task_name string | initial_board string | solution string | title string | rules string | visual_elements string | rows int64 | cols int64 | initial_observation string | description string | task_type string | data_source string | difficulty string | hint string | solver_difficulty string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
sudoku_normal_extremely_hard_50 | 7...1.6...4.5...9...8..9..358....1..9...5...8..1....456..4..3...7...3.2...2.9...7 | 793218654146537892258649713587924136964351278321786945615472389479863521832195467 | sudoku_normal_extremely_hard_50 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 7 . . . 1 . 6 . .
. 4 . 5 . . . 9 .
. . 8 . . 9 . . 3
5 8 . . . . 1 . .
9 . . . 5 . . . 8
. . 1 . . . . 4 5
6 . . 4 . . 3 . .
. 7 . . . 3 . 2 .
. . 2 . 9 . . . 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 793218654146537892258649713587924136964351278321786945615472389479863521832195467 #1 Medium (446)
Locked Candidates Type 1 (Pointing): 4 in b4 => r8c3<>4
Locked Pair: 5,9 in r78c3 => r1c3,r79c2<>5, r1c3,r7c2<>9
Naked Single: r1c3=3
Naked Single: r7c2=1
Naked Single: r2c3=6
Naked Single: r7c9=9
Nake... | Medium |
sudoku_normal_extremely_hard_51 | ...2..7.3.4..7....9.....5.25..8...3...1.2.9...8...4..63.9.....7....5..1.6.8..3... | 165289743842375691973461582596817234431526978287934156359142867724658319618793425 | sudoku_normal_extremely_hard_51 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . . 2 . . 7 . 3
. 4 . . 7 . . . .
9 . . . . . 5 . 2
5 . . 8 . . . 3 .
. . 1 . 2 . 9 . .
. 8 . . . 4 . . 6
3 . 9 . . . . . 7
. . . . 5 . . 1 .
6 . 8 . . 3 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 165289743842375691973461582596817234431526978287934156359142867724658319618793425 #1 Medium (414)
Hidden Single: r4c2=9
Hidden Single: r8c7=3
Locked Triple: 2,4,7 in r8c123 => r8c49<>4, r8c46,r9c2<>7, r79c2,r8c6<>2
Hidden Single: r7c6=2
Hidden Single: r9c4=7
Hidden Single: r8c2=2
Locked Candidates ... | Medium |
sudoku_normal_extremely_hard_52 | .4...8...5..1..9....7.3..1..9......7..2.4.8..1......6..8..9.4....3..7..2...5...3. | 941658723536172984827439615698215347372946851154783269285391476413867592769524138 | sudoku_normal_extremely_hard_52 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 4 . . . 8 . . .
5 . . 1 . . 9 . .
. . 7 . 3 . . 1 .
. 9 . . . . . . 7
. . 2 . 4 . 8 . .
1 . . . . . . 6 .
. 8 . . 9 . 4 . .
. . 3 . . 7 . . 2
. . . 5 . . . 3 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 941658723536172984827439615698215347372946851154783269285391476413867592769524138 #1 Easy (262)
Hidden Single: r1c3=1
Hidden Single: r9c3=9
Hidden Single: r8c8=9
Naked Single: r5c8=5
Naked Single: r7c8=7
Naked Single: r1c8=2
Naked Single: r4c8=4
Full House: r2c8=8
Naked Single: r2c3=6
Nake... | Easy |
sudoku_normal_extremely_hard_53 | 5..1....6.6....9....7..4.2...37....8.8..3..1.9....64...1.2..8....5....7.8....9..4 | 542193786368572941197684325623741598784935612951826437419257863235468179876319254 | sudoku_normal_extremely_hard_53 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 5 . . 1 . . . . 6
. 6 . . . . 9 . .
. . 7 . . 4 . 2 .
. . 3 7 . . . . 8
. 8 . . 3 . . 1 .
9 . . . . 6 4 . .
. 1 . 2 . . 8 . .
. . 5 . . . . 7 .
8 . . . . 9 . . 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 542193786368572941197684325623741598784935612951826437419257863235468179876319254 #1 Medium (644)
Locked Candidates Type 2 (Claiming): 8 in r3 => r1c56,r2c456<>8
Hidden Single: r8c6=8
Hidden Single: r4c6=1
Hidden Single: r6c3=1
Naked Triple: 2,5,8 in r5c6,r6c45 => r4c5<>2, r4c5,r5c4<>5
Naked Triple: 1... | Medium |
sudoku_normal_extremely_hard_54 | ..5.3.6.....7...4..8...6..13..8...2...7...9...9...1..41..5...8..5...2.....9.4.7.. | 275134698961785342483296571346859127817423956592671834134567289758912463629348715 | sudoku_normal_extremely_hard_54 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 5 . 3 . 6 . .
. . . 7 . . . 4 .
. 8 . . . 6 . . 1
3 . . 8 . . . 2 .
. . 7 . . . 9 . .
. 9 . . . 1 . . 4
1 . . 5 . . . 8 .
. 5 . . . 2 . . .
. . 9 . 4 . 7 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 275134698961785342483296571346859127817423956592671834134567289758912463629348715 #1 Medium (388)
Hidden Pair: 1,8 in r28c5 => r2c5<>2, r2c5<>5, r28c5<>9, r8c5<>6, r8c5<>7
Hidden Single: r8c1=7
Hidden Single: r3c8=7
Naked Single: r1c8=9
Hidden Single: r1c2=7
Hidden Single: r4c9=7
Hidden Single: r6c... | Medium |
sudoku_normal_extremely_hard_55 | ..6.21..5...5..8..4......3..5...2..7..9.4.1..6..8...9..1......6..2..7...8..25.4.. | 386421975721539864495678231158392647239746158674815392513984726942167583867253419 | sudoku_normal_extremely_hard_55 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 6 . 2 1 . . 5
. . . 5 . . 8 . .
4 . . . . . . 3 .
. 5 . . . 2 . . 7
. . 9 . 4 . 1 . .
6 . . 8 . . . 9 .
. 1 . . . . . . 6
. . 2 . . 7 . . .
8 . . 2 5 . 4 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 386421975721539864495678231158392647239746158674815392513984726942167583867253419 #1 Easy (314)
Hidden Single: r3c3=5
Hidden Single: r1c2=8
Hidden Single: r3c9=1
Hidden Single: r4c3=8
Hidden Single: r9c8=1
Hidden Single: r4c8=4
Naked Single: r1c8=7
Naked Single: r1c7=9
Naked Single: r1c1=3
... | Easy |
sudoku_normal_extremely_hard_56 | ...8.4..5.3..9..1......74..9.4...3....7.6.2....5...1.6..24......8..7..9.7..1.3... | 271834965436592817598617423964721358817365249325948176652489731183276594749153682 | sudoku_normal_extremely_hard_56 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . . 8 . 4 . . 5
. 3 . . 9 . . 1 .
. . . . . 7 4 . .
9 . 4 . . . 3 . .
. . 7 . 6 . 2 . .
. . 5 . . . 1 . 6
. . 2 4 . . . . .
. 8 . . 7 . . 9 .
7 . . 1 . 3 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 271834965436592817598617423964721358817365249325948176652489731183276594749153682 #1 Easy (294)
Naked Single: r5c2=1
Naked Single: r6c2=2
Naked Single: r4c2=6
Hidden Single: r2c1=4
Hidden Single: r6c5=4
Hidden Single: r9c2=4
Hidden Single: r5c9=9
Hidden Single: r1c7=9
Naked Single: r1c2=7
... | Easy |
sudoku_normal_extremely_hard_57 | ...2......4...9..71.9.4.6...7.6....8..5.7.9..3....1.5...2.1.5.66..4...3......3... | 783256149546189327129347685974635218215874963368921754432718596657492831891563472 | sudoku_normal_extremely_hard_57 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . . 2 . . . . .
. 4 . . . 9 . . 7
1 . 9 . 4 . 6 . .
. 7 . 6 . . . . 8
. . 5 . 7 . 9 . .
3 . . . . 1 . 5 .
. . 2 . 1 . 5 . 6
6 . . 4 . . . 3 .
. . . . . 3 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 783256149546189327129347685974635218215874963368921754432718596657492831891563472 #1 Medium (384)
Hidden Single: r6c7=7
Hidden Single: r2c4=1
Hidden Single: r5c8=6
Hidden Single: r7c2=3
Hidden Single: r9c5=6
Hidden Single: r1c6=6
Hidden Single: r2c3=6
Hidden Single: r6c2=6
Hidden Single: r1c3... | Medium |
sudoku_normal_extremely_hard_58 | ..4....2..9...2..56...3.7..2..7...9...8.1.6...3...4..8..1.6...43..9...8..7....1.. | 754896321193472865682135749216758493548319672937624518821567934365941287479283156 | sudoku_normal_extremely_hard_58 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 4 . . . . 2 .
. 9 . . . 2 . . 5
6 . . . 3 . 7 . .
2 . . 7 . . . 9 .
. . 8 . 1 . 6 . .
. 3 . . . 4 . . 8
. . 1 . 6 . . . 4
3 . . 9 . . . 8 .
. 7 . . . . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 754896321193472865682135749216758493548319672937624518821567934365941287479283156 #1 Easy (444)
Hidden Single: r2c3=3
Hidden Single: r8c6=1
Hidden Single: r6c3=7
Hidden Single: r6c4=6
Hidden Single: r9c3=9
Hidden Single: r2c8=6
Hidden Single: r1c6=6
Hidden Single: r7c7=9
Hidden Single: r9c9=6... | Easy |
sudoku_normal_extremely_hard_59 | ..5..8..1.2.1..3..78..3..9...46....9.3.....1.9....72...1..6..85..2..3.7.5..4..6.. | 345298761629174358781536492174625839236849517958317246413762985862953174597481623 | sudoku_normal_extremely_hard_59 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 5 . . 8 . . 1
. 2 . 1 . . 3 . .
7 8 . . 3 . . 9 .
. . 4 6 . . . . 9
. 3 . . . . . 1 .
9 . . . . 7 2 . .
. 1 . . 6 . . 8 5
. . 2 . . 3 . 7 .
5 . . 4 . . 6 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 345298761629174358781536492174625839236849517958317246413762985862953174597481623 #1 Easy (212)
Naked Single: r8c9=4
Naked Single: r7c7=9
Naked Single: r7c6=2
Naked Single: r8c7=1
Naked Single: r7c4=7
Naked Single: r7c3=3
Full House: r7c1=4
Naked Single: r2c1=6
Naked Single: r1c1=3
Naked S... | Easy |
sudoku_normal_extremely_hard_60 | 9..6....2..8..3....1..7.4....7....3.5..8.1..9.8....1....3.6..7....9..5..8....2..6 | 975684312428153697316279485147596238532841769689327154293465871764918523851732946 | sudoku_normal_extremely_hard_60 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 9 . . 6 . . . . 2
. . 8 . . 3 . . .
. 1 . . 7 . 4 . .
. . 7 . . . . 3 .
5 . . 8 . 1 . . 9
. 8 . . . . 1 . .
. . 3 . 6 . . 7 .
. . . 9 . . 5 . .
8 . . . . 2 . . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 975684312428153697316279485147596238532841769689327154293465871764918523851732946 #1 Easy (528)
Hidden Single: r4c1=1
Hidden Single: r5c7=7
Hidden Single: r1c2=7
Hidden Single: r2c9=7
Hidden Single: r8c1=7
Hidden Single: r9c4=7
Hidden Single: r1c7=3
Naked Single: r9c7=9
Naked Single: r2c7=6
... | Easy |
sudoku_normal_extremely_hard_61 | ....1...29..7..3....1..8.4..5.8..2..7...9...5..2..6.8..4.3..7....6..1..98...6.... | 387614592964725318521938647659843271738192465412576983145389726276451839893267154 | sudoku_normal_extremely_hard_61 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . . . 1 . . . 2
9 . . 7 . . 3 . .
. . 1 . . 8 . 4 .
. 5 . 8 . . 2 . .
7 . . . 9 . . . 5
. . 2 . . 6 . 8 .
. 4 . 3 . . 7 . .
. . 6 . . 1 . . 9
8 . . . 6 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 387614592964725318521938647659843271738192465412576983145389726276451839893267154 #1 Medium (494)
Hidden Pair: 7,9 in r14c8 => r1c8<>5, r14c8<>6, r4c8<>1, r4c8<>3
Hidden Pair: 1,6 in r4c19 => r4c19<>3, r4c19<>4, r4c9<>7
Naked Triple: 1,6,8 in r247c9 => r3c9<>6, r69c9<>1
Naked Single: r3c9=7
Naked Single:... | Medium |
sudoku_normal_extremely_hard_62 | 8..2...6...3..5..1.4.3..7..9.1....8.....6.....3....2.5..6..4.7.2..1..9...8...9..4 | 819247563763985421542316798921453687475862319638791245196534872254178936387629154 | sudoku_normal_extremely_hard_62 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 8 . . 2 . . . 6 .
. . 3 . . 5 . . 1
. 4 . 3 . . 7 . .
9 . 1 . . . . 8 .
. . . . 6 . . . .
. 3 . . . . 2 . 5
. . 6 . . 4 . 7 .
2 . . 1 . . 9 . .
. 8 . . . 9 . . 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 819247563763985421542316798921453687475862319638791245196534872254178936387629154 #1 Easy (314)
Hidden Single: r6c1=6
Naked Single: r2c1=7
Hidden Single: r7c2=9
Hidden Single: r8c3=4
Hidden Single: r3c6=6
Hidden Single: r2c2=6
Hidden Single: r5c1=4
Hidden Single: r1c2=1
Naked Single: r1c6=7
... | Easy |
sudoku_normal_extremely_hard_63 | ...7....423...5.7...5.8....4..6..1...8.....2...2..9..6....1.7...5.4...619....3... | 869721534231945678745386912493652187586174329172839456624518793358497261917263845 | sudoku_normal_extremely_hard_63 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . . 7 . . . . 4
2 3 . . . 5 . 7 .
. . 5 . 8 . . . .
4 . . 6 . . 1 . .
. 8 . . . . . 2 .
. . 2 . . 9 . . 6
. . . . 1 . 7 . .
. 5 . 4 . . . 6 1
9 . . . . 3 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 869721534231945678745386912493652187586174329172839456624518793358497261917263845 #1 Medium (458)
Hidden Triple: 1,6,7 in r9c235 => r9c25<>2, r9c23<>4, r9c3<>8, r9c5<>5
Hidden Single: r7c2=2
Hidden Single: r3c2=4
Hidden Single: r7c3=4
Hidden Single: r2c5=4
Hidden Single: r5c6=4
Hidden Single: r3c1=... | Medium |
sudoku_normal_extremely_hard_64 | ...5....31....46....2....9.6..3.2.4...8...1...9.8.1..5.5....2....79....83....7... | 769528413135794682842136597671352849528479136493861725954683271217945368386217954 | sudoku_normal_extremely_hard_64 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . . 5 . . . . 3
1 . . . . 4 6 . .
. . 2 . . . . 9 .
6 . . 3 . 2 . 4 .
. . 8 . . . 1 . .
. 9 . 8 . 1 . . 5
. 5 . . . . 2 . .
. . 7 9 . . . . 8
3 . . . . 7 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 769528413135794682842136597671352849528479136493861725954683271217945368386217954 #1 Medium (508)
Hidden Single: r4c7=8
Hidden Single: r9c7=9
Naked Pair: 2,7 in r2c49 => r2c258<>7, r2c58<>2
Hidden Pair: 1,2 in r1c58 => r1c5<>6, r1c58<>7, r1c58<>8, r1c5<>9
Hidden Single: r2c8=8
Naked Single: r2c2=3
... | Medium |
sudoku_normal_extremely_hard_65 | 6...9..2..5...4.73..1...5.....7...5.2...3...9.4...1.....6...1..47.3...9..8..5...6 | 634597821852164973791283564318749652267835419549621387926478135475316298183952746 | sudoku_normal_extremely_hard_65 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 6 . . . 9 . . 2 .
. 5 . . . 4 . 7 3
. . 1 . . . 5 . .
. . . 7 . . . 5 .
2 . . . 3 . . . 9
. 4 . . . 1 . . .
. . 6 . . . 1 . .
4 7 . 3 . . . 9 .
. 8 . . 5 . . . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 634597821852164973791283564318749652267835419549621387926478135475316298183952746 #1 Easy (254)
Naked Single: r1c2=3
Hidden Single: r1c9=1
Hidden Single: r5c8=1
Naked Single: r5c2=6
Hidden Single: r1c3=4
Naked Single: r1c7=8
Naked Single: r1c4=5
Full House: r1c6=7
Naked Single: r3c9=4
Nake... | Easy |
sudoku_normal_extremely_hard_66 | ..4.8...5.1.9..8..2......6..4.1..9..6.......4..5..7.3..2......8..7..2.1.3...6.5.. | 964783125513926847278514369742138956631259784895647231126375498457892613389461572 | sudoku_normal_extremely_hard_66 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 4 . 8 . . . 5
. 1 . 9 . . 8 . .
2 . . . . . . 6 .
. 4 . 1 . . 9 . .
6 . . . . . . . 4
. . 5 . . 7 . 3 .
. 2 . . . . . . 8
. . 7 . . 2 . 1 .
3 . . . 6 . 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 964783125513926847278514369742138956631259784895647231126375498457892613389461572 #1 Medium (338)
Naked Pair: 8,9 in r69c2 => r1358c2<>9, r358c2<>8
Hidden Single: r3c3=8
Hidden Single: r3c9=9
Hidden Single: r1c1=9
Hidden Single: r6c9=1
Naked Single: r6c1=8
Naked Single: r4c1=7
Naked Single: r6c2... | Medium |
sudoku_normal_extremely_hard_67 | ..69...73.5...4..64...628...732.8..5..1.4.2..6..3.518...418...23..5...1.21...63.. | 826951473157834926439762851973218645581647239642395187794183562368529714215476398 | sudoku_normal_extremely_hard_67 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 6 9 . . . 7 3
. 5 . . . 4 . . 6
4 . . . 6 2 8 . .
. 7 3 2 . 8 . . 5
. . 1 . 4 . 2 . .
6 . . 3 . 5 1 8 .
. . 4 1 8 . . . 2
3 . . 5 . . . 1 .
2 1 . . . 6 3 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 826951473157834926439762851973218645581647239642395187794183562368529714215476398 #1 Easy (184)
Naked Single: r4c1=9
Naked Single: r1c6=1
Naked Single: r2c7=9
Naked Single: r3c4=7
Naked Single: r4c5=1
Naked Single: r5c2=8
Naked Single: r6c3=2
Naked Single: r1c1=8
Naked Single: r1c5=5
Naked... | Easy |
sudoku_normal_extremely_hard_68 | .2..9.6....4..1..97..2...5.2..8..1......3......3..5..4.5...6..71..3..8....6.8..9. | 825493671634571289719268453267849135541732968983615724458926317192357846376184592 | sudoku_normal_extremely_hard_68 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 2 . . 9 . 6 . .
. . 4 . . 1 . . 9
7 . . 2 . . . 5 .
2 . . 8 . . 1 . .
. . . . 3 . . . .
. . 3 . . 5 . . 4
. 5 . . . 6 . . 7
1 . . 3 . . 8 . .
. . 6 . 8 . . 9 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 825493671634571289719268453267849135541732968983615724458926317192357846376184592 #1 Medium (444)
Hidden Pair: 3,8 in r13c6 => r13c6<>4, r1c6<>7
Hidden Pair: 4,7 in r1c48 => r1c4<>5, r1c8<>1, r1c8<>3, r1c8<>8
Hidden Single: r7c8=1
Hidden Single: r6c5=1
Hidden Single: r9c4=1
Hidden Single: r5c6=2
Hi... | Medium |
sudoku_normal_extremely_hard_69 | ..84...3..5..2..6.3...7..8...7.....4...5.6...1.....9...4..3...7.2..9..1..6...28.. | 278461539954823761316975482637289154492516378185347926541638297823794615769152843 | sudoku_normal_extremely_hard_69 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 8 4 . . . 3 .
. 5 . . 2 . . 6 .
3 . . . 7 . . 8 .
. . 7 . . . . . 4
. . . 5 . 6 . . .
1 . . . . . 9 . .
. 4 . . 3 . . . 7
. 2 . . 9 . . 1 .
. 6 . . . 2 8 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 278461539954823761316975482637289154492516378185347926541638297823794615769152843 #1 Easy (328)
Hidden Single: r9c8=4
Hidden Single: r1c5=6
Hidden Single: r1c2=7
Hidden Single: r8c6=4
Hidden Single: r7c8=9
Hidden Single: r4c1=6
Hidden Single: r3c3=6
Hidden Single: r9c5=5
Naked Single: r9c9=3
... | Easy |
sudoku_normal_extremely_hard_70 | ..3.9.4...5.8...1.6....2..7..2....3.1...8...6.9....5..4..1....2.7...6.8...9.5.3.. | 823791465957864213614532897782645139145983726396217548438179652571326984269458371 | sudoku_normal_extremely_hard_70 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 3 . 9 . 4 . .
. 5 . 8 . . . 1 .
6 . . . . 2 . . 7
. . 2 . . . . 3 .
1 . . . 8 . . . 6
. 9 . . . . 5 . .
4 . . 1 . . . . 2
. 7 . . . 6 . 8 .
. . 9 . 5 . 3 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 823791465957864213614532897782645139145983726396217548438179652571326984269458371 #1 Easy (314)
Hidden Single: r2c1=9
Naked Single: r2c9=3
Hidden Single: r2c7=2
Hidden Single: r2c5=6
Hidden Single: r7c7=6
Hidden Single: r1c8=6
Hidden Single: r6c3=6
Hidden Single: r9c2=6
Hidden Single: r4c4=6
... | Easy |
sudoku_normal_extremely_hard_71 | ...3.8.9.1.......2..5.1.4..8....7.3...2...7...1.9....4..1.5.8..4.......7.9.6.3... | 247368195139745682685219473854127936962534718713986524371452869426891357598673241 | sudoku_normal_extremely_hard_71 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . . 3 . 8 . 9 .
1 . . . . . . . 2
. . 5 . 1 . 4 . .
8 . . . . 7 . 3 .
. . 2 . . . 7 . .
. 1 . 9 . . . . 4
. . 1 . 5 . 8 . .
4 . . . . . . . 7
. 9 . 6 . 3 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 247368195139745682685219473854127936962534718713986524371452869426891357598673241 #1 Medium (718)
Locked Candidates Type 1 (Pointing): 5 in b2 => r2c78<>5
Locked Candidates Type 1 (Pointing): 1 in b8 => r8c78<>1
Hidden Pair: 1,5 in r1c79 => r1c79<>6
Naked Pair: 1,5 in r19c9 => r45c9<>1, r45c9<>5
Hidden P... | Medium |
sudoku_normal_extremely_hard_72 | ..1.9...59..8..1....2....3.7..9..2...4..2..7...5..1..4.2....3....8..4..76...5.8.. | 361492785954873162872516439736945218149628573285731694427189356518364927693257841 | sudoku_normal_extremely_hard_72 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 1 . 9 . . . 5
9 . . 8 . . 1 . .
. . 2 . . . . 3 .
7 . . 9 . . 2 . .
. 4 . . 2 . . 7 .
. . 5 . . 1 . . 4
. 2 . . . . 3 . .
. . 8 . . 4 . . 7
6 . . . 5 . 8 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 361492785954873162872516439736945218149628573285731694427189356518364927693257841 #1 Medium (494)
Hidden Single: r6c1=2
Hidden Single: r4c5=4
Locked Candidates Type 1 (Pointing): 4 in b9 => r12c8<>4
Hidden Single: r2c3=4
Hidden Single: r7c1=4
Hidden Single: r9c8=4
Hidden Single: r7c8=5
Hidden Si... | Medium |
sudoku_normal_extremely_hard_73 | 6...8.2....54.26.....1...5..9...8...8...4...3...3...7..4...9.....26.35....3.7...9 | 631985247785432691429167358396758412857241963214396875148529736972613584563874129 | sudoku_normal_extremely_hard_73 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 6 . . . 8 . 2 . .
. . 5 4 . 2 6 . .
. . . 1 . . . 5 .
. 9 . . . 8 . . .
8 . . . 4 . . . 3
. . . 3 . . . 7 .
. 4 . . . 9 . . .
. . 2 6 . 3 5 . .
. . 3 . 7 . . . 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 631985247785432691429167358396758412857241963214396875148529736972613584563874129 #1 Medium (754)
Naked Single: r8c5=1
Hidden Single: r9c6=4
Hidden Single: r4c1=3
Hidden Single: r8c1=9
Naked Triple: 1,5,7 in r279c1 => r3c1<>7, r6c1<>1, r6c1<>5
Locked Candidates Type 1 (Pointing): 5 in b4 => r9c2<>5
... | Medium |
sudoku_normal_extremely_hard_74 | 9..8...3......1..4..5.6.7...8......9..7.1.8..4......6...8.3.1..6..9......2...4..8 | 914827536762351984835469712186542379297613845453798261548236197671985423329174658 | sudoku_normal_extremely_hard_74 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 9 . . 8 . . . 3 .
. . . . . 1 . . 4
. . 5 . 6 . 7 . .
. 8 . . . . . . 9
. . 7 . 1 . 8 . .
4 . . . . . . 6 .
. . 8 . 3 . 1 . .
6 . . 9 . . . . .
. 2 . . . 4 . . 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 914827536762351984835469712186542379297613845453798261548236197671985423329174658 #1 Easy (412)
Hidden Single: r9c4=1
Hidden Single: r9c7=6
Hidden Single: r1c9=6
Hidden Single: r2c7=9
Hidden Single: r6c5=9
Hidden Single: r3c6=9
Hidden Single: r5c2=9
Hidden Single: r9c3=9
Hidden Single: r6c6=8... | Easy |
sudoku_normal_extremely_hard_75 | .5...2..84..1..9....7....3..2...8..1..3.4.8..5..6...7..1....5....5..3..66..7...9. | 156932748432187965897456132924378651763541829581629374319264587275893416648715293 | sudoku_normal_extremely_hard_75 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 5 . . . 2 . . 8
4 . . 1 . . 9 . .
. . 7 . . . . 3 .
. 2 . . . 8 . . 1
. . 3 . 4 . 8 . .
5 . . 6 . . . 7 .
. 1 . . . . 5 . .
. . 5 . . 3 . . 6
6 . . 7 . . . 9 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 156932748432187965897456132924378651763541829581629374319264587275893416648715293 #1 Medium (624)
Hidden Pair: 3,7 in r7c19 => r7c19<>2, r7c1<>8, r7c1<>9, r7c9<>4
Hidden Pair: 2,8 in r38c1 => r3c1<>1, r38c1<>9, r8c1<>7
Hidden Single: r3c7=1
Hidden Single: r8c8=1
Hidden Single: r7c8=8
Hidden Pair: 1,5 ... | Medium |
sudoku_normal_extremely_hard_76 | 7.9..2......1..7..3.6.8..1..3.4.9..8..7...4..5..6.1.9..9..6.1.4..1..4......5..6.9 | 719342856258196743346785912132479568967853421584621397895267134671934285423518679 | sudoku_normal_extremely_hard_76 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 7 . 9 . . 2 . . .
. . . 1 . . 7 . .
3 . 6 . 8 . . 1 .
. 3 . 4 . 9 . . 8
. . 7 . . . 4 . .
5 . . 6 . 1 . 9 .
. 9 . . 6 . 1 . 4
. . 1 . . 4 . . .
. . . 5 . . 6 . 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 719342856258196743346785912132479568967853421584621397895267134671934285423518679 #1 Easy (332)
Naked Single: r4c3=2
Naked Single: r1c4=3
Naked Single: r4c7=5
Naked Single: r1c7=8
Naked Single: r4c5=7
Naked Single: r4c8=6
Full House: r4c1=1
Hidden Single: r1c2=1
Hidden Single: r5c1=9
Hidde... | Easy |
sudoku_normal_extremely_hard_77 | ..3..4.5.2..6....8.9..5.6..7.4....6....9.2....1....5.3..1.7..8.4....1..2.7.4..9.. | 863294157245617398197358624784135269536942871912786543321579486459861732678423915 | sudoku_normal_extremely_hard_77 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 3 . . 4 . 5 .
2 . . 6 . . . . 8
. 9 . . 5 . 6 . .
7 . 4 . . . . 6 .
. . . 9 . 2 . . .
. 1 . . . . 5 . 3
. . 1 . 7 . . 8 .
4 . . . . 1 . . 2
. 7 . 4 . . 9 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 863294157245617398197358624784135269536942871912786543321579486459861732678423915 #1 Easy (410)
Hidden Single: r2c2=4
Hidden Single: r4c9=9
Hidden Single: r2c3=5
Hidden Single: r1c5=9
Hidden Single: r2c8=9
Hidden Single: r3c3=7
Hidden Single: r7c6=9
Hidden Single: r8c3=9
Hidden Single: r9c5=2... | Easy |
sudoku_normal_extremely_hard_78 | .7.4....3..3.8.2..5....1.6..9.2.......4...8.......9.5..6.9....4..2.1.7..4....6.1. | 679452183143687295528391467896275341254163879317849652761938524982514736435726918 | sudoku_normal_extremely_hard_78 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 7 . 4 . . . . 3
. . 3 . 8 . 2 . .
5 . . . . 1 . 6 .
. 9 . 2 . . . . .
. . 4 . . . 8 . .
. . . . . 9 . 5 .
. 6 . 9 . . . . 4
. . 2 . 1 . 7 . .
4 . . . . 6 . 1 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 679452183143687295528391467896275341254163879317849652761938524982514736435726918 #1 Hard (558)
Hidden Single: r8c6=4
Hidden Single: r8c9=6
Hidden Pair: 1,5 in r1c7,r2c9 => r1c7,r2c9<>9, r2c9<>7
X-Wing: 9 r28 c18 => r1c18,r5c8<>9
Naked Single: r1c8=8
Hidden Single: r5c9=9
Naked Single: r3c9=7
Na... | Hard |
sudoku_normal_extremely_hard_79 | 42......6..93....5....12.9...3....1...8.2.7...5....3...9.63....2....96..1......48 | 421795836879364125365812497743986512918523764652471389594638271287149653136257948 | sudoku_normal_extremely_hard_79 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 4 2 . . . . . . 6
. . 9 3 . . . . 5
. . . . 1 2 . 9 .
. . 3 . . . . 1 .
. . 8 . 2 . 7 . .
. 5 . . . . 3 . .
. 9 . 6 3 . . . .
2 . . . . 9 6 . .
1 . . . . . . 4 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 421795836879364125365812497743986512918523764652471389594638271287149653136257948 #1 Easy (334)
Hidden Single: r1c8=3
Hidden Single: r5c6=3
Hidden Single: r6c3=2
Hidden Single: r9c4=2
Hidden Single: r3c1=3
Hidden Single: r9c2=3
Hidden Single: r9c7=9
Hidden Single: r8c9=3
Hidden Single: r1c3=1... | Easy |
sudoku_normal_extremely_hard_80 | .1..6..7...5..28..2..1.....5..6..3...8..7..9...3..5..4.....4..9..78..2...9..3..1. | 914368572765492831238157946579641328486273195123985764351724689647819253892536417 | sudoku_normal_extremely_hard_80 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 1 . . 6 . . 7 .
. . 5 . . 2 8 . .
2 . . 1 . . . . .
5 . . 6 . . 3 . .
. 8 . . 7 . . 9 .
. . 3 . . 5 . . 4
. . . . . 4 . . 9
. . 7 8 . . 2 . .
. 9 . . 3 . . 1 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 914368572765492831238157946579641328486273195123985764351724689647819253892536417 #1 Hard (664)
Hidden Single: r1c9=2
Hidden Single: r2c9=1
Naked Triple: 3,5,6 in r358c9 => r9c9<>5, r9c9<>6
X-Wing: 2 r59 c34 => r47c3,r67c4<>2
Naked Single: r6c4=9
Hidden Single: r4c3=9
Locked Candidates Type 2 (Clai... | Hard |
sudoku_normal_extremely_hard_81 | .5..7...19..8..3...6...4....8....6..5..3.1..2..4....5....4...2...1..9..73...6..8. | 458973261912856374763214598289745613576391842134628759895437126621589437347162985 | sudoku_normal_extremely_hard_81 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 5 . . 7 . . . 1
9 . . 8 . . 3 . .
. 6 . . . 4 . . .
. 8 . . . . 6 . .
5 . . 3 . 1 . . 2
. . 4 . . . . 5 .
. . . 4 . . . 2 .
. . 1 . . 9 . . 7
3 . . . 6 . . 8 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 458973261912856374763214598289745613576391842134628759895437126621589437347162985 #1 Easy (348)
Hidden Single: r6c2=3
Hidden Single: r5c3=6
Hidden Single: r4c8=1
Hidden Single: r2c2=1
Hidden Single: r6c1=1
Hidden Single: r4c9=3
Hidden Single: r8c8=3
Hidden Single: r1c1=4
Hidden Single: r4c5=4... | Easy |
sudoku_normal_extremely_hard_82 | 6....2.....1.5..83.5.7.....9....67...8..1..3...49....5.....4.1.34..8.2.....2....6 | 698132574721459683453768192935846721286517439174923865562374918349681257817295346 | sudoku_normal_extremely_hard_82 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 6 . . . . 2 . . .
. . 1 . 5 . . 8 3
. 5 . 7 . . . . .
9 . . . . 6 7 . .
. 8 . . 1 . . 3 .
. . 4 9 . . . . 5
. . . . . 4 . 1 .
3 4 . . 8 . 2 . .
. . . 2 . . . . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 698132574721459683453768192935846721286517439174923865562374918349681257817295346 #1 Medium (874)
Naked Single: r2c6=9
Locked Candidates Type 1 (Pointing): 2 in b3 => r3c13<>2
Locked Candidates Type 1 (Pointing): 7 in b3 => r1c23<>7
Locked Candidates Type 1 (Pointing): 1 in b7 => r9c6<>1
Naked Pair: 4,6 ... | Medium |
sudoku_normal_extremely_hard_83 | 2..3...6...9.1...2.17..89..8..4..7...3.....2...2..6..4..42..13.5...7.4...6...9..8 | 248397561359614872617528943896432715435781629172956384984265137521873496763149258 | sudoku_normal_extremely_hard_83 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 2 . . 3 . . . 6 .
. . 9 . 1 . . . 2
. 1 7 . . 8 9 . .
8 . . 4 . . 7 . .
. 3 . . . . . 2 .
. . 2 . . 6 . . 4
. . 4 2 . . 1 3 .
5 . . . 7 . 4 . .
. 6 . . . 9 . . 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 248397561359614872617528943896432715435781629172956384984265137521873496763149258 #1 Easy (212)
Naked Single: r7c6=5
Naked Single: r8c8=9
Naked Single: r9c4=1
Naked Single: r8c9=6
Naked Single: r8c6=3
Naked Single: r9c3=3
Naked Single: r7c9=7
Naked Single: r8c4=8
Naked Single: r9c5=4
Full ... | Easy |
sudoku_normal_extremely_hard_84 | ..9.5.1.......9..28..6...3..7...4..6..5.9.3..2..3...1..4...8..76..2.......8.4.5.. | 429753168316489752857621439973514286165892374284367915542138697691275843738946521 | sudoku_normal_extremely_hard_84 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 9 . 5 . 1 . .
. . . . . 9 . . 2
8 . . 6 . . . 3 .
. 7 . . . 4 . . 6
. . 5 . 9 . 3 . .
2 . . 3 . . . 1 .
. 4 . . . 8 . . 7
6 . . 2 . . . . .
. . 8 . 4 . 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 429753168316489752857621439973514286165892374284367915542138697691275843738946521 #1 Medium (544)
Naked Pair: 4,8 in r15c9 => r368c9<>4, r68c9<>8
Naked Pair: 5,9 in r36c9 => r89c9<>9
Naked Triple: 2,6,9 in r7c78,r9c8 => r8c78<>9
Hidden Single: r8c2=9
Hidden Single: r4c1=9
Hidden Single: r8c6=5
Hidd... | Medium |
sudoku_normal_extremely_hard_85 | 4..7...2...8...3...6..59..7..43...9.5...8...3.3...14..6..19..7...5...6...7...2..1 | 451738926798216354362459187184367295526984713937521468643195872215873649879642531 | sudoku_normal_extremely_hard_85 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 4 . . 7 . . . 2 .
. . 8 . . . 3 . .
. 6 . . 5 9 . . 7
. . 4 3 . . . 9 .
5 . . . 8 . . . 3
. 3 . . . 1 4 . .
6 . . 1 9 . . 7 .
. . 5 . . . 6 . .
. 7 . . . 2 . . 1 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 451738926798216354362459187184367295526984713937521468643195872215873649879642531 #1 Medium (566)
Hidden Single: r2c1=7
Locked Candidates Type 1 (Pointing): 3 in b2 => r1c3<>3
Hidden Pair: 6,7 in r56c3 => r5c3<>1, r56c3<>2, r56c3<>9
Locked Candidates Type 2 (Claiming): 1 in c3 => r12c2,r3c1<>1
Hidden Tri... | Medium |
sudoku_normal_extremely_hard_86 | ..6..2..1...5..3..9..4...2..3..28.76..8.9.5..16.73..9..2...9..4..5..6...4..8..1.. | 356982741742561389981473625539128476278694513164735298627319854815246937493857162 | sudoku_normal_extremely_hard_86 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 6 . . 2 . . 1
. . . 5 . . 3 . .
9 . . 4 . . . 2 .
. 3 . . 2 8 . 7 6
. . 8 . 9 . 5 . .
1 6 . 7 3 . . 9 .
. 2 . . . 9 . . 4
. . 5 . . 6 . . .
4 . . 8 . . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 356982741742561389981473625539128476278694513164735298627319854815246937493857162 #1 Easy (208)
Naked Single: r4c4=1
Naked Single: r4c1=5
Naked Single: r4c7=4
Full House: r4c3=9
Naked Single: r5c4=6
Naked Single: r5c6=4
Full House: r6c6=5
Naked Single: r7c4=3
Naked Single: r5c2=7
Naked Sin... | Easy |
sudoku_normal_extremely_hard_87 | .3.2..6..1....5.3...5.7...86..1...2...3...9...9...8..48...5.7...5.6....1..2..4.9. | 438291657176485239925376148647139825583742916291568374814953762359627481762814593 | sudoku_normal_extremely_hard_87 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 3 . 2 . . 6 . .
1 . . . . 5 . 3 .
. . 5 . 7 . . . 8
6 . . 1 . . . 2 .
. . 3 . . . 9 . .
. 9 . . . 8 . . 4
8 . . . 5 . 7 . .
. 5 . 6 . . . . 1
. . 2 . . 4 . 9 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 438291657176485239925376148647139825583742916291568374814953762359627481762814593 #1 Medium (470)
Locked Candidates Type 2 (Claiming): 5 in r4 => r5c89,r6c78<>5
Hidden Single: r1c8=5
Locked Candidates Type 1 (Pointing): 1 in b3 => r3c6<>1
Locked Candidates Type 1 (Pointing): 7 in b3 => r45c9<>7
Naked Sin... | Medium |
sudoku_normal_extremely_hard_88 | ..9.6.5...1...5.7.5..4....3.8....9.....1.7.....4....6.1....8..5.7.9...8...3.2.4.. | 329761548418235679567489123781643952652197834934852761146378295275914386893526417 | sudoku_normal_extremely_hard_88 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 9 . 6 . 5 . .
. 1 . . . 5 . 7 .
5 . . 4 . . . . 3
. 8 . . . . 9 . .
. . . 1 . 7 . . .
. . 4 . . . . 6 .
1 . . . . 8 . . 5
. 7 . 9 . . . 8 .
. . 3 . 2 . 4 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 329761548418235679567489123781643952652197834934852761146378295275914386893526417 #1 Easy (368)
Hidden Single: r4c3=1
Hidden Single: r9c1=8
Hidden Single: r3c3=7
Hidden Single: r1c4=7
Hidden Single: r7c5=7
Hidden Single: r2c3=8
Hidden Single: r9c9=7
Hidden Single: r1c9=8
Hidden Single: r6c7=7... | Easy |
sudoku_normal_extremely_hard_89 | .4.5..1..2.......3..8.3..2.9..1....6.8..5..7.6....4..1.9..8.3..4.......9..2..5.6. | 347526198269841753518739624923178546184653972675294831796482315451367289832915467 | sudoku_normal_extremely_hard_89 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 4 . 5 . . 1 . .
2 . . . . . . . 3
. . 8 . 3 . . 2 .
9 . . 1 . . . . 6
. 8 . . 5 . . 7 .
6 . . . . 4 . . 1
. 9 . . 8 . 3 . .
4 . . . . . . . 9
. . 2 . . 5 . 6 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 347526198269841753518739624923178546184653972675294831796482315451367289832915467 #1 Medium (304)
Hidden Single: r9c1=8
Hidden Single: r1c9=8
Naked Single: r1c8=9
Hidden Single: r2c3=9
Locked Pair: 4,7 in r9c79 => r7c9,r8c7,r9c245<>7, r7c89,r9c45<>4
Hidden Single: r2c5=4
Naked Single: r2c8=5
Nak... | Medium |
sudoku_normal_extremely_hard_90 | ...62...9..7..5....1....4..5..4...8.3...8...2.9...1..6..5....9....7..1..2...63... | 853624719467915238912378465526497381341586972798231546135842697684759123279163854 | sudoku_normal_extremely_hard_90 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . . 6 2 . . . 9
. . 7 . . 5 . . .
. 1 . . . . 4 . .
5 . . 4 . . . 8 .
3 . . . 8 . . . 2
. 9 . . . 1 . . 6
. . 5 . . . . 9 .
. . . 7 . . 1 . .
2 . . . 6 3 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 853624719467915238912378465526497381341586972798231546135842697684759123279163854 #1 Easy (332)
Hidden Single: r1c2=5
Hidden Single: r1c8=1
Hidden Single: r7c1=1
Naked Single: r7c5=4
Hidden Single: r4c9=1
Hidden Single: r5c3=1
Hidden Single: r2c5=1
Hidden Single: r9c4=1
Hidden Single: r6c1=7
... | Easy |
sudoku_normal_extremely_hard_91 | .5...7..3..7.4.2..1..6...8...61......2.....5......86...7...4..9..3.2.4..8..9...1. | 659287143387541296142639587496152738728463951531798624275314869913826475864975312 | sudoku_normal_extremely_hard_91 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 5 . . . 7 . . 3
. . 7 . 4 . 2 . .
1 . . 6 . . . 8 .
. . 6 1 . . . . .
. 2 . . . . . 5 .
. . . . . 8 6 . .
. 7 . . . 4 . . 9
. . 3 . 2 . 4 . .
8 . . 9 . . . 1 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 659287143387541296142639587496152738728463951531798624275314869913826475864975312 #1 Hard (438)
Hidden Pair: 1,8 in r17c5 => r1c5<>9, r7c5<>3, r7c5<>5, r7c5<>6
X-Wing: 6 r17 c18 => r2c18,r8c18<>6
Naked Single: r2c8=9
Naked Single: r8c8=7
Naked Single: r1c7=1
Naked Single: r2c1=3
Naked Single: r1c5=... | Hard |
sudoku_normal_extremely_hard_92 | ..8.5...4.1...4.7.7..2..1...3...6..2..5...9..6..3...8...4..9..1.9.8...4.2...6.7.. | 968157324512634879743298156437986512185742963629315487874529631396871245251463798 | sudoku_normal_extremely_hard_92 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 8 . 5 . . . 4
. 1 . . . 4 . 7 .
7 . . 2 . . 1 . .
. 3 . . . 6 . . 2
. . 5 . . . 9 . .
6 . . 3 . . . 8 .
. . 4 . . 9 . . 1
. 9 . 8 . . . 4 .
2 . . . 6 . 7 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 968157324512634879743298156437986512185742963629315487874529631396871245251463798 #1 Medium (340)
Hidden Single: r3c2=4
Hidden Single: r9c4=4
Hidden Single: r2c1=5
Locked Pair: 4,5 in r46c7 => r4c8,r6c9,r78c7<>5
Naked Single: r4c8=1
Naked Single: r6c9=7
Naked Single: r6c2=2
Naked Single: r1c2=6
... | Medium |
sudoku_normal_extremely_hard_93 | .2......55....14....7.4..6..8.9.6...1...5...2...1.2.9..9..3.8....47....36......1. | 426897135538261479917345268382976541169453782745182396291634857854719623673528914 | sudoku_normal_extremely_hard_93 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 2 . . . . . . 5
5 . . . . 1 4 . .
. . 7 . 4 . . 6 .
. 8 . 9 . 6 . . .
1 . . . 5 . . . 2
. . . 1 . 2 . 9 .
. 9 . . 3 . 8 . .
. . 4 7 . . . . 3
6 . . . . . . 1 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 426897135538261479917345268382976541169453782745182396291634857854719623673528914 #1 Easy (284)
Naked Single: r4c5=7
Naked Single: r6c5=8
Hidden Single: r5c3=9
Hidden Single: r1c1=4
Hidden Single: r7c3=1
Naked Single: r8c2=5
Naked Single: r8c8=2
Naked Single: r8c1=8
Naked Single: r8c6=9
Na... | Easy |
sudoku_normal_extremely_hard_94 | ..1.8..2...2..1....7...9..4.2.5..1..8...6...9..6..2.4.3..4...6....2..4...9..3.7.. | 961784325482351697573629814729548136845163279136972548358417962617295483294836751 | sudoku_normal_extremely_hard_94 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 1 . 8 . . 2 .
. . 2 . . 1 . . .
. 7 . . . 9 . . 4
. 2 . 5 . . 1 . .
8 . . . 6 . . . 9
. . 6 . . 2 . 4 .
3 . . 4 . . . 6 .
. . . 2 . . 4 . .
. 9 . . 3 . 7 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 961784325482351697573629814729548136845163279136972548358417962617295483294836751 #1 Easy (364)
Hidden Single: r3c8=1
Hidden Single: r5c7=2
Hidden Single: r4c9=6
Hidden Single: r3c5=2
Hidden Single: r9c1=2
Hidden Single: r4c3=9
Hidden Single: r6c4=9
Hidden Single: r7c9=2
Hidden Single: r9c3=4... | Easy |
sudoku_normal_extremely_hard_95 | 3....8.7.....6.4.9.1.5.....4....91...7.....4...26....3.....1.6.6.8.5.....5.8....2 | 396428571527163489814597236465389127973215648182674953249731865638952714751846392 | sudoku_normal_extremely_hard_95 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 3 . . . . 8 . 7 .
. . . . 6 . 4 . 9
. 1 . 5 . . . . .
4 . . . . 9 1 . .
. 7 . . . . . 4 .
. . 2 6 . . . . 3
. . . . . 1 . 6 .
6 . 8 . 5 . . . .
. 5 . 8 . . . . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 396428571527163489814597236465389127973215648182674953249731865638952714751846392 #1 Medium (528)
Hidden Single: r9c6=6
Locked Candidates Type 1 (Pointing): 1 in b7 => r9c8<>1
Naked Triple: 3,7,9 in r89c7,r9c8 => r7c7,r8c8<>3, r7c79,r8c9<>7, r7c7,r8c8<>9
Naked Single: r8c8=1
Naked Single: r8c9=4
Hidde... | Medium |
sudoku_normal_extremely_hard_96 | .2...6..1...7..3..1.9.3..8..4.8....9..3...5..7....5.2..5..2.4.6..1..9...6..5...3. | 328956741564781392179432685245863179813297564796145823957328416431679258682514937 | sudoku_normal_extremely_hard_96 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 2 . . . 6 . . 1
. . . 7 . . 3 . .
1 . 9 . 3 . . 8 .
. 4 . 8 . . . . 9
. . 3 . . . 5 . .
7 . . . . 5 . 2 .
. 5 . . 2 . 4 . 6
. . 1 . . 9 . . .
6 . . 5 . . . 3 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 328956741564781392179432685245863179813297564796145823957328416431679258682514937 #1 Medium (330)
Hidden Single: r1c1=3
Hidden Single: r3c9=5
Hidden Single: r4c6=3
Hidden Single: r6c9=3
Hidden Single: r8c2=3
Hidden Single: r8c8=5
Hidden Single: r7c4=3
Locked Pair: 2,4 in r3c46 => r2c6,r3c7<>2, r... | Medium |
sudoku_normal_extremely_hard_97 | 9..4.2..3..2....9..7..1......6..7.1..3..5..6..1.6..8......7..8..6....4..7..3.4..9 | 958462173142783596673915248426837915839251764517649832294576381365198427781324659 | sudoku_normal_extremely_hard_97 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | 9 . . 4 . 2 . . 3
. . 2 . . . . 9 .
. 7 . . 1 . . . .
. . 6 . . 7 . 1 .
. 3 . . 5 . . 6 .
. 1 . 6 . . 8 . .
. . . . 7 . . 8 .
. 6 . . . . 4 . .
7 . . 3 . 4 . . 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 958462173142783596673915248426837915839251764517649832294576381365198427781324659 #1 Hard (534)
Hidden Single: r2c4=7
X-Wing: 1 r19 c37 => r27c7,r78c3<>1
X-Wing: 6 r19 c57 => r2c57,r37c7<>6
Naked Single: r2c7=5
Naked Single: r1c8=7
Naked Single: r3c7=2
Naked Single: r3c8=4
Naked Single: r7c7=3
... | Hard |
sudoku_normal_extremely_hard_98 | ..2..48...6.....1.1..9....3..5..6..9.3..1..4.4..8..5..2....3..4.9.....6...82..7.. | 372154896569328417184967253815746329937512648426839571251673984793485162648291735 | sudoku_normal_extremely_hard_98 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . . 2 . . 4 8 . .
. 6 . . . . . 1 .
1 . . 9 . . . . 3
. . 5 . . 6 . . 9
. 3 . . 1 . . 4 .
4 . . 8 . . 5 . .
2 . . . . 3 . . 4
. 9 . . . . . 6 .
. . 8 2 . . 7 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 372154896569328417184967253815746329937512648426839571251673984793485162648291735 #1 Easy (404)
Hidden Single: r1c4=1
Hidden Single: r7c4=6
Hidden Single: r9c1=6
Hidden Single: r9c8=3
Hidden Single: r6c5=3
Hidden Single: r4c7=3
Hidden Single: r1c1=3
Hidden Single: r2c4=3
Hidden Single: r4c2=1... | Easy |
sudoku_normal_extremely_hard_99 | .3..7..2...4..6..85..8..9...6..1...3..9...1..1...2..7...5..4..62..1..8...7..9..4. | 638971524914256738527843961762519483489367152153428679395784216246135897871692345 | sudoku_normal_extremely_hard_99 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
" | None | 9 | 9 | . 3 . . 7 . . 2 .
. . 4 . . 6 . . 8
5 . . 8 . . 9 . .
. 6 . . 1 . . . 3
. . 9 . . . 1 . .
1 . . . 2 . . 7 .
. . 5 . . 4 . . 6
2 . . 1 . . 8 . .
. 7 . . 9 . . 4 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 638971524914256738527843961762519483489367152153428679395784216246135897871692345 #1 Medium (640)
Hidden Single: r8c2=4
Locked Candidates Type 1 (Pointing): 9 in b7 => r7c8<>9
Hidden Pair: 2,7 in r7c47 => r7c47<>3
Hidden Pair: 2,7 in r34c3 => r3c3<>1, r3c3<>6, r4c3<>8
Hidden Single: r3c8=6
Hidden Sing... | Medium |
sudoku_normal_extremely_hard_100 | ....5..16.2...9...1.54..9..4.9.......5.14........7..355...9.7...8......12....1... | 394857216628319547175426983439685172752143698861972435513298764987564321246731859 | sudoku_normal_extremely_hard_100 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . 5 . . 1 6
. 2 . . . 9 . . .
1 . 5 4 . . 9 . .
4 . 9 . . . . . .
. 5 . 1 4 . . . .
. . . . 7 . . 3 5
5 . . . 9 . 7 . .
. 8 . . . . . . 1
2 . . . . 1 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 394857216628319547175426983439685172752143698861972435513298764987564321246731859 #1 Extreme (31972) bf
Hidden Single: r2c5=1
Hidden Single: r6c4=9
Hidden Single: r6c7=4
Hidden Single: r4c7=1
Locked Candidates Type 1 (Pointing): 4 in b3 => r2c3<>4
Hidden Rectangle: 1/6 in r6c23,r7c23 => r7c3<>6
Bru... | Extreme |
sudoku_normal_extremely_hard_101 | ..1..7..2....1..5.9..3..1...956.3...6.........83.526...4......1..9..4.7.5..8..9.. | 851967432436218759972345168795683214624179385183452697348796521219534876567821943 | sudoku_normal_extremely_hard_101 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 1 . . 7 . . 2
. . . . 1 . . 5 .
9 . . 3 . . 1 . .
. 9 5 6 . 3 . . .
6 . . . . . . . .
. 8 3 . 5 2 6 . .
. 4 . . . . . . 1
. . 9 . . 4 . 7 .
5 . . 8 . . 9 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 851967432436218759972345168795683214624179385183452697348796521219534876567821943 #1 Extreme (23442) bf
Brute Force: r5c5=7
Hidden Single: r7c4=7
Locked Candidates Type 1 (Pointing): 7 in b4 => r2c1<>7
Forcing Net Contradiction in r3 => r4c8<>8
r4c8=8 r4c8<>1 r4c1=1 r5c2<>1 r5c2=2 r5c3<>2 r5c3=4 r3c3<>4
... | Extreme |
sudoku_normal_extremely_hard_102 | 7....8..3..5....6....65..1.3....4..8..7....2..2..1.3...48..97..9.........73.....9 | 716298543835471962492653817369524178187936425524817396248369751951782634673145289 | sudoku_normal_extremely_hard_102 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 7 . . . . 8 . . 3
. . 5 . . . . 6 .
. . . 6 5 . . 1 .
3 . . . . 4 . . 8
. . 7 . . . . 2 .
. 2 . . 1 . 3 . .
. 4 8 . . 9 7 . .
9 . . . . . . . .
. 7 3 . . . . . 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 716298543835471962492653817369524178187936425524817396248369751951782634673145289 #1 Extreme (39912) bf
Locked Candidates Type 1 (Pointing): 7 in b3 => r6c9<>7
Locked Candidates Type 1 (Pointing): 8 in b3 => r89c7<>8
Brute Force: r5c5=3
Locked Candidates Type 1 (Pointing): 8 in b5 => r89c4<>8
Brute Force... | Extreme |
sudoku_normal_extremely_hard_103 | .....4..2..81...3..7..6.9..5....92............6..3...4.3..7.5....18.....4....3.2. | 153794862698125437274368951517649283349281675862537194936472518721856349485913726 | sudoku_normal_extremely_hard_103 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . . 4 . . 2
. . 8 1 . . . 3 .
. 7 . . 6 . 9 . .
5 . . . . 9 2 . .
. . . . . . . . .
. 6 . . 3 . . . 4
. 3 . . 7 . 5 . .
. . 1 8 . . . . .
4 . . . . 3 . 2 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 153794862698125437274368951517649283349281675862537194936472518721856349485913726 #1 Extreme (24512) bf
AIC: 3/4 4- r3c3 =4= r3c8 -4- r2c7 =4= r8c7 =3= r8c9 -3- r4c9 =3= r4c3 -3 => r3c3<>3, r4c3<>4
Brute Force: r5c5=8
Hidden Single: r3c6=8
Finned X-Wing: 8 c29 r49 fr7c9 => r9c7<>8
Forcing Net Contradicti... | Extreme |
sudoku_normal_extremely_hard_104 | 7..4...9..5.7.82....2.5....5...8.7....36....1.1.......2...4.9.....5.3....45....6. | 786432195159768234432159678564381729923674581817295346271846953698523417345917862 | sudoku_normal_extremely_hard_104 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 7 . . 4 . . . 9 .
. 5 . 7 . 8 2 . .
. . 2 . 5 . . . .
5 . . . 8 . 7 . .
. . 3 6 . . . . 1
. 1 . . . . . . .
2 . . . 4 . 9 . .
. . . 5 . 3 . . .
. 4 5 . . . . 6 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 786432195159768234432159678564381729923674581817295346271846953698523417345917862 #1 Extreme (39004) bf
Brute Force: r5c7=5
Hidden Single: r1c9=5
Hidden Single: r6c6=5
Hidden Single: r7c8=5
Brute Force: r5c6=4
Locked Candidates Type 1 (Pointing): 7 in b5 => r89c5<>7
Discontinuous Nice Loop: 9 r4c2 ... | Extreme |
sudoku_normal_extremely_hard_105 | 7....5..3..24...1..1....5....79...51....8...6.612...9.17...9.4...9......42.7..... | 794615283532478619816392574287946351945183726361257498173569842659824137428731965 | sudoku_normal_extremely_hard_105 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 7 . . . . 5 . . 3
. . 2 4 . . . 1 .
. 1 . . . . 5 . .
. . 7 9 . . . 5 1
. . . . 8 . . . 6
. 6 1 2 . . . 9 .
1 7 . . . 9 . 4 .
. . 9 . . . . . .
4 2 . 7 . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 794615283532478619816392574287946351945183726361257498173569842659824137428731965 #1 Extreme (20538) bf
Finned X-Wing: 2 c69 r38 fr7c9 => r8c78<>2
Brute Force: r5c4=1
Hidden Single: r1c5=1
Hidden Single: r6c5=5
Locked Candidates Type 1 (Pointing): 2 in b2 => r3c89<>2
Locked Candidates Type 1 (Pointing... | Extreme |
sudoku_normal_extremely_hard_106 | 7...816.........51.9.........9.47...2..6..4...4..28..39...74.3..1.....4.4....68.. | 753481692824963751691752384569347128238619475147528963982174536316895247475236819 | sudoku_normal_extremely_hard_106 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 7 . . . 8 1 6 . .
. . . . . . . 5 1
. 9 . . . . . . .
. . 9 . 4 7 . . .
2 . . 6 . . 4 . .
. 4 . . 2 8 . . 3
9 . . . 7 4 . 3 .
. 1 . . . . . 4 .
4 . . . . 6 8 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 753481692824963751691752384569347128238619475147528963982174536316895247475236819 #1 Extreme (30012) bf
Locked Candidates Type 1 (Pointing): 8 in b3 => r3c13<>8
Locked Candidates Type 1 (Pointing): 6 in b9 => r4c9<>6
Brute Force: r5c3=8
Brute Force: r5c5=1
Grouped Discontinuous Nice Loop: 5 r3c3 -5- r1c2... | Extreme |
sudoku_normal_extremely_hard_107 | .....2.6..1..5.4..2..7......6..2.8.4.......39.5..896..4.1.6..8..8.......6.5...1.. | 574192368819653427236748915967321854148576239352489671421965783783214596695837142 | sudoku_normal_extremely_hard_107 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . . 2 . 6 .
. 1 . . 5 . 4 . .
2 . . 7 . . . . .
. 6 . . 2 . 8 . 4
. . . . . . . 3 9
. 5 . . 8 9 6 . .
4 . 1 . 6 . . 8 .
. 8 . . . . . . .
6 . 5 . . . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 574192368819653427236748915967321854148576239352489671421965783783214596695837142 #1 Extreme (21512) bf
Hidden Single: r8c9=6
Hidden Single: r1c1=5
Brute Force: r5c4=5
Hidden Single: r4c8=5
Hidden Single: r5c6=6
Hidden Single: r2c4=6
Hidden Single: r3c3=6
Locked Candidates Type 1 (Pointing): 1 i... | Extreme |
sudoku_normal_extremely_hard_108 | ...6...7...4...9...3..8...2....7..5...8.4...1.....6.9..423......13..5...8...1...3 | 289634175674251938135987462421879356968543721357126894542398617713465289896712543 | sudoku_normal_extremely_hard_108 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . 6 . . . 7 .
. . 4 . . . 9 . .
. 3 . . 8 . . . 2
. . . . 7 . . 5 .
. . 8 . 4 . . . 1
. . . . . 6 . 9 .
. 4 2 3 . . . . .
. 1 3 . . 5 . . .
8 . . . 1 . . . 3 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 289634175674251938135987462421879356968543721357126894542398617713465289896712543 #1 Extreme (26340) bf
Forcing Net Contradiction in r3 => r7c9<>6
r7c9=6 (r7c1<>6) (r7c5<>6 r7c5=9 r7c1<>9) (r7c5<>6 r8c5=6 r8c1<>6) r7c9<>9 r8c9=9 r8c1<>9 r8c1=7 r7c1<>7 r7c1=5 r3c1<>5
r7c9=6 (r7c9<>7) r7c9<>9 r8c9=9 (r8c1<>9 r8c1=... | Extreme |
sudoku_normal_extremely_hard_109 | ..8.5..1.4..1....2.1...63...4.......2...4..7...79....8.....36....4.9..2.5..7....9 | 368254917475139862912876354843567291291348576657921438729413685184695723536782149 | sudoku_normal_extremely_hard_109 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 8 . 5 . . 1 .
4 . . 1 . . . . 2
. 1 . . . 6 3 . .
. 4 . . . . . . .
2 . . . 4 . . 7 .
. . 7 9 . . . . 8
. . . . . 3 6 . .
. . 4 . 9 . . 2 .
5 . . 7 . . . . 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 368254917475139862912876354843567291291348576657921438729413685184695723536782149 #1 Extreme (20530) bf
Brute Force: r5c4=3
Hidden Single: r2c5=3
Skyscraper: 3 in r8c9,r9c3 (connected by r4c39) => r8c12,r9c8<>3
Hidden Single: r8c9=3
Grouped AIC: 8/9 9- r2c6 =9= r1c6 =4= r9c6 -4- r9c8 -8- r89c7 =8= r2c7 -... | Extreme |
sudoku_normal_extremely_hard_110 | 71.9..6......1...22.46...9..2.4....5....72..3..7...4..6..2........7.1.464.1..9..7 | 718925634963814572254637198129483765546172983837596421675248319392751846481369257 | sudoku_normal_extremely_hard_110 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 7 1 . 9 . . 6 . .
. . . . 1 . . . 2
2 . 4 6 . . . 9 .
. 2 . 4 . . . . 5
. . . . 7 2 . . 3
. . 7 . . . 4 . .
6 . . 2 . . . . .
. . . 7 . 1 . 4 6
4 . 1 . . 9 . . 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 718925634963814572254637198129483765546172983837596421675248319392751846481369257 #1 Extreme (21124) bf
Hidden Single: r1c5=2
Hidden Single: r6c8=2
Hidden Single: r2c6=4
Hidden Single: r1c9=4
Hidden Single: r5c2=4
Hidden Single: r8c3=2
Hidden Single: r9c5=6
Hidden Single: r7c2=7
Hidden Single... | Extreme |
sudoku_normal_extremely_hard_111 | 7....9..69.5..2..4.1..3.....5.........78...2.2....5..7.2...476...49....26.....4.. | 783549216965182374412637598856723941347891625291465837128354769534976182679218453 | sudoku_normal_extremely_hard_111 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 7 . . . . 9 . . 6
9 . 5 . . 2 . . 4
. 1 . . 3 . . . .
. 5 . . . . . . .
. . 7 8 . . . 2 .
2 . . . . 5 . . 7
. 2 . . . 4 7 6 .
. . 4 9 . . . . 2
6 . . . . . 4 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 783549216965182374412637598856723941347891625291465837128354769534976182679218453 #1 Extreme (45378) bf
Brute Force: r5c5=9
Locked Candidates Type 2 (Claiming): 4 in r5 => r4c1,r6c2<>4
Brute Force: r5c2=4
Hidden Single: r3c1=4
Forcing Net Contradiction in r3c6 => r2c5<>6
r2c5=6 r3c6<>6
r2c5=6 (r2c4<>... | Extreme |
sudoku_normal_extremely_hard_112 | .2......8..4....9.5..1..2.....5......52.816..1...62....9..73.6.6.....9..2..6..8.7 | 721936458364825791589147236876594312952381674143762589498273165617458923235619847 | sudoku_normal_extremely_hard_112 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 2 . . . . . . 8
. . 4 . . . . 9 .
5 . . 1 . . 2 . .
. . . 5 . . . . .
. 5 2 . 8 1 6 . .
1 . . . 6 2 . . .
. 9 . . 7 3 . 6 .
6 . . . . . 9 . .
2 . . 6 . . 8 . 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 721936458364825791589147236876594312952381674143762589498273165617458923235619847 #1 Extreme (33984) bf
Brute Force: r4c9=2
Hidden Single: r8c8=2
Hidden Single: r7c4=2
Hidden Single: r2c5=2
Locked Candidates Type 1 (Pointing): 8 in b8 => r8c23<>8
Finned Swordfish: 1 r147 c378 fr7c9 => r9c8<>1
Finne... | Extreme |
sudoku_normal_extremely_hard_113 | .4...63....89....4...41..5..3.6..9..8....3.7...2......2.........9..6.1..7....9.35 | 149756382658932714327418659531627948864593271972184563285371496493865127716249835 | sudoku_normal_extremely_hard_113 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 4 . . . 6 3 . .
. . 8 9 . . . . 4
. . . 4 1 . . 5 .
. 3 . 6 . . 9 . .
8 . . . . 3 . 7 .
. . 2 . . . . . .
2 . . . . . . . .
. 9 . . 6 . 1 . .
7 . . . . 9 . 3 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 149756382658932714327418659531627948864593271972184563285371496493865127716249835 #1 Extreme (24726) bf
Hidden Single: r2c5=3
Hidden Single: r6c9=3
Brute Force: r5c7=2
Hidden Single: r6c7=5
Locked Candidates Type 1 (Pointing): 4 in b6 => r78c8<>4
Locked Candidates Type 1 (Pointing): 2 in b9 => r8c46<>... | Extreme |
sudoku_normal_extremely_hard_114 | ..8...7..3..1...6..9......54...3..2....2........6.43.7..53..8....9.1....6....2.4. | 168495732354127968792863415476938521583271694921654387215349876849716253637582149 | sudoku_normal_extremely_hard_114 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 8 . . . 7 . .
3 . . 1 . . . 6 .
. 9 . . . . . . 5
4 . . . 3 . . 2 .
. . . 2 . . . . .
. . . 6 . 4 3 . 7
. . 5 3 . . 8 . .
. . 9 . 1 . . . .
6 . . . . 2 . 4 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 168495732354127968792863415476938521583271694921654387215349876849716253637582149 #1 Extreme (19284) bf
Locked Candidates Type 1 (Pointing): 4 in b7 => r12c2<>4
Brute Force: r5c5=7
Finned Swordfish: 7 r249 c234 fr2c6 => r3c4<>7
Locked Candidates Type 1 (Pointing): 7 in b2 => r78c6<>7
Discontinuous Nice L... | Extreme |
sudoku_normal_extremely_hard_115 | .....2.6.26.95..1.9...1.2...........41...96...2.....84..42...3..3..7....69...51.. | 541782963263954817978613245386427591415839672729561384154298736832176459697345128 | sudoku_normal_extremely_hard_115 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . . 2 . 6 .
2 6 . 9 5 . . 1 .
9 . . . 1 . 2 . .
. . . . . . . . .
4 1 . . . 9 6 . .
. 2 . . . . . 8 4
. . 4 2 . . . 3 .
. 3 . . 7 . . . .
6 9 . . . 5 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 541782963263954817978613245386427591415839672729561384154298736832176459697345128 #1 Extreme (23992) bf
Hidden Single: r7c5=9
Hidden Single: r4c9=1
Locked Candidates Type 2 (Claiming): 6 in c5 => r4c46,r6c46<>6
Hidden Pair: 6,9 in r46c3 => r46c3<>3, r46c3<>5, r46c3<>7, r4c3<>8
Brute Force: r5c4=8
Forc... | Extreme |
sudoku_normal_extremely_hard_116 | .2..5....4....9..6..98..7.......183...89....71......6.6...2...4.5...4.....43...7. | 826157943417239586539846721965471832348962157172583469681725394753694218294318675 | sudoku_normal_extremely_hard_116 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 2 . . 5 . . . .
4 . . . . 9 . . 6
. . 9 8 . . 7 . .
. . . . . 1 8 3 .
. . 8 9 . . . . 7
1 . . . . . . 6 .
6 . . . 2 . . . 4
. 5 . . . 4 . . .
. . 4 3 . . . 7 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 826157943417239586539846721965471832348962157172583469681725394753694218294318675 #1 Extreme (19906) bf
Brute Force: r5c6=2
Hidden Single: r2c4=2
Naked Pair: 3,5 in r35c1 => r18c1<>3, r4c1<>5
Grouped Discontinuous Nice Loop: 4 r5c5 -4- r3c5 =4= r3c8 =2= r3c9 -2- r46c9 =2= r6c7 =4= r5c78 -4- r5c5 => r5c5<>4
... | Extreme |
sudoku_normal_extremely_hard_117 | 3...7.52.........7..75..31...143.9.2.....9.4..9.....5...2.1...5.4.6.....6....8... | 386971524915243867427586319561437982238159746794862153872314695143695278659728431 | sudoku_normal_extremely_hard_117 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 3 . . . 7 . 5 2 .
. . . . . . . . 7
. . 7 5 . . 3 1 .
. . 1 4 3 . 9 . 2
. . . . . 9 . 4 .
. 9 . . . . . 5 .
. . 2 . 1 . . . 5
. 4 . 6 . . . . .
6 . . . . 8 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 386971524915243867427586319561437982238159746794862153872314695143695278659728431 #1 Extreme (15290) bf
Locked Candidates Type 1 (Pointing): 3 in b6 => r89c9<>3
Brute Force: r5c9=6
Hidden Single: r6c9=3
Locked Candidates Type 1 (Pointing): 6 in b3 => r2c2356<>6
Locked Candidates Type 1 (Pointing): 1 in b... | Extreme |
sudoku_normal_extremely_hard_118 | ..582.....2.1..6....9..5......9.1....8..562..9.628...5..86.....6.2...3.4.1......6 | 165827943824139657739465182253941768481756239976283415348672591692518374517394826 | sudoku_normal_extremely_hard_118 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 5 8 2 . . . .
. 2 . 1 . . 6 . .
. . 9 . . 5 . . .
. . . 9 . 1 . . .
. 8 . . 5 6 2 . .
9 . 6 2 8 . . . 5
. . 8 6 . . . . .
6 . 2 . . . 3 . 4
. 1 . . . . . . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 165827943824139657739465182253941768481756239976283415348672591692518374517394826 #1 Extreme (27050) bf
Hidden Single: r2c8=5
Hidden Single: r3c5=6
Hidden Single: r1c2=6
Hidden Single: r4c1=2
Hidden Single: r5c3=1
Hidden Single: r4c8=6
Hidden Single: r4c2=5
Hidden Single: r8c4=5
Brute Force: ... | Extreme |
sudoku_normal_extremely_hard_119 | .5..4..7...7..9...8.....2....61......4..7..3..7..526......2.3.4.2.4........5.7.2. | 652843179317269485894715263236184597145976832978352641789621354523498716461537928 | sudoku_normal_extremely_hard_119 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 5 . . 4 . . 7 .
. . 7 . . 9 . . .
8 . . . . . 2 . .
. . 6 1 . . . . .
. 4 . . 7 . . 3 .
. 7 . . 5 2 6 . .
. . . . 2 . 3 . 4
. 2 . 4 . . . . .
. . . 5 . 7 . 2 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 652843179317269485894715263236184597145976832978352641789621354523498716461537928 #1 Extreme (20230) bf
Hidden Single: r6c8=4
Hidden Single: r4c6=4
Hidden Single: r3c6=5
Hidden Single: r3c4=7
Hidden Single: r7c1=7
Hidden Single: r3c3=4
Hidden Single: r2c7=4
Hidden Single: r9c1=4
Almost Locked... | Extreme |
sudoku_normal_extremely_hard_120 | .....2..95...3.....1.7..3...6.41..7...4..8......6..4..9......5...8.....2.7..6.1.. | 743182569586934217219756384362419875154378926897625431921847653638591742475263198 | sudoku_normal_extremely_hard_120 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . . 2 . . 9
5 . . . 3 . . . .
. 1 . 7 . . 3 . .
. 6 . 4 1 . . 7 .
. . 4 . . 8 . . .
. . . 6 . . 4 . .
9 . . . . . . 5 .
. . 8 . . . . . 2
. 7 . . 6 . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 743182569586934217219756384362419875154378926897625431921847653638591742475263198 #1 Extreme (29284) bf
Hidden Pair: 1,6 in r7c3,r8c1 => r7c3<>2, r7c3,r8c1<>3, r8c1<>4
Forcing Net Contradiction in r8 => r6c8<>1
r6c8=1 (r5c8<>1) r5c9<>1 r5c1=1 r5c1<>7 r5c5=7 r8c5<>7
r6c8=1 (r1c8<>1 r1c4=1 r8c4<>1) (r5c8<>1) r5... | Extreme |
sudoku_normal_extremely_hard_121 | .5....67...9.....28....1.4.7....8...4..3...1...2.9........5...6.....7.3....8.34.. | 253489671149736852867521943731268594496375218582194367314952786928647135675813429 | sudoku_normal_extremely_hard_121 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 5 . . . . 6 7 .
. . 9 . . . . . 2
8 . . . . 1 . 4 .
7 . . . . 8 . . .
4 . . 3 . . . 1 .
. . 2 . 9 . . . .
. . . . 5 . . . 6
. . . . . 7 . 3 .
. . . 8 . 3 4 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 253489671149736852867521943731268594496375218582194367314952786928647135675813429 #1 Extreme (39944) bf
Locked Candidates Type 1 (Pointing): 9 in b4 => r789c2<>9
Almost Locked Set XY-Wing: A=r1c13469 {123489}, B=r34589c5 {123467}, C=r2c8,r3c79 {3589}, X,Y=3,8, Z=2,4 => r1c5<>2, r1c5<>4
Brute Force: r5c6=5
N... | Extreme |
sudoku_normal_extremely_hard_122 | .....54....98....3.4..3..6....5..79...26......7..9...61....8.3..3..1.6..2.43....1 | 783265419629841573541739862416523798392687145875194326167958234938412657254376981 | sudoku_normal_extremely_hard_122 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . . 5 4 . .
. . 9 8 . . . . 3
. 4 . . 3 . . 6 .
. . . 5 . . 7 9 .
. . 2 6 . . . . .
. 7 . . 9 . . . 6
1 . . . . 8 . 3 .
. 3 . . 1 . 6 . .
2 . 4 3 . . . . 1 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 783265419629841573541739862416523798392687145875194326167958234938412657254376981 #1 Extreme (25748) bf
Brute Force: r5c5=8
Hidden Single: r5c6=7
Forcing Net Contradiction in c8 => r4c9<>4
r4c9=4 (r6c8<>4 r8c8=4 r8c8<>5) (r5c8<>4) r5c9<>4 (r5c9=5 r5c2<>5) (r5c9=5 r8c9<>5) r5c1=4 r5c1<>9 r8c1=9 r8c1<>5 r8c3=5... | Extreme |
sudoku_normal_extremely_hard_123 | ..1.3.8..9....2.6..2......42...5..3...4.....8...2..7...1..69.....7..56..6..3...5. | 561734829948512367723986514279458136154673298836291745315869472497125683682347951 | sudoku_normal_extremely_hard_123 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 1 . 3 . 8 . .
9 . . . . 2 . 6 .
. 2 . . . . . . 4
2 . . . 5 . . 3 .
. . 4 . . . . . 8
. . . 2 . . 7 . .
. 1 . . 6 9 . . .
. . 7 . . 5 6 . .
6 . . 3 . . . 5 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 561734829948512367723986514279458136154673298836291745315869472497125683682347951 #1 Extreme (16140) bf
Discontinuous Nice Loop: 5 r1c9 -5- r6c9 =5= r5c7 =2= r5c8 -2- r1c8 =2= r1c9 => r1c9<>5
Brute Force: r5c5=7
Hidden Single: r4c2=7
Skyscraper: 7 in r2c4,r9c6 (connected by r29c9) => r13c6,r7c4<>7
Hidden... | Extreme |
sudoku_normal_extremely_hard_124 | 5.6.....7.9.5..3..3....2.......2..7......1..8..96..4...4.2...1.6..9.45......8.7.4 | 516349827298517346374862195183425679465791238729638451847256913631974582952183764 | sudoku_normal_extremely_hard_124 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 5 . 6 . . . . . 7
. 9 . 5 . . 3 . .
3 . . . . 2 . . .
. . . . 2 . . 7 .
. . . . . 1 . . 8
. . 9 6 . . 4 . .
. 4 . 2 . . . 1 .
6 . . 9 . 4 5 . .
. . . . 8 . 7 . 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 516349827298517346374862195183425679465791238729638451847256913631974582952183764 #1 Extreme (26842) bf
Brute Force: r5c3=5
Hidden Single: r9c2=5
Forcing Net Contradiction in r5c1 => r5c5<>7
r5c5=7 (r5c5<>9 r4c6=9 r4c6<>5 r4c9=5 r6c8<>5) (r6c5<>7) (r6c6<>7) r5c4<>7 r3c4=7 r2c6<>7 r7c6=7 r7c6<>5 r7c5=5 r6c5<>... | Extreme |
sudoku_normal_extremely_hard_125 | 8...23....3...6.9...25..3....7.6.5..1....5..6...7...4..8......94......1...3..76.. | 816923457534876192972541368397468521148235976625719843781654239469382715253197684 | sudoku_normal_extremely_hard_125 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 8 . . . 2 3 . . .
. 3 . . . 6 . 9 .
. . 2 5 . . 3 . .
. . 7 . 6 . 5 . .
1 . . . . 5 . . 6
. . . 7 . . . 4 .
. 8 . . . . . . 9
4 . . . . . . 1 .
. . 3 . . 7 6 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 816923457534876192972541368397468521148235976625719843781654239469382715253197684 #1 Extreme (42092) bf
Brute Force: r5c7=9
Hidden Single: r5c8=7
Locked Candidates Type 2 (Claiming): 3 in r5 => r4c4,r6c5<>3
Forcing Net Contradiction in c4 => r9c9<>2
r9c9=2 (r9c1<>2) (r9c8<>2 r4c8=2 r4c2<>2) (r9c2<>2) (r9c... | Extreme |
sudoku_normal_extremely_hard_126 | ..6..9.2..4.36.5..1..........8..5..23...4.....6.1..7..6......89..5..72......8.... | 586479123249361578173852946718935462352746891964128735627514389835697214491283657 | sudoku_normal_extremely_hard_126 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 6 . . 9 . 2 .
. 4 . 3 6 . 5 . .
1 . . . . . . . .
. . 8 . . 5 . . 2
3 . . . 4 . . . .
. 6 . 1 . . 7 . .
6 . . . . . . 8 9
. . 5 . . 7 2 . .
. . . . 8 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 586479123249361578173852946718935462352746891964128735627514389835697214491283657 #1 Extreme (31346) bf
Locked Candidates Type 1 (Pointing): 5 in b9 => r9c4<>5
Locked Candidates Type 1 (Pointing): 7 in b9 => r9c123<>7
Hidden Pair: 5,7 in r9c89 => r9c89<>1, r9c89<>3, r9c89<>4, r9c89<>6
Brute Force: r5c7=8
... | Extreme |
sudoku_normal_extremely_hard_127 | 9.......7.7.42.8....8..7....4..69..2..6.7.3.....1...6.....3.51.5.........2...8..4 | 912586437675423891438917625847369152156872349293145768789234516564791283321658974 | sudoku_normal_extremely_hard_127 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 9 . . . . . . . 7
. 7 . 4 2 . 8 . .
. . 8 . . 7 . . .
. 4 . . 6 9 . . 2
. . 6 . 7 . 3 . .
. . . 1 . . . 6 .
. . . . 3 . 5 1 .
5 . . . . . . . .
. 2 . . . 8 . . 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 912586437675423891438917625847369152156872349293145768789234516564791283321658974 #1 Extreme (28602) bf
Locked Candidates Type 1 (Pointing): 9 in b2 => r3c789<>9
Locked Candidates Type 1 (Pointing): 2 in b9 => r8c46<>2
Hidden Pair: 2,4 in r1c3,r3c1 => r1c3,r3c1<>1, r1c3,r3c1<>3, r1c3<>5, r3c1<>6
Brute Force... | Extreme |
sudoku_normal_extremely_hard_128 | .7.9..6.2..3..5.....6.2..8...7.9..1.6..7......9....5.7....7.2.9.....9.6.4..6..... | 874913652213865794956427381347592816685741923192386547568174239731259468429638175 | sudoku_normal_extremely_hard_128 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 7 . 9 . . 6 . 2
. . 3 . . 5 . . .
. . 6 . 2 . . 8 .
. . 7 . 9 . . 1 .
6 . . 7 . . . . .
. 9 . . . . 5 . 7
. . . . 7 . 2 . 9
. . . . . 9 . 6 .
4 . . 6 . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 874913652213865794956427381347592816685741923192386547568174239731259468429638175 #1 Extreme (36012) bf
Hidden Single: r3c6=7
Hidden Single: r9c3=9
Hidden Single: r4c9=6
Hidden Single: r8c1=7
Hidden Single: r2c5=6
Hidden Single: r7c2=6
Hidden Single: r6c6=6
Finned Swordfish: 2 r249 c126 fr4c4 =>... | Extreme |
sudoku_normal_extremely_hard_129 | .....23..21..7...59..5.........1..8.16......2..9.26.7.52...7..6..7....4..9....... | 745192368216873495938564721372415689164789532859326174523947816687251943491638257 | sudoku_normal_extremely_hard_129 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . . 2 3 . .
2 1 . . 7 . . . 5
9 . . 5 . . . . .
. . . . 1 . . 8 .
1 6 . . . . . . 2
. . 9 . 2 6 . 7 .
5 2 . . . 7 . . 6
. . 7 . . . . 4 .
. 9 . . . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 745192368216873495938564721372415689164789532859326174523947816687251943491638257 #1 Extreme (23968) bf
Hidden Single: r4c3=2
Hidden Single: r4c7=6
Hidden Single: r5c4=7
Empty Rectangle: 5 in b5 (r59c8) => r9c6<>5
Brute Force: r5c7=5
Hidden Single: r1c3=5
Hidden Single: r4c6=5
Hidden Single: r9c... | Extreme |
sudoku_normal_extremely_hard_130 | .896.2.17......9.6.....182....1...7.6....8..9.12.79.8..23........4...2..8..9..... | 389652417251487936746391825938146572675238149412579683123865794594713268867924351 | sudoku_normal_extremely_hard_130 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 8 9 6 . 2 . 1 7
. . . . . . 9 . 6
. . . . . 1 8 2 .
. . . 1 . . . 7 .
6 . . . . 8 . . 9
. 1 2 . 7 9 . 8 .
. 2 3 . . . . . .
. . 4 . . . 2 . .
8 . . 9 . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 389652417251487936746391825938146572675238149412579683123865794594713268867924351 #1 Extreme (13472) bf
Hidden Single: r5c7=1
Hidden Single: r6c7=6
Hidden Single: r2c1=2
Hidden Single: r4c9=2
Hidden Single: r4c3=8
Hidden Single: r3c5=9
Hidden Single: r9c5=2
Hidden Single: r5c4=2
Hidden Single... | Extreme |
sudoku_normal_extremely_hard_131 | ...6..3..6...9..4..2...4..8..6.3...2.4....7..3....9.5...8.1...4...9...1.17...5... | 814672395635198247729354168596731482241586739387429651968213574452967813173845926 | sudoku_normal_extremely_hard_131 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . 6 . . 3 . .
6 . . . 9 . . 4 .
. 2 . . . 4 . . 8
. . 6 . 3 . . . 2
. 4 . . . . 7 . .
3 . . . . 9 . 5 .
. . 8 . 1 . . . 4
. . . 9 . . . 1 .
1 7 . . . 5 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 814672395635198247729354168596731482241586739387429651968213574452967813173845926 #1 Extreme (16972) bf
Brute Force: r5c5=8
Locked Candidates Type 1 (Pointing): 5 in b5 => r23c4<>5
Finned Swordfish: 8 r168 c267 fr1c1 => r2c2<>8
Locked Candidates Type 1 (Pointing): 8 in b1 => r1c6<>8
Discontinuous Nice Lo... | Extreme |
sudoku_normal_extremely_hard_132 | 6.....8.2.728...6..1.6..57...17...2.2...8....76...4....9..3....1..9...8.....6...5 | 645379812972815463813642579451793628239186754768524931596238147124957386387461295 | sudoku_normal_extremely_hard_132 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 6 . . . . . 8 . 2
. 7 2 8 . . . 6 .
. 1 . 6 . . 5 7 .
. . 1 7 . . . 2 .
2 . . . 8 . . . .
7 6 . . . 4 . . .
. 9 . . 3 . . . .
1 . . 9 . . . 8 .
. . . . 6 . . . 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 645379812972815463813642579451793628239186754768524931596238147124957386387461295 #1 Extreme (22132) bf
Brute Force: r5c8=5
Forcing Net Contradiction in c9 => r1c5<>5
r1c5=5 (r1c5<>9) (r1c5<>7 r1c6=7 r1c6<>9) (r4c5<>5 r4c5=9 r4c1<>9) (r2c5<>5) r2c6<>5 r2c1=5 r2c1<>9 r3c1=9 r1c3<>9 r1c8=9 r2c9<>9
r1c5=5 (r4c5<... | Extreme |
sudoku_normal_extremely_hard_133 | ......6...25...4..69.4...58..9...5...86.5.2...4.....89........6..2.31..58....4.2. | 438517692125896437697423158279148563386759214541362789914285376762931845853674921 | sudoku_normal_extremely_hard_133 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . . . 6 . .
. 2 5 . . . 4 . .
6 9 . 4 . . . 5 8
. . 9 . . . 5 . .
. 8 6 . 5 . 2 . .
. 4 . . . . . 8 9
. . . . . . . . 6
. . 2 . 3 1 . . 5
8 . . . . 4 . 2 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 438517692125896437697423158279148563386759214541362789914285376762931845853674921 #1 Extreme (14022) bf
Hidden Single: r6c1=5
Hidden Single: r4c8=6
Hidden Single: r1c3=8
Hidden Single: r4c5=4
Hidden Single: r1c9=2
Hidden Single: r4c1=2
Hidden Single: r1c1=4
Hidden Single: r7c3=4
Hidden Single... | Extreme |
sudoku_normal_extremely_hard_134 | 5....7......31.5..91.4.67..6.8...9.1...9..3....21....5.67...........3....8.7...39 | 526897413874312596913456728638275941451968372792134865367529184149683257285741639 | sudoku_normal_extremely_hard_134 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 5 . . . . 7 . . .
. . . 3 1 . 5 . .
9 1 . 4 . 6 7 . .
6 . 8 . . . 9 . 1
. . . 9 . . 3 . .
. . 2 1 . . . . 5
. 6 7 . . . . . .
. . . . . 3 . . .
. 8 . 7 . . . 3 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 526897413874312596913456728638275941451968372792134865367529184149683257285741639 #1 Easy (420)
Naked Single: r3c3=3
Hidden Single: r3c5=5
Hidden Single: r6c2=9
Hidden Single: r2c1=8
Hidden Single: r8c4=6
Hidden Single: r7c1=3
Hidden Single: r8c3=9
Hidden Single: r1c9=3
Hidden Single: r4c2=3
... | Easy |
sudoku_normal_extremely_hard_135 | 1.9..75........79.7.8..9..39...1..2..4..9.......8.3.5.......3.....63....8.2....71 | 129387564364521798758469213983715426541296837276843159695178342417632985832954671 | sudoku_normal_extremely_hard_135 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 1 . 9 . . 7 5 . .
. . . . . . 7 9 .
7 . 8 . . 9 . . 3
9 . . . 1 . . 2 .
. 4 . . 9 . . . .
. . . 8 . 3 . 5 .
. . . . . . 3 . .
. . . 6 3 . . . .
8 . 2 . . . . 7 1 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 129387564364521798758469213983715426541296837276843159695178342417632985832954671 #1 Easy (354)
Hidden Single: r5c8=3
Hidden Single: r4c2=8
Hidden Single: r9c2=3
Hidden Single: r2c1=3
Hidden Single: r3c8=1
Hidden Single: r4c3=3
Hidden Single: r1c4=3
Hidden Single: r9c7=6
Naked Single: r4c7=4
... | Easy |
sudoku_normal_extremely_hard_136 | ..65..1...2......9....9.24.65.1....8..1......78..6.5......43....6......2..86..73. | 936524187524718369817396245659137428341285976782469513275843691463971852198652734 | sudoku_normal_extremely_hard_136 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 6 5 . . 1 . .
. 2 . . . . . . 9
. . . . 9 . 2 4 .
6 5 . 1 . . . . 8
. . 1 . . . . . .
7 8 . . 6 . 5 . .
. . . . 4 3 . . .
. 6 . . . . . . 2
. . 8 6 . . 7 3 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 936524187524718369817396245659137428341285976782469513275843691463971852198652734 #1 Extreme (36400) bf
Brute Force: r5c6=5
Brute Force: r5c5=8
Brute Force: r5c7=9
Locked Candidates Type 1 (Pointing): 9 in b4 => r78c3<>9
Empty Rectangle: 3 in b5 (r24c7) => r2c4<>3
Forcing Chain Contradiction in r4 => ... | Extreme |
sudoku_normal_extremely_hard_137 | .3.4...2.1...9.5....7..2.......8..1.8......59..69..8....13...7.7...6.1...4...7..5 | 935418726162793584487652391293586417874231659516974832651349278729865143348127965 | sudoku_normal_extremely_hard_137 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 3 . 4 . . . 2 .
1 . . . 9 . 5 . .
. . 7 . . 2 . . .
. . . . 8 . . 1 .
8 . . . . . . 5 9
. . 6 9 . . 8 . .
. . 1 3 . . . 7 .
7 . . . 6 . 1 . .
. 4 . . . 7 . . 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 935418726162793584487652391293586417874231659516974832651349278729865143348127965 #1 Extreme (26792) bf
Brute Force: r5c4=2
Finned Swordfish: 2 r268 c239 fr6c1 => r4c23<>2
Forcing Chain Contradiction in r1 => r7c7<>6
r7c7=6 r7c2<>6 r79c1=6 r1c1<>6
r7c7=6 r5c7<>6 r5c6=6 r1c6<>6
r7c7=6 r1c7<>6
r7c7=6 r9c... | Extreme |
sudoku_normal_extremely_hard_138 | 9....471..719....3.5.........32..4..7....92...2.....5.6..79.....8.46.9.......8... | 968354712271986543354172896893215467715649238426837159642791385587463921139528674 | sudoku_normal_extremely_hard_138 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 9 . . . . 4 7 1 .
. 7 1 9 . . . . 3
. 5 . . . . . . .
. . 3 2 . . 4 . .
7 . . . . 9 2 . .
. 2 . . . . . 5 .
6 . . 7 9 . . . .
. 8 . 4 6 . 9 . .
. . . . . 8 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 968354712271986543354172896893215467715649238426837159642791385587463921139528674 #1 Extreme (34122) bf
Brute Force: r5c8=3
Brute Force: r5c5=4
Locked Candidates Type 2 (Claiming): 4 in c2 => r79c3,r9c1<>4
XYZ-Wing: 2/5/7 in r78c3,r8c8 => r8c1<>2
Discontinuous Nice Loop: 2 r2c8 -2- r8c8 -7- r8c3 =7= r9c3... | Extreme |
sudoku_normal_extremely_hard_139 | .2..4..6.5..73.4.......8..7...9...8.4...7.3.9.19........5.6....6..4.7..5.7.3..6.. | 728549163596731428143628957367914582452876319819253746935162874681497235274385691 | sudoku_normal_extremely_hard_139 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 2 . . 4 . . 6 .
5 . . 7 3 . 4 . .
. . . . . 8 . . 7
. . . 9 . . . 8 .
4 . . . 7 . 3 . 9
. 1 9 . . . . . .
. . 5 . 6 . . . .
6 . . 4 . 7 . . 5
. 7 . 3 . . 6 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 728549163596731428143628957367914582452876319819253746935162874681497235274385691 #1 Extreme (22024) bf
Hidden Pair: 3,4 in r46c6 => r4c6<>1, r46c6<>2, r46c6<>5, r46c6<>6
Brute Force: r5c4=8
Hidden Single: r6c1=8
Hidden Single: r6c6=3
Naked Single: r4c6=4
Locked Candidates Type 1 (Pointing): 7 in b4 =... | Extreme |
sudoku_normal_extremely_hard_140 | ..8....6.9..38...7.....58..2...3...6.1.4...2.3..12...96.........23.9.6...97.....2 | 158972463946381257732645891274539186819467325365128749681253974523794618497816532 | sudoku_normal_extremely_hard_140 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 8 . . . . 6 .
9 . . 3 8 . . . 7
. . . . . 5 8 . .
2 . . . 3 . . . 6
. 1 . 4 . . . 2 .
3 . . 1 2 . . . 9
6 . . . . . . . .
. 2 3 . 9 . 6 . .
. 9 7 . . . . . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 158972463946381257732645891274539186819467325365128749681253974523794618497816532 #1 Extreme (33160) bf
Brute Force: r5c5=6
Hidden Single: r4c4=5
Locked Candidates Type 1 (Pointing): 7 in b5 => r178c6<>7
Locked Candidates Type 1 (Pointing): 8 in b5 => r789c6<>8
Locked Candidates Type 1 (Pointing): 9 in b... | Extreme |
sudoku_normal_extremely_hard_141 | 7..2..6....8.36.......7..5..7...2.45..9.....12...4.7..31.4....9.8.......6....34.. | 745281693928536174163974258876312945439765821251849736317428569584697312692153487 | sudoku_normal_extremely_hard_141 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 7 . . 2 . . 6 . .
. . 8 . 3 6 . . .
. . . . 7 . . 5 .
. 7 . . . 2 . 4 5
. . 9 . . . . . 1
2 . . . 4 . 7 . .
3 1 . 4 . . . . 9
. 8 . . . . . . .
6 . . . . 3 4 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 745281693928536174163974258876312945439765821251849736317428569584697312692153487 #1 Extreme (22156) bf
Brute Force: r5c6=5
Hidden Single: r5c4=7
Turbot Fish: 5 r1c5 =5= r2c4 -5- r2c1 =5= r8c1 => r8c5<>5
Finned Swordfish: 5 r169 c235 fr9c4 => r7c5<>5
Forcing Chain Contradiction in r4 => r4c4<>8
r4c4=8 ... | Extreme |
sudoku_normal_extremely_hard_142 | .2.1...6.7.4.6..2....2..7...6..1.4..37..4.6....5.........4...3......8..9.4..2.1.. | 928174365714563928653289714862917453371845692495632871287491536136758249549326187 | sudoku_normal_extremely_hard_142 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . 2 . 1 . . . 6 .
7 . 4 . 6 . . 2 .
. . . 2 . . 7 . .
. 6 . . 1 . 4 . .
3 7 . . 4 . 6 . .
. . 5 . . . . . .
. . . 4 . . . 3 .
. . . . . 8 . . 9
. 4 . . 2 . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 928174365714563928653289714862917453371845692495632871287491536136758249549326187 #1 Extreme (25816) bf
Hidden Single: r6c1=4
Hidden Single: r8c8=4
Hidden Single: r7c6=1
Turbot Fish: 1 r2c9 =1= r2c2 -1- r6c2 =1= r5c3 => r5c9<>1
Brute Force: r5c8=9
Hidden Single: r5c3=1
Locked Candidates Type 1 (Poi... | Extreme |
sudoku_normal_extremely_hard_143 | 1...8......9..76...5.2.....8..1......2..5......4..6..37......19.....43.8..3...7.. | 147689532239547681658231974875193246326458197914726853782365419561974328493812765 | sudoku_normal_extremely_hard_143 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 1 . . . 8 . . . .
. . 9 . . 7 6 . .
. 5 . 2 . . . . .
8 . . 1 . . . . .
. 2 . . 5 . . . .
. . 4 . . 6 . . 3
7 . . . . . . 1 9
. . . . . 4 3 . 8
. . 3 . . . 7 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 147689532239547681658231974875193246326458197914726853782365419561974328493812765 #1 Extreme (31762) bf
Brute Force: r5c4=4
Finned X-Wing: 4 r17 c27 fr1c8 fr1c9 => r3c7<>4
Forcing Chain Contradiction in c1 => r8c4<>6
r8c4=6 r1c4<>6 r3c5=6 r3c1<>6
r8c4=6 r8c4<>7 r6c4=7 r6c4<>8 r5c6=8 r5c6<>3 r5c1=3 r5c1<>6
... | Extreme |
sudoku_normal_extremely_hard_144 | 2...6...419.8.4..........8.78.2..5.6....5.....4.7.6.2.....2...7..7.8.24....6.7..5 | 278963154195874632436512789783241596962358471541796328319425867657189243824637915 | sudoku_normal_extremely_hard_144 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 2 . . . 6 . . . 4
1 9 . 8 . 4 . . .
. . . . . . . 8 .
7 8 . 2 . . 5 . 6
. . . . 5 . . . .
. 4 . 7 . 6 . 2 .
. . . . 2 . . . 7
. . 7 . 8 . 2 4 .
. . . 6 . 7 . . 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 278963154195874632436512789783241596962358471541796328319425867657189243824637915 #1 Extreme (15614) bf
Hidden Single: r1c3=8
Hidden Single: r3c6=2
Hidden Single: r5c6=8
Hidden Single: r2c9=2
Hidden Single: r4c5=4
Hidden Single: r5c7=4
Hidden Single: r6c9=8
Hidden Single: r7c4=4
Hidden Single... | Extreme |
sudoku_normal_extremely_hard_145 | ..8..6..32..3.......5.4..1....2..7...6.4..8..5.1.7..4.1...9...7..9...1.4.5.....9. | 948126573216357489375948612894265731763419825521873946182594367639782154457631298 | sudoku_normal_extremely_hard_145 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 8 . . 6 . . 3
2 . . 3 . . . . .
. . 5 . 4 . . 1 .
. . . 2 . . 7 . .
. 6 . 4 . . 8 . .
5 . 1 . 7 . . 4 .
1 . . . 9 . . . 7
. . 9 . . . 1 . 4
. 5 . . . . . 9 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 948126573216357489375948612894265731763419825521873946182594367639782154457631298 #1 Extreme (38294) bf
Brute Force: r5c5=1
Hidden Single: r4c9=1
Forcing Net Contradiction in c8 => r7c6<>5
r7c6=5 (r8c6<>5 r8c8=5 r1c8<>5) (r4c6<>5) r5c6<>5 r4c5=5 r1c5<>5 r1c5=2 r1c8<>2 r1c8=7
r7c6=5 (r8c6<>5 r8c8=5 r2c8<>5)... | Extreme |
sudoku_normal_extremely_hard_146 | 4..2..8.7..8.......3..8..6......6.......5....9..7..4.6..4.7.1.9.7.1....21...29... | 496235817518697243732481965387946521641352798925718436264573189879164352153829674 | sudoku_normal_extremely_hard_146 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 4 . . 2 . . 8 . 7
. . 8 . . . . . .
. 3 . . 8 . . 6 .
. . . . . 6 . . .
. . . . 5 . . . .
9 . . 7 . . 4 . 6
. . 4 . 7 . 1 . 9
. 7 . 1 . . . . 2
1 . . . 2 9 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 496235817518697243732481965387946521641352798925718436264573189879164352153829674 #1 Extreme (42218) bf
Hidden Single: r8c3=9
Empty Rectangle: 9 in b5 (r3c47) => r4c7<>9
Brute Force: r5c2=4
Brute Force: r5c1=6
Brute Force: r5c3=1
Locked Candidates Type 1 (Pointing): 7 in b4 => r4c78<>7
Naked Triple... | Extreme |
sudoku_normal_extremely_hard_147 | ....4..1....9.27.....6.......6..3.....27..9..8......5..1..5...3..3..92..4......8. | 978345612651982734324671598146593827532768941897124356219856473783419265465237189 | sudoku_normal_extremely_hard_147 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . 4 . . 1 .
. . . 9 . 2 7 . .
. . . 6 . . . . .
. . 6 . . 3 . . .
. . 2 7 . . 9 . .
8 . . . . . . 5 .
. 1 . . 5 . . . 3
. . 3 . . 9 2 . .
4 . . . . . . 8 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 978345612651982734324671598146593827532768941897124356219856473783419265465237189 #1 Extreme (34946) bf
Grouped Discontinuous Nice Loop: 5 r1c1 -5- r2c123 =5= r2c9 -5- r8c9 =5= r8c12 -5- r9c3 =5= r123c3 -5- r1c1 => r1c1<>5
Grouped Discontinuous Nice Loop: 5 r1c2 -5- r2c123 =5= r2c9 -5- r8c9 =5= r8c12 -5- r9c3 =5=... | Extreme |
sudoku_normal_extremely_hard_148 | 6..72......5..6...7...9..46...6......529.4.......7295..6.5..4...49...13...7.4.... | 694725813315486279728391546971658324852934761436172958263519487549867132187243695 | sudoku_normal_extremely_hard_148 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 6 . . 7 2 . . . .
. . 5 . . 6 . . .
7 . . . 9 . . 4 6
. . . 6 . . . . .
. 5 2 9 . 4 . . .
. . . . 7 2 9 5 .
. 6 . 5 . . 4 . .
. 4 9 . . . 1 3 .
. . 7 . 4 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 694725813315486279728391546971658324852934761436172958263519487549867132187243695 #1 Extreme (27098) bf
Hidden Single: r6c3=6
Hidden Single: r4c5=5
Hidden Single: r1c3=4
Hidden Single: r8c5=6
Hidden Single: r4c2=7
Hidden Single: r2c4=4
Hidden Single: r4c1=9
Hidden Single: r4c9=4
Hidden Single... | Extreme |
sudoku_normal_extremely_hard_149 | ...7..19.....182...7.2.9.485........3.7...8...2...4..99.4.....1.......7..8.9.1... | 832745196495618237671239548549863712367192854128574369954327681213486975786951423 | sudoku_normal_extremely_hard_149 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . 7 . . 1 9 .
. . . . 1 8 2 . .
. 7 . 2 . 9 . 4 8
5 . . . . . . . .
3 . 7 . . . 8 . .
. 2 . . . 4 . . 9
9 . 4 . . . . . 1
. . . . . . . 7 .
. 8 . 9 . 1 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | extremely_hard | 832745196495618237671239548549863712367192854128574369954327681213486975786951423 #1 Extreme (42008) bf
Hidden Single: r2c9=7
Hidden Single: r9c1=7
Hidden Single: r7c8=8
Hidden Single: r8c7=9
Locked Candidates Type 1 (Pointing): 4 in b4 => r12c2<>4
Locked Candidates Type 2 (Claiming): 2 in r7 => r8c56... | Extreme |
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