, 21, 27, 40, 53, 59, 64, 79]
  Template 32870 cells: [6, 11, 21, 27, 44, 49, 59, 64, 79]
  Template 32936 cells: [6, 11, 21, 31, 36, 53, 59, 64, 79]
  Template 33074 cells: [6, 11, 21, 35, 36, 49, 59, 64, 79]
  Template 33224 cells: [6, 11, 22, 30, 36, 53, 59, 64, 79]
  Template 35240 cells: [6, 13, 20, 30, 36, 53, 59, 64, 79]
  Template 36344 cells: [7, 9, 21, 29, 40, 53, 59, 64, 78]
  Template 36374 cells: [7, 9, 21, 29, 44, 49, 59, 64, 78]
  Template 36404 cells: [7, 9, 21, 31, 38, 53, 59, 64, 78]
  Template 36428 cells: [7, 9, 21, 31, 44, 47, 59, 64, 78]
  Template 36542 cells: [7, 9, 21, 35, 38, 49, 59, 64, 78]
  Template 36560 cells: [7, 9, 21, 35, 40, 47, 59, 64, 78]
  Template 36692 cells: [7, 9, 22, 30, 38, 53, 59, 64, 78]
  Template 36716 cells: [7, 9, 22, 30, 44, 47, 59, 64, 78]
  Template 38024 cells: [7, 11, 21, 27, 40, 53, 59, 64, 78]
  Template 38054 cells: [7, 11, 21, 27, 44, 49, 59, 64, 78]
  Template 38120 cells: [7, 11, 21, 31, 36, 53, 59, 64, 78]
  Template 38258 cells: [7, 11, 21, 35, 36, 49, 59, 64, 78]
  Template 38408 cells: [7, 11, 22, 30, 36, 53, 59, 64, 78]
  Template 40424 cells: [7, 13, 20, 30, 36, 53, 59, 64, 78]
Digit 4 (24 templates):
  Template 820 cells: [0, 12, 26, 34, 37, 49, 60, 65, 77]
  Template 829 cells: [0, 12, 26, 34, 38, 49, 55, 69, 77]
  Template 844 cells: [0, 12, 26, 34, 40, 46, 60, 65, 77]
  Template 847 cells: [0, 12, 26, 34, 40, 47, 55, 69, 77]
  Template 6004 cells: [1, 12, 26, 34, 36, 49, 60, 65, 77]
  Template 6013 cells: [1, 12, 26, 34, 38, 49, 54, 69, 77]
  Template 6016 cells: [1, 12, 26, 34, 38, 49, 60, 63, 77]
  Template 6031 cells: [1, 12, 26, 34, 40, 47, 54, 69, 77]
  Template 6034 cells: [1, 12, 26, 34, 40, 47, 60, 63, 77]
  Template 11185 cells: [2, 12, 26, 34, 36, 49, 55, 69, 77]
  Template 11197 cells: [2, 12, 26, 34, 37, 49, 54, 69, 77]
  Template 11200 cells: [2, 12, 26, 34, 37, 49, 60, 63, 77]
  Template 11215 cells: [2, 12, 26, 34, 40, 46, 54, 69, 77]
  Template 11218 cells: [2, 12, 26, 34, 40, 46, 60, 63, 77]
  Template 34180 cells: [6, 12, 19, 34, 36, 49, 62, 65, 77]
  Template 34189 cells: [6, 12, 19, 34, 38, 49, 54, 71, 77]
  Template 34192 cells: [6, 12, 19, 34, 38, 49, 62, 63, 77]
  Template 34207 cells: [6, 12, 19, 34, 40, 47, 54, 71, 77]
  Template 34210 cells: [6, 12, 19, 34, 40, 47, 62, 63, 77]
  Template 34465 cells: [6, 12, 20, 34, 36, 49, 55, 71, 77]
  Template 34477 cells: [6, 12, 20, 34, 37, 49, 54, 71, 77]
  Template 34480 cells: [6, 12, 20, 34, 37, 49, 62, 63, 77]
  Template 34495 cells: [6, 12, 20, 34, 40, 46, 54, 71, 77]
  Template 34498 cells: [6, 12, 20, 34, 40, 46, 62, 63, 77]
Digit 5 (42 templates):
  Template 966 cells: [0, 13, 24, 30, 37, 53, 56, 68, 79]
  Template 996 cells: [0, 13, 24, 30, 44, 46, 56, 68, 79]
  Template 1110 cells: [0, 13, 24, 35, 37, 50, 56, 66, 79]
  Template 1140 cells: [0, 13, 24, 35, 41, 46, 56, 66, 79]
  Template 1825 cells: [0, 14, 24, 30, 37, 52, 56, 71, 76]
  Template 1849 cells: [0, 14, 24, 30, 43, 46, 56, 71, 76]
  Template 1873 cells: [0, 14, 24, 31, 37, 52, 56, 71, 75]
  Template 1878 cells: [0, 14, 24, 31, 37, 53, 56, 66, 79]
  Template 1897 cells: [0, 14, 24, 31, 43, 46, 56, 71, 75]
  Template 1908 cells: [0, 14, 24, 31, 44, 46, 56, 66, 79]
  Template 1974 cells: [0, 14, 24, 35, 37, 49, 56, 66, 79]
  Template 2004 cells: [0, 14, 24, 35, 40, 46, 56, 66, 79]
  Template 6061 cells: [1, 13, 24, 27, 41, 52, 56, 71, 75]
  Template 6066 cells: [1, 13, 24, 27, 41, 53, 56, 66, 79]
  Template 6079 cells: [1, 13, 24, 27, 43, 50, 56, 71, 75]
  Template 6090 cells: [1, 13, 24, 27, 44, 50, 56, 66, 79]
  Template 6150 cells: [1, 13, 24, 30, 36, 53, 56, 68, 79]
  Template 6294 cells: [1, 13, 24, 35, 36, 50, 56, 66, 79]
  Template 6925 cells: [1, 14, 24, 27, 40, 52, 56, 71, 75]
  Template 6930 cells: [1, 14, 24, 27, 40, 53, 56, 66, 79]
  Template 6943 cells: [1, 14, 24, 27, 43, 49, 56, 71, 75]
  Template 6954 cells: [1, 14, 24, 27, 44, 49, 56, 66, 79]
  Template 7009 cells: [1, 14, 24, 30, 36, 52, 56, 71, 76]
  Template 7057 cells: [1, 14, 24, 31, 36, 52, 56, 71, 75]
  Template 7062 cells: [1, 14, 24, 31, 36, 53, 56, 66, 79]
  Template 7158 cells: [1, 14, 24, 35, 36, 49, 56, 66, 79]
  Template 15654 cells: [3, 9, 24, 31, 37, 53, 56, 68, 79]
  Template 15684 cells: [3, 9, 24, 31, 44, 46, 56, 68, 79]
  Template 15792 cells: [3, 9, 24, 35, 37, 49, 56, 68, 79]
  Template 15816 cells: [3, 9, 24, 35, 40, 46, 56, 68, 79]
  Template 20838 cells: [4, 9, 24, 30, 37, 53, 56, 68, 79]
  Template 20868 cells: [4, 9, 24, 30, 44, 46, 56, 68, 79]
  Template 20982 cells: [4, 9, 24, 35, 37, 50, 56, 66, 79]
  Template 21012 cells: [4, 9, 24, 35, 41, 46, 56, 66, 79]
  Template 26017 cells: [5, 9, 24, 30, 37, 52, 56, 71, 76]
  Template 26041 cells: [5, 9, 24, 30, 43, 46, 56, 71, 76]
  Template 26065 cells: [5, 9, 24, 31, 37, 52, 56, 71, 75]
  Template 26070 cells: [5, 9, 24, 31, 37, 53, 56, 66, 79]
  Template 26089 cells: [5, 9, 24, 31, 43, 46, 56, 71, 75]
  Template 26100 cells: [5, 9, 24, 31, 44, 46, 56, 66, 79]
  Template 26166 cells: [5, 9, 24, 35, 37, 49, 56, 66, 79]
  Template 26196 cells: [5, 9, 24, 35, 40, 46, 56, 66, 79]
Digit 6 (28 templates):
  Template 8765 cells: [1, 16, 21, 31, 42, 45, 62, 68, 74]
  Template 9053 cells: [1, 16, 22, 30, 42, 45, 62, 68, 74]
  Template 9339 cells: [1, 16, 23, 30, 42, 45, 58, 71, 74]
  Template 9340 cells: [1, 16, 23, 30, 42, 45, 62, 65, 76]
  Template 9387 cells: [1, 16, 23, 31, 42, 45, 57, 71, 74]
  Template 9388 cells: [1, 16, 23, 31, 42, 45, 62, 65, 75]
  Template 9389 cells: [1, 16, 23, 31, 42, 45, 62, 66, 74]
  Template 13949 cells: [2, 16, 21, 31, 42, 45, 62, 68, 73]
  Template 14237 cells: [2, 16, 22, 30, 42, 45, 62, 68, 73]
  Template 14521 cells: [2, 16, 23, 30, 42, 45, 55, 71, 76]
  Template 14523 cells: [2, 16, 23, 30, 42, 45, 58, 71, 73]
  Template 14569 cells: [2, 16, 23, 31, 42, 45, 55, 71, 75]
  Template 14571 cells: [2, 16, 23, 31, 42, 45, 57, 71, 73]
  Template 14573 cells: [2, 16, 23, 31, 42, 45, 62, 66, 73]
  Template 19421 cells: [3, 16, 19, 31, 42, 45, 62, 68, 74]
  Template 19709 cells: [3, 16, 20, 31, 42, 45, 62, 68, 73]
  Template 24605 cells: [4, 16, 19, 30, 42, 45, 62, 68, 74]
  Template 24893 cells: [4, 16, 20, 30, 42, 45, 62, 68, 73]
  Template 29787 cells: [5, 16, 19, 30, 42, 45, 58, 71, 74]
  Template 29788 cells: [5, 16, 19, 30, 42, 45, 62, 65, 76]
  Template 29835 cells: [5, 16, 19, 31, 42, 45, 57, 71, 74]
  Template 29836 cells: [5, 16, 19, 31, 42, 45, 62, 65, 75]
  Template 29837 cells: [5, 16, 19, 31, 42, 45, 62, 66, 74]
  Template 30073 cells: [5, 16, 20, 30, 42, 45, 55, 71, 76]
  Template 30075 cells: [5, 16, 20, 30, 42, 45, 58, 71, 73]
  Template 30121 cells: [5, 16, 20, 31, 42, 45, 55, 71, 75]
  Template 30123 cells: [5, 16, 20, 31, 42, 45, 57, 71, 73]
  Template 30125 cells: [5, 16, 20, 31, 42, 45, 62, 66, 73]
Digit 7 (57 templates):
  Template 43313 cells: [8, 11, 21, 31, 37, 51, 61, 68, 72]
  Template 43319 cells: [8, 11, 21, 31, 37, 52, 60, 68, 72]
  Template 43343 cells: [8, 11, 21, 31, 43, 46, 60, 68, 72]
  Template 43409 cells: [8, 11, 21, 33, 37, 49, 61, 68, 72]
  Template 43427 cells: [8, 11, 21, 33, 40, 46, 61, 68, 72]
  Template 43601 cells: [8, 11, 22, 30, 37, 51, 61, 68, 72]
  Template 43607 cells: [8, 11, 22, 30, 37, 52, 60, 68, 72]
  Template 43631 cells: [8, 11, 22, 30, 43, 46, 60, 68, 72]
  Template 43703 cells: [8, 11, 22, 33, 37, 50, 61, 66, 72]
  Template 43727 cells: [8, 11, 22, 33, 41, 46, 61, 66, 72]
  Template 43893 cells: [8, 11, 23, 30, 37, 52, 58, 69, 72]
  Template 43917 cells: [8, 11, 23, 30, 43, 46, 58, 69, 72]
  Template 43937 cells: [8, 11, 23, 31, 37, 51, 61, 66, 72]
  Template 43941 cells: [8, 11, 23, 31, 37, 52, 57, 69, 72]
  Template 43943 cells: [8, 11, 23, 31, 37, 52, 60, 66, 72]
  Template 43965 cells: [8, 11, 23, 31, 43, 46, 57, 69, 72]
  Template 43967 cells: [8, 11, 23, 31, 43, 46, 60, 66, 72]
  Template 43991 cells: [8, 11, 23, 33, 37, 49, 61, 66, 72]
  Template 44015 cells: [8, 11, 23, 33, 40, 46, 61, 66, 72]
  Template 45281 cells: [8, 13, 19, 29, 41, 51, 61, 66, 72]
  Template 45285 cells: [8, 13, 19, 29, 41, 52, 57, 69, 72]
  Template 45287 cells: [8, 13, 19, 29, 41, 52, 60, 66, 72]
  Template 45309 cells: [8, 13, 19, 29, 43, 50, 57, 69, 72]
  Template 45311 cells: [8, 13, 19, 29, 43, 50, 60, 66, 72]
  Template 45329 cells: [8, 13, 19, 30, 38, 51, 61, 68, 72]
  Template 45335 cells: [8, 13, 19, 30, 38, 52, 60, 68, 72]
  Template 45359 cells: [8, 13, 19, 30, 43, 47, 60, 68, 72]
  Template 45431 cells: [8, 13, 19, 33, 38, 50, 61, 66, 72]
  Template 45455 cells: [8, 13, 19, 33, 41, 47, 61, 66, 72]
  Template 45617 cells: [8, 13, 20, 30, 37, 51, 61, 68, 72]
  Template 45623 cells: [8, 13, 20, 30, 37, 52, 60, 68, 72]
  Template 45647 cells: [8, 13, 20, 30, 43, 46, 60, 68, 72]
  Template 45719 cells: [8, 13, 20, 33, 37, 50, 61, 66, 72]
  Template 45743 cells: [8, 13, 20, 33, 41, 46, 61, 66, 72]
  Template 46145 cells: [8, 14, 19, 29, 40, 51, 61, 66, 72]
  Template 46149 cells: [8, 14, 19, 29, 40, 52, 57, 69, 72]
  Template 46151 cells: [8, 14, 19, 29, 40, 52, 60, 66, 72]
  Template 46173 cells: [8, 14, 19, 29, 43, 49, 57, 69, 72]
  Template 46175 cells: [8, 14, 19, 29, 43, 49, 60, 66, 72]
  Template 46197 cells: [8, 14, 19, 30, 38, 52, 58, 69, 72]
  Template 46221 cells: [8, 14, 19, 30, 43, 47, 58, 69, 72]
  Template 46241 cells: [8, 14, 19, 31, 38, 51, 61, 66, 72]
  Template 46245 cells: [8, 14, 19, 31, 38, 52, 57, 69, 72]
  Template 46247 cells: [8, 14, 19, 31, 38, 52, 60, 66, 72]
  Template 46269 cells: [8, 14, 19, 31, 43, 47, 57, 69, 72]
  Template 46271 cells: [8, 14, 19, 31, 43, 47, 60, 66, 72]
  Template 46295 cells: [8, 14, 19, 33, 38, 49, 61, 66, 72]
  Template 46319 cells: [8, 14, 19, 33, 40, 47, 61, 66, 72]
  Template 46485 cells: [8, 14, 20, 30, 37, 52, 58, 69, 72]
  Template 46509 cells: [8, 14, 20, 30, 43, 46, 58, 69, 72]
  Template 46529 cells: [8, 14, 20, 31, 37, 51, 61, 66, 72]
  Template 46533 cells: [8, 14, 20, 31, 37, 52, 57, 69, 72]
  Template 46535 cells: [8, 14, 20, 31, 37, 52, 60, 66, 72]
  Template 46557 cells: [8, 14, 20, 31, 43, 46, 57, 69, 72]
  Template 46559 cells: [8, 14, 20, 31, 43, 46, 60, 66, 72]
  Template 46583 cells: [8, 14, 20, 33, 37, 49, 61, 66, 72]
  Template 46607 cells: [8, 14, 20, 33, 40, 46, 61, 66, 72]
Digit 8 (144 templates):
  Template 2069 cells: [0, 14, 25, 29, 39, 51, 62, 67, 73]
  Template 2070 cells: [0, 14, 25, 29, 39, 53, 55, 67, 78]
  Template 2075 cells: [0, 14, 25, 29, 39, 53, 60, 67, 73]
  Template 2237 cells: [0, 14, 25, 33, 39, 46, 62, 67, 74]
  Template 2243 cells: [0, 14, 25, 33, 39, 47, 62, 67, 73]
  Template 2285 cells: [0, 14, 25, 35, 39, 46, 60, 67, 74]
  Template 2286 cells: [0, 14, 25, 35, 39, 47, 55, 67, 78]
  Template 2291 cells: [0, 14, 25, 35, 39, 47, 60, 67, 73]
  Template 2352 cells: [0, 14, 26, 29, 39, 51, 55, 67, 79]
  Template 2357 cells: [0, 14, 26, 29, 39, 51, 61, 67, 73]
  Template 2358 cells: [0, 14, 26, 29, 39, 52, 55, 67, 78]
  Template 2363 cells: [0, 14, 26, 29, 39, 52, 60, 67, 73]
  Template 2525 cells: [0, 14, 26, 33, 39, 46, 61, 67, 74]
  Template 2526 cells: [0, 14, 26, 33, 39, 47, 55, 67, 79]
  Template 2531 cells: [0, 14, 26, 33, 39, 47, 61, 67, 73]
  Template 3221 cells: [0, 15, 23, 29, 39, 52, 62, 67, 73]
  Template 3222 cells: [0, 15, 23, 29, 39, 53, 55, 67, 79]
  Template 3227 cells: [0, 15, 23, 29, 39, 53, 61, 67, 73]
  Template 3437 cells: [0, 15, 23, 35, 39, 46, 61, 67, 74]
  Template 3438 cells: [0, 15, 23, 35, 39, 47, 55, 67, 79]
  Template 3443 cells: [0, 15, 23, 35, 39, 47, 61, 67, 73]
  Template 4944 cells: [0, 17, 23, 29, 39, 51, 55, 67, 79]
  Template 4949 cells: [0, 17, 23, 29, 39, 51, 61, 67, 73]
  Template 4950 cells: [0, 17, 23, 29, 39, 52, 55, 67, 78]
  Template 4955 cells: [0, 17, 23, 29, 39, 52, 60, 67, 73]
  Template 5117 cells: [0, 17, 23, 33, 39, 46, 61, 67, 74]
  Template 5118 cells: [0, 17, 23, 33, 39, 47, 55, 67, 79]
  Template 5123 cells: [0, 17, 23, 33, 39, 47, 61, 67, 73]
  Template 7205 cells: [1, 14, 25, 27, 39, 51, 62, 67, 74]
  Template 7211 cells: [1, 14, 25, 27, 39, 53, 60, 67, 74]
  Template 7254 cells: [1, 14, 25, 29, 39, 53, 54, 67, 78]
  Template 7470 cells: [1, 14, 25, 35, 39, 47, 54, 67, 78]
  Template 7493 cells: [1, 14, 26, 27, 39, 51, 61, 67, 74]
  Template 7499 cells: [1, 14, 26, 27, 39, 52, 60, 67, 74]
  Template 7536 cells: [1, 14, 26, 29, 39, 51, 54, 67, 79]
  Template 7542 cells: [1, 14, 26, 29, 39, 52, 54, 67, 78]
  Template 7710 cells: [1, 14, 26, 33, 39, 47, 54, 67, 79]
  Template 8357 cells: [1, 15, 23, 27, 39, 52, 62, 67, 74]
  Template 8363 cells: [1, 15, 23, 27, 39, 53, 61, 67, 74]
  Template 8406 cells: [1, 15, 23, 29, 39, 53, 54, 67, 79]
  Template 8622 cells: [1, 15, 23, 35, 39, 47, 54, 67, 79]
  Template 10085 cells: [1, 17, 23, 27, 39, 51, 61, 67, 74]
  Template 10091 cells: [1, 17, 23, 27, 39, 52, 60, 67, 74]
  Template 10128 cells: [1, 17, 23, 29, 39, 51, 54, 67, 79]
  Template 10134 cells: [1, 17, 23, 29, 39, 52, 54, 67, 78]
  Template 10302 cells: [1, 17, 23, 33, 39, 47, 54, 67, 79]
  Template 12389 cells: [2, 14, 25, 27, 39, 51, 62, 67, 73]
  Template 12390 cells: [2, 14, 25, 27, 39, 53, 55, 67, 78]
  Template 12395 cells: [2, 14, 25, 27, 39, 53, 60, 67, 73]
  Template 12654 cells: [2, 14, 25, 35, 39, 46, 54, 67, 78]
  Template 12672 cells: [2, 14, 26, 27, 39, 51, 55, 67, 79]
  Template 12677 cells: [2, 14, 26, 27, 39, 51, 61, 67, 73]
  Template 12678 cells: [2, 14, 26, 27, 39, 52, 55, 67, 78]
  Template 12683 cells: [2, 14, 26, 27, 39, 52, 60, 67, 73]
  Template 12894 cells: [2, 14, 26, 33, 39, 46, 54, 67, 79]
  Template 13541 cells: [2, 15, 23, 27, 39, 52, 62, 67, 73]
  Template 13542 cells: [2, 15, 23, 27, 39, 53, 55, 67, 79]
  Template 13547 cells: [2, 15, 23, 27, 39, 53, 61, 67, 73]
  Template 13806 cells: [2, 15, 23, 35, 39, 46, 54, 67, 79]
  Template 15264 cells: [2, 17, 23, 27, 39, 51, 55, 67, 79]
  Template 15269 cells: [2, 17, 23, 27, 39, 51, 61, 67, 73]
  Template 15270 cells: [2, 17, 23, 27, 39, 52, 55, 67, 78]
  Template 15275 cells: [2, 17, 23, 27, 39, 52, 60, 67, 73]
  Template 15486 cells: [2, 17, 23, 33, 39, 46, 54, 67, 79]
  Template 26261 cells: [5, 9, 25, 29, 39, 51, 62, 67, 73]
  Template 26262 cells: [5, 9, 25, 29, 39, 53, 55, 67, 78]
  Template 26267 cells: [5, 9, 25, 29, 39, 53, 60, 67, 73]
  Template 26429 cells: [5, 9, 25, 33, 39, 46, 62, 67, 74]
  Template 26435 cells: [5, 9, 25, 33, 39, 47, 62, 67, 73]
  Template 26477 cells: [5, 9, 25, 35, 39, 46, 60, 67, 74]
  Template 26478 cells: [5, 9, 25, 35, 39, 47, 55, 67, 78]
  Template 26483 cells: [5, 9, 25, 35, 39, 47, 60, 67, 73]
  Template 26544 cells: [5, 9, 26, 29, 39, 51, 55, 67, 79]
  Template 26549 cells: [5, 9, 26, 29, 39, 51, 61, 67, 73]
  Template 26550 cells: [5, 9, 26, 29, 39, 52, 55, 67, 78]
  Template 26555 cells: [5, 9, 26, 29, 39, 52, 60, 67, 73]
  Template 26717 cells: [5, 9, 26, 33, 39, 46, 61, 67, 74]
  Template 26718 cells: [5, 9, 26, 33, 39, 47, 55, 67, 79]
  Template 26723 cells: [5, 9, 26, 33, 39, 47, 61, 67, 73]
  Template 27941 cells: [5, 11, 25, 27, 39, 51, 62, 67, 73]
  Template 27942 cells: [5, 11, 25, 27, 39, 53, 55, 67, 78]
  Template 27947 cells: [5, 11, 25, 27, 39, 53, 60, 67, 73]
  Template 28206 cells: [5, 11, 25, 35, 39, 46, 54, 67, 78]
  Template 28224 cells: [5, 11, 26, 27, 39, 51, 55, 67, 79]
  Template 28229 cells: [5, 11, 26, 27, 39, 51, 61, 67, 73]
  Template 28230 cells: [5, 11, 26, 27, 39, 52, 55, 67, 78]
  Template 28235 cells: [5, 11, 26, 27, 39, 52, 60, 67, 73]
  Template 28446 cells: [5, 11, 26, 33, 39, 46, 54, 67, 79]
  Template 28805 cells: [5, 15, 19, 27, 39, 52, 62, 67, 74]
  Template 28811 cells: [5, 15, 19, 27, 39, 53, 61, 67, 74]
  Template 28854 cells: [5, 15, 19, 29, 39, 53, 54, 67, 79]
  Template 29070 cells: [5, 15, 19, 35, 39, 47, 54, 67, 79]
  Template 29093 cells: [5, 15, 20, 27, 39, 52, 62, 67, 73]
  Template 29094 cells: [5, 15, 20, 27, 39, 53, 55, 67, 79]
  Template 29099 cells: [5, 15, 20, 27, 39, 53, 61, 67, 73]
  Template 29358 cells: [5, 15, 20, 35, 39, 46, 54, 67, 79]
  Template 30533 cells: [5, 17, 19, 27, 39, 51, 61, 67, 74]
  Template 30539 cells: [5, 17, 19, 27, 39, 52, 60, 67, 74]
  Template 30576 cells: [5, 17, 19, 29, 39, 51, 54, 67, 79]
  Template 30582 cells: [5, 17, 19, 29, 39, 52, 54, 67, 78]
  Template 30750 cells: [5, 17, 19, 33, 39, 47, 54, 67, 79]
  Template 30816 cells: [5, 17, 20, 27, 39, 51, 55, 67, 79]
  Template 30821 cells: [5, 17, 20, 27, 39, 51, 61, 67, 73]
  Template 30822 cells: [5, 17, 20, 27, 39, 52, 55, 67, 78]
  Template 30827 cells: [5, 17, 20, 27, 39, 52, 60, 67, 73]
  Template 31038 cells: [5, 17, 20, 33, 39, 46, 54, 67, 79]
  Template 31733 cells: [6, 9, 23, 29, 39, 52, 62, 67, 73]
  Template 31734 cells: [6, 9, 23, 29, 39, 53, 55, 67, 79]
  Template 31739 cells: [6, 9, 23, 29, 39, 53, 61, 67, 73]
  Template 31949 cells: [6, 9, 23, 35, 39, 46, 61, 67, 74]
  Template 31950 cells: [6, 9, 23, 35, 39, 47, 55, 67, 79]
  Template 31955 cells: [6, 9, 23, 35, 39, 47, 61, 67, 73]
  Template 33413 cells: [6, 11, 23, 27, 39, 52, 62, 67, 73]
  Template 33414 cells: [6, 11, 23, 27, 39, 53, 55, 67, 79]
  Template 33419 cells: [6, 11, 23, 27, 39, 53, 61, 67, 73]
  Template 33678 cells: [6, 11, 23, 35, 39, 46, 54, 67, 79]
  Template 35717 cells: [6, 14, 19, 27, 39, 52, 62, 67, 74]
  Template 35723 cells: [6, 14, 19, 27, 39, 53, 61, 67, 74]
  Template 35766 cells: [6, 14, 19, 29, 39, 53, 54, 67, 79]
  Template 35982 cells: [6, 14, 19, 35, 39, 47, 54, 67, 79]
  Template 36005 cells: [6, 14, 20, 27, 39, 52, 62, 67, 73]
  Template 36006 cells: [6, 14, 20, 27, 39, 53, 55, 67, 79]
  Template 36011 cells: [6, 14, 20, 27, 39, 53, 61, 67, 73]
  Template 36270 cells: [6, 14, 20, 35, 39, 46, 54, 67, 79]
  Template 36917 cells: [7, 9, 23, 29, 39, 51, 62, 67, 73]
  Template 36918 cells: [7, 9, 23, 29, 39, 53, 55, 67, 78]
  Template 36923 cells: [7, 9, 23, 29, 39, 53, 60, 67, 73]
  Template 37085 cells: [7, 9, 23, 33, 39, 46, 62, 67, 74]
  Template 37091 cells: [7, 9, 23, 33, 39, 47, 62, 67, 73]
  Template 37133 cells: [7, 9, 23, 35, 39, 46, 60, 67, 74]
  Template 37134 cells: [7, 9, 23, 35, 39, 47, 55, 67, 78]
  Template 37139 cells: [7, 9, 23, 35, 39, 47, 60, 67, 73]
  Template 38597 cells: [7, 11, 23, 27, 39, 51, 62, 67, 73]
  Template 38598 cells: [7, 11, 23, 27, 39, 53, 55, 67, 78]
  Template 38603 cells: [7, 11, 23, 27, 39, 53, 60, 67, 73]
  Template 38862 cells: [7, 11, 23, 35, 39, 46, 54, 67, 78]
  Template 40901 cells: [7, 14, 19, 27, 39, 51, 62, 67, 74]
  Template 40907 cells: [7, 14, 19, 27, 39, 53, 60, 67, 74]
  Template 40950 cells: [7, 14, 19, 29, 39, 53, 54, 67, 78]
  Template 41166 cells: [7, 14, 19, 35, 39, 47, 54, 67, 78]
  Template 41189 cells: [7, 14, 20, 27, 39, 51, 62, 67, 73]
  Template 41190 cells: [7, 14, 20, 27, 39, 53, 55, 67, 78]
  Template 41195 cells: [7, 14, 20, 27, 39, 53, 60, 67, 73]
  Template 41454 cells: [7, 14, 20, 35, 39, 46, 54, 67, 78]
Digit 9 (88 templates):
  Template 1193 cells: [0, 13, 25, 28, 44, 48, 60, 68, 74]
  Template 1481 cells: [0, 13, 26, 28, 43, 48, 60, 68, 74]
  Template 2054 cells: [0, 14, 25, 28, 44, 48, 58, 65, 78]
  Template 2055 cells: [0, 14, 25, 28, 44, 48, 58, 69, 74]
  Template 2056 cells: [0, 14, 25, 28, 44, 48, 60, 65, 76]
  Template 2342 cells: [0, 14, 26, 28, 43, 48, 58, 65, 78]
  Template 2343 cells: [0, 14, 26, 28, 43, 48, 58, 69, 74]
  Template 2344 cells: [0, 14, 26, 28, 43, 48, 60, 65, 76]
  Template 2909 cells: [0, 15, 22, 28, 43, 48, 62, 68, 74]
  Template 2921 cells: [0, 15, 22, 28, 44, 48, 61, 68, 74]
  Template 3195 cells: [0, 15, 23, 28, 43, 48, 58, 71, 74]
  Template 3196 cells: [0, 15, 23, 28, 43, 48, 62, 65, 76]
  Template 3206 cells: [0, 15, 23, 28, 44, 48, 58, 65, 79]
  Template 3208 cells: [0, 15, 23, 28, 44, 48, 61, 65, 76]
  Template 4649 cells: [0, 17, 22, 28, 43, 48, 60, 68, 74]
  Template 4934 cells: [0, 17, 23, 28, 43, 48, 58, 65, 78]
  Template 4935 cells: [0, 17, 23, 28, 43, 48, 58, 69, 74]
  Template 4936 cells: [0, 17, 23, 28, 43, 48, 60, 65, 76]
  Template 11604 cells: [2, 13, 25, 28, 44, 48, 54, 68, 78]
  Template 11892 cells: [2, 13, 26, 28, 43, 48, 54, 68, 78]
  Template 12469 cells: [2, 14, 25, 28, 44, 48, 54, 69, 76]
  Template 12470 cells: [2, 14, 25, 28, 44, 48, 58, 63, 78]
  Template 12472 cells: [2, 14, 25, 28, 44, 48, 60, 63, 76]
  Template 12757 cells: [2, 14, 26, 28, 43, 48, 54, 69, 76]
  Template 12758 cells: [2, 14, 26, 28, 43, 48, 58, 63, 78]
  Template 12760 cells: [2, 14, 26, 28, 43, 48, 60, 63, 76]
  Template 13332 cells: [2, 15, 22, 28, 44, 48, 54, 68, 79]
  Template 13609 cells: [2, 15, 23, 28, 43, 48, 54, 71, 76]
  Template 13612 cells: [2, 15, 23, 28, 43, 48, 62, 63, 76]
  Template 13622 cells: [2, 15, 23, 28, 44, 48, 58, 63, 79]
  Template 13624 cells: [2, 15, 23, 28, 44, 48, 61, 63, 76]
  Template 15060 cells: [2, 17, 22, 28, 43, 48, 54, 68, 78]
  Template 15349 cells: [2, 17, 23, 28, 43, 48, 54, 69, 76]
  Template 15350 cells: [2, 17, 23, 28, 43, 48, 58, 63, 78]
  Template 15352 cells: [2, 17, 23, 28, 43, 48, 60, 63, 76]
  Template 21065 cells: [4, 9, 25, 28, 44, 48, 60, 68, 74]
  Template 21353 cells: [4, 9, 26, 28, 43, 48, 60, 68, 74]
  Template 22836 cells: [4, 11, 25, 28, 44, 48, 54, 68, 78]
  Template 23124 cells: [4, 11, 26, 28, 43, 48, 54, 68, 78]
  Template 23988 cells: [4, 15, 20, 28, 44, 48, 54, 68, 79]
  Template 25716 cells: [4, 17, 20, 28, 43, 48, 54, 68, 78]
  Template 26246 cells: [5, 9, 25, 28, 44, 48, 58, 65, 78]
  Template 26247 cells: [5, 9, 25, 28, 44, 48, 58, 69, 74]
  Template 26248 cells: [5, 9, 25, 28, 44, 48, 60, 65, 76]
  Template 26534 cells: [5, 9, 26, 28, 43, 48, 58, 65, 78]
  Template 26535 cells: [5, 9, 26, 28, 43, 48, 58, 69, 74]
  Template 26536 cells: [5, 9, 26, 28, 43, 48, 60, 65, 76]
  Template 28021 cells: [5, 11, 25, 28, 44, 48, 54, 69, 76]
  Template 28022 cells: [5, 11, 25, 28, 44, 48, 58, 63, 78]
  Template 28024 cells: [5, 11, 25, 28, 44, 48, 60, 63, 76]
  Template 28309 cells: [5, 11, 26, 28, 43, 48, 54, 69, 76]
  Template 28310 cells: [5, 11, 26, 28, 43, 48, 58, 63, 78]
  Template 28312 cells: [5, 11, 26, 28, 43, 48, 60, 63, 76]
  Template 29161 cells: [5, 15, 20, 28, 43, 48, 54, 71, 76]
  Template 29164 cells: [5, 15, 20, 28, 43, 48, 62, 63, 76]
  Template 29174 cells: [5, 15, 20, 28, 44, 48, 58, 63, 79]
  Template 29176 cells: [5, 15, 20, 28, 44, 48, 61, 63, 76]
  Template 30901 cells: [5, 17, 20, 28, 43, 48, 54, 69, 76]
  Template 30902 cells: [5, 17, 20, 28, 43, 48, 58, 63, 78]
  Template 30904 cells: [5, 17, 20, 28, 43, 48, 60, 63, 76]
  Template 31421 cells: [6, 9, 22, 28, 43, 48, 62, 68, 74]
  Template 31433 cells: [6, 9, 22, 28, 44, 48, 61, 68, 74]
  Template 31707 cells: [6, 9, 23, 28, 43, 48, 58, 71, 74]
  Template 31708 cells: [6, 9, 23, 28, 43, 48, 62, 65, 76]
  Template 31718 cells: [6, 9, 23, 28, 44, 48, 58, 65, 79]
  Template 31720 cells: [6, 9, 23, 28, 44, 48, 61, 65, 76]
  Template 33204 cells: [6, 11, 22, 28, 44, 48, 54, 68, 79]
  Template 33481 cells: [6, 11, 23, 28, 43, 48, 54, 71, 76]
  Template 33484 cells: [6, 11, 23, 28, 43, 48, 62, 63, 76]
  Template 33494 cells: [6, 11, 23, 28, 44, 48, 58, 63, 79]
  Template 33496 cells: [6, 11, 23, 28, 44, 48, 61, 63, 76]
  Template 35220 cells: [6, 13, 20, 28, 44, 48, 54, 68, 79]
  Template 36073 cells: [6, 14, 20, 28, 43, 48, 54, 71, 76]
  Template 36076 cells: [6, 14, 20, 28, 43, 48, 62, 63, 76]
  Template 36086 cells: [6, 14, 20, 28, 44, 48, 58, 63, 79]
  Template 36088 cells: [6, 14, 20, 28, 44, 48, 61, 63, 76]
  Template 36617 cells: [7, 9, 22, 28, 44, 48, 60, 68, 74]
  Template 36902 cells: [7, 9, 23, 28, 44, 48, 58, 65, 78]
  Template 36903 cells: [7, 9, 23, 28, 44, 48, 58, 69, 74]
  Template 36904 cells: [7, 9, 23, 28, 44, 48, 60, 65, 76]
  Template 38388 cells: [7, 11, 22, 28, 44, 48, 54, 68, 78]
  Template 38677 cells: [7, 11, 23, 28, 44, 48, 54, 69, 76]
  Template 38678 cells: [7, 11, 23, 28, 44, 48, 58, 63, 78]
  Template 38680 cells: [7, 11, 23, 28, 44, 48, 60, 63, 76]
  Template 40404 cells: [7, 13, 20, 28, 44, 48, 54, 68, 78]
  Template 41269 cells: [7, 14, 20, 28, 44, 48, 54, 69, 76]
  Template 41270 cells: [7, 14, 20, 28, 44, 48, 58, 63, 78]
  Template 41272 cells: [7, 14, 20, 28, 44, 48, 60, 63, 76]


output: Show

Code: Select all

Digit 1: 42 templates
Digit 2: 10 templates
Digit 3: 113 templates
Digit 4: 24 templates
Digit 5: 42 templates
Digit 6: 28 templates
Digit 7: 57 templates
Digit 8: 144 templates
Digit 9: 88 templates
Total templates remaining: 548
Row 1: [3, 4, 5, 8, 9][4, 5, 6, 8][3, 4, 6, 8, 9][1, 2, 3, 5, 6][1, 2, 3, 5, 6, 9][1, 5, 6, 8, 9][1, 2, 3, 4, 8, 9][1, 3, 8, 9][7]     
Row 2: [3, 5, 8, 9][2]      [3, 7, 8, 9][4]      [1, 3, 5, 7, 9][1, 5, 7, 8, 9][1, 3, 8, 9][6]      [3, 8, 9]
Row 3: [1]      [4, 6, 7, 8][3, 4, 6, 7, 8, 9][2, 3, 6, 7][2, 3, 6, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][2, 3, 4, 8, 9]
Row 4: [3, 5, 8][9]      [1, 3, 7, 8][1, 3, 5, 6, 7][1, 3, 5, 6, 7][2]      [1, 3, 7, 8][4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 4, 5, 7][1, 2, 3, 4, 7][8]      [1, 3, 4, 5, 7][1, 5, 7][6]      [1, 3, 5, 7, 9][2, 3, 5, 9]
Row 6: [6]      [1, 4, 5, 7, 8][1, 2, 3, 4, 7, 8][9]      [1, 3, 4, 5, 7][1, 5, 7][1, 2, 3, 7, 8][1, 3, 5, 7, 8][2, 3, 5, 8]
Row 7: [2, 4, 8, 9][1, 4, 6, 8][5]      [1, 2, 6, 7][1, 2, 6, 7, 9][3]      [4, 7, 8, 9][7, 8, 9][4, 6, 8, 9]
Row 8: [4, 9]   [3]      [1, 4, 6, 9][1, 5, 6, 7][8]      [1, 5, 6, 7, 9][4, 7, 9][2]      [4, 5, 6, 9]
Row 9: [7]      [6, 8]   [2, 6, 8, 9][2, 5, 6][2, 5, 6, 9][4]      [3, 8, 9][3, 5, 8, 9][1]     
HIDDEN-SUBSET: digits=2,4 cells=b3p19 sector=20 size=2
  -> eliminate digit 1 templates={34620, 34638, 34668, 34686, 35484, 35502, 35522, 35546, 35570, 35580, 35594, 35598}
  -> eliminate digit 3 templates={1550, 1556, 1580, 11906, 11912, 16178, 16184, 16214, 16238, 16244, 16268, 16334, 16352, 17858, 17864, 17894, 17954, 17960, 18050, 21422, 21428, 21452, 23138, 23144, 31160, 31190, 31220, 31244, 31358, 31376, 31508, 31532, 32840, 32870, 32936, 33074, 33224, 35240}
  -> eliminate digit 8 templates={2352, 2357, 2358, 2363, 2525, 2526, 2531, 7493, 7499, 7536, 7542, 7710, 12672, 12677, 12678, 12683, 12894, 26544, 26549, 26550, 26555, 26717, 26718, 26723, 28224, 28229, 28230, 28235, 28446, 31733, 31734, 31739, 31949, 31950, 31955, 33413, 33414, 33419, 33678, 35717, 35723, 35766, 35982, 36005, 36006, 36011, 36270}
  -> eliminate digit 9 templates={1481, 2342, 2343, 2344, 11892, 12757, 12758, 12760, 21353, 23124, 26534, 26535, 26536, 28309, 28310, 28312, 31421, 31433, 31707, 31708, 31718, 31720, 33204, 33481, 33484, 33494, 33496, 35220, 36073, 36076, 36086, 36088}
Digit 1: 30 templates
Digit 2: 10 templates
Digit 3: 75 templates
Digit 4: 24 templates
Digit 5: 42 templates
Digit 6: 28 templates
Digit 7: 57 templates
Digit 8: 97 templates
Digit 9: 56 templates
Total templates remaining: 419
Row 1: [3, 4, 5, 8, 9][4, 5, 6, 8][3, 4, 6, 8, 9][1, 2, 3, 5, 6][1, 2, 3, 5, 6, 9][1, 5, 6, 8, 9][2, 4]   [1, 3, 8, 9][7]     
Row 2: [3, 5, 8, 9][2]      [3, 7, 8, 9][4]      [1, 3, 5, 7, 9][1, 5, 7, 8, 9][1, 3, 8, 9][6]      [3, 8, 9]
Row 3: [1]      [4, 6, 7, 8][3, 4, 6, 7, 8, 9][2, 3, 6, 7][2, 3, 6, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][2, 4]   
Row 4: [3, 5, 8][9]      [1, 3, 7, 8][1, 3, 5, 6, 7][1, 3, 5, 6, 7][2]      [1, 3, 7, 8][4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 4, 5, 7][1, 2, 3, 4, 7][8]      [1, 3, 4, 5, 7][1, 5, 7][6]      [1, 3, 5, 7, 9][2, 3, 5, 9]
Row 6: [6]      [1, 4, 5, 7, 8][1, 2, 3, 4, 7, 8][9]      [1, 3, 4, 5, 7][1, 5, 7][1, 2, 3, 7, 8][1, 3, 5, 7, 8][2, 3, 5, 8]
Row 7: [2, 4, 8, 9][1, 4, 6, 8][5]      [1, 2, 6, 7][1, 2, 6, 7, 9][3]      [4, 7, 8, 9][7, 8, 9][4, 6, 8, 9]
Row 8: [4, 9]   [3]      [1, 4, 6, 9][1, 5, 6, 7][8]      [1, 5, 6, 7, 9][4, 7, 9][2]      [4, 5, 6, 9]
Row 9: [7]      [6, 8]   [2, 6, 8, 9][2, 5, 6][2, 5, 6, 9][4]      [3, 8, 9][3, 5, 8, 9][1]     
T2-delete: digit 1 template 28572 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 28590 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 28668 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 28686 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 39852 cannot form Template[2] with digits {1,7}
T2-delete: digit 1 template 40668 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 40764 cannot form Template[2] with digits {1,6}
T2-delete: digit 1 template 40818 cannot form Template[2] with digits {1,8}
T2-delete: digit 3 template 1268 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 1292 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 2648 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 2708 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 2732 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 2996 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 3020 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 4718 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 11624 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 12998 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 13064 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 13352 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 14786 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 14882 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 15074 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 17606 cannot form Template[2] with digits {3,8}
T2-delete: digit 3 template 17672 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 18758 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 18824 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 20450 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 20546 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 20552 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 21140 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 21164 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 24008 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 25730 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 36344 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 36374 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 36404 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 36428 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 36692 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 36716 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 38120 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 38408 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 40424 cannot form Template[2] with digits {3,1}
T2-delete: digit 5 template 966 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 996 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1110 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 1140 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 1878 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1908 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1974 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 2004 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 6150 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 6930 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 6954 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 7009 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 7057 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 7062 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 7158 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 15684 cannot form Template[2] with digits {5,8}
T2-delete: digit 5 template 20868 cannot form Template[2] with digits {5,8}
T2-delete: digit 5 template 26070 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26100 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26166 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26196 cannot form Template[2] with digits {5,3}
T2-delete: digit 6 template 9389 cannot form Template[2] with digits {6,4}
T2-delete: digit 7 template 43943 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 43967 cannot form Template[2] with digits {7,8}
T2-delete: digit 7 template 43991 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 44015 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45329 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45335 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45359 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45617 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45623 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45647 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46151 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46175 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46241 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46247 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 46271 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46295 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46319 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46529 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46535 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46559 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46583 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46607 cannot form Template[2] with digits {7,1}
T2-delete: digit 8 template 2070 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 3222 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 7254 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 7470 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 8357 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 8406 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 10128 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 10134 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 10302 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 12390 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 12654 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 13541 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 13542 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 13806 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 15264 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 15270 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 26261 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 26262 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 26429 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 26435 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 26478 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 27942 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 28206 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 28805 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 28854 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 29070 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 29094 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 29358 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 30533 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 30539 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 30576 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 30582 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 30816 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 30822 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 31038 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 36917 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 36918 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 37091 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 38597 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 38598 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 40907 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 40950 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 41190 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 41195 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 41454 cannot form Template[2] with digits {8,4}
T2-delete: digit 9 template 1193 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 2054 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 3195 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 3196 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 3206 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 4934 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 11604 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 13332 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 13609 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 15060 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 21065 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 22836 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 25716 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 26246 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 28021 cannot form Template[2] with digits {9,6}
T2-delete: digit 9 template 28022 cannot form Template[2] with digits {9,6}
T2-delete: digit 9 template 29161 cannot form Template[2] with digits {9,8}
T2-delete: digit 9 template 30902 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 36902 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 38388 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 40404 cannot form Template[2] with digits {9,1}
Digit 1: 22 templates
Digit 2: 10 templates
Digit 3: 40 templates
Digit 4: 24 templates
Digit 5: 21 templates
Digit 6: 27 templates
Digit 7: 35 templates
Digit 8: 52 templates
Digit 9: 35 templates
Total templates remaining: 266
Row 1: [3, 4, 5, 8, 9][4, 5, 6, 8][3, 4, 6, 8, 9][1, 2, 3, 5, 6][1, 2, 3, 5, 6, 9][1, 5, 6, 8, 9][2, 4]   [1, 3, 8, 9][7]     
Row 2: [3, 5, 8, 9][2]      [3, 7, 8, 9][4]      [1, 5, 7][1, 5, 7, 8, 9][1, 3, 8, 9][6]      [3, 8, 9]
Row 3: [1]      [4, 6, 7, 8][3, 4, 6, 7, 8, 9][2, 3, 6, 7][2, 3, 6, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][2, 4]   
Row 4: [3, 5, 8][9]      [1, 3, 7, 8][1, 3, 5, 6, 7][1, 3, 5, 6, 7][2]      [1, 3, 7, 8][4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 4, 5, 7][1, 2, 3, 4, 7][8]      [1, 3, 4, 5, 7][1, 5, 7][6]      [1, 3, 5, 7, 9][2, 3, 5, 9]
Row 6: [6]      [1, 4, 5, 7, 8][1, 2, 3, 4, 7, 8][9]      [1, 3, 4, 5, 7][1, 5, 7][1, 2, 3, 7, 8][1, 3, 5, 7, 8][2, 3, 5, 8]
Row 7: [2, 4, 8, 9][1, 4, 6, 8][5]      [1, 2, 6, 7][1, 2, 6, 7, 9][3]      [4, 7, 8, 9][7, 8, 9][4, 6, 8, 9]
Row 8: [4, 9]   [3]      [1, 4, 6, 9][1, 5, 6, 7][8]      [1, 5, 6, 7, 9][4, 7, 9][2]      [4, 5, 6]
Row 9: [7]      [6, 8]   [2, 6, 8, 9][2, 5, 6][2, 5, 6, 9][4]      [3, 8, 9][3, 5, 8, 9][1]     
T2-delete: digit 1 template 23436 cannot form Template[2] with digits {1,2}
T2-delete: digit 1 template 23454 cannot form Template[2] with digits {1,2}
T2-delete: digit 3 template 2678 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 2846 cannot form Template[2] with digits {3,2}
T2-delete: digit 3 template 2864 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 4370 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 4544 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 12968 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 13202 cannot form Template[2] with digits {3,5}
T2-delete: digit 3 template 14690 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 15080 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 15956 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 15980 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 18728 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 20486 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 38054 cannot form Template[2] with digits {3,5}
T2-delete: digit 6 template 14521 cannot form Template[2] with digits {6,9}
T2-delete: digit 6 template 30073 cannot form Template[2] with digits {6,9}
T2-delete: digit 7 template 43937 cannot form Template[2] with digits {7,8}
T2-delete: digit 7 template 45311 cannot form Template[2] with digits {7,9}
T2-delete: digit 7 template 46145 cannot form Template[2] with digits {7,8}
T2-delete: digit 7 template 46245 cannot form Template[2] with digits {7,6}
T2-delete: digit 7 template 46533 cannot form Template[2] with digits {7,6}
T2-delete: digit 7 template 46557 cannot form Template[2] with digits {7,6}
T2-delete: digit 8 template 2285 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 2286 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 3437 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 4949 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 8363 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 28811 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 30750 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 36923 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 37085 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 37134 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 38862 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 41166 cannot form Template[2] with digits {8,4}
T2-delete: digit 9 template 4649 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 4935 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 4936 cannot form Template[2] with digits {9,2}
T2-delete: digit 9 template 29164 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 36617 cannot form Template[2] with digits {9,7}
T2-delete: digit 9 template 36904 cannot form Template[2] with digits {9,2}
T2-delete: digit 9 template 41270 cannot form Template[2] with digits {9,6}
Digit 1: 20 templates
Digit 2: 10 templates
Digit 3: 26 templates
Digit 4: 24 templates
Digit 5: 21 templates
Digit 6: 25 templates
Digit 7: 29 templates
Digit 8: 40 templates
Digit 9: 28 templates
Total templates remaining: 223
Row 1: [3, 4, 5, 8, 9][4, 5, 6, 8][3, 4, 6, 8, 9][1, 2, 3, 5, 6][1, 2, 3, 5, 6, 9][1, 5, 6, 8, 9][2, 4]   [1, 3, 8, 9][7]     
Row 2: [3, 5, 8, 9][2]      [3, 7, 8, 9][4]      [1, 5, 7][1, 5, 7, 8, 9][1, 3, 8, 9][6]      [3, 8, 9]
Row 3: [1]      [4, 6, 7, 8][3, 4, 6, 7, 8, 9][2, 3, 6, 7][2, 3, 6, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][2, 4]   
Row 4: [3, 5, 8][9]      [1, 3, 7, 8][1, 3, 5, 6, 7][1, 3, 5, 6, 7][2]      [1, 3, 7, 8][4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 4, 5, 7][1, 2, 3, 4, 7][8]      [1, 3, 4, 5, 7][1, 5, 7][6]      [1, 3, 5, 7, 9][2, 3, 5, 9]
Row 6: [6]      [1, 4, 5, 7, 8][1, 2, 3, 4, 7, 8][9]      [1, 3, 4, 5, 7][1, 5, 7][1, 2, 3, 7, 8][1, 3, 5, 7, 8][2, 3, 5, 8]
Row 7: [2, 4, 8, 9][1, 4, 6, 8][5]      [1, 2, 6, 7][1, 2, 6, 7, 9][3]      [4, 7, 8, 9][7, 8, 9][4, 6, 8, 9]
Row 8: [4, 9]   [3]      [1, 4, 6, 9][1, 5, 6, 7][8]      [1, 5, 6, 7, 9][4, 7, 9][2]      [4, 5, 6]
Row 9: [7]      [6, 8]   [2, 6, 8, 9][2, 5, 6][2, 5, 6, 9][4]      [3, 8, 9][3, 5, 8, 9][1]     
T2-delete: digit 3 template 4430 cannot form Template[2] with digits {3,9}
T2-delete: digit 3 template 4526 cannot form Template[2] with digits {3,5}
T2-delete: digit 6 template 14573 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 30125 cannot form Template[2] with digits {6,9}
T2-delete: digit 7 template 43409 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 43427 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 43941 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 45287 cannot form Template[2] with digits {7,9}
T2-delete: digit 7 template 46149 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46173 cannot form Template[2] with digits {7,5}
T2-delete: digit 7 template 46269 cannot form Template[2] with digits {7,6}
T2-delete: digit 8 template 2237 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 3221 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 5118 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 8622 cannot form Template[2] with digits {8,7}
T2-delete: digit 8 template 10085 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 10091 cannot form Template[2] with digits {8,9}
T2-delete: digit 8 template 26477 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 29093 cannot form Template[2] with digits {8,3}
T2-delete: digit 8 template 30821 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 37133 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 40901 cannot form Template[2] with digits {8,3}
T2-delete: digit 9 template 2055 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 15349 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 15350 cannot form Template[2] with digits {9,4}
T2-delete: digit 9 template 30901 cannot form Template[2] with digits {9,6}
T2-delete: digit 9 template 36903 cannot form Template[2] with digits {9,4}
T2-delete: digit 9 template 38677 cannot form Template[2] with digits {9,1}
Digit 1: 20 templates
Digit 2: 10 templates
Digit 3: 24 templates
Digit 4: 24 templates
Digit 5: 21 templates
Digit 6: 23 templates
Digit 7: 22 templates
Digit 8: 29 templates
Digit 9: 22 templates
Total templates remaining: 195
Row 1: [3, 4, 5, 8, 9][4, 5, 6, 8][3, 4, 6, 8, 9][1, 2, 3, 5, 6][1, 2, 3, 5, 6, 9][1, 5, 6, 8, 9][2, 4]   [1, 3, 8, 9][7]     
Row 2: [3, 5, 8, 9][2]      [3, 7, 8, 9][4]      [1, 5, 7][1, 5, 7, 8, 9][1, 3, 8, 9][6]      [3, 8, 9]
Row 3: [1]      [4, 6, 7][3, 4, 6, 7, 8, 9][2, 3, 6, 7][2, 3, 6, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][2, 4]   
Row 4: [3, 5, 8][9]      [1, 3, 7, 8][1, 3, 5, 6, 7][1, 3, 5, 6, 7][2]      [1, 3, 7, 8][4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 4, 5, 7][1, 2, 3, 4, 7][8]      [1, 3, 4, 5][1, 5, 7][6]      [1, 3, 5, 7, 9][2, 3, 5, 9]
Row 6: [6]      [1, 4, 5, 7, 8][1, 2, 3, 4, 7, 8][9]      [1, 3, 4, 5][1, 5, 7][1, 2, 7, 8][1, 3, 5, 7, 8][2, 3, 5, 8]
Row 7: [2, 4, 8, 9][1, 4, 6, 8][5]      [1, 2, 6, 7][1, 2, 6, 7, 9][3]      [4, 7, 8, 9][7, 8, 9][4, 6, 8, 9]
Row 8: [4, 9]   [3]      [1, 4, 6, 9][1, 5, 6, 7][8]      [1, 5, 6, 7, 9][4, 7, 9][2]      [4, 5, 6]
Row 9: [7]      [6, 8]   [2, 6, 8, 9][2, 5, 6][2, 5, 6, 9][4]      [3, 8, 9][3, 5, 8, 9][1]     
T2-delete: digit 1 template 18192 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 18216 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 18270 cannot form Template[2] with digits {1,5}
T2-delete: digit 1 template 23406 cannot form Template[2] with digits {1,4}
T2-delete: digit 1 template 40842 cannot form Template[2] with digits {1,5}
T2-delete: digit 2 template 32155 cannot form Template[2] with digits {2,5}
T2-delete: digit 3 template 4460 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 4748 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 15926 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 17576 cannot form Template[2] with digits {3,4}
T2-delete: digit 3 template 20642 cannot form Template[2] with digits {3,6}
T2-delete: digit 3 template 22856 cannot form Template[2] with digits {3,9}
T2-delete: digit 5 template 1825 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1849 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1873 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 1897 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 6090 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 6925 cannot form Template[2] with digits {5,2}
T2-delete: digit 5 template 6943 cannot form Template[2] with digits {5,3}
T2-delete: digit 5 template 15654 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 20838 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26017 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26041 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26065 cannot form Template[2] with digits {5,1}
T2-delete: digit 5 template 26089 cannot form Template[2] with digits {5,1}
T2-delete: digit 6 template 9053 cannot form Template[2] with digits {6,9}
T2-delete: digit 6 template 9340 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 9388 cannot form Template[2] with digits {6,9}
T2-delete: digit 6 template 14523 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 14571 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 29835 cannot form Template[2] with digits {6,7}
T2-delete: digit 6 template 29837 cannot form Template[2] with digits {6,9}
T2-delete: digit 7 template 43319 cannot form Template[2] with digits {7,9}
T2-delete: digit 7 template 43343 cannot form Template[2] with digits {7,9}
T2-delete: digit 7 template 43607 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 43631 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 43893 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 45719 cannot form Template[2] with digits {7,8}
T2-delete: digit 7 template 45743 cannot form Template[2] with digits {7,8}
T2-delete: digit 8 template 2291 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 37139 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 38603 cannot form Template[2] with digits {8,1}
T2-delete: digit 9 template 2056 cannot form Template[2] with digits {9,6}
T2-delete: digit 9 template 12470 cannot form Template[2] with digits {9,2}
T2-delete: digit 9 template 13612 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 26248 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 30904 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 38678 cannot form Template[2] with digits {9,5}
T2-delete: digit 9 template 38680 cannot form Template[2] with digits {9,1}
Digit 1: 15 templates
Digit 2: 9 templates
Digit 3: 18 templates
Digit 4: 24 templates
Digit 5: 8 templates
Digit 6: 16 templates
Digit 7: 15 templates
Digit 8: 26 templates
Digit 9: 15 templates
Total templates remaining: 146
Row 1: [3, 4, 8, 9][4, 5, 6, 8][3, 4, 6, 8, 9][1, 2, 3, 5, 6][1, 2, 3, 5, 6, 9][1, 6, 8, 9][2, 4]   [1, 3, 8, 9][7]     
Row 2: [3, 5, 8, 9][2]      [3, 7, 8, 9][4]      [1, 5, 7][1, 7, 8, 9][1, 3, 8, 9][6]      [3, 8, 9]
Row 3: [1]      [4, 6, 7][3, 4, 6, 7, 8, 9][2, 3, 6, 7][2, 3, 6, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][2, 4]   
Row 4: [3, 5, 8][9]      [1, 3, 7, 8][1, 3, 6, 7][1, 3, 6, 7][2]      [1, 7, 8][4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 4, 5, 7][1, 2, 3, 4, 7][8]      [1, 3, 4, 5][1, 5, 7][6]      [1, 3, 5, 7, 9][2, 9]   
Row 6: [6]      [1, 4, 5, 7, 8][1, 2, 3, 4, 7, 8][9]      [1, 3, 4, 5][1, 5, 7][1, 2, 7, 8][1, 3, 5, 7, 8][2, 3, 5, 8]
Row 7: [2, 4, 8, 9][1, 4, 6, 8][5]      [1, 2, 6, 7][1, 2, 6, 7, 9][3]      [4, 8, 9][7, 8, 9][4, 6, 8, 9]
Row 8: [4, 9]   [3]      [1, 4, 6, 9][1, 5, 7][8]      [1, 5, 6, 7, 9][4, 7, 9][2]      [4, 5, 6]
Row 9: [7]      [6, 8]   [2, 6, 8, 9][2, 5, 6][2, 6, 9][4]      [3, 8]   [3, 5, 8, 9][1]     
T2-delete: digit 1 template 18252 cannot form Template[2] with digits {1,2}
T2-delete: digit 1 template 23388 cannot form Template[2] with digits {1,4}
T2-delete: digit 1 template 28682 cannot form Template[2] with digits {1,4}
T2-delete: digit 1 template 39804 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 39954 cannot form Template[2] with digits {1,2}
T2-delete: digit 1 template 39978 cannot form Template[2] with digits {1,3}
T2-delete: digit 1 template 40808 cannot form Template[2] with digits {1,4}
T2-delete: digit 1 template 40838 cannot form Template[2] with digits {1,4}
T2-delete: digit 2 template 17139 cannot form Template[2] with digits {2,1}
T2-delete: digit 2 template 32443 cannot form Template[2] with digits {2,1}
T2-delete: digit 3 template 4436 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 4724 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 15896 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 17810 cannot form Template[2] with digits {3,1}
T2-delete: digit 3 template 18962 cannot form Template[2] with digits {3,4}
T2-delete: digit 3 template 20456 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 25736 cannot form Template[2] with digits {3,7}
T2-delete: digit 3 template 38258 cannot form Template[2] with digits {3,1}
T2-delete: digit 4 template 820 cannot form Template[2] with digits {4,3}
T2-delete: digit 4 template 829 cannot form Template[2] with digits {4,8}
T2-delete: digit 4 template 844 cannot form Template[2] with digits {4,3}
T2-delete: digit 4 template 847 cannot form Template[2] with digits {4,8}
T2-delete: digit 4 template 6004 cannot form Template[2] with digits {4,2}
T2-delete: digit 4 template 6013 cannot form Template[2] with digits {4,3}
T2-delete: digit 4 template 6031 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 6034 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 11197 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 11200 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 11215 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 11218 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34180 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34189 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34192 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34207 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34210 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34465 cannot form Template[2] with digits {4,6}
T2-delete: digit 4 template 34477 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34480 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34495 cannot form Template[2] with digits {4,1}
T2-delete: digit 4 template 34498 cannot form Template[2] with digits {4,1}
T2-delete: digit 5 template 6066 cannot form Template[2] with digits {5,7}
T2-delete: digit 6 template 8765 cannot form Template[2] with digits {6,2}
T2-delete: digit 6 template 9339 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 9387 cannot form Template[2] with digits {6,9}
T2-delete: digit 6 template 13949 cannot form Template[2] with digits {6,4}
T2-delete: digit 6 template 14237 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 24893 cannot form Template[2] with digits {6,4}
T2-delete: digit 6 template 29788 cannot form Template[2] with digits {6,1}
T2-delete: digit 6 template 29836 cannot form Template[2] with digits {6,3}
T2-delete: digit 6 template 30121 cannot form Template[2] with digits {6,8}
T2-delete: digit 6 template 30123 cannot form Template[2] with digits {6,7}
T2-delete: digit 7 template 43313 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 43601 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 43703 cannot form Template[2] with digits {7,4}
T2-delete: digit 7 template 43965 cannot form Template[2] with digits {7,4}
T2-delete: digit 7 template 45281 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 45285 cannot form Template[2] with digits {7,2}
T2-delete: digit 7 template 45431 cannot form Template[2] with digits {7,2}
T2-delete: digit 7 template 45455 cannot form Template[2] with digits {7,3}
T2-delete: digit 7 template 46197 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46485 cannot form Template[2] with digits {7,1}
T2-delete: digit 7 template 46509 cannot form Template[2] with digits {7,3}
T2-delete: digit 8 template 2069 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 2075 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 2243 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 3227 cannot form Template[2] with digits {8,5}
T2-delete: digit 8 template 3438 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 3443 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 4944 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 4950 cannot form Template[2] with digits {8,4}
T2-delete: digit 8 template 5117 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 5123 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 7205 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 7211 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 12389 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 12395 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 13547 cannot form Template[2] with digits {8,6}
T2-delete: digit 8 template 15269 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 15275 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 15486 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 26267 cannot form Template[2] with digits {8,1}
T2-delete: digit 8 template 29099 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 30827 cannot form Template[2] with digits {8,2}
T2-delete: digit 8 template 41189 cannot form Template[2] with digits {8,1}
T2-delete: digit 9 template 2909 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 3208 cannot form Template[2] with digits {9,3}
T2-delete: digit 9 template 13622 cannot form Template[2] with digits {9,2}
T2-delete: digit 9 template 15352 cannot form Template[2] with digits {9,1}
T2-delete: digit 9 template 23988 cannot form Template[2] with digits {9,1}
Digit 1: 7 templates
Digit 2: 7 templates
Digit 3: 10 templates
Digit 4: 2 templates
Digit 5: 7 templates
Digit 6: 6 templates
Digit 7: 4 templates
Digit 8: 4 templates
Digit 9: 10 templates
Total templates remaining: 57
Row 1: [3, 8, 9][4, 5]   [3, 4, 6, 9][2, 3, 5, 6][2, 5, 6][1, 6, 8, 9][2]      [1, 3, 9][7]     
Row 2: [3, 5, 8, 9][2]      [3, 7, 8, 9][4]      [1, 5, 7][1, 7, 9][1, 9]   [6]      [3, 8]   
Row 3: [1]      [6, 7]   [6, 9]   [2, 3]   [2, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][2, 4]   
Row 4: [3, 5, 8][9]      [3, 7, 8][1, 6, 7][1, 3, 6][2]      [1, 7]   [4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 5]   [2, 3, 4][8]      [3, 5]   [1, 5, 7][6]      [1, 3, 5, 7][9]     
Row 6: [6]      [1, 5, 7][3, 7, 8][9]      [3, 4, 5][1, 5, 7][1, 2, 8][1, 3, 5, 8][2, 3, 8]
Row 7: [2, 9]   [4, 6]   [5]      [1, 2, 7][1, 2, 6, 7, 9][3]      [4, 8, 9][7, 9]   [6, 8]   
Row 8: [4, 9]   [3]      [1]      [5, 7]   [8]      [5, 6, 9][4, 7, 9][2]      [5, 6]   
Row 9: [7]      [6, 8]   [2, 6, 9][2, 5, 6][2, 9]   [4]      [3]      [5, 9]   [1]     
HIDDEN-SUBSET: digits=4 cells=r3c9 sector=20 size=1
  -> eliminate digit 2 templates={17149, 22323, 22333}
HIDDEN-SUBSET: digits=4 cells=r6c5 sector=22 size=1
  -> eliminate digit 3 templates={4406, 14726, 16094, 36542}
  -> eliminate digit 5 templates={15792}
HIDDEN-SUBSET: digits=8 cells=r9c2 sector=24 size=1
  -> eliminate digit 6 templates={19709, 30075}
Digit 1: 7 templates
Digit 2: 4 templates
Digit 3: 6 templates
Digit 4: 2 templates
Digit 5: 6 templates
Digit 6: 4 templates
Digit 7: 4 templates
Digit 8: 4 templates
Digit 9: 10 templates
Total templates remaining: 47
Row 1: [3, 8, 9][4, 5]   [3, 4, 6, 9][3, 5, 6][5, 6]   [1, 6, 8, 9][2]      [1, 3, 9][7]     
Row 2: [3, 5, 8, 9][2]      [3, 7, 8, 9][4]      [1, 5, 7][1, 7, 9][1, 9]   [6]      [3, 8]   
Row 3: [1]      [6, 7]   [9]      [2, 3]   [2, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][4]     
Row 4: [3, 5, 8][9]      [3, 7, 8][1, 6, 7][1, 3, 6][2]      [1, 7]   [4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 5]   [2, 4]   [8]      [3, 5]   [1, 5, 7][6]      [1, 5, 7][9]     
Row 6: [6]      [1, 5, 7][3, 7, 8][9]      [4]      [1, 5, 7][1, 8]   [1, 3, 5, 8][2, 3, 8]
Row 7: [2, 9]   [4, 6]   [5]      [1, 2, 7][1, 2, 6, 7, 9][3]      [4, 8, 9][7, 9]   [6, 8]   
Row 8: [4, 9]   [3]      [1]      [5, 7]   [8]      [5, 6, 9][4, 7, 9][2]      [5, 6]   
Row 9: [7]      [8]      [2, 6, 9][2, 5, 6][2, 9]   [4]      [3]      [5, 9]   [1]     
HIDDEN-SUBSET: digits=2 cells=r6c9 sector=23 size=1
  -> eliminate digit 3 templates={38024}
  -> eliminate digit 8 templates={27947}
Digit 1: 7 templates
Digit 2: 4 templates
Digit 3: 5 templates
Digit 4: 2 templates
Digit 5: 6 templates
Digit 6: 4 templates
Digit 7: 4 templates
Digit 8: 3 templates
Digit 9: 10 templates
Total templates remaining: 45
Row 1: [3, 8, 9][4, 5]   [3, 4, 6, 9][3, 5, 6][5, 6]   [1, 6, 8, 9][2]      [1, 3, 9][7]     
Row 2: [3, 5, 8, 9][2]      [7, 8, 9][4]      [1, 5, 7][1, 7, 9][1, 9]   [6]      [3, 8]   
Row 3: [1]      [6, 7]   [9]      [2, 3]   [2, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][4]     
Row 4: [3, 5, 8][9]      [3, 7, 8][1, 6, 7][1, 3, 6][2]      [1, 7]   [4]      [3, 5, 8]
Row 5: [2, 3, 4, 5][1, 5]   [2, 4]   [8]      [3, 5]   [1, 5, 7][6]      [1, 5, 7][9]     
Row 6: [6]      [1, 5, 7][3, 7, 8][9]      [4]      [1, 5, 7][1, 8]   [1, 3, 5, 8][2]     
Row 7: [2, 9]   [4, 6]   [5]      [1, 2, 7][1, 2, 6, 7, 9][3]      [4, 8, 9][7, 9]   [6, 8]   
Row 8: [4, 9]   [3]      [1]      [5, 7]   [8]      [5, 6, 9][4, 7, 9][2]      [5, 6]   
Row 9: [7]      [8]      [2, 6, 9][2, 5, 6][2, 9]   [4]      [3]      [5, 9]   [1]     
HIDDEN-SUBSET: digits=2,4 cells=r5c13 sector=21 size=2
  -> eliminate digit 3 templates={14792}
  -> eliminate digit 5 templates={6294}
Digit 1: 7 templates
Digit 2: 4 templates
Digit 3: 4 templates
Digit 4: 2 templates
Digit 5: 5 templates
Digit 6: 4 templates
Digit 7: 4 templates
Digit 8: 3 templates
Digit 9: 10 templates
Total templates remaining: 43
Row 1: [3, 8, 9][4, 5]   [3, 4, 6, 9][3, 5, 6][5, 6]   [1, 6, 8, 9][2]      [1, 3, 9][7]     
Row 2: [3, 5, 8, 9][2]      [7, 8, 9][4]      [1, 5, 7][1, 7, 9][1, 9]   [6]      [3, 8]   
Row 3: [1]      [6, 7]   [9]      [2, 3]   [2, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][4]     
Row 4: [3, 5, 8][9]      [3, 7, 8][1, 6, 7][1, 6]   [2]      [1, 7]   [4]      [3, 5, 8]
Row 5: [2, 4]   [1, 5]   [2, 4]   [8]      [3, 5]   [1, 5, 7][6]      [1, 5, 7][9]     
Row 6: [6]      [1, 5, 7][3, 7, 8][9]      [4]      [1, 5, 7][1, 8]   [1, 3, 5, 8][2]     
Row 7: [2, 9]   [4, 6]   [5]      [1, 2, 7][1, 2, 6, 7, 9][3]      [4, 8, 9][7, 9]   [6, 8]   
Row 8: [4, 9]   [3]      [1]      [5, 7]   [8]      [5, 6, 9][4, 7, 9][2]      [5, 6]   
Row 9: [7]      [8]      [2, 6, 9][2, 5, 6][2, 9]   [4]      [3]      [5, 9]   [1]     
HIDDEN-SUBSET: digits=3 cells=r5c5 sector=22 size=1
  -> eliminate digit 5 templates={15816}
Digit 1: 7 templates
Digit 2: 4 templates
Digit 3: 4 templates
Digit 4: 2 templates
Digit 5: 4 templates
Digit 6: 4 templates
Digit 7: 4 templates
Digit 8: 3 templates
Digit 9: 10 templates
Total templates remaining: 42
Row 1: [3, 8, 9][4, 5]   [3, 4, 6, 9][3, 6]   [5, 6]   [1, 6, 8, 9][2]      [1, 3, 9][7]     
Row 2: [3, 5, 8, 9][2]      [7, 8, 9][4]      [1, 5, 7][1, 7, 9][1, 9]   [6]      [3, 8]   
Row 3: [1]      [6, 7]   [9]      [2, 3]   [2, 7, 9][6, 7, 8, 9][5]      [3, 8, 9][4]     
Row 4: [3, 5, 8][9]      [3, 7, 8][1, 6, 7][1, 6]   [2]      [1, 7]   [4]      [3, 5, 8]
Row 5: [2, 4]   [1, 5]   [2, 4]   [8]      [3]      [1, 5, 7][6]      [1, 5, 7][9]     
Row 6: [6]      [1, 5, 7][3, 7, 8][9]      [4]      [1, 5, 7][1, 8]   [1, 3, 5, 8][2]     
Row 7: [2, 9]   [4, 6]   [5]      [1, 2, 7][1, 2, 6, 7, 9][3]      [4, 8, 9][7, 9]   [6, 8]   
Row 8: [4, 9]   [3]      [1]      [5, 7]   [8]      [6, 9]   [4, 7, 9][2]      [5, 6]   
Row 9: [7]      [8]      [2, 6, 9][2, 5, 6][2, 9]   [4]      [3]      [5, 9]   [1]     
HIDDEN-SUBSET: digits=2,4,6 cells=r159c3 sector=11 size=3
  -> eliminate digit 3 templates={14696}
  -> eliminate digit 9 templates={2921, 12469, 12472, 13624, 26247}
HIDDEN-SUBSET: digits=3,5,8 cells=r4c139 sector=3 size=3
  -> eliminate digit 7 templates={45309}
HIDDEN-SUBSET: digits=3,5,8 cells=r124c1 sector=9 size=3
  -> eliminate digit 9 templates={2921, 26247}
Digit 1: 7 templates
Digit 2: 4 templates
Digit 3: 3 templates
Digit 4: 2 templates
Digit 5: 4 templates
Digit 6: 4 templates
Digit 7: 3 templates
Digit 8: 3 templates
Digit 9: 5 templates
Total templates remaining: 35
Row 1: [3, 8]   [4, 5]   [4, 6]   [3, 6]   [5, 6]   [1, 6, 8, 9][2]      [1, 3, 9][7]     
Row 2: [3, 5, 8][2]      [7, 8, 9][4]      [1, 5]   [1, 7, 9][1, 9]   [6]      [3, 8]   
Row 3: [1]      [6, 7]   [9]      [2, 3]   [2, 7]   [6, 7, 8][5]      [3, 8, 9][4]     
Row 4: [5, 8]   [9]      [3, 8]   [1, 6, 7][1, 6]   [2]      [1, 7]   [4]      [3, 5, 8]
Row 5: [2, 4]   [1, 5]   [2, 4]   [8]      [3]      [1, 5, 7][6]      [1, 5, 7][9]     
Row 6: [6]      [1, 5, 7][3, 7, 8][9]      [4]      [1, 5]   [1, 8]   [1, 3, 5, 8][2]     
Row 7: [2, 9]   [4, 6]   [5]      [1, 2]   [1, 2, 6, 7, 9][3]      [4, 8, 9][7, 9]   [6, 8]   
Row 8: [4, 9]   [3]      [1]      [5, 7]   [8]      [6]      [4, 7, 9][2]      [5, 6]   
Row 9: [7]      [8]      [2, 6]   [2, 5, 6][2, 9]   [4]      [3]      [5, 9]   [1]     
HIDDEN-SUBSET: digits=1,9 cells=r1c68 sector=0 size=2
  -> eliminate digit 3 templates={36560}
  -> eliminate digit 6 templates={29787}
  -> eliminate digit 8 templates={26483, 27941}
HIDDEN-SUBSET: digits=4,9 cells=r8c17 sector=7 size=2
  -> eliminate digit 7 templates={43917, 46221}
Digit 1: 7 templates
Digit 2: 4 templates
Digit 3: 2 templates
Digit 4: 2 templates
Digit 5: 4 templates
Digit 6: 3 templates
Digit 7: 1 templates
Digit 8: 1 templates
Digit 9: 5 templates
Total templates remaining: 29
Row 1: [3, 8]   [4, 5]   [4, 6]   [3, 6]   [5, 6]   [1, 9]   [2]      [1, 9]   [7]     
Row 2: [3, 5]   [2]      [7, 9]   [4]      [1, 5]   [1, 9]   [1, 9]   [6]      [3, 8]   
Row 3: [1]      [6]      [9]      [2, 3]   [2, 7]   [6, 8]   [5]      [3, 9]   [4]     
Row 4: [5]      [9]      [3, 8]   [1, 6]   [1, 6]   [2]      [1, 7]   [4]      [3, 5]   
Row 5: [2, 4]   [1, 5]   [2, 4]   [8]      [3]      [1, 5, 7][6]      [1, 5]   [9]     
Row 6: [6]      [1, 5, 7][3]      [9]      [4]      [1, 5]   [1]      [1, 3, 5, 8][2]     
Row 7: [2, 9]   [4, 6]   [5]      [1, 2]   [1, 2, 9][3]      [4, 8, 9][7, 9]   [6]     
Row 8: [4, 9]   [3]      [1]      [5, 7]   [8]      [6]      [4, 9]   [2]      [5, 6]   
Row 9: [7]      [8]      [2, 6]   [2, 5, 6][2, 9]   [4]      [3]      [5, 9]   [1]     
HIDDEN-SUBSET: digits=7 cells=r2c3 sector=18 size=1
  -> eliminate digit 9 templates={28024}
HIDDEN-SUBSET: digits=7 cells=r3c5 sector=19 size=1
  -> eliminate digit 2 templates={32409, 32419}
HIDDEN-SUBSET: digits=7 cells=r6c2 sector=21 size=1
  -> eliminate digit 1 templates={28634, 39974}
  -> eliminate digit 5 templates={21012}
HIDDEN-SUBSET: digits=7 cells=r5c6 sector=22 size=1
  -> eliminate digit 1 templates={39974}
  -> eliminate digit 5 templates={6061, 21012}
HIDDEN-SUBSET: digits=7 cells=r4c7 sector=23 size=1
  -> eliminate digit 1 templates={39944, 39974}
HIDDEN-SUBSET: digits=7 cells=r8c4 sector=25 size=1
  -> eliminate digit 5 templates={20982, 21012}
HIDDEN-SUBSET: digits=7 cells=r7c8 sector=26 size=1
  -> eliminate digit 9 templates={29176}
HIDDEN-SUBSET: digits=8 cells=r1c1 sector=18 size=1
  -> eliminate digit 3 templates={4376}
HIDDEN-SUBSET: digits=8 cells=r3c6 sector=19 size=1
  -> eliminate digit 6 templates={14569}
HIDDEN-SUBSET: digits=8 cells=r2c9 sector=20 size=1
  -> eliminate digit 3 templates={4376}
HIDDEN-SUBSET: digits=8 cells=r4c3 sector=21 size=1
  -> eliminate digit 3 templates={4376}
HIDDEN-SUBSET: digits=8 cells=r6c8 sector=23 size=1
  -> eliminate digit 1 templates={28610, 28658}
  -> eliminate digit 3 templates={4376}
  -> eliminate digit 5 templates={6061}
HIDDEN-SUBSET: digits=8 cells=r7c7 sector=26 size=1
  -> eliminate digit 4 templates={6016}
  -> eliminate digit 9 templates={28024, 41272}
Digit 1: 2 templates
Digit 2: 2 templates
Digit 3: 1 templates
Digit 4: 1 templates
Digit 5: 1 templates
Digit 6: 2 templates
Digit 7: 1 templates
Digit 8: 1 templates
Digit 9: 2 templates
Total templates remaining: 13
Row 1: [8]      [5]      [4]      [3, 6]   [6]      [9]      [2]      [1, 9]   [7]     
Row 2: [3]      [2]      [7]      [4]      [5]      [1, 9]   [9]      [6]      [8]     
Row 3: [1]      [6]      [9]      [2]      [7]      [8]      [5]      [3]      [4]     
Row 4: [5]      [9]      [8]      [1, 6]   [1, 6]   [2]      [7]      [4]      [3]     
Row 5: [2, 4]   [1]      [2]      [8]      [3]      [7]      [6]      [5]      [9]     
Row 6: [6]      [7]      [3]      [9]      [4]      [5]      [1]      [8]      [2]     
Row 7: [2, 9]   [4]      [5]      [1]      [1, 2, 9][3]      [8]      [7]      [6]     
Row 8: [9]      [3]      [1]      [7]      [8]      [6]      [4, 9]   [2]      [5]     
Row 9: [7]      [8]      [2, 6]   [5]      [2, 9]   [4]      [3]      [9]      [1]     
HIDDEN-SUBSET: digits=1 cells=r2c6 sector=19 size=1
  -> eliminate digit 9 templates={41269}
HIDDEN-SUBSET: digits=1 cells=r1c8 sector=20 size=1
  -> eliminate digit 9 templates={41269}
HIDDEN-SUBSET: digits=3 cells=r1c4 sector=19 size=1
  -> eliminate digit 6 templates={19421}
HIDDEN-SUBSET: digits=4 cells=r5c1 sector=21 size=1
  -> eliminate digit 2 templates={32121}
HIDDEN-SUBSET: digits=4 cells=r8c7 sector=26 size=1
  -> eliminate digit 9 templates={41269}
HIDDEN-SUBSET: digits=6 cells=r9c3 sector=24 size=1
  -> eliminate digit 2 templates={32121}
Digit 1: 2 templates
Digit 2: 1 templates
Digit 3: 1 templates
Digit 4: 1 templates
Digit 5: 1 templates
Digit 6: 1 templates
Digit 7: 1 templates
Digit 8: 1 templates
Digit 9: 1 templates
Total templates remaining: 10
Row 1: [8]      [5]      [4]      [3]      [6]      [9]      [2]      [1]      [7]     
Row 2: [3]      [2]      [7]      [4]      [5]      [1]      [9]      [6]      [8]     
Row 3: [1]      [6]      [9]      [2]      [7]      [8]      [5]      [3]      [4]     
Row 4: [5]      [9]      [8]      [1, 6]   [1]      [2]      [7]      [4]      [3]     
Row 5: [4]      [1]      [2]      [8]      [3]      [7]      [6]      [5]      [9]     
Row 6: [6]      [7]      [3]      [9]      [4]      [5]      [1]      [8]      [2]     
Row 7: [2]      [4]      [5]      [1]      [1, 9]   [3]      [8]      [7]      [6]     
Row 8: [9]      [3]      [1]      [7]      [8]      [6]      [4]      [2]      [5]     
Row 9: [7]      [8]      [6]      [5]      [2]      [4]      [3]      [9]      [1]     
HIDDEN-SUBSET: digits=6 cells=r4c4 sector=22 size=1
  -> eliminate digit 1 templates={40706}
HIDDEN-SUBSET: digits=9 cells=r7c5 sector=25 size=1
  -> eliminate digit 1 templates={40706}
Digit 1: 1 templates
Digit 2: 1 templates
Digit 3: 1 templates
Digit 4: 1 templates
Digit 5: 1 templates
Digit 6: 1 templates
Digit 7: 1 templates
Digit 8: 1 templates
Digit 9: 1 templates
Total templates remaining: 9
Row 1: [8]      [5]      [4]      [3]      [6]      [9]      [2]      [1]      [7]     
Row 2: [3]      [2]      [7]      [4]      [5]      [1]      [9]      [6]      [8]     
Row 3: [1]      [6]      [9]      [2]      [7]      [8]      [5]      [3]      [4]     
Row 4: [5]      [9]      [8]      [6]      [1]      [2]      [7]      [4]      [3]     
Row 5: [4]      [1]      [2]      [8]      [3]      [7]      [6]      [5]      [9]     
Row 6: [6]      [7]      [3]      [9]      [4]      [5]      [1]      [8]      [2]     
Row 7: [2]      [4]      [5]      [1]      [9]      [3]      [8]      [7]      [6]     
Row 8: [9]      [3]      [1]      [7]      [8]      [6]      [4]      [2]      [5]     
Row 9: [7]      [8]      [6]      [5]      [2]      [4]      [3]      [9]      [1]       

my code doesn't update Pencil marks from this code: it's pure Templates per digit, so i added a union of remaining templates for a grid display

[P.O.]

the first observation that can be made about your implementation is that you're using hidden subsets to update the grid.
The most common practice seems to be: elimination of templates (by performing combinations and possibly checking their validity) -> elimination and placement of candidates -> Singles to update the grid -> calculation of the new set of possible templates
Using hidden pairs and hidden triplets certainly can lead to more template eliminations.

you write:
T2-delete: digit 1 template 40764 cannot form Template[2] with digits {1,6}
Does this mean that the Template 40764 cells: [7, 14, 18, 31, 38, 51, 55, 66, 80] is not compatible with any template for value 6?

[StrmCkr]

i figured out that base template rules for

inclusion and exclusion

is naked and hidden subsets size 1 for templates: i found a way to do exactly this with templates for size 2-4.

T2-delete: digit 1 template 40764 cannot form Template[2] with digits {1,6}

Does this mean that the Template 40764 cells: [7, 14, 18, 31, 38, 51, 55, 66, 80] is not compatible with any template for value 6?

not exactly which is why i think my codes over aggressive:

Ti{ 40764} as a template is disjoint with a Template for {6} forming Template[2]{1,6}
this is 1 representation of the {1,6}
{ i think its returning 1 example not all }

is a valid combination on its own:
i do i cross compatibility check on this combination =>
is it valid as :
each single digits [2,3,4,5,7,8,9] has a valid disjoint set
each 2 digit combination has a disjoint set
each 3 digit combination has a disjoint set.

this check returns false for the selected example of Ti going to {1 => 6 } and deletes Ti 40764

-- ive tried figuring out if this is overly aggressive with ai assistance and it quips back some fancy math I've never heard of before.

something along the lines that any valid disjoint set proves to be illogical for the remaining combination sets then Ti itself cannot be true, as any fault in its combinations implies its invalid as to be a solution it must be compatible with any and all electable options for other digits.

.........stumped on this one......

[P.O.]

Of course using Singles to update the grid is merely a convention;
regarding the verification of combinations, your approach makes one think of a DFS algorithm, having all possible templates available, you test the combinations to the maximum of their size in the current context.
What are your results concerning this list of puzzles? Do you find a template depth greater than 2?

[StrmCkr]

T2 with 4 degrees of cross compatibility

this grid needed this else T3:
..3......4...8..36..8...1...4..6..73...9..........2..5..4.7..686........7..6..5..

T2 with 3 degrees cross compatibility:
.......12........3..23..4....18....5.6..7.8.......9.....85.....9...4.5..47...6...
........7.2.4...6.1.....5...9...2.4....8..6..6..9.......5..3....3..8..2.7....4..1
1...5......7..9.3...9..754...4..3.7..6........9.8........79..2......24.3..2......
1..4....9.56..9.......1..6..6....8..5....4.9.9....5.1..7....2..6....1.5....3.....
.......39.....1..5..3.5.8....8.9...6.7...2...1..4.......9.8..5..2....6..4..7.....
12.3.....4.....3....3.5......42..5......8...9.6...5.7...15..2......9..6......7..8
..3..6.8....1..2......7...4..9..8.6..3..4...1.7.2.....3....5.....5...6..98.....5.
1.......9..67...2..8....4......75.3...5..2....6.3......9....8..6...4...1..25...6.
12.4..3..3...1..5...6...1..7...9.....4.6.3.....3..2...5...8.7....7.....5.......98
12.3.....34....1....5......6.24..5......6..7......8..6..42..3......7...9.....9.8.
.2..5.7..4..1....68....3...2....8..3.4..2.5.....6...1...2.9.....9......57.4...9..
........3..1..56...9..4..7......9.5.7.......8.5.4.2....8..2..9...35..1..6........
12.3.....4.5...6...7.....2.6..1..3....453.........8..9...45.1.........8......2..7
12.3....435....1....4........54..2..6...7.........8.9...31..5.......9.7.....6...8

[P.O.]

Very interesting results, not unexpected, all the information being available with the retrieval of all possible templates they show that these can be used to prune the combinations by deciding as soon as possible on their validity and that it is sufficient to do so at the level of size 2 combinations to find the solution.
The implementations that use some kind of combination verification, that of Blue, Denis and mine shows that combinations of size 4 at most are necessary to find the solution which, if I understand correctly, is in line with the degrees of cross compatibility you are talking about.
This puzzle ..3......4...8..36..8...1...4..6..73...9..........2..5..4.7..686........7..6..5.. is the first in this list, it has a fairly high number of templates for certain values, some of the following ones on the list, although having a lower number of templates may be interesting to test.

[StrmCkr]

TK delete asks can I add +1, for each combination and at what point does it fail
Fail to add 1 for each nCr and ti[a] it gets deleted.

My first code did t6 for tungsten rod.

I added a cross compatibility check within TK selection process
a check on a valid Ti[à] k size proposition

Ti [a] expanding to Two templates (Ti [a] , Ti b) this has 18 disjoint fixed cells :
The question I then asked is dose this potential valid disjoint set propsition empty the other combinations?
(overlapped with everything)

Dose each size 1 digits (1,2,3,4,5,7,8,9)- ab have any combinations left that are disjoint.
Dose each size 2 digit combination of (1,2,3,4,5,7,8,9)- ab , have any combinations left that are disjoint
Dose each size 3 digit combination of (1,2,3,4,5,7,8,9)- ab , have any combinations left that are disjoint
Dose each size 4 digit combination of (1,2,3,4,5,7,8,9)- ab , have any combinations left that are disjoint

Ti [a] is only valid if all of its propsitions Contain no faults with all other digits.

Which returns false for propsition Ti(a) size k and Ti[a] is deleted.