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.
.

Website · by **denis_berthier** » Thu Dec 05, 2024 10:15 am

.
I've noticed something unexpected in T&E(2) puzzles with BxB ≥ 7. I've already mentioned that all these puzzles have a non-degenerate tridagon (except the old 3 B7B ones)

What I found is, between B7B and their BxB level, there's a gap: no elimination at the intermediate levels.

I don't know how general it is and in what proportion in can be explained by some inbreeding between all the puzzles with BxB ≥ 7 .
I tried only about 20 random T&E(2) puzzles with BxB≥7, some from the standard BxB examples of SHC, some from coloin's list of BxB>7. But 20 is enough to suggest this is not mere chance.

To make the same observation using the SHC, you need to see the resolution path and therefore to try the puzzles one by one. (That's why I tried only 20.)
.

by **hendrik_monard** » Thu Dec 19, 2024 11:16 am

Here is a batch of 196 new B7B+ puzzles representing the same number of new solutions. This brings the total number of different solutions in my B7B+ database to 799.
The 2 new B13B, related to each other with only 4 of the 29 clues different, are not related to the only other B13B (solution) known so far.

Code: Select all: ..34.6...4.718...6....7.....41.683.....7.4...7.631.8.........28.7.....95...84.1.. 13 ..34.6...4.718...6....7.....46.183.....7.4...7.136.8.........28.7.....95...84.1.. 13 1..4.678.4..18..366...731.4.9.......7.5......8..3.7......61...8...7.43.1....38.4. 10 1.3.5.78..57.8..3668....1.5.18....5.37....61.5.6.....373186.......9..........4... 10 ..34.6...4.7.89...68.73.....6894....3.4.679..97.3.84......7389.........5.......2. 10 ....56...45..8.......2......14....9.53....1.49.8...3..3.5.1.94..41.9.8.389..3..15 10 12..56....57.8...66.8..7...2.57..1...618.2....8..15.2........9.......3......218.7 10 1.3.56..9...1.9.366.973.51......719........57....156.3..4......8........97.563... 10 12..56..9.571.9..66.927...527.96.....1.7.....9.5..2.........8.7.....7.4.7.1.....2 10 .2345....45...9...6.93.25........8...36...........3.613.4.95.2.56.2.4.9..9263.... 10 .2.45.7.9.5.7.9.32....2354....3..9.5..5.9437....57..24..2...497..1......8........ 10 .23...7.945...9.327.9..354.2.....35.3.4....97.75.3.2.4..7.1........9.4.5..26..... 10 1....678....18..366..3.71.5.1..73.58...5..31....8.16.7.4.........2......8.1...573 10 .234..7.945.7...327.92..54.....1....53.9........5.8..334....92..75...3..9.2.....7 10 .234...8945....23.9.83..5.42.5...39.34....8.2.89....4.5.28........51..2......7... 10 .23.5..8945..8.23.9.8...5.423....8...49...3.58.5....42.94.2.......6.........974.. 10 ....5.......1.9236...7.....2.1..496.39....4.1.64..1.23.4....69...2....149.....3.2 10 ....5.......1.9236...7.....2.4..196.39....4.1.61..4.23.4....69...2....149.....3.2 10 12..56..9.571.9..66.927...1.......4.......8.7...7.2..55...91....6.52....9.26.7... 10 ....56..9.5.1.92.....32..5123.961....7.........4......3..51.6..5...931.2...6.2.35 10 1.3.....945.....36.69..34...4.....535...3.9.493....16....7.....614.95........2... 10 ...4.67....7..9.......2.....98....7151....9..7.6....5..75..819.86...15.79.1..5.68 10 ..3.567.9..71.9.36......51..31.75....49......8.5.........51.97.....93.6....6..... 10 1.34.6......18.......2.7...23.6..49..41...6.39.63...2139.......6.2...9...14.6.3.2 10 1.34.6......18.......2.7...23.6..49..14...6.39.63...2139.......6.2...9...41...3.2 10 12....78..571..2.66.82...1.2.1...5...65......78....16....6.3...8167.2......84.6.. 10 12.......4.71.9.....8....1...5.4139....97..5....3.5...5..79.14.7..5.49.39...13.75 10 12.......4.71.9.....8....1...5.4139....79..5....3.5...5..97.14.7..5.49.39...13.75 10 12.......4.71.9.....8....1...5.4139....79..5....5.3...5..97.14.7..3.49.59...15.73 10 12.......4.71.9.....8....1...5.4139....97..5....5.3...5..79.14.7..3.49.59...15.73 10 ...4.67..4..18.2.6....72....96.......48621...5.1...6.....81.4.2..42.7.61..2.6487. 10 12.......4.71.9.....8........5.4139....79..5....5.3...5..37.94.7..9.51.39...14.75 10 12.......4.71.9.....8........5.1439....79..5....5.3...5..37.94.7..9.51.39...41.75 10 1.3.5.78..57.8..3686....1.5.......7338...76.1.7....85....21.........4.......65318 10 ..3.567.9..71.9.36..637.15.2.1.....5.6971.....4......1...9.15.7...53........67..3 10 ....5..89...18.........3...2.5.4.96..94.6.8.286..2..45..2...5.4.4....69.9......28 10 12.....8..57...2.66......15...7..........356....64.12..1.2..85....8...7178.5..6.2 10 1...56....5718....68...3......6.5.41...8.19..........773.51...8....67..3.6.3.8..5 10 1..4.678.4..18..368...731.4.9.7.....3.....6.77.5..........41.73...3..8.1.....7.6. 10 1.3.5..8945.....3..89...4.5.91..........2.......6.1.9.51...8.43.38...9.19.4..385. 10 ..3.5.7.9...7.913...9.13.54.3.1.457.....359.1....7..433.....415.6.......8........ 10 .234.....45...9...6.9.2....235...46.........1.......7.3.2.956..54.26.9...963.4... 10 ....5.......1.9236...7.....2.1..469.39....4.1.64..1.23.4....96...2....149.....3.2 10 .234.....45...9...6.9.2....235...46.........1.......7.3.2.659..54.29.6...963.4... 10 ....5.......1.9236...7.....2.4..169.39....4.1.61..4.23.4....96...2....149.....3.2 10 1.3.56..9.571.9..369.37...1...6..8.7.......2.7.6.....5.7..6.....65.13...9.15..... 10 ...45.7.94..7.9.237...3254..6.......3.....95.5.1..........9437....27..95...3..4.2 10 ...45.7.94..7.9.237...3254..6.......3.....95.5.1..........7439....29...5...3..4.2 10 1.3...7.9.571...3696.3..15..35....9161......77.9..15......2....57691.........4... 10 ....5.......1.9236...7.....29....4.13.1..462..64..1.93.4....96...2....149.6...3.2 10 ....5.......1.9236...7.....29....4.13.4..162..61..4.93.4....96...2....149.6...3.2 10 .2..567.9.5.7.9.23.9.23.56..7....3.6.64......8...........9.36.2...5..97.....2..35 10 12..5.78..57...2.66.8.2..15.....3....76.........97..6.7.5..162.81.....5..62...8.1 10 1.3.56.8..5718..3.68.3.7....18.6....3.587....76.5.1..8571.....3......4..........2 10 .2345....45...9...6.93.2.........8...36...........3.613.2.95.4.56.2.4.9..9463..2. 10 ....5678..5.18..36.8.7.31.52..........5...361..4.........61.5.8...8...73..8.3761. 10 12..567...571.92..6.927.1..2.56.1....1679.....7...5.........6.3...96.5...6.....4. 10 1.3..67.9.57..9.3696...751..7.....5.6.5....91.91...3.7.1..4.......8.1........51.3 10 12.4...894.6...1.2.8.2..64..18..49.664.....289.....41....64.891....3.........7... 10 12..567...567.91..7.921.6..2.71.5...69...2....15.6........2.94.........39.2...5.. 10 1.3.56..9.571.9..669.37..........8..531...6.7.......2.31.7......75.9....9.6..1... 10 .2....78.4.....2.6..8....5428.7..46..746..5.86.58...27....1.......5.3......2...45 10 ...4.67....7..9.......2.....98....7151....9..7.6....5..71..859.86...51.79.5..1.68 10 1.3.56.8..5718..3.68.7.3.1..15...863.....5..2......95.3.1..8...56..71..8.78...... 10 1...567.9...1.9.369..37.15....7..5.1..19.5.63......97.31....69558.......6.45..... 10 12.......4.71.9.....8........5.1439....79..5....5.3...5..34.97.7..9.51.39...71.45 10 12.......4.71.9.....8........5.1439....97..5....5.3...5..34.97.7...91.459..7.51.3 10 ..3.567.9..71.9.36..937.15.2.1.....5.9671.....4..........6.15.7....97..3...53.... 10 1.3.5.78..57.8..6386..7.1.5....643.....2......8671....61....83.7.8...5...35...... 10 .2345...945.7.9...7.9.23..4...5.7.........6....7....1537.2.4.....293.....94.752.. 10 12..5.78..57...2.66.8.2..15.....3....76.........97..6.7.2..165.81.....2..65...1.8 10 12...6.89.5....26.6.9...1.52.1...9.8.659...1289.2..65.......8.1.1.84.........7... 10 1.3.5..8945.....3..89...4.5.91..........2.......6.1.9.53...8.41.18...9.39.4..385. 10 12...6.894.6..91.2.89...64.....7........9.21...83.....6.....4.18.2....96.41.6.82. 10 1.3.56....5.1.....68.2.3...21.56.8..3.8.216...653.81......32.........3.4.3.....7. 10 1.34...8945....13...91..5.4..5....4883...495.9.4...3.1....6.........7.......4.893 10 .....6......78.....89.3.....94...31.31......58.5...9.45.1.4..93.38.1.45.94....8.1 10 ......7.9.......3..89.....62.1.68..4.649.2..189.14.....186.4...64..2....9.281.... 10 ......7.9.......3..89.....62.4.68..1.619.2..489.14.....186.4...64..2....9.281.... 10 .234.6.8.4.678..2.78..23.6.2.8.7....34.86.....673.2....34..........3.94.........5 10 ...4.6.89..6.891.2..921.64.....9.8.1....4296.9..8.1.245........6.....218.3....... 10 1.3..67.9.57..9.3669...315....8.7.......4............53......1..61....9797....5.3 10 1.3..67.9.57..9.3696...315....8.7.......4............53......1..91....6767....5.3 10 .2.45..89.5..8923..9.2.35.4.36............4..7............9...8...32.94....5.83.2 10 .2345...945...9...8.92.3..4238....4........1.......6..3.45.....58..324...928.4... 10 12.4.6...4.6.89....892...4.2.196...8.68..2...94.1.8...........3612....9.......5.. 10 1.3.56.....678..3.78.1.3......561.7.......4..........2.176.58..6..81....8.5.37... 10 1.3.56.....678..3.78.1.3......561.7.......4..........2.156.78..6..81....8.7.35... 10 1...567...5718....68.3.71.....86357.........2.......9.37.5.1...5.863...7.6..78... 10 ..3.5678...718..36...3.71..24.......39.....1.7.853........7..6..7.6........81.57. 9 ...45..8.4.......6......14.2.8.75.9..4592..7.79.8.4.2..74.98...8....7.....25..... 9 12..56....57.8...66.8..7..........9.......3......218.7.618.2...5.27..1..8...15.2. 9 12..567.9.57...26.6.9.72..5.....8...5619.7.......3.......7..19.71....5.6.9.....27 9 ...45..8.4.......6......14.2....8....98.74...7.452.....7589..2.84.2.7.9.9.2.45.7. 9 1.3.56....571....668...7..1......9.........2.738....653.587.6..81.6.5....76..3... 9 ..3.567.9..71.9.36..6...15.2.....5...4....9.7..1.9.......51.67.....63.9....9.73.5 9 ...4.678.4...8.2.668..72.54....485.....76.4.2..42.5..83.........1........45...627 9 12..56....57..9...6.9.7....2.57.169..6192....9...651.....512..7......3.........4. 9 ..345..89....8923...92.34.5.6.........4....287.8..2......92..43.....459.....358.2 9 ..345..89....8923...92.34.5.6.........4....287.8..2......93..42.....459.....258.. 9 ...4.678......9.3....7....428.........5.....8.4..98....7..6389..6.9.7.43.3.84.6.7 9 12..5.78..57.8.2.6..8....1527.8...61.81...5.2..6...87.....18627.....4......3..... 9 1.3.5.....57....3669..7.51..697....353....97.7.1....6....8..........4...916.37... 9 ....5..8.4.......6......1..2.857.....94.28...7....4....7524..9.8.2.95.7.94.8.7.2. 9 ...45..8.4.......6......14.2..8......78.94...9.452.....9524..7.74.9.8.2.8.2.75.9. 9 ...45..8.4.......6......14.29.8.4.7..4597..2.7.8.25.9..74.98...8....7.....25..... 9 .2345.7..45.7.9...7.9.325..23...4....4537....9.72.....392...45........1.........6 9 .234.6...4.678...278..23..623..68....783.....6.4..7.........9..847...2.3.......1. 9 12..56....57.8...66.8..7...2.57..1...618.2....8..15.2.....218.7......39.......... 9 12..56....57.8...66.8..7.........3.........9.....218.7.618.2...5.27..1...8..15.2. 9 12....78..5.1..2.66......1527...86..8.6...1.7..5.7..28.....4.......9....78.56.... 9 .....6...4.718....6...27...27.6.1..4..4.78..28.124.......714.287.....3.1.......57 9 .....6...4.718....6...27...27.6.8..4..4.71..28.124...........977.....3.1...714.28 9 ..3.567....71.9.36......15.2.6......3.5671....81....6....9.........63.9....51.67. 9 .....6...4.718....6...27...27.6.8..4..1.74..28.421...........977.....3.1...741.28 9 12..56....5718...66..2.7..5.7.....91......3.7...7615.2.8.6.5...76..12......87.... 9 1...56....5718...668.3.7..5.1....59.......42....53.6.836.81.....7.6.........7..6. 9 1.3.567...5718....68...71..........4365...8.1.......2.51..3....7.6.18....386.5.1. 9 12.4.6.8.4.6.89.2..9821..6.2.48......61.24...9..6.1....19....4.......3.....1...95 9 12....7.9.5.1..26.6......5127..9...5..6..7.929.5...17.....4.........8...79.6.5... 9 ...45..8.4.......6......14.2.45......98.24...7....8....7589..2.84.2.7.9.9.2.45.7. 9 1.3..6....571.9...69.3...1...19.3..773..15...9.576.1.3........4......8.....597.6. 9 .23.5.......1..2......27...24.....56..5...9...39...42.36..4.59.5.4.9.6.2.92.6..34 9 ....5..8.4.......6......1..2.8.95.7..7524..9.94.8.7.2..94.28...7....4...8.257.... 9 .23.5.78.45..8..237.8...5.4234.78......9..........1...3.2.....754....3...87...25. 9 12..56..9.567.9..27.921....21.5.....6.5.7.....976.2.........8..561....97.......4. 9 12....7.9.5.1..26.6......5127..9.5....6..7.929.5...17.....4.........8...79.6.5... 9 .2.45..89.5..8923..8.3.24.5.31.....47.........9..4.......9.5..2...82.94.....34.58 9 12....78..5.1..2.66......1527...85..8.6...1.7..5.7..28.....4.......9....78.56.... 9 1.3.56.8..5718....68.3.7.5....6.351.......9..........23..8.1....6173.8..87..65... 9 ....567.9.5.1.9.36.9.73.15.26..7......8.......1.....67...5.7.91....9367.....1.3.5 9 1.3.56.8..5718....68.3.7.5....6.381.......9..........23..5.1...57..68....6173.5.. 9 1...5678....18..366..3.71.5....3..57...5..81....7.16.336....578..2.......4....... 9 .2.4.6.8.4.6.89....8921..4.29..614...6482......19.4...........7...192.64......3.. 9 1.3.56....5718....68.3.71.........9.........2768...5.35.687...183.6.1....71..5... 9 ...45..8.4.......6......14.2.4.75.9..9582..7.87.9.4.2..48.97.....25.....9....8... 9 .234....945...9...6.9.32...24.....6.3.5.64.9..962.5...534...92.......8..........7 9 12.4.6...4.6.891....921.6..2.1.68....489.2..19..14...........5....89421.........7 9 12..567...571.92..6.972.1..2.56.1....7.29.....1...5.........6.3...96.5...6.....4. 9 .23....894.....2.38.9....1.2.8..4.3139...28.4.41..892......319....6.........71... 9 1....67.9.57..9...69...35...6....39.......6.773..6..51...8.1......6951.3....4.... 9 1..4..78.4.71....6..82...142.6814......6.5.......9.....12....4.68..4..277.4...... 9 .2.45..89.5..8912..8.1.25.4.4....9..61..9......7.........5.8.9.....4.2.8...92..51 9 .2.45..89.5..8912..8.1.25.4.4....9..61..9......7.........9.8.5.....4.2.8...52..91 9 1.34.6....5.1......68.3........1.5.7.......2...1...3..6.5.418...345.86..81.36.4.. 9 ....56.89...1.9..6....2.51...596.8.1..15.862...6.12.95..2...9..7.8.9.....3....... 9 ...4.6.....7.89.36...37..4...1......37..98...8.5....6....9.76.87...6439.9..83..74 9 ...4.6.....7.89.36...37..4...1......37..98...8.5....6....9.76.87..83..949...6437. 9 ...4.6.....7.89.63...37...4..1......37..98...9.5.....6...8.769.7...643.88..93..47 9 .23.....94.7..9.3669..........8.1..47.4.62.......4....34..7.9.2.72...36.9.6.2..47 9 .234..7.945.7...327.92..54.2.....4.3......92.93...2.573..518...5..3.........24375 8 ...45........89.....92.7.4.2..7.589.5..92.4.79...48.25.95872...71.......86.....7. 8 12..56.89.5....2.6......15.....4.......2.859..1.93.....82...61.5.1...9.896.8...25 8 1.3...789.......23....3..45.15.97..83.981...778.5.3...5.1....7..78......93..758.. 8 123...7.9.56..9....89......2..6.739........27.7....6.1...96.27...72.3.16..2.719.3 8 ..3.5678...718..36...7.35.12.........78.31...9.1....5.3...18.757..6.5......37..6. 8 .234..7.945.7...327.92..54.2.....4.3......92.93...2.573..5.....5..318.......24375 8 .234..7.945.7...327.92..54.2.....4.3......92.93...2.753..518...5..3.........24357 8 ...45........89.....92.7.4.2...48.955..92.4.79..7.582..95872...71.......86.....7. 8 1...5678....18..366..3.71.5.1..7..58...5..31......16.7.42...............86....573 8 1.3..67.9.57..9.3669....15........737.....96.93.7..5.13....5...5.924.......6.1.95 8 1.34.6.......8........235...14...9..63.94.1.59.5.1....3.1..469.56....4.1.49..1.53 8 1.3.5.7.9.57....3669..7.15..657.1.93..1...57....5..6.1..629........379.5...8..... 8 .234..7.945.7...327.92..54.2.....4.3......92.93...2.753..5.....5..318.......24357 8 1.3.....945.....3..89...4...18..4.533.4..89.159...384....6.1.9....7.....9.1..5... 8 1.3.....945.....3..89...4...14..8.533.8..49.159...384....6.1.9....7.....9.1..5... 8 .23.5.78.45..8..237.8...5.4237.48......9.1............3.4..5..257....3...82....5. 8 1.....7.9...18923.......4.12.189...3.952.3..883..15..23...2....51.93.82....5..3.. 7 12..5.78..57.8.2.66.8....15...9.3......8...72..1.......6....5.77.25...61.15...82. 7 .23.5....45...9...6.92.....2.6...4..........7.....26.134..259...659.43..9.263.5.. 7 ...4...89....8923......31.4..9.....16.13.....7..........29.481...482..93..8.314.2 7 1......89...18..3.........42.63.1.7..8167..2.73..28.6.3..7.2....7.81.....12.63... 7 ...4.678.....89.3....73...4.6.9.7.43.7..6389..3.84.6.7.95.....8.4..98.....2...... 7 1.3.56....57.8...668...7....167.3...53.8...1.7...153.................92.....31.78 7 1.3.5....45.1.9....983...1..4591.3..3.98.4...81..354........97.....9.82.98....... 7 .....678.4.....23...........1.86......4.158..58.7.4...7.15.8...86..41..7.4567...8 7 1...56....5.18...668.3.7.....1.38.7.3.567....87.5..3...........73.....51......42. 7 ......7.9...189.3.......4.123..15..8.958.3...8..29...33...2....51.93.82....5..3.. 7 ...4...89....8923......31.4..9.....16.13.....7..........29.481...483..92..8.214.3 7 1......89...18..3.........423..78.6..8162..7.7.63.1.2.3..7.2....7.81.....12.63... 7 ...4.678.....89.3....73...4.6.9.3.47.3..6789..7.84.6.3.95.....8.4..98.....2...... 7 1...56....5.18...668.7.3.....5.38.7.3.167....87...13...........73.....15......42. 7 12..56....57.8...66.8..7...2.5.7.1...618.2....8..15.2.......39..............218.7 7 ......7.9...18923.......4.12.589...3.9.2.3..883..15..23...2....51.93.82....5..3.. 7 .23...7.945...923.7.9..3.452.4...39..75.9.4.29......57..2..........3.5.4...61.... 7 .23.5..8945..8.23.8.9...5.428.....4..35...89.9.4..83.23.2..5......7.1.........9.. 7 1..45.7.94..7.913.....13.54....719.....94..73..73.5.1.3.2......5.8...3.....53.... 7 ......7.9...18923.......4.123..15..8.9.8.3..28.529...33...2....51.93.82....5..3.. 7 1.3.56.8..5718..3.68.3.7....18.7....3.586....76.5.1..8571.....3......4.2......... 7 1..4.678.4..18..638...371.4...64..17...8.34.6....718..3.5...6....2.........36.... 7 .2.45.7.9.5.7.9.32....2354....5..9.4..5.9437....37..25..2...497.........8.1...... 7 1.3...78..57...2.3.8.....51...6......3.9.2.........32.37...15.85.2..713..18..5.72 7 12..56.8..5718....6.87.2.1.27.56...88..2.1.....6.78......627.51...............9.3 7 .234.6...4.678...378..32..4...............95....6784.23..84......7.63...86.2.73.. 7 1.3.567...5718.3..68.3.7.....1.75......8.1...8.563...7........2..8...6.4...76.53. 7 .23.....94.7..9.3669..........8.1..77.4.62.......4....34..7.9.2.72...36.9.6.2..74 7

I have collected the solutions of all B7B+ puzzles posted so far in a chronologically arranged reference list (including the puzzles above). If it turns out that solutions of previously posted puzzles are missing or that some information is incorrect, I will gladly add them or adjust the information.
These are the first 10 lines of that list:

Code: Select all: 123456789457189236689723415236514978578962341914378562362897154795641823841235697 7 121203 ........1.....2.3...4.5.6...3.....72.4....8..6..8..9...7...1...4.56.....8..59.... dob 123456789457189236689732145238961574541327968976845312365214897714598623892673451 7 150800 5.6...7...1.3.....8...5.9.....1...2.....8.6.7.....2.4.7...9...6.3...42....5...... OW 123456789457189236689327415298543671314768952765291843532674198841932567976815324 7 201000 5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 tax;m_b_metcalf 123456789456789132789132564297618453634275891815943276341897625572364918968521347 9 220223 987......6..8.......5......4..38.21....2.4..8....163...6..32.41...4..83....1..6.2 monh 123456789456789231789132546294517368531628974678943152347891625812365497965274813 9 220223 987......6.........5.......4..73.21....2.64.3....14..7..63.1.24....4.37.....276.1 monh 123456789457189236689372451246798513718235964935641872392517648564823197871964325 7 220301 ........1.......2......3..4..2.35....567.82..73.62.8...27.6.....8.....5.3.5.87.6. mith 123456789457189236698273415276548193315792864849361572532617948784935621961824357 7 220302 ........1.......2......3..4..2.35....3672.8..75.6.82...8.....5.3...86.7.62.57.... mith 123456789457189236689723154216895347745631892938274615374568921592317468861942573 9 220515 98.76.5..7.48......56......56..8..4.4.89.6....7945......7..........9...3....7.2.1 monh 123456789457189236698732145279643518345218697861597423582974361734861952916325874 8 220515 98.76.5..7.5.946....48.....6..9.7....7..8..6..49.56.......48.........83.......42. monh 123456789457189236698732145279643518345218697816597423582974361734861952961325874 8 220515 98.76.5..7.58.49...64..5...6...8..9.5.9.47....789.....4.6............63.......42. monh

The exact publication date in the first three lines may need to be adjusted.
The link to the B7B+ solutions reference database:
https://drive.google.com/file/d/1g--zMjhBqTg-4tpWrRHdD_G4PyGsJeSg/view?usp=sharing
The fields separated by T(ABs) are as follows: solution T x (in BxB) T publication date of first puzzle with this solution T first published puzzle (minimal or not) T credits

Website · by **denis_berthier** » Thu Dec 19, 2024 4:55 pm

.
Hi Hendrik

The two B13Bs are "quasi-isomorphic". it appears clearly in grid from:

Code: Select all: +-------+-------+-------+ ! . . 3 ! 4 . 6 ! . . . ! ! 4 . 7 ! 1 8 . ! . . 6 ! ! . . . ! . 7 . ! . . . ! +-------+-------+-------+ ! . 4 1 ! . 6 8 ! 3 . . ! ! . . . ! 7 . 4 ! . . . ! ! 7 . 6 ! 3 1 . ! 8 . . ! +-------+-------+-------+ ! . . . ! . . . ! . 2 8 ! ! . 7 . ! . . . ! . 9 5 ! ! . . . ! 8 4 . ! 1 . . ! +-------+-------+-------+ +-------+-------+-------+ ! . . 3 ! 4 . 6 ! . . . ! ! 4 . 7 ! 1 8 . ! . . 6 ! ! . . . ! . 7 . ! . . . ! +-------+-------+-------+ ! . 4 6 ! . 1 8 ! 3 . . ! ! . . . ! 7 . 4 ! . . . ! ! 7 . 1 ! 3 6 . ! 8 . . ! +-------+-------+-------+ ! . . . ! . . . ! . 2 8 ! ! . 7 . ! . . . ! . 9 5 ! ! . . . ! 8 4 . ! 1 . . ! +-------+-------+-------+

Numbers 1 and 6 in blocks b4 and b5 are isolated from the rest of the puzzle and can be interchanged to pass from one puzzle to the next.

In particular, the tridagon is independent of this UR2.

Code: Select all: Trid-OR5-relation for digits 2, 5 and 9 in blocks: b1, with cells (marked #): r1c1, r2c2, r3c3 b2, with cells (marked #): r1c5, r2c6, r3c4 b4, with cells (marked #): r4c1, r6c2, r5c3 b5, with cells (marked #): r4c4, r6c6, r5c5 with 5 guardians (in cells marked @): n1r1c1 n8r1c1 n3r2c6 n8r3c3 n8r5c3 +-------------------------+-------------------------+-------------------------+ ! 12589#@ 12589 3 ! 4 259# 6 ! 2579 1578 1279 ! ! 4 259# 7 ! 1 8 2359#@ ! 259 35 6 ! ! 125689 125689 2589#@ ! 259# 7 2359 ! 259 13458 12349 ! +-------------------------+-------------------------+-------------------------+ ! 259# 4 1 ! 259# 6 8 ! 3 57 279 ! ! 23589 23589 2589#@ ! 7 259# 4 ! 2569 156 129 ! ! 7 259# 6 ! 3 1 259# ! 8 45 249 ! +-------------------------+-------------------------+-------------------------+ ! 13569 13569 459 ! 569 359 1579 ! 467 2 8 ! ! 12368 7 248 ! 26 23 12 ! 46 9 5 ! ! 2569 2569 259 ! 8 4 2579 ! 1 367 37 ! +-------------------------+-------------------------+-------------------------+

.

Website · by **denis_berthier** » Thu Dec 19, 2024 5:04 pm

.
After the tridagon, the solution is typical of T&E(3) or T&E(2) puzzles with BxB > 7.

biv-chain[3]: r2c8{n3 n5} - r6c8{n5 n4} - b3n4{r3c8 r3c9} ==> r3c9≠3
hidden-single-in-a-column ==> r9c9=3
biv-chain[3]: r5n6{c7 c8} - r9c8{n6 n7} - r4c8{n7 n5} ==> r5c7≠5
whip[1]: b6n5{r6c8 .} ==> r1c8≠5, r2c8≠5, r3c8≠5
singles ==> r2c8=3, r3c6=3

At least one candidate of a previous Trid-OR5-relation between candidates n1r1c1 n8r1c1 n3r2c6 n8r3c3 n8r5c3 has just been eliminated.
There remains a Trid-OR4-relation between candidates: n1r1c1 n8r1c1 n8r3c3 n8r5c3

whip[4]: r9n5{c3 c6} - r6n5{c6 c8} - r4c8{n5 n7} - r9n7{c8 .} ==> r7c2≠5
Trid-OR4-whip[4]: c2n8{r3 r5} - OR4{{n8r5c3 n8r1c1 n8r3c3 | n1r1c1}} - b7n1{r7c1 r7c2} - c2n3{r7 .} ==> r3c1≠8
whip[5]: r3n4{c9 c8} - c8n8{r3 r1} - c8n1{r1 r5} - r5n6{c8 c7} - c7n9{r5 .} ==> r3c9≠9
whip[5]: r3n4{c9 c8} - c8n8{r3 r1} - c8n1{r1 r5} - r5n6{c8 c7} - c7n2{r5 .} ==> r3c9≠2
whip[6]: r9n5{c3 c6} - r9n7{c6 c8} - r4c8{n7 n5} - r6n5{c8 c2} - c3n5{r5 r3} - c4n5{r3 .} ==> r7c1≠5
Trid-OR4-whip[8]: r9n9{c3 c6} - c6n7{r9 r7} - r7n1{c6 c1} - b7n3{r7c1 r8c1} - r8n8{c1 c3} - OR4{{n8r5c3 n1r1c1 n8r3c3 | n8r1c1}} - r5n8{c1 c2} - r5n3{c2 .} ==> r7c2≠9
Trid-OR4-whip[11]: r8n1{c6 c1} - r8n8{c1 c3} - OR4{{n8r5c3 n1r1c1 n8r3c3 | n8r1c1}} - c8n8{r1 r3} - b3n4{r3c8 r3c9} - r3n1{c9 c2} - c2n8{r3 r5} - c2n3{r5 r7} - c2n6{r7 r9} - r9c8{n6 n7} - c6n7{r9 .} ==> r7c6≠1
hidden-single-in-a-block ==> r8c6=1
Trid-OR4-whip[6]: b7n1{r7c2 r7c1} - b7n3{r7c1 r8c1} - r8n8{c1 c3} - OR4{{n8r5c3 n1r1c1 n8r3c3 | n8r1c1}} - r5n8{c1 c2} - r5n3{c2 .} ==> r7c2≠6
whip[9]: c8n8{r3 r1} - c8n1{r1 r5} - c8n6{r5 r9} - c2n6{r9 r3} - c2n8{r3 r5} - c2n3{r5 r7} - r7n1{c2 c1} - c1n6{r7 r8} - c1n8{r8 .} ==> r3c8≠4
singles ==> r3c9=4, r6c8=4
Trid-OR4-whip[9]: b7n1{r7c1 r7c2} - c2n3{r7 r5} - c1n3{r5 r8} - r8n8{c1 c3} - r5n8{c3 c1} - OR4{{n8r5c3 n8r1c1 n8r3c3 | n1r1c1}} - b3n1{r1c8 r3c8} - r3n8{c8 c2} - r3n6{c2 .} ==> r7c1≠6
Trid-OR4-ctr-whip[9]: c2n6{r9 r3} - c1n6{r3 r8} - r8n8{c1 c3} - r3n8{c3 c8} - r3n1{c8 c1} - r7n1{c1 c2} - c2n3{r7 r5} - c2n8{r5 r1} - OR4{{n1r1c1 n8r1c1 n8r3c3 n8r5c3 | .}} ==> r9c8≠6
singles ==> r9c8=7, r4c8=5, r4c9=7, r1c7=7, r7c6=7, r5c8=6, r5c9=1, r8c1≠6
whip[5]: r5c7{n9 n2} - b3n2{r2c7 r1c9} - c5n2{r1 r8} - r8n3{c5 c1} - r5n3{c1 .} ==> r5c2≠9
whip[5]: r1c9{n2 n9} - r1c5{n9 n5} - b5n5{r5c5 r6c6} - r6n9{c6 c2} - r4c1{n9 .} ==> r1c1≠2
whip[5]: r1c9{n9 n2} - r1c5{n2 n5} - b5n5{r5c5 r6c6} - r6n2{c6 c2} - r4c1{n2 .} ==> r1c1≠9
whip[6]: r5c7{n9 n2} - b3n2{r2c7 r1c9} - c5n2{r1 r8} - c5n3{r8 r7} - r7c1{n3 n1} - r7c2{n1 .} ==> r5c1≠9
whip[6]: r4n2{c1 c4} - r8n2{c4 c5} - r8n3{c5 c1} - r7c2{n3 n1} - r7c1{n1 n9} - r4c1{n9 .} ==> r9c1≠2
whip[7]: r3n6{c1 c2} - r3n1{c2 c8} - c8n8{r3 r1} - c2n8{r1 r5} - c2n3{r5 r7} - r7n1{c2 c1} - r1c1{n1 .} ==> r3c1≠5
whip[7]: r3n6{c2 c1} - r3n1{c1 c8} - c8n8{r3 r1} - c2n8{r1 r5} - c2n3{r5 r7} - r7n1{c2 c1} - r1c1{n1 .} ==> r3c2≠5
whip[7]: r7n4{c3 c7} - r7n6{c7 c4} - c4n5{r7 r3} - c4n9{r3 r4} - c5n9{r5 r1} - c9n9{r1 r6} - b4n9{r6c2 .} ==> r7c3≠9
whip[6]: r4n9{c4 c1} - r6n9{c2 c9} - c9n2{r6 r1} - r1c5{n2 n5} - c4n5{r3 r7} - r7n9{c4 .} ==> r5c5≠9
biv-chain[3]: r4n2{c1 c4} - r5c5{n2 n5} - r6n5{c6 c2} ==> r6c2≠2
biv-chain[3]: c5n9{r7 r1} - c9n9{r1 r6} - b5n9{r6c6 r4c4} ==> r7c4≠9
naked-triplets-in-a-row: r7{c3 c4 c7}{n4 n5 n6} ==> r7c5≠5
biv-chain[2]: r6n5{c2 c6} - c5n5{r5 r1} ==> r1c2≠5
whip[4]: r1c9{n9 n2} - r1c5{n2 n5} - b5n5{r5c5 r6c6} - r6c2{n5 .} ==> r1c2≠9
whip[4]: r5c7{n9 n2} - r6n2{c9 c6} - r2n2{c6 c2} - b1n9{r2c2 .} ==> r3c7≠9
whip[4]: b8n9{r9c6 r7c5} - r1n9{c5 c9} - r6n9{c9 c6} - r2n9{c6 .} ==> r9c2≠9
whip[5]: b8n5{r7c4 r9c6} - b8n9{r9c6 r7c5} - r1c5{n9 n2} - c9n2{r1 r6} - c6n2{r6 .} ==> r3c4≠5
singles ==> r7c4=5, r7c3=4, r7c7=6, r8c7=4, r8c4=6
biv-chain[3]: b8n2{r9c6 r8c5} - r5c5{n2 n5} - b2n5{r1c5 r2c6} ==> r2c6≠2
biv-chain[3]: b3n5{r3c7 r2c7} - r2c6{n5 n9} - r3c4{n9 n2} ==> r3c7≠2
naked-single ==> r3c7=5
x-wing-in-rows: n5{r2 r6}{c2 c6} ==> r9c2≠5, r5c2≠5
biv-chain[3]: c3n5{r9 r5} - r6n5{c2 c6} - c6n2{r6 r9} ==> r9c3≠2
finned-swordfish-in-rows: n2{r9 r2 r6}{c6 c2 c7} ==> r5c7≠2
singles ==> r5c7=9, r2c7=2, r1c9=9, r6c9=2, r9c6=2, r8c5=3, r7c5=9, r9c2=6, r3c1=6
naked-pairs-in-a-column: c2{r2 r6}{n5 n9} ==> r3c2≠9
biv-chain[3]: r6c2{n5 n9} - c1n9{r4 r9} - b7n5{r9c1 r9c3} ==> r5c3≠5
stte

by **coloin** » Fri Dec 20, 2024 3:27 am

That is quite a fine list of puzzles... well found !

The two puzzles which have differ by a UA are twin puzzles

There are more twin puzzles associated with many of your puzzles on the list too.
Some of the puzzles are fully expanded, but many are not [wrt BxB]
When these are expanded there will probably be more twin puzzles... and potentially new higher rated minimals.
The twin puzzles have the same number of associated twin puzzles and share the last half of the Q2 rating.
The twin puzzles have the same PM grid so solve essentially similarly.

I will process these / group the twins together overnight but do note that SE rates a few of the puzzles as 11.9 ! [fanfare !]

Code: Select all: .234.....45...9...6.9.2....235...46.........1.......7.3.2.956..54.26.9...963.4...#10# 95130 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # .23.5....45...9...6.92.....2.6...4..........7.....26.134..259...659.43..9.263.5..# 7# 98133 FNBP C31/M2.18.1092 #3 #ED=11.9/11.9/2.6 #

Code: Select all: puzzle..........................................................................#BxB# Q2 #Twins #SE # ..34.6...4.718...6....7.....41.683.....7.4...7.631.8.........28.7.....95...84.1..#13# 5872 FNBP C29/M2.59.111 #2 #ED=11.7/7.1/2.6 # ..34.6...4.718...6....7.....46.183.....7.4...7.136.8.........28.7.....95...84.1..#13# 5872 FNBP C29/M2.59.111 #2 #ED=11.7/7.1/2.6 # 1..4.678.4..18..366...731.4.9.......7.5......8..3.7......61...8...7.43.1....38.4.#10# 3123 FNBP C31/M2.34.192 #5 #ED=11.6/9.4/2.6 # 1.3.5.78..57.8..3668....1.5.18....5.37....61.5.6.....373186.......9..........4...#10# 3123 FNBP C31/M2.34.192 #5 #ED=11.6/9.4/2.6 # ..34.6...4.7.89...68.73.....6894....3.4.679..97.3.84......7389.........5.......2.#10# 29507 FNBP C31/M2.58.113 #1 #ED=11.6/11.0/3.4 # ....56...45..8.......2......14....9.53....1.49.8...3..3.5.1.94..41.9.8.389..3..15#10# 1487 FNBP C31/M2.58.113 #3 #ED=11.6/9.3/2.6 # 12..56....57.8...66.8..7...2.57..1...618.2....8..15.2........9.......3......218.7#10# 97502 FNBP C29/M2.14.468 #1 #ED=11.6/7.1/2.6 # 1.3.56..9...1.9.366.973.51......719........57....156.3..4......8........97.563...#10# 1886 FNBP C31/M1.1.52 #2 #ED=11.6/2.6/2.6 # 12..56..9.571.9..66.927...527.96.....1.7.....9.5..2.........8.7.....7.4.7.1.....2#10# 2160 FNBP C31/M2.28.234 #2 #ED=11.7/2.0/2.0 # .2345....45...9...6.93.25........8...36...........3.613.4.95.2.56.2.4.9..9263....#10# 95221 FNBP C32/M2.37.177 #3 #ED=11.6/11.2/9.7 # .2.45.7.9.5.7.9.32....2354....3..9.5..5.9437....57..24..2...497..1......8........#10# 65062 FNBP C32/M2.56.117 #7 #ED=11.6/11.6/2.6 # .23...7.945...9.327.9..354.2.....35.3.4....97.75.3.2.4..7.1........9.4.5..26.....#10# 95315 FNBP C33/M2.37.177 #3 #ED=11.6/11.6/9.7 # 1....678....18..366..3.71.5.1..73.58...5..31....8.16.7.4.........2......8.1...573#10# 29577 FNBP C32/M2.85.77 #4 #ED=11.7/2.0/2.0 # .234..7.945.7...327.92..54.....1....53.9........5.8..334....92..75...3..9.2.....7#10# 1530 FNBP C32/M2.74.88 #2 #ED=11.6/2.0/2.0 # .234...8945....23.9.83..5.42.5...39.34....8.2.89....4.5.28........51..2......7...#10# 990 FNBP C32/M2.38.172 #2 #ED=11.7/11.7/3.4 # .23.5..8945..8.23.9.8...5.423....8...49...3.58.5....42.94.2.......6.........974..#10# 1013 FNBP C32/M2.38.172 #2 #ED=11.7/11.7/3.4 # ....5.......1.9236...7.....2.1..496.39....4.1.64..1.23.4....69...2....149.....3.2#10# 95126 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # ....5.......1.9236...7.....2.4..196.39....4.1.61..4.23.4....69...2....149.....3.2#10# 95126 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # 12..56..9.571.9..66.927...1.......4.......8.7...7.2..55...91....6.52....9.26.7...#10# 3123 FNBP C31/M2.34.192 #5 #ED=11.6/9.4/2.6 # ....56..9.5.1.92.....32..5123.961....7.........4......3..51.6..5...931.2...6.2.35#10# 1493 FNBP C31/M2.36.182 #2 #ED=11.7/2.0/2.0 # 1.3.....945.....36.69..34...4.....535...3.9.493....16....7.....614.95........2...#10# 378 FNBP C29/M1.1.79 #1 #ED=11.6/2.0/2.0 # ...4.67....7..9.......2.....98....7151....9..7.6....5..75..819.86...15.79.1..5.68#10# 1767 FNBP C31/M2.51.128 #2 #ED=11.7/2.0/2.0 # ..3.567.9..71.9.36......51..31.75....49......8.5.........51.97.....93.6....6.....#10# 10743 FNBP C28.m/M2.15.874#2 #ED=11.7/5.0/5.0 # 1.34.6......18.......2.7...23.6..49..41...6.39.63...2139.......6.2...9...14.6.3.2#10# 8107 FNBP C32/M2.33.198 #15#ED=11.7/10.5/3.6 # 1.34.6......18.......2.7...23.6..49..14...6.39.63...2139.......6.2...9...41...3.2#10# 8602 FNBP C31/M2.27.243 #15#ED=11.7/5.0/5.0 # 12....78..571..2.66.82...1.2.1...5...65......78....16....6.3...8167.2......84.6..#10# 71903 FNBP C32/M2.9.1458 #3 #ED=11.7/5.0/2.6 # 12.......4.71.9.....8....1...5.4139....97..5....3.5...5..79.14.7..5.49.39...13.75#10# 4810 FNBP C33/M2.97.67 #5 #ED=11.7/11.7/2.6 # 12.......4.71.9.....8....1...5.4139....79..5....3.5...5..97.14.7..5.49.39...13.75#10# 4810 FNBP C33/M2.97.67 #5 #ED=11.7/11.7/2.6 # 12.......4.71.9.....8....1...5.4139....79..5....5.3...5..97.14.7..3.49.59...15.73#10# 4810 FNBP C33/M2.97.67 #5 #ED=11.7/11.7/2.6 # 12.......4.71.9.....8....1...5.4139....97..5....5.3...5..79.14.7..3.49.59...15.73#10# 4810 FNBP C33/M2.97.67 #5 #ED=11.7/11.7/2.6 # ...4.67..4..18.2.6....72....96.......48621...5.1...6.....81.4.2..42.7.61..2.6487.#10# 734 FNBP C34/M2.91.72 #18#ED=11.7/11.7/2.6 # 12.......4.71.9.....8........5.4139....79..5....5.3...5..37.94.7..9.51.39...14.75#10# 1867 FNBP C32/M2.75.87 #4 #ED=11.7/9.6/2.6 # 12.......4.71.9.....8........5.1439....79..5....5.3...5..37.94.7..9.51.39...41.75#10# 1867 FNBP C32/M2.75.87 #4 #ED=11.7/9.6/2.6 # 1.3.5.78..57.8..3686....1.5.......7338...76.1.7....85....21.........4.......65318#10# 7390 FNBP C32/M2.90.72 #4 #ED=11.7/9.2/2.6 # ..3.567.9..71.9.36..637.15.2.1.....5.6971.....4......1...9.15.7...53........67..3#10# 7787 FNBP C33/M2.94.69 #4 #ED=11.7/11.7/2.6 # ....5..89...18.........3...2.5.4.96..94.6.8.286..2..45..2...5.4.4....69.9......28#10# 95275 FNBP C30/M2.37.177 #2 #ED=11.6/10.7/2.6 # 12.....8..57...2.66......15...7..........356....64.12..1.2..85....8...7178.5..6.2#10# 2840 FNBP C30/M1.1.49 #2 #ED=11.6/2.6/2.6 # 1...56....5718....68...3......6.5.41...8.19..........773.51...8....67..3.6.3.8..5#10# 2565 FNBP C30/M1.1.49 #1 #ED=11.6/2.6/2.6 # 1..4.678.4..18..368...731.4.9.7.....3.....6.77.5..........41.73...3..8.1.....7.6.#10# 2155 FNBP C31/M2.28.234 #2 #ED=11.7/2.0/2.0 # 1.3.5..8945.....3..89...4.5.91..........2.......6.1.9.51...8.43.38...9.19.4..385.#10# 95400 FNBP C32/M2.33.198 #6 #ED=11.6/11.1/9.5 # ..3.5.7.9...7.913...9.13.54.3.1.457.....359.1....7..433.....415.6.......8........#10# 95532 FNBP C31/M2.15.874 #3 #ED=11.6/2.0/2.0 # .234.....45...9...6.9.2....235...46.........1.......7.3.2.956..54.26.9...963.4...#10# 95130 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # ....5.......1.9236...7.....2.1..469.39....4.1.64..1.23.4....96...2....149.....3.2#10# 95126 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # .234.....45...9...6.9.2....235...46.........1.......7.3.2.659..54.29.6...963.4...#10# 95130 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # ....5.......1.9236...7.....2.4..169.39....4.1.61..4.23.4....96...2....149.....3.2#10# 95126 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # 1.3.56..9.571.9..369.37...1...6..8.7.......2.7.6.....5.7..6.....65.13...9.15.....#10# 1494 FNBP C31/M2.36.182 #2 #ED=11.7/2.0/2.0 # ...45.7.94..7.9.237...3254..6.......3.....95.5.1..........9437....27..95...3..4.2#10# 4274 FNBP C31/M2.78.84 #5 #ED=11.8/11.8/3.4 # ...45.7.94..7.9.237...3254..6.......3.....95.5.1..........7439....29...5...3..4.2#10# 3760 FNBP C30/M2.40.164 #1 #ED=11.8/2.0/2.0 # 1.3...7.9.571...3696.3..15..35....9161......77.9..15......2....57691.........4...#10# 31690 FNBP C32/M2.66.99 #1 #ED=11.7/2.0/2.0 # ....5.......1.9236...7.....29....4.13.1..462..64..1.93.4....96...2....149.6...3.2#10# 3129 FNBP C31/M2.34.192 #5 #ED=11.6/9.4/2.6 # ....5.......1.9236...7.....29....4.13.4..162..61..4.93.4....96...2....149.6...3.2#10# 3129 FNBP C31/M2.34.192 #5 #ED=11.6/9.4/2.6 # .2..567.9.5.7.9.23.9.23.56..7....3.6.64......8...........9.36.2...5..97.....2..35#10# 1487 FNBP C31/M2.58.113 #3 #ED=11.6/9.3/2.6 # 12..5.78..57...2.66.8.2..15.....3....76.........97..6.7.5..162.81.....5..62...8.1#10# 95201 FNBP C32/M2.37.177 #3 #ED=11.6/11.2/9.7 # 1.3.56.8..5718..3.68.3.7....18.6....3.587....76.5.1..8571.....3......4..........2#10# 64754 FNBP C32/M2.56.117 #7 #ED=11.6/11.6/2.6 # .2345....45...9...6.93.2.........8...36...........3.613.2.95.4.56.2.4.9..9463..2.#10# 65492 FNBP C32/M2.56.117 #7 #ED=11.6/11.6/2.6 # ....5678..5.18..36.8.7.31.52..........5...361..4.........61.5.8...8...73..8.3761.#10# 63890 FNBP C32/M2.56.117 #7 #ED=11.6/11.6/2.6 # 12..567...571.92..6.927.1..2.56.1....1679.....7...5.........6.3...96.5...6.....4.#10# 30068 FNBP C32/M2.85.77 #4 #ED=11.7/2.0/2.0 # 1.3..67.9.57..9.3696...751..7.....5.6.5....91.91...3.7.1..4.......8.1........51.3#10# 29423 FNBP C32/M2.85.77 #4 #ED=11.7/2.0/2.0 # 12.4...894.6...1.2.8.2..64..18..49.664.....289.....41....64.891....3.........7...#10# 29821 FNBP C32/M2.85.77 #4 #ED=11.7/2.0/2.0 # 12..567...567.91..7.921.6..2.71.5...69...2....15.6........2.94.........39.2...5..#10# 1530 FNBP C32/M2.74.88 #2 #ED=11.6/2.0/2.0 # 1.3.56..9.571.9..669.37..........8..531...6.7.......2.31.7......75.9....9.6..1...#10# 95118 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # .2....78.4.....2.6..8....5428.7..46..746..5.86.58...27....1.......5.3......2...45#10# 95132 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 # ...4.67....7..9.......2.....98....7151....9..7.6....5..71..859.86...51.79.5..1.68#10# 1767 FNBP C31/M2.51.128 #2 #ED=11.7/2.0/2.0 # 1.3.56.8..5718..3.68.7.3.1..15...863.....5..2......95.3.1..8...56..71..8.78......#10# 734 FNBP C34/M2.91.72 #18#ED=11.7/11.7/2.6 # 1...567.9...1.9.369..37.15....7..5.1..19.5.63......97.31....69558.......6.45.....#10# 734 FNBP C34/M2.91.72 #18#ED=11.7/11.7/2.6 # 12.......4.71.9.....8........5.1439....79..5....5.3...5..34.97.7..9.51.39...71.45#10# 1867 FNBP C32/M2.75.87 #4 #ED=11.7/9.6/2.6 # 12.......4.71.9.....8........5.1439....97..5....5.3...5..34.97.7...91.459..7.51.3#10# 1867 FNBP C32/M2.75.87 #4 #ED=11.7/9.6/2.6 # ..3.567.9..71.9.36..937.15.2.1.....5.9671.....4..........6.15.7....97..3...53....#10# 7172 FNBP C32/M2.90.72 #4 #ED=11.7/9.2/2.6 # 1.3.5.78..57.8..6386..7.1.5....643.....2......8671....61....83.7.8...5...35......#10# 7307 FNBP C32/M2.90.72 #4 #ED=11.7/9.2/2.6 # .2345...945.7.9...7.9.23..4...5.7.........6....7....1537.2.4.....293.....94.752..#10# 95396 FNBP C32/M2.33.198 #6 #ED=11.6/11.1/9.5 # 12..5.78..57...2.66.8.2..15.....3....76.........97..6.7.2..165.81.....2..65...1.8#10# 95383 FNBP C32/M2.33.198 #6 #ED=11.6/11.1/9.5 # 12...6.89.5....26.6.9...1.52.1...9.8.659...1289.2..65.......8.1.1.84.........7...#10# 95387 FNBP C32/M2.33.198 #6 #ED=11.6/11.1/9.5 # 1.3.5..8945.....3..89...4.5.91..........2.......6.1.9.53...8.41.18...9.39.4..385.#10# 95400 FNBP C32/M2.33.198 #6 #ED=11.6/11.1/9.5 # 12...6.894.6..91.2.89...64.....7........9.21...83.....6.....4.18.2....96.41.6.82.#10# 95383 FNBP C32/M2.33.198 #6 #ED=11.6/11.1/9.5 # 1.3.56....5.1.....68.2.3...21.56.8..3.8.216...653.81......32.........3.4.3.....7.#10# 95535 FNBP C31/M2.15.874 #3 #ED=11.6/2.0/2.0 # 1.34...8945....13...91..5.4..5....4883...495.9.4...3.1....6.........7.......4.893#10# 95525 FNBP C31/M2.15.874 #3 #ED=11.6/2.0/2.0 # .....6......78.....89.3.....94...31.31......58.5...9.45.1.4..93.38.1.45.94....8.1#10# 4271 FNBP C31/M2.78.84 #5 #ED=11.8/11.8/3.4 # ......7.9.......3..89.....62.1.68..4.649.2..189.14.....186.4...64..2....9.281....#10# 4272 FNBP C31/M2.78.84 #5 #ED=11.8/11.8/3.4 # ......7.9.......3..89.....62.4.68..1.619.2..489.14.....186.4...64..2....9.281....#10# 4272 FNBP C31/M2.78.84 #5 #ED=11.8/11.8/3.4 # .234.6.8.4.678..2.78..23.6.2.8.7....34.86.....673.2....34..........3.94.........5#10# 62811 FNBP C32/M2.60.109 #8 #ED=11.6/11.6/2.6 # ...4.6.89..6.891.2..921.64.....9.8.1....4296.9..8.1.245........6.....218.3.......#10# 64275 FNBP C32/M2.60.109 #8 #ED=11.6/11.6/2.6 # 1.3..67.9.57..9.3669...315....8.7.......4............53......1..61....9797....5.3#10# 98056 FNBP C29/M2.9.2916 #4 #ED=11.8/2.0/2.0 # 1.3..67.9.57..9.3696...315....8.7.......4............53......1..91....6767....5.3#10# 98055 FNBP C29.m/M2.9.2916#4 #ED=11.8/2.0/2.0 # .2.45..89.5..8923..9.2.35.4.36............4..7............9...8...32.94....5.83.2#10# 98068 FNBP C29/M2.9.2916 #4 #ED=11.8/2.0/2.0 # .2345...945...9...8.92.3..4238....4........1.......6..3.45.....58..324...928.4...#10# 95532 FNBP C31/M2.16.820 #5 #ED=11.6/2.0/2.0 # 12.4.6...4.6.89....892...4.2.196...8.68..2...94.1.8...........3612....9.......5..#10# 50410 FNBP C30/M2.61.107 #3 #ED=11.7/2.0/2.0 # 1.3.56.....678..3.78.1.3......561.7.......4..........2.176.58..6..81....8.5.37...#10# 49914 FNBP C30/M2.61.107 #3 #ED=11.7/2.0/2.0 # 1.3.56.....678..3.78.1.3......561.7.......4..........2.156.78..6..81....8.7.35...#10# 49914 FNBP C30/M2.61.107 #3 #ED=11.7/2.0/2.0 # 1...567...5718....68.3.71.....86357.........2.......9.37.5.1...5.863...7.6..78...#10# 31497 FNBP C32/M2.97.67 #4 #ED=11.7/2.0/2.0 # ..3.5678...718..36...3.71..24.......39.....1.7.853........7..6..7.6........81.57.# 9# 3707 FNBP C30/M1.1.71 #2 #ED=11.6/7.1/2.6 # ...45..8.4.......6......14.2.8.75.9..4592..7.79.8.4.2..74.98...8....7.....25.....# 9# 29372 FNBP C30/M2.60.109 #2 #ED=11.7/2.0/2.0 # 12..56....57.8...66.8..7..........9.......3......218.7.618.2...5.27..1..8...15.2.# 9# 96620 FNBP C29/M2.14.468 #1 #ED=11.6/2.0/2.0 # 12..567.9.57...26.6.9.72..5.....8...5619.7.......3.......7..19.71....5.6.9.....27# 9# 1705 FNBP C32/M1.1.51 #1 #ED=11.7/2.0/2.0 # ...45..8.4.......6......14.2....8....98.74...7.452.....7589..2.84.2.7.9.9.2.45.7.# 9# 28476 FNBP C32/M2.89.73 #1 #ED=11.7/2.0/2.0 # 1.3.56....571....668...7..1......9.........2.738....653.587.6..81.6.5....76..3...# 9# 30634 FNBP C31/M2.68.96 #1 #ED=11.7/2.0/2.0 # ..3.567.9..71.9.36..6...15.2.....5...4....9.7..1.9.......51.67.....63.9....9.73.5# 9# 8505 FNBP C31/M2.37.177 #3 #ED=11.7/10.4/2.6 # ...4.678.4...8.2.668..72.54....485.....76.4.2..42.5..83.........1........45...627# 9# 7756 FNBP C32/M2.40.164 #3 #ED=11.7/10.4/2.6 # 12..56....57..9...6.9.7....2.57.169..6192....9...651.....512..7......3.........4.# 9# 10223 FNBP C30/M2.30.218 #3 #ED=11.7/10.4/2.6 # ..345..89....8923...92.34.5.6.........4....287.8..2......92..43.....459.....358.2# 9# 1987 FNBP C32/M2.20.328 #5 #ED=11.7/11.7/3.4 # ..345..89....8923...92.34.5.6.........4....287.8..2......93..42.....459.....258..# 9# 1462 FNBP C31/M2.3.19683 #1 #ED=11.7/2.0/2.0 # ...4.678......9.3....7....428.........5.....8.4..98....7..6389..6.9.7.43.3.84.6.7# 9# 30033 FNBP C30/M2.66.99 #2 #ED=11.7/2.0/2.0 # 12..5.78..57.8.2.6..8....1527.8...61.81...5.2..6...87.....18627.....4......3.....# 9# 30299 FNBP C32/M2.93.70 #7 #ED=11.7/2.0/2.0 # 1.3.5.....57....3669..7.51..697....353....97.7.1....6....8..........4...916.37...# 9# 29744 FNBP C30/M2.66.99 #2 #ED=11.7/2.0/2.0 # ....5..8.4.......6......1..2.857.....94.28...7....4....7524..9.8.2.95.7.94.8.7.2.# 9# 15502 FNBP C30/M2.58.113 #2 #ED=11.7/2.0/2.0 # ...45..8.4.......6......14.2..8......78.94...9.452.....9524..7.74.9.8.2.8.2.75.9.# 9# 28459 FNBP C32/M2.93.70 #7 #ED=11.7/2.0/2.0 # ...45..8.4.......6......14.29.8.4.7..4597..2.7.8.25.9..74.98...8....7.....25.....# 9# 29372 FNBP C30/M2.60.109 #2 #ED=11.7/2.0/2.0 # .2345.7..45.7.9...7.9.325..23...4....4537....9.72.....392...45........1.........6# 9# 1680 FNBP C31/M2.40.164 #5 #ED=11.7/2.0/2.0 # .234.6...4.678...278..23..623..68....783.....6.4..7.........9..847...2.3.......1.# 9# 1689 FNBP C31/M2.40.164 #5 #ED=11.7/2.0/2.0 # 12..56....57.8...66.8..7...2.57..1...618.2....8..15.2.....218.7......39..........# 9# 96189 FNBP C29/M2.27.243 #1 #ED=11.6/7.1/2.6 # 12..56....57.8...66.8..7.........3.........9.....218.7.618.2...5.27..1...8..15.2.# 9# 97007 FNBP C29/M2.15.437 #1 #ED=11.6/7.1/2.6 # 12....78..5.1..2.66......1527...86..8.6...1.7..5.7..28.....4.......9....78.56....# 9# 97054 FNBP C29/M2.15.437 #1 #ED=11.6/7.1/2.6 # .....6...4.718....6...27...27.6.1..4..4.78..28.124.......714.287.....3.1.......57# 9# 95019 FNBP C31/M2.13.1512 #1 #ED=11.7/5.0/2.6 # .....6...4.718....6...27...27.6.8..4..4.71..28.124...........977.....3.1...714.28# 9# 3155 FNBP C31/M2.26.504 #2 #ED=11.7/5.0/2.6 # ..3.567....71.9.36......15.2.6......3.5671....81....6....9.........63.9....51.67.# 9# 91920 FNBP C29/M2.12.2184 #1 #ED=11.7/5.0/2.6 # .....6...4.718....6...27...27.6.8..4..1.74..28.421...........977.....3.1...741.28# 9# 3155 FNBP C31/M2.26.504 #2 #ED=11.7/5.0/2.6 # 12..56....5718...66..2.7..5.7.....91......3.7...7615.2.8.6.5...76..12......87....# 9# 2741 FNBP C32/M2.18.1092 #1 #ED=11.7/5.0/2.6 # 1...56....5718...668.3.7..5.1....59.......42....53.6.836.81.....7.6.........7..6.# 9# 3711 FNBP C30/M1.1.71 #2 #ED=11.7/7.1/2.6 # 1.3.567...5718....68...71..........4365...8.1.......2.51..3....7.6.18....386.5.1.# 9# 30651 FNBP C32/M2.89.73 #2 #ED=11.7/2.0/2.0 # 12.4.6.8.4.6.89.2..9821..6.2.48......61.24...9..6.1....19....4.......3.....1...95# 9# 344 FNBP C32/M1.2.51 #1 #ED=11.7/2.0/2.0 # 12....7.9.5.1..26.6......5127..9...5..6..7.929.5...17.....4.........8...79.6.5...# 9# 97054 FNBP C29/M2.14.468 #1 #ED=11.6/2.0/2.0 # ...45..8.4.......6......14.2.45......98.24...7....8....7589..2.84.2.7.9.9.2.45.7.# 9# 3870 FNBP C31/M2.91.72 #1 #ED=11.7/2.0/2.0 # 1.3..6....571.9...69.3...1...19.3..773..15...9.576.1.3........4......8.....597.6.# 9# 10957 FNBP C31/M2.29.452 #1 #ED=11.7/9.9/2.6 # .23.5.......1..2......27...24.....56..5...9...39...42.36..4.59.5.4.9.6.2.92.6..34# 9# 30024 FNBP C32/M2.93.70 #7 #ED=11.7/2.0/2.0 # ....5..8.4.......6......1..2.8.95.7..7524..9.94.8.7.2..94.28...7....4...8.257....# 9# 15502 FNBP C30/M2.58.113 #2 #ED=11.7/2.0/2.0 # .23.5.78.45..8..237.8...5.4234.78......9..........1...3.2.....754....3...87...25.# 9# 1677 FNBP C31/M2.40.164 #5 #ED=11.7/2.0/2.0 # 12..56..9.567.9..27.921....21.5.....6.5.7.....976.2.........8..561....97.......4.# 9# 1678 FNBP C31/M2.40.164 #5 #ED=11.7/2.0/2.0 # 12....7.9.5.1..26.6......5127..9.5....6..7.929.5...17.....4.........8...79.6.5...# 9# 96606 FNBP C29/M2.15.437 #1 #ED=11.6/7.1/2.6 # .2.45..89.5..8923..8.3.24.5.31.....47.........9..4.......9.5..2...82.94.....34.58# 9# 299 FNBP C32/M1.2.53 #2 #ED=11.7/11.7/2.6 # 12....78..5.1..2.66......1527...85..8.6...1.7..5.7..28.....4.......9....78.56....# 9# 96602 FNBP C29/M2.7.2811 #1 #ED=11.6/2.0/2.0 # 1.3.56.8..5718....68.3.7.5....6.351.......9..........23..8.1....6173.8..87..65...# 9# 1978 FNBP C32/M2.20.328 #5 #ED=11.7/11.7/3.4 # ....567.9.5.1.9.36.9.73.15.26..7......8.......1.....67...5.7.91....9367.....1.3.5# 9# 1978 FNBP C32/M2.20.328 #5 #ED=11.7/11.7/3.4 # 1.3.56.8..5718....68.3.7.5....6.381.......9..........23..5.1...57..68....6173.5..# 9# 1982 FNBP C32/M2.20.328 #5 #ED=11.7/11.7/3.4 # 1...5678....18..366..3.71.5....3..57...5..81....7.16.336....578..2.......4.......# 9# 1694 FNBP C31/M2.40.164 #5 #ED=11.7/2.0/2.0 # .2.4.6.8.4.6.89....8921..4.29..614...6482......19.4...........7...192.64......3..# 9# 30346 FNBP C32/M2.89.73 #2 #ED=11.7/2.0/2.0 # 1.3.56....5718....68.3.71.........9.........2768...5.35.687...183.6.1....71..5...# 9# 302 FNBP C32/M1.2.53 #2 #ED=11.7/11.7/2.6 # ...45..8.4.......6......14.2.4.75.9..9582..7.87.9.4.2..48.97.....25.....9....8...# 9# 29621 FNBP C30/M2.59.111 #1 #ED=11.7/2.0/2.0 # .234....945...9...6.9.32...24.....6.3.5.64.9..962.5...534...92.......8..........7# 9# 30901 FNBP C30/M2.64.102 #1 #ED=11.7/2.0/2.0 # 12.4.6...4.6.891....921.6..2.1.68....489.2..19..14...........5....89421.........7# 9# 30216 FNBP C32/M2.94.69 #6 #ED=11.7/2.0/2.0 # 12..567...571.92..6.972.1..2.56.1....7.29.....1...5.........6.3...96.5...6.....4.# 9# 30825 FNBP C31/M2.92.71 #2 #ED=11.7/2.0/2.0 # .23....894.....2.38.9....1.2.8..4.3139...28.4.41..892......319....6.........71...# 9# 1674 FNBP C31/M2.40.164 #1 #ED=11.7/2.0/2.0 # 1....67.9.57..9...69...35...6....39.......6.773..6..51...8.1......6951.3....4....# 9# 13429 FNBP C29/M2.27.486 #1 #ED=11.7/5.0/2.6 # 1..4..78.4.71....6..82...142.6814......6.5.......9.....12....4.68..4..277.4......# 9# 14691 FNBP C30/M2.43.304 #3 #ED=11.7/5.0/2.6 # .2.45..89.5..8912..8.1.25.4.4....9..61..9......7.........5.8.9.....4.2.8...92..51# 9# 2094 FNBP C31/M1.1.81 #4 #ED=11.7/9.5/2.6 # .2.45..89.5..8912..8.1.25.4.4....9..61..9......7.........9.8.5.....4.2.8...52..91# 9# 2094 FNBP C31/M1.1.81 #4 #ED=11.7/9.5/2.6 # 1.34.6....5.1......68.3........1.5.7.......2...1...3..6.5.418...345.86..81.36.4..# 9# 367 FNBP C30/M1.1.47 #2 #ED=11.7/2.0/2.0 # ....56.89...1.9..6....2.51...596.8.1..15.862...6.12.95..2...9..7.8.9.....3.......# 9# 2090 FNBP C31/M1.1.81 #4 #ED=11.7/9.5/2.6 # ...4.6.....7.89.36...37..4...1......37..98...8.5....6....9.76.87...6439.9..83..74# 9# 95018 FNBP C32/M2.39.168 #4 #ED=11.6/11.6/2.6 # ...4.6.....7.89.36...37..4...1......37..98...8.5....6....9.76.87..83..949...6437.# 9# 95023 FNBP C32/M2.39.168 #4 #ED=11.6/11.6/2.6 # ...4.6.....7.89.63...37...4..1......37..98...9.5.....6...8.769.7...643.88..93..47# 9# 95018 FNBP C32/M2.39.168 #4 #ED=11.6/11.6/2.6 # .23.....94.7..9.3669..........8.1..47.4.62.......4....34..7.9.2.72...36.9.6.2..47# 9# 95011 FNBP C32/M2.39.168 #4 #ED=11.6/11.6/2.6 # .234..7.945.7...327.92..54.2.....4.3......92.93...2.573..518...5..3.........24375# 8# 1880 FNBP C36/M1.1.62 #4 #ED=11.6/11.6/2.6 # ...45........89.....92.7.4.2..7.589.5..92.4.79...48.25.95872...71.......86.....7.# 8# 483 FNBP C33/M1.1.52 #2 #ED=11.7/11.7/2.6 # 12..56.89.5....2.6......15.....4.......2.859..1.93.....82...61.5.1...9.896.8...25# 8# 997 FNBP C32/M1.2.38 #1 #ED=11.6/10.5/8.3 # 1.3...789.......23....3..45.15.97..83.981...778.5.3...5.1....7..78......93..758..# 8# 95036 FNBP C34/M2.46.710 #1 #ED=11.7/11.7/2.6 # 123...7.9.56..9....89......2..6.739........27.7....6.1...96.27...72.3.16..2.719.3# 8# 92250 FNBP C34/M2.59.111 #1 #ED=11.7/11.7/2.6 # ..3.5678...718..36...7.35.12.........78.31...9.1....5.3...18.757..6.5......37..6.# 8# 89387 FNBP C33/M2.38.172 #1 #ED=11.6/11.6/9.0 # .234..7.945.7...327.92..54.2.....4.3......92.93...2.573..5.....5..318.......24375# 8# 1880 FNBP C36/M1.1.62 #4 #ED=11.6/11.6/2.6 # .234..7.945.7...327.92..54.2.....4.3......92.93...2.753..518...5..3.........24357# 8# 1880 FNBP C36/M1.1.62 #4 #ED=11.6/11.6/2.6 # ...45........89.....92.7.4.2...48.955..92.4.79..7.582..95872...71.......86.....7.# 8# 483 FNBP C33/M1.1.52 #2 #ED=11.7/11.7/2.6 # 1...5678....18..366..3.71.5.1..7..58...5..31......16.7.42...............86....573# 8# 98251 FNBP C31/M2.21.312 #4 #ED=11.7/11.1/2.6 # 1.3..67.9.57..9.3669....15........737.....96.93.7..5.13....5...5.924.......6.1.95# 8# 1383 FNBP C34/M1.1.41 #3 #ED=11.6/11.6/3.6 # 1.34.6.......8........235...14...9..63.94.1.59.5.1....3.1..469.56....4.1.49..1.53# 8# 1383 FNBP C34/M1.1.41 #3 #ED=11.6/11.6/3.6 # 1.3.5.7.9.57....3669..7.15..657.1.93..1...57....5..6.1..629........379.5...8.....# 8# 1383 FNBP C34/M1.1.41 #3 #ED=11.6/11.6/3.6 # .234..7.945.7...327.92..54.2.....4.3......92.93...2.753..5.....5..318.......24357# 8# 1880 FNBP C36/M1.1.62 #4 #ED=11.6/11.6/2.6 # 1.3.....945.....3..89...4...18..4.533.4..89.159...384....6.1.9....7.....9.1..5...# 8# 98261 FNBP C31/M2.21.312 #4 #ED=11.7/11.1/2.6 # 1.3.....945.....3..89...4...14..8.533.8..49.159...384....6.1.9....7.....9.1..5...# 8# 98261 FNBP C31/M2.21.312 #4 #ED=11.7/11.1/2.6 # .23.5.78.45..8..237.8...5.4237.48......9.1............3.4..5..257....3...82....5.# 8# 98264 FNBP C31/M2.21.312 #4 #ED=11.7/11.1/2.6 # 1.....7.9...18923.......4.12.189...3.952.3..883..15..23...2....51.93.82....5..3..# 7# 649 FNBP C35/M1.1.63 #2 #ED=11.6/11.6/2.6 # 12..5.78..57.8.2.66.8....15...9.3......8...72..1.......6....5.77.25...61.15...82.# 7# 97063 FNBP C32/M2.19.345 #3 #ED=11.8/11.2/10.1# .23.5....45...9...6.92.....2.6...4..........7.....26.134..259...659.43..9.263.5..# 7# 98133 FNBP C31/M2.18.1092 #3 #ED=11.9/11.9/2.6 # ...4...89....8923......31.4..9.....16.13.....7..........29.481...482..93..8.314.2# 7# 1630 FNBP C31/M2.81.81 #4 #ED=11.7/2.0/2.0 # 1......89...18..3.........42.63.1.7..8167..2.73..28.6.3..7.2....7.81.....12.63...# 7# 1996 FNBP C32/M2.81.81 #7 #ED=11.7/2.0/2.0 # ...4.678.....89.3....73...4.6.9.7.43.7..6389..3.84.6.7.95.....8.4..98.....2......# 7# 2006 FNBP C32/M2.81.81 #7 #ED=11.7/2.0/2.0 # 1.3.56....57.8...668...7....167.3...53.8...1.7...153.................92.....31.78# 7# 95736 FNBP C29/M2.21.312 #1 #ED=11.7/7.1/3.4 # 1.3.5....45.1.9....983...1..4591.3..3.98.4...81..354........97.....9.82.98.......# 7# 96986 FNBP C32/M2.11.1788 #3 #ED=11.7/11.7/6.6 # .....678.4.....23...........1.86......4.158..58.7.4...7.15.8...86..41..7.4567...8# 7# 96808 FNBP C31/M2.8.4920 #2 #ED=11.7/11.1/6.6 # 1...56....5.18...668.3.7.....1.38.7.3.567....87.5..3...........73.....51......42.# 7# 95753 FNBP C29/M2.20.328 #1 #ED=11.6/7.1/3.4 # ......7.9...189.3.......4.123..15..8.958.3...8..29...33...2....51.93.82....5..3..# 7# 1556 FNBP C31/M1.1.70 #1 #ED=11.6/3.6/2.6 # ...4...89....8923......31.4..9.....16.13.....7..........29.481...483..92..8.214.3# 7# 1630 FNBP C31/M2.81.81 #4 #ED=11.7/2.0/2.0 # 1......89...18..3.........423..78.6..8162..7.7.63.1.2.3..7.2....7.81.....12.63...# 7# 1996 FNBP C32/M2.81.81 #7 #ED=11.7/2.0/2.0 # ...4.678.....89.3....73...4.6.9.3.47.3..6789..7.84.6.3.95.....8.4..98.....2......# 7# 2006 FNBP C32/M2.81.81 #7 #ED=11.7/2.0/2.0 # 1...56....5.18...668.7.3.....5.38.7.3.167....87...13...........73.....15......42.# 7# 95754 FNBP C29/M2.20.328 #1 #ED=11.6/7.1/3.4 # 12..56....57.8...66.8..7...2.5.7.1...618.2....8..15.2.......39..............218.7# 7# 97610 FNBP C29/M2.7.3748 #1 #ED=11.6/7.1/2.6 # ......7.9...18923.......4.12.589...3.9.2.3..883..15..23...2....51.93.82....5..3..# 7# 1447 FNBP C33/M1.1.66 #2 #ED=11.6/3.6/2.6 # .23...7.945...923.7.9..3.452.4...39..75.9.4.29......57..2..........3.5.4...61....# 7# 97280 FNBP C32/M2.19.345 #3 #ED=11.8/11.2/10.1# .23.5..8945..8.23.8.9...5.428.....4..35...89.9.4..83.23.2..5......7.1.........9..# 7# 97171 FNBP C32/M2.19.345 #3 #ED=11.8/11.2/10.1# 1..45.7.94..7.913.....13.54....719.....94..73..73.5.1.3.2......5.8...3.....53....# 7# 97055 FNBP C32/M2.11.1788 #3 #ED=11.7/11.7/6.6 # ......7.9...18923.......4.123..15..8.9.8.3..28.529...33...2....51.93.82....5..3..# 7# 1447 FNBP C33/M1.1.66 #2 #ED=11.6/3.6/2.6 # 1.3.56.8..5718..3.68.3.7....18.7....3.586....76.5.1..8571.....3......4.2.........# 7# 95156 FNBP C32/M2.50.524 #7 #ED=11.8/11.8/2.6 # 1..4.678.4..18..638...371.4...64..17...8.34.6....718..3.5...6....2.........36....# 7# 95159 FNBP C32/M2.50.524 #7 #ED=11.8/11.8/2.6 # .2.45.7.9.5.7.9.32....2354....5..9.4..5.9437....37..25..2...497.........8.1......# 7# 95158 FNBP C32/M2.50.524 #7 #ED=11.8/11.8/2.6 # 1.3...78..57...2.3.8.....51...6......3.9.2.........32.37...15.85.2..713..18..5.72# 7# 95153 FNBP C32/M2.50.524 #7 #ED=11.8/11.8/2.6 # 12..56.8..5718....6.87.2.1.27.56...88..2.1.....6.78......627.51...............9.3# 7# 3234 FNBP C32/M2.63.416 #5 #ED=11.7/9.4/2.6 # .234.6...4.678...378..32..4...............95....6784.23..84......7.63...86.2.73..# 7# 3237 FNBP C32/M2.63.416 #5 #ED=11.7/9.4/2.6 # 1.3.567...5718.3..68.3.7.....1.75......8.1...8.563...7........2..8...6.4...76.53.# 7# 95024 FNBP C32/M2.39.168 #2 #ED=11.6/11.6/9.0 # .23.....94.7..9.3669..........8.1..77.4.62.......4....34..7.9.2.72...36.9.6.2..74# 7# 95011 FNBP C32/M2.39.168 #2 #ED=11.6/11.6/9.0 #

Website · by **denis_berthier** » Fri Dec 20, 2024 5:23 am

coloin wrote:The two puzzles which have differ by a UA are twin puzzles

Yes. I think this is very general: if two puzzles differ only by a UA, they are twins - and they have exactly the same PM at the start and therefore the same resolution paths.
The solution I've given above was for the two B13B puzzles.
.

Website · by **denis_berthier** » Fri Dec 20, 2024 5:36 am

hendrik_monard wrote:Here is a batch of 196 new B7B+ puzzles representing the same number of new solutions. This brings the total number of different solutions in my B7B+ database to 799.

Hi Hendrik
It's very interesting that you could enlarge the database of solution grids having B7B+ puzzles (all of which, except 3 old B7B ones, have a non-degenerate tridagon until now).
I'm curious about the number of minimal B7B+ puzzles you've got so far from these 799 grids. Could you publish them also?
.

by **hendrik_monard** » Fri Dec 20, 2024 5:24 pm

coloin wrote:I will process these / group the twins together overnight but do note that SE rates a few of the puzzles as 11.9 ! [fanfare !]
CODE: SELECT ALL
.234.....45...9...6.9.2....235...46.........1.......7.3.2.956..54.26.9...963.4...#10# 95130 FNBP C30/M2.18.728 #8 #ED=11.9/11.9/2.6 #
.23.5....45...9...6.92.....2.6...4..........7.....26.134..259...659.43..9.263.5..# 7# 98133 FNBP C31/M2.18.1092 #3 #ED=11.9/11.9/2.6 #

I counted in your list of SER calculations 9 puzzles with SER11.9/11.9/2.6. This is amazing but perhaps not surprising. Thanks for having noticed that.

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Re: The BxB classification of T&E(2) puzzles

Re: The BxB classification of T&E(2) puzzles