The New Sudoku Players' Forum

Website · by **denis_berthier** » Sat Nov 09, 2024 6:17 pm

OK

Code: Select all: Resolution state after Singles and whips[1]: +----------------------+----------------------+----------------------+ ! 123 7 9 ! 123 4 8 ! 1235 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123 4 6 ! 12379 8 1237 ! 123579 1235 3579 ! ! 5 123 8 ! 123479 1239 12347 ! 12379 123 6 ! ! 7 9 123 ! 123 6 5 ! 1238 1238 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ 178 candidates.

Code: Select all: Trid-OR2-relation for digits 1, 2 and 3 in blocks: b1, with cells (marked #): r1c1, r2c2, r3c3 b2, with cells (marked #): r1c4, r2c5, r3c6 b4, with cells (marked #): r4c1, r5c2, r6c3 b5, with cells (marked #): r4c6, r5c5, r6c4 with 2 guardians (in cells marked @): n7r4c6 n9r5c5 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 12379 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 12379 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+

Trid-OR2-whip[2]: OR2{{n9r5c5 | n7r4c6}} - b6n7{r4c7 .} ==> r5c7≠9
whip[1]: r5n9{c5 .} ==> r4c4≠9

all the impossible patterns:

Code: Select all: EL13c290-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r6c3 r5c6 r5c7 r5c2 r4c6 r4c8 r4c1 r1c7 r1c1 r2c8 r2c2 r3c6 r3c3) with 7 guardians (in cells marked @) : n4r5c6 n7r5c6 n7r5c7 n7r4c6 n5r4c8 n5r1c7 n8r2c8 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237#@ 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL13c290-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r5c2 r6c8 r6c4 r6c3 r4c8 r4c6 r4c1 r1c4 r1c1 r3c6 r3c3 r2c8 r2c2) with 4 guardians (in cells marked @) : n8r6c8 n5r4c8 n7r4c6 n8r2c8 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL13c290-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r5c2 r6c7 r6c4 r6c3 r4c7 r4c6 r4c1 r1c4 r1c1 r3c6 r3c3 r2c7 r2c2) with 7 guardians (in cells marked @) : n8r6c7 n5r4c7 n7r4c7 n9r4c7 n7r4c6 n7r2c7 n8r2c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c290-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r4c1 r6c4 r6c8 r6c3 r5c4 r5c7 r5c2 r2c8 r2c2 r3c7 r3c3 r1c4 r1c1) with 7 guardians (in cells marked @) : n8r6c8 n4r5c4 n7r5c4 n9r5c4 n7r5c7 n8r2c8 n9r3c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123 ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c290-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r2c2 r3c7 r3c6 r3c3 r1c7 r1c4 r1c1 r4c6 r4c1 r6c4 r6c3 r5c7 r5c2) with 4 guardians (in cells marked @) : n9r3c7 n5r1c7 n7r4c6 n7r5c7 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL14c159s-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r7c3 r7c6 r7c4 r6c3 r4c1 r5c2 r5c5 r5c4 r3c3 r3c6 r1c1 r1c4 r2c2 r2c5) with 6 guardians (in cells marked @) : n5r7c3 n8r7c4 n9r5c5 n4r5c4 n7r5c4 n9r5c4 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239#@ 12347 ! 1237 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235#@ ! 1238#@ 123 123# ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c159-OR3-relation for digits: 1, 2 and 3 in cells (marked #): (r1c4 r1c1 r3c6 r3c3 r2c8 r2c5 r2c2 r4c4 r4c1 r5c8 r5c2 r6c8 r6c4 r6c3) with 3 guardians (in cells marked @) : n8r2c8 n7r4c4 n8r6c8 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL14c159-OR5-relation for digits: 1, 2 and 3 in cells (marked #): (r1c4 r1c1 r3c6 r3c3 r2c7 r2c5 r2c2 r4c4 r4c1 r5c7 r5c2 r6c7 r6c4 r6c3) with 5 guardians (in cells marked @) : n7r2c7 n8r2c7 n7r4c4 n7r5c7 n8r6c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL14c159-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r1c4 r1c1 r2c5 r2c2 r3c7 r3c6 r3c3 r4c4 r4c1 r6c7 r6c3 r5c7 r5c4 r5c2) with 7 guardians (in cells marked @) : n9r3c7 n7r4c4 n8r6c7 n7r5c7 n4r5c4 n7r5c4 n9r5c4 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238#@ 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c1-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r5c2 r6c4 r6c3 r4c7 r4c6 r4c1 r1c4 r1c1 r3c7 r3c6 r3c3 r2c7 r2c5 r2c2) with 7 guardians (in cells marked @) : n5r4c7 n7r4c7 n9r4c7 n7r4c6 n9r3c7 n7r2c7 n8r2c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c1-OR5-relation for digits: 1, 2 and 3 in cells (marked #): (r5c2 r4c6 r4c1 r6c7 r6c4 r6c3 r3c6 r3c3 r1c7 r1c4 r1c1 r2c7 r2c5 r2c2) with 5 guardians (in cells marked @) : n7r4c6 n8r6c7 n5r1c7 n7r2c7 n8r2c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL14c13-OR5-relation for digits: 1, 2 and 3 in cells (marked #): (r5c2 r4c6 r4c4 r4c1 r6c7 r6c4 r6c3 r1c4 r1c1 r3c6 r3c3 r2c7 r2c5 r2c2) with 5 guardians (in cells marked @) : n7r4c6 n7r4c4 n8r6c7 n7r2c7 n8r2c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237#@ 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL10c28-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r2c7 r2c2 r1c4 r1c7 r1c1 r6c4 r4c4 r5c6 r5c7 r5c2) with 7 guardians (in cells marked @) : n7r2c7 n8r2c7 n5r1c7 n7r4c4 n4r5c6 n7r5c6 n7r5c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378#@ 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123 4 6 ! 1237#@ 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237#@ 123 6 ! ! 7 9 123 ! 123# 6 5 ! 1238 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL10c28-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r2c7 r2c2 r1c4 r1c7 r1c1 r6c4 r4c4 r5c5 r5c7 r5c2) with 6 guardians (in cells marked @) : n7r2c7 n8r2c7 n5r1c7 n7r4c4 n9r5c5 n7r5c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378#@ 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123 4 6 ! 1237#@ 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237#@ 123 6 ! ! 7 9 123 ! 123# 6 5 ! 1238 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL13c179-OR3-relation for digits: 1, 2 and 3 in cells (marked #): (r6c8 r6c4 r6c3 r5c8 r5c5 r5c2 r1c4 r1c1 r3c6 r3c3 r2c8 r2c5 r2c2) with 3 guardians (in cells marked @) : n8r6c8 n9r5c5 n8r2c8 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL13c179-OR5-relation for digits: 1, 2 and 3 in cells (marked #): (r6c7 r6c4 r6c3 r5c7 r5c5 r5c2 r1c4 r1c1 r3c6 r3c3 r2c7 r2c5 r2c2) with 5 guardians (in cells marked @) : n8r6c7 n7r5c7 n9r5c5 n7r2c7 n8r2c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL13c179-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r5c7 r5c6 r5c2 r4c7 r4c4 r4c1 r3c6 r3c3 r2c5 r2c2 r1c7 r1c4 r1c1) with 8 guardians (in cells marked @) : n7r5c7 n4r5c6 n7r5c6 n5r4c7 n7r4c7 n9r4c7 n7r4c4 n5r1c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237#@ 123 6 ! ! 7 9 123 ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c30-OR5-relation for digits: 1, 2 and 3 in cells (marked #): (r4c4 r4c1 r6c7 r6c4 r6c3 r1c4 r1c1 r3c7 r3c6 r3c3 r2c7 r2c5 r2c2) with 5 guardians (in cells marked @) : n7r4c4 n8r6c7 n9r3c7 n7r2c7 n8r2c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579 1235 3579 ! ! 5 123 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL13c30-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r4c4 r4c1 r5c7 r5c4 r5c2 r1c4 r1c1 r2c7 r2c5 r2c2 r3c7 r3c6 r3c3) with 8 guardians (in cells marked @) : n7r4c4 n7r5c7 n4r5c4 n7r5c4 n9r5c4 n7r2c7 n8r2c7 n9r3c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123 ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c234-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r3c3 r2c8 r2c2 r1c4 r1c1 r4c8 r4c1 r6c4 r6c8 r6c3 r5c4 r5c7 r5c2) with 7 guardians (in cells marked @) : n8r2c8 n5r4c8 n8r6c8 n4r5c4 n7r5c4 n9r5c4 n7r5c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123 ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c234-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r2c2 r3c6 r3c3 r1c7 r1c1 r4c6 r4c1 r5c7 r5c6 r5c2 r6c7 r6c4 r6c3) with 6 guardians (in cells marked @) : n5r1c7 n7r4c6 n7r5c7 n4r5c6 n7r5c6 n8r6c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL13c176-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r1c7 r1c4 r1c1 r3c7 r3c6 r3c3 r6c4 r6c3 r5c5 r5c2 r4c7 r4c4 r4c1) with 7 guardians (in cells marked @) : n5r1c7 n9r3c7 n9r5c5 n5r4c7 n7r4c7 n9r4c7 n7r4c4 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL10c6-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r1c7 r1c1 r1c4 r6c4 r4c7 r4c1 r4c4 r5c7 r5c2 r5c5) with 7 guardians (in cells marked @) : n5r1c7 n5r4c7 n7r4c7 n9r4c7 n7r4c4 n7r5c7 n9r5c5 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237#@ 123 6 ! ! 7 9 123 ! 123# 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL10c6-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r1c4 r1c1 r1c7 r5c7 r4c4 r4c1 r4c7 r6c4 r6c3 r6c8) with 7 guardians (in cells marked @) : n5r1c7 n7r5c7 n7r4c4 n5r4c7 n7r4c7 n9r4c7 n8r6c8 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123 8 ! 123479 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c259s-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r7c3 r7c6 r7c5 r2c5 r3c3 r3c6 r1c1 r1c4 r6c3 r4c1 r5c2 r5c6 r5c5) with 4 guardians (in cells marked @) : n5r7c3 n4r5c6 n7r5c6 n9r5c5 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347#@ ! 1237 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235#@ ! 1238 123# 123# ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL13c259s-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r7c3 r7c6 r7c4 r1c4 r3c3 r3c6 r2c2 r2c5 r6c3 r5c2 r4c1 r4c6 r4c4) with 4 guardians (in cells marked @) : n5r7c3 n8r7c4 n7r4c6 n7r4c4 +----------------------+----------------------+----------------------+ ! 123 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237#@ 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235#@ ! 1238#@ 123 123# ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL13c259-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r1c4 r3c3 r3c6 r2c8 r2c2 r2c5 r6c3 r5c8 r5c2 r5c4 r4c8 r4c1 r4c4) with 6 guardians (in cells marked @) : n8r2c8 n4r5c4 n7r5c4 n9r5c4 n5r4c8 n7r4c4 +----------------------------+----------------------------+----------------------------+ ! 123 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c259-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r1c4 r2c2 r2c5 r3c7 r3c3 r3c6 r5c2 r6c7 r6c3 r6c4 r4c7 r4c1 r4c4) with 6 guardians (in cells marked @) : n9r3c7 n8r6c7 n5r4c7 n7r4c7 n9r4c7 n7r4c4 +----------------------------+----------------------------+----------------------------+ ! 123 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL10c8-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r3c7 r3c6 r3c3 r6c3 r5c7 r5c6 r5c2 r4c7 r4c6 r4c1) with 8 guardians (in cells marked @) : n9r3c7 n7r5c7 n4r5c6 n7r5c6 n5r4c7 n7r4c7 n9r4c7 n7r4c6 +----------------------------+----------------------------+----------------------------+ ! 123 7 9 ! 123 4 8 ! 1235 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237#@ 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL10c8-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r1c7 r1c4 r1c1 r4c1 r6c7 r6c4 r6c3 r5c7 r5c4 r5c2) with 6 guardians (in cells marked @) : n5r1c7 n8r6c7 n7r5c7 n4r5c4 n7r5c4 n9r5c4 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c172-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r1c7 r1c4 r1c1 r3c7 r3c6 r3c3 r6c4 r6c3 r5c6 r5c2 r4c7 r4c4 r4c1) with 8 guardians (in cells marked @) : n5r1c7 n9r3c7 n4r5c6 n7r5c6 n5r4c7 n7r4c7 n9r4c7 n7r4c4 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c19-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r6c3 r5c8 r5c7 r5c2 r4c6 r4c7 r4c1 r3c6 r3c3 r1c4 r1c1 r2c5 r2c7 r2c2) with 7 guardians (in cells marked @) : n7r5c7 n7r4c6 n5r4c7 n7r4c7 n9r4c7 n7r2c7 n8r2c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123# 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c19-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r6c3 r5c7 r5c8 r5c2 r4c6 r4c8 r4c1 r3c6 r3c3 r1c4 r1c1 r2c5 r2c8 r2c2) with 4 guardians (in cells marked @) : n7r5c7 n7r4c6 n5r4c8 n8r2c8 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123# 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL14c19-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r6c3 r4c8 r4c7 r4c1 r5c6 r5c7 r5c2 r3c6 r3c3 r2c5 r2c2 r1c4 r1c7 r1c1) with 8 guardians (in cells marked @) : n5r4c8 n5r4c7 n7r4c7 n9r4c7 n4r5c6 n7r5c6 n7r5c7 n5r1c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579#@ 1235#@ 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237#@ 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c19-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r4c1 r6c8 r6c7 r6c3 r5c4 r5c7 r5c2 r1c4 r1c1 r2c5 r2c2 r3c6 r3c7 r3c3) with 7 guardians (in cells marked @) : n8r6c8 n8r6c7 n4r5c4 n7r5c4 n9r5c4 n7r5c7 n9r3c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238#@ 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c19-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r4c1 r5c8 r5c7 r5c2 r6c4 r6c7 r6c3 r1c4 r1c1 r3c6 r3c3 r2c5 r2c7 r2c2) with 4 guardians (in cells marked @) : n7r5c7 n8r6c7 n7r2c7 n8r2c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL14c19-OR3-relation for digits: 1, 2 and 3 in cells (marked #): (r4c1 r5c7 r5c8 r5c2 r6c4 r6c8 r6c3 r1c4 r1c1 r3c6 r3c3 r2c5 r2c8 r2c2) with 3 guardians (in cells marked @) : n7r5c7 n8r6c8 n8r2c8 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL13c168-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r1c7 r1c4 r1c1 r2c7 r2c5 r2c2 r4c1 r5c7 r5c5 r5c2 r6c8 r6c4 r6c3) with 6 guardians (in cells marked @) : n5r1c7 n7r2c7 n8r2c7 n7r5c7 n9r5c5 n8r6c8 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL10c1-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r1c1 r1c4 r1c7 r5c7 r6c4 r6c8 r6c7 r4c1 r4c6 r4c4) with 6 guardians (in cells marked @) : n5r1c7 n7r5c7 n8r6c8 n8r6c7 n7r4c6 n7r4c4 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237#@ 8 1237#@ ! 123579 1235 3579 ! ! 5 123 8 ! 123479 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123 ! 123# 6 5 ! 1238#@ 1238#@ 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL12c26-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r6c4 r6c7 r6c3 r5c4 r5c8 r5c2 r1c4 r1c7 r1c1 r2c5 r2c7 r2c2) with 7 guardians (in cells marked @) : n8r6c7 n4r5c4 n7r5c4 n9r5c4 n5r1c7 n7r2c7 n8r2c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL12c26-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r5c4 r5c7 r5c2 r6c4 r6c8 r6c3 r1c4 r1c7 r1c1 r3c6 r3c7 r3c3) with 7 guardians (in cells marked @) : n4r5c4 n7r5c4 n9r5c4 n7r5c7 n8r6c8 n5r1c7 n9r3c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL12c25-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r4c4 r4c7 r4c1 r6c4 r6c8 r6c3 r1c4 r1c7 r1c1 r3c6 r3c7 r3c3) with 7 guardians (in cells marked @) : n7r4c4 n5r4c7 n7r4c7 n9r4c7 n8r6c8 n5r1c7 n9r3c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123 8 ! 123479 1239 12347 ! 1237 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c29-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r3c7 r3c3 r1c4 r1c7 r1c1 r6c7 r6c3 r4c4 r4c8 r4c1 r5c4 r5c8 r5c2) with 8 guardians (in cells marked @) : n9r3c7 n5r1c7 n8r6c7 n7r4c4 n5r4c8 n4r5c4 n7r5c4 n9r5c4 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123 ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123 6 5 ! 1238#@ 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL13c29-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r2c7 r2c2 r1c4 r1c7 r1c1 r5c7 r5c2 r4c4 r4c8 r4c1 r6c4 r6c8 r6c3) with 7 guardians (in cells marked @) : n7r2c7 n8r2c7 n5r1c7 n7r5c7 n7r4c4 n5r4c8 n8r6c8 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378#@ 1238 378 ! ! 8 5 123 ! 6 7 123 ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL14c152-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r4c6 r4c1 r6c4 r6c3 r5c7 r5c6 r5c2 r3c6 r3c3 r1c7 r1c1 r2c8 r2c7 r2c2) with 8 guardians (in cells marked @) : n7r4c6 n7r5c7 n4r5c6 n7r5c6 n5r1c7 n8r2c8 n7r2c7 n8r2c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378#@ 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL14c17-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r1c1 r2c8 r2c7 r2c2 r3c6 r3c7 r3c3 r4c6 r4c1 r5c6 r5c7 r5c2 r6c4 r6c3) with 8 guardians (in cells marked @) : n8r2c8 n7r2c7 n8r2c7 n9r3c7 n7r4c6 n4r5c6 n7r5c6 n7r5c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378#@ 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL14c14-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r6c3 r4c6 r4c4 r4c1 r5c7 r5c4 r5c2 r1c4 r1c1 r2c5 r2c2 r3c7 r3c6 r3c3) with 7 guardians (in cells marked @) : n7r4c6 n7r4c4 n7r5c7 n4r5c4 n7r5c4 n9r5c4 n9r3c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479#@ 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c7-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r4c1 r5c7 r5c8 r5c2 r6c4 r6c8 r6c3 r2c2 r1c4 r1c7 r1c1 r3c6 r3c7 r3c3) with 4 guardians (in cells marked @) : n7r5c7 n8r6c8 n5r1c7 n9r3c7 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL14c3-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r2c5 r3c3 r3c6 r1c7 r1c1 r1c4 r4c7 r4c1 r5c7 r5c2 r5c5 r6c8 r6c3 r6c4) with 7 guardians (in cells marked @) : n5r1c7 n5r4c7 n7r4c7 n9r4c7 n7r5c7 n9r5c5 n8r6c8 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL14c2-OR5-relation for digits: 1, 2 and 3 in cells (marked #): (r2c2 r3c6 r3c3 r1c7 r1c4 r1c1 r5c7 r5c2 r6c7 r6c4 r6c3 r4c8 r4c6 r4c1) with 5 guardians (in cells marked @) : n5r1c7 n7r5c7 n8r6c7 n5r4c8 n7r4c6 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL14c2-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r2c2 r1c4 r1c1 r3c7 r3c6 r3c3 r5c7 r5c2 r4c7 r4c6 r4c1 r6c8 r6c4 r6c3) with 7 guardians (in cells marked @) : n9r3c7 n7r5c7 n5r4c7 n7r4c7 n9r4c7 n7r4c6 n8r6c8 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL15c89-OR6-relation for digits: 1, 2 and 3 in cells (marked #): (r1c4 r1c1 r2c5 r2c2 r3c7 r3c6 r3c3 r4c7 r4c1 r6c7 r6c4 r6c3 r5c8 r5c5 r5c2) with 6 guardians (in cells marked @) : n9r3c7 n5r4c7 n7r4c7 n9r4c7 n8r6c7 n9r5c5 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL15c64-OR8-relation for digits: 1, 2 and 3 in cells (marked #): (r6c3 r4c7 r4c4 r4c1 r5c8 r5c6 r5c2 r1c4 r1c1 r3c7 r3c6 r3c3 r2c8 r2c5 r2c2) with 8 guardians (in cells marked @) : n5r4c7 n7r4c7 n9r4c7 n7r4c4 n4r5c6 n7r5c6 n9r3c7 n8r2c8 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347#@ ! 1237 123# 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL15c62-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r1c4 r3c7 r3c3 r3c6 r2c8 r2c2 r2c5 r6c3 r6c4 r4c7 r4c1 r4c4 r5c8 r5c2 r5c5) with 7 guardians (in cells marked @) : n9r3c7 n8r2c8 n5r4c7 n7r4c7 n9r4c7 n7r4c4 n9r5c5 +----------------------------+----------------------------+----------------------------+ ! 123 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123# 4 6 ! 1237#@ 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+ EL15c60-OR5-relation for digits: 1, 2 and 3 in cells (marked #): (r4c1 r6c7 r6c4 r6c3 r5c8 r5c5 r5c2 r1c4 r1c1 r2c7 r2c5 r2c2 r3c7 r3c6 r3c3) with 5 guardians (in cells marked @) : n8r6c7 n9r5c5 n7r2c7 n8r2c7 n9r3c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL15c59-OR7-relation for digits: 1, 2 and 3 in cells (marked #): (r4c7 r5c5 r5c2 r5c8 r6c4 r6c3 r6c8 r2c5 r2c2 r1c4 r1c1 r1c7 r3c6 r3c3 r3c7) with 7 guardians (in cells marked @) : n5r4c7 n7r4c7 n9r4c7 n9r5c5 n8r6c8 n5r1c7 n9r3c7 +----------------------------+----------------------------+----------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235#@ 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239#@ 4 39 ! +----------------------------+----------------------------+----------------------------+ ! 123 4 6 ! 1237 8 1237 ! 123579#@ 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 1237 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------------+----------------------------+----------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------------+----------------------------+----------------------------+

EL14c19-OR3-whip[3]: OR3{{n8r2c8 n8r6c8 | n7r5c7}} - r2n7{c7 c9} - c9n8{r2 .} ==> r8c8≠8
Entering_level_L4_with_<Fact-10849>
Trid-OR2-ctr-whip[4]: c4n9{r8 r5} - c4n4{r5 r9} - c4n7{r9 r4} - OR2{{n9r5c5 n7r4c6 | .}} ==> r8c4≠8
Trid-OR2-ctr-whip[4]: c4n9{r8 r5} - c4n4{r5 r9} - c4n7{r9 r4} - OR2{{n9r5c5 n7r4c6 | .}} ==> r8c4≠3
Trid-OR2-ctr-whip[4]: c4n9{r8 r5} - c4n4{r5 r9} - c4n7{r9 r4} - OR2{{n9r5c5 n7r4c6 | .}} ==> r8c4≠1
EL14c19-OR4-whip[4]: c9n8{r7 r2} - c9n7{r2 r4} - OR4{{n7r4c6 n7r5c7 n8r2c8 | n5r4c8}} - r8c8{n5 .} ==> r7c9≠3
biv-chain[3]: r8c8{n3 n5} - r7c9{n5 n8} - r8n8{c7 c2} ==> r8c2≠3
z-chain[3]: r7n3{c6 c3} - c3n5{r7 r8} - r8c8{n5 .} ==> r8c6≠3, r8c5≠3
biv-chain[4]: c3n7{r9 r8} - b7n5{r8c3 r7c3} - r7c9{n5 n8} - b8n8{r7c4 r9c4} ==> r9c4≠7
z-chain[3]: b8n7{r9c6 r8c4} - c4n9{r8 r5} - r5n4{c4 .} ==> r5c6≠7
Trid-OR2-ctr-whip[3]: c4n9{r8 r5} - c4n7{r5 r4} - OR2{{n7r4c6 n9r5c5 | .}} ==> r8c4≠4
biv-chain[4]: r8c5{n1 n9} - c4n9{r8 r5} - c4n4{r5 r9} - b8n8{r9c4 r7c4} ==> r7c4≠1
biv-chain[4]: r8c5{n1 n9} - c4n9{r8 r5} - c4n4{r5 r9} - b7n4{r9c1 r8c1} ==> r8c1≠1
finned-x-wing-in-columns: n1{c1 c4}{r1 r4} ==> r4c6≠1
z-chain[4]: r8c4{n7 n9} - r8c5{n9 n1} - b7n1{r8c2 r7c3} - c3n5{r7 .} ==> r8c3≠7
hidden-single-in-a-block ==> r9c3=7
biv-chain[3]: b8n7{r8c6 r8c4} - c4n9{r8 r5} - c4n4{r5 r9} ==> r8c6≠4
hidden-single-in-a-row ==> r8c1=4
biv-chain[4]: c9n8{r7 r2} - c9n7{r2 r4} - c6n7{r4 r8} - r8n6{c6 c7} ==> r8c7≠8
hidden-single-in-a-row ==> r8c2=8
whip[1]: b7n1{r8c3 .} ==> r3c3≠1, r6c3≠1
naked-pairs-in-a-column: c3{r3 r6}{n2 n3} ==> r8c3≠3, r7c3≠3, r7c3≠2
whip[1]: r7n2{c6 .} ==> r9c4≠2, r9c6≠2
whip[1]: r7n3{c6 .} ==> r9c4≠3, r9c6≠3
whip[1]: b7n3{r9c2 .} ==> r9c7≠3
finned-x-wing-in-columns: n1{c2 c8}{r2 r5} ==> r5c7≠1
biv-chain[4]: r9c6{n6 n4} - b5n4{r5c6 r5c4} - c4n9{r5 r8} - r8n7{c4 c6} ==> r8c6≠6
stte

Website · by **denis_berthier** » Sat Nov 09, 2024 6:32 pm

.
Note that, after seeing the previous solution, one can use the new feature of SudoRules and select only EL14c19 (+ tridagons); one can also set ?*max-guardians* to 4. one will get a cleaned resolution path:

Code: Select all: Trid-OR2-relation for digits 1, 2 and 3 in blocks: b1, with cells (marked #): r1c1, r2c2, r3c3 b2, with cells (marked #): r1c4, r2c5, r3c6 b4, with cells (marked #): r4c1, r5c2, r6c3 b5, with cells (marked #): r4c6, r5c5, r6c4 with 2 guardians (in cells marked @): n7r4c6 n9r5c5 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 12379 8 1237#@ ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239#@ 12347 ! 12379 123 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+

Trid-OR2-whip[2]: OR2{{n9r5c5 | n7r4c6}} - b6n7{r4c7 .} ==> r5c7≠9
whip[1]: r5n9{c5 .} ==> r4c4≠9

Code: Select all: EL14c19-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r6c3 r5c7 r5c8 r5c2 r4c6 r4c8 r4c1 r3c6 r3c3 r1c4 r1c1 r2c5 r2c8 r2c2) with 4 guardians (in cells marked @) : n7r5c7 n7r4c6 n5r4c8 n8r2c8 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237 8 1237#@ ! 123579 1235#@ 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123# 6 ! ! 7 9 123# ! 123 6 5 ! 1238 1238 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+ EL14c19-OR4-relation for digits: 1, 2 and 3 in cells (marked #): (r4c1 r5c8 r5c7 r5c2 r6c4 r6c7 r6c3 r1c4 r1c1 r3c6 r3c3 r2c5 r2c7 r2c2) with 4 guardians (in cells marked @) : n7r5c7 n8r6c7 n7r2c7 n8r2c7 +-------------------------+-------------------------+-------------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378#@ 1238 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +-------------------------+-------------------------+-------------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238#@ 1238 4 ! +-------------------------+-------------------------+-------------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +-------------------------+-------------------------+-------------------------+ EL14c19-OR3-relation for digits: 1, 2 and 3 in cells (marked #): (r4c1 r5c7 r5c8 r5c2 r6c4 r6c8 r6c3 r1c4 r1c1 r3c6 r3c3 r2c5 r2c8 r2c2) with 3 guardians (in cells marked @) : n7r5c7 n8r6c8 n8r2c8 +----------------------+----------------------+----------------------+ ! 123# 7 9 ! 123# 4 8 ! 1235 6 35 ! ! 6 123# 4 ! 5 123# 9 ! 12378 1238#@ 378 ! ! 8 5 123# ! 6 7 123# ! 1239 4 39 ! +----------------------+----------------------+----------------------+ ! 123# 4 6 ! 1237 8 1237 ! 123579 1235 3579 ! ! 5 123# 8 ! 123479 1239 12347 ! 1237#@ 123# 6 ! ! 7 9 123# ! 123# 6 5 ! 1238 1238#@ 4 ! +----------------------+----------------------+----------------------+ ! 9 6 1235 ! 1238 123 123 ! 4 7 358 ! ! 134 138 1357 ! 134789 139 13467 ! 3568 358 2 ! ! 234 238 237 ! 23478 5 23467 ! 368 9 1 ! +----------------------+----------------------+----------------------+

EL14c19-OR3-whip[3]: OR3{{n8r2c8 n8r6c8 | n7r5c7}} - r2n7{c7 c9} - c9n8{r2 .} ==> r8c8≠8
Entering_level_L4_with_<Fact-9402>
Trid-OR2-ctr-whip[4]: c4n9{r8 r5} - c4n4{r5 r9} - c4n7{r9 r4} - OR2{{n9r5c5 n7r4c6 | .}} ==> r8c4≠8
Trid-OR2-ctr-whip[4]: c4n9{r8 r5} - c4n4{r5 r9} - c4n7{r9 r4} - OR2{{n9r5c5 n7r4c6 | .}} ==> r8c4≠3
Trid-OR2-ctr-whip[4]: c4n9{r8 r5} - c4n4{r5 r9} - c4n7{r9 r4} - OR2{{n9r5c5 n7r4c6 | .}} ==> r8c4≠1
EL14c19-OR4-whip[4]: c9n8{r7 r2} - c9n7{r2 r4} - OR4{{n7r4c6 n7r5c7 n8r2c8 | n5r4c8}} - r8c8{n5 .} ==> r7c9≠3
biv-chain[3]: r8c8{n3 n5} - r7c9{n5 n8} - r8n8{c7 c2} ==> r8c2≠3
z-chain[3]: r7n3{c6 c3} - c3n5{r7 r8} - r8c8{n5 .} ==> r8c6≠3, r8c5≠3
biv-chain[4]: c3n7{r9 r8} - b7n5{r8c3 r7c3} - r7c9{n5 n8} - b8n8{r7c4 r9c4} ==> r9c4≠7
z-chain[3]: b8n7{r9c6 r8c4} - c4n9{r8 r5} - r5n4{c4 .} ==> r5c6≠7
Trid-OR2-ctr-whip[3]: c4n9{r8 r5} - c4n7{r5 r4} - OR2{{n7r4c6 n9r5c5 | .}} ==> r8c4≠4
biv-chain[4]: r8c5{n1 n9} - c4n9{r8 r5} - c4n4{r5 r9} - b8n8{r9c4 r7c4} ==> r7c4≠1
biv-chain[4]: r8c5{n1 n9} - c4n9{r8 r5} - c4n4{r5 r9} - b7n4{r9c1 r8c1} ==> r8c1≠1
finned-x-wing-in-columns: n1{c1 c4}{r1 r4} ==> r4c6≠1
z-chain[4]: r8c4{n7 n9} - r8c5{n9 n1} - b7n1{r8c2 r7c3} - c3n5{r7 .} ==> r8c3≠7
hidden-single-in-a-block ==> r9c3=7
biv-chain[3]: b8n7{r8c6 r8c4} - c4n9{r8 r5} - c4n4{r5 r9} ==> r8c6≠4
hidden-single-in-a-row ==> r8c1=4
biv-chain[4]: c9n8{r7 r2} - c9n7{r2 r4} - c6n7{r4 r8} - r8n6{c6 c7} ==> r8c7≠8
hidden-single-in-a-row ==> r8c2=8
whip[1]: b7n1{r8c3 .} ==> r3c3≠1, r6c3≠1
naked-pairs-in-a-column: c3{r3 r6}{n2 n3} ==> r8c3≠3, r7c3≠3, r7c3≠2
whip[1]: r7n2{c6 .} ==> r9c4≠2, r9c6≠2
whip[1]: r7n3{c6 .} ==> r9c4≠3, r9c6≠3
whip[1]: b7n3{r9c2 .} ==> r9c7≠3
finned-x-wing-in-columns: n1{c2 c8}{r2 r5} ==> r5c7≠1
biv-chain[4]: r9c6{n6 n4} - b5n4{r5c6 r5c4} - c4n9{r5 r8} - r8n7{c4 c6} ==> r8c6≠6
stte

by **coloin** » Sat Nov 09, 2024 8:45 pm

Certainly a "mission" well done....

Looking back at eleven's 680 impossible patterns with 6 boxes Chromatic Patterns ....
Of course the impossible patterns dont occur in valid grids/puzzles as was realized ... dobrichev produced the number of 92048 essentially different 3-rookeries
It would seem that all of these 3-rookeries allow the 3 clues.

One valid example

Hidden Text: Show

Of note
If all the clues are [essentially] diagonal .... there are 18 possibile ED patterns of 27 clues, of which only 3 can be filled with a valid 3-template.
So the other 15 patterns have impossible 3-templates [ for 3 clues]
So some of the 3 impossible [tridagon] patterns will identifiable somewhere in all these 15 templates

there are 18 ED diagonal clues templates

Hidden Text: Show

and only 3 valid templates with 3 [123] diagonal clues

Hidden Text: Show

Website · by **denis_berthier** » Sun Nov 10, 2024 4:35 am

coloin wrote:dobrichev produced the number of 92048 essentially different 3-rookeries

Do you have a link?
Just to make sure we talk of the same thing: 3-rookerie = template[3] ?

coloin wrote:It would seem that all of these 3-rookeries allow the 3 clues.

Do you mean that you can transform any 3-rookerie into a 3-digit pattern?
(Of course, this would be true and the pattern wouldn't be impossible a priori - though nothing can guarantee it would appear in any real puzzle.)
.

Website · by **denis_berthier** » Tue Nov 19, 2024 5:10 am

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Hi coloin,
Do you still keep an up-to-date list of all the minimal BxBs ≥7 ?
If so, could you publish it? I'm lazy to check all the new puzzles published since your last version.
.

by **coloin** » Wed Nov 20, 2024 12:57 am

hi denis, I'm still trying to work out what relevance invalid templates have to the 9 template state !

Here are the 85 max expands

Hidden Text: Show

Code: Select all: 1..4.678.4..18..368...731.4.4..678.3...81.4.....3.4....9....6..6.2......7146.8...## 3# 6990 FNBP C34/M2.97.67 ##11 ....5..89.5.18.23.......5.1295...8.33.4.......6..3....5..3.1.988..59.12.9...283.5## 3# 6883 FNBP C34/M2.97.67 ##11 12..56..9.571.9..66.927...52.571..6...6.95......6.2.........3.1...5.1697..1....4.## 3# 6681 FNBP C34/M2.97.67 ##11 ...4.67..4..18.2.6....27....96.......48261...5.1...6.....81.4.2..46.2..1..2.7486.##12# 720 FNBP C33/M2.74.88 ##10 ...4.6...4.718.2..6...27...2.184......4.71..287.6.2..4.......977.....3.1...714.28##12# 720 FNBP C33/M2.74.88 ##10 12..5.78..57.8.2.66.8.2..152.........85.....27.6..21.8...97....87.265........4..7##12# 720 FNBP C33/M2.74.88 ##10 ...4.6...4.718.2..6...72...2.481......1.27..487.6.4..2.......977.....3.1...741.28##12# 720 FNBP C33/M2.74.88 ##10 ...4.6...4.718.2..6...27...2.481......1.72..487.6.4..2.......977.....3.1...741.28##12# 720 FNBP C33/M2.74.88 ##10 1234.6......18.2.....2.7...2.63....139.6..42..14...6.36.2...9...41.6.3.293.......##12# 720 FNBP C33/M2.74.88 ##10 ...4.67..4..18.2.6....27....96.......48261...5.1...6.....81.4.2..26.4..1..4.7286.##12# 720 FNBP C33/M2.74.88 ##10 ..3.567.9..71...36...73.51.2.6......3.5...671.81.6..........9.7....9..63.3.67.15.##12# 720 FNBP C33/M2.74.88 ##10 1234.6......18.2.....2.7...2.6...9..39........14.6.3.2.41...6.36.23....193.6..42.##12# 720 FNBP C33/M2.74.88 ##10 ..3.567.9..71.9.36..937.51.2.6.......4....6..9756.3.......379.....9......9.56.3.1##12# 720 FNBP C33/M2.74.88 ##10 ...4.67..4..18.2.6....72....96.......48261...5.1...6.....81.4.2..26.4..1..4.2786.##12# 720 FNBP C33/M2.74.88 ##10 ...4.6...4.718.2..6...27...2.481......1.74..287.6.2..4.......977.....3.1...741.28##12# 720 FNBP C33/M2.74.88 ##10 12..56.8..5718....6.87.2.1.26.......8.1.2.....7561.8.........64....6.37.716....58##15# 6712 FNBP C34/M2.108.60 ## 9 1234.6......18.2.....2.7...26.3...913.96..42..41...6.3.14.6.3.263....9..9.2......##15# 6914 FNBP C34/M2.108.60 ## 9 1.3.5.78..57.8..3686..3.1.5.3....5.8......37.78...3.61.1...4......91.......36581.##15# 6413 FNBP C34/M2.108.60 ## 9 1234.6......18.2.....2.7...2.9.......14.6.3.263....9..3.26..49..41...6.396.3...21##15# 6914 FNBP C34/M2.108.60 ## 9 .23.5.78.45..8..237.8.3.5.427...345.3.4.......85....3.5.7328......97.........1.7.##15# 6712 FNBP C34/M2.108.60 ## 9 1.3..67.9.57..9.3669...715........957.59..31.9.....6.73..8........691.73....23...##15# 6413 FNBP C34/M2.108.60 ## 9 1.3...789.57..9...6.9........8.91.43..184.97....7.31.8.1.9.83.7.....481........94##15# 6615 FNBP C34/M2.108.60 ## 9 12.......4571.9.....8....1...5.1439....97..5....3.5...5..79.14.7..5.19.39...43.75##15# 6712 FNBP C34/M2.108.60 ## 9 12.......4571.9.....8....1...5.1439....79..5....3.5...5..94.17.7..5.19.39...73.45##15# 6712 FNBP C34/M2.108.60 ## 9 12.......4571.9.....8....1...5.1439....79..5....3.5...5..97.14.7..5.19.39...43.75##15# 6712 FNBP C34/M2.108.60 ## 9 12.......4571.9.....8....1...5.1439....79..5....5.3...5..97.14.7..3.19.59...45.73##15# 6712 FNBP C34/M2.108.60 ## 9 12.......4571.9.....8....1...5.1439....97..5....5.3...5..79.14.7..3.19.59...45.73##15# 6712 FNBP C34/M2.108.60 ## 9 1.3.5.78..57.8..3686..7.1.5.85.....763...7.187.1......3.8765........4..3...23....##15# 6914 FNBP C34/M2.108.60 ## 9 1.3..67.9.57..9.6369....51........3776.9..15..3....9.6....95671....47....7.2.1...##15# 6712 FNBP C34/M2.108.60 ## 9 12.......4571.9.....8....1...5.1439....79..5....5.3...5..94.17.7..3.19.59...75.43##15# 6712 FNBP C34/M2.108.60 ## 9 .23....894...8.23.89..2.1.4249.38......64792........4.3.48.1.92.82....1.91.......## 1# 1019 FNBP C35/M1.4.37 ## 8 12..567.9.57..9...6.9......2..5.1.7..15.67...7.692..5.562....17.....2......6.5328## 1# 1019 FNBP C35/M1.4.37 ## 8 1.3..67.9.57..9.36.....715..76...5.331....69.5.9....7....8.39....1..5.......2..6.## 2# 97653 FNBP C31/M2.29.226 ##10 .2..56....5718...6..62.7...27.5.18..6.5.28.1..18.7...........4.581....72......3..## 2# 97654 FNBP C31/M2.29.226 ##10 1.3..6.8..57....3668......1....18357...2.........4....53..7.8..7.6...1.5.185...73## 1# 6117 FNBP C31/M2.94.69 ##10 ...4.678....18.2.6.6..72.14...61..7...62.71.8....48.623..........5.......74821...## 1# 311 FNBP C32/M1.2.54 ##10 ..3.56.....71.9.36..937.51.2.671....8..96......5......3...9...5...63..71...5..39.## 3# 1296 FNBP C31/M1.1.49 ## 9 12..567.9.571.92.6...27................597.12..5...8.3.61.2....5....1...79..65...## 3# 1299 FNBP C31/M1.1.49 ## 9 12..567.9.571.92.6...27...............5...8.3...567.12.91.2....5....1...76..95...## 3# 1296 FNBP C31/M1.1.49 ## 9 ..3.56.....71.9.36..937.51.2.671....8..96......5..........97..5...63..71...5.139.## 6# 1015 FNBP C32/M1.1.50 ## 8 12..567.9.571.92.66.927................597.12......8.3.61.2....5....1...79..65...## 6# 1015 FNBP C32/M1.1.50 ## 8 12..567.9.571.92.69.627...................8.3...567.12.91.2....5....1...76..95...## 6# 1015 FNBP C32/M1.1.50 ## 8 ..3.567.9..71.9.36..9...51.2.....1.7..5......8.1...6.3....97.65...6.39.1...5..37.## 6# 1015 FNBP C32/M1.1.50 ## 8 .2345..89....8923..982.35.4....4...5...8.5.2....39..485.2...493..........16......## 6# 1015 FNBP C32/M1.1.50 ## 8 1.3...7.9.571.9.3669.7.351....96.375...8.2............37....15.5......6..16...9..## 6# 1030 FNBP C32/M1.1.50 ## 8 ......7.9............21364.2.836....31..428.6.641.82.3.328.1...84.6.......1..4...## 6# 1015 FNBP C32/M1.2.24 ## 7 ......7.9............21364.2.836....31..428.6.648.12.3.321.8...84.6.......1..4...## 6# 1015 FNBP C32/M1.2.24 ## 7 ......7.9............21364.2.836....31..482.6.641.28.3.328.1...84.6.......1..4...## 6# 1015 FNBP C32/M1.2.24 ## 7 123...7.9................642.5.13.....7..2...9..57....39.1.5...5.1.27.93.7239..15## 6# 1009 FNBP C32/M1.2.24 ## 7 123...7.9................642.5.13.....7..2...9..57....39.1.5...5.2.97.13.7132..95## 6# 1009 FNBP C32/M1.2.24 ## 7 123...7.9................642.5.97.1339.1.5....7132..955.2.13.....7..2...9..57....## 6# 1009 FNBP C32/M1.2.24 ## 7 1.3.567...5718....68.3.75...31......7.5..3...86..15.73.....189.5.8...6.7........2## 2# 1360 FNBP C33/M1.2.50 ##10 1...567.9...1.9.366..73.15....5.3......61...5..5.973.1..2.....778......39.6.71...## 2# 1370 FNBP C33/M1.2.50 ##10 ....5.7..4.7189......3.7...2.1.......48...1..79..1.42..12..894.8.4..1.7297...48.1## 2# 718 FNBP C34/M1.3.43 ##10 ....5.7..4.7189......3.7...2.1.......48...1..97..1.42..12..894.79...48.18.4..1.72## 2# 718 FNBP C34/M1.3.43 ##10 12....7.9....8.23.....2...527..18....19.6....8.6.......826.19..7.189.6..96..721..## 2# 2223 FNBP C33/M1.2.50 ##10 1.3.567...5718....68.3.75...31......7.5..3...86..15.73......89.518...6.7........2## 2# 2223 FNBP C33/M1.2.50 ##10 12..567.9.5....26........5127....1.6.652...979.16..52....76.912...9.8.......3....## 2# 9363 FNBP C33/M2.129.50 ##10 12..567.9.5....26........5126....1.7.752...969.16..52....76.912...9.8.......3....## 2# 9363 FNBP C33/M2.129.50 ##10 ..3.5678...718..36...3.71.52........3.1...567.46.............5883.7.56.1...8..37.## 4# 9206 FNBP C33/M2.130.50 ##10 12...6.89.56..91.28.9..156.2.8....95.15......96.....1.....4..2....3.2.5..92.68...## 4# 9364 FNBP C33/M2.130.50 ##10 ..3.5678...718..36...7.31.52.........46......7.1...563.......5887.3.56.1...8..37.## 4# 9206 FNBP C33/M2.130.50 ##10 123.56.......8.......7.2...21...596..36....519.5..13.239.......5.1....9..6259..13## 4# 9196 FNBP C33/M2.130.50 ##10 ......7.94.7...236....7..5.26.73.4..7.46.83...38.246..34..6.....7284..6.8.6......## 4# 742 FNBP C34/M2.89.73 ##10 ......7.94.7...236....7..5.26.73.4..7.86.43...34.286..34..6.....7284..6.8.6......## 4# 742 FNBP C34/M2.89.73 ##10 12........57.8.2.66.8...1..2.58...17.76...8.281.2..56....79.6..7625.8......6.4...## 4# 742 FNBP C34/M2.89.73 ##10 .234.6.8.4.678..3.78..32.4....6.84736.....9.........613..84.......2.3...8.2.673..## 4# 742 FNBP C34/M2.89.73 ##10 12..56.8..5718....6.87.2.1.2........7.52....1.168........6...5456....178......36.## 1# 42134 FNBP C32/M2.70.93 ## 9 ....5..89.5.18.23.......1.529....3.83.4.1.....6..3.......89..238..3.59.19...2185.## 3# 9090 FNBP C33/M2.62.105 ## 9 ....5..89.5.18.23.......1.529....3.83.4.1.....6..3.......89..238...2195.9..3.58.1## 3# 9090 FNBP C33/M2.62.105 ## 9 ....5..89.5.18.23.......1.529....8.33.4.1.....6..3.......39..288...2195.9..8.53.1## 3# 9090 FNBP C33/M2.62.105 ## 9 .2....7.9...1.9.36.9.....5.2.9.18..3.3126...886.9.3..1.1269.....8..31......8.2...## 3# 7213 FNBP C33/M2.96.68 ## 9 .2....7.9...1.9.36.9.....5.2.9.38..1.3126...886.9.1..3.1269.....8..13......8.2...## 3# 7213 FNBP C33/M2.96.68 ## 9 1.3..67.9.57..9.3669....15.......3.776.93..15.3....96.....95671...2.1.......4....## 3# 7533 FNBP C33/M2.96.68 ## 9 12.......4571.9.....8....1...5.1439....97..5....3.5...5...4397.7..59.1.39..7.1.45## 3# 6689 FNBP C34/M2.116.56 ## 9 1.3..67.9.57..9.3669....15.......3.776.9...15.3....96.....95671.7.2.1.......47...## 3# 6691 FNBP C34/M2.116.56 ## 9 12.......4571.9.....8....1...5.1439....79..5....3.5...5...4397.7..9.1.459..57.1.3## 3# 6689 FNBP C34/M2.116.56 ## 9 ....5.7..4.7189......3.7...2.1.......48...1..97..1.42..94..187.7.2..8.4181...49.2## 4# 6499 FNBP C34/M2.108.60 ## 9 1.3.567...5718....68.3.75.....71385.......19..1....3.2...6.1....6..75....7183...5## 4# 6697 FNBP C34/M2.108.60 ## 9 1.3.567...5718....68.7.35.....31785.......19..1....3.2...6.1....6..75....7183...5## 4# 6697 FNBP C34/M2.108.60 ## 9 ...4..78.457...2.6......4.12.46.5....96.475..57.29.6..7.25.4.6..659.....94.......## 4# 6693 FNBP C34/M2.108.60 ## 9 ........2......34.135...6.7.17.8....36.51..785.8.......8136.7..65..781..7.31.5...## 2# 2220 FNBP C33/M1.2.50 ## 9 ........2......34.135...6.7.17.8....36.51..785.8.......8316.7..65..781..7.13.5...## 2# 2220 FNBP C33/M1.2.50 ## 9 12..567.9.57..9...6.9......2..5.1.7..15.67...7.692..5.562....17.....2......6.5328## 1# 1019 FNBP C35/M1.4.37 ## 8 .23.5....4.7....36.8........4..65.73....1.6.4.6....15...6.413.7...5.346...467..15## 1# ## 8

and here is the link to the 634 minimals, not bxb as my pc is waiting for a new fan.. !
BxB-Mastermins3

Website · by **denis_berthier** » Wed Nov 20, 2024 7:12 am

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Hi coloin
Thanks

coloin wrote: I'm still trying to work out what relevance invalid templates have to the 9 template state !

I don't really understand what it means.
.

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