The New Sudoku Players' Forum

by **P.O.** » Sun May 25, 2025 5:03 pm

Code: Select all: . 2 . . . 8 . . 4 3 . . 7 . . 1 . . . . 1 . 5 . . 7 . . . 5 . . 4 . 1 . . 8 . 5 . . . . 7 4 . . . 2 . 6 . . . . . 1 . . . . 2 . . 3 . . 6 . . . 6 . . . 3 . . . . .2...8..43..7..1....1.5..7...5..4.1..8.5....74...2.6.....1....2..3..6...6...3.... after singles: 579 2 679 369 1 8 59 359 4 3 4569 4689 7 469 29 1 2589 5689 89 469 1 23469 5 239 289 7 3689 279 3679 5 3689 6789 4 289 1 389 129 8 269 5 69 139 249 2349 7 4 1379 79 389 2 1379 6 3589 3589 5789 4579 4789 1 4789 579 3 6 2 125789 14579 3 2489 4789 6 45789 4589 1589 6 14579 24789 2489 3 2579 45789 4589 1589

by **Cenoman** » Sun May 25, 2025 7:42 pm

Code: Select all: +---------------------------+------------------------+------------------------+ | 579 2 c679 |da369* 1 8 | 59 da359* 4 | | 3 4569 4689 | 7 469 29 | 1 2589 5689 | | 89 469 1 | 23469 5 239 | 289 7 689-3 | +---------------------------+------------------------+------------------------+ | 279 b3679 5 | a3689* 6789 4 | 289 1 a389* | | 129 8 b269 | 5 69 139 | 249 2349 7 | | 4 1379 79 | 389 2 1379 | 6 3589 3589 | +---------------------------+------------------------+------------------------+ | 5789 4579 4789 | 1 4789 579 | 3 6 2 | | 125789 14579 3 | 2489 4789 6 | 45789 4589 1589 | | 6 14579 24789 | 2489 3 2579 | 45789 4589 1589 | +---------------------------+------------------------+------------------------+

Almost kite:
(3)[r1c8 = r1c4 - r4c4 = r4c9] = (36)b4p26 - r1c3 = (63)r1c48 => -3 r3c9; ste

by **jco** » Sun May 25, 2025 8:19 pm

Cenoman wrote:(...)
Almost kite:
(3)[r1c8 = r1c4 - r4c4 = r4c9] = (36)b4p26 - r1c3 = (63)r1c48 => -3 r3c9; ste

Nice!

I had just the two skyscrapers on 6 and 3 (and no ste).

Hidden Text: Show

by **pjb** » Mon May 26, 2025 12:06 am

Code: Select all: 579 2 c679 |b369 1 8 | 59 a359 4 3 4569 4689 | 7 469 29 | 1 2589 5689 89 469 1 | 23469 5 239 | 289 7 689-3 ------------------------+----------------------+--------------------- 279 e3679 5 |c3689 6789 4 | 289 1 f389 129 8 d269 | 5 69 139 | 249 249-3 7 4 1379 79 | 389 2 1379 | 6 589-3 3589 ------------------------+----------------------+--------------------- 5789 4579 4789 | 1 4789 579 | 3 6 2 125789 14579 3 | 2489 4789 6 | 45789 4589 1589 6 14579 24789 | 2489 3 2579 | 45789 4589 1589

(3)r1c8 = (3-6)r1c4 = (6)r1c3 - (6)r5c3 = (6-3)r4c2 = (3)r4c9 => -3 r3c9 -3 r56c8; stte

Phil

by **rjamil** » Tue May 27, 2025 9:57 pm

Here is my solution based on POM/template moves only; with all possible combinations upto Double-digit POM:

Hidden Text: Show

Code: Select all: 1 @ r1c5, 6 @ r7c8, 3 @ r7c7 +----------------------+-------------------+-------------------+ | 579 2 679 | 369 1 8 | 59 359 4 | | 3 4569 4689 | 7 469 29 | 1 2589 5689 | | 89 469 1 | 23469 5 239 | 289 7 3689 | +----------------------+-------------------+-------------------+ | 279 3679 5 | 3689 6789 4 | 289 1 389 | | 129 8 269 | 5 69 139 | 249 2349 7 | | 4 1379 79 | 389 2 1379 | 6 3589 3589 | +----------------------+-------------------+-------------------+ | 5789 4579 4789 | 1 4789 579 | 3 6 2 | | 125789 14579 3 | 2489 4789 6 | 45789 4589 1589 | | 6 14579 24789 | 2489 3 2579 | 45789 4589 1589 | +----------------------+-------------------+-------------------+ VT (3 5 4 14 12 4 14 29 1276) 1-d POM: 3 @ r1c48 r2c1 r3c469 r4c249 r5c68 r6c24689 r7c7 r8c3 r9c5 Digit 3 not in 4 Templates => -3 @ r3c6 r4c4 r6c4 1-d POM: 6 @ r1c34 r2c2359 r3c249 r4c245 r5c35 r6c7 r7c8 r8c6 r9c1 Digit 6 not in 4 Templates => -6 @ r2c5 r4c4 +----------------------+-------------------+-------------------+ | 579 2 679 | 369 1 8 | 59 359 4 | | 3 4569 4689 | 7 49 29 | 1 2589 5689 | | 89 469 1 | 23469 5 29 | 289 7 3689 | +----------------------+-------------------+-------------------+ | 279 3679 5 | 89 6789 4 | 289 1 389 | | 129 8 269 | 5 69 139 | 249 2349 7 | | 4 1379 79 | 89 2 1379 | 6 3589 3589 | +----------------------+-------------------+-------------------+ | 5789 4579 4789 | 1 4789 579 | 3 6 2 | | 125789 14579 3 | 2489 4789 6 | 45789 4589 1589 | | 6 14579 24789 | 2489 3 2579 | 45789 4589 1589 | +----------------------+-------------------+-------------------+ 1 @ (1, 3368, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 2 @ (1 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 1 @ (1, 3369, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 2 @ (2 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 1 @ (1, 3404, 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 2 @ (3 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 1 @ (1, 3368, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3 @ (1 - 1, 598 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 1 @ (1, 3369, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 3 @ (2 - 1, 598 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 1 @ (1, 3404, 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 3 @ (3 - 1, 622 3) r1c4 r2c1 r3c9 r4c2 r5c8 r6c6 r7c7 r8c3 r9c5 1 @ (1, 3368, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 4 @ (1 - 2, 1032 8) r1c9 r2c2 r3c4 r4c6 r5c7 r6c1 r7c3 r8c5 r9c8 1 @ (1, 3369, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 4 @ (2 - 2, 1032 8) r1c9 r2c2 r3c4 r4c6 r5c7 r6c1 r7c3 r8c5 r9c8 1 @ (1, 3404, 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 4 @ (3 - 2, 1032 8) r1c9 r2c2 r3c4 r4c6 r5c7 r6c1 r7c3 r8c5 r9c8 1 @ (1, 3368, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 5 @ (1 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 1 @ (1, 3369, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 5 @ (2 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 1 @ (1, 3404, 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 5 @ (3 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 1 @ (1, 3368, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 6 @ (1 - 0, 4373 2) r1c3 r2c9 r3c4 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 1 @ (1, 3369, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 6 @ (2 - 0, 4373 2) r1c3 r2c9 r3c4 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 1 @ (1, 3404, 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 6 @ (3 - 0, 4373 2) r1c3 r2c9 r3c4 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 1 @ (1, 3368, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 7 @ (1 - 0, 421 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c3 r8c7 r9c6 1 @ (1, 3369, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 7 @ (2 - 0, 421 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c3 r8c7 r9c6 1 @ (1, 3404, 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 7 @ (3 - 0, 330 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c3 r8c5 r9c7 1 @ (1, 3368, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1 - 1, 1842 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 1 @ (1, 3369, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 8 @ (2 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 1 @ (1, 3404, 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 8 @ (3 - 1, 1842 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 1 @ (1, 3368, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (1 - 0, 877 0) r1c1 r2c5 r3c7 r4c2 r5c6 r6c8 r7c3 r8c9 r9c4 1 @ (1, 3369, 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (2 - 0, 876 0) r1c1 r2c5 r3c7 r4c2 r5c6 r6c8 r7c3 r8c4 r9c9 1 @ (1, 3404, 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 9 @ (3 - 0, 889 0) r1c1 r2c5 r3c7 r4c2 r5c8 r6c4 r7c3 r8c9 r9c6 2 @ (0, 1763, 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 1 @ (1 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 2 @ (0, 3664, 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 1 @ (2 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 2 @ (0, 4067, 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 1 @ (3 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 2 @ (0, 4235, 1) r1c2 r2c8 r3c6 r4c7 r5c1 r6c5 r7c9 r8c4 r9c3 1 @ (4 - 1, 3404 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 2 @ (0, 4246, 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 1 @ (5 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 2 @ (0, 1763, 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 3 @ (1 - 1, 598 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 2 @ (0, 3664, 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 3 @ (2 - 1, 598 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 2 @ (0, 4067, 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 3 @ (3 - 1, 598 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 2 @ (0, 4235, 1) r1c2 r2c8 r3c6 r4c7 r5c1 r6c5 r7c9 r8c4 r9c3 3 @ (4 - 1, 598 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 2 @ (0, 4246, 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 3 @ (5 - 1, 598 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 2 @ (0, 1763, 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 4 @ (1 - 2, 1032 8) r1c9 r2c2 r3c4 r4c6 r5c7 r6c1 r7c3 r8c5 r9c8 2 @ (0, 3664, 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 4 @ (2 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 2 @ (0, 4067, 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 4 @ (3 - 2, 1044 8) r1c9 r2c2 r3c4 r4c6 r5c8 r6c1 r7c3 r8c5 r9c7 2 @ (0, 4235, 1) r1c2 r2c8 r3c6 r4c7 r5c1 r6c5 r7c9 r8c4 r9c3 4 @ (4 - 2, 1032 8) r1c9 r2c2 r3c4 r4c6 r5c7 r6c1 r7c3 r8c5 r9c8 2 @ (0, 4246, 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 4 @ (5 - 2, 1032 8) r1c9 r2c2 r3c4 r4c6 r5c7 r6c1 r7c3 r8c5 r9c8 2 @ (0, 1763, 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (1 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 2 @ (0, 3664, 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 5 @ (2 - 0, 4664 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 2 @ (0, 4067, 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 5 @ (3 - 0, 4663 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 2 @ (0, 4235, 1) r1c2 r2c8 r3c6 r4c7 r5c1 r6c5 r7c9 r8c4 r9c3 5 @ (4 - 0, 4663 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 2 @ (0, 4246, 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 5 @ (5 - 0, 4663 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 2 @ (0, 1763, 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 6 @ (1 - 0, 4373 2) r1c3 r2c9 r3c4 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 2 @ (0, 3664, 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 6 @ (2 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 2 @ (0, 4067, 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 6 @ (3 - 0, 4373 2) r1c3 r2c9 r3c4 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 2 @ (0, 4235, 1) r1c2 r2c8 r3c6 r4c7 r5c1 r6c5 r7c9 r8c4 r9c3 6 @ (4 - 0, 4373 2) r1c3 r2c9 r3c4 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 2 @ (0, 4246, 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 6 @ (5 - 0, 4373 2) r1c3 r2c9 r3c4 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 2 @ (0, 1763, 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 7 @ (1 - 0, 330 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c3 r8c5 r9c7 2 @ (0, 3664, 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 7 @ (2 - 0, 330 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c3 r8c5 r9c7 2 @ (0, 4067, 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 7 @ (3 - 0, 330 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c3 r8c5 r9c7 2 @ (0, 4235, 1) r1c2 r2c8 r3c6 r4c7 r5c1 r6c5 r7c9 r8c4 r9c3 7 @ (4 - 0, 330 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c3 r8c5 r9c7 2 @ (0, 4246, 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 7 @ (5 - 0, 330 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c3 r8c5 r9c7 2 @ (0, 1763, 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 8 @ (1 - 1, 2418 5) r1c6 r2c3 r3c9 r4c4 r5c2 r6c8 r7c1 r8c5 r9c7 2 @ (0, 3664, 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 8 @ (2 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 2 @ (0, 4067, 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 8 @ (3 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 2 @ (0, 4235, 1) r1c2 r2c8 r3c6 r4c7 r5c1 r6c5 r7c9 r8c4 r9c3 8 @ (4 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 2 @ (0, 4246, 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 8 @ (5 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 2 @ (0, 1763, 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 9 @ (1 - 0, 1459 0) r1c1 r2c5 r3c9 r4c2 r5c6 r6c8 r7c3 r8c7 r9c4 2 @ (0, 3664, 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 9 @ (2 - 0, 876 0) r1c1 r2c5 r3c7 r4c2 r5c6 r6c8 r7c3 r8c4 r9c9 2 @ (0, 4067, 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 9 @ (3 - 0, 877 0) r1c1 r2c5 r3c7 r4c2 r5c6 r6c8 r7c3 r8c9 r9c4 2 @ (0, 4235, 1) r1c2 r2c8 r3c6 r4c7 r5c1 r6c5 r7c9 r8c4 r9c3 9 @ (4 - 0, 877 0) r1c1 r2c5 r3c7 r4c2 r5c6 r6c8 r7c3 r8c9 r9c4 2 @ (0, 4246, 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 9 @ (5 - 0, 876 0) r1c1 r2c5 r3c7 r4c2 r5c6 r6c8 r7c3 r8c4 r9c9 3 @ (1, 598, 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 1 @ (1 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3 @ (1, 622, 3) r1c4 r2c1 r3c9 r4c2 r5c8 r6c6 r7c7 r8c3 r9c5 1 @ (2 - 1, 3404 4) r1c5 r2c7 r3c3 r4c8 r5c6 r6c2 r7c4 r8c1 r9c9 3 @ (2, 22, 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 1 @ (3 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3 @ (2, 280, 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 1 @ (4 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3 @ (1, 598, 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 2 @ (1 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 3 @ (1, 622, 3) r1c4 r2c1 r3c9 r4c2 r5c8 r6c6 r7c7 r8c3 r9c5 2 @ (2 - 0, 3664 1) r1c2 r2c8 r3c4 r4c7 r5c3 r6c5 r7c9 r8c1 r9c6 3 @ (2, 22, 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 2 @ (3 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 3 @ (2, 280, 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 2 @ (4 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 3 @ (1, 598, 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 4 @ (1 - 2, 1032 8) r1c9 r2c2 r3c4 r4c6 r5c7 r6c1 r7c3 r8c5 r9c8 3 @ (1, 622, 3) r1c4 r2c1 r3c9 r4c2 r5c8 r6c6 r7c7 r8c3 r9c5 4 @ (2 - 2, 1032 8) r1c9 r2c2 r3c4 r4c6 r5c7 r6c1 r7c3 r8c5 r9c8 3 @ (2, 22, 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 4 @ (3 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 3 @ (2, 280, 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 4 @ (4 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 3 @ (1, 598, 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 5 @ (1 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 3 @ (1, 622, 3) r1c4 r2c1 r3c9 r4c2 r5c8 r6c6 r7c7 r8c3 r9c5 5 @ (2 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 3 @ (2, 22, 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 5 @ (3 - 0, 4663 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 3 @ (2, 280, 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 5 @ (4 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 3 @ (1, 598, 3) r1c4 r2c1 r3c9 r4c2 r5c6 r6c8 r7c7 r8c3 r9c5 3 @ (1, 622, 3) r1c4 r2c1 r3c9 r4c2 r5c8 r6c6 r7c7 r8c3 r9c5 3 @ (2, 22, 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 6 @ (1 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 3 @ (2, 280, 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 6 @ (2 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 3) Double-digit POM: 3 @ r1c48 r2c1 r3c49 r4c29 r5c68 r6c2689 r7c7 r8c3 r9c5 and POM: 6 @ r1c34 r2c239 r3c249 r4c25 r5c35 r6c7 r7c8 r8c6 r9c1 Digit 3 not in 2 Templates => -3 @ r1c4 r3c9 r5c8 r6c6 r6c8 Digit 3 in all 2 Templates => 3 @ r1c8 r3c4 r5c6 3 @ (2, 22, 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 7 @ (1 - 0, 421 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c3 r8c7 r9c6 3 @ (2, 280, 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 7 @ (2 - 0, 330 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c3 r8c5 r9c7 3 @ (2, 22, 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 8 @ (1 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 3 @ (2, 280, 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 8 @ (2 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 3 @ (2, 22, 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 9 @ (1 - 0, 973 0) r1c1 r2c5 r3c7 r4c4 r5c3 r6c8 r7c2 r8c9 r9c6 3 @ (2, 280, 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 9 @ (2 - 0, 889 0) r1c1 r2c5 r3c7 r4c2 r5c8 r6c4 r7c3 r8c9 r9c6 4 @ (2, 3912, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 1 @ (1 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 4 @ (2, 3913, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 1 @ (2 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 4 @ (2, 3924, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c4 r9c7 1 @ (3 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 4 @ (2, 3925, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c7 r9c4 1 @ (4 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3) Double-digit POM: 4 @ r1c9 r2c235 r3c2 r4c6 r5c78 r6c1 r7c235 r8c24578 r9c23478 and POM: 1 @ r1c5 r2c7 r3c3 r4c8 r5c1 r6c26 r7c4 r8c129 r9c29 Digit 4 not in 4 Templates => -4 @ r2c2 r2c3 r7c2 r7c5 r8c2 r8c5 r9c2 r9c3 Digit 4 in all 4 Templates => 4 @ r2c5 r3c2 r7c3 4 @ (2, 3912, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 2 @ (1 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 4 @ (2, 3913, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 2 @ (2 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 4 @ (2, 3924, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c4 r9c7 2 @ (3 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 4 @ (2, 3925, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c7 r9c4 2 @ (4 - 0, 4067 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 4 @ (2, 3912, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 3 @ (1 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 4 @ (2, 3913, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 3 @ (2 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 4 @ (2, 3924, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c4 r9c7 3 @ (3 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 4 @ (2, 3925, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c7 r9c4 3 @ (4 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 4 @ (2, 3912, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (1 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 4 @ (2, 3913, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 5 @ (2 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 4 @ (2, 3924, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c4 r9c7 5 @ (3 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 4 @ (2, 3925, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c7 r9c4 5 @ (4 - 0, 3800 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 4 @ (2, 3912, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 6 @ (1 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 4 @ (2, 3913, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 6 @ (2 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 4 @ (2, 3924, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c4 r9c7 6 @ (3 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 4 @ (2, 3925, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c7 r9c4 6 @ (4 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 4 @ (2, 3912, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 7 @ (1 - 0, 333 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 4 @ (2, 3913, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 7 @ (2 - 0, 333 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 4 @ (2, 3924, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c4 r9c7 7 @ (3 - 0, 333 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 4 @ (2, 3925, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c7 r9c4 7 @ (4 - 0, 428 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 4 @ (2, 3912, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 8 @ (1 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 4 @ (2, 3913, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 8 @ (2 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 4 @ (2, 3924, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c4 r9c7 8 @ (3 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 4 @ (2, 3925, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c7 r9c4 8 @ (4 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 4 @ (2, 3912, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 9 @ (1 - 0, 1755 0) r1c1 r2c6 r3c7 r4c2 r5c8 r6c4 r7c5 r8c9 r9c3 4 @ (2, 3913, 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 9 @ (2 - 0, 1755 0) r1c1 r2c6 r3c7 r4c2 r5c8 r6c4 r7c5 r8c9 r9c3 4 @ (2, 3924, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c4 r9c7 9 @ (3 - 0, 1836 0) r1c1 r2c6 r3c7 r4c4 r5c3 r6c8 r7c2 r8c5 r9c9 4 @ (2, 3925, 8) r1c9 r2c5 r3c2 r4c6 r5c8 r6c1 r7c3 r8c7 r9c4 9 @ (4 - 0, 1836 0) r1c1 r2c6 r3c7 r4c4 r5c3 r6c8 r7c2 r8c5 r9c9 5 @ (0, 3799, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 1 @ (1 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 5 @ (0, 3800, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 1 @ (2 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 5 @ (0, 3801, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c7 r9c2 1 @ (3 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 5 @ (0, 4663, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 1 @ (4 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 5 @ (0, 4664, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 1 @ (5 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 5 @ (0, 4665, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c7 r9c2 1 @ (6 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 5 @ (2, 1201, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 1 @ (7 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 5 @ (2, 1202, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 1 @ (8 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 5 @ (2, 1207, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 1 @ (9 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 5 @ (2, 1208, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c6 r8c1 r9c8 1 @ (10 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 5 @ (0, 3799, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 2 @ (1 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (0, 3800, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 2 @ (2 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (0, 3801, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c7 r9c2 2 @ (3 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (0, 4663, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 2 @ (4 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (0, 4664, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 2 @ (5 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (0, 4665, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c7 r9c2 2 @ (6 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (2, 1201, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 2 @ (7 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (2, 1202, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 2 @ (8 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (2, 1207, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 2 @ (9 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (2, 1208, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c6 r8c1 r9c8 2 @ (10 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 5 @ (0, 3799, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 3 @ (1 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 5 @ (0, 3800, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 3 @ (2 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 5 @ (0, 3801, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c7 r9c2 3 @ (3 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 5 @ (0, 4663, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 3 @ (4 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 5 @ (0, 4664, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 3 @ (5 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 5 @ (0, 4665, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c7 r9c2 3 @ (6 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 5 @ (2, 1201, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 3 @ (7 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 5 @ (2, 1202, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 3 @ (8 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 5 @ (2, 1207, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 3 @ (9 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 5 @ (2, 1208, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c6 r8c1 r9c8 3 @ (10 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 5 @ (0, 3799, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 4 @ (1 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (0, 3800, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 4 @ (2 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (0, 3801, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c7 r9c2 4 @ (3 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (0, 4663, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 4 @ (4 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (0, 4664, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 4 @ (5 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (0, 4665, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c7 r9c2 4 @ (6 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (2, 1201, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 4 @ (7 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (2, 1202, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 4 @ (8 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (2, 1207, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 4 @ (9 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 5 @ (2, 1208, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c6 r8c1 r9c8 4 @ (10 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 5 @ (0, 3799, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 6 @ (1 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 5 @ (0, 3800, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 6 @ (2 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 5 @ (0, 3801, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c7 r9c2 6 @ (3 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 5 @ (0, 4663, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 6 @ (4 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 5 @ (0, 4664, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 6 @ (5 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 5 @ (0, 4665, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c7 r9c2 6 @ (6 - 1, 1553 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 5 @ (2, 1201, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 6 @ (7 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 5 @ (2, 1202, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 6 @ (8 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 5 @ (2, 1207, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 6 @ (9 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 5 @ (2, 1208, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c6 r8c1 r9c8 6 @ (10 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 5 @ (0, 3799, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 7 @ (1 - 0, 332 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c5 r8c2 r9c7 5 @ (0, 3800, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 7 @ (2 - 0, 333 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c5 r8c7 r9c2 5 @ (0, 3801, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c7 r9c2 7 @ (3 - 0, 330 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c2 r8c5 r9c7 5 @ (0, 4663, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 7 @ (4 - 0, 332 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c5 r8c2 r9c7 5 @ (0, 4664, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 7 @ (5 - 0, 333 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c5 r8c7 r9c2 5 @ (0, 4665, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c7 r9c2 7 @ (6 - 0, 330 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c2 r8c5 r9c7 5 @ (2, 1201, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 7 @ (7 - 0, 333 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 5 @ (2, 1202, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 7 @ (8 - 0, 333 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 5 @ (2, 1207, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 7 @ (9 - 0, 333 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 5 @ (2, 1208, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c6 r8c1 r9c8 7 @ (10 - 0, 333 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 5 @ (0, 3799, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 8 @ (1 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 5 @ (0, 3800, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 8 @ (2 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 5 @ (0, 3801, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c7 r9c2 8 @ (3 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 5 @ (0, 4663, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 8 @ (4 - 1, 1842 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 5 @ (0, 4664, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 8 @ (5 - 1, 1842 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 5 @ (0, 4665, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c7 r9c2 8 @ (6 - 1, 1842 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 5 @ (2, 1201, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 8 @ (7 - 1, 1844 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c5 r8c1 r9c8 5 @ (2, 1202, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 8 @ (8 - 1, 1842 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 5 @ (2, 1207, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 8 @ (9 - 1, 1838 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c5 r8c1 r9c9 5 @ (2, 1208, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c6 r8c1 r9c8 8 @ (10 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 5 @ (0, 3799, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 9 @ (1 - 0, 1754 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c5 r8c2 r9c9 5 @ (0, 3800, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 9 @ (2 - 0, 1740 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c8 r7c2 r8c4 r9c9 5 @ (0, 3801, 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c7 r9c2 9 @ (3 - 0, 1740 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c8 r7c2 r8c4 r9c9 5 @ (0, 4663, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 9 @ (4 - 0, 1754 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c5 r8c2 r9c9 5 @ (0, 4664, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c2 r9c7 9 @ (5 - 0, 1746 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 5 @ (0, 4665, 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c6 r8c7 r9c2 9 @ (6 - 0, 1746 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 5 @ (2, 1201, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 9 @ (7 - 0, 1842 0) r1c1 r2c6 r3c7 r4c4 r5c3 r6c9 r7c2 r8c5 r9c8 5 @ (2, 1202, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 9 @ (8 - 0, 1755 0) r1c1 r2c6 r3c7 r4c2 r5c8 r6c4 r7c5 r8c9 r9c3 5 @ (2, 1207, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 9 @ (9 - 0, 1755 0) r1c1 r2c6 r3c7 r4c2 r5c8 r6c4 r7c5 r8c9 r9c3 5 @ (2, 1208, 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c6 r8c1 r9c8 9 @ (10 - 0, 1755 0) r1c1 r2c6 r3c7 r4c2 r5c8 r6c4 r7c5 r8c9 r9c3 6 @ (1, 1553, 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 1 @ (1 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 6 @ (1, 2357, 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 1 @ (2 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3) Double-digit POM: 6 @ r1c34 r2c239 r3c9 r4c25 r5c35 r6c7 r7c8 r8c6 r9c1 and POM: 1 @ r1c5 r2c7 r3c3 r4c8 r5c1 r6c26 r7c4 r8c129 r9c29 Digit 6 not in 2 Templates => -6 @ r1c3 r2c9 Digit 6 in all 2 Templates => 6 @ r1c4 r3c9 6 @ (1, 1553, 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 2 @ (1 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 6 @ (1, 2357, 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 2 @ (2 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 6 @ (1, 1553, 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 3 @ (1 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 6 @ (1, 2357, 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 3 @ (2 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 6 @ (1, 1553, 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 4 @ (1 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 6 @ (1, 2357, 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 4 @ (2 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 6 @ (1, 1553, 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 5 @ (1 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 6 @ (1, 2357, 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 5 @ (2 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 6 @ (1, 1553, 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 7 @ (1 - 0, 333 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 6 @ (1, 2357, 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 7 @ (2 - 0, 423 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 6 @ (1, 1553, 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 8 @ (1 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 6 @ (1, 2357, 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 8 @ (2 - 1, 3561 5) r1c6 r2c8 r3c1 r4c4 r5c2 r6c9 r7c5 r8c7 r9c3 6 @ (1, 1553, 3) r1c4 r2c2 r3c9 r4c5 r5c3 r6c7 r7c8 r8c6 r9c1 9 @ (1 - 0, 1755 0) r1c1 r2c6 r3c7 r4c2 r5c8 r6c4 r7c5 r8c9 r9c3 6 @ (1, 2357, 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 9 @ (2 - 0, 1836 0) r1c1 r2c6 r3c7 r4c4 r5c3 r6c8 r7c2 r8c5 r9c9 7 @ (0, 333, 0) r1c1 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c7 r9c3 7 @ (0, 423, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 1 @ (1 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 7 @ (0, 427, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c2 r8c7 r9c6 1 @ (2 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 7 @ (0, 428, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 1 @ (3 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 7 @ (0, 429, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c7 r9c2 1 @ (4 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 7 @ (0, 330, 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c2 r8c5 r9c7 7 @ (0, 332, 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c5 r8c2 r9c7 7 @ (0, 333, 2) r1c3 r2c4 r3c8 r4c1 r5c9 r6c6 r7c5 r8c7 r9c2 7 @ (0, 378, 2) r1c3 r2c4 r3c8 r4c2 r5c9 r6c6 r7c1 r8c5 r9c7 7 @ (0, 380, 2) r1c3 r2c4 r3c8 r4c2 r5c9 r6c6 r7c5 r8c1 r9c7 7 @ (0, 427, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c1 r8c7 r9c6 1 @ (5 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 7 @ (0, 428, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c1 r9c7 1 @ (6 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3) Double-digit POM: 7 @ r1c13 r2c4 r3c8 r4c125 r5c9 r6c236 r7c1256 r8c1257 r9c2367 and POM: 1 @ r1c5 r2c7 r3c3 r4c8 r5c1 r6c26 r7c4 r8c129 r9c29 Digit 7 not in 6 Templates => -7 @ r4c1 r4c2 r6c6 r7c5 r8c5 Digit 7 in all 6 Templates => 7 @ r4c5 7 @ (0, 423, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 2 @ (1 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 7 @ (0, 427, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c2 r8c7 r9c6 2 @ (2 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 7 @ (0, 428, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 2 @ (3 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 7 @ (0, 429, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c7 r9c2 2 @ (4 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 7 @ (0, 427, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c1 r8c7 r9c6 2 @ (5 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 7 @ (0, 428, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c1 r9c7 2 @ (6 - 0, 1763 1) r1c2 r2c6 r3c7 r4c1 r5c8 r6c5 r7c9 r8c4 r9c3 7 @ (0, 423, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 3 @ (1 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 7 @ (0, 427, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c2 r8c7 r9c6 3 @ (2 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 7 @ (0, 428, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 3 @ (3 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 7 @ (0, 429, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c7 r9c2 3 @ (4 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 7 @ (0, 427, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c1 r8c7 r9c6 3 @ (5 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 7 @ (0, 428, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c1 r9c7 3 @ (6 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 7 @ (0, 423, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 4 @ (1 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 7 @ (0, 427, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c2 r8c7 r9c6 4 @ (2 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 7 @ (0, 428, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 4 @ (3 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 7 @ (0, 429, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c7 r9c2 4 @ (4 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 7 @ (0, 427, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c1 r8c7 r9c6 4 @ (5 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 7 @ (0, 428, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c1 r9c7 4 @ (6 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 7 @ (0, 423, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 5 @ (1 - 2, 1201 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 7 @ (0, 427, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c2 r8c7 r9c6 5 @ (2 - 2, 1202 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c6 r8c1 r9c9 7 @ (0, 428, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 5 @ (3 - 2, 1201 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 7 @ (0, 429, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c7 r9c2 5 @ (4 - 2, 1201 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c8 r7c1 r8c9 r9c6 7 @ (0, 427, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c1 r8c7 r9c6 5 @ (5 - 0, 3800 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 7 @ (0, 428, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c1 r9c7 5 @ (6 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 7 @ (0, 423, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 6 @ (1 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 7 @ (0, 427, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c2 r8c7 r9c6 6 @ (2 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 7 @ (0, 428, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 6 @ (3 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 7 @ (0, 429, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c7 r9c2 6 @ (4 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 7 @ (0, 427, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c1 r8c7 r9c6 6 @ (5 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 7 @ (0, 428, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c1 r9c7 6 @ (6 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 7 @ (0, 423, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 8 @ (1 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 7 @ (0, 427, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c2 r8c7 r9c6 8 @ (2 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 7 @ (0, 428, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 8 @ - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 7 @ (0, 429, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c7 r9c2 8 @ (4 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 7 @ (0, 427, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c1 r8c7 r9c6 8 @ (5 - 1, 1838 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c5 r8c1 r9c9 7 @ (0, 428, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c1 r9c7 8 @ (6 - 1, 1836 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 7 @ (0, 423, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c7 r9c3 9 @ (1 - 0, 1740 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c8 r7c2 r8c4 r9c9 7 @ (0, 427, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c2 r8c7 r9c6 9 @ (2 - 0, 1754 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c5 r8c2 r9c9 7 @ (0, 428, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 9 @ (3 - 0, 1740 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c8 r7c2 r8c4 r9c9 7 @ (0, 429, 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c7 r9c2 9 @ (4 - 0, 1740 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c8 r7c2 r8c4 r9c9 7 @ (0, 427, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c1 r8c7 r9c6 9 @ (5 - 0, 1755 0) r1c1 r2c6 r3c7 r4c2 r5c8 r6c4 r7c5 r8c9 r9c3 7 @ (0, 428, 2) r1c3 r2c4 r3c8 r4c5 r5c9 r6c2 r7c6 r8c1 r9c7 9 @ (6 - 0, 1755 0) r1c1 r2c6 r3c7 r4c2 r5c8 r6c4 r7c5 r8c9 r9c3 8 @ (1, 1836, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 1 @ (1 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 8 @ (1, 1838, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c5 r8c1 r9c9 1 @ (2 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 8 @ (1, 1842, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 1 @ (3 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1, 1844, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c5 r8c1 r9c8 1 @ (4 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1, 1980, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c1 r8c5 r9c8 1 @ (5 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1, 1982, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c5 r8c1 r9c8 1 @ (6 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1, 3561, 5) r1c6 r2c8 r3c1 r4c4 r5c2 r6c9 r7c5 r8c7 r9c3 1 @ (7 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1, 3651, 5) r1c6 r2c8 r3c1 r4c7 r5c2 r6c4 r7c5 r8c9 r9c3 1 @ (8 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1, 3699, 5) r1c6 r2c8 r3c1 r4c9 r5c2 r6c4 r7c5 r8c7 r9c3 1 @ (9 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1, 4425, 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 1 @ (10 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 8 @ (1, 4515, 5) r1c6 r2c9 r3c1 r4c7 r5c2 r6c4 r7c5 r8c8 r9c3 1 @ (11 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3) Double-digit POM: 8 @ r1c6 r2c389 r3c17 r4c479 r5c2 r6c489 r7c15 r8c145789 r9c34789 and POM: 1 @ r1c5 r2c7 r3c3 r4c8 r5c1 r6c26 r7c4 r8c129 r9c29 Digit 8 not in 11 Templates => -8 @ r8c4 r9c4 r9c7 8 @ (1, 1836, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 2 @ (1 - 0, 4067 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 8 @ (1, 1838, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c5 r8c1 r9c9 2 @ (2 - 0, 4067 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 8 @ (1, 1842, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 2 @ (3 - 0, 4067 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 8 @ (1, 1844, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c5 r8c1 r9c8 2 @ (4 - 0, 4067 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 8 @ (1, 1980, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c1 r8c5 r9c8 2 @ (5 - 0, 4067 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 8 @ (1, 1982, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c5 r8c1 r9c8 2 @ (6 - 0, 4067 1) r1c2 r2c8 r3c6 r4c1 r5c7 r6c5 r7c9 r8c4 r9c3 8 @ (1, 3561, 5) r1c6 r2c8 r3c1 r4c4 r5c2 r6c9 r7c5 r8c7 r9c3 8 @ (1, 3651, 5) r1c6 r2c8 r3c1 r4c7 r5c2 r6c4 r7c5 r8c9 r9c3 8 @ (1, 3699, 5) r1c6 r2c8 r3c1 r4c9 r5c2 r6c4 r7c5 r8c7 r9c3 8 @ (1, 4425, 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 2 @ (7 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 8 @ (1, 4515, 5) r1c6 r2c9 r3c1 r4c7 r5c2 r6c4 r7c5 r8c8 r9c3 3) Double-digit POM: 8 @ r1c6 r2c389 r3c17 r4c479 r5c2 r6c489 r7c15 r8c15789 r9c389 and POM: 2 @ r1c2 r2c68 r3c67 r4c17 r5c1378 r6c5 r7c9 r8c14 r9c346 Digit 8 not in 7 Templates => -8 @ r2c8 r4c7 r8c8 r8c9 8 @ (1, 1836, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 3 @ (1 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 8 @ (1, 1838, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c5 r8c1 r9c9 3 @ (2 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 8 @ (1, 1842, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 3 @ (3 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 8 @ (1, 1844, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c5 r8c1 r9c8 3 @ (4 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 8 @ (1, 1980, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c1 r8c5 r9c8 3 @ (5 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 8 @ (1, 1982, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c5 r8c1 r9c8 3 @ (6 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 8 @ (1, 4425, 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 3 @ (7 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 8 @ (1, 1836, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 4 @ (1 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 8 @ (1, 1838, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c5 r8c1 r9c9 4 @ (2 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 8 @ (1, 1842, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 4 @ (3 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 8 @ (1, 1844, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c5 r8c1 r9c8 4 @ (4 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 8 @ (1, 1980, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c1 r8c5 r9c8 4 @ (5 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 8 @ (1, 1982, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c5 r8c1 r9c8 4 @ (6 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 8 @ (1, 4425, 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 4 @ (7 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 8 @ (1, 1836, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 5 @ (1 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 8 @ (1, 1838, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c5 r8c1 r9c9 5 @ (2 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 8 @ (1, 1842, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 5 @ (3 - 0, 4663 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 8 @ (1, 1844, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c5 r8c1 r9c8 5 @ (4 - 0, 4663 0) r1c1 r2c9 r3c5 r4c3 r5c4 r6c8 r7c2 r8c7 r9c6 8 @ (1, 1980, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c1 r8c5 r9c8 5 @ (5 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 8 @ (1, 1982, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c5 r8c1 r9c8 5 @ (6 - 0, 3799 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c2 r8c7 r9c6 8 @ (1, 4425, 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 5 @ (7 - 0, 3800 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 8 @ (1, 1836, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c1 r8c5 r9c9 8 @ (1, 1838, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c8 r7c5 r8c1 r9c9 8 @ (1, 1842, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c1 r8c5 r9c8 8 @ (1, 1844, 5) r1c6 r2c3 r3c7 r4c4 r5c2 r6c9 r7c5 r8c1 r9c8 8 @ (1, 1980, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c1 r8c5 r9c8 8 @ (1, 1982, 5) r1c6 r2c3 r3c7 r4c9 r5c2 r6c4 r7c5 r8c1 r9c8 8 @ (1, 4425, 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 6 @ (1 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 3) Double-digit POM: 8 @ r1c6 r2c39 r3c17 r4c49 r5c2 r6c489 r7c15 r8c157 r9c389 and POM: 6 @ r1c4 r2c23 r3c9 r4c2 r5c35 r6c7 r7c8 r8c6 r9c1 Digit 8 not in 1 Template => -8 @ r2c3 r3c7 r4c9 r6c4 r6c9 r7c1 r8c1 r8c5 r9c8 r9c9 Digit 8 in all 1 Template => 8 @ r2c9 r3c1 r4c4 r6c8 r7c5 r8c7 r9c3 8 @ (1, 4425, 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 7 @ (1 - 0, 428 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 8 @ (1, 4425, 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 9 @ (1 - 0, 1980 0) r1c1 r2c6 r3c7 r4c9 r5c3 r6c4 r7c2 r8c5 r9c8 9 @ (0, 1980, 0) r1c1 r2c6 r3c7 r4c9 r5c3 r6c4 r7c2 r8c5 r9c8 1 @ (1 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 2010, 0) r1c1 r2c6 r3c7 r4c9 r5c5 r6c3 r7c2 r8c4 r9c8 1 @ (2 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 2011, 0) r1c1 r2c6 r3c7 r4c9 r5c5 r6c3 r7c2 r8c8 r9c4 1 @ (3 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 4236, 0) r1c1 r2c8 r3c6 r4c7 r5c3 r6c4 r7c2 r8c5 r9c9 1 @ (4 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (0, 4266, 0) r1c1 r2c8 r3c6 r4c7 r5c5 r6c3 r7c2 r8c4 r9c9 1 @ (5 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (0, 4267, 0) r1c1 r2c8 r3c6 r4c7 r5c5 r6c3 r7c2 r8c9 r9c4 1 @ (6 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 4284, 0) r1c1 r2c8 r3c6 r4c9 r5c3 r6c4 r7c2 r8c5 r9c7 1 @ (7 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 4314, 0) r1c1 r2c8 r3c6 r4c9 r5c5 r6c3 r7c2 r8c4 r9c7 1 @ (8 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 1746, 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 1 @ (9 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 1747, 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c8 r9c4 1 @ (10 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 1752, 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 1 @ (11 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (0, 1794, 2) r1c3 r2c6 r3c7 r4c2 r5c5 r6c9 r7c1 r8c4 r9c8 1 @ (12 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 1795, 2) r1c3 r2c6 r3c7 r4c2 r5c5 r6c9 r7c1 r8c8 r9c4 1 @ (13 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 1800, 2) r1c3 r2c6 r3c7 r4c2 r5c8 r6c4 r7c1 r8c5 r9c9 1 @ (14 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (0, 1968, 2) r1c3 r2c6 r3c7 r4c9 r5c1 r6c4 r7c2 r8c5 r9c8 9 @ (0, 2010, 2) r1c3 r2c6 r3c7 r4c9 r5c5 r6c2 r7c1 r8c4 r9c8 1 @ (15 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 2011, 2) r1c3 r2c6 r3c7 r4c9 r5c5 r6c2 r7c1 r8c8 r9c4 1 @ (16 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 4050, 2) r1c3 r2c8 r3c6 r4c1 r5c5 r6c9 r7c2 r8c4 r9c7 1 @ (17 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 4056, 2) r1c3 r2c8 r3c6 r4c1 r5c7 r6c4 r7c2 r8c5 r9c9 1 @ (18 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (0, 4098, 2) r1c3 r2c8 r3c6 r4c2 r5c5 r6c9 r7c1 r8c4 r9c7 1 @ (19 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 4104, 2) r1c3 r2c8 r3c6 r4c2 r5c7 r6c4 r7c1 r8c5 r9c9 1 @ (20 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (0, 4224, 2) r1c3 r2c8 r3c6 r4c7 r5c1 r6c4 r7c2 r8c5 r9c9 9 @ (0, 4266, 2) r1c3 r2c8 r3c6 r4c7 r5c5 r6c2 r7c1 r8c4 r9c9 1 @ (21 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (0, 4267, 2) r1c3 r2c8 r3c6 r4c7 r5c5 r6c2 r7c1 r8c9 r9c4 1 @ (22 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (0, 4272, 2) r1c3 r2c8 r3c6 r4c9 r5c1 r6c4 r7c2 r8c5 r9c7 9 @ (0, 4314, 2) r1c3 r2c8 r3c6 r4c9 r5c5 r6c2 r7c1 r8c4 r9c7 1 @ (23 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 1692, 6) r1c7 r2c2 r3c6 r4c9 r5c3 r6c4 r7c1 r8c5 r9c8 1 @ (24 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 1722, 6) r1c7 r2c2 r3c6 r4c9 r5c5 r6c3 r7c1 r8c4 r9c8 1 @ (25 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 1723, 6) r1c7 r2c2 r3c6 r4c9 r5c5 r6c3 r7c1 r8c8 r9c4 1 @ (26 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 2322, 6) r1c7 r2c3 r3c6 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 1 @ (27 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 2323, 6) r1c7 r2c3 r3c6 r4c1 r5c5 r6c9 r7c2 r8c8 r9c4 1 @ (28 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 2328, 6) r1c7 r2c3 r3c6 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 1 @ (29 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (2, 2370, 6) r1c7 r2c3 r3c6 r4c2 r5c5 r6c9 r7c1 r8c4 r9c8 1 @ (30 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 2371, 6) r1c7 r2c3 r3c6 r4c2 r5c5 r6c9 r7c1 r8c8 r9c4 1 @ (31 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 2376, 6) r1c7 r2c3 r3c6 r4c2 r5c8 r6c4 r7c1 r8c5 r9c9 1 @ (32 - 1, 3369 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c9 r9c2 9 @ (2, 2544, 6) r1c7 r2c3 r3c6 r4c9 r5c1 r6c4 r7c2 r8c5 r9c8 9 @ (2, 2586, 6) r1c7 r2c3 r3c6 r4c9 r5c5 r6c2 r7c1 r8c4 r9c8 1 @ (33 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 9 @ (2, 2587, 6) r1c7 r2c3 r3c6 r4c9 r5c5 r6c2 r7c1 r8c8 r9c4 1 @ (34 - 1, 3368 4) r1c5 r2c7 r3c3 r4c8 r5c1 r6c6 r7c4 r8c2 r9c9 3) Double-digit POM: 9 @ r1c137 r2c2368 r3c67 r4c1279 r5c13578 r6c23469 r7c126 r8c124589 r9c246789 and POM: 1 @ r1c5 r2c7 r3c3 r4c8 r5c1 r6c26 r7c4 r8c129 r9c29 Digit 9 not in 34 Templates => -9 @ r5c1 r6c6 r7c6 r8c1 r8c2 r9c2 r9c6 9 @ (0, 1980, 0) r1c1 r2c6 r3c7 r4c9 r5c3 r6c4 r7c2 r8c5 r9c8 9 @ (0, 2010, 0) r1c1 r2c6 r3c7 r4c9 r5c5 r6c3 r7c2 r8c4 r9c8 2 @ (1 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 9 @ (0, 2011, 0) r1c1 r2c6 r3c7 r4c9 r5c5 r6c3 r7c2 r8c8 r9c4 9 @ (0, 4236, 0) r1c1 r2c8 r3c6 r4c7 r5c3 r6c4 r7c2 r8c5 r9c9 9 @ (0, 4266, 0) r1c1 r2c8 r3c6 r4c7 r5c5 r6c3 r7c2 r8c4 r9c9 9 @ (0, 4267, 0) r1c1 r2c8 r3c6 r4c7 r5c5 r6c3 r7c2 r8c9 r9c4 9 @ (0, 4284, 0) r1c1 r2c8 r3c6 r4c9 r5c3 r6c4 r7c2 r8c5 r9c7 9 @ (0, 4314, 0) r1c1 r2c8 r3c6 r4c9 r5c5 r6c3 r7c2 r8c4 r9c7 9 @ (0, 1746, 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 2 @ (2 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 9 @ (0, 1747, 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c8 r9c4 9 @ (0, 1752, 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 2 @ (3 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 9 @ (0, 1794, 2) r1c3 r2c6 r3c7 r4c2 r5c5 r6c9 r7c1 r8c4 r9c8 2 @ (4 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 9 @ (0, 1795, 2) r1c3 r2c6 r3c7 r4c2 r5c5 r6c9 r7c1 r8c8 r9c4 9 @ (0, 1800, 2) r1c3 r2c6 r3c7 r4c2 r5c8 r6c4 r7c1 r8c5 r9c9 2 @ (5 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 9 @ (0, 2010, 2) r1c3 r2c6 r3c7 r4c9 r5c5 r6c2 r7c1 r8c4 r9c8 2 @ (6 - 0, 4246 1) r1c2 r2c8 r3c6 r4c7 r5c3 r6c5 r7c9 r8c1 r9c4 9 @ (0, 2011, 2) r1c3 r2c6 r3c7 r4c9 r5c5 r6c2 r7c1 r8c8 r9c4 9 @ (0, 4050, 2) r1c3 r2c8 r3c6 r4c1 r5c5 r6c9 r7c2 r8c4 r9c7 9 @ (0, 4056, 2) r1c3 r2c8 r3c6 r4c1 r5c7 r6c4 r7c2 r8c5 r9c9 9 @ (0, 4098, 2) r1c3 r2c8 r3c6 r4c2 r5c5 r6c9 r7c1 r8c4 r9c7 9 @ (0, 4104, 2) r1c3 r2c8 r3c6 r4c2 r5c7 r6c4 r7c1 r8c5 r9c9 9 @ (0, 4266, 2) r1c3 r2c8 r3c6 r4c7 r5c5 r6c2 r7c1 r8c4 r9c9 9 @ (0, 4267, 2) r1c3 r2c8 r3c6 r4c7 r5c5 r6c2 r7c1 r8c9 r9c4 9 @ (0, 4314, 2) r1c3 r2c8 r3c6 r4c9 r5c5 r6c2 r7c1 r8c4 r9c7 9 @ (2, 1692, 6) r1c7 r2c2 r3c6 r4c9 r5c3 r6c4 r7c1 r8c5 r9c8 9 @ (2, 1722, 6) r1c7 r2c2 r3c6 r4c9 r5c5 r6c3 r7c1 r8c4 r9c8 9 @ (2, 1723, 6) r1c7 r2c2 r3c6 r4c9 r5c5 r6c3 r7c1 r8c8 r9c4 9 @ (2, 2322, 6) r1c7 r2c3 r3c6 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 9 @ (2, 2323, 6) r1c7 r2c3 r3c6 r4c1 r5c5 r6c9 r7c2 r8c8 r9c4 9 @ (2, 2328, 6) r1c7 r2c3 r3c6 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 9 @ (2, 2370, 6) r1c7 r2c3 r3c6 r4c2 r5c5 r6c9 r7c1 r8c4 r9c8 9 @ (2, 2371, 6) r1c7 r2c3 r3c6 r4c2 r5c5 r6c9 r7c1 r8c8 r9c4 9 @ (2, 2376, 6) r1c7 r2c3 r3c6 r4c2 r5c8 r6c4 r7c1 r8c5 r9c9 9 @ (2, 2586, 6) r1c7 r2c3 r3c6 r4c9 r5c5 r6c2 r7c1 r8c4 r9c8 9 @ (2, 2587, 6) r1c7 r2c3 r3c6 r4c9 r5c5 r6c2 r7c1 r8c8 r9c4 3) Double-digit POM: 9 @ r1c137 r2c2368 r3c67 r4c1279 r5c3578 r6c2349 r7c12 r8c4589 r9c4789 and POM: 2 @ r1c2 r2c68 r3c67 r4c17 r5c1378 r6c5 r7c9 r8c14 r9c46 Digit 9 not in 6 Templates => -9 @ r1c7 r2c2 r2c3 r2c8 r3c6 r4c7 r5c3 r5c7 r8c8 r8c9 r9c4 r9c7 Digit 9 in all 6 Templates => 9 @ r2c6 r3c7 9 @ (0, 2010, 0) r1c1 r2c6 r3c7 r4c9 r5c5 r6c3 r7c2 r8c4 r9c8 3 @ (1 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 9 @ (0, 1746, 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 3 @ (2 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 9 @ (0, 1752, 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 3 @ (3 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 9 @ (0, 1794, 2) r1c3 r2c6 r3c7 r4c2 r5c5 r6c9 r7c1 r8c4 r9c8 3 @ (4 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 9 @ (0, 1800, 2) r1c3 r2c6 r3c7 r4c2 r5c8 r6c4 r7c1 r8c5 r9c9 3 @ (5 - 2, 280 7) r1c8 r2c1 r3c4 r4c9 r5c6 r6c2 r7c7 r8c3 r9c5 9 @ (0, 2010, 2) r1c3 r2c6 r3c7 r4c9 r5c5 r6c2 r7c1 r8c4 r9c8 3 @ (6 - 2, 22 7) r1c8 r2c1 r3c4 r4c2 r5c6 r6c9 r7c7 r8c3 r9c5 9 @ (0, 2010, 0) r1c1 r2c6 r3c7 r4c9 r5c5 r6c3 r7c2 r8c4 r9c8 4 @ (1 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 9 @ (0, 1746, 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 4 @ (2 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 9 @ (0, 1752, 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 4 @ (3 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 9 @ (0, 1794, 2) r1c3 r2c6 r3c7 r4c2 r5c5 r6c9 r7c1 r8c4 r9c8 4 @ (4 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 9 @ (0, 1800, 2) r1c3 r2c6 r3c7 r4c2 r5c8 r6c4 r7c1 r8c5 r9c9 4 @ (5 - 2, 3912 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c4 r9c8 9 @ (0, 2010, 2) r1c3 r2c6 r3c7 r4c9 r5c5 r6c2 r7c1 r8c4 r9c8 4 @ (6 - 2, 3913 8) r1c9 r2c5 r3c2 r4c6 r5c7 r6c1 r7c3 r8c8 r9c4 9 @ (0, 2010, 0) r1c1 r2c6 r3c7 r4c9 r5c5 r6c3 r7c2 r8c4 r9c8 5 @ (1 - 2, 1207 6) r1c7 r2c2 r3c5 r4c3 r5c4 r6c9 r7c1 r8c8 r9c6 9 @ (0, 1746, 2) r1c3 r2c6 r3c7 r4c1 r5c5 r6c9 r7c2 r8c4 r9c8 9 @ (0, 1752, 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 5 @ (2 - 0, 3800 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 9 @ (0, 1794, 2) r1c3 r2c6 r3c7 r4c2 r5c5 r6c9 r7c1 r8c4 r9c8 9 @ (0, 1800, 2) r1c3 r2c6 r3c7 r4c2 r5c8 r6c4 r7c1 r8c5 r9c9 5 @ (3 - 0, 3800 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 9 @ (0, 2010, 2) r1c3 r2c6 r3c7 r4c9 r5c5 r6c2 r7c1 r8c4 r9c8 5 @ (4 - 0, 3800 0) r1c1 r2c8 r3c5 r4c3 r5c4 r6c9 r7c6 r8c2 r9c7 3) Double-digit POM: 9 @ r1c13 r2c6 r3c7 r4c129 r5c58 r6c2349 r7c12 r8c45 r9c89 and POM: 5 @ r1c17 r2c28 r3c5 r4c3 r5c4 r6c9 r7c126 r8c1289 r9c26789 Digit 9 not in 4 Templates => -9 @ r6c9 9 @ (0, 2010, 0) r1c1 r2c6 r3c7 r4c9 r5c5 r6c3 r7c2 r8c4 r9c8 9 @ (0, 1752, 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 6 @ (1 - 1, 2357 3) r1c4 r2c3 r3c9 r4c2 r5c5 r6c7 r7c8 r8c6 r9c1 9 @ (0, 1800, 2) r1c3 r2c6 r3c7 r4c2 r5c8 r6c4 r7c1 r8c5 r9c9 9 @ (0, 2010, 2) r1c3 r2c6 r3c7 r4c9 r5c5 r6c2 r7c1 r8c4 r9c8 3) Double-digit POM: 9 @ r1c13 r2c6 r3c7 r4c129 r5c58 r6c234 r7c12 r8c45 r9c89 and POM: 6 @ r1c4 r2c23 r3c9 r4c2 r5c35 r6c7 r7c8 r8c6 r9c1 Digit 9 not in 1 Template => -9 @ r1c1 r4c2 r4c9 r5c5 r6c2 r6c3 r7c1 r8c4 r9c8 Digit 9 in all 1 Template => 9 @ r1c3 r4c1 r5c8 r7c2 r9c9 9 @ (0, 1752, 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 7 @ (1 - 0, 428 0) r1c1 r2c4 r3c8 r4c5 r5c9 r6c3 r7c6 r8c2 r9c7 9 @ (0, 1752, 2) r1c3 r2c6 r3c7 r4c1 r5c8 r6c4 r7c2 r8c5 r9c9 8 @ (1 - 1, 4425 5) r1c6 r2c9 r3c1 r4c4 r5c2 r6c8 r7c5 r8c7 r9c3 +---------------+------------+-------------+ | 57 2 9 | 6 1 8 | 5 3 4 | | 3 56 6 | 7 4 9 | 1 25 8 | | 8 4 1 | 3 5 2 | 9 7 6 | +---------------+------------+-------------+ | 9 36 5 | 8 7 4 | 2 1 3 | | 12 8 26 | 5 6 3 | 24 9 7 | | 4 137 7 | 9 2 1 | 6 8 35 | +---------------+------------+-------------+ | 57 9 4 | 1 8 57 | 3 6 2 | | 1257 157 3 | 24 9 6 | 8 45 15 | | 6 157 8 | 24 3 257 | 457 45 9 | +---------------+------------+-------------+ stte

R. Jamil

by **P.O.** » Wed May 28, 2025 11:10 am

this puzzle is solved after initialization with the combination (3 6), you have this combination in your resolution path

Code: Select all: 3) Double-digit POM: 3 @ r1c48 r2c1 r3c49 r4c29 r5c68 r6c2689 r7c7 r8c3 r9c5 and POM: 6 @ r1c34 r2c239 r3c249 r4c25 r5c35 r6c7 r7c8 r8c6 r9c1 Digit 3 not in 2 Templates => -3 @ r1c4 r3c9 r5c8 r6c6 r6c8 Digit 3 in all 2 Templates => 3 @ r1c8 r3c4 r5c6

the placement of 3 in r1c8 r3c4 and r5c6 is enough to solve it
you could have stopped there

by **rjamil** » Wed May 28, 2025 3:22 pm

Hi P.O.,

P.O. wrote:the placement of 3 in r1c8 r3c4 and r5c6 is enough to solve it

Maybe yes.

Or, I see Phil's OTP that is also covered by the same POM move by elimitating -3 @ r3c9 r56c8.

But, due to my implementation of POM move as depth first, it is impossible to check after each elimination/placement as to whether it is enough to crack the puzzle or not.

Similarly, I see, there is a possibility to avoid unnecessary POM checks for a digit that has only one template left, for speed. But I will continue to check all combination, even if a digit has only one template left, due puzzle either has none, single or multiple solution(s).

R. Jamil

by **P.O.** » Wed May 28, 2025 5:02 pm

rjamil wrote:Or, I see Phil's OTP that is also covered by the same POM move by elimitating -3 @ r3c9 r56c8.

Phil solver does not do any template combinations, here its output with POM

Code: Select all: No pattern of 3 includes r3c6, r46c4 so 3 can be deleted from r3c6, r46c4 Naked pairs of 29 at r23c6 => -2 r3c4, r9c6, -9 r1c4, r2c5, r3c4, r5c6, r6c6, r7c6, r9c6 Naked triplets of 289 at r3c167 => -8 r3c9, -9 r3c29 Naked quads of 2579 at r2379c6 => -7 r6c6 Naked quins of 13689 at r4c4, r5c56, r6c46 => -6 r4c5, -8 r4c5, -9 r4c5 8s at r78c5 only ones in row/column => -8 r89c4. All patterns of 6 include r4c2 so this can be made equal to 6 Solved!

rjamil wrote:due puzzle either has none, single or multiple solution(s).

it is not difficult to know if a puzzle has 0, 1 or +1 solution, on the other hand a procedure template easily reports these conditions

rjamil wrote:But, due to my implementation of POM move as depth first, it is impossible to check after each elimination/placement as to whether it is enough to crack the puzzle or not.

i have several template procedures:
one that performs all combinations from size 2 to size 3 to size 4, etc.
one that performs the combinations one by one, each of the 36 combinations of size 2, each of the 84 combinations of size 3, etc. either independently of each other or taking into account the results of the previous ones
one that performs a set of combinations given as a parameter
one that randomly searches through sets of combinations
here is the output of the procedure that found that (3 6) solves the puzzle.

Hidden Text: Show

Code: Select all: .2...8..43..7..1....1.5..7...5..4.1..8.5....74...2.6.....1....2..3..6...6...3.... #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL (24 31 49) NIL NIL (14 31) NIL NIL NIL 579 2 679 369 1 8 59 359 4 3 4569 4689 7 49 29 1 2589 5689 89 469 1 23469 5 29 289 7 3689 279 3679 5 89 6789 4 289 1 389 129 8 269 5 69 139 249 2349 7 4 1379 79 89 2 1379 6 3589 3589 5789 4579 4789 1 4789 579 3 6 2 125789 14579 3 2489 4789 6 45789 4589 1589 6 14579 24789 2489 3 2579 45789 4589 1589 192 candidates. 27 values. POMCombs: 2 checkVT: NIL seuil: 2000 36: ((7 (1 6)) (7 (1 3)) (8 (3 6)) (8 (1 2)) (9 (2 6)) (9 (2 3)) (15 (1 5)) (16 (5 6)) (16 (3 5)) (17 (2 5)) (17 (1 7)) (17 (1 4)) (18 (6 7)) (18 (4 6)) (18 (3 7)) (18 (3 4)) (19 (2 7)) (19 (2 4)) (26 (5 7)) (26 (4 5)) (28 (4 7)) (33 (1 8)) (34 (6 8)) (34 (3 8)) (35 (2 8)) (42 (5 8)) (44 (7 8)) (44 (4 8)) (1279 (1 9)) (1280 (6 9)) (1280 (3 9)) (1281 (2 9)) (1288 (5 9)) (1290 (7 9)) (1290 (4 9)) (1306 (8 9))) --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 36: (1 6) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 35: (1 3) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 34: (3 6) Left in pool: (5) #VT: (3 5 2 14 12 3 14 30 1276) Cells: NIL NIL (8 22 42) NIL NIL (4) NIL NIL NIL SetVC: ( n6r1c4 n3r1c8 n3r3c4 n3r5c6 n1r6c6 n1r5c1 n4r3c2 n4r2c5 n6r3c9 n7r4c5 n4r7c3 n6r5c5 n6r4c2 n3r4c9 n3r6c2 n6r2c3 n7r6c3 n8r9c3 n8r3c1 n9r1c3 n5r1c7 n5r2c2 n2r5c3 n7r1c1 n9r4c1 n8r4c4 n2r4c7 n9r6c4 n5r7c1 n2r8c1 n4r8c4 n2r9c4 n9r3c7 n4r5c7 n9r5c8 n7r9c7 n8r2c9 n2r3c6 n5r6c9 n8r8c7 n5r8c8 n4r9c8 n9r2c6 n2r2c8 n8r6c8 n7r7c6 n9r8c5 n1r8c9 n5r9c6 n9r9c9 n9r7c2 n8r7c5 n7r8c2 n1r9c2 ) 7 2 9 6 1 8 5 3 4 3 5 6 7 4 9 1 2 8 8 4 1 3 5 2 9 7 6 9 6 5 8 7 4 2 1 3 1 8 2 5 6 3 4 9 7 4 3 7 9 2 1 6 8 5 5 9 4 1 8 7 3 6 2 2 7 3 4 9 6 8 5 1 6 1 8 2 3 5 7 4 9 **S** #VT: (3 5 2 14 12 3 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 33: (1 2) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 32: (2 6) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 31: (2 3) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 30: (1 5) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 29: (5 6) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 28: (3 5) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 27: (2 5) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 26: (1 7) Left in pool: (21) #VT: (3 5 4 14 12 4 13 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 25: (1 4) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 24: (6 7) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 23: (4 6) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 22: (3 7) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 21: (3 4) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 20: (2 7) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 19: (2 4) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 18: (5 7) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 17: (4 5) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 16: (4 7) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 15: (1 8) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 14: (6 8) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 13: (3 8) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 12: (2 8) Left in pool: (65) #VT: (3 5 4 14 12 4 14 25 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 11: (5 8) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 10: (7 8) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 9: (4 8) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 8: (1 9) Left in pool: (2086) #VT: (3 5 4 14 12 4 14 30 1201) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 7: (6 9) Left in pool: (2137) #VT: (3 5 4 14 12 4 14 30 1136) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 6: (3 9) Left in pool: (2222) #VT: (3 5 4 14 12 4 14 30 1136) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 5: (2 9) Left in pool: (2488) #VT: (3 5 4 14 12 4 14 30 1167) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 4: (5 9) Left in pool: (5966) #VT: (3 5 4 14 12 4 14 30 1272) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 3: (7 9) nil --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 2: (4 9) Left in pool: (6598) #VT: (3 5 4 14 12 4 14 30 1246) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL --------------------------------- #VT: (3 5 4 14 12 4 14 30 1276) Cells: NIL NIL NIL NIL NIL NIL NIL NIL NIL Candidates: NIL NIL NIL NIL NIL NIL NIL NIL NIL 1: (8 9) nil

by **rjamil** » Wed May 28, 2025 7:16 pm

Hi P.O.,

P.O. wrote:
rjamil wrote:Or, I see Phil's OTP that is also covered by the same POM move by elimitating -3 @ r3c9 r56c8.

Phil solver does not do any template combinations, here its output with POM
Code: Select all
No pattern of 3 includes r3c6, r46c4 so 3 can be deleted from r3c6, r46c4 Naked pairs of 29 at r23c6 => -2 r3c4, r9c6, -9 r1c4, r2c5, r3c4, r5c6, r6c6, r7c6, r9c6 Naked triplets of 289 at r3c167 => -8 r3c9, -9 r3c29 Naked quads of 2579 at r2379c6 => -7 r6c6 Naked quins of 13689 at r4c4, r5c56, r6c46 => -6 r4c5, -8 r4c5, -9 r4c5 8s at r78c5 only ones in row/column => -8 r89c4. All patterns of 6 include r4c2 so this can be made equal to 6 Solved!

Actually, I was referring to the Phil's OTP solution that he has provided above here.

R. Jamil

by **P.O.** » Fri May 30, 2025 10:18 am

Code: Select all: 3r3c9 => r4c249 <> 3 r3c9=3 - r1n3{c8 c4} - r1n6{c4 c3} - b4n6{r5c3 r4c2} => r3c9 <> 3 ste.

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Puzzle 283

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