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_raw string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
normal_sudoku_1646 | 3.92.84164.8.1.2..621.......9...4.8.7..58.629.86.....4..5.3....86.7..9.59.7..5... | 379258416458316297621497853293674581714583629586129374145932768862741935937865142 | normal_sudoku_1646 | 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 2 . 8 4 1 6
4 . 8 . 1 . 2 . .
6 2 1 . . . . . .
. 9 . . . 4 . 8 .
7 . . 5 8 . 6 2 9
. 8 6 . . . . . 4
. . 5 . 3 . . . .
8 6 . 7 . . 9 . 5
9 . 7 . . 5 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 379258416458316297621497853293674581714583629586129374145932768862741935937865142 #1 Easy (230)
Hidden Single: r8c6=1
Naked Single: r5c6=3
Naked Single: r5c3=4
Full House: r5c2=1
Naked Single: r7c2=4
Naked Single: r9c2=3
Naked Single: r8c3=2
Full House: r4c3=3
Full House: r7c1=1
Naked Single: r8c5=4
Full House: r8c8=3
Hidden Single: r3c4=4
Hidden Single: r9c8=4
Hidden Single: r6c7=3
Hidden Single: r2c4=3
Naked Single: r2c9=7
Naked Single: r2c2=5
Full House: r1c2=7
Full House: r1c5=5
Naked Single: r4c9=1
Naked Single: r2c8=9
Full House: r2c6=6
Naked Single: r4c4=6
Naked Single: r3c8=5
Naked Single: r9c4=8
Naked Single: r3c7=8
Full House: r3c9=3
Naked Single: r6c8=7
Full House: r4c7=5
Full House: r7c8=6
Naked Single: r7c4=9
Full House: r6c4=1
Naked Single: r9c7=1
Full House: r7c7=7
Naked Single: r9c9=2
Full House: r7c9=8
Full House: r7c6=2
Full House: r9c5=6
Naked Single: r4c1=2
Full House: r4c5=7
Full House: r6c1=5
Naked Single: r6c6=9
Full House: r3c6=7
Full House: r3c5=9
Full House: r6c5=2
|
normal_sudoku_2825 | 2...3..9...1....6.4....6.826571..843.4.3752161...6.759.1.6..574...4..931..4...628 | 286531497791248365435796182657129843948375216123864759319682574862457931574913628 | normal_sudoku_2825 | 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 . . 9 .
. . 1 . . . . 6 .
4 . . . . 6 . 8 2
6 5 7 1 . . 8 4 3
. 4 . 3 7 5 2 1 6
1 . . . 6 . 7 5 9
. 1 . 6 . . 5 7 4
. . . 4 . . 9 3 1
. . 4 . . . 6 2 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 286531497791248365435796182657129843948375216123864759319682574862457931574913628 #1 Medium (500)
Hidden Single: r6c6=4
Hidden Single: r2c5=4
Naked Single: r2c7=3
Naked Single: r3c7=1
Full House: r1c7=4
Hidden Single: r6c4=8
Hidden Single: r1c6=1
Hidden Single: r9c5=1
Hidden Single: r2c4=2
Hidden Single: r2c6=8
Locked Candidates Type 1 (Pointing): 7 in b2 => r9c4<>7
Locked Candidates Type 1 (Pointing): 9 in b2 => r3c23<>9
Locked Candidates Type 2 (Claiming): 3 in c1 => r7c3,r9c2<>3
Naked Pair: 5,7 in r1c49 => r1c2<>7, r1c3<>5
Naked Pair: 7,9 in r29c2 => r38c2<>7
Naked Single: r3c2=3
Naked Single: r3c3=5
Naked Single: r6c2=2
Full House: r6c3=3
Naked Single: r3c5=9
Full House: r3c4=7
Full House: r1c4=5
Full House: r9c4=9
Naked Single: r4c5=2
Full House: r4c6=9
Naked Single: r1c9=7
Full House: r2c9=5
Naked Single: r9c2=7
Naked Single: r7c5=8
Full House: r8c5=5
Naked Single: r2c2=9
Full House: r2c1=7
Naked Single: r9c6=3
Full House: r9c1=5
Naked Single: r8c1=8
Naked Single: r7c6=2
Full House: r8c6=7
Naked Single: r5c1=9
Full House: r5c3=8
Full House: r7c1=3
Full House: r7c3=9
Naked Single: r8c2=6
Full House: r1c2=8
Full House: r1c3=6
Full House: r8c3=2
|
normal_sudoku_1883 | 9712.83..862.3..19..59.12.8194.23.8.6...94123..31...94..9..2.315....98.2......9.. | 971248356862537419435961278194723685657894123283156794749682531516379842328415967 | normal_sudoku_1883 | 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 1 2 . 8 3 . .
8 6 2 . 3 . . 1 9
. . 5 9 . 1 2 . 8
1 9 4 . 2 3 . 8 .
6 . . . 9 4 1 2 3
. . 3 1 . . . 9 4
. . 9 . . 2 . 3 1
5 . . . . 9 8 . 2
. . . . . . 9 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 971248356862537419435961278194723685657894123283156794749682531516379842328415967 #1 Hard (666)
Locked Candidates Type 1 (Pointing): 4 in b1 => r3c58<>4
Locked Candidates Type 1 (Pointing): 6 in b2 => r6789c5<>6
Hidden Triple: 1,2,3 in r89c2,r9c1 => r89c2,r9c1<>4, r9c1<>7, r9c2<>8
Locked Candidates Type 1 (Pointing): 4 in b7 => r7c457<>4
Hidden Single: r2c7=4
Hidden Single: r1c5=4
Hidden Single: r3c8=7
Naked Single: r3c5=6
Hidden Pair: 3,4 in r89c4 => r89c4<>6, r89c4<>7, r9c4<>5, r9c4<>8
Skyscraper: 6 in r6c6,r7c4 (connected by r67c7) => r4c4,r9c6<>6
Hidden Single: r7c4=6
Hidden Single: r6c6=6
Hidden Single: r5c4=8
Naked Single: r5c2=5
Full House: r5c3=7
Naked Single: r6c1=2
Full House: r6c2=8
Naked Single: r8c3=6
Full House: r9c3=8
Naked Single: r9c1=3
Naked Single: r7c2=4
Naked Single: r8c8=4
Naked Single: r3c1=4
Full House: r3c2=3
Full House: r7c1=7
Naked Single: r8c2=1
Full House: r9c2=2
Naked Single: r9c4=4
Naked Single: r8c4=3
Full House: r8c5=7
Naked Single: r7c7=5
Full House: r7c5=8
Naked Single: r6c5=5
Full House: r6c7=7
Full House: r4c4=7
Full House: r9c5=1
Full House: r9c6=5
Full House: r4c7=6
Full House: r2c4=5
Full House: r2c6=7
Full House: r4c9=5
Naked Single: r9c8=6
Full House: r1c8=5
Full House: r1c9=6
Full House: r9c9=7
|
normal_sudoku_920 | ..4.6.25.6..42.89.92....461716..2945.491567.2..2..4.1.49...7....37.....4.6..4.179 | 874961253651423897923578461716832945349156782582794316495217638137689524268345179 | normal_sudoku_920 | 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 . 2 5 .
6 . . 4 2 . 8 9 .
9 2 . . . . 4 6 1
7 1 6 . . 2 9 4 5
. 4 9 1 5 6 7 . 2
. . 2 . . 4 . 1 .
4 9 . . . 7 . . .
. 3 7 . . . . . 4
. 6 . . 4 . 1 7 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 874961253651423897923578461716832945349156782582794316495217638137689524268345179 #1 Extreme (1856)
Locked Candidates Type 1 (Pointing): 1 in b2 => r8c6<>1
Locked Candidates Type 1 (Pointing): 3 in b3 => r67c9<>3
Locked Candidates Type 1 (Pointing): 3 in b4 => r1c1<>3
Locked Candidates Type 1 (Pointing): 3 in b9 => r7c45<>3
Locked Candidates Type 2 (Claiming): 7 in r3 => r1c4<>7
Locked Candidates Type 2 (Claiming): 3 in r4 => r6c45<>3
Locked Candidates Type 2 (Claiming): 8 in r4 => r6c45<>8
Continuous Nice Loop: 8 3= r6c1 =5= r6c2 =8= r1c2 -8- r1c1 -1- r8c1 =1= r8c5 -1- r7c5 -8- r7c9 -6- r6c9 =6= r6c7 =3= r6c1 =5 => r1c46,r37c3,r6c1,r7c48<>8
Hidden Single: r9c3=8
XY-Wing: 5/7/3 in r2c29,r3c3 => r2c3<>3
Hidden Single: r3c3=3
Hidden Single: r4c5=3
Full House: r4c4=8
Locked Candidates Type 1 (Pointing): 5 in b1 => r2c6<>5
XY-Wing: 3/6/5 in r6c17,r8c7 => r8c1<>5
Sue de Coq: r8c56 - {1589} (r8c18 - {128}, r789c4,r9c6 - {23569}) => r8c4<>2
XY-Chain: 5 5- r3c4 -7- r3c5 -8- r7c5 -1- r7c3 -5- r2c3 -1- r2c6 -3- r9c6 -5 => r3c6,r789c4<>5
Naked Single: r3c6=8
Naked Single: r3c5=7
Full House: r3c4=5
Naked Single: r6c5=9
Full House: r6c4=7
XY-Wing: 6/8/2 in r7c49,r8c8 => r7c8<>2
Naked Single: r7c8=3
Naked Single: r5c8=8
Full House: r5c1=3
Full House: r8c8=2
Naked Single: r6c9=6
Full House: r6c7=3
Naked Single: r6c1=5
Full House: r6c2=8
Naked Single: r8c1=1
Naked Single: r7c9=8
Naked Single: r9c1=2
Full House: r1c1=8
Full House: r7c3=5
Full House: r2c3=1
Naked Single: r1c2=7
Full House: r2c2=5
Naked Single: r8c5=8
Full House: r7c5=1
Naked Single: r9c4=3
Full House: r9c6=5
Naked Single: r7c7=6
Full House: r7c4=2
Full House: r8c7=5
Naked Single: r2c6=3
Full House: r2c9=7
Full House: r1c9=3
Naked Single: r1c4=9
Full House: r1c6=1
Full House: r8c6=9
Full House: r8c4=6
|
normal_sudoku_2918 | 6.5...12.4......6...2...4.515.8.97..2.85..6...4.....5.56...7.147.41..2.6821..657. | 685934127419725368372618495156849732238571649947362851563287914794153286821496573 | normal_sudoku_2918 | 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 .
4 . . . . . . 6 .
. . 2 . . . 4 . 5
1 5 . 8 . 9 7 . .
2 . 8 5 . . 6 . .
. 4 . . . . . 5 .
5 6 . . . 7 . 1 4
7 . 4 1 . . 2 . 6
8 2 1 . . 6 5 7 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 685934127419725368372618495156849732238571649947362851563287914794153286821496573 #1 Extreme (3296)
2-String Kite: 7 in r2c3,r5c5 (connected by r5c2,r6c3) => r2c5<>7
2-String Kite: 8 in r3c8,r7c5 (connected by r7c7,r8c8) => r3c5<>8
Finned X-Wing: 7 r35 c25 fr3c4 => r1c5<>7
Sashimi Swordfish: 9 c137 r267 fr3c1 => r2c2<>9
Finned Franken Swordfish: 3 c17b7 r267 fr3c1 fr8c2 => r2c2<>3
Forcing Chain Contradiction in c8 => r6c9<>3
r6c9=3 r6c1<>3 r3c1=3 r3c8<>3
r6c9=3 r4c8<>3
r6c9=3 r5c8<>3
r6c9=3 r6c9<>8 r6c7=8 r7c7<>8 r8c8=8 r8c8<>3
Forcing Chain Contradiction in c8 => r6c9<>9
r6c9=9 r6c1<>9 r3c1=9 r3c8<>9
r6c9=9 r5c8<>9
r6c9=9 r6c9<>8 r6c7=8 r7c7<>8 r8c8=8 r8c8<>9
Forcing Net Verity => r3c1=3
r1c2=3 (r8c2<>3 r8c2=9 r8c8<>9) (r2c3<>3) r3c1<>3 (r3c1=9 r3c8<>9) r6c1=3 (r6c7<>3) (r4c3<>3) r6c3<>3 r7c3=3 r7c7<>3 r2c7=3 r3c8<>3 r3c8=8 (r2c9<>8 r6c9=8 r6c7<>8) r8c8<>8 r8c8=3 r4c8<>3 r4c8=4 r5c8<>4 r5c8=9 (r5c8<>3) r6c7<>9 r6c7=3 r6c1<>3 r3c1=3
r2c3=3 (r1c2<>3) (r3c2<>3) (r7c3<>3 r7c3=9 r6c3<>9 r6c7=9 r2c7<>9 r2c7=8 r3c8<>8 r3c8=3 r1c9<>3) (r2c9<>3) (r3c1<>3 r3c1=9 r3c8<>9) (r3c1<>3 r6c1=3 r5c2<>3) r2c3<>7 r6c3=7 r5c2<>7 r5c2=9 r5c8<>9 r8c8=9 r8c8<>8 r3c8=8 r3c8<>3 r2c7=3 r2c3<>3 r3c1=3
r3c1=3 r3c1=3
r3c2=3 (r6c9=8 r6c7<>8) (r8c2<>3 r8c2=9 r8c8<>9) (r3c8<>3) r3c1<>3 r3c1=9 r3c8<>9 r3c8=8 r8c8<>8 r8c8=3 r4c8<>3 r4c8=4 r5c8<>4 r5c8=9 (r5c8<>3) r6c7<>9 r6c7=3 r6c1<>3 r3c1=3
Full House: r6c1=9
X-Wing: 9 c37 r27 => r2c459,r7c45<>9
W-Wing: 3/9 in r8c2,r9c9 connected by 9 in r7c37 => r8c8<>3
Locked Candidates Type 2 (Claiming): 3 in c8 => r45c9,r6c7<>3
Naked Single: r4c9=2
Naked Single: r6c7=8
Naked Single: r6c9=1
Naked Single: r5c9=9
Naked Single: r9c9=3
Naked Single: r7c7=9
Full House: r2c7=3
Full House: r8c8=8
Naked Single: r7c3=3
Full House: r8c2=9
Naked Single: r3c8=9
Naked Single: r4c3=6
Naked Single: r7c4=2
Full House: r7c5=8
Naked Single: r6c3=7
Full House: r2c3=9
Full House: r5c2=3
Naked Single: r2c4=7
Naked Single: r5c8=4
Full House: r4c8=3
Full House: r4c5=4
Naked Single: r2c9=8
Full House: r1c9=7
Naked Single: r3c4=6
Naked Single: r5c6=1
Full House: r5c5=7
Naked Single: r9c5=9
Full House: r9c4=4
Naked Single: r2c2=1
Naked Single: r1c2=8
Full House: r3c2=7
Naked Single: r3c5=1
Full House: r3c6=8
Naked Single: r6c4=3
Full House: r1c4=9
Naked Single: r1c5=3
Full House: r1c6=4
Naked Single: r6c6=2
Full House: r6c5=6
Naked Single: r8c5=5
Full House: r2c5=2
Full House: r2c6=5
Full House: r8c6=3
|
normal_sudoku_4482 | .2.6.9.1...57..9.2..9.82..6..42..167.1...723.....6...8.5.3..7....1..4.2.9........ | 327649815685713942149582376594238167816457239273961458458326791761894523932175684 | normal_sudoku_4482 | 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 . 9 . 1 .
. . 5 7 . . 9 . 2
. . 9 . 8 2 . . 6
. . 4 2 . . 1 6 7
. 1 . . . 7 2 3 .
. . . . 6 . . . 8
. 5 . 3 . . 7 . .
. . 1 . . 4 . 2 .
9 . . . . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 327649815685713942149582376594238167816457239273961458458326791761894523932175684 #1 Extreme (6736)
Hidden Single: r3c8=7
Finned X-Wing: 5 c68 r69 fr4c6 => r6c4<>5
Forcing Chain Contradiction in r5c5 => r4c5<>5
r4c5=5 r1c5<>5 r3c4=5 r3c4<>4 r56c4=4 r5c5<>4
r4c5=5 r5c5<>5
r4c5=5 r46c6<>5 r9c6=5 r9c8<>5 r6c8=5 r6c8<>9 r5c9=9 r5c5<>9
Sue de Coq: r4c12 - {3589} (r4c5 - {39}, r5c13 - {568}) => r6c1<>5, r4c6<>3
Forcing Chain Contradiction in r9 => r6c1<>7
r6c1=7 r6c1<>2 r7c1=2 r7c1<>4 r9c2=4 r9c2<>7
r6c1=7 r6c2<>7 r89c2=7 r9c3<>7
r6c1=7 r6c1<>2 r6c3=2 r9c3<>2 r9c5=2 r9c5<>7
Forcing Chain Contradiction in b7 => r1c1<>4
r1c1=4 r1c1<>7 r8c1=7 r8c1<>3
r1c1=4 r3c2<>4 r3c2=3 r8c2<>3
r1c1=4 r7c1<>4 r9c2=4 r9c2<>3
r1c1=4 r1c1<>7 r8c1=7 r8c5<>7 r9c5=7 r9c5<>2 r9c3=2 r9c3<>3
Almost Locked Set XZ-Rule: A=r1c13 {378}, B=r136c7 {3458}, X=8, Z=3 => r1c9<>3
Locked Candidates Type 1 (Pointing): 3 in b3 => r89c7<>3
Almost Locked Set XZ-Rule: A=r7c13568 {124689}, B=r9c4678 {14568}, X=1, Z=4 => r7c9<>4
Almost Locked Set XY-Wing: A=r7c9 {19}, B=r79c6,r9c4 {1568}, C=r279c8 {4589}, X,Y=5,9, Z=1 => r7c5<>1
Grouped Discontinuous Nice Loop: 3 r9c3 -3- r9c9 =3= r8c9 =9= r7c89 -9- r7c5 -2- r9c5 =2= r9c3 => r9c3<>3
Skyscraper: 3 in r1c3,r2c6 (connected by r6c36) => r1c5,r2c12<>3
Naked Pair: 4,5 in r1c59 => r1c7<>4, r1c7<>5
AIC: 2/3 2- r6c1 =2= r7c1 =4= r9c2 -4- r3c2 -3- r1c3 =3= r6c3 -3 => r6c3<>2, r6c1<>3
Naked Single: r6c1=2
Forcing Chain Contradiction in r9 => r3c1=1
r3c1<>1 r3c4=1 r3c4<>5 r3c7=5 r3c7<>3 r1c7=3 r1c3<>3 r6c3=3 r6c3<>7 r6c2=7 r9c2<>7
r3c1<>1 r3c4=1 r2c5<>1 r9c5=1 r9c5<>2 r9c3=2 r9c3<>7
r3c1<>1 r3c4=1 r2c5<>1 r9c5=1 r9c5<>7
Naked Pair: 4,5 in r1c5,r3c4 => r2c5<>4
Discontinuous Nice Loop: 5 r9c9 -5- r1c9 =5= r3c7 =3= r3c2 -3- r9c2 =3= r9c9 => r9c9<>5
Grouped Discontinuous Nice Loop: 8 r1c1 -8- r1c7 -3- r3c7 =3= r3c2 -3- r89c2 =3= r8c1 =7= r1c1 => r1c1<>8
Forcing Chain Contradiction in r5c9 => r7c9=1
r7c9<>1 r7c6=1 r6c6<>1 r6c4=1 r6c4<>4 r5c45=4 r5c9<>4
r7c9<>1 r9c9=1 r9c9<>3 r9c2=3 r3c2<>3 r3c7=3 r3c7<>5 r1c9=5 r5c9<>5
r7c9<>1 r7c9=9 r5c9<>9
2-String Kite: 9 in r5c9,r7c5 (connected by r7c8,r8c9) => r5c5<>9
Naked Pair: 4,5 in r15c5 => r89c5<>5
Empty Rectangle: 5 in b8 (r3c47) => r9c7<>5
W-Wing: 6/8 in r5c3,r7c6 connected by 8 in r4c6,r5c4 => r7c3<>6
Discontinuous Nice Loop: 3/8 r4c1 =5= r4c6 =8= r5c4 =9= r5c9 -9- r8c9 =9= r7c8 -9- r7c5 -2- r7c3 -8- r1c3 =8= r1c7 =3= r3c7 =5= r3c4 -5- r1c5 =5= r5c5 -5- r5c1 =5= r4c1 => r4c1<>3, r4c1<>8
Naked Single: r4c1=5
Naked Single: r4c6=8
Naked Single: r7c6=6
Naked Triple: 4,6,8 in r257c1 => r8c1<>6, r8c1<>8
X-Wing: 5 c68 r69 => r6c7,r9c4<>5
Naked Single: r6c7=4
W-Wing: 6/8 in r5c3,r9c7 connected by 8 in r1c37 => r9c3<>6
Hidden Single: r5c3=6
Naked Single: r5c1=8
Naked Single: r7c1=4
Naked Single: r2c1=6
Skyscraper: 8 in r1c7,r7c8 (connected by r17c3) => r2c8,r89c7<>8
Naked Single: r2c8=4
Naked Single: r9c7=6
Naked Single: r1c9=5
Naked Single: r2c2=8
Naked Single: r8c7=5
Naked Single: r1c5=4
Naked Single: r3c7=3
Full House: r1c7=8
Naked Single: r5c9=9
Full House: r6c8=5
Naked Single: r9c8=8
Full House: r7c8=9
Naked Single: r3c4=5
Full House: r3c2=4
Naked Single: r5c5=5
Full House: r5c4=4
Naked Single: r8c9=3
Full House: r9c9=4
Naked Single: r9c4=1
Naked Single: r7c5=2
Full House: r7c3=8
Naked Single: r8c1=7
Full House: r1c1=3
Full House: r1c3=7
Naked Single: r6c4=9
Full House: r8c4=8
Naked Single: r9c6=5
Naked Single: r9c5=7
Full House: r8c5=9
Full House: r8c2=6
Naked Single: r9c2=3
Full House: r9c3=2
Full House: r6c3=3
Naked Single: r4c5=3
Full House: r4c2=9
Full House: r6c2=7
Full House: r6c6=1
Full House: r2c5=1
Full House: r2c6=3
|
normal_sudoku_2071 | .6.1259.3821...57.359......9367.4....7........8..1..67512673.9.64....7...93...62. | 467125983821936574359847216936784152175362849284519367512673498648291735793458621 | normal_sudoku_2071 | 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 . 1 2 5 9 . 3
8 2 1 . . . 5 7 .
3 5 9 . . . . . .
9 3 6 7 . 4 . . .
. 7 . . . . . . .
. 8 . . 1 . . 6 7
5 1 2 6 7 3 . 9 .
6 4 . . . . 7 . .
. 9 3 . . . 6 2 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 467125983821936574359847216936784152175362849284519367512673498648291735793458621 #1 Easy (172)
Naked Single: r9c1=7
Full House: r8c3=8
Naked Single: r1c1=4
Full House: r1c3=7
Full House: r1c8=8
Naked Single: r6c1=2
Full House: r5c1=1
Naked Single: r6c6=9
Naked Single: r2c6=6
Naked Single: r2c9=4
Naked Single: r3c8=1
Naked Single: r7c9=8
Full House: r7c7=4
Naked Single: r3c7=2
Full House: r3c9=6
Naked Single: r4c8=5
Naked Single: r6c7=3
Naked Single: r4c5=8
Naked Single: r8c8=3
Full House: r5c8=4
Naked Single: r5c7=8
Full House: r4c7=1
Full House: r4c9=2
Full House: r5c9=9
Naked Single: r6c4=5
Full House: r6c3=4
Full House: r5c3=5
Naked Single: r3c5=4
Naked Single: r5c6=2
Naked Single: r3c4=8
Full House: r3c6=7
Naked Single: r9c5=5
Naked Single: r5c4=3
Full House: r5c5=6
Naked Single: r8c6=1
Full House: r9c6=8
Naked Single: r9c4=4
Full House: r9c9=1
Full House: r8c9=5
Naked Single: r8c5=9
Full House: r2c5=3
Full House: r2c4=9
Full House: r8c4=2
|
normal_sudoku_6017 | 41..6.2..58.4.21762..15..34.526..4....4.15.298...24....2.5463..3.52...41.4...15.2 | 413967285589432176276158934752693418634815729891724653128546397365279841947381562 | normal_sudoku_6017 | 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 . . 6 . 2 . .
5 8 . 4 . 2 1 7 6
2 . . 1 5 . . 3 4
. 5 2 6 . . 4 . .
. . 4 . 1 5 . 2 9
8 . . . 2 4 . . .
. 2 . 5 4 6 3 . .
3 . 5 2 . . . 4 1
. 4 . . . 1 5 . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 413967285589432176276158934752693418634815729891724653128546397365279841947381562 #1 Hard (1016)
Locked Candidates Type 1 (Pointing): 3 in b1 => r6c3<>3
Skyscraper: 8 in r3c6,r5c4 (connected by r35c7) => r1c4,r4c6<>8
Locked Candidates Type 1 (Pointing): 8 in b2 => r8c6<>8
Skyscraper: 8 in r5c4,r8c5 (connected by r58c7) => r4c5,r9c4<>8
Hidden Single: r5c4=8
Hidden Single: r5c2=3
Locked Pair: 6,7 in r56c7 => r6c8,r8c7<>6, r46c9,r8c7<>7
Hidden Single: r8c2=6
Hidden Single: r9c8=6
Hidden Single: r7c9=7
Hidden Single: r3c3=6
Hidden Single: r5c1=6
Full House: r5c7=7
Naked Single: r6c7=6
Locked Candidates Type 1 (Pointing): 7 in b7 => r9c45<>7
Skyscraper: 7 in r1c4,r3c2 (connected by r6c24) => r1c3,r3c6<>7
Hidden Single: r3c2=7
Full House: r6c2=9
Locked Candidates Type 1 (Pointing): 9 in b1 => r79c3<>9
Swordfish: 9 r348 c567 => r1c6,r29c5<>9
Naked Single: r2c5=3
Full House: r2c3=9
Full House: r1c3=3
Naked Single: r9c5=8
Naked Single: r9c3=7
Naked Single: r6c3=1
Full House: r4c1=7
Full House: r7c3=8
Naked Single: r9c1=9
Full House: r7c1=1
Full House: r7c8=9
Full House: r9c4=3
Full House: r8c7=8
Full House: r3c7=9
Full House: r3c6=8
Naked Single: r6c8=5
Naked Single: r4c5=9
Full House: r8c5=7
Full House: r8c6=9
Naked Single: r6c4=7
Full House: r6c9=3
Full House: r4c6=3
Full House: r1c6=7
Full House: r1c4=9
Naked Single: r1c8=8
Full House: r1c9=5
Full House: r4c9=8
Full House: r4c8=1
|
normal_sudoku_1295 | 9....8.6.62814...97..9...8.43..9....1.9....278.2....962...8.9..3867592..59....6.8 | 913528764628147539745963182437296815169835427852471396271684953386759241594312678 | normal_sudoku_1295 | 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 . 6 .
6 2 8 1 4 . . . 9
7 . . 9 . . . 8 .
4 3 . . 9 . . . .
1 . 9 . . . . 2 7
8 . 2 . . . . 9 6
2 . . . 8 . 9 . .
3 8 6 7 5 9 2 . .
5 9 . . . . 6 . 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 913528764628147539745963182437296815169835427852471396271684953386759241594312678 #1 Easy (256)
Hidden Single: r5c2=6
Naked Single: r5c5=3
Hidden Single: r3c5=6
Hidden Single: r6c7=3
Hidden Single: r5c7=4
Naked Single: r5c6=5
Full House: r5c4=8
Naked Single: r6c4=4
Hidden Single: r4c7=8
Hidden Single: r1c4=5
Hidden Single: r6c2=5
Full House: r4c3=7
Hidden Single: r3c3=5
Naked Single: r3c7=1
Naked Single: r1c7=7
Full House: r2c7=5
Naked Single: r3c2=4
Naked Single: r1c5=2
Naked Single: r2c8=3
Full House: r2c6=7
Full House: r3c6=3
Full House: r3c9=2
Full House: r1c9=4
Naked Single: r1c2=1
Full House: r1c3=3
Full House: r7c2=7
Naked Single: r9c5=1
Full House: r6c5=7
Full House: r6c6=1
Naked Single: r8c9=1
Full House: r8c8=4
Naked Single: r9c3=4
Full House: r7c3=1
Naked Single: r4c9=5
Full House: r4c8=1
Full House: r7c9=3
Naked Single: r7c8=5
Full House: r9c8=7
Naked Single: r9c6=2
Full House: r9c4=3
Naked Single: r7c4=6
Full House: r4c4=2
Full House: r4c6=6
Full House: r7c6=4
|
normal_sudoku_5984 | 97...5.2...3.....5...87....1....7.4...74.1...45...26........26...1....9.79...63.4 | 974135826813629475526874139182967543637451982459382617345798261261543798798216354 | normal_sudoku_5984 | 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 . . . 5 . 2 .
. . 3 . . . . . 5
. . . 8 7 . . . .
1 . . . . 7 . 4 .
. . 7 4 . 1 . . .
4 5 . . . 2 6 . .
. . . . . . 2 6 .
. . 1 . . . . 9 .
7 9 . . . 6 3 . 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 974135826813629475526874139182967543637451982459382617345798261261543798798216354 #1 Medium (616)
Locked Candidates Type 1 (Pointing): 2 in b2 => r2c12<>2
Locked Candidates Type 1 (Pointing): 8 in b5 => r789c5<>8
Locked Candidates Type 2 (Claiming): 1 in c7 => r13c9,r23c8<>1
Naked Single: r3c8=3
Locked Pair: 4,9 in r23c6 => r12c5,r78c6<>4, r2c45,r7c6<>9
Locked Candidates Type 2 (Claiming): 3 in c6 => r7c45,r8c45<>3
Naked Triple: 5,8,9 in r45c7,r5c8 => r456c9,r6c8<>8, r456c9<>9
Hidden Single: r3c9=9
Naked Single: r3c6=4
Naked Single: r2c6=9
Naked Single: r3c7=1
Hidden Single: r1c9=6
Hidden Single: r2c2=1
Hidden Single: r2c7=4
Naked Single: r1c7=8
Full House: r2c8=7
Naked Single: r1c3=4
Naked Single: r6c8=1
Hidden Single: r8c7=7
Naked Single: r8c9=8
Naked Single: r7c9=1
Full House: r9c8=5
Full House: r5c8=8
Naked Single: r8c6=3
Full House: r7c6=8
Naked Single: r7c3=5
Naked Single: r7c1=3
Naked Single: r7c2=4
Naked Single: r7c5=9
Full House: r7c4=7
Hidden Single: r2c1=8
Hidden Single: r6c9=7
Hidden Single: r9c3=8
Naked Single: r6c3=9
Naked Single: r6c4=3
Full House: r6c5=8
Naked Single: r1c4=1
Full House: r1c5=3
Naked Single: r9c4=2
Full House: r9c5=1
Naked Single: r2c4=6
Full House: r2c5=2
Naked Single: r8c4=5
Full House: r4c4=9
Full House: r8c5=4
Naked Single: r4c7=5
Full House: r5c7=9
Naked Single: r4c5=6
Full House: r5c5=5
Naked Single: r4c3=2
Full House: r3c3=6
Naked Single: r4c9=3
Full House: r4c2=8
Full House: r5c9=2
Naked Single: r5c1=6
Full House: r5c2=3
Naked Single: r3c2=2
Full House: r3c1=5
Full House: r8c1=2
Full House: r8c2=6
|
normal_sudoku_2615 | 413895...78..62...56..7....658.1.3..324.8.1.997142..5..4....98529..5..1.83....7.. | 413895267789162534562374891658719342324586179971423658146237985297658413835941726 | normal_sudoku_2615 | 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 3 8 9 5 . . .
7 8 . . 6 2 . . .
5 6 . . 7 . . . .
6 5 8 . 1 . 3 . .
3 2 4 . 8 . 1 . 9
9 7 1 4 2 . . 5 .
. 4 . . . . 9 8 5
2 9 . . 5 . . 1 .
8 3 . . . . 7 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 413895267789162534562374891658719342324586179971423658146237985297658413835941726 #1 Easy (170)
Full House: r7c1=1
Naked Single: r2c3=9
Full House: r3c3=2
Naked Single: r7c5=3
Full House: r9c5=4
Hidden Single: r3c6=4
Naked Single: r3c7=8
Naked Single: r6c7=6
Naked Single: r1c7=2
Naked Single: r5c8=7
Naked Single: r6c6=3
Full House: r6c9=8
Naked Single: r8c7=4
Full House: r2c7=5
Naked Single: r1c8=6
Full House: r1c9=7
Naked Single: r5c6=6
Full House: r5c4=5
Naked Single: r9c8=2
Naked Single: r7c6=7
Naked Single: r4c8=4
Full House: r4c9=2
Naked Single: r9c9=6
Full House: r8c9=3
Naked Single: r4c6=9
Full House: r4c4=7
Naked Single: r7c3=6
Full House: r7c4=2
Naked Single: r8c4=6
Naked Single: r8c6=8
Full House: r9c6=1
Full House: r8c3=7
Full House: r9c3=5
Full House: r9c4=9
Naked Single: r2c8=3
Full House: r3c8=9
Naked Single: r3c9=1
Full House: r2c9=4
Full House: r2c4=1
Full House: r3c4=3
|
normal_sudoku_2361 | .2.354.19..19672.56..281..321.536.945...981..9...12.5.....4.9.11...7..4..4.12.5.. | 728354619431967285695281473217536894564798132983412756376845921152679348849123567 | normal_sudoku_2361 | 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 5 4 . 1 9
. . 1 9 6 7 2 . 5
6 . . 2 8 1 . . 3
2 1 . 5 3 6 . 9 4
5 . . . 9 8 1 . .
9 . . . 1 2 . 5 .
. . . . 4 . 9 . 1
1 . . . 7 . . 4 .
. 4 . 1 2 . 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 728354619431967285695281473217536894564798132983412756376845921152679348849123567 #1 Medium (276)
Naked Single: r2c8=8
Naked Single: r3c8=7
Naked Single: r2c2=3
Full House: r2c1=4
Naked Single: r1c7=6
Full House: r3c7=4
Hidden Single: r9c9=7
Locked Candidates Type 1 (Pointing): 3 in b4 => r789c3<>3
Locked Candidates Type 1 (Pointing): 8 in b9 => r8c234<>8
Naked Single: r8c4=6
Naked Single: r7c4=8
Hidden Single: r6c2=8
Naked Single: r4c3=7
Full House: r4c7=8
Naked Single: r6c9=6
Naked Single: r1c3=8
Full House: r1c1=7
Naked Single: r5c2=6
Naked Single: r8c7=3
Full House: r6c7=7
Naked Single: r5c9=2
Full House: r5c8=3
Full House: r8c9=8
Naked Single: r7c1=3
Full House: r9c1=8
Naked Single: r9c8=6
Full House: r7c8=2
Naked Single: r6c4=4
Full House: r5c4=7
Full House: r5c3=4
Full House: r6c3=3
Naked Single: r7c6=5
Naked Single: r9c3=9
Full House: r9c6=3
Full House: r8c6=9
Naked Single: r7c2=7
Full House: r7c3=6
Naked Single: r3c3=5
Full House: r3c2=9
Full House: r8c2=5
Full House: r8c3=2
|
normal_sudoku_4514 | 6.13...5...5.261.3..7.1.6..169..2.3.2746.3...8531.9..6..2.9..655.826.3...46.3..8. | 621347859485926173937815624169452738274683591853179246312798465598264317746531982 | normal_sudoku_4514 | 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 . 1 3 . . . 5 .
. . 5 . 2 6 1 . 3
. . 7 . 1 . 6 . .
1 6 9 . . 2 . 3 .
2 7 4 6 . 3 . . .
8 5 3 1 . 9 . . 6
. . 2 . 9 . . 6 5
5 . 8 2 6 . 3 . .
. 4 6 . 3 . . 8 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 621347859485926173937815624169452738274683591853179246312798465598264317746531982 #1 Extreme (4300)
Locked Candidates Type 2 (Claiming): 5 in c5 => r4c4<>5
Hidden Rectangle: 5/8 in r4c57,r5c57 => r4c7<>8
Sue de Coq: r8c89 - {1479} (r8c2 - {19}, r7c7 - {47}) => r9c79<>7, r8c6<>1
Discontinuous Nice Loop: 2 r1c7 -2- r1c2 =2= r3c2 =3= r3c1 -3- r7c1 -7- r9c1 -9- r9c7 -2- r1c7 => r1c7<>2
Discontinuous Nice Loop: 8 r1c2 -8- r2c2 =8= r2c4 -8- r7c4 =8= r7c6 =1= r7c2 =3= r3c2 =2= r1c2 => r1c2<>8
Discontinuous Nice Loop: 9 r2c2 -9- r8c2 -1- r7c2 =1= r7c6 =8= r7c4 -8- r2c4 =8= r2c2 => r2c2<>9
Naked Single: r2c2=8
Discontinuous Nice Loop: 4 r3c6 -4- r8c6 -7- r9c4 -5- r9c6 =5= r3c6 => r3c6<>4
Forcing Chain Contradiction in r8c8 => r3c8<>9
r3c8=9 r5c8<>9 r5c8=1 r8c8<>1
r3c8=9 r1c79<>9 r1c2=9 r8c2<>9 r9c1=9 r9c1<>7 r7c1=7 r7c7<>7 r7c7=4 r8c8<>4
r3c8=9 r3c4<>9 r2c4=9 r2c4<>7 r2c8=7 r8c8<>7
r3c8=9 r8c8<>9
Forcing Chain Contradiction in r1 => r1c9<>4
r1c9=4 r1c9<>2 r1c2=2 r1c2<>9
r1c9=4 r3c8<>4 r3c8=2 r6c8<>2 r6c7=2 r9c7<>2 r9c7=9 r1c7<>9
r1c9=4 r1c9<>9
Forcing Chain Verity => r6c7<>7
r1c5=4 r6c5<>4 r6c5=7 r6c7<>7
r1c6=4 r8c6<>4 r8c6=7 r8c89<>7 r7c7=7 r6c7<>7
r1c7=4 r7c7<>4 r7c7=7 r6c7<>7
Skyscraper: 7 in r2c4,r6c5 (connected by r26c8) => r1c5,r4c4<>7
XY-Chain: 9 9- r8c2 -1- r7c2 -3- r7c1 -7- r7c7 -4- r6c7 -2- r9c7 -9 => r8c89,r9c1<>9
Naked Single: r9c1=7
Naked Single: r7c1=3
Naked Single: r9c4=5
Naked Single: r7c2=1
Full House: r8c2=9
Naked Single: r9c6=1
Naked Single: r1c2=2
Full House: r3c2=3
Hidden Single: r3c6=5
Locked Candidates Type 2 (Claiming): 9 in r1 => r2c8,r3c9<>9
Hidden Single: r5c8=9
Hidden Single: r5c9=1
Hidden Single: r8c8=1
W-Wing: 4/7 in r2c8,r7c7 connected by 7 in r27c4 => r1c7<>4
Locked Candidates Type 2 (Claiming): 4 in r1 => r23c4<>4
2-String Kite: 4 in r4c4,r8c9 (connected by r7c4,r8c6) => r4c9<>4
W-Wing: 7/4 in r2c8,r7c7 connected by 4 in r38c9 => r1c7<>7
X-Wing: 7 r18 c69 => r4c9,r7c6<>7
Naked Single: r4c9=8
Naked Single: r4c4=4
Naked Single: r5c7=5
Full House: r5c5=8
Naked Single: r6c5=7
Full House: r4c5=5
Full House: r4c7=7
Full House: r1c5=4
Naked Single: r7c7=4
Naked Single: r6c7=2
Full House: r6c8=4
Naked Single: r7c6=8
Full House: r7c4=7
Full House: r8c6=4
Full House: r8c9=7
Full House: r1c6=7
Naked Single: r9c7=9
Full House: r1c7=8
Full House: r1c9=9
Full House: r9c9=2
Full House: r3c9=4
Naked Single: r2c8=7
Full House: r3c8=2
Naked Single: r2c4=9
Full House: r2c1=4
Full House: r3c1=9
Full House: r3c4=8
|
normal_sudoku_349 | 48.25.376.6.73..48...6485.2.9.5..63.1...63..5356.8..2...7..54.....8...53......... | 481259376265731948973648512798512634142963785356487129827395461619874253534126897 | normal_sudoku_349 | 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 . 2 5 . 3 7 6
. 6 . 7 3 . . 4 8
. . . 6 4 8 5 . 2
. 9 . 5 . . 6 3 .
1 . . . 6 3 . . 5
3 5 6 . 8 . . 2 .
. . 7 . . 5 4 . .
. . . 8 . . . 5 3
. . . . . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 481259376265731948973648512798512634142963785356487129827395461619874253534126897 #1 Extreme (2620)
Locked Candidates Type 1 (Pointing): 1 in b2 => r4689c6<>1
Locked Candidates Type 1 (Pointing): 9 in b2 => r689c6<>9
Locked Candidates Type 1 (Pointing): 2 in b5 => r4c13<>2
Locked Candidates Type 1 (Pointing): 9 in b5 => r79c4<>9
Locked Candidates Type 1 (Pointing): 8 in b6 => r5c3<>8
Naked Pair: 1,9 in r2c67 => r2c13<>9, r2c3<>1
Hidden Pair: 6,8 in r7c18 => r7c1<>2, r7c18<>9, r7c8<>1
Empty Rectangle: 1 in b1 (r39c8) => r9c3<>1
W-Wing: 9/1 in r2c7,r7c9 connected by 1 in r39c8 => r89c7<>9
Uniqueness Test 4: 2/5 in r2c13,r9c13 => r9c13<>2
XY-Chain: 9 9- r2c7 -1- r3c8 -9- r3c1 -7- r4c1 -8- r7c1 -6- r7c8 -8- r5c8 -9 => r3c8,r56c7<>9
Naked Single: r3c8=1
Full House: r2c7=9
Naked Single: r2c6=1
Full House: r1c6=9
Full House: r1c3=1
Sue de Coq: r6c46 - {1479} (r6c7 - {17}, r5c4 - {49}) => r4c6<>4, r6c9<>1, r6c9<>7
2-String Kite: 7 in r6c6,r9c9 (connected by r4c9,r6c7) => r9c6<>7
XY-Chain: 1 1- r6c7 -7- r6c6 -4- r6c9 -9- r7c9 -1 => r4c9,r89c7<>1
Hidden Single: r4c5=1
Hidden Single: r6c7=1
Hidden Single: r8c2=1
Hidden Single: r4c6=2
Hidden Single: r6c6=7
Locked Candidates Type 1 (Pointing): 4 in b5 => r9c4<>4
XY-Chain: 2 2- r5c3 -4- r5c4 -9- r6c4 -4- r6c9 -9- r7c9 -1- r7c4 -3- r7c2 -2 => r5c2,r8c3<>2
Hidden Single: r5c3=2
Naked Single: r2c3=5
Full House: r2c1=2
Hidden Single: r9c1=5
Naked Triple: 4,6,9 in r8c136 => r8c5<>9
Locked Candidates Type 2 (Claiming): 9 in r8 => r9c3<>9
XY-Chain: 7 7- r3c2 -3- r3c3 -9- r8c3 -4- r4c3 -8- r4c1 -7 => r3c1,r5c2<>7
Naked Single: r3c1=9
Naked Single: r5c2=4
Naked Single: r3c3=3
Full House: r3c2=7
Naked Single: r8c1=6
Naked Single: r4c3=8
Full House: r4c1=7
Full House: r7c1=8
Full House: r4c9=4
Naked Single: r5c4=9
Full House: r6c4=4
Full House: r6c9=9
Naked Single: r8c6=4
Full House: r9c6=6
Naked Single: r9c3=4
Full House: r8c3=9
Naked Single: r7c8=6
Naked Single: r5c8=8
Full House: r5c7=7
Full House: r9c8=9
Naked Single: r7c9=1
Full House: r9c9=7
Naked Single: r8c7=2
Full House: r8c5=7
Full House: r9c7=8
Naked Single: r7c4=3
Full House: r9c4=1
Naked Single: r9c5=2
Full House: r7c5=9
Full House: r7c2=2
Full House: r9c2=3
|
normal_sudoku_1351 | ..9.6.1.7371.495.........39.9...582.82..9.75..35.8..9.4..92.3.5..3...9..95..37..8 | 289563147371249586546178239697415823824396751135782694468921375713854962952637418 | normal_sudoku_1351 | 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 . 1 . 7
3 7 1 . 4 9 5 . .
. . . . . . . 3 9
. 9 . . . 5 8 2 .
8 2 . . 9 . 7 5 .
. 3 5 . 8 . . 9 .
4 . . 9 2 . 3 . 5
. . 3 . . . 9 . .
9 5 . . 3 7 . . 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 289563147371249586546178239697415823824396751135782694468921375713854962952637418 #1 Unfair (1606)
Locked Candidates Type 1 (Pointing): 6 in b1 => r3c7<>6
Locked Candidates Type 1 (Pointing): 1 in b4 => r8c1<>1
Locked Candidates Type 1 (Pointing): 4 in b4 => r3c3<>4
Locked Candidates Type 1 (Pointing): 1 in b6 => r8c9<>1
Naked Pair: 4,8 in r1c28 => r1c46<>8
X-Wing: 2 c37 r39 => r3c146<>2
XY-Wing: 2/4/6 in r2c9,r36c7 => r456c9<>6
Hidden Single: r6c7=6
Locked Candidates Type 1 (Pointing): 4 in b6 => r8c9<>4
Sue de Coq: r4c13 - {1467} (r4c5 - {17}, r5c3 - {46}) => r4c49<>1, r4c4<>7
Continuous Nice Loop: 6/8 8= r7c3 =7= r8c1 =2= r8c9 =6= r2c9 -6- r2c8 -8- r1c8 =8= r1c2 -8- r3c3 =8= r7c3 =7 => r7c3,r8c1<>6, r3c2<>8
XY-Chain: 8 8- r1c2 -4- r3c2 -6- r3c1 -5- r1c1 -2- r8c1 -7- r7c3 -8 => r3c3,r78c2<>8
Hidden Single: r7c3=8
Hidden Single: r1c2=8
Naked Single: r1c8=4
Naked Single: r3c7=2
Full House: r9c7=4
Naked Single: r2c9=6
Full House: r2c8=8
Full House: r2c4=2
Naked Single: r3c3=6
Naked Single: r8c9=2
Naked Single: r1c6=3
Naked Single: r3c1=5
Naked Single: r3c2=4
Full House: r1c1=2
Full House: r1c4=5
Naked Single: r5c3=4
Naked Single: r9c3=2
Full House: r4c3=7
Naked Single: r8c1=7
Naked Single: r4c5=1
Naked Single: r6c1=1
Full House: r4c1=6
Naked Single: r3c5=7
Full House: r8c5=5
Naked Single: r5c6=6
Naked Single: r6c9=4
Naked Single: r5c4=3
Full House: r5c9=1
Full House: r4c9=3
Full House: r4c4=4
Naked Single: r7c6=1
Naked Single: r6c4=7
Full House: r6c6=2
Naked Single: r3c6=8
Full House: r3c4=1
Full House: r8c6=4
Naked Single: r7c2=6
Full House: r7c8=7
Full House: r8c2=1
Naked Single: r9c4=6
Full House: r8c4=8
Full House: r8c8=6
Full House: r9c8=1
|
normal_sudoku_6674 | ..8.314.714..758..7.3.8...5..7.5...8.8.7.26..69...8.7...68.37...7..6..8.8..5.7..6 | 958231467142675839763984125237456918481792653695318274526843791374169582819527346 | normal_sudoku_6674 | 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 . 3 1 4 . 7
1 4 . . 7 5 8 . .
7 . 3 . 8 . . . 5
. . 7 . 5 . . . 8
. 8 . 7 . 2 6 . .
6 9 . . . 8 . 7 .
. . 6 8 . 3 7 . .
. 7 . . 6 . . 8 .
8 . . 5 . 7 . . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 958231467142675839763984125237456918481792653695318274526843791374169582819527346 #1 Extreme (10548)
Locked Candidates Type 1 (Pointing): 2 in b2 => r8c4<>2
Finned Swordfish: 3 r258 c189 fr8c7 => r9c8<>3
Forcing Net Contradiction in b9 => r4c6=6
r4c6<>6 r4c4=6 (r1c4<>6) r2c4<>6 r2c8=6 r1c8<>6 r1c2=6 r1c2<>5 r7c2=5 r7c8<>5
r4c6<>6 (r4c4=6 r1c4<>6) r3c6=6 r2c4<>6 r2c8=6 (r2c8<>3 r2c9=3 r8c9<>3) (r2c8<>3) r1c8<>6 r1c2=6 r1c2<>5 r7c2=5 r7c8<>5 r5c8=5 r5c8<>3 r4c8=3 r4c2<>3 r9c2=3 r8c1<>3 r8c7=3 r8c7<>5
Forcing Chain Contradiction in c7 => r8c9<>9
r8c9=9 r8c6<>9 r3c6=9 r3c7<>9
r8c9=9 r8c46<>9 r79c5=9 r5c5<>9 r4c4=9 r4c7<>9
r8c9=9 r8c7<>9
r8c9=9 r9c7<>9
Forcing Net Contradiction in r7 => r1c4<>9
r1c4=9 (r1c1<>9) r3c6<>9 r8c6=9 r8c1<>9 r7c1=9
r1c4=9 (r1c1<>9) r3c6<>9 r8c6=9 (r7c5<>9) r8c1<>9 r7c1=9 r7c8<>9 r7c9=9
Almost Locked Set XZ-Rule: A=r12c4 {269}, B=r2c3,r3c2 {269}, X=9, Z=6 => r3c4<>6
Forcing Net Contradiction in r9 => r1c2<>2
r1c2=2 r9c2=3
r1c2=2 (r1c4<>2 r1c4=6 r2c4<>6 r2c8=6 r2c8<>3) r1c2<>5 r7c2=5 (r8c3<>5 r8c7=5 r8c7<>3) r7c8<>5 r5c8=5 r5c8<>3 r4c8=3 (r4c7<>3) r6c7<>3 r9c7=3
Forcing Net Contradiction in r7c8 => r6c9<>3
r6c9=3 (r6c9<>2) (r8c9<>3) (r5c8<>3) r5c9<>3 r5c1=3 r8c1<>3 r8c7=3 r8c7<>5 r6c7=5 r6c7<>2 r6c3=2 (r2c3<>2 r2c3=9 r1c1<>9 r1c8=9 r1c8<>6) r6c3<>5 r6c7=5 r5c8<>5 r7c8=5 r7c2<>5 r1c2=5 r1c2<>6 r1c4=6 r2c4<>6 r2c8=6 r2c8<>3 r2c9=3 r6c9<>3
Forcing Net Contradiction in r4c1 => r6c4<>1
r6c4=1 (r6c5<>1 r6c5=4 r6c9<>4 r6c9=2 r8c9<>2) (r8c4<>1) r6c4<>3 r6c7=3 (r5c9<>3 r5c1=3 r8c1<>3 r8c9=3 r8c9<>1) r6c7<>5 r8c7=5 (r8c7<>2) r8c7<>1 r8c3=1 r8c3<>2 r8c1=2 r4c1<>2
r6c4=1 r6c4<>3 r4c4=3 r4c1<>3
r6c4=1 (r8c4<>1) r6c4<>3 r6c7=3 (r5c9<>3 r5c1=3 r8c1<>3 r8c9=3 r8c9<>1) r6c7<>5 (r6c3=5 r5c3<>5) r8c7=5 r8c7<>1 r8c3=1 r5c3<>1 r5c3=4 r4c1<>4
Empty Rectangle: 1 in b4 (r48c4) => r8c3<>1
Forcing Chain Contradiction in r4 => r9c7<>1
r9c7=1 r9c3<>1 r79c2=1 r4c2<>1
r9c7=1 r8c79<>1 r8c4=1 r4c4<>1
r9c7=1 r4c7<>1
r9c7=1 r3c7<>1 r3c8=1 r4c8<>1
Forcing Chain Contradiction in r4 => r9c8<>1
r9c8=1 r9c3<>1 r79c2=1 r4c2<>1
r9c8=1 r8c79<>1 r8c4=1 r4c4<>1
r9c8=1 r3c8<>1 r3c7=1 r4c7<>1
r9c8=1 r4c8<>1
Forcing Net Contradiction in b5 => r6c4=3
r6c4<>3 r4c4=3 r4c4<>9
r6c4<>3 (r6c7=3 r5c8<>3 r2c8=3 r2c9<>3 r2c9=9 r7c9<>9) r6c4=4 r3c4<>4 r3c6=4 r8c6<>4 r8c6=9 r8c1<>9 r7c1=9 r1c1<>9 r1c8=9 r2c9<>9 r5c9=9 r5c5<>9
Forcing Net Contradiction in r4 => r5c8<>9
r5c8=9 (r5c8<>5 r7c8=5 r7c8<>4) (r5c8<>5 r7c8=5 r7c8<>1) (r4c7<>9) r4c8<>9 r4c4=9 (r2c4<>9 r2c9=9 r3c7<>9 r3c6=9 r8c6<>9 r8c6=4 r7c5<>4) r4c4<>1 r8c4=1 (r8c7<>1) r8c9<>1 r7c9=1 r7c9<>4 r7c1=4 r4c1<>4
r5c8=9 (r4c7<>9) r4c8<>9 r4c4=9 r4c4<>4
r5c8=9 (r1c8<>9 r1c1=9 r2c3<>9 r2c3=2 r6c3<>2 r6c9=2 r6c9<>4) (r5c8<>5 r7c8=5 r7c8<>1) (r4c7<>9) r4c8<>9 r4c4=9 (r2c4<>9 r2c9=9 r3c7<>9 r3c6=9 r8c6<>9 r8c6=4 r8c9<>4) r4c4<>1 r8c4=1 (r8c7<>1) r8c9<>1 r7c9=1 r7c9<>4 r5c9=4 r4c8<>4
Forcing Net Contradiction in b4 => r5c5<>1
r5c5=1 (r6c5<>1 r6c5=4 r9c5<>4) (r6c5<>1 r6c5=4 r6c9<>4) (r5c5<>9 r5c9=9 r5c9<>4) (r6c5<>1 r6c5=4 r4c4<>4) r4c4<>1 r8c4=1 r8c4<>4 r3c4=4 r3c6<>4 r8c6=4 r8c9<>4 r7c9=4 r9c8<>4 r9c3=4 r9c3<>1 r79c2=1 r4c2<>1
r5c5=1 r5c3<>1
r5c5=1 (r5c9<>1) (r6c5<>1 r6c5=4 r6c9<>4) (r5c5<>9 r5c9=9 r5c9<>4) (r6c5<>1 r6c5=4 r4c4<>4) r4c4<>1 r8c4=1 (r8c9<>1) r8c4<>4 r3c4=4 r3c6<>4 r8c6=4 r8c9<>4 r7c9=4 r7c9<>1 r6c9=1 r6c3<>1
Forcing Net Verity => r1c2=5
r1c1=9 r1c1<>5 r1c2=5
r7c1=9 (r8c1<>9) (r8c3<>9) (r7c5<>9) (r7c9<>9) r1c1<>9 r1c8=9 r2c9<>9 r5c9=9 (r4c7<>9 r4c4=9 r8c4<>9) r5c5<>9 r9c5=9 r8c6<>9 r8c7=9 r8c7<>5 r6c7=5 r5c8<>5 r7c8=5 r7c2<>5 r1c2=5
r8c1=9 (r8c1<>3 r9c2=3 r9c2<>1) (r8c4<>9) r8c6<>9 (r3c6=9 r3c4<>9 r4c4=9 r5c5<>9 r5c5=4 r5c3<>4) r8c6=4 r8c4<>4 r8c4=1 r9c5<>1 r9c3=1 r5c3<>1 r5c3=5 r5c8<>5 r7c8=5 r7c2<>5 r1c2=5
Hidden Single: r3c2=6
Hidden Rectangle: 2/6 in r1c48,r2c48 => r2c8<>2
Discontinuous Nice Loop: 2 r2c9 -2- r2c3 -9- r1c1 =9= r1c8 =6= r2c8 =3= r2c9 => r2c9<>2
Grouped Continuous Nice Loop: 2/4/9 2= r9c5 =1= r9c23 -1- r7c2 -2- r7c5 =2= r9c5 =1 => r7c189<>2, r9c5<>4, r9c5<>9
Sashimi Swordfish: 9 c359 r257 fr8c3 fr9c3 => r7c1<>9
Discontinuous Nice Loop: 4 r5c8 -4- r9c8 =4= r9c3 -4- r7c1 -5- r7c8 =5= r5c8 => r5c8<>4
Sashimi Swordfish: 4 c468 r348 fr7c8 fr9c8 => r8c9<>4
Finned Swordfish: 4 c359 r567 fr8c3 fr9c3 => r7c1<>4
Naked Single: r7c1=5
Hidden Single: r5c8=5
Hidden Single: r8c7=5
Hidden Single: r6c3=5
Locked Candidates Type 1 (Pointing): 2 in b4 => r4c78<>2
X-Wing: 3 r58 c19 => r2c9,r4c1<>3
Naked Single: r2c9=9
Naked Single: r2c3=2
Full House: r1c1=9
Naked Single: r2c4=6
Full House: r2c8=3
Naked Single: r1c4=2
Full House: r1c8=6
Hidden Single: r5c5=9
Hidden Single: r7c8=9
Hidden Single: r4c7=9
Hidden Single: r9c3=9
Naked Single: r8c3=4
Full House: r5c3=1
Naked Single: r8c6=9
Full House: r3c6=4
Full House: r3c4=9
Naked Single: r8c4=1
Full House: r4c4=4
Full House: r6c5=1
Naked Single: r9c5=2
Full House: r7c5=4
Naked Single: r4c1=2
Naked Single: r4c8=1
Full House: r4c2=3
Full House: r5c1=4
Full House: r8c1=3
Full House: r5c9=3
Full House: r8c9=2
Naked Single: r6c7=2
Full House: r6c9=4
Full House: r7c9=1
Full House: r7c2=2
Full House: r9c2=1
Naked Single: r9c7=3
Full House: r9c8=4
Full House: r3c8=2
Full House: r3c7=1
|
normal_sudoku_1211 | .81.9.36736....14.2.4613...753.4.9..612389475.4.7.....1.6..........356.1.3......4 | 581294367369578142274613859753142986612389475948756213196427538427835691835961724 | normal_sudoku_1211 | 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 1 . 9 . 3 6 7
3 6 . . . . 1 4 .
2 . 4 6 1 3 . . .
7 5 3 . 4 . 9 . .
6 1 2 3 8 9 4 7 5
. 4 . 7 . . . . .
1 . 6 . . . . . .
. . . . 3 5 6 . 1
. 3 . . . . . . 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 581294367369578142274613859753142986612389475948756213196427538427835691835961724 #1 Easy (198)
Naked Single: r1c1=5
Hidden Single: r2c9=2
Hidden Single: r3c2=7
Full House: r2c3=9
Naked Single: r6c3=8
Full House: r6c1=9
Naked Single: r6c7=2
Naked Single: r8c3=7
Full House: r9c3=5
Naked Single: r9c1=8
Full House: r8c1=4
Naked Single: r9c7=7
Hidden Single: r6c5=5
Naked Single: r2c5=7
Naked Single: r2c6=8
Full House: r2c4=5
Naked Single: r7c5=2
Full House: r9c5=6
Naked Single: r7c2=9
Full House: r8c2=2
Naked Single: r9c6=1
Naked Single: r6c6=6
Naked Single: r9c4=9
Full House: r9c8=2
Naked Single: r4c6=2
Full House: r4c4=1
Naked Single: r6c9=3
Full House: r6c8=1
Naked Single: r8c4=8
Full House: r8c8=9
Naked Single: r1c6=4
Full House: r1c4=2
Full House: r7c4=4
Full House: r7c6=7
Naked Single: r4c8=8
Full House: r4c9=6
Naked Single: r7c9=8
Full House: r3c9=9
Naked Single: r3c8=5
Full House: r3c7=8
Full House: r7c7=5
Full House: r7c8=3
|
normal_sudoku_1491 | .34.625.78..1.....9....7...4137586.96952....1728619354......412..6....38.4..8..65 | 134862597867195243952347186413758629695234871728619354389576412576421938241983765 | normal_sudoku_1491 | 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 . 6 2 5 . 7
8 . . 1 . . . . .
9 . . . . 7 . . .
4 1 3 7 5 8 6 . 9
6 9 5 2 . . . . 1
7 2 8 6 1 9 3 5 4
. . . . . . 4 1 2
. . 6 . . . . 3 8
. 4 . . 8 . . 6 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 134862597867195243952347186413758629695234871728619354389576412576421938241983765 #1 Easy (156)
Full House: r4c8=2
Naked Single: r1c1=1
Naked Single: r3c3=2
Naked Single: r2c3=7
Naked Single: r7c3=9
Full House: r9c3=1
Naked Single: r9c6=3
Naked Single: r5c6=4
Full House: r5c5=3
Naked Single: r7c4=5
Naked Single: r7c5=7
Naked Single: r9c1=2
Naked Single: r9c4=9
Full House: r9c7=7
Full House: r8c7=9
Naked Single: r2c6=5
Naked Single: r3c5=4
Naked Single: r7c1=3
Full House: r8c1=5
Naked Single: r7c6=6
Full House: r8c6=1
Full House: r7c2=8
Full House: r8c2=7
Naked Single: r1c4=8
Full House: r1c8=9
Naked Single: r8c4=4
Full House: r8c5=2
Full House: r2c5=9
Full House: r3c4=3
Naked Single: r5c7=8
Full House: r5c8=7
Naked Single: r2c7=2
Full House: r3c7=1
Naked Single: r2c2=6
Full House: r3c2=5
Naked Single: r3c8=8
Full House: r2c8=4
Full House: r3c9=6
Full House: r2c9=3
|
normal_sudoku_4247 | .........326....9..793.........8...4.9847153.7..6.....9..2...6......41.9....5...8 | 581927643326845791479316285163582974298471536754693812915238467832764159647159328 | normal_sudoku_4247 | 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 . . . . 9 .
. 7 9 3 . . . . .
. . . . 8 . . . 4
. 9 8 4 7 1 5 3 .
7 . . 6 . . . . .
9 . . 2 . . . 6 .
. . . . . 4 1 . 9
. . . . 5 . . . 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 581927643326845791479316285163582974298471536754693812915238467832764159647159328 #1 Extreme (15304)
Forcing Chain Contradiction in r1c8 => r1c5<>1
r1c5=1 r1c8<>1
r1c5=1 r7c5<>1 r7c5=3 r7c79<>3 r9c7=3 r9c7<>2 r89c8=2 r1c8<>2
r1c5=1 r1c123<>1 r3c1=1 r3c1<>4 r1c123=4 r1c8<>4
r1c5=1 r1c123<>1 r3c1=1 r3c1<>5 r1c123=5 r1c8<>5
r1c5=1 r1c5<>9 r6c5=9 r6c7<>9 r4c7=9 r4c7<>7 r4c8=7 r1c8<>7
r1c5=1 r1c123<>1 r3c1=1 r3c1<>8 r1c12=8 r1c8<>8
Forcing Chain Contradiction in r1c8 => r1c5<>4
r1c5=4 r1c123<>4 r3c1=4 r3c1<>1 r1c123=1 r1c8<>1
r1c5=4 r2c5<>4 r2c5=1 r7c5<>1 r7c5=3 r7c79<>3 r9c7=3 r9c7<>2 r89c8=2 r1c8<>2
r1c5=4 r1c8<>4
r1c5=4 r1c123<>4 r3c1=4 r3c1<>5 r1c123=5 r1c8<>5
r1c5=4 r1c5<>9 r6c5=9 r6c7<>9 r4c7=9 r4c7<>7 r4c8=7 r1c8<>7
r1c5=4 r1c123<>4 r3c1=4 r3c1<>8 r1c12=8 r1c8<>8
Forcing Net Contradiction in r4 => r2c5=4
r2c5<>4 (r2c7=4 r7c7<>4 r7c7=7 r7c6<>7 r7c6=8 r2c6<>8) (r2c7=4 r7c7<>4 r7c7=7 r7c9<>7) r2c5=1 r7c5<>1 r7c5=3 r7c9<>3 r1c9=3 r1c9<>7 r2c9=7 r2c6<>7 r2c6=5 (r1c4<>5) r2c4<>5 r4c4=5 r4c4<>9
r2c5<>4 r2c5=1 (r1c4<>1) r2c4<>1 r9c4=1 r9c4<>9 r9c6=9 r4c6<>9
r2c5<>4 (r2c5=1 r2c4<>1 r9c4=1 r9c1<>1) (r2c5=1 r2c4<>1 r9c4=1 r9c2<>1) (r2c5=1 r7c5<>1 r7c5=3 r7c9<>3 r1c9=3 r1c7<>3 r9c7=3 r9c2<>3) r2c7=4 (r1c8<>4) r3c8<>4 r9c8=4 (r9c1<>4) r9c2<>4 r9c2=6 r9c1<>6 r9c1=2 r5c1<>2 r5c1=6 (r4c1<>6) r4c2<>6 r4c7=6 r4c7<>9
Forcing Net Contradiction in r1c8 => r1c4<>5
r1c4=5 (r1c1<>5) (r1c2<>5) r1c3<>5 r3c1=5 r3c1<>1 r1c123=1 r1c8<>1
r1c4=5 (r4c4<>5 r4c4=9 r9c4<>9) (r2c4<>5) r2c6<>5 r2c9=5 r2c9<>1 r2c4=1 r9c4<>1 r9c4=7 (r7c6<>7) r8c4<>7 r8c4=8 r7c6<>8 r7c6=3 (r7c7<>3) r7c9<>3 r1c9=3 r1c7<>3 r9c7=3 r9c7<>2 r89c8=2 r1c8<>2
r1c4=5 (r1c1<>5) (r1c2<>5) r1c3<>5 r3c1=5 r3c1<>4 r1c123=4 r1c8<>4
r1c4=5 r1c8<>5
r1c4=5 (r1c3<>5 r3c1=5 r8c1<>5) (r4c4<>5 r4c4=9 r9c4<>9 r9c6=9 r9c6<>6 r8c5=6 r8c1<>6) (r1c4<>8) (r2c4<>5) r2c6<>5 r2c9=5 r2c9<>1 r2c4=1 r2c4<>8 r8c4=8 r8c1<>8 r8c1=2 r5c1<>2 r5c9=2 (r4c8<>2) r6c9<>2 r6c9=1 r4c8<>1 r4c8=7 r1c8<>7
r1c4=5 r4c4<>5 r4c4=9 (r6c5<>9) r6c6<>9 r6c7=9 r6c7<>8 r6c8=8 r1c8<>8
Grouped Discontinuous Nice Loop: 5 r4c6 -5- r4c4 =5= r2c4 =1= r2c9 -1- r6c9 -2- r6c56 =2= r4c6 => r4c6<>5
Forcing Chain Contradiction in r6 => r6c2<>3
r6c2=3 r6c2<>5
r6c2=3 r6c2<>4 r6c3=4 r6c3<>5
r6c2=3 r4c23<>3 r4c6=3 r4c6<>2 r6c56=2 r6c9<>2 r6c9=1 r2c9<>1 r2c4=1 r2c4<>5 r4c4=5 r6c6<>5
Forcing Chain Contradiction in r6 => r4c6<>3
r4c6=3 r4c23<>3 r6c3=3 r6c3<>4 r6c2=4 r6c2<>5
r4c6=3 r4c23<>3 r6c3=3 r6c3<>5
r4c6=3 r4c6<>2 r6c56=2 r6c9<>2 r6c9=1 r2c9<>1 r2c4=1 r2c4<>5 r4c4=5 r6c6<>5
Locked Candidates Type 1 (Pointing): 3 in b5 => r6c3<>3
Forcing Chain Contradiction in r6 => r6c3<>2
r6c3=2 r6c3<>4 r6c2=4 r6c2<>5
r6c3=2 r6c3<>5
r6c3=2 r6c9<>2 r6c9=1 r2c9<>1 r2c4=1 r2c4<>5 r4c4=5 r6c6<>5
Forcing Net Contradiction in r4c4 => r4c4=5
r4c4<>5 (r2c4=5 r3c6<>5 r6c6=5 r6c6<>3) r4c4=9 (r4c6<>9 r4c6=2 r4c3<>2 r5c1=2 r8c1<>2) (r6c5<>9 r1c5=9 r1c5<>2 r3c5=2 r3c5<>6 r8c5=6 r8c1<>6) r9c4<>9 r9c6=9 r9c6<>3 r7c6=3 r7c6<>8 r7c2=8 (r7c2<>5) r8c1<>8 r8c1=5 r7c3<>5 r7c9=5 (r7c9<>7) r7c9<>3 r1c9=3 r1c9<>7 r2c9=7 r2c9<>1 r2c4=1 r2c4<>5 r4c4=5
Hidden Pair: 4,5 in r6c23 => r6c23<>1
Locked Candidates Type 1 (Pointing): 1 in b4 => r4c8<>1
Discontinuous Nice Loop: 7 r2c4 -7- r2c7 -8- r6c7 =8= r6c8 =1= r6c9 -1- r2c9 =1= r2c4 => r2c4<>7
Grouped Discontinuous Nice Loop: 1 r1c9 -1- r6c9 =1= r6c8 =8= r6c7 -8- r2c7 -7- r12c9 =7= r7c9 =3= r1c9 => r1c9<>1
Almost Locked Set XY-Wing: A=r9c123678 {1234679}, B=r7c6,r8c4 {378}, C=r46c6 {239}, X,Y=3,9, Z=7 => r9c4<>7
Forcing Net Contradiction in r3 => r1c7<>8
r1c7=8 (r1c1<>8) r1c2<>8 r3c1=8 r3c1<>4
r1c7=8 (r2c7<>8 r2c7=7 r2c6<>7) (r2c7<>8 r2c7=7 r2c9<>7) r6c7<>8 r6c8=8 r6c8<>1 r6c9=1 r2c9<>1 (r2c4=1 r2c4<>8 r8c4=8 r7c6<>8 r7c2=8 r7c2<>4) (r2c4=1 r2c4<>8 r8c4=8 r7c6<>8 r7c2=8 r7c2<>5) r2c9=5 r2c6<>5 r2c6=8 r2c6<>5 r2c9=5 r7c9<>5 r7c3=5 r7c3<>4 r7c7=4 r3c7<>4
r1c7=8 (r1c2<>8 r3c1=8 r3c1<>1) r6c7<>8 r6c8=8 r6c8<>1 r6c9=1 (r3c9<>1) r2c9<>1 r2c4=1 r3c5<>1 r3c8=1 r3c8<>4
Forcing Net Contradiction in r9 => r1c8<>7
r1c8=7 (r4c8<>7 r4c8=2 r8c8<>2 r8c8=5 r8c1<>5) (r2c7<>7 r2c7=8 r3c7<>8) (r2c7<>7 r2c7=8 r3c8<>8) (r2c7<>7 r2c7=8 r2c4<>8) r1c4<>7 r8c4=7 r8c4<>8 r1c4=8 r3c6<>8 r3c1=8 r8c1<>8 r8c1=6 (r9c1<>6) (r4c1<>6) r5c1<>6 r5c1=2 (r9c1<>2) (r8c1<>2) r4c1<>2 r4c1=1 r9c1<>1 r9c1=4
r1c8=7 (r9c8<>7) r4c8<>7 r4c8=2 r9c8<>2 r9c8=4
Forcing Net Contradiction in c6 => r1c9<>2
r1c9=2 (r6c9<>2 r6c9=1 r3c9<>1 r3c9=5 r3c6<>5) (r5c9<>2 r5c9=6 r4c7<>6) r1c9<>3 (r7c9=3 r7c5<>3 r7c5=1 r3c5<>1) r1c7=3 r1c7<>6 r3c7=6 (r3c6<>6) r3c5<>6 r3c5=2 r3c6<>2 r3c6=8
r1c9=2 (r5c9<>2 r5c1=2 r8c1<>2) (r3c9<>2) (r5c9<>2 r5c9=6 r3c9<>6) r6c9<>2 r6c9=1 r3c9<>1 r3c9=5 (r1c8<>5) r3c8<>5 r8c8=5 (r8c8<>7) r8c8<>2 r8c3=2 r8c3<>7 r8c4=7 r8c4<>8 r7c6=8
Forcing Net Contradiction in c6 => r1c5<>6
r1c5=6 (r1c5<>9) (r1c6<>6) r3c6<>6 r9c6=6 r9c6<>9 r9c4=9 r1c4<>9 r1c6=9 r1c6<>7
r1c5=6 r1c5<>9 r6c5=9 (r6c5<>2 r3c5=2 r3c9<>2) r4c6<>9 r4c6=2 (r4c1<>2) r4c3<>2 r5c1=2 r5c9<>2 r6c9=2 r6c9<>1 r6c8=1 r6c8<>8 r6c7=8 r2c7<>8 r2c7=7 r2c6<>7
r1c5=6 r1c5<>9 r6c5=9 (r6c5<>2 r3c5=2 r3c9<>2) r4c6<>9 r4c6=2 (r4c1<>2) r4c3<>2 r5c1=2 r5c9<>2 r6c9=2 r6c9<>1 r6c8=1 r6c8<>8 r6c7=8 r2c7<>8 r2c7=7 (r1c9<>7) r2c9<>7 r7c9=7 r7c6<>7
r1c5=6 (r1c6<>6) r3c6<>6 r9c6=6 r9c6<>7
Forcing Net Contradiction in r9 => r1c7<>7
r1c7=7 (r2c9<>7 r2c6=7 r2c6<>5 r2c9=5 r3c8<>5 r8c8=5 r8c1<>5) (r1c4<>7 r8c4=7 r8c4<>8 r1c4=8 r3c6<>8 r3c1=8 r8c1<>8) (r1c7<>6) r1c7<>3 r1c9=3 r1c9<>6 r1c6=6 r3c5<>6 r8c5=6 r8c1<>6 r8c1=2 (r9c1<>2) (r4c1<>2) r5c1<>2 r5c1=6 (r9c1<>6) r4c1<>6 r4c1=1 r9c1<>1 r9c1=4
r1c7=7 (r1c7<>2) (r2c7<>7 r2c7=8 r2c4<>8 r2c4=1 r3c5<>1) (r1c7<>6) r1c7<>3 r1c9=3 r1c9<>6 r1c6=6 (r1c6<>2) r3c5<>6 r3c5=2 r1c5<>2 r1c8=2 (r9c8<>2) r4c8<>2 r4c8=7 r9c8<>7 r9c8=4
Forcing Net Contradiction in c1 => r1c9<>5
r1c9=5 (r1c3<>5 r3c1=5 r3c6<>5) (r1c9<>6) r1c9<>3 (r7c9=3 r7c9<>7 r2c9=7 r2c7<>7 r2c7=8 r1c8<>8) (r7c9=3 r7c5<>3 r7c5=1 r3c5<>1) r1c7=3 r1c7<>6 r1c6=6 (r1c6<>7 r1c4=7 r1c4<>8) (r1c6<>8) (r3c6<>6) r3c5<>6 r3c5=2 r3c6<>2 r3c6=8 r7c6<>8 r7c2=8 r1c2<>8 r1c1=8 r1c1<>4
r1c9=5 (r1c1<>5) (r1c2<>5) r1c3<>5 r3c1=5 r3c1<>4
r1c9=5 (r1c9<>6) r1c9<>3 (r7c9=3 r7c5<>3 r7c5=1 r3c5<>1) r1c7=3 (r1c7<>2) r1c7<>6 r1c6=6 (r1c6<>2) r3c5<>6 r3c5=2 r1c5<>2 r1c8=2 (r9c8<>2) r4c8<>2 r4c8=7 r9c8<>7 r9c8=4 r9c1<>4
Forcing Net Contradiction in r9 => r1c9<>7
r1c9=7 (r2c9<>7 r2c6=7 r2c6<>5 r2c9=5 r3c8<>5 r8c8=5 r8c1<>5) (r1c9<>6) r1c9<>3 (r7c9=3 r7c6<>3 r7c6=8 r3c6<>8 r3c1=8 r8c1<>8) r1c7=3 r1c7<>6 r1c6=6 r3c5<>6 r8c5=6 r8c1<>6 r8c1=2 (r9c1<>2) (r4c1<>2) r5c1<>2 r5c1=6 (r9c1<>6) r4c1<>6 r4c1=1 r9c1<>1 r9c1=4
r1c9=7 (r2c7<>7 r2c7=8 r2c4<>8 r2c4=1 r3c5<>1) (r1c9<>6) r1c9<>3 r1c7=3 (r1c7<>2) r1c7<>6 r1c6=6 (r1c6<>2) r3c5<>6 r3c5=2 r1c5<>2 r1c8=2 (r9c8<>2) r4c8<>2 r4c8=7 r9c8<>7 r9c8=4
Locked Candidates Type 1 (Pointing): 7 in b3 => r2c6<>7
Forcing Net Contradiction in c2 => r2c6=5
r2c6<>5 (r2c9=5 r3c8<>5 r8c8=5 r8c8<>2) r2c6=8 (r2c4<>8 r8c4=8 r8c4<>7) r2c7<>8 r2c7=7 r2c9<>7 r7c9=7 r8c8<>7 r8c3=7 (r8c3<>2) r8c3<>2 r8c1=2 r9c3<>2 r4c3=2 r4c3<>3 r4c2=3
r2c6<>5 r2c6=8 (r2c4<>8 r8c4=8 r8c4<>7) r2c7<>8 r2c7=7 r2c9<>7 r7c9=7 (r7c6<>7 r7c6=3 r8c5<>3) r8c8<>7 r8c3=7 r8c3<>3 r8c2=3
Sue de Coq: r13c8 - {12458} (r489c8 - {2457}, r2c79 - {178}) => r3c7<>8, r3c9<>1, r6c8<>2
Forcing Chain Contradiction in r8c8 => r9c8<>7
r9c8=7 r4c8<>7 r4c8=2 r8c8<>2
r9c8=7 r4c8<>7 r4c8=2 r56c9<>2 r3c9=2 r3c9<>5 r7c9=5 r8c8<>5
r9c8=7 r8c8<>7
Forcing Net Contradiction in c1 => r4c8=7
r4c8<>7 r4c8=2 r6c9<>2 (r3c9=2 r3c7<>2) (r3c9=2 r3c5<>2) r6c9=1 r2c9<>1 r2c4=1 r3c5<>1 r3c5=6 r3c7<>6 r3c7=4 (r3c1<>4) r3c8<>4 r9c8=4 (r1c8<>4) r9c1<>4 r1c1=4 r1c1<>8
r4c8<>7 r4c8=2 r6c9<>2 (r3c9=2 r3c6<>2) (r3c9=2 r3c5<>2) r6c9=1 r2c9<>1 r2c4=1 r3c5<>1 r3c5=6 r3c6<>6 r3c6=8 r3c1<>8
r4c8<>7 r8c8=7 r8c4<>7 r8c4=8 r8c1<>8
Forcing Net Verity => r1c1<>1
r9c1=1 r1c1<>1
r9c1=2 (r4c1<>2) r5c1<>2 r5c1=6 r4c1<>6 r4c1=1 r1c1<>1
r9c1=4 r9c8<>4 r9c8=2 r8c8<>2 r8c8=5 (r8c1<>5) r7c9<>5 r3c9=5 r3c1<>5 r1c1=5 r1c1<>1
r9c1=6 (r4c1<>6) r5c1<>6 r5c1=2 r4c1<>2 r4c1=1 r1c1<>1
Forcing Net Verity => r1c1<>4
r1c8=5 (r1c8<>8) r3c9<>5 (r3c1=5 r3c1<>8) r7c9=5 r7c9<>7 r2c9=7 r2c7<>7 r2c7=8 r3c8<>8 r3c6=8 (r1c4<>8) (r1c6<>8) r7c6<>8 r7c2=8 r1c2<>8 r1c1=8 r1c1<>4
r3c8=5 (r3c8<>8) (r3c8<>1) r3c9<>5 r7c9=5 r7c9<>7 r2c9=7 (r2c7<>7 r2c7=8 r1c8<>8) r2c9<>1 r6c9=1 r6c8<>1 r1c8=1 (r1c2<>1) r1c3<>1 r3c1=1 r3c1<>8 r3c6=8 (r1c4<>8 r1c4=7 r1c4<>8) (r1c6<>8) r7c6<>8 r7c2=8 r1c2<>8 r1c1=8 r1c1<>4
r8c8=5 (r8c1<>5) r7c9<>5 r3c9=5 r3c1<>5 r1c1=5 r1c1<>4
Empty Rectangle: 4 in b9 (r39c1) => r3c7<>4
Sue de Coq: r1c78 - {1234568} (r1c123 - {1458}, r1c9,r3c7 - {236}) => r3c89<>2, r3c9<>6, r1c4<>1, r1c46<>8
Naked Single: r3c9=5
Hidden Single: r8c8=5
Hidden Single: r1c1=5
Locked Candidates Type 1 (Pointing): 2 in b9 => r9c13<>2
Locked Candidates Type 2 (Claiming): 2 in c9 => r46c7<>2
Skyscraper: 8 in r2c4,r3c1 (connected by r8c14) => r3c6<>8
Hidden Single: r7c6=8
Naked Single: r8c4=7
Naked Single: r1c4=9
Naked Single: r1c5=2
Naked Single: r9c4=1
Full House: r2c4=8
Naked Single: r3c6=6
Naked Single: r7c5=3
Naked Single: r2c7=7
Full House: r2c9=1
Naked Single: r1c6=7
Full House: r3c5=1
Naked Single: r3c7=2
Naked Single: r6c5=9
Full House: r8c5=6
Full House: r9c6=9
Naked Single: r7c9=7
Naked Single: r7c7=4
Naked Single: r6c9=2
Naked Single: r4c6=2
Full House: r6c6=3
Naked Single: r6c7=8
Naked Single: r9c7=3
Full House: r9c8=2
Naked Single: r5c9=6
Full House: r1c9=3
Full House: r5c1=2
Naked Single: r6c8=1
Full House: r4c7=9
Full House: r1c7=6
Naked Single: r8c1=8
Naked Single: r3c1=4
Full House: r3c8=8
Full House: r1c8=4
Naked Single: r8c2=3
Full House: r8c3=2
Naked Single: r1c3=1
Full House: r1c2=8
Naked Single: r9c1=6
Full House: r4c1=1
Naked Single: r4c3=3
Full House: r4c2=6
Naked Single: r7c3=5
Full House: r7c2=1
Naked Single: r9c2=4
Full House: r6c2=5
Full House: r6c3=4
Full House: r9c3=7
|
normal_sudoku_6127 | ....5179...968...1...7.9.68....186..18.9.6.7.3.257481.5...6798....19..569.68.51.7 | 638451792759682341241739568497318625185926473362574819513267984874193256926845137 | normal_sudoku_6127 | 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 7 9 .
. . 9 6 8 . . . 1
. . . 7 . 9 . 6 8
. . . . 1 8 6 . .
1 8 . 9 . 6 . 7 .
3 . 2 5 7 4 8 1 .
5 . . . 6 7 9 8 .
. . . 1 9 . . 5 6
9 . 6 8 . 5 1 . 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 638451792759682341241739568497318625185926473362574819513267984874193256926845137 #1 Extreme (2186)
Naked Single: r6c9=9
Full House: r6c2=6
Hidden Single: r1c1=6
Hidden Single: r4c2=9
Hidden Single: r1c3=8
Hidden Single: r8c1=8
Locked Candidates Type 1 (Pointing): 5 in b3 => r5c7<>5
Locked Candidates Type 1 (Pointing): 5 in b4 => r3c3<>5
Locked Candidates Type 1 (Pointing): 2 in b7 => r123c2<>2
Turbot Fish: 2 r1c9 =2= r1c4 -2- r4c4 =2= r5c5 => r5c9<>2
Hidden Rectangle: 4/5 in r4c39,r5c39 => r4c9<>4
Discontinuous Nice Loop: 2 r3c7 -2- r3c1 -4- r3c5 =4= r1c4 =2= r1c9 -2- r3c7 => r3c7<>2
Grouped Discontinuous Nice Loop: 3 r8c2 -3- r1c2 -4- r23c1 =4= r4c1 =7= r4c3 -7- r8c3 =7= r8c2 => r8c2<>3
Finned Franken Swordfish: 2 c68b5 r249 fr5c5 fr8c6 => r9c5<>2
Jellyfish: 2 r1479 c2489 => r2c8,r8c2<>2
W-Wing: 3/4 in r1c2,r9c5 connected by 4 in r17c4 => r9c2<>3
2-String Kite: 3 in r2c6,r9c8 (connected by r8c6,r9c5) => r2c8<>3
Naked Single: r2c8=4
Locked Candidates Type 1 (Pointing): 4 in b6 => r5c3<>4
Naked Single: r5c3=5
Hidden Single: r4c9=5
Remote Pair: 3/2 r5c5 -2- r4c4 -3- r4c8 -2- r9c8 => r9c5<>3
Naked Single: r9c5=4
Naked Single: r9c2=2
Full House: r9c8=3
Full House: r4c8=2
Naked Single: r4c4=3
Full House: r5c5=2
Full House: r3c5=3
Naked Single: r7c4=2
Full House: r1c4=4
Full House: r2c6=2
Full House: r8c6=3
Naked Single: r3c7=5
Naked Single: r7c9=4
Full House: r8c7=2
Naked Single: r1c2=3
Full House: r1c9=2
Full House: r2c7=3
Full House: r5c9=3
Full House: r5c7=4
Naked Single: r2c1=7
Full House: r2c2=5
Naked Single: r7c2=1
Full House: r7c3=3
Naked Single: r4c1=4
Full House: r3c1=2
Full House: r4c3=7
Naked Single: r3c2=4
Full House: r3c3=1
Full House: r8c3=4
Full House: r8c2=7
|
normal_sudoku_1836 | 7.5.6..982....7.639.6.....44986.1...157...3863628759415...1....8...9....6..2.8... | 745163298281947563936582174498631752157429386362875941574316829823794615619258437 | normal_sudoku_1836 | 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 . 6 . . 9 8
2 . . . . 7 . 6 3
9 . 6 . . . . . 4
4 9 8 6 . 1 . . .
1 5 7 . . . 3 8 6
3 6 2 8 7 5 9 4 1
5 . . . 1 . . . .
8 . . . 9 . . . .
6 . . 2 . 8 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 745163298281947563936582174498631752157429386362875941574316829823794615619258437 #1 Easy (228)
Hidden Single: r4c5=3
Hidden Single: r2c4=9
Naked Single: r5c4=4
Naked Single: r5c5=2
Full House: r5c6=9
Hidden Single: r7c7=8
Hidden Single: r7c6=6
Hidden Single: r8c7=6
Hidden Single: r9c7=4
Naked Single: r9c5=5
Naked Single: r3c5=8
Full House: r2c5=4
Naked Single: r2c3=1
Naked Single: r2c2=8
Full House: r2c7=5
Naked Single: r3c2=3
Full House: r1c2=4
Naked Single: r3c6=2
Naked Single: r1c6=3
Full House: r8c6=4
Naked Single: r1c4=1
Full House: r1c7=2
Full House: r3c4=5
Naked Single: r8c3=3
Naked Single: r4c7=7
Full House: r3c7=1
Full House: r3c8=7
Naked Single: r8c4=7
Full House: r7c4=3
Naked Single: r9c3=9
Full House: r7c3=4
Naked Single: r7c8=2
Naked Single: r9c9=7
Naked Single: r4c8=5
Full House: r4c9=2
Naked Single: r7c2=7
Full House: r7c9=9
Full House: r8c9=5
Naked Single: r9c2=1
Full House: r8c2=2
Full House: r8c8=1
Full House: r9c8=3
|
normal_sudoku_1154 | ..7..4.91....812.6.1....7.48...3..65...548..7..3..6..2..2..96.81.....429.5....1.3 | 387624591495781236216953784841237965629548317573196842732419658168375429954862173 | normal_sudoku_1154 | 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 1
. . . . 8 1 2 . 6
. 1 . . . . 7 . 4
8 . . . 3 . . 6 5
. . . 5 4 8 . . 7
. . 3 . . 6 . . 2
. . 2 . . 9 6 . 8
1 . . . . . 4 2 9
. 5 . . . . 1 . 3 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 387624591495781236216953784841237965629548317573196842732419658168375429954862173 #1 Easy (232)
Naked Single: r4c7=9
Naked Single: r9c8=7
Full House: r7c8=5
Naked Single: r5c7=3
Naked Single: r6c7=8
Full House: r1c7=5
Naked Single: r9c6=2
Naked Single: r2c8=3
Full House: r3c8=8
Naked Single: r5c8=1
Full House: r6c8=4
Naked Single: r4c6=7
Naked Single: r9c5=6
Naked Single: r1c5=2
Hidden Single: r2c4=7
Hidden Single: r6c1=5
Hidden Single: r1c2=8
Hidden Single: r4c4=2
Naked Single: r4c2=4
Full House: r4c3=1
Naked Single: r2c2=9
Naked Single: r2c1=4
Full House: r2c3=5
Naked Single: r6c2=7
Naked Single: r9c1=9
Naked Single: r3c3=6
Naked Single: r7c2=3
Naked Single: r1c1=3
Full House: r1c4=6
Full House: r3c1=2
Naked Single: r5c3=9
Naked Single: r8c3=8
Full House: r9c3=4
Full House: r9c4=8
Naked Single: r7c1=7
Full House: r8c2=6
Full House: r5c1=6
Full House: r5c2=2
Naked Single: r8c4=3
Naked Single: r7c5=1
Full House: r7c4=4
Naked Single: r3c4=9
Full House: r6c4=1
Full House: r6c5=9
Naked Single: r8c6=5
Full House: r3c6=3
Full House: r3c5=5
Full House: r8c5=7
|
normal_sudoku_6925 | .9.6....1..4..56......8..2.7...5...4.6.748.1...2.637..8..5...97.2.4..1....38..... | 397624851284195673156387429738251964569748312412963785841536297625479138973812546 | normal_sudoku_6925 | 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 . . . . 1
. . 4 . . 5 6 . .
. . . . 8 . . 2 .
7 . . . 5 . . . 4
. 6 . 7 4 8 . 1 .
. . 2 . 6 3 7 . .
8 . . 5 . . . 9 7
. 2 . 4 . . 1 . .
. . 3 8 . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 397624851284195673156387429738251964569748312412963785841536297625479138973812546 #1 Extreme (2788)
Hidden Single: r4c8=6
Locked Candidates Type 1 (Pointing): 2 in b5 => r4c7<>2
Locked Candidates Type 1 (Pointing): 3 in b8 => r12c5<>3
X-Wing: 8 c37 r14 => r1c8,r4c2<>8
Discontinuous Nice Loop: 3 r2c2 -3- r4c2 =3= r4c7 =8= r4c3 -8- r1c3 =8= r2c2 => r2c2<>3
Discontinuous Nice Loop: 5 r5c9 -5- r6c8 -8- r8c8 =8= r8c9 =6= r9c9 =2= r5c9 => r5c9<>5
Grouped Discontinuous Nice Loop: 3 r1c7 -3- r45c7 =3= r5c9 =2= r9c9 =6= r8c9 =8= r8c8 =3= r12c8 -3- r1c7 => r1c7<>3
Grouped Discontinuous Nice Loop: 3 r3c7 -3- r45c7 =3= r5c9 =2= r9c9 =6= r8c9 =8= r8c8 =3= r12c8 -3- r3c7 => r3c7<>3
Almost Locked Set XZ-Rule: A=r4c246 {1239}, B=r5c13 {359}, X=3, Z=9 => r4c3<>9
Grouped Discontinuous Nice Loop: 9 r5c9 -9- r5c13 =9= r6c1 =4= r9c1 -4- r9c8 -5- r6c8 -8- r8c8 =8= r8c9 =6= r9c9 =2= r5c9 => r5c9<>9
Almost Locked Set XZ-Rule: A=r45c7,r6c89 {23589}, B=r79c7,r9c8 {2345}, X=2,3 => r8c89,r9c129<>5
X-Wing: 5 c29 r36 => r3c137,r6c18<>5
Naked Single: r6c8=8
Naked Single: r8c8=3
Naked Single: r2c8=7
Hidden Single: r4c3=8
Hidden Single: r1c7=8
Hidden Single: r2c2=8
Hidden Single: r8c9=8
Hidden Single: r1c1=3
Hidden Single: r7c5=3
Hidden Single: r9c9=6
Hidden Single: r4c2=3
Naked Single: r4c7=9
Naked Single: r3c7=4
Naked Single: r6c9=5
Naked Single: r1c8=5
Full House: r9c8=4
Naked Single: r7c7=2
Full House: r9c7=5
Full House: r5c7=3
Full House: r5c9=2
Naked Single: r1c3=7
Naked Single: r1c5=2
Full House: r1c6=4
Hidden Single: r2c1=2
Hidden Single: r6c4=9
Hidden Single: r7c2=4
Naked Single: r6c2=1
Full House: r6c1=4
Naked Single: r3c2=5
Full House: r9c2=7
Hidden Single: r3c6=7
Hidden Single: r4c4=2
Full House: r4c6=1
Naked Single: r7c6=6
Full House: r7c3=1
Naked Single: r8c6=9
Full House: r9c6=2
Naked Single: r3c3=6
Full House: r3c1=1
Naked Single: r9c1=9
Full House: r9c5=1
Full House: r8c5=7
Full House: r2c5=9
Naked Single: r8c3=5
Full House: r5c3=9
Full House: r5c1=5
Full House: r8c1=6
Naked Single: r3c4=3
Full House: r2c4=1
Full House: r2c9=3
Full House: r3c9=9
|
normal_sudoku_2890 | 7..53628..38.725.4.2.8.4.3.....583.238.42..75.5276384.86....9...9..87...........8 | 714536289638972514529814736476158392381429675952763841863241957195687423247395168 | normal_sudoku_2890 | 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 6 2 8 .
. 3 8 . 7 2 5 . 4
. 2 . 8 . 4 . 3 .
. . . . 5 8 3 . 2
3 8 . 4 2 . . 7 5
. 5 2 7 6 3 8 4 .
8 6 . . . . 9 . .
. 9 . . 8 7 . . .
. . . . . . . . 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 714536289638972514529814736476158392381429675952763841863241957195687423247395168 #1 Hard (564)
Naked Pair: 1,9 in r24c4 => r789c4<>1, r9c4<>9
Naked Pair: 1,9 in r16c9 => r378c9<>1, r3c9<>9
X-Wing: 9 c48 r24 => r24c1,r4c3<>9
Skyscraper: 9 in r1c3,r6c1 (connected by r16c9) => r3c1,r5c3<>9
Hidden Single: r6c1=9
Full House: r6c9=1
Naked Single: r1c9=9
Naked Single: r5c7=6
Full House: r4c8=9
Naked Single: r5c3=1
Full House: r5c6=9
Full House: r4c4=1
Naked Single: r1c3=4
Full House: r1c2=1
Naked Single: r2c4=9
Full House: r3c5=1
Naked Single: r2c1=6
Full House: r2c8=1
Naked Single: r3c7=7
Full House: r3c9=6
Naked Single: r7c5=4
Full House: r9c5=9
Naked Single: r3c1=5
Full House: r3c3=9
Naked Single: r4c1=4
Naked Single: r8c9=3
Full House: r7c9=7
Naked Single: r4c2=7
Full House: r4c3=6
Full House: r9c2=4
Naked Single: r8c3=5
Naked Single: r9c7=1
Full House: r8c7=4
Naked Single: r7c3=3
Full House: r9c3=7
Naked Single: r9c1=2
Full House: r8c1=1
Naked Single: r9c6=5
Full House: r7c6=1
Naked Single: r7c4=2
Full House: r7c8=5
Naked Single: r9c8=6
Full House: r8c8=2
Full House: r8c4=6
Full House: r9c4=3
|
normal_sudoku_814 | .4.98....2.7654..9...21.4...9..728...72.489.3..5396....2.4397..7.4861.9....725.14 | 341987526287654139569213478493572861672148953815396247126439785754861392938725614 | normal_sudoku_814 | 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 . 9 8 . . . .
2 . 7 6 5 4 . . 9
. . . 2 1 . 4 . .
. 9 . . 7 2 8 . .
. 7 2 . 4 8 9 . 3
. . 5 3 9 6 . . .
. 2 . 4 3 9 7 . .
7 . 4 8 6 1 . 9 .
. . . 7 2 5 . 1 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 341987526287654139569213478493572861672148953815396247126439785754861392938725614 #1 Medium (256)
Locked Candidates Type 1 (Pointing): 3 in b9 => r12c7<>3
Naked Single: r2c7=1
Naked Single: r6c7=2
Hidden Single: r6c2=1
Naked Single: r5c1=6
Naked Single: r6c9=7
Naked Single: r4c3=3
Naked Single: r5c8=5
Full House: r5c4=1
Full House: r4c4=5
Naked Single: r6c8=4
Full House: r6c1=8
Full House: r4c1=4
Naked Single: r4c8=6
Full House: r4c9=1
Naked Single: r7c8=8
Naked Single: r2c8=3
Full House: r2c2=8
Naked Single: r3c8=7
Full House: r1c8=2
Naked Single: r3c6=3
Full House: r1c6=7
Hidden Single: r8c9=2
Hidden Single: r3c9=8
Hidden Single: r9c3=8
Hidden Single: r1c1=3
Naked Single: r9c1=9
Naked Single: r3c1=5
Full House: r7c1=1
Naked Single: r3c2=6
Full House: r3c3=9
Full House: r1c3=1
Full House: r7c3=6
Full House: r7c9=5
Full House: r1c9=6
Full House: r1c7=5
Naked Single: r9c2=3
Full House: r8c2=5
Full House: r8c7=3
Full House: r9c7=6
|
normal_sudoku_218 | .46..3.9...9.286....8.64...4.1..69...67.5.4..8.3....76185432769..46.7.52672..53.. | 546173298319528647728964135451786923267359481893241576185432769934617852672895314 | normal_sudoku_218 | 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 . 9 .
. . 9 . 2 8 6 . .
. . 8 . 6 4 . . .
4 . 1 . . 6 9 . .
. 6 7 . 5 . 4 . .
8 . 3 . . . . 7 6
1 8 5 4 3 2 7 6 9
. . 4 6 . 7 . 5 2
6 7 2 . . 5 3 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 546173298319528647728964135451786923267359481893241576185432769934617852672895314 #1 Unfair (1086)
Hidden Single: r3c4=9
Hidden Single: r6c5=4
Hidden Single: r9c5=9
Locked Candidates Type 1 (Pointing): 5 in b4 => r23c2<>5
Locked Candidates Type 2 (Claiming): 1 in c6 => r56c4<>1
Naked Single: r6c4=2
Locked Candidates Type 1 (Pointing): 2 in b6 => r3c8<>2
AIC: 5/8 8- r1c9 =8= r1c7 =2= r1c1 -2- r5c1 =2= r4c2 =5= r4c9 -5 => r1c9<>5, r4c9<>8
XY-Chain: 3 3- r4c9 -5- r6c7 -1- r8c7 -8- r8c5 -1- r9c4 -8- r5c4 -3 => r4c4,r5c89<>3
Hidden Single: r5c4=3
Locked Candidates Type 1 (Pointing): 8 in b5 => r4c8<>8
W-Wing: 1/8 in r5c9,r8c7 connected by 8 in r1c79 => r6c7,r9c9<>1
Naked Single: r6c7=5
Naked Single: r4c9=3
Naked Single: r6c2=9
Full House: r6c6=1
Full House: r5c6=9
Naked Single: r4c8=2
Naked Single: r5c1=2
Full House: r4c2=5
Naked Single: r8c2=3
Full House: r8c1=9
Naked Single: r2c2=1
Full House: r3c2=2
Naked Single: r3c7=1
Naked Single: r3c8=3
Naked Single: r8c7=8
Full House: r1c7=2
Full House: r8c5=1
Full House: r9c4=8
Naked Single: r2c8=4
Naked Single: r9c9=4
Full House: r9c8=1
Full House: r5c8=8
Full House: r5c9=1
Naked Single: r1c5=7
Full House: r4c5=8
Full House: r4c4=7
Naked Single: r1c1=5
Naked Single: r1c9=8
Full House: r1c4=1
Full House: r2c4=5
Naked Single: r3c1=7
Full House: r2c1=3
Full House: r2c9=7
Full House: r3c9=5
|
normal_sudoku_5891 | ...34.1....31.....1...82.39..2.9361779621.5.3.31..529.....2135..1593..7232....9.1 | 987346125253179846164582739542893617796214583831765294479621358615938472328457961 | normal_sudoku_5891 | 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 . 1 . .
. . 3 1 . . . . .
1 . . . 8 2 . 3 9
. . 2 . 9 3 6 1 7
7 9 6 2 1 . 5 . 3
. 3 1 . . 5 2 9 .
. . . . 2 1 3 5 .
. 1 5 9 3 . . 7 2
3 2 . . . . 9 . 1 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 987346125253179846164582739542893617796214583831765294479621358615938472328457961 #1 Extreme (4642)
Naked Pair: 4,8 in r4c4,r5c6 => r6c4<>4, r6c4<>8
Naked Pair: 4,7 in r3c37 => r3c2<>4, r3c24<>7
Discontinuous Nice Loop: 6 r9c5 -6- r6c5 =6= r6c4 -6- r3c4 -5- r9c4 =5= r9c5 => r9c5<>6
Forcing Chain Contradiction in r8 => r2c1<>4
r2c1=4 r8c1<>4
r2c1=4 r6c1<>4 r6c9=4 r5c8<>4 r5c6=4 r8c6<>4
r2c1=4 r3c3<>4 r3c7=4 r8c7<>4
Forcing Chain Contradiction in c9 => r2c1<>6
r2c1=6 r3c2<>6 r3c2=5 r1c12<>5 r1c9=5 r1c9<>6
r2c1=6 r2c9<>6
r2c1=6 r8c1<>6 r7c12=6 r7c9<>6
Forcing Chain Contradiction in r7c9 => r8c1<>4
r8c1=4 r6c1<>4 r6c9=4 r7c9<>4
r8c1=4 r8c1<>6 r7c12=6 r7c9<>6
r8c1=4 r8c7<>4 r8c7=8 r7c9<>8
Skyscraper: 4 in r5c8,r8c7 (connected by r58c6) => r9c8<>4
Turbot Fish: 4 r3c3 =4= r3c7 -4- r8c7 =4= r7c9 => r7c3<>4
Sashimi Swordfish: 4 r389 c347 fr8c6 fr9c6 => r7c4<>4
AIC: 8 8- r2c7 =8= r8c7 =4= r7c9 -4- r6c9 -8 => r12c9<>8
Grouped AIC: 4/8 4- r2c2 =4= r3c3 -4- r9c3 =4= r7c12 -4- r7c9 =4= r8c7 =8= r2c7 -8 => r2c7<>4, r2c2<>8
Almost Locked Set Chain: 8- r5c6 {48} -4- r5c8 {48} -8- r6c9 {48} -4- r68c1 {468} -6- r58c6 {468} -8 => r9c6<>8
Forcing Chain Contradiction in r9c6 => r2c7=8
r2c7<>8 r8c7=8 r8c7<>4 r8c6=4 r9c6<>4
r2c7<>8 r8c7=8 r9c8<>8 r9c8=6 r9c6<>6
r2c7<>8 r2c7=7 r2c5<>7 r12c6=7 r9c6<>7
Naked Single: r8c7=4
Full House: r3c7=7
Naked Single: r3c3=4
Skyscraper: 8 in r8c6,r9c8 (connected by r5c68) => r9c4<>8
2-String Kite: 8 in r4c4,r8c1 (connected by r7c4,r8c6) => r4c1<>8
Turbot Fish: 8 r6c1 =8= r4c2 -8- r4c4 =8= r7c4 => r7c1<>8
Turbot Fish: 8 r4c2 =8= r6c1 -8- r6c9 =8= r7c9 => r7c2<>8
W-Wing: 6/8 in r7c9,r8c1 connected by 8 in r6c19 => r7c12<>6
Hidden Single: r8c1=6
Full House: r8c6=8
Naked Single: r5c6=4
Full House: r5c8=8
Full House: r6c9=4
Naked Single: r4c4=8
Naked Single: r9c8=6
Full House: r7c9=8
Naked Single: r6c1=8
Naked Single: r1c8=2
Full House: r2c8=4
Naked Single: r9c6=7
Naked Single: r7c4=6
Naked Single: r9c3=8
Naked Single: r9c5=5
Full House: r9c4=4
Naked Single: r3c4=5
Full House: r6c4=7
Full House: r3c2=6
Full House: r6c5=6
Full House: r2c5=7
Naked Single: r2c2=5
Naked Single: r1c1=9
Naked Single: r2c9=6
Full House: r1c9=5
Naked Single: r4c2=4
Full House: r4c1=5
Naked Single: r1c3=7
Full House: r7c3=9
Naked Single: r1c6=6
Full House: r2c6=9
Full House: r2c1=2
Full House: r7c1=4
Full House: r7c2=7
Full House: r1c2=8
|
normal_sudoku_5980 | ....68.......453..4..7...5.741.8.5325234718969685...7.8....4..5...8..9...9..57.8. | 235968741179245368486713259741689532523471896968532174817394625354826917692157483 | normal_sudoku_5980 | 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 . . .
. . . . 4 5 3 . .
4 . . 7 . . . 5 .
7 4 1 . 8 . 5 3 2
5 2 3 4 7 1 8 9 6
9 6 8 5 . . . 7 .
8 . . . . 4 . . 5
. . . 8 . . 9 . .
. 9 . . 5 7 . 8 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 235968741179245368486713259741689532523471896968532174817394625354826917692157483 #1 Extreme (3082)
Finned Swordfish: 3 r367 c256 fr7c4 => r8c56<>3
Almost Locked Set XZ-Rule: A=r8c1568 {12346}, B=r12368c9 {134789}, X=3, Z=4 => r9c9<>4
Almost Locked Set XY-Wing: A=r7c378 {1267}, B=r8c56,r9c4 {1236}, C=r9c9 {13}, X,Y=1,3, Z=2,6 => r7c45<>2, r7c4<>6
Finned X-Wing: 6 r37 c37 fr7c8 => r9c7<>6
Forcing Chain Contradiction in r3 => r9c7<>2
r9c7=2 r7c78<>2 r7c3=2 r3c3<>2
r9c7=2 r9c4<>2 r12c4=2 r3c5<>2
r9c7=2 r9c4<>2 r12c4=2 r3c6<>2
r9c7=2 r3c7<>2
Naked Pair: 1,4 in r69c7 => r137c7<>1, r1c7<>4
Uniqueness Test 1: 1/4 in r6c79,r9c79 => r9c9<>1
Naked Single: r9c9=3
Locked Candidates Type 1 (Pointing): 3 in b8 => r7c2<>3
Naked Triple: 1,2,6 in r8c56,r9c4 => r7c45<>1
Discontinuous Nice Loop: 1 r8c1 -1- r8c5 =1= r9c4 -1- r9c7 -4- r9c3 =4= r8c3 =5= r8c2 =3= r8c1 => r8c1<>1
Finned Swordfish: 1 c148 r129 fr7c8 fr8c8 => r9c7<>1
Naked Single: r9c7=4
Naked Single: r6c7=1
Full House: r6c9=4
Hidden Single: r1c8=4
Hidden Single: r8c3=4
Hidden Single: r8c2=5
Hidden Single: r1c3=5
Hidden Single: r8c1=3
Hidden Single: r8c9=7
Hidden Single: r1c7=7
Locked Candidates Type 1 (Pointing): 1 in b9 => r2c8<>1
W-Wing: 2/6 in r2c8,r9c3 connected by 6 in r3c37 => r2c3<>2
W-Wing: 2/6 in r7c7,r9c3 connected by 6 in r3c37 => r7c3<>2
Locked Candidates Type 1 (Pointing): 2 in b7 => r9c4<>2
Locked Candidates Type 1 (Pointing): 2 in b8 => r8c8<>2
Locked Candidates Type 2 (Claiming): 2 in c4 => r3c56<>2
Hidden Pair: 2,6 in r3c37 => r3c3<>9
Hidden Single: r2c3=9
Hidden Single: r2c2=7
Naked Single: r7c2=1
Naked Single: r1c2=3
Full House: r3c2=8
Hidden Single: r7c3=7
Hidden Single: r2c9=8
Hidden Single: r8c8=1
Naked Single: r8c5=2
Full House: r8c6=6
Naked Single: r6c5=3
Full House: r6c6=2
Naked Single: r4c6=9
Full House: r3c6=3
Full House: r4c4=6
Naked Single: r9c4=1
Naked Single: r7c5=9
Full House: r3c5=1
Full House: r7c4=3
Naked Single: r2c4=2
Full House: r1c4=9
Naked Single: r3c9=9
Full House: r1c9=1
Full House: r1c1=2
Naked Single: r2c8=6
Full House: r2c1=1
Full House: r3c3=6
Full House: r9c1=6
Full House: r3c7=2
Full House: r7c8=2
Full House: r9c3=2
Full House: r7c7=6
|
normal_sudoku_6449 | 8..........14..78..4..5...1..2..9...4..523..75.61....8.6....3...........1..7...56 | 857291463921436785643857921372689514418523697596174238765918342284365179139742856 | normal_sudoku_6449 | 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 . . . . . . . .
. . 1 4 . . 7 8 .
. 4 . . 5 . . . 1
. . 2 . . 9 . . .
4 . . 5 2 3 . . 7
5 . 6 1 . . . . 8
. 6 . . . . 3 . .
. . . . . . . . .
1 . . 7 . . . 5 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 857291463921436785643857921372689514418523697596174238765918342284365179139742856 #1 Extreme (12484)
Locked Pair: 4,7 in r6c56 => r4c5,r6c2<>7, r4c5,r6c78<>4
Locked Candidates Type 1 (Pointing): 6 in b5 => r4c78<>6
Locked Candidates Type 1 (Pointing): 8 in b5 => r4c2<>8
Forcing Net Contradiction in r7 => r1c6<>2
r1c6=2 r1c6<>1 r1c5=1 r7c5<>1
r1c6=2 (r9c6<>2) r1c6<>1 r1c5=1 r1c5<>7 r6c5=7 r6c6<>7 (r3c6=7 r3c6<>8 r3c4=8 r7c4<>8) r6c6=4 r9c6<>4 r9c6=8 (r7c5<>8) r7c6<>8 r7c3=8 r7c3<>5 r7c6=5 r7c6<>1
r1c6=2 (r9c6<>2) r1c6<>1 r1c5=1 r1c5<>7 r6c5=7 r6c6<>7 (r3c6=7 r3c6<>8 r3c4=8 r7c4<>8) r6c6=4 r9c6<>4 r9c6=8 (r7c5<>8) r7c6<>8 r7c3=8 (r7c3<>7) r5c3<>8 r5c3=9 r6c2<>9 r6c2=3 r4c1<>3 r4c1=7 r7c1<>7 r7c8=7 r7c8<>1
Forcing Net Contradiction in r7 => r1c6<>6
r1c6=6 r1c6<>1 r1c5=1 r7c5<>1
r1c6=6 (r2c6<>6 r2c6=2 r9c6<>2) r1c6<>1 r1c5=1 r1c5<>7 r6c5=7 r6c6<>7 (r3c6=7 r3c6<>8 r3c4=8 r7c4<>8) r6c6=4 r9c6<>4 r9c6=8 (r7c5<>8) r7c6<>8 r7c3=8 r7c3<>5 r7c6=5 r7c6<>1
r1c6=6 (r2c6<>6 r2c6=2 r9c6<>2) r1c6<>1 r1c5=1 r1c5<>7 r6c5=7 r6c6<>7 (r3c6=7 r3c6<>8 r3c4=8 r7c4<>8) r6c6=4 r9c6<>4 r9c6=8 (r7c5<>8) r7c6<>8 r7c3=8 (r7c3<>7) r5c3<>8 r5c3=9 r6c2<>9 r6c2=3 r4c1<>3 r4c1=7 r7c1<>7 r7c8=7 r7c8<>1
Forcing Net Contradiction in r7c8 => r2c5<>6
r2c5=6 (r2c6<>6 r2c6=2 r9c6<>2) (r2c6<>6 r2c6=2 r2c1<>2) (r2c6<>6 r2c6=2 r2c2<>2) r2c1<>6 r3c1=6 r3c1<>2 r1c2=2 r9c2<>2 r9c7=2 (r3c7<>2) r6c7<>2 r6c7=9 r3c7<>9 r3c7=6 r3c1<>6 r2c1=6 r2c5<>6
Forcing Net Contradiction in c2 => r2c2<>9
r2c2=9 (r6c2<>9 r6c2=3 r4c1<>3) r2c5<>9 r2c5=3 (r2c1<>3) (r1c4<>3) r3c4<>3 r8c4=3 r8c1<>3 r3c1=3 (r3c1<>2) r3c1<>6 r2c1=6 (r2c1<>2) r2c6<>6 r2c6=2 r2c2<>2 r1c2=2
r2c2=9 (r9c2<>9) (r5c2<>9) r6c2<>9 (r6c2=3 r9c2<>3) r5c3=9 r5c3<>8 r5c2=8 r9c2<>8 r9c2=2
Forcing Net Contradiction in r3 => r3c1<>3
r3c1=3 r3c1<>2
r3c1=3 r3c1<>6 r2c1=6 r2c6<>6 r2c6=2 r3c4<>2
r3c1=3 r3c1<>6 r2c1=6 r2c6<>6 r2c6=2 r3c6<>2
r3c1=3 (r3c1<>2) r3c1<>6 r2c1=6 (r2c1<>2) r2c6<>6 r2c6=2 (r9c6<>2) r2c2<>2 r1c2=2 r9c2<>2 r9c7=2 r3c7<>2
r3c1=3 (r3c1<>2) r3c1<>6 r2c1=6 (r2c1<>2) r2c6<>6 r2c6=2 (r9c6<>2) r2c2<>2 r1c2=2 r9c2<>2 r9c7=2 r6c7<>2 r6c8=2 r3c8<>2
Forcing Net Contradiction in r3c7 => r2c9<>9
r2c9=9 r2c5<>9 r2c5=3 (r2c1<>3) (r1c4<>3) r3c4<>3 r8c4=3 r8c1<>3 r4c1=3 r6c2<>3 r6c2=9 r6c7<>9 r6c7=2 r3c7<>2
r2c9=9 (r2c9<>3) r2c5<>9 r2c5=3 (r2c2<>3) (r2c1<>3) (r1c4<>3) r3c4<>3 r8c4=3 (r8c2<>3) r8c1<>3 r4c1=3 (r4c2<>3) (r6c2<>3) r4c9<>3 r1c9=3 r1c2<>3 r9c2=3 (r9c2<>2) r6c2<>3 r6c2=9 r6c7<>9 r6c7=2 r9c7<>2 r9c6=2 r2c6<>2 r2c6=6 r2c1<>6 r3c1=6 r3c7<>6
r2c9=9 r3c7<>9
Forcing Chain Contradiction in r9 => r1c2<>9
r1c2=9 r9c2<>9
r1c2=9 r23c1<>9 r78c1=9 r9c3<>9
r1c2=9 r2c1<>9 r2c5=9 r9c5<>9
r1c2=9 r1c9<>9 r78c9=9 r9c7<>9
Forcing Chain Contradiction in r9 => r1c3<>9
r1c3=9 r5c3<>9 r56c2=9 r9c2<>9
r1c3=9 r9c3<>9
r1c3=9 r2c1<>9 r2c5=9 r9c5<>9
r1c3=9 r1c9<>9 r78c9=9 r9c7<>9
Forcing Chain Contradiction in r8 => r8c5<>9
r8c5=9 r2c5<>9 r2c5=3 r13c4<>3 r8c4=3 r8c4<>6
r8c5=9 r8c5<>6
r8c5=9 r2c5<>9 r2c1=9 r2c1<>6 r2c6=6 r8c6<>6
Forcing Net Contradiction in r1c3 => r1c2<>3
r1c2=3 (r3c3<>3) r6c2<>3 r6c8=3 r3c8<>3 r3c4=3 r3c4<>8 r3c6=8 r3c6<>7 r1c56=7 r1c3<>7
r1c2=3 (r1c3<>3) (r2c1<>3) (r2c2<>3) (r3c3<>3) r6c2<>3 r6c8=3 r3c8<>3 r3c4=3 r2c5<>3 r2c9=3 r2c9<>5 r2c2=5 r1c3<>5 r1c3=7
Forcing Net Verity => r1c7<>2
r2c1=9 (r2c1<>3) r2c5<>9 r2c5=3 (r1c4<>3) r3c4<>3 r8c4=3 r8c1<>3 r4c1=3 r6c2<>3 r6c2=9 r6c7<>9 r6c7=2 r1c7<>2
r3c1=9 (r3c1<>2) r3c1<>6 r2c1=6 (r2c1<>2) r2c6<>6 r2c6=2 r2c2<>2 r1c2=2 r1c7<>2
r7c1=9 (r9c2<>9) (r9c3<>9) r2c1<>9 r2c5=9 r9c5<>9 r9c7=9 r6c7<>9 r6c7=2 r1c7<>2
r8c1=9 (r9c2<>9) (r9c3<>9) r2c1<>9 r2c5=9 r9c5<>9 r9c7=9 r6c7<>9 r6c7=2 r1c7<>2
Forcing Net Verity => r1c8<>3
r2c1=3 (r2c1<>9) r2c1<>6 r3c1=6 (r3c8<>6) (r3c7<>6) r3c1<>9 r3c3=9 (r3c8<>9) r3c7<>9 r3c7=2 r3c8<>2 r3c8=3 r1c8<>3
r2c2=3 r6c2<>3 r6c8=3 r1c8<>3
r2c5=3 (r2c9<>3) (r2c1<>3) (r1c4<>3) r3c4<>3 r8c4=3 r8c1<>3 r4c1=3 r4c9<>3 r1c9=3 r1c8<>3
r2c9=3 r1c8<>3
Forcing Net Verity => r1c9<>2
r2c1=9 (r2c1<>3) r2c5<>9 r2c5=3 (r2c9<>3) (r1c4<>3) r3c4<>3 r8c4=3 r8c1<>3 r4c1=3 r4c9<>3 r1c9=3 r1c9<>2
r3c1=9 (r3c1<>2) r3c1<>6 r2c1=6 (r2c1<>2) r2c6<>6 r2c6=2 r2c2<>2 r1c2=2 r1c9<>2
r7c1=9 (r7c9<>9) (r7c4<>9) r2c1<>9 r2c5=9 (r1c4<>9) r3c4<>9 r8c4=9 r8c9<>9 r1c9=9 r1c9<>2
r8c1=9 (r8c9<>9) (r8c4<>9) r2c1<>9 r2c5=9 (r1c4<>9) r3c4<>9 r7c4=9 r7c9<>9 r1c9=9 r1c9<>2
Forcing Chain Contradiction in r3c7 => r8c7<>2
r8c7=2 r3c7<>2
r8c7=2 r78c9<>2 r2c9=2 r2c6<>2 r2c6=6 r2c1<>6 r3c1=6 r3c7<>6
r8c7=2 r6c7<>2 r6c7=9 r3c7<>9
Forcing Chain Contradiction in r3c7 => r9c7<>2
r9c7=2 r3c7<>2
r9c7=2 r78c9<>2 r2c9=2 r2c6<>2 r2c6=6 r2c1<>6 r3c1=6 r3c7<>6
r9c7=2 r6c7<>2 r6c7=9 r3c7<>9
Forcing Chain Contradiction in b1 => r3c1<>7
r3c1=7 r3c1<>6 r2c1=6 r2c6<>6 r2c6=2 r9c6<>2 r9c2=2 r1c2<>2
r3c1=7 r3c1<>6 r2c1=6 r2c1<>2
r3c1=7 r3c1<>6 r2c1=6 r2c6<>6 r2c6=2 r2c2<>2
r3c1=7 r3c1<>2
Forcing Chain Contradiction in b1 => r3c1<>9
r3c1=9 r3c1<>6 r2c1=6 r2c6<>6 r2c6=2 r9c6<>2 r9c2=2 r1c2<>2
r3c1=9 r3c1<>6 r2c1=6 r2c1<>2
r3c1=9 r3c1<>6 r2c1=6 r2c6<>6 r2c6=2 r2c2<>2
r3c1=9 r3c1<>2
AIC: 6 6- r2c6 =6= r2c1 =9= r3c3 =7= r3c6 =8= r3c4 -8- r4c4 -6 => r13c4<>6
Discontinuous Nice Loop: 3 r3c4 -3- r2c5 -9- r2c1 =9= r3c3 =7= r3c6 =8= r3c4 => r3c4<>3
Skyscraper: 3 in r3c3,r6c2 (connected by r36c8) => r2c2<>3
Discontinuous Nice Loop: 3 r2c9 -3- r2c5 -9- r2c1 =9= r3c3 =3= r3c8 -3- r2c9 => r2c9<>3
Naked Pair: 2,5 in r2c29 => r2c16<>2
Naked Single: r2c6=6
Hidden Single: r3c1=6
Locked Candidates Type 1 (Pointing): 2 in b1 => r89c2<>2
Hidden Single: r9c6=2
Naked Pair: 2,9 in r36c7 => r1589c7<>9
2-String Kite: 3 in r2c1,r8c4 (connected by r1c4,r2c5) => r8c1<>3
Skyscraper: 3 in r1c9,r2c1 (connected by r4c19) => r1c3<>3
Naked Triple: 2,5,7 in r1c23,r2c2 => r3c3<>7
Hidden Single: r3c6=7
Naked Single: r1c6=1
Naked Single: r6c6=4
Naked Single: r6c5=7
Hidden Single: r3c4=8
Naked Single: r4c4=6
Full House: r4c5=8
Naked Single: r7c4=9
Naked Single: r8c4=3
Full House: r1c4=2
Naked Single: r9c5=4
Naked Single: r7c5=1
Naked Single: r9c7=8
Naked Single: r8c5=6
Hidden Single: r2c2=2
Naked Single: r2c9=5
Hidden Single: r4c7=5
Locked Candidates Type 1 (Pointing): 9 in b9 => r8c123<>9
Hidden Single: r2c1=9
Full House: r2c5=3
Full House: r1c5=9
Naked Single: r3c3=3
Naked Single: r9c3=9
Full House: r9c2=3
Naked Single: r5c3=8
Naked Single: r6c2=9
Naked Single: r5c2=1
Naked Single: r6c7=2
Full House: r6c8=3
Naked Single: r4c2=7
Full House: r4c1=3
Naked Single: r5c7=6
Full House: r5c8=9
Naked Single: r3c7=9
Full House: r3c8=2
Naked Single: r4c9=4
Full House: r4c8=1
Naked Single: r1c2=5
Full House: r1c3=7
Full House: r8c2=8
Naked Single: r1c7=4
Full House: r8c7=1
Naked Single: r1c9=3
Full House: r1c8=6
Naked Single: r7c9=2
Full House: r8c9=9
Naked Single: r8c6=5
Full House: r7c6=8
Naked Single: r7c1=7
Full House: r8c1=2
Naked Single: r8c3=4
Full House: r7c3=5
Full House: r7c8=4
Full House: r8c8=7
|
normal_sudoku_4505 | .9.1.52.7..1.2..59.52...18...8.1.59.1254967389......1.28...197.5.9....21.17...8.5 | 893145267461728359752369184348217596125496738976583412284651973539874621617932845 | normal_sudoku_4505 | 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 . 1 . 5 2 . 7
. . 1 . 2 . . 5 9
. 5 2 . . . 1 8 .
. . 8 . 1 . 5 9 .
1 2 5 4 9 6 7 3 8
9 . . . . . . 1 .
2 8 . . . 1 9 7 .
5 . 9 . . . . 2 1
. 1 7 . . . 8 . 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 893145267461728359752369184348217596125496738976583412284651973539874621617932845 #1 Extreme (3756)
Naked Triple: 3,4,6 in r9c158 => r9c46<>3, r9c4<>6, r9c6<>4
Finned X-Wing: 3 r19 c15 fr1c3 => r23c1<>3
Finned Franken Swordfish: 4 c38b6 r167 fr4c9 fr9c8 => r7c9<>4
W-Wing: 6/4 in r1c8,r6c7 connected by 4 in r8c7,r9c8 => r2c7<>6
Sashimi Swordfish: 6 c378 r167 fr8c7 fr9c8 => r7c9<>6
Naked Single: r7c9=3
Hidden Single: r2c7=3
Locked Candidates Type 1 (Pointing): 3 in b1 => r1c5<>3
Grouped Discontinuous Nice Loop: 4 r3c5 -4- r3c9 =4= r1c8 -4- r9c8 =4= r8c7 -4- r8c6 =4= r789c5 -4- r3c5 => r3c5<>4
Forcing Chain Contradiction in r9c1 => r1c3<>4
r1c3=4 r1c3<>3 r1c1=3 r9c1<>3
r1c3=4 r1c8<>4 r9c8=4 r9c1<>4
r1c3=4 r7c3<>4 r7c3=6 r9c1<>6
Skyscraper: 4 in r7c3,r8c7 (connected by r6c37) => r8c2<>4
Discontinuous Nice Loop: 6 r9c5 -6- r9c8 =6= r8c7 -6- r8c2 -3- r9c1 =3= r9c5 => r9c5<>6
Turbot Fish: 6 r3c9 =6= r1c8 -6- r9c8 =6= r9c1 => r3c1<>6
Almost Locked Set XY-Wing: A=r3c9 {46}, B=r6c37 {346}, C=r1c38 {346}, X,Y=3,4, Z=6 => r6c9<>6
Forcing Chain Contradiction in r9c1 => r1c3=3
r1c3<>3 r1c1=3 r9c1<>3
r1c3<>3 r1c3=6 r7c3<>6 r7c3=4 r9c1<>4
r1c3<>3 r1c3=6 r1c8<>6 r9c8=6 r9c1<>6
Naked Pair: 4,6 in r6c37 => r6c29<>4, r6c2<>6
Naked Single: r6c9=2
Remote Pair: 6/4 r7c3 -4- r6c3 -6- r6c7 -4- r8c7 => r8c2<>6
Naked Single: r8c2=3
Naked Single: r6c2=7
Hidden Single: r4c1=3
Hidden Single: r9c5=3
Naked Triple: 4,6,7 in r3c159 => r3c4<>6, r3c46<>7, r3c6<>4
Remote Pair: 4/6 r2c2 -6- r4c2 -4- r4c9 -6- r3c9 => r3c1<>4
Naked Single: r3c1=7
Naked Single: r3c5=6
Naked Single: r3c9=4
Full House: r1c8=6
Full House: r4c9=6
Full House: r9c8=4
Full House: r6c7=4
Full House: r8c7=6
Naked Single: r4c2=4
Full House: r6c3=6
Full House: r2c2=6
Full House: r7c3=4
Full House: r9c1=6
Naked Single: r7c5=5
Full House: r7c4=6
Naked Single: r6c5=8
Naked Single: r1c5=4
Full House: r1c1=8
Full House: r8c5=7
Full House: r2c1=4
Naked Single: r6c6=3
Full House: r6c4=5
Naked Single: r8c4=8
Full House: r8c6=4
Naked Single: r3c6=9
Full House: r3c4=3
Naked Single: r2c4=7
Full House: r2c6=8
Naked Single: r9c6=2
Full House: r4c6=7
Full House: r4c4=2
Full House: r9c4=9
|
normal_sudoku_2895 | 36....59....35...25.8.9..4.....1...4..183.9.56.57.9.1..5......6..6.8..791..96245. | 362478591794351682518296347983615724271834965645729813859147236426583179137962458 | normal_sudoku_2895 | 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 6 . . . . 5 9 .
. . . 3 5 . . . 2
5 . 8 . 9 . . 4 .
. . . . 1 . . . 4
. . 1 8 3 . 9 . 5
6 . 5 7 . 9 . 1 .
. 5 . . . . . . 6
. . 6 . 8 . . 7 9
1 . . 9 6 2 4 5 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 362478591794351682518296347983615724271834965645729813859147236426583179137962458 #1 Hard (774)
Hidden Single: r4c7=7
Locked Candidates Type 1 (Pointing): 6 in b6 => r2c8<>6
Naked Single: r2c8=8
Hidden Single: r1c6=8
Locked Candidates Type 1 (Pointing): 8 in b6 => r6c2<>8
Locked Candidates Type 1 (Pointing): 7 in b8 => r7c13<>7
Locked Candidates Type 1 (Pointing): 1 in b9 => r23c7<>1
Naked Single: r2c7=6
Naked Single: r3c7=3
2-String Kite: 2 in r3c2,r6c5 (connected by r1c5,r3c4) => r6c2<>2
XY-Wing: 4/6/2 in r5c68,r6c5 => r6c7<>2
Naked Single: r6c7=8
Naked Single: r6c9=3
Naked Single: r6c2=4
Full House: r6c5=2
Naked Single: r9c9=8
Hidden Single: r7c1=8
Hidden Single: r7c8=3
Hidden Single: r5c6=4
Hidden Single: r4c2=8
Hidden Single: r7c3=9
Hidden Single: r8c6=3
Naked Single: r8c2=2
Naked Single: r5c2=7
Naked Single: r8c1=4
Naked Single: r8c7=1
Full House: r7c7=2
Full House: r8c4=5
Naked Single: r3c2=1
Naked Single: r5c1=2
Full House: r5c8=6
Full House: r4c8=2
Naked Single: r9c2=3
Full House: r2c2=9
Full House: r9c3=7
Naked Single: r4c4=6
Full House: r4c6=5
Naked Single: r3c9=7
Full House: r1c9=1
Naked Single: r4c1=9
Full House: r4c3=3
Full House: r2c1=7
Naked Single: r2c3=4
Full House: r2c6=1
Full House: r1c3=2
Naked Single: r3c4=2
Full House: r3c6=6
Full House: r7c6=7
Naked Single: r1c4=4
Full House: r1c5=7
Full House: r7c5=4
Full House: r7c4=1
|
normal_sudoku_2882 | 2..4.3.7.........4...8.....35..4.1.7.927.5.4.47........2.5.7.3...3.9.7.67..38...2 | 281453679937621584564879321358942167192765843476138295629517438813294756745386912 | normal_sudoku_2882 | 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 . 3 . 7 .
. . . . . . . . 4
. . . 8 . . . . .
3 5 . . 4 . 1 . 7
. 9 2 7 . 5 . 4 .
4 7 . . . . . . .
. 2 . 5 . 7 . 3 .
. . 3 . 9 . 7 . 6
7 . . 3 8 . . . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 281453679937621584564879321358942167192765843476138295629517438813294756745386912 #1 Extreme (1974)
Grouped Discontinuous Nice Loop: 6 r7c3 -6- r7c5 -1- r5c5 =1= r5c1 =6= r46c3 -6- r7c3 => r7c3<>6
Finned Swordfish: 6 r157 c157 fr1c2 fr1c3 => r23c1<>6
Continuous Nice Loop: 1/8 6= r5c1 =1= r5c5 -1- r7c5 -6- r7c1 =6= r5c1 =1 => r1236c5<>1, r5c1<>8
Locked Candidates Type 1 (Pointing): 8 in b4 => r127c3<>8
Locked Candidates Type 2 (Claiming): 8 in r5 => r46c8,r6c79<>8
Turbot Fish: 1 r6c3 =1= r5c1 -1- r5c5 =1= r7c5 => r7c3<>1
Empty Rectangle: 8 in b1 (r28c8) => r8c2<>8
Locked Candidates Type 1 (Pointing): 8 in b7 => r2c1<>8
Naked Triple: 1,2,4 in r8c246 => r8c18<>1
Hidden Rectangle: 6/8 in r4c36,r6c36 => r6c6<>6
Sashimi Swordfish: 1 r157 c159 fr1c2 fr1c3 => r23c1<>1
Locked Pair: 5,9 in r23c1 => r123c3,r7c1<>9, r123c3,r8c1<>5
Naked Single: r8c1=8
Naked Single: r8c8=5
Hidden Single: r9c3=5
Hidden Single: r2c8=8
Hidden Single: r7c3=9
Hidden Single: r1c2=8
Hidden Single: r7c7=4
Naked Single: r9c7=9
Naked Single: r9c8=1
Full House: r7c9=8
Naked Single: r5c9=3
Hidden Single: r3c3=4
Hidden Single: r5c7=8
Hidden Single: r1c9=9
Naked Single: r6c9=5
Full House: r3c9=1
Hidden Single: r6c5=3
Hidden Single: r3c5=7
Hidden Single: r2c3=7
Hidden Single: r1c3=1
Hidden Single: r2c5=2
Hidden Single: r8c2=1
Naked Single: r7c1=6
Full House: r7c5=1
Full House: r9c2=4
Full House: r9c6=6
Naked Single: r8c4=2
Full House: r8c6=4
Naked Single: r5c1=1
Full House: r5c5=6
Full House: r1c5=5
Full House: r1c7=6
Naked Single: r3c6=9
Naked Single: r4c4=9
Naked Single: r3c8=2
Naked Single: r6c7=2
Naked Single: r2c6=1
Full House: r2c4=6
Full House: r6c4=1
Naked Single: r3c1=5
Full House: r2c1=9
Naked Single: r4c8=6
Full House: r6c8=9
Naked Single: r6c6=8
Full House: r4c6=2
Full House: r4c3=8
Full House: r6c3=6
Naked Single: r2c2=3
Full House: r2c7=5
Full House: r3c7=3
Full House: r3c2=6
|
normal_sudoku_1060 | 4..51.98.......7.....2...1.9...2.4..638..1.9...4.3.87.84.396.57.69.5...8..3182649 | 426517983591843762387269514975628431638471295214935876842396157169754328753182649 | normal_sudoku_1060 | 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 . 9 8 .
. . . . . . 7 . .
. . . 2 . . . 1 .
9 . . . 2 . 4 . .
6 3 8 . . 1 . 9 .
. . 4 . 3 . 8 7 .
8 4 . 3 9 6 . 5 7
. 6 9 . 5 . . . 8
. . 3 1 8 2 6 4 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 426517983591843762387269514975628431638471295214935876842396157169754328753182649 #1 Extreme (1932)
Locked Candidates Type 1 (Pointing): 2 in b4 => r6c9<>2
Locked Candidates Type 1 (Pointing): 7 in b4 => r4c46<>7
Locked Candidates Type 1 (Pointing): 6 in b5 => r2c4<>6
Locked Candidates Type 1 (Pointing): 7 in b8 => r8c1<>7
Locked Candidates Type 2 (Claiming): 5 in r5 => r46c9<>5
Naked Pair: 4,7 in r58c4 => r2c4<>4
Hidden Pair: 8,9 in r23c2 => r2c2<>1, r2c2<>2, r23c2<>5, r3c2<>7
Locked Candidates Type 2 (Claiming): 1 in c2 => r4c3,r6c1<>1
Naked Pair: 8,9 in r2c24 => r2c6<>8, r2c6<>9
Naked Triple: 3,4,7 in r128c6 => r3c6<>3, r3c6<>4, r3c6<>7
2-String Kite: 2 in r2c8,r7c3 (connected by r7c7,r8c8) => r2c3<>2
Hidden Rectangle: 4/6 in r2c59,r3c59 => r3c9<>6
Sue de Coq: r3c123 - {356789} (r3c67 - {3589}, r1c23 - {267}) => r2c1<>2, r2c3<>6, r3c9<>3, r3c9<>5
Naked Single: r3c9=4
Locked Candidates Type 1 (Pointing): 2 in b1 => r1c9<>2
Naked Triple: 1,3,6 in r146c9 => r2c9<>3, r2c9<>6
XY-Chain: 1 1- r2c3 -5- r2c9 -2- r5c9 -5- r5c7 -2- r7c7 -1- r7c3 -2- r8c1 -1 => r2c1,r7c3<>1
Naked Single: r7c3=2
Full House: r7c7=1
Naked Single: r8c1=1
Hidden Single: r2c3=1
Hidden Single: r1c2=2
Hidden Single: r6c1=2
XY-Chain: 3 3- r1c9 -6- r1c3 -7- r4c3 -5- r4c6 -8- r4c4 -6- r4c8 -3 => r2c8,r4c9<>3
Hidden Single: r4c8=3
Naked Single: r8c8=2
Full House: r2c8=6
Full House: r8c7=3
Naked Single: r1c9=3
Naked Single: r2c5=4
Naked Single: r3c7=5
Full House: r2c9=2
Full House: r5c7=2
Naked Single: r1c6=7
Full House: r1c3=6
Naked Single: r2c6=3
Naked Single: r5c5=7
Full House: r3c5=6
Naked Single: r5c9=5
Full House: r5c4=4
Naked Single: r8c6=4
Full House: r8c4=7
Naked Single: r3c3=7
Full House: r4c3=5
Naked Single: r2c1=5
Naked Single: r3c1=3
Full House: r9c1=7
Full House: r9c2=5
Naked Single: r4c6=8
Naked Single: r6c2=1
Full House: r4c2=7
Naked Single: r3c6=9
Full House: r2c4=8
Full House: r3c2=8
Full House: r6c6=5
Full House: r2c2=9
Naked Single: r4c4=6
Full House: r4c9=1
Full House: r6c9=6
Full House: r6c4=9
|
normal_sudoku_1103 | 48..15..7.1....4933....48151.5843...638.921.4..41...3.8.34...........78.7.1.893.. | 489315627517268493362974815125843976638792154974156238893427561246531789751689342 | normal_sudoku_1103 | 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 . . 1 5 . . 7
. 1 . . . . 4 9 3
3 . . . . 4 8 1 5
1 . 5 8 4 3 . . .
6 3 8 . 9 2 1 . 4
. . 4 1 . . . 3 .
8 . 3 4 . . . . .
. . . . . . 7 8 .
7 . 1 . 8 9 3 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 489315627517268493362974815125843976638792154974156238893427561246531789751689342 #1 Easy (328)
Hidden Single: r1c4=3
Hidden Single: r2c1=5
Hidden Single: r6c9=8
Hidden Single: r8c2=4
Hidden Single: r9c8=4
Hidden Single: r2c6=8
Hidden Single: r8c5=3
Hidden Single: r1c3=9
Hidden Single: r3c4=9
Hidden Single: r8c4=5
Naked Single: r5c4=7
Full House: r5c8=5
Naked Single: r6c6=6
Full House: r6c5=5
Naked Single: r8c6=1
Full House: r7c6=7
Hidden Single: r9c2=5
Hidden Single: r4c8=7
Hidden Single: r6c2=7
Hidden Single: r7c7=5
Hidden Single: r7c9=1
Hidden Single: r7c2=9
Naked Single: r4c2=2
Full House: r3c2=6
Full House: r6c1=9
Full House: r8c1=2
Full House: r6c7=2
Full House: r8c3=6
Full House: r8c9=9
Naked Single: r1c7=6
Full House: r1c8=2
Full House: r4c7=9
Full House: r4c9=6
Full House: r7c8=6
Full House: r9c9=2
Full House: r7c5=2
Full House: r9c4=6
Full House: r2c4=2
Naked Single: r3c5=7
Full House: r2c5=6
Full House: r2c3=7
Full House: r3c3=2
|
normal_sudoku_3717 | 7..5....2.381..57..657..3....1.4.........2.156..851.2.8426.5.3.197483.5635621..8. | 714539862238164579965728341521346798483972615679851423842695137197483256356217984 | normal_sudoku_3717 | 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 . . . . 2
. 3 8 1 . . 5 7 .
. 6 5 7 . . 3 . .
. . 1 . 4 . . . .
. . . . . 2 . 1 5
6 . . 8 5 1 . 2 .
8 4 2 6 . 5 . 3 .
1 9 7 4 8 3 . 5 6
3 5 6 2 1 . . 8 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 714539862238164579965728341521346798483972615679851423842695137197483256356217984 #1 Easy (246)
Full House: r8c7=2
Naked Single: r1c2=1
Naked Single: r6c2=7
Naked Single: r5c2=8
Full House: r4c2=2
Hidden Single: r3c9=1
Hidden Single: r1c5=3
Hidden Single: r4c1=5
Hidden Single: r7c7=1
Hidden Single: r3c6=8
Hidden Single: r4c9=8
Hidden Single: r1c7=8
Hidden Single: r4c4=3
Full House: r5c4=9
Naked Single: r5c1=4
Naked Single: r5c3=3
Full House: r6c3=9
Full House: r1c3=4
Naked Single: r6c7=4
Full House: r6c9=3
Hidden Single: r1c8=6
Full House: r1c6=9
Naked Single: r4c8=9
Full House: r3c8=4
Full House: r2c9=9
Naked Single: r3c5=2
Full House: r3c1=9
Full House: r2c1=2
Naked Single: r9c6=7
Full House: r7c5=9
Full House: r7c9=7
Full House: r9c9=4
Full House: r9c7=9
Naked Single: r2c5=6
Full House: r2c6=4
Full House: r4c6=6
Full House: r5c5=7
Full House: r4c7=7
Full House: r5c7=6
|
normal_sudoku_894 | .49...3...6.4...5.85....94.483215796617943.2.925.8.4.3.7.13..8..9...2....3..9..71 | 749851362362479158851326947483215796617943825925687413576134289198762534234598671 | normal_sudoku_894 | 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 9 . . . 3 . .
. 6 . 4 . . . 5 .
8 5 . . . . 9 4 .
4 8 3 2 1 5 7 9 6
6 1 7 9 4 3 . 2 .
9 2 5 . 8 . 4 . 3
. 7 . 1 3 . . 8 .
. 9 . . . 2 . . .
. 3 . . 9 . . 7 1 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 749851362362479158851326947483215796617943825925687413576134289198762534234598671 #1 Easy (206)
Naked Single: r6c8=1
Naked Single: r1c8=6
Full House: r8c8=3
Hidden Single: r2c1=3
Hidden Single: r3c4=3
Hidden Single: r2c6=9
Hidden Single: r7c9=9
Hidden Single: r2c7=1
Naked Single: r2c3=2
Naked Single: r2c5=7
Full House: r2c9=8
Naked Single: r3c3=1
Full House: r1c1=7
Naked Single: r5c9=5
Full House: r5c7=8
Naked Single: r3c6=6
Naked Single: r1c9=2
Full House: r3c9=7
Full House: r8c9=4
Full House: r3c5=2
Naked Single: r6c6=7
Full House: r6c4=6
Naked Single: r7c6=4
Naked Single: r1c5=5
Full House: r8c5=6
Naked Single: r7c3=6
Naked Single: r9c6=8
Full House: r1c6=1
Full House: r1c4=8
Naked Single: r8c3=8
Full House: r9c3=4
Naked Single: r8c7=5
Naked Single: r9c4=5
Full House: r8c4=7
Full House: r8c1=1
Naked Single: r7c7=2
Full House: r7c1=5
Full House: r9c1=2
Full House: r9c7=6
|
normal_sudoku_1952 | .625843.9435917.82...2631....83.9..1...6...3..2.478..521.7.5...5768.2..3..91..... | 162584379435917682987263154658329741794651238321478965213745896576892413849136527 | normal_sudoku_1952 | 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 8 4 3 . 9
4 3 5 9 1 7 . 8 2
. . . 2 6 3 1 . .
. . 8 3 . 9 . . 1
. . . 6 . . . 3 .
. 2 . 4 7 8 . . 5
2 1 . 7 . 5 . . .
5 7 6 8 . 2 . . 3
. . 9 1 . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 162584379435917682987263154658329741794651238321478965213745896576892413849136527 #1 Easy (156)
Full House: r2c7=6
Naked Single: r1c8=7
Full House: r1c1=1
Naked Single: r5c6=1
Full House: r9c6=6
Naked Single: r3c3=7
Naked Single: r6c7=9
Naked Single: r3c9=4
Full House: r3c8=5
Naked Single: r5c3=4
Naked Single: r6c8=6
Naked Single: r8c7=4
Naked Single: r4c2=5
Naked Single: r7c3=3
Full House: r6c3=1
Full House: r6c1=3
Naked Single: r7c7=8
Naked Single: r7c8=9
Naked Single: r8c5=9
Full House: r8c8=1
Naked Single: r9c8=2
Full House: r4c8=4
Naked Single: r4c5=2
Full House: r5c5=5
Naked Single: r5c2=9
Naked Single: r9c1=8
Full House: r9c2=4
Full House: r3c2=8
Full House: r3c1=9
Naked Single: r7c9=6
Full House: r7c5=4
Full House: r9c5=3
Naked Single: r9c9=7
Full House: r5c9=8
Full House: r9c7=5
Naked Single: r4c7=7
Full House: r4c1=6
Full House: r5c1=7
Full House: r5c7=2
|
normal_sudoku_62 | 1..897..3.38..1.7.7....6.8...1...5.85.2.18.3.8.3.59214.....53..25.1....63.4..2... | 145897623638521479729346185491273568562418937873659214916785342257134896384962751 | normal_sudoku_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 | 1 . . 8 9 7 . . 3
. 3 8 . . 1 . 7 .
7 . . . . 6 . 8 .
. . 1 . . . 5 . 8
5 . 2 . 1 8 . 3 .
8 . 3 . 5 9 2 1 4
. . . . . 5 3 . .
2 5 . 1 . . . . 6
3 . 4 . . 2 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 145897623638521479729346185491273568562418937873659214916785342257134896384962751 #1 Unfair (1300)
Locked Candidates Type 1 (Pointing): 7 in b4 => r79c2<>7
Locked Candidates Type 1 (Pointing): 7 in b6 => r5c24<>7
Naked Triple: 6,7,9 in r7c13,r8c3 => r79c2<>6, r79c2<>9
Locked Candidates Type 1 (Pointing): 6 in b7 => r7c45<>6
Hidden Triple: 2,3,5 in r234c4 => r234c4<>4, r4c4<>6, r4c4<>7
Locked Candidates Type 1 (Pointing): 4 in b2 => r478c5<>4
2-String Kite: 6 in r2c1,r4c8 (connected by r1c8,r2c7) => r4c1<>6
Locked Candidates Type 1 (Pointing): 6 in b4 => r1c2<>6
W-Wing: 9/4 in r4c1,r8c8 connected by 4 in r48c6 => r4c8<>9
Naked Single: r4c8=6
Hidden Single: r9c5=6
Locked Candidates Type 1 (Pointing): 9 in b6 => r5c2<>9
Locked Candidates Type 2 (Claiming): 9 in c8 => r79c9,r89c7<>9
XY-Chain: 9 9- r8c8 -4- r8c6 -3- r4c6 -4- r5c4 -6- r6c4 -7- r9c4 -9 => r9c8<>9
Naked Single: r9c8=5
Hidden Single: r9c4=9
Hidden Single: r1c3=5
Naked Single: r3c3=9
Naked Single: r8c3=7
Full House: r7c3=6
Naked Single: r7c1=9
Naked Single: r4c1=4
Full House: r2c1=6
Naked Single: r4c6=3
Full House: r8c6=4
Naked Single: r5c2=6
Naked Single: r4c4=2
Naked Single: r7c4=7
Naked Single: r8c7=8
Naked Single: r8c8=9
Full House: r8c5=3
Full House: r7c5=8
Naked Single: r5c4=4
Naked Single: r6c2=7
Full House: r6c4=6
Full House: r4c5=7
Full House: r4c2=9
Naked Single: r2c4=5
Full House: r3c4=3
Naked Single: r7c2=1
Full House: r9c2=8
Naked Single: r7c9=2
Full House: r7c8=4
Full House: r1c8=2
Naked Single: r2c9=9
Naked Single: r1c2=4
Full House: r1c7=6
Full House: r3c2=2
Naked Single: r2c7=4
Full House: r2c5=2
Full House: r3c5=4
Naked Single: r5c9=7
Full House: r5c7=9
Naked Single: r3c7=1
Full House: r3c9=5
Full House: r9c9=1
Full House: r9c7=7
|
normal_sudoku_2823 | .56.72...417.8.25...3.15...1.925.7847.5841.9..48.9.1.5.9..3.4.6671.24.....4.6.... | 956472813417683259823915647139256784765841392248397165592138476671524938384769521 | normal_sudoku_2823 | 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 2 . . .
4 1 7 . 8 . 2 5 .
. . 3 . 1 5 . . .
1 . 9 2 5 . 7 8 4
7 . 5 8 4 1 . 9 .
. 4 8 . 9 . 1 . 5
. 9 . . 3 . 4 . 6
6 7 1 . 2 4 . . .
. . 4 . 6 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 956472813417683259823915647139256784765841392248397165592138476671524938384769521 #1 Extreme (1816)
Full House: r7c3=2
Naked Single: r8c8=3
Locked Candidates Type 1 (Pointing): 6 in b3 => r3c4<>6
Locked Candidates Type 1 (Pointing): 3 in b6 => r5c2<>3
Locked Candidates Type 2 (Claiming): 8 in r8 => r9c79<>8
Naked Triple: 5,8,9 in r8c79,r9c7 => r9c9<>9
XYZ-Wing: 3/8/9 in r1c17,r2c9 => r1c9<>9
AIC: 8 8- r7c6 =8= r9c6 =9= r2c6 -9- r2c9 -3- r5c9 -2- r5c2 =2= r3c2 =8= r9c2 -8 => r7c1,r9c6<>8
Naked Single: r7c1=5
Hidden Single: r7c6=8
Uniqueness Test 6: 5/9 in r8c47,r9c47 => r8c7,r9c4<>5
Hidden Single: r8c4=5
Hidden Single: r9c7=5
XYZ-Wing: 3/8/9 in r18c7,r2c9 => r3c7<>9
W-Wing: 8/9 in r1c1,r8c9 connected by 9 in r18c7 => r1c9<>8
XY-Wing: 2/8/6 in r3c27,r5c2 => r5c7<>6
Naked Single: r5c7=3
Naked Single: r5c9=2
Full House: r5c2=6
Full House: r6c8=6
Naked Single: r4c2=3
Full House: r4c6=6
Full House: r6c1=2
Naked Single: r9c2=8
Full House: r3c2=2
Full House: r9c1=3
Hidden Single: r3c7=6
Hidden Single: r9c8=2
Hidden Single: r2c4=6
Naked Pair: 8,9 in r1c17 => r1c4<>9
XY-Chain: 3 3- r1c9 -1- r9c9 -7- r9c6 -9- r2c6 -3 => r1c4,r2c9<>3
Naked Single: r1c4=4
Naked Single: r2c9=9
Full House: r2c6=3
Full House: r3c4=9
Naked Single: r1c8=1
Naked Single: r1c7=8
Full House: r8c7=9
Full House: r8c9=8
Naked Single: r6c6=7
Full House: r6c4=3
Full House: r9c6=9
Naked Single: r3c1=8
Full House: r1c1=9
Full House: r1c9=3
Naked Single: r7c8=7
Full House: r3c8=4
Full House: r3c9=7
Full House: r7c4=1
Full House: r9c9=1
Full House: r9c4=7
|
normal_sudoku_1695 | .9.1..832.5.283469.3.9..571.7.31.62..124.835..8.7.....32.69...5.6.527....4.83.... | 496175832157283469238946571574319628912468357683752914321694785869527143745831296 | normal_sudoku_1695 | 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 . 1 . . 8 3 2
. 5 . 2 8 3 4 6 9
. 3 . 9 . . 5 7 1
. 7 . 3 1 . 6 2 .
. 1 2 4 . 8 3 5 .
. 8 . 7 . . . . .
3 2 . 6 9 . . . 5
. 6 . 5 2 7 . . .
. 4 . 8 3 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 496175832157283469238946571574319628912468357683752914321694785869527143745831296 #1 Easy (156)
Naked Single: r5c9=7
Naked Single: r6c9=4
Naked Single: r5c5=6
Full House: r5c1=9
Naked Single: r9c6=1
Full House: r7c6=4
Naked Single: r9c9=6
Naked Single: r4c9=8
Full House: r8c9=3
Naked Single: r3c5=4
Naked Single: r6c5=5
Full House: r1c5=7
Naked Single: r9c8=9
Naked Single: r3c6=6
Full House: r1c6=5
Naked Single: r4c6=9
Full House: r6c6=2
Naked Single: r6c1=6
Naked Single: r6c8=1
Full House: r6c7=9
Full House: r6c3=3
Naked Single: r8c7=1
Naked Single: r3c3=8
Full House: r3c1=2
Naked Single: r1c1=4
Full House: r1c3=6
Naked Single: r7c8=8
Full House: r8c8=4
Naked Single: r7c7=7
Full House: r7c3=1
Full House: r9c7=2
Naked Single: r8c1=8
Full House: r8c3=9
Naked Single: r4c1=5
Full House: r4c3=4
Naked Single: r2c3=7
Full House: r2c1=1
Full House: r9c1=7
Full House: r9c3=5
|
normal_sudoku_5252 | .....31..3..1..62..5..6...3..5....48.9.8.....2...45..15....2.76....7.51.647..1..2 | 976523184384197625152468793765219348491836257238745961519382476823674519647951832 | normal_sudoku_5252 | 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 1 . .
3 . . 1 . . 6 2 .
. 5 . . 6 . . . 3
. . 5 . . . . 4 8
. 9 . 8 . . . . .
2 . . . 4 5 . . 1
5 . . . . 2 . 7 6
. . . . 7 . 5 1 .
6 4 7 . . 1 . . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 976523184384197625152468793765219348491836257238745961519382476823674519647951832 #1 Extreme (2224)
Grouped Discontinuous Nice Loop: 8 r1c5 -8- r2c56 =8= r2c23 -8- r13c1 =8= r8c1 -8- r8c6 =8= r79c5 -8- r1c5 => r1c5<>8
Grouped AIC: 7 7- r2c2 -8- r1c123 =8= r1c8 =5= r5c8 -5- r5c9 -7- r456c7 =7= r3c7 -7 => r2c9,r3c1<>7
Finned Swordfish: 7 c169 r145 fr2c6 fr3c6 => r1c4<>7
Discontinuous Nice Loop: 9 r1c9 -9- r8c9 -4- r7c7 =4= r3c7 =7= r1c9 => r1c9<>9
Empty Rectangle: 9 in b7 (r28c9) => r2c3<>9
W-Wing: 8/9 in r3c8,r8c1 connected by 9 in r28c9 => r3c1<>8
Grouped Discontinuous Nice Loop: 4 r2c6 -4- r2c3 -8- r1c123 =8= r1c8 =5= r5c8 -5- r5c9 -7- r1c9 =7= r3c7 -7- r3c46 =7= r2c6 => r2c6<>4
Skyscraper: 4 in r7c7,r8c6 (connected by r3c67) => r7c4,r8c9<>4
Naked Single: r8c9=9
Naked Single: r8c1=8
Hidden Single: r7c7=4
Hidden Single: r7c3=9
Naked Single: r7c4=3
Naked Single: r7c2=1
Full House: r7c5=8
Locked Candidates Type 2 (Claiming): 9 in r2 => r1c45,r3c46<>9
Naked Pair: 5,9 in r29c5 => r1c5<>5, r4c5<>9
Naked Single: r1c5=2
Hidden Single: r8c2=2
Full House: r8c3=3
Hidden Single: r3c3=2
Hidden Single: r4c4=2
Hidden Single: r5c7=2
Hidden Single: r3c1=1
Naked Single: r4c1=7
Naked Single: r5c1=4
Full House: r1c1=9
Hidden Single: r5c3=1
Naked Single: r5c5=3
Naked Single: r4c5=1
Locked Candidates Type 2 (Claiming): 4 in r3 => r1c4<>4
Naked Single: r1c4=5
Naked Single: r1c8=8
Naked Single: r2c5=9
Full House: r9c5=5
Naked Single: r9c4=9
Naked Single: r3c8=9
Naked Single: r9c8=3
Full House: r9c7=8
Naked Single: r3c7=7
Naked Single: r6c8=6
Full House: r5c8=5
Naked Single: r1c9=4
Full House: r2c9=5
Full House: r5c9=7
Full House: r5c6=6
Naked Single: r3c4=4
Full House: r3c6=8
Full House: r2c6=7
Naked Single: r6c3=8
Naked Single: r6c4=7
Full House: r4c6=9
Full House: r8c6=4
Full House: r8c4=6
Naked Single: r1c3=6
Full House: r2c3=4
Full House: r2c2=8
Full House: r1c2=7
Naked Single: r6c2=3
Full House: r4c2=6
Full House: r4c7=3
Full House: r6c7=9
|
normal_sudoku_1711 | 3...8.762..15..493.6...4815...732..1...4982.672.651..9.4.21...8..7.6.1.49......37 | 354189762871526493269374815496732581135498276728651349643217958587963124912845637 | normal_sudoku_1711 | 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 2
. . 1 5 . . 4 9 3
. 6 . . . 4 8 1 5
. . . 7 3 2 . . 1
. . . 4 9 8 2 . 6
7 2 . 6 5 1 . . 9
. 4 . 2 1 . . . 8
. . 7 . 6 . 1 . 4
9 . . . . . . 3 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 354189762871526493269374815496732581135498276728651349643217958587963124912845637 #1 Easy (160)
Naked Single: r1c6=9
Naked Single: r4c7=5
Naked Single: r6c7=3
Naked Single: r3c1=2
Naked Single: r9c4=8
Naked Single: r7c8=5
Naked Single: r9c5=4
Naked Single: r9c6=5
Naked Single: r1c2=5
Naked Single: r1c4=1
Full House: r1c3=4
Naked Single: r3c4=3
Full House: r8c4=9
Naked Single: r5c8=7
Naked Single: r9c7=6
Full House: r7c7=9
Full House: r8c8=2
Naked Single: r2c1=8
Naked Single: r3c3=9
Full House: r3c5=7
Full House: r2c2=7
Full House: r2c5=2
Full House: r2c6=6
Naked Single: r7c1=6
Naked Single: r8c6=3
Full House: r7c6=7
Full House: r7c3=3
Naked Single: r9c2=1
Full House: r9c3=2
Naked Single: r6c3=8
Full House: r6c8=4
Full House: r4c8=8
Naked Single: r8c1=5
Full House: r8c2=8
Naked Single: r4c1=4
Full House: r5c1=1
Naked Single: r5c3=5
Full House: r5c2=3
Full House: r4c2=9
Full House: r4c3=6
|
normal_sudoku_2743 | .82.45691..192837595..16....95..4..3.48..9..6.73...9...26....34.1..6..29.......67 | 382745691461928375957316482695874213148239756273651948826197534714563829539482167 | normal_sudoku_2743 | 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 . 4 5 6 9 1
. . 1 9 2 8 3 7 5
9 5 . . 1 6 . . .
. 9 5 . . 4 . . 3
. 4 8 . . 9 . . 6
. 7 3 . . . 9 . .
. 2 6 . . . . 3 4
. 1 . . 6 . . 2 9
. . . . . . . 6 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 382745691461928375957316482695874213148239756273651948826197534714563829539482167 #1 Easy (178)
Naked Single: r2c2=6
Full House: r9c2=3
Full House: r2c1=4
Naked Single: r3c3=7
Full House: r1c1=3
Full House: r1c4=7
Full House: r3c4=3
Naked Single: r8c3=4
Full House: r9c3=9
Hidden Single: r6c8=4
Naked Single: r3c8=8
Naked Single: r3c9=2
Full House: r3c7=4
Full House: r6c9=8
Naked Single: r4c8=1
Full House: r5c8=5
Naked Single: r6c5=5
Naked Single: r9c5=8
Naked Single: r4c5=7
Naked Single: r8c4=5
Naked Single: r9c1=5
Naked Single: r4c7=2
Full House: r5c7=7
Naked Single: r5c5=3
Full House: r7c5=9
Naked Single: r7c4=1
Naked Single: r8c7=8
Naked Single: r9c7=1
Full House: r7c7=5
Naked Single: r4c1=6
Full House: r4c4=8
Naked Single: r5c4=2
Full House: r5c1=1
Full House: r6c1=2
Naked Single: r7c6=7
Full House: r7c1=8
Full House: r8c1=7
Full House: r8c6=3
Naked Single: r9c6=2
Full House: r6c6=1
Full House: r6c4=6
Full House: r9c4=4
|
normal_sudoku_283 | 4.2.586....54.68.26..2.15..9..5.7.2..57..2..62.48.3957.26..9..55...84269.49625.3. | 472958613195436872683271594968547321357192486214863957826319745531784269749625138 | normal_sudoku_283 | 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 . 5 8 6 . .
. . 5 4 . 6 8 . 2
6 . . 2 . 1 5 . .
9 . . 5 . 7 . 2 .
. 5 7 . . 2 . . 6
2 . 4 8 . 3 9 5 7
. 2 6 . . 9 . . 5
5 . . . 8 4 2 6 9
. 4 9 6 2 5 . 3 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 472958613195436872683271594968547321357192486214863957826319745531784269749625138 #1 Extreme (2824)
Locked Candidates Type 1 (Pointing): 3 in b3 => r4c9<>3
Locked Candidates Type 1 (Pointing): 7 in b3 => r7c8<>7
Locked Candidates Type 1 (Pointing): 8 in b7 => r5c1<>8
Hidden Single: r5c8=8
Hidden Single: r9c9=8
Hidden Single: r7c1=8
Locked Candidates Type 1 (Pointing): 3 in b7 => r8c4<>3
2-String Kite: 1 in r4c3,r9c7 (connected by r8c3,r9c1) => r4c7<>1
Uniqueness Test 4: 1/6 in r4c25,r6c25 => r4c25<>1
Hidden Rectangle: 3/8 in r3c23,r4c23 => r4c2<>3
Multi Colors 1: 1 (r1c9,r4c3,r5c7) / (r4c9,r8c3), (r9c1) / (r9c7) => r7c7,r8c2<>1
Discontinuous Nice Loop: 3 r3c2 -3- r3c9 -4- r4c9 -1- r4c3 =1= r8c3 =3= r8c2 -3- r3c2 => r3c2<>3
Discontinuous Nice Loop: 1 r7c4 -1- r7c8 -4- r3c8 =4= r3c9 =3= r1c9 -3- r1c4 =3= r7c4 => r7c4<>1
Skyscraper: 1 in r4c3,r5c4 (connected by r8c34) => r5c1<>1
Naked Single: r5c1=3
Hidden Single: r4c7=3
2-String Kite: 1 in r5c7,r7c5 (connected by r7c8,r9c7) => r5c5<>1
Turbot Fish: 1 r1c9 =1= r4c9 -1- r4c3 =1= r6c2 => r1c2<>1
Locked Candidates Type 1 (Pointing): 1 in b1 => r2c8<>1
XY-Chain: 9 9- r2c8 -7- r2c1 -1- r9c1 -7- r9c7 -1- r5c7 -4- r5c5 -9 => r2c5<>9
W-Wing: 3/7 in r2c5,r8c2 connected by 7 in r29c1 => r2c2<>3
Hidden Single: r2c5=3
Hidden Single: r7c4=3
2-String Kite: 7 in r3c5,r8c2 (connected by r7c5,r8c4) => r3c2<>7
W-Wing: 9/7 in r1c4,r2c8 connected by 7 in r3c58 => r1c8<>9
W-Wing: 1/7 in r1c8,r7c5 connected by 7 in r3c58 => r7c8<>1
Naked Single: r7c8=4
Naked Single: r7c7=7
Full House: r7c5=1
Full House: r9c7=1
Full House: r8c4=7
Full House: r5c7=4
Full House: r9c1=7
Full House: r4c9=1
Full House: r2c1=1
Naked Single: r6c5=6
Full House: r6c2=1
Naked Single: r1c4=9
Full House: r3c5=7
Full House: r5c4=1
Full House: r5c5=9
Full House: r4c5=4
Naked Single: r8c2=3
Full House: r8c3=1
Naked Single: r1c9=3
Full House: r3c9=4
Naked Single: r4c3=8
Full House: r3c3=3
Full House: r4c2=6
Naked Single: r3c8=9
Full House: r3c2=8
Naked Single: r1c2=7
Full House: r1c8=1
Full House: r2c8=7
Full House: r2c2=9
|
normal_sudoku_5583 | 86.1....52...8..61.....6.48.5.8....43...49...4.2.7....94..12...127938456...4.7.1. | 863124795294785361571396248759863124316249587482571639945612873127938456638457912 | normal_sudoku_5583 | 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 . 1 . . . . 5
2 . . . 8 . . 6 1
. . . . . 6 . 4 8
. 5 . 8 . . . . 4
3 . . . 4 9 . . .
4 . 2 . 7 . . . .
9 4 . . 1 2 . . .
1 2 7 9 3 8 4 5 6
. . . 4 . 7 . 1 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 863124795294785361571396248759863124316249587482571639945612873127938456638457912 #1 Hard (960)
Locked Triple: 3,7,8 in r7c789 => r7c3,r9c79<>3, r7c3,r9c7<>8
Locked Candidates Type 2 (Claiming): 7 in r1 => r23c7<>7
Naked Pair: 5,6 in r7c3,r9c1 => r9c3<>5, r9c3<>6
Naked Triple: 2,3,9 in r239c7 => r145c7<>2, r1467c7<>3, r146c7<>9
Naked Single: r1c7=7
Naked Single: r7c7=8
Locked Candidates Type 2 (Claiming): 3 in c7 => r1c8<>3
Naked Pair: 2,9 in r1c58 => r1c3<>9
X-Wing: 2 r14 c58 => r3c5,r5c8<>2
X-Wing: 5 c15 r39 => r3c34<>5
X-Wing: 6 c15 r49 => r4c37<>6
Naked Single: r4c7=1
Naked Single: r4c3=9
Naked Single: r4c6=3
Naked Single: r1c6=4
Naked Single: r1c3=3
Naked Single: r2c6=5
Full House: r6c6=1
Naked Single: r3c3=1
Naked Single: r9c3=8
Naked Single: r2c3=4
Naked Single: r3c5=9
Naked Single: r6c2=8
Naked Single: r5c3=6
Full House: r7c3=5
Naked Single: r9c2=3
Full House: r9c1=6
Naked Single: r1c5=2
Full House: r1c8=9
Naked Single: r3c2=7
Naked Single: r4c1=7
Full House: r3c1=5
Full House: r2c2=9
Full House: r5c2=1
Naked Single: r5c7=5
Naked Single: r7c4=6
Full House: r9c5=5
Full House: r4c5=6
Full House: r4c8=2
Naked Single: r2c7=3
Full House: r2c4=7
Full House: r3c4=3
Full House: r3c7=2
Naked Single: r6c8=3
Naked Single: r5c4=2
Full House: r6c4=5
Naked Single: r6c7=6
Full House: r9c7=9
Full House: r6c9=9
Full House: r9c9=2
Naked Single: r5c9=7
Full House: r5c8=8
Full House: r7c8=7
Full House: r7c9=3
|
normal_sudoku_3612 | ..1..3.6263241....5...2.1...1...7.5...516...97..8..21...8.416.71......8..6.9..5.1 | 471583962632419875589726143916237458825164739743895216258341697197652384364978521 | normal_sudoku_3612 | 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 . 6 2
6 3 2 4 1 . . . .
5 . . . 2 . 1 . .
. 1 . . . 7 . 5 .
. . 5 1 6 . . . 9
7 . . 8 . . 2 1 .
. . 8 . 4 1 6 . 7
1 . . . . . . 8 .
. 6 . 9 . . 5 . 1 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 471583962632419875589726143916237458825164739743895216258341697197652384364978521 #1 Extreme (3398)
Hidden Single: r2c9=5
Locked Candidates Type 2 (Claiming): 7 in r2 => r1c7,r3c8<>7
Discontinuous Nice Loop: 9 r2c7 -9- r8c7 =9= r7c8 =2= r9c8 -2- r9c6 -8- r2c6 =8= r2c7 => r2c7<>9
Discontinuous Nice Loop: 4 r5c7 -4- r5c6 -2- r9c6 -8- r2c6 =8= r2c7 =7= r5c7 => r5c7<>4
Discontinuous Nice Loop: 2 r7c2 -2- r7c8 =2= r9c8 -2- r9c6 -8- r9c5 =8= r1c5 =5= r1c4 -5- r7c4 =5= r7c2 => r7c2<>2
2-String Kite: 2 in r4c4,r8c2 (connected by r4c1,r5c2) => r8c4<>2
Discontinuous Nice Loop: 5 r7c4 -5- r7c2 =5= r8c2 =2= r8c6 =6= r8c4 -6- r3c4 -7- r1c4 -5- r7c4 => r7c4<>5
Hidden Single: r7c2=5
Naked Pair: 2,3 in r47c4 => r8c4<>3
2-String Kite: 9 in r1c7,r7c1 (connected by r7c8,r8c7) => r1c1<>9
Discontinuous Nice Loop: 4 r5c1 -4- r5c6 -2- r9c6 -8- r9c5 =8= r1c5 -8- r1c1 -4- r5c1 => r5c1<>4
Discontinuous Nice Loop: 3 r7c1 -3- r7c4 -2- r4c4 =2= r4c1 =9= r7c1 => r7c1<>3
Grouped Discontinuous Nice Loop: 7 r3c3 -7- r3c4 -6- r3c6 =6= r8c6 =2= r8c2 =7= r13c2 -7- r3c3 => r3c3<>7
Locked Candidates Type 1 (Pointing): 7 in b1 => r8c2<>7
Discontinuous Nice Loop: 9 r8c3 -9- r8c7 =9= r7c8 =2= r9c8 -2- r9c6 -8- r9c5 =8= r1c5 -8- r1c1 -4- r3c3 -9- r8c3 => r8c3<>9
Sashimi Swordfish: 9 r148 c257 fr4c1 fr4c3 => r6c2<>9
Naked Single: r6c2=4
Hidden Single: r5c6=4
Hidden Single: r4c4=2
Naked Single: r7c4=3
Naked Pair: 2,9 in r7c1,r8c2 => r9c1<>2
Skyscraper: 4 in r1c1,r3c8 (connected by r9c18) => r1c7,r3c3<>4
Naked Single: r3c3=9
Hidden Single: r1c1=4
Naked Single: r9c1=3
Hidden Single: r8c2=9
Naked Single: r7c1=2
Full House: r7c8=9
Naked Single: r5c1=8
Full House: r4c1=9
Naked Single: r2c8=7
Naked Single: r5c2=2
Naked Single: r4c5=3
Naked Single: r2c7=8
Full House: r2c6=9
Naked Single: r5c8=3
Full House: r5c7=7
Naked Single: r4c3=6
Full House: r6c3=3
Naked Single: r1c7=9
Naked Single: r4c7=4
Full House: r4c9=8
Full House: r6c9=6
Full House: r8c7=3
Naked Single: r6c6=5
Full House: r6c5=9
Naked Single: r3c8=4
Full House: r3c9=3
Full House: r8c9=4
Full House: r9c8=2
Naked Single: r8c3=7
Full House: r9c3=4
Naked Single: r9c6=8
Full House: r9c5=7
Naked Single: r8c5=5
Full House: r1c5=8
Naked Single: r3c6=6
Full House: r8c6=2
Full House: r8c4=6
Naked Single: r1c2=7
Full House: r1c4=5
Full House: r3c4=7
Full House: r3c2=8
|
normal_sudoku_3372 | .3..1.4.8..19.4.3.4.........74..2...8..4657133.6.9..4.......5....8......96..4..8. | 635217498721984635489356127174832956892465713356791842243178569518629374967543281 | normal_sudoku_3372 | 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 . . 1 . 4 . 8
. . 1 9 . 4 . 3 .
4 . . . . . . . .
. 7 4 . . 2 . . .
8 . . 4 6 5 7 1 3
3 . 6 . 9 . . 4 .
. . . . . . 5 . .
. . 8 . . . . . .
9 6 . . 4 . . 8 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 635217498721984635489356127174832956892465713356791842243178569518629374967543281 #1 Extreme (4868)
Locked Candidates Type 1 (Pointing): 2 in b6 => r6c2<>2
Discontinuous Nice Loop: 8 r6c4 -8- r6c7 -2- r2c7 -6- r2c1 =6= r1c1 -6- r1c6 -7- r6c6 =7= r6c4 => r6c4<>8
Forcing Chain Contradiction in r9 => r9c4<>7
r9c4=7 r9c4<>5 r9c3=5 r9c3<>2
r9c4=7 r9c4<>2
r9c4=7 r6c4<>7 r6c6=7 r1c6<>7 r1c6=6 r1c1<>6 r2c1=6 r2c7<>6 r2c7=2 r9c7<>2
r9c4=7 r6c4<>7 r6c4=1 r6c2<>1 r6c2=5 r6c9<>5 r6c9=2 r9c9<>2
Forcing Net Verity => r1c3<>7
r1c1=5 (r1c1<>2) (r3c3<>5 r9c3=5 r9c3<>2) (r3c3<>5 r9c3=5 r8c2<>5 r6c2=5 r6c9<>5 r6c9=2 r9c9<>2) r1c1<>6 r2c1=6 r2c7<>6 r2c7=2 (r1c8<>2) r9c7<>2 r9c4=2 r1c4<>2 r1c3=2 r1c3<>7
r1c3=5 r1c3<>7
r2c1=5 r2c1<>6 r1c1=6 r1c6<>6 r1c6=7 r1c3<>7
r2c2=5 r6c2<>5 r6c9=5 r6c9<>2 r6c7=2 r2c7<>2 r2c7=6 r2c1<>6 r1c1=6 r1c6<>6 r1c6=7 r1c3<>7
r3c2=5 (r1c1<>5) (r1c3<>5) (r2c1<>5) (r2c2<>5) r6c2<>5 r6c9=5 r2c9<>5 r2c5=5 r1c4<>5 r1c8=5 r1c8<>9 r1c3=9 r1c3<>7
r3c3=5 (r1c1<>5) (r1c3<>5) r9c3<>5 r9c4=5 r1c4<>5 r1c8=5 r1c8<>9 r1c3=9 r1c3<>7
Forcing Net Verity => r1c1<>7
r9c3=2 (r9c3<>7) r9c3<>3 r7c3=3 r7c3<>7 r3c3=7 r1c1<>7
r9c4=2 r9c4<>5 r9c3=5 (r9c3<>7) r9c3<>3 r7c3=3 r7c3<>7 r3c3=7 r1c1<>7
r9c7=2 r2c7<>2 r2c7=6 r2c1<>6 r1c1=6 r1c1<>7
r9c9=2 r6c9<>2 r6c7=2 r2c7<>2 r2c7=6 r2c1<>6 r1c1=6 r1c1<>7
AIC: 7 7- r1c6 -6- r1c1 =6= r2c1 =7= r3c3 -7 => r3c456<>7
Finned Swordfish: 7 c158 r278 fr1c8 fr3c8 => r2c9<>7
XYZ-Wing: 2/5/6 in r2c79,r6c9 => r3c9<>2
Continuous Nice Loop: 2/5/6/7 7= r2c1 =6= r1c1 -6- r1c6 -7- r2c5 =7= r2c1 =6 => r2c1<>2, r2c1<>5, r1c48<>6, r1c4<>7
Grouped Discontinuous Nice Loop: 2 r7c3 -2- r78c1 =2= r1c1 -2- r1c4 -5- r9c4 =5= r9c3 =3= r7c3 => r7c3<>2
Grouped Discontinuous Nice Loop: 2 r9c3 -2- r78c1 =2= r1c1 -2- r1c4 -5- r9c4 =5= r9c3 => r9c3<>2
Grouped Discontinuous Nice Loop: 5 r1c1 -5- r1c4 -2- r9c4 =2= r9c79 -2- r78c8 =2= r13c8 -2- r2c7 -6- r2c1 =6= r1c1 => r1c1<>5
Discontinuous Nice Loop: 2 r1c1 -2- r1c4 -5- r9c4 =5= r9c3 -5- r8c1 =5= r4c1 -5- r6c2 =5= r6c9 =2= r6c7 -2- r2c7 -6- r2c1 =6= r1c1 => r1c1<>2
Naked Single: r1c1=6
Naked Single: r1c6=7
Naked Single: r2c1=7
Hidden Single: r6c4=7
Locked Candidates Type 1 (Pointing): 6 in b2 => r3c789<>6
Locked Candidates Type 2 (Claiming): 2 in c1 => r78c2<>2
Naked Triple: 1,4,5 in r678c2 => r23c2<>5
Locked Candidates Type 1 (Pointing): 5 in b1 => r9c3<>5
Hidden Single: r9c4=5
Naked Single: r1c4=2
Locked Candidates Type 2 (Claiming): 2 in r9 => r7c89,r8c789<>2
Hidden Single: r3c8=2
Naked Single: r2c7=6
Naked Single: r2c9=5
Naked Single: r1c8=9
Full House: r1c3=5
Naked Single: r2c5=8
Full House: r2c2=2
Naked Single: r6c9=2
Naked Single: r3c7=1
Full House: r3c9=7
Naked Single: r3c3=9
Full House: r3c2=8
Naked Single: r4c5=3
Naked Single: r5c2=9
Full House: r5c3=2
Naked Single: r6c7=8
Naked Single: r9c9=1
Naked Single: r3c5=5
Naked Single: r4c7=9
Naked Single: r6c6=1
Full House: r4c4=8
Full House: r6c2=5
Full House: r4c1=1
Naked Single: r9c6=3
Naked Single: r4c9=6
Full House: r4c8=5
Naked Single: r8c7=3
Full House: r9c7=2
Full House: r9c3=7
Full House: r7c3=3
Naked Single: r7c1=2
Full House: r8c1=5
Naked Single: r3c6=6
Full House: r3c4=3
Naked Single: r7c5=7
Full House: r8c5=2
Naked Single: r8c6=9
Full House: r7c6=8
Naked Single: r7c8=6
Full House: r8c8=7
Naked Single: r8c9=4
Full House: r7c9=9
Naked Single: r7c4=1
Full House: r7c2=4
Full House: r8c2=1
Full House: r8c4=6
|
normal_sudoku_2919 | ..61...7.2...6.4...8....9.6...3..6.7..35.6..4.6..1753.6...8...5..47.1.6...865..4. | 946135872217968453385274916159342687873596124462817539621483795594721368738659241 | normal_sudoku_2919 | 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 1 . . . 7 .
2 . . . 6 . 4 . .
. 8 . . . . 9 . 6
. . . 3 . . 6 . 7
. . 3 5 . 6 . . 4
. 6 . . 1 7 5 3 .
6 . . . 8 . . . 5
. . 4 7 . 1 . 6 .
. . 8 6 5 . . 4 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 946135872217968453385274916159342687873596124462817539621483795594721368738659241 #1 Extreme (6016)
Hidden Single: r3c5=7
X-Wing: 4 c25 r14 => r1c16,r4c16<>4
2-String Kite: 3 in r3c1,r8c5 (connected by r1c5,r3c6) => r8c1<>3
Empty Rectangle: 3 in b3 (r18c5) => r8c9<>3
Hidden Rectangle: 2/4 in r3c46,r7c46 => r7c6<>2
Sashimi X-Wing: 8 c48 r26 fr4c8 fr5c8 => r6c9<>8
Naked Pair: 2,9 in r6c39 => r6c14<>9, r6c4<>2
Empty Rectangle: 9 in b9 (r6c39) => r7c3<>9
Discontinuous Nice Loop: 9 r1c5 -9- r2c4 -8- r6c4 -4- r4c5 =4= r1c5 => r1c5<>9
Grouped Discontinuous Nice Loop: 9 r2c3 -9- r2c4 =9= r7c4 -9- r7c8 =9= r45c8 -9- r6c9 =9= r6c3 -9- r2c3 => r2c3<>9
Locked Candidates Type 2 (Claiming): 9 in c3 => r4c12,r5c12<>9
Grouped Discontinuous Nice Loop: 2 r4c8 -2- r6c9 -9- r5c8 =9= r5c5 =2= r4c56 -2- r4c8 => r4c8<>2
Sashimi Swordfish: 2 c348 r357 fr4c3 fr6c3 => r5c2<>2
Sue de Coq: r5c78 - {1289} (r5c12 - {178}, r6c9 - {29}) => r4c8<>9
Discontinuous Nice Loop: 2 r4c5 -2- r5c5 -9- r5c8 =9= r7c8 -9- r7c4 =9= r2c4 =8= r6c4 =4= r4c5 => r4c5<>2
Grouped Discontinuous Nice Loop: 3 r1c2 -3- r1c79 =3= r2c9 =1= r23c8 -1- r4c8 -8- r4c6 =8= r6c4 =4= r6c1 -4- r3c1 =4= r1c2 => r1c2<>3
Grouped Discontinuous Nice Loop: 1 r2c3 -1- r2c9 =1= r9c9 -1- r79c7 =1= r5c7 -1- r5c2 -7- r2c2 =7= r2c3 => r2c3<>1
Almost Locked Set XZ-Rule: A=r1c579 {2348}, B=r3c3468 {12345}, X=4, Z=3 => r1c6<>3
Almost Locked Set XZ-Rule: A=r1c579 {2348}, B=r3c4 {24}, X=4, Z=2 => r1c6<>2
Almost Locked Set XZ-Rule: A=r1c579 {2348}, B=r4c56,r5c5 {2489}, X=4, Z=8 => r1c6<>8
Locked Candidates Type 1 (Pointing): 8 in b2 => r2c89<>8
Locked Candidates Type 2 (Claiming): 8 in c8 => r5c7<>8
XY-Chain: 8 8- r4c8 -1- r5c7 -2- r5c5 -9- r4c5 -4- r6c4 -8 => r4c6<>8
Hidden Single: r2c6=8
Naked Single: r2c4=9
Naked Single: r1c6=5
Hidden Single: r6c4=8
Naked Single: r6c1=4
Hidden Single: r4c5=4
Hidden Single: r1c2=4
Hidden Single: r1c1=9
Naked Single: r8c1=5
Naked Pair: 1,8 in r4c18 => r4c23<>1
Skyscraper: 9 in r7c8,r8c5 (connected by r5c58) => r7c6,r8c9<>9
Swordfish: 9 r578 c258 => r9c2<>9
2-String Kite: 3 in r2c9,r9c1 (connected by r2c2,r3c1) => r9c9<>3
Locked Candidates Type 1 (Pointing): 3 in b9 => r1c7<>3
Uniqueness Test 2: 2/4 in r3c46,r7c46 => r9c6<>3
Naked Pair: 2,9 in r49c6 => r3c6<>2
Skyscraper: 3 in r7c6,r9c1 (connected by r3c16) => r7c2<>3
Uniqueness Test 4: 1/8 in r4c18,r5c18 => r5c18<>1
Uniqueness Test 6: 2/8 in r1c79,r8c79 => r1c9,r8c7<>8
Hidden Single: r1c7=8
Hidden Single: r8c9=8
Empty Rectangle: 2 in b6 (r1c59) => r5c5<>2
Naked Single: r5c5=9
Full House: r4c6=2
Naked Single: r4c2=5
Naked Single: r9c6=9
Naked Single: r4c3=9
Naked Single: r6c3=2
Full House: r6c9=9
Hidden Single: r7c8=9
Hidden Single: r8c2=9
Locked Candidates Type 1 (Pointing): 3 in b7 => r9c7<>3
Remote Pair: 2/3 r1c9 -3- r1c5 -2- r8c5 -3- r8c7 => r9c9<>2
Naked Single: r9c9=1
Naked Single: r2c9=3
Full House: r1c9=2
Full House: r1c5=3
Full House: r8c5=2
Full House: r8c7=3
Naked Single: r3c6=4
Full House: r3c4=2
Full House: r7c4=4
Full House: r7c6=3
Hidden Single: r5c7=1
Naked Single: r4c8=8
Full House: r4c1=1
Full House: r5c8=2
Naked Single: r5c2=7
Full House: r5c1=8
Naked Single: r3c1=3
Full House: r9c1=7
Naked Single: r2c2=1
Naked Single: r7c3=1
Naked Single: r9c7=2
Full House: r7c7=7
Full House: r7c2=2
Full House: r9c2=3
Naked Single: r2c8=5
Full House: r2c3=7
Full House: r3c3=5
Full House: r3c8=1
|
normal_sudoku_6616 | 9537..481....4.362246138597........54...8.976.3........1.87.6.98....4723...29.... | 953762481187945362246138597691427835425381976738659214512873649869514723374296158 | normal_sudoku_6616 | 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 3 7 . . 4 8 1
. . . . 4 . 3 6 2
2 4 6 1 3 8 5 9 7
. . . . . . . . 5
4 . . . 8 . 9 7 6
. 3 . . . . . . .
. 1 . 8 7 . 6 . 9
8 . . . . 4 7 2 3
. . . 2 9 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 953762481187945362246138597691427835425381976738659214512873649869514723374296158 #1 Easy (228)
Naked Single: r5c2=2
Hidden Single: r4c8=3
Hidden Single: r8c5=1
Hidden Single: r7c3=2
Hidden Single: r5c4=3
Hidden Single: r4c4=4
Hidden Single: r6c5=5
Naked Single: r5c6=1
Full House: r5c3=5
Naked Single: r8c3=9
Naked Single: r8c2=6
Full House: r8c4=5
Naked Single: r9c2=7
Naked Single: r2c4=9
Full House: r6c4=6
Naked Single: r7c6=3
Full House: r9c6=6
Naked Single: r2c2=8
Full House: r4c2=9
Naked Single: r9c3=4
Naked Single: r2c6=5
Naked Single: r4c5=2
Full House: r1c5=6
Full House: r1c6=2
Naked Single: r7c1=5
Full House: r7c8=4
Full House: r9c1=3
Naked Single: r9c9=8
Full House: r6c9=4
Naked Single: r4c6=7
Full House: r6c6=9
Naked Single: r6c8=1
Full House: r9c8=5
Full House: r9c7=1
Naked Single: r4c7=8
Full House: r6c7=2
Naked Single: r6c1=7
Full House: r6c3=8
Naked Single: r4c3=1
Full House: r2c3=7
Full House: r2c1=1
Full House: r4c1=6
|
normal_sudoku_2185 | ..73...2.5.4.6....1....5..82.9.34....4..27.9.7..9..2.48.....14.4.....6....24...7. | 987341526534862719126795438259134867648527391713986254895673142471259683362418975 | normal_sudoku_2185 | 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 3 . . . 2 .
5 . 4 . 6 . . . .
1 . . . . 5 . . 8
2 . 9 . 3 4 . . .
. 4 . . 2 7 . 9 .
7 . . 9 . . 2 . 4
8 . . . . . 1 4 .
4 . . . . . 6 . .
. . 2 4 . . . 7 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 987341526534862719126795438259134867648527391713986254895673142471259683362418975 #1 Extreme (6614)
Locked Candidates Type 1 (Pointing): 8 in b1 => r46c2<>8
Naked Pair: 3,6 in r3c38 => r3c27<>3, r3c2<>6
Empty Rectangle: 3 in b6 (r3c38) => r5c3<>3
Empty Rectangle: 9 in b9 (r19c1) => r1c9<>9
Grouped AIC: 3 3- r3c3 =3= r3c8 -3- r6c8 =3= r5c79 -3- r5c1 =3= r9c1 -3 => r78c3<>3
Almost Locked Set XZ-Rule: A=r789c9 {2359}, B=r1c9,r23c8 {1356}, X=5, Z=3 => r2c9,r8c8<>3
Empty Rectangle: 3 in b9 (r59c1) => r5c9<>3
Locked Candidates Type 2 (Claiming): 3 in c9 => r9c7<>3
Almost Locked Set XZ-Rule: A=r78c3,r9c12 {13569}, B=r8c8,r9c79 {3589}, X=3,9 => r9c56<>9, r9c6<>3, r8c2<>1, r7c29,r8c29<>5, r7c2<>6
Forcing Chain Contradiction in r2c9 => r2c4<>7
r2c4=7 r3c4<>7 r3c4=2 r3c2<>2 r3c2=9 r1c1<>9 r1c1=6 r5c1<>6 r5c1=3 r5c7<>3 r2c7=3 r2c8<>3 r2c8=1 r2c9<>1
r2c4=7 r2c9<>7
r2c4=7 r3c4<>7 r3c4=2 r3c2<>2 r3c2=9 r1c1<>9 r9c1=9 r9c7<>9 r123c7=9 r2c9<>9
Locked Candidates Type 1 (Pointing): 7 in b2 => r3c7<>7
Hidden Rectangle: 4/9 in r1c57,r3c57 => r1c5<>9
Forcing Chain Contradiction in c9 => r2c9<>1
r2c9=1 r2c8<>1 r2c8=3 r3c8<>3 r3c8=6 r1c9<>6
r2c9=1 r2c9<>7 r4c9=7 r4c9<>6
r2c9=1 r2c9<>7 r2c7=7 r2c7<>3 r5c7=3 r5c1<>3 r5c1=6 r5c9<>6
Grouped Discontinuous Nice Loop: 5 r4c7 =7= r4c9 -7- r2c9 -9- r123c7 =9= r9c7 =8= r8c8 =5= r46c8 -5- r4c7 => r4c7<>5
Forcing Chain Contradiction in r5 => r8c4<>5
r8c4=5 r7c45<>5 r7c3=5 r5c3<>5
r8c4=5 r5c4<>5
r8c4=5 r8c8<>5 r46c8=5 r5c7<>5
r8c4=5 r8c8<>5 r46c8=5 r5c9<>5
Forcing Net Contradiction in r5 => r2c8=1
r2c8<>1 r2c8=3 (r3c8<>3 r3c8=6 r6c8<>6) (r3c8<>3 r3c8=6 r3c3<>6) r2c7<>3 r5c7=3 r5c1<>3 r5c1=6 (r6c3<>6) (r9c1<>6) (r5c3<>6) r6c3<>6 r7c3=6 r9c2<>6 r9c6=6 r6c6<>6 r6c2=6 r5c1<>6 r5c1=3
r2c8<>1 r2c8=3 r2c7<>3 r5c7=3
X-Wing: 3 c38 r36 => r6c2<>3
Finned Swordfish: 1 r169 c256 fr6c3 => r4c2<>1
Discontinuous Nice Loop: 5 r4c9 -5- r4c2 -6- r5c1 -3- r5c7 =3= r2c7 -3- r3c8 -6- r1c9 -5- r4c9 => r4c9<>5
Sashimi Swordfish: 5 c279 r159 fr4c2 fr6c2 => r5c3<>5
Forcing Chain Contradiction in r7c4 => r5c3<>1
r5c3=1 r5c3<>8 r6c3=8 r6c56<>8 r45c4=8 r2c4<>8 r2c4=2 r7c4<>2
r5c3=1 r8c3<>1 r8c3=5 r8c8<>5 r46c8=5 r5c79<>5 r5c4=5 r7c4<>5
r5c3=1 r8c3<>1 r8c3=5 r7c3<>5 r7c3=6 r7c4<>6
r5c3=1 r5c3<>8 r6c3=8 r6c56<>8 r45c4=8 r2c4<>8 r2c4=2 r3c4<>2 r3c4=7 r7c4<>7
Locked Candidates Type 1 (Pointing): 1 in b4 => r6c56<>1
Locked Candidates Type 1 (Pointing): 1 in b5 => r8c4<>1
Naked Triple: 2,7,8 in r238c4 => r45c4<>8, r7c4<>2, r7c4<>7
Locked Candidates Type 1 (Pointing): 8 in b5 => r6c38<>8
Hidden Single: r5c3=8
Naked Pair: 5,6 in r7c34 => r7c5<>5, r7c6<>6
2-String Kite: 6 in r6c6,r7c3 (connected by r7c4,r9c6) => r6c3<>6
Empty Rectangle: 5 in b5 (r7c34) => r6c3<>5
Locked Candidates Type 1 (Pointing): 5 in b4 => r9c2<>5
XY-Wing: 3/6/5 in r4c2,r5c17 => r4c8<>5
Finned Swordfish: 5 r159 c479 fr9c5 => r7c4<>5
Naked Single: r7c4=6
Naked Single: r7c3=5
Naked Single: r8c3=1
Naked Single: r6c3=3
Full House: r3c3=6
Naked Single: r5c1=6
Naked Single: r1c1=9
Full House: r9c1=3
Naked Single: r3c8=3
Naked Single: r4c2=5
Full House: r6c2=1
Naked Single: r1c2=8
Naked Single: r3c2=2
Full House: r2c2=3
Naked Single: r4c4=1
Naked Single: r1c6=1
Naked Single: r3c4=7
Naked Single: r5c4=5
Naked Single: r1c5=4
Naked Single: r9c6=8
Naked Single: r5c7=3
Full House: r5c9=1
Naked Single: r6c5=8
Full House: r6c6=6
Full House: r6c8=5
Naked Single: r1c7=5
Full House: r1c9=6
Naked Single: r3c5=9
Full House: r3c7=4
Naked Single: r8c4=2
Full House: r2c4=8
Full House: r2c6=2
Naked Single: r8c8=8
Full House: r4c8=6
Naked Single: r9c7=9
Naked Single: r4c9=7
Full House: r4c7=8
Full House: r2c7=7
Full House: r2c9=9
Naked Single: r7c5=7
Naked Single: r8c9=3
Naked Single: r9c2=6
Naked Single: r9c9=5
Full House: r7c9=2
Full House: r9c5=1
Full House: r8c5=5
Naked Single: r7c2=9
Full House: r7c6=3
Full House: r8c6=9
Full House: r8c2=7
|
normal_sudoku_2647 | 142.5...9398.6..5.576...1..289.74...6132..4..457.36...9.......7725.436818....5.4. | 142357869398461752576892134289574316613289475457136298934618527725943681861725943 | normal_sudoku_2647 | 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 4 2 . 5 . . . 9
3 9 8 . 6 . . 5 .
5 7 6 . . . 1 . .
2 8 9 . 7 4 . . .
6 1 3 2 . . 4 . .
4 5 7 . 3 6 . . .
9 . . . . . . . 7
7 2 5 . 4 3 6 8 1
8 . . . . 5 . 4 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 142357869398461752576892134289574316613289475457136298934618527725943681861725943 #1 Easy (186)
Full House: r8c4=9
Naked Single: r9c3=1
Full House: r7c3=4
Naked Single: r9c5=2
Naked Single: r9c9=3
Naked Single: r7c8=2
Naked Single: r9c2=6
Full House: r7c2=3
Naked Single: r9c7=9
Full House: r7c7=5
Full House: r9c4=7
Naked Single: r3c8=3
Naked Single: r4c7=3
Hidden Single: r5c8=7
Naked Single: r1c8=6
Naked Single: r4c8=1
Full House: r6c8=9
Naked Single: r4c4=5
Full House: r4c9=6
Hidden Single: r5c9=5
Hidden Single: r7c5=1
Naked Single: r7c6=8
Full House: r7c4=6
Naked Single: r1c6=7
Naked Single: r5c6=9
Full House: r5c5=8
Full House: r3c5=9
Full House: r6c4=1
Naked Single: r1c7=8
Full House: r1c4=3
Naked Single: r3c6=2
Full House: r2c6=1
Naked Single: r2c4=4
Full House: r3c4=8
Full House: r3c9=4
Naked Single: r6c7=2
Full House: r2c7=7
Full House: r2c9=2
Full House: r6c9=8
|
normal_sudoku_688 | 8..6..4.2.26.84.7...4.2.685....16..717.45236.6..8...2..3.76..9..61.9....9...43..6 | 893675412526184973714329685352916847178452369649837521435761298261598734987243156 | normal_sudoku_688 | 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 . . 4 . 2
. 2 6 . 8 4 . 7 .
. . 4 . 2 . 6 8 5
. . . . 1 6 . . 7
1 7 . 4 5 2 3 6 .
6 . . 8 . . . 2 .
. 3 . 7 6 . . 9 .
. 6 1 . 9 . . . .
9 . . . 4 3 . . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 893675412526184973714329685352916847178452369649837521435761298261598734987243156 #1 Unfair (692)
Locked Candidates Type 1 (Pointing): 9 in b3 => r2c4<>9
Locked Candidates Type 1 (Pointing): 4 in b7 => r4c1<>4
Turbot Fish: 1 r1c8 =1= r9c8 -1- r9c4 =1= r7c6 => r1c6<>1
Finned Swordfish: 1 r267 c479 fr7c6 => r9c4<>1
Hidden Single: r7c6=1
Hidden Single: r8c6=8
Hidden Single: r1c6=5
Hidden Single: r2c1=5
Locked Pair: 1,9 in r13c2 => r1c3,r46c2<>9
Hidden Single: r1c2=9
Naked Single: r3c2=1
Hidden Single: r1c8=1
Naked Single: r2c7=9
Full House: r2c9=3
Full House: r2c4=1
Naked Single: r9c8=5
Naked Single: r8c9=4
Naked Single: r4c8=4
Full House: r8c8=3
Naked Single: r9c2=8
Naked Single: r9c4=2
Full House: r8c4=5
Naked Single: r7c9=8
Naked Single: r4c2=5
Full House: r6c2=4
Naked Single: r9c3=7
Full House: r9c7=1
Naked Single: r5c9=9
Full House: r5c3=8
Full House: r6c9=1
Naked Single: r7c7=2
Full House: r8c7=7
Full House: r8c1=2
Naked Single: r4c7=8
Full House: r6c7=5
Naked Single: r1c3=3
Full House: r1c5=7
Full House: r3c1=7
Full House: r6c5=3
Naked Single: r7c1=4
Full House: r7c3=5
Full House: r4c1=3
Naked Single: r6c3=9
Full House: r4c3=2
Full House: r4c4=9
Full House: r6c6=7
Full House: r3c6=9
Full House: r3c4=3
|
normal_sudoku_4466 | .32.849.558.9.3......25.83.4968.5....2539..8.3.86425......2....2.....1.......972. | 632184975587963241941257836496875312725391684318642597153728469279436158864519723 | normal_sudoku_4466 | 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 . 8 4 9 . 5
5 8 . 9 . 3 . . .
. . . 2 5 . 8 3 .
4 9 6 8 . 5 . . .
. 2 5 3 9 . . 8 .
3 . 8 6 4 2 5 . .
. . . . 2 . . . .
2 . . . . . 1 . .
. . . . . 9 7 2 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 632184975587963241941257836496875312725391684318642597153728469279436158864519723 #1 Extreme (2866)
Naked Pair: 1,7 in r4c58 => r4c9<>1, r4c9<>7
Naked Pair: 1,7 in r5c16 => r5c9<>1, r5c9<>7
Forcing Chain Contradiction in r3c6 => r1c1<>1
r1c1=1 r5c1<>1 r5c6=1 r3c6<>1
r1c1=1 r1c1<>6 r3c12=6 r3c6<>6
r1c1=1 r1c4<>1 r1c4=7 r3c6<>7
Skyscraper: 1 in r1c4,r4c5 (connected by r14c8) => r2c5<>1
2-String Kite: 1 in r5c1,r9c5 (connected by r4c5,r5c6) => r9c1<>1
Grouped Discontinuous Nice Loop: 7 r7c6 -7- r5c6 -1- r3c6 =1= r1c4 =7= r78c4 -7- r7c6 => r7c6<>7
Grouped Discontinuous Nice Loop: 7 r8c6 -7- r5c6 -1- r3c6 =1= r1c4 =7= r78c4 -7- r8c6 => r8c6<>7
Turbot Fish: 7 r3c6 =7= r5c6 -7- r5c1 =7= r6c2 => r3c2<>7
Almost Locked Set XY-Wing: A=r6c2 {17}, B=r14c8 {167}, C=r15c1 {167}, X,Y=1,6, Z=7 => r6c8<>7
Forcing Chain Contradiction in r3c6 => r1c1=6
r1c1<>6 r1c1=7 r1c4<>7 r1c4=1 r3c6<>1
r1c1<>6 r3c12=6 r3c6<>6
r1c1<>6 r1c1=7 r5c1<>7 r5c6=7 r3c6<>7
Naked Single: r9c1=8
Naked Pair: 1,7 in r14c8 => r26c8<>1, r2c8<>7
Naked Single: r6c8=9
Hidden Pair: 8,9 in r78c9 => r78c9<>3, r78c9<>4, r78c9<>6
Remote Pair: 7/1 r1c4 -1- r1c8 -7- r4c8 -1- r4c5 => r2c5<>7
Naked Single: r2c5=6
Naked Single: r2c8=4
Naked Single: r2c7=2
Naked Single: r4c7=3
Naked Single: r4c9=2
Hidden Single: r3c9=6
Naked Single: r5c9=4
Naked Single: r5c7=6
Full House: r7c7=4
Naked Single: r9c9=3
Naked Single: r9c5=1
Naked Single: r4c5=7
Full House: r4c8=1
Full House: r5c6=1
Full House: r8c5=3
Full House: r6c9=7
Full House: r5c1=7
Full House: r6c2=1
Naked Single: r9c3=4
Naked Single: r1c8=7
Full House: r2c9=1
Full House: r1c4=1
Full House: r3c6=7
Full House: r2c3=7
Naked Single: r3c2=4
Naked Single: r9c4=5
Full House: r9c2=6
Naked Single: r8c3=9
Naked Single: r7c4=7
Full House: r8c4=4
Naked Single: r3c3=1
Full House: r3c1=9
Full House: r7c1=1
Full House: r7c3=3
Naked Single: r8c9=8
Full House: r7c9=9
Naked Single: r7c2=5
Full House: r8c2=7
Naked Single: r8c6=6
Full House: r7c6=8
Full House: r7c8=6
Full House: r8c8=5
|
normal_sudoku_1876 | ..8.2...32..1...9......65..1...9..7.382647951..7..1..4.2....4.57.5..2.6..3....... | 568924713243175698971386542154893276382647951697251384826719435715432869439568127 | normal_sudoku_1876 | 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
2 . . 1 . . . 9 .
. . . . . 6 5 . .
1 . . . 9 . . 7 .
3 8 2 6 4 7 9 5 1
. . 7 . . 1 . . 4
. 2 . . . . 4 . 5
7 . 5 . . 2 . 6 .
. 3 . . . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 568924713243175698971386542154893276382647951697251384826719435715432869439568127 #1 Extreme (5366)
Locked Candidates Type 1 (Pointing): 7 in b9 => r9c45<>7
Finned Swordfish: 4 r248 c234 fr2c6 => r13c4<>4
Locked Candidates Type 1 (Pointing): 4 in b2 => r9c6<>4
Almost Locked Set XZ-Rule: A=r2c23579 {345678}, B=r3c12345 {134789}, X=4, Z=8 => r2c6<>8
Forcing Chain Contradiction in r1c6 => r1c2<>9
r1c2=9 r3c1<>9 r3c1=4 r3c8<>4 r1c8=4 r1c6<>4
r1c2=9 r6c2<>9 r6c1=9 r6c1<>5 r1c1=5 r1c6<>5
r1c2=9 r1c6<>9
Forcing Chain Contradiction in r8c2 => r2c3<>4
r2c3=4 r2c3<>3 r3c3=3 r3c3<>1 r13c2=1 r8c2<>1
r2c3=4 r4c3<>4 r4c2=4 r8c2<>4
r2c3=4 r2c3<>3 r3c3=3 r3c3<>9 r79c3=9 r8c2<>9
Forcing Chain Contradiction in r8c2 => r2c6<>3
r2c6=3 r2c3<>3 r3c3=3 r3c3<>1 r13c2=1 r8c2<>1
r2c6=3 r2c6<>4 r2c2=4 r8c2<>4
r2c6=3 r2c3<>3 r3c3=3 r3c3<>9 r79c3=9 r8c2<>9
Skyscraper: 3 in r4c6,r6c8 (connected by r7c68) => r4c7,r6c45<>3
Grouped Discontinuous Nice Loop: 9 r1c1 -9- r1c46 =9= r3c4 =8= r23c5 -8- r6c5 -5- r6c1 =5= r1c1 => r1c1<>9
Locked Candidates Type 1 (Pointing): 9 in b1 => r3c4<>9
Forcing Chain Contradiction in c8 => r1c1=5
r1c1<>5 r6c1=5 r6c5<>5 r6c5=8 r2c5<>8 r2c79=8 r3c8<>8
r1c1<>5 r6c1=5 r6c5<>5 r6c5=8 r6c8<>8
r1c1<>5 r6c1=5 r6c5<>5 r6c5=8 r4c6<>8 r79c6=8 r8c45<>8 r8c79=8 r7c8<>8
r1c1<>5 r6c1=5 r6c5<>5 r6c5=8 r4c6<>8 r79c6=8 r8c45<>8 r8c79=8 r9c8<>8
2-String Kite: 6 in r1c2,r4c9 (connected by r1c7,r2c9) => r4c2<>6
XY-Wing: 6/9/4 in r36c1,r4c3 => r3c3<>4
Discontinuous Nice Loop: 8 r7c5 -8- r7c1 =8= r9c1 =4= r3c1 -4- r2c2 =4= r2c6 =5= r2c5 -5- r6c5 -8- r7c5 => r7c5<>8
Discontinuous Nice Loop: 6 r9c1 -6- r9c5 =6= r7c5 =7= r7c4 -7- r1c4 -9- r1c6 -4- r1c8 =4= r3c8 -4- r3c1 =4= r9c1 => r9c1<>6
Grouped Discontinuous Nice Loop: 3 r2c5 =5= r2c6 =4= r2c2 -4- r3c1 -9- r6c1 -6- r6c2 =6= r12c2 -6- r2c3 -3- r2c5 => r2c5<>3
Hidden Single: r2c3=3
Locked Candidates Type 1 (Pointing): 6 in b1 => r6c2<>6
Discontinuous Nice Loop: 7 r1c2 -7- r1c4 -9- r1c6 -4- r2c6 =4= r2c2 =6= r1c2 => r1c2<>7
AIC: 7 7- r1c4 -9- r1c6 -4- r2c6 =4= r2c2 =7= r3c2 -7 => r3c45<>7
Locked Pair: 3,8 in r3c45 => r2c5,r3c89<>8
Finned Swordfish: 8 c168 r479 fr6c8 => r4c79<>8
Locked Pair: 2,6 in r4c79 => r4c3,r6c7<>6, r4c4,r6c78<>2
Naked Single: r4c3=4
Naked Single: r4c2=5
Naked Single: r6c2=9
Full House: r6c1=6
Hidden Single: r6c4=2
Hidden Single: r6c5=5
Naked Single: r2c5=7
Naked Single: r1c4=9
Naked Single: r1c6=4
Naked Single: r1c8=1
Naked Single: r2c6=5
Naked Single: r1c2=6
Full House: r1c7=7
Naked Single: r2c2=4
Naked Single: r3c9=2
Naked Single: r3c1=9
Naked Single: r8c2=1
Full House: r3c2=7
Full House: r3c3=1
Naked Single: r3c8=4
Naked Single: r4c9=6
Naked Single: r7c1=8
Full House: r9c1=4
Naked Single: r2c9=8
Full House: r2c7=6
Naked Single: r4c7=2
Naked Single: r7c8=3
Naked Single: r8c9=9
Full House: r9c9=7
Naked Single: r6c8=8
Full House: r6c7=3
Full House: r9c8=2
Naked Single: r7c4=7
Naked Single: r7c6=9
Naked Single: r8c7=8
Full House: r9c7=1
Naked Single: r7c3=6
Full House: r7c5=1
Full House: r9c3=9
Naked Single: r9c6=8
Full House: r4c6=3
Full House: r4c4=8
Naked Single: r8c5=3
Full House: r8c4=4
Naked Single: r9c4=5
Full House: r9c5=6
Full House: r3c4=3
Full House: r3c5=8
|
normal_sudoku_1594 | ...48..9....97384..9...2.3..1.3...7.7.9...3866..7...5.9.....7232..637.1.375219468 | 537481692126973845498562137812356974759124386643798251961845723284637519375219468 | normal_sudoku_1594 | 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 . . 9 .
. . . 9 7 3 8 4 .
. 9 . . . 2 . 3 .
. 1 . 3 . . . 7 .
7 . 9 . . . 3 8 6
6 . . 7 . . . 5 .
9 . . . . . 7 2 3
2 . . 6 3 7 . 1 .
3 7 5 2 1 9 4 6 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 537481692126973845498562137812356974759124386643798251961845723284637519375219468 #1 Medium (254)
Hidden Single: r7c3=1
Hidden Single: r7c4=8
Hidden Single: r7c2=6
Hidden Single: r2c3=6
Locked Pair: 1,5 in r12c1 => r3c1<>1, r12c2,r34c1<>5
Naked Single: r2c2=2
Naked Single: r1c2=3
Naked Single: r1c3=7
Hidden Single: r5c2=5
Naked Single: r5c4=1
Full House: r3c4=5
Naked Single: r5c6=4
Full House: r5c5=2
Naked Single: r3c5=6
Full House: r1c6=1
Naked Single: r6c6=8
Naked Single: r7c6=5
Full House: r4c6=6
Full House: r7c5=4
Naked Single: r6c5=9
Full House: r4c5=5
Naked Single: r3c7=1
Naked Single: r1c1=5
Naked Single: r6c2=4
Full House: r8c2=8
Full House: r8c3=4
Naked Single: r2c9=5
Full House: r2c1=1
Naked Single: r3c9=7
Naked Single: r6c7=2
Naked Single: r1c9=2
Full House: r1c7=6
Naked Single: r4c1=8
Full House: r3c1=4
Full House: r3c3=8
Naked Single: r8c9=9
Full House: r8c7=5
Full House: r4c7=9
Naked Single: r6c3=3
Full House: r6c9=1
Full House: r4c3=2
Full House: r4c9=4
|
normal_sudoku_3011 | 2..6..98.9.43......6...9..4.41..67.96.79..851.9...1.46.5.16.4..4....5.....649...5 | 275614983984357162163829574341586729627943851598271346859162437412735698736498215 | normal_sudoku_3011 | 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 . . 9 8 .
9 . 4 3 . . . . .
. 6 . . . 9 . . 4
. 4 1 . . 6 7 . 9
6 . 7 9 . . 8 5 1
. 9 . . . 1 . 4 6
. 5 . 1 6 . 4 . .
4 . . . . 5 . . .
. . 6 4 9 . . . 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 275614983984357162163829574341586729627943851598271346859162437412735698736498215 #1 Extreme (5814)
Grouped Discontinuous Nice Loop: 3 r6c5 -3- r6c7 -2- r6c3 =2= r5c2 =3= r5c56 -3- r6c5 => r6c5<>3
Forcing Net Contradiction in r9 => r2c7<>2
r2c7=2 (r2c7<>1) (r2c7<>5 r2c5=5 r2c5<>1) r2c7<>6 r2c8=6 r2c8<>1 r2c2=1 r3c1<>1 r9c1=1
r2c7=2 (r9c7<>2) r6c7<>2 r6c7=3 r9c7<>3 r9c7=1
Forcing Net Contradiction in c5 => r2c8<>2
r2c8=2 (r2c6<>2) r2c9<>2 r2c9=7 (r2c2<>7) r2c6<>7 r2c6=8 r2c2<>8 r2c2=1 r1c2<>1 r1c5=1 r1c5<>4
r2c8=2 (r2c9<>2 r2c9=7 r1c9<>7 r1c9=3 r7c9<>3) (r2c9<>2 r2c9=7 r1c9<>7 r1c9=3 r1c2<>3) (r3c8<>2) (r2c9<>2 r2c9=7 r3c8<>7) r4c8<>2 r4c8=3 (r7c8<>3) r3c8<>3 r3c8=1 r3c1<>1 r9c1=1 r9c7<>1 r9c7=3 (r9c2<>3) r6c7<>3 r6c7=2 (r9c7<>2) r6c3<>2 r5c2=2 (r5c2<>3) r5c2<>3 r8c2=3 (r7c1<>3) r7c3<>3 r7c6=3 r5c6<>3 r5c5=3 r5c5<>4
Forcing Net Verity => r2c6<>2
r3c8=1 (r2c8<>1) (r8c8<>1) r3c1<>1 r9c1=1 r8c2<>1 r8c7=1 r8c7<>6 r8c8=6 r2c8<>6 r2c8=7 r2c9<>7 r2c9=2 r2c6<>2
r3c8=2 (r9c8<>2) r4c8<>2 r6c7=2 (r9c7<>2) r6c3<>2 r5c2=2 r9c2<>2 r9c6=2 r2c6<>2
r3c8=3 r1c9<>3 r1c9=7 r2c9<>7 r2c9=2 r2c6<>2
r3c8=7 r2c9<>7 r2c9=2 r2c6<>2
Grouped Discontinuous Nice Loop: 2 r7c9 -2- r2c9 -7- r2c6 -8- r79c6 =8= r8c45 -8- r8c9 =8= r7c9 => r7c9<>2
Finned Franken Swordfish: 2 r47b4 c368 fr4c4 fr4c5 fr5c2 => r5c6<>2
Locked Candidates Type 2 (Claiming): 2 in c6 => r8c45<>2
Grouped Discontinuous Nice Loop: 3 r8c9 -3- r8c5 =3= r45c5 -3- r5c6 -4- r1c6 -7- r1c9 -3- r8c9 => r8c9<>3
Almost Locked Set XY-Wing: A=r8c459 {2378}, B=r369c7 {1235}, C=r2c26789 {125678}, X,Y=2,5, Z=3 => r8c7<>3
Almost Locked Set XY-Wing: A=r8c459 {2378}, B=r1589c2 {12378}, C=r2c269 {1278}, X,Y=1,2, Z=8 => r8c3<>8
Almost Locked Set XY-Wing: A=r5c26 {234}, B=r8c459 {2378}, C=r1279c6 {23478}, X,Y=3,4, Z=2 => r8c2<>2
Almost Locked Set XZ-Rule: A=r2c269 {1278}, B=r8c2459 {12378}, X=1,2 => r19c2<>1, r2c58,r8c8<>7, r2c5<>8, r8c38<>3
Hidden Single: r1c5=1
Hidden Single: r1c6=4
Naked Single: r5c6=3
Naked Single: r5c2=2
Full House: r5c5=4
Hidden Single: r1c3=5
Hidden Single: r8c5=3
Naked Pair: 3,8 in r36c3 => r7c3<>3, r7c3<>8
Skyscraper: 3 in r7c9,r9c2 (connected by r1c29) => r7c1,r9c78<>3
X-Wing: 3 c37 r36 => r3c18,r6c1<>3
Empty Rectangle: 8 in b8 (r2c26) => r8c2<>8
W-Wing: 7/8 in r2c6,r7c1 connected by 8 in r29c2 => r7c6<>7
W-Wing: 7/8 in r7c1,r8c4 connected by 8 in r78c9 => r8c2<>7
Naked Single: r8c2=1
Hidden Single: r3c1=1
Locked Candidates Type 1 (Pointing): 7 in b1 => r9c2<>7
Naked Pair: 2,7 in r2c9,r3c8 => r1c9<>7, r3c7<>2
Naked Single: r1c9=3
Full House: r1c2=7
Naked Single: r3c7=5
Naked Single: r2c2=8
Full House: r3c3=3
Full House: r9c2=3
Naked Single: r2c6=7
Naked Single: r6c3=8
Naked Single: r2c9=2
Naked Single: r6c1=5
Full House: r4c1=3
Naked Single: r2c5=5
Naked Single: r3c8=7
Naked Single: r4c8=2
Full House: r6c7=3
Naked Single: r4c5=8
Full House: r4c4=5
Naked Single: r9c8=1
Naked Single: r3c5=2
Full House: r3c4=8
Full House: r6c5=7
Full House: r6c4=2
Full House: r8c4=7
Naked Single: r2c8=6
Full House: r2c7=1
Naked Single: r9c7=2
Full House: r8c7=6
Naked Single: r8c9=8
Full House: r7c9=7
Naked Single: r8c8=9
Full House: r7c8=3
Full House: r8c3=2
Full House: r7c3=9
Naked Single: r9c6=8
Full House: r7c6=2
Full House: r7c1=8
Full House: r9c1=7
|
normal_sudoku_2166 | .2..9...81..742.9.93..682.....654927..92.1....5.8.9.6..7..13582....86..9.9..271.6 | 724395618168742395935168274381654927649271853257839461476913582512486739893527146 | normal_sudoku_2166 | 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 . . . 8
1 . . 7 4 2 . 9 .
9 3 . . 6 8 2 . .
. . . 6 5 4 9 2 7
. . 9 2 . 1 . . .
. 5 . 8 . 9 . 6 .
. 7 . . 1 3 5 8 2
. . . . 8 6 . . 9
. 9 . . 2 7 1 . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 724395618168742395935168274381654927649271853257839461476913582512486739893527146 #1 Medium (354)
Full House: r1c6=5
Naked Single: r3c4=1
Full House: r1c4=3
Hidden Single: r5c7=8
Hidden Single: r7c4=9
Hidden Single: r6c9=1
Hidden Single: r1c8=1
Locked Candidates Type 1 (Pointing): 5 in b1 => r89c3<>5
Locked Candidates Type 2 (Claiming): 3 in r4 => r56c1,r6c3<>3
Locked Candidates Type 2 (Claiming): 4 in r7 => r8c123,r9c13<>4
Naked Single: r8c2=1
Naked Single: r4c2=8
Naked Single: r2c2=6
Full House: r5c2=4
Naked Single: r4c1=3
Full House: r4c3=1
Naked Single: r2c7=3
Naked Single: r2c9=5
Full House: r2c3=8
Naked Single: r6c7=4
Naked Single: r3c9=4
Full House: r5c9=3
Full House: r5c8=5
Naked Single: r9c3=3
Naked Single: r8c7=7
Full House: r1c7=6
Full House: r3c8=7
Full House: r3c3=5
Naked Single: r5c5=7
Full House: r5c1=6
Full House: r6c5=3
Naked Single: r8c3=2
Naked Single: r9c8=4
Full House: r8c8=3
Naked Single: r7c1=4
Full House: r7c3=6
Naked Single: r6c3=7
Full House: r1c3=4
Full House: r1c1=7
Full House: r6c1=2
Naked Single: r8c1=5
Full House: r8c4=4
Full House: r9c4=5
Full House: r9c1=8
|
normal_sudoku_527 | ..941....851796342..7.82..993..6.4.868..4....174.2.....16.3..2...825......367..5. | 269413785851796342347582169932165478685947213174328596516834927798251634423679851 | normal_sudoku_527 | 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 1 . . . .
8 5 1 7 9 6 3 4 2
. . 7 . 8 2 . . 9
9 3 . . 6 . 4 . 8
6 8 . . 4 . . . .
1 7 4 . 2 . . . .
. 1 6 . 3 . . 2 .
. . 8 2 5 . . . .
. . 3 6 7 . . 5 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 269413785851796342347582169932165478685947213174328596516834927798251634423679851 #1 Unfair (628)
Hidden Single: r4c3=2
Full House: r5c3=5
Hidden Single: r5c7=2
Hidden Single: r7c1=5
Hidden Single: r1c8=8
Hidden Single: r8c1=7
Locked Candidates Type 1 (Pointing): 5 in b6 => r6c46<>5
Locked Candidates Type 1 (Pointing): 1 in b8 => r45c6<>1
Locked Candidates Type 2 (Claiming): 7 in c8 => r5c9<>7
XY-Chain: 6 6- r1c2 -2- r1c1 -3- r1c6 -5- r4c6 -7- r4c8 -1- r3c8 -6 => r1c79,r3c2<>6
Naked Single: r3c2=4
Naked Single: r3c1=3
Naked Single: r8c2=9
Naked Single: r1c1=2
Full House: r1c2=6
Full House: r9c2=2
Full House: r9c1=4
Naked Single: r3c4=5
Full House: r1c6=3
Naked Single: r9c9=1
Naked Single: r4c4=1
Naked Single: r5c9=3
Naked Single: r8c7=6
Naked Single: r4c8=7
Full House: r4c6=5
Naked Single: r5c4=9
Naked Single: r3c7=1
Full House: r3c8=6
Naked Single: r8c8=3
Naked Single: r8c9=4
Full House: r8c6=1
Naked Single: r5c6=7
Full House: r5c8=1
Full House: r6c8=9
Naked Single: r6c6=8
Full House: r6c4=3
Full House: r7c4=8
Naked Single: r7c9=7
Naked Single: r6c7=5
Full House: r6c9=6
Full House: r1c9=5
Full House: r1c7=7
Naked Single: r9c6=9
Full House: r7c6=4
Full House: r7c7=9
Full House: r9c7=8
|
normal_sudoku_1879 | 8...5...9259.4..676......5.92.7..6141....237....1.492.4963..582..8.....6..2....9. | 873651249259843167641279853925738614164592378387164925496317582718925436532486791 | normal_sudoku_1879 | 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 . . . 9
2 5 9 . 4 . . 6 7
6 . . . . . . 5 .
9 2 . 7 . . 6 1 4
1 . . . . 2 3 7 .
. . . 1 . 4 9 2 .
4 9 6 3 . . 5 8 2
. . 8 . . . . . 6
. . 2 . . . . 9 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 873651249259843167641279853925738614164592378387164925496317582718925436532486791 #1 Easy (220)
Naked Single: r2c4=8
Naked Single: r2c7=1
Full House: r2c6=3
Hidden Single: r3c7=8
Naked Single: r3c9=3
Naked Single: r1c8=4
Full House: r1c7=2
Full House: r8c8=3
Naked Single: r9c9=1
Naked Single: r1c4=6
Hidden Single: r8c2=1
Hidden Single: r9c6=6
Hidden Single: r9c5=8
Naked Single: r4c5=3
Naked Single: r4c3=5
Full House: r4c6=8
Naked Single: r6c5=6
Naked Single: r5c3=4
Naked Single: r5c5=9
Full House: r5c4=5
Naked Single: r5c9=8
Full House: r5c2=6
Full House: r6c9=5
Naked Single: r9c4=4
Naked Single: r9c7=7
Full House: r8c7=4
Naked Single: r9c2=3
Full House: r9c1=5
Full House: r8c1=7
Full House: r6c1=3
Naked Single: r1c2=7
Naked Single: r8c5=2
Naked Single: r6c3=7
Full House: r6c2=8
Full House: r3c2=4
Naked Single: r1c6=1
Full House: r1c3=3
Full House: r3c3=1
Naked Single: r8c4=9
Full House: r3c4=2
Full House: r8c6=5
Naked Single: r3c5=7
Full House: r3c6=9
Full House: r7c6=7
Full House: r7c5=1
|
normal_sudoku_2011 | 3.2..918...917.62...12....5.95.3..1...4.......23.1..69546..1392937...851..8.9.746 | 372569184459178623681243975895632417164957238723814569546781392937426851218395746 | normal_sudoku_2011 | 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 . . 9 1 8 .
. . 9 1 7 . 6 2 .
. . 1 2 . . . . 5
. 9 5 . 3 . . 1 .
. . 4 . . . . . .
. 2 3 . 1 . . 6 9
5 4 6 . . 1 3 9 2
9 3 7 . . . 8 5 1
. . 8 . 9 . 7 4 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 372569184459178623681243975895632417164957238723814569546781392937426851218395746 #1 Hard (750)
Naked Single: r7c5=8
Full House: r7c4=7
Naked Single: r9c2=1
Full House: r9c1=2
Hidden Single: r3c7=9
Hidden Single: r9c4=3
Full House: r9c6=5
Hidden Single: r5c4=9
Hidden Single: r5c1=1
Hidden Single: r2c2=5
Locked Candidates Type 1 (Pointing): 8 in b2 => r456c6<>8
Locked Candidates Type 1 (Pointing): 4 in b3 => r4c9<>4
Naked Triple: 4,5,6 in r1c45,r3c5 => r23c6<>4, r3c6<>6
2-String Kite: 7 in r1c2,r5c8 (connected by r1c9,r3c8) => r5c2<>7
Locked Candidates Type 1 (Pointing): 7 in b4 => r3c1<>7
W-Wing: 7/8 in r4c9,r6c1 connected by 8 in r5c29 => r4c1<>7
Hidden Single: r6c1=7
Naked Single: r6c6=4
Naked Single: r6c7=5
Full House: r6c4=8
Naked Single: r5c7=2
Full House: r4c7=4
Naked Single: r4c4=6
Naked Single: r4c1=8
Full House: r5c2=6
Naked Single: r5c5=5
Naked Single: r5c6=7
Full House: r4c6=2
Full House: r4c9=7
Naked Single: r8c4=4
Full House: r1c4=5
Naked Single: r2c1=4
Full House: r3c1=6
Naked Single: r1c2=7
Full House: r3c2=8
Naked Single: r5c8=3
Full House: r3c8=7
Full House: r5c9=8
Naked Single: r8c6=6
Full House: r8c5=2
Naked Single: r1c9=4
Full House: r2c9=3
Full House: r1c5=6
Full House: r3c5=4
Full House: r3c6=3
Full House: r2c6=8
|
normal_sudoku_466 | .6...5..3..83...1.3..7..4..2.7.5.....8.237..6....482..5..8..7....1.7..9..7...3..1 | 462185973798324615315796482237651849984237156156948237523819764641572398879463521 | normal_sudoku_466 | 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 . . 3
. . 8 3 . . . 1 .
3 . . 7 . . 4 . .
2 . 7 . 5 . . . .
. 8 . 2 3 7 . . 6
. . . . 4 8 2 . .
5 . . 8 . . 7 . .
. . 1 . 7 . . 9 .
. 7 . . . 3 . . 1 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 462185973798324615315796482237651849984237156156948237523819764641572398879463521 #1 Extreme (11196)
Locked Candidates Type 1 (Pointing): 6 in b4 => r6c4<>6
Forcing Chain Contradiction in r6c8 => r4c2<>1
r4c2=1 r4c2<>3 r4c78=3 r6c8<>3
r4c2=1 r4c2<>4 r4c89=4 r5c8<>4 r5c8=5 r6c8<>5
r4c2=1 r3c2<>1 r1c1=1 r1c1<>7 r1c8=7 r6c8<>7
Forcing Chain Contradiction in r5c8 => r4c2<>9
r4c2=9 r4c46<>9 r6c4=9 r6c4<>1 r4c46=1 r4c7<>1 r5c7=1 r5c7<>9 r5c13=9 r4c2<>9
Forcing Net Contradiction in r8c7 => r8c7=3
r8c7<>3 (r8c2=3 r6c2<>3) r4c7=3 (r4c7<>1 r5c7=1 r5c1<>1) r6c8<>3 r6c3=3 r6c3<>6 r6c1=6 r6c1<>1 r1c1=1 (r1c1<>7 r1c8=7 r2c9<>7 r2c1=7 r2c1<>4) (r1c4<>1) r3c2<>1 r6c2=1 r6c4<>1 r6c4=9 r1c4<>9 r1c4=4 r2c6<>4 r2c2=4 r4c2<>4 r4c2=3 r8c2<>3 r8c7=3
Discontinuous Nice Loop: 2 r7c3 -2- r8c2 -4- r4c2 -3- r7c2 =3= r7c3 => r7c3<>2
Forcing Net Contradiction in b6 => r2c6<>6
r2c6=6 (r2c6<>4 r1c4=4 r1c4<>1 r6c4=1 r4c6<>1 r4c6=9 r4c9<>9) (r8c6<>6) r4c6<>6 r4c4=6 r8c4<>6 r8c1=6 r8c1<>8 r8c9=8 r4c9<>8 r4c9=4
r2c6=6 (r2c7<>6 r9c7=6 r9c7<>5) (r4c6<>6 r4c4=6 r8c4<>6) r2c6<>4 r1c4=4 r8c4<>4 r8c4=5 r9c4<>5 r9c8=5 r5c8<>5 r5c8=4
Forcing Net Contradiction in r4c2 => r2c7<>9
r2c7=9 (r1c7<>9 r1c7=8 r1c8<>8) (r1c7<>9 r1c7=8 r3c8<>8) (r2c7<>5) r2c7<>6 (r2c5=6 r3c6<>6 r3c8=6 r3c8<>5) r9c7=6 r9c7<>5 r5c7=5 (r5c8<>5) r6c8<>5 r9c8=5 r9c8<>8 r4c8=8 r4c8<>3 r4c2=3
r2c7=9 (r2c7<>5) r2c7<>6 r9c7=6 r9c7<>5 r5c7=5 r5c8<>5 r5c8=4 (r4c8<>4) r4c9<>4 r4c2=4
Forcing Net Verity => r3c2<>2
r3c2=1 r3c2<>2
r6c2=1 (r5c1<>1) r6c1<>1 r1c1=1 (r1c4<>1 r1c4=4 r2c6<>4) r1c1<>7 r1c8=7 r2c9<>7 r2c1=7 r2c1<>4 r2c2=4 r8c2<>4 r8c2=2 r3c2<>2
Forcing Net Verity => r3c2<>9
r3c2=1 r3c2<>9
r6c2=1 (r6c2<>5) (r5c1<>1) r6c1<>1 r1c1=1 (r1c4<>1 r1c4=4 r2c6<>4) r1c1<>7 r1c8=7 r2c9<>7 r2c1=7 r2c1<>4 r2c2=4 r2c2<>5 r3c2=5 r3c2<>9
Forcing Net Contradiction in c3 => r3c5<>1
r3c5=1 (r1c5<>1 r1c1=1 r6c1<>1) r3c2<>1 r6c2=1 r6c4<>1 r6c4=9 r6c1<>9 r6c1=6 r6c3<>6
r3c5=1 (r1c5<>1 r1c1=1 r1c1<>7 r1c8=7 r2c9<>7 r2c1=7 r2c1<>4) (r1c4<>1) r3c2<>1 r6c2=1 r6c4<>1 r6c4=9 r1c4<>9 r1c4=4 r2c6<>4 r2c2=4 r4c2<>4 r4c2=3 r7c2<>3 r7c3=3 r7c3<>6
r3c5=1 (r3c5<>6) (r7c5<>1 r7c6=1 r4c6<>1) r3c2<>1 r6c2=1 r6c4<>1 r6c4=9 r4c6<>9 r4c6=6 r3c6<>6 r3c8=6 r2c7<>6 r9c7=6 r9c3<>6
Forcing Net Contradiction in r3 => r5c7<>5
r5c7=5 (r2c7<>5 r2c7=6 r9c7<>6 r9c7=8 r1c7<>8) r5c7<>1 r5c1=1 (r1c1<>1) (r6c1<>1) r6c2<>1 r6c4=1 (r6c4<>9 r6c9=9 r4c9<>9 r4c9=8 r3c9<>8) r1c4<>1 r1c5=1 r1c5<>8 r1c8=8 r3c8<>8 r3c5=8 r3c5<>6
r5c7=5 (r5c7<>1 r5c1=1 r6c1<>1) (r5c3<>5) r5c8<>5 r5c8=4 r5c3<>4 r5c3=9 r6c1<>9 r6c1=6 r8c1<>6 r8c46=6 r79c5<>6 r23c5=6 r3c6<>6
r5c7=5 r2c7<>5 r2c7=6 r3c8<>6
Naked Triple: 1,8,9 in r145c7 => r9c7<>8
Sue de Coq: r4c789 - {13489} (r4c2 - {34}, r5c7 - {19}) => r6c9<>9
Forcing Chain Contradiction in c2 => r9c8<>5
r9c8=5 r9c7<>5 r2c7=5 r2c2<>5
r9c8=5 r56c8<>5 r6c9=5 r6c9<>7 r6c8=7 r1c8<>7 r1c1=7 r1c1<>1 r3c2=1 r3c2<>5
r9c8=5 r5c8<>5 r5c3=5 r6c2<>5
Forcing Net Contradiction in r7c3 => r3c2=1
r3c2<>1 (r3c6=1 r1c5<>1 r1c1=1 r1c1<>7 r1c8=7 r2c9<>7 r2c1=7 r2c1<>4) (r3c6=1 r1c4<>1) r6c2=1 r6c4<>1 r6c4=9 r1c4<>9 r1c4=4 r2c6<>4 r2c2=4 r4c2<>4 r4c2=3 r7c2<>3 r7c3=3
r3c2<>1 (r3c6=1 r7c6<>1 r7c5=1 r7c5<>6) r6c2=1 (r6c1<>1) r6c4<>1 r6c4=9 (r4c6<>9 r4c6=6 r7c6<>6) (r4c6<>9 r4c6=6 r8c6<>6) r6c1<>9 r6c1=6 r8c1<>6 r8c4=6 r8c4<>5 r8c9=5 r9c7<>5 r9c7=6 r7c8<>6 r7c3=6
Discontinuous Nice Loop: 4 r7c6 -4- r2c6 =4= r1c4 =1= r1c5 -1- r7c5 =1= r7c6 => r7c6<>4
Forcing Chain Contradiction in b7 => r2c7=6
r2c7<>6 r2c7=5 r2c2<>5 r6c2=5 r5c3<>5 r5c8=5 r5c8<>4 r4c89=4 r4c2<>4 r4c2=3 r7c2<>3 r7c3=3 r7c3<>6
r2c7<>6 r2c7=5 r9c7<>5 r8c9=5 r8c9<>8 r8c1=8 r8c1<>6
r2c7<>6 r9c7=6 r9c1<>6
r2c7<>6 r9c7=6 r9c3<>6
Naked Single: r9c7=5
Hidden Single: r8c4=5
AIC: 6 6- r6c3 =6= r6c1 =1= r6c4 -1- r1c4 =1= r1c5 =8= r3c5 =6= r3c6 -6- r8c6 =6= r8c1 -6 => r6c1,r79c3<>6
Hidden Single: r6c3=6
Hidden Single: r7c3=3
Naked Pair: 1,9 in r6c14 => r6c2<>9
Naked Triple: 2,4,9 in r78c2,r9c3 => r89c1<>4, r9c1<>9
Discontinuous Nice Loop: 1 r4c4 -1- r1c4 =1= r1c5 =8= r3c5 =6= r3c6 -6- r4c6 =6= r4c4 => r4c4<>1
Discontinuous Nice Loop: 6 r4c6 -6- r3c6 =6= r3c5 =8= r1c5 =1= r1c4 -1- r6c4 =1= r4c6 => r4c6<>6
Hidden Single: r4c4=6
Discontinuous Nice Loop: 9 r2c6 -9- r4c6 -1- r6c4 =1= r1c4 =4= r2c6 => r2c6<>9
Discontinuous Nice Loop: 8 r4c9 -8- r4c7 =8= r1c7 -8- r1c5 =8= r3c5 =6= r3c6 -6- r8c6 =6= r8c1 =8= r8c9 -8- r4c9 => r4c9<>8
Discontinuous Nice Loop: 4 r2c1 -4- r2c6 =4= r8c6 -4- r9c4 -9- r6c4 =9= r4c6 -9- r4c9 -4- r5c8 -5- r6c9 -7- r2c9 =7= r2c1 => r2c1<>4
Swordfish: 4 c134 r159 => r59c8<>4
Naked Single: r5c8=5
Naked Single: r6c9=7
Naked Single: r6c8=3
Naked Single: r6c2=5
Hidden Single: r3c3=5
Hidden Single: r2c1=7
Hidden Single: r1c8=7
Hidden Single: r4c2=3
Hidden Single: r2c9=5
Locked Candidates Type 1 (Pointing): 2 in b3 => r3c56<>2
Turbot Fish: 9 r2c5 =9= r2c2 -9- r7c2 =9= r9c3 => r9c5<>9
Naked Triple: 2,6,8 in r9c158 => r9c3<>2
Hidden Single: r1c3=2
Skyscraper: 9 in r6c1,r9c3 (connected by r69c4) => r5c3<>9
Naked Single: r5c3=4
Full House: r9c3=9
Naked Single: r9c4=4
Hidden Single: r1c1=4
Full House: r2c2=9
Naked Single: r2c5=2
Full House: r2c6=4
Naked Single: r9c5=6
Naked Single: r8c6=2
Naked Single: r9c1=8
Full House: r9c8=2
Naked Single: r8c2=4
Full House: r7c2=2
Full House: r8c1=6
Full House: r8c9=8
Naked Single: r3c8=8
Naked Single: r7c9=4
Full House: r7c8=6
Full House: r4c8=4
Naked Single: r1c7=9
Full House: r3c9=2
Full House: r4c9=9
Naked Single: r3c5=9
Full House: r3c6=6
Naked Single: r1c4=1
Full House: r1c5=8
Full House: r7c5=1
Full House: r6c4=9
Full House: r4c6=1
Full House: r7c6=9
Full House: r6c1=1
Full House: r4c7=8
Full House: r5c7=1
Full House: r5c1=9
|
normal_sudoku_6027 | .94..3...3...6...4..2....3.4....2.6...9.5...8...1..7..2..5.9.8.58.7....19...815.. | 694273815318965274752418936475892163169357428823146759241539687586724391937681542 | normal_sudoku_6027 | 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 . . 3 . . .
3 . . . 6 . . . 4
. . 2 . . . . 3 .
4 . . . . 2 . 6 .
. . 9 . 5 . . . 8
. . . 1 . . 7 . .
2 . . 5 . 9 . 8 .
5 8 . 7 . . . . 1
9 . . . 8 1 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 694273815318965274752418936475892163169357428823146759241539687586724391937681542 #1 Extreme (7062)
Locked Candidates Type 2 (Claiming): 5 in r1 => r2c8,r3c9<>5
XY-Wing: 4/6/3 in r7c5,r8c36 => r7c23,r8c5<>3
Finned Swordfish: 1 r247 c237 fr2c8 => r13c7<>1
Forcing Chain Contradiction in c6 => r2c3<>7
r2c3=7 r2c6<>7
r2c3=7 r2c3<>8 r13c1=8 r6c1<>8 r6c1=6 r13c1<>6 r3c2=6 r3c2<>5 r3c6=5 r3c6<>7
r2c3=7 r13c1<>7 r5c1=7 r5c6<>7
Forcing Chain Contradiction in c6 => r3c2<>1
r3c2=1 r3c2<>6 r13c1=6 r6c1<>6 r6c1=8 r13c1<>8 r2c3=8 r2c6<>8
r3c2=1 r3c2<>5 r3c6=5 r3c6<>8
r3c2=1 r3c2<>6 r13c1=6 r6c1<>6 r6c1=8 r6c6<>8
Forcing Chain Contradiction in c6 => r3c2<>7
r3c2=7 r3c2<>6 r13c1=6 r6c1<>6 r6c1=8 r13c1<>8 r2c3=8 r2c6<>8
r3c2=7 r3c2<>5 r3c6=5 r3c6<>8
r3c2=7 r3c2<>6 r13c1=6 r6c1<>6 r6c1=8 r6c6<>8
Forcing Chain Contradiction in r6c6 => r3c6<>4
r3c6=4 r6c6<>4
r3c6=4 r8c6<>4 r8c6=6 r6c6<>6
r3c6=4 r3c6<>5 r3c2=5 r3c2<>6 r13c1=6 r6c1<>6 r6c1=8 r6c6<>8
Forcing Chain Contradiction in c6 => r3c6<>7
r3c6=7 r3c6<>5 r2c6=5 r2c6<>8
r3c6=7 r3c6<>8
r3c6=7 r3c6<>5 r3c2=5 r3c2<>6 r13c1=6 r6c1<>6 r6c1=8 r6c6<>8
Empty Rectangle: 7 in b1 (r25c6) => r5c1<>7
Locked Candidates Type 2 (Claiming): 7 in c1 => r2c2<>7
Discontinuous Nice Loop: 8 r3c4 -8- r4c4 =8= r4c3 -8- r6c1 -6- r5c1 -1- r3c1 =1= r3c5 =4= r3c4 => r3c4<>8
Discontinuous Nice Loop: 4 r9c4 -4- r3c4 =4= r3c5 =1= r3c1 -1- r5c1 -6- r5c4 =6= r9c4 => r9c4<>4
Grouped Discontinuous Nice Loop: 2 r1c8 -2- r1c4 -8- r4c4 =8= r4c3 -8- r6c1 -6- r5c1 -1- r13c1 =1= r2c23 -1- r2c78 =1= r1c8 => r1c8<>2
Grouped Discontinuous Nice Loop: 2 r1c9 -2- r1c4 -8- r4c4 =8= r4c3 -8- r6c1 -6- r5c1 -1- r13c1 =1= r2c23 -1- r2c78 =1= r1c8 =5= r1c9 => r1c9<>2
Grouped Discontinuous Nice Loop: 9 r3c5 -9- r23c4 =9= r4c4 =8= r4c3 -8- r6c1 -6- r5c1 -1- r3c1 =1= r3c5 => r3c5<>9
Locked Candidates Type 1 (Pointing): 9 in b2 => r4c4<>9
Discontinuous Nice Loop: 2 r2c4 -2- r1c4 -8- r4c4 =8= r4c3 -8- r6c1 -6- r5c1 -1- r3c1 =1= r3c5 =4= r3c4 =9= r2c4 => r2c4<>2
Locked Candidates Type 1 (Pointing): 2 in b2 => r1c7<>2
Discontinuous Nice Loop: 8 r2c4 -8- r4c4 =8= r4c3 -8- r6c1 -6- r5c1 -1- r3c1 =1= r3c5 =4= r3c4 =9= r2c4 => r2c4<>8
Naked Single: r2c4=9
Naked Single: r3c4=4
Discontinuous Nice Loop: 2 r8c7 -2- r2c7 =2= r2c8 =7= r2c6 -7- r5c6 =7= r5c2 =2= r6c2 -2- r6c9 =2= r9c9 -2- r8c7 => r8c7<>2
Grouped AIC: 1/7 7- r2c8 =7= r2c6 -7- r5c6 =7= r4c5 =9= r6c5 =4= r78c5 -4- r8c6 -6- r6c6 =6= r5c46 -6- r5c1 -1- r13c1 =1= r2c23 -1- r2c78 =1= r1c8 -1 => r2c8<>1, r1c8<>7
Swordfish: 1 r247 c237 => r5c27<>1
AIC: 2/5 2- r6c2 =2= r5c2 -2- r5c7 =2= r2c7 =1= r1c8 =5= r6c8 -5 => r6c8<>2, r6c2<>5
AIC: 8 8- r4c4 =8= r1c4 =2= r1c5 -2- r8c5 =2= r8c8 =9= r6c8 =5= r1c8 =1= r5c8 -1- r5c1 -6- r6c1 -8 => r4c3,r6c6<>8
Hidden Single: r4c4=8
Naked Single: r1c4=2
Hidden Single: r8c5=2
Locked Pair: 1,7 in r13c5 => r2c6,r4c5<>7
Hidden Single: r5c6=7
Hidden Single: r2c8=7
Hidden Single: r2c7=2
Hidden Single: r4c7=1
Hidden Single: r1c8=1
Naked Single: r1c5=7
Naked Single: r3c5=1
Hidden Single: r5c1=1
Hidden Single: r1c9=5
Hidden Single: r6c8=5
Hidden Single: r3c1=7
Hidden Single: r8c8=9
Hidden Single: r3c7=9
Naked Single: r3c9=6
Full House: r1c7=8
Full House: r1c1=6
Full House: r6c1=8
Naked Single: r3c2=5
Full House: r3c6=8
Full House: r2c6=5
Naked Single: r2c2=1
Full House: r2c3=8
Hidden Single: r4c3=5
Hidden Single: r7c3=1
Hidden Single: r4c2=7
Hidden Single: r9c3=7
Hidden Single: r7c9=7
X-Wing: 6 r59 c24 => r67c2<>6
Naked Single: r7c2=4
Naked Single: r7c5=3
Full House: r7c7=6
Naked Single: r4c5=9
Full House: r4c9=3
Full House: r6c5=4
Naked Single: r9c4=6
Full House: r5c4=3
Full House: r6c6=6
Full House: r8c6=4
Naked Single: r5c7=4
Full House: r8c7=3
Full House: r8c3=6
Full House: r9c2=3
Full House: r6c3=3
Naked Single: r9c9=2
Full House: r6c9=9
Full House: r5c8=2
Full House: r6c2=2
Full House: r9c8=4
Full House: r5c2=6
|
normal_sudoku_1223 | .9265...85....36..6.....5....4.65893..5...276.6832.145..95..4...768..951.5..9..8. | 192654738547283619683719524724165893315948276968327145839571462476832951251496387 | normal_sudoku_1223 | 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 2 6 5 . . . 8
5 . . . . 3 6 . .
6 . . . . . 5 . .
. . 4 . 6 5 8 9 3
. . 5 . . . 2 7 6
. 6 8 3 2 . 1 4 5
. . 9 5 . . 4 . .
. 7 6 8 . . 9 5 1
. 5 . . 9 . . 8 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 192654738547283619683719524724165893315948276968327145839571462476832951251496387 #1 Hard (478)
Hidden Single: r7c1=8
Hidden Single: r9c6=6
Hidden Single: r7c8=6
Hidden Single: r9c7=3
Full House: r1c7=7
Naked Single: r9c3=1
Naked Single: r2c3=7
Full House: r3c3=3
Hidden Single: r1c8=3
Locked Candidates Type 1 (Pointing): 4 in b7 => r1c1<>4
Naked Single: r1c1=1
Full House: r1c6=4
Naked Single: r8c6=2
Locked Candidates Type 1 (Pointing): 2 in b9 => r23c9<>2
XY-Wing: 2/4/7 in r49c1,r9c4 => r4c4<>7
Naked Single: r4c4=1
Naked Single: r4c2=2
Full House: r4c1=7
Naked Single: r7c2=3
Naked Single: r6c1=9
Full House: r6c6=7
Naked Single: r5c2=1
Full House: r5c1=3
Naked Single: r8c1=4
Full House: r8c5=3
Full House: r9c1=2
Naked Single: r7c6=1
Naked Single: r9c9=7
Full House: r7c9=2
Full House: r7c5=7
Full House: r9c4=4
Naked Single: r5c4=9
Naked Single: r2c4=2
Full House: r3c4=7
Naked Single: r5c6=8
Full House: r3c6=9
Full House: r5c5=4
Naked Single: r2c8=1
Full House: r3c8=2
Naked Single: r3c9=4
Full House: r2c9=9
Naked Single: r2c5=8
Full House: r2c2=4
Full House: r3c2=8
Full House: r3c5=1
|
normal_sudoku_2522 | 25....86..........79......2.7.593628625148793389267154....75....1.......5.74.1239 | 253914867846732915791856342174593628625148793389267154932675481418329576567481239 | normal_sudoku_2522 | 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 . . . . 8 6 .
. . . . . . . . .
7 9 . . . . . . 2
. 7 . 5 9 3 6 2 8
6 2 5 1 4 8 7 9 3
3 8 9 2 6 7 1 5 4
. . . . 7 5 . . .
. 1 . . . . . . .
5 . 7 4 . 1 2 3 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 253914867846732915791856342174593628625148793389267154932675481418329576567481239 #1 Easy (176)
Naked Single: r9c2=6
Full House: r9c5=8
Naked Single: r7c7=4
Naked Single: r7c2=3
Full House: r2c2=4
Naked Single: r8c7=5
Naked Single: r3c7=3
Full House: r2c7=9
Hidden Single: r7c3=2
Hidden Single: r1c6=4
Naked Single: r3c6=6
Naked Single: r2c6=2
Full House: r8c6=9
Naked Single: r3c4=8
Naked Single: r7c4=6
Naked Single: r3c3=1
Naked Single: r7c9=1
Naked Single: r8c4=3
Full House: r8c5=2
Naked Single: r1c3=3
Naked Single: r2c1=8
Full House: r2c3=6
Naked Single: r3c5=5
Full House: r3c8=4
Naked Single: r4c3=4
Full House: r4c1=1
Full House: r8c3=8
Naked Single: r1c9=7
Naked Single: r7c8=8
Full House: r7c1=9
Full House: r8c1=4
Naked Single: r2c4=7
Full House: r1c4=9
Full House: r1c5=1
Full House: r2c5=3
Naked Single: r8c8=7
Full House: r2c8=1
Full House: r2c9=5
Full House: r8c9=6
|
normal_sudoku_1375 | .2...1..4..13..2....64..731152894.7.679..34828..6..915..8...5...1...5.4....9..1.. | 923781654741356298586429731152894376679513482834672915298147563317265849465938127 | normal_sudoku_1375 | 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 . . 4
. . 1 3 . . 2 . .
. . 6 4 . . 7 3 1
1 5 2 8 9 4 . 7 .
6 7 9 . . 3 4 8 2
8 . . 6 . . 9 1 5
. . 8 . . . 5 . .
. 1 . . . 5 . 4 .
. . . 9 . . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 923781654741356298586429731152894376679513482834672915298147563317265849465938127 #1 Hard (406)
Locked Candidates Type 2 (Claiming): 2 in c4 => r7c56,r89c5,r9c6<>2
Skyscraper: 9 in r1c8,r8c9 (connected by r18c1) => r2c9,r7c8<>9
Locked Pair: 2,6 in r79c8 => r12c8,r789c9,r8c7<>6
Hidden Single: r8c5=6
Naked Single: r7c6=7
Naked Single: r6c6=2
Naked Single: r8c4=2
Naked Single: r9c6=8
Naked Single: r6c5=7
Naked Single: r7c4=1
Naked Single: r3c6=9
Full House: r2c6=6
Naked Single: r5c4=5
Full House: r1c4=7
Full House: r5c5=1
Naked Single: r3c1=5
Naked Single: r3c2=8
Full House: r3c5=2
Naked Single: r2c9=8
Naked Single: r1c3=3
Naked Single: r1c7=6
Naked Single: r2c5=5
Full House: r1c5=8
Naked Single: r1c1=9
Full House: r1c8=5
Full House: r2c8=9
Naked Single: r6c3=4
Full House: r6c2=3
Naked Single: r8c3=7
Full House: r9c3=5
Naked Single: r4c7=3
Full House: r4c9=6
Full House: r8c7=8
Naked Single: r2c2=4
Full House: r2c1=7
Naked Single: r8c1=3
Full House: r8c9=9
Naked Single: r9c2=6
Full House: r7c2=9
Naked Single: r7c9=3
Full House: r9c9=7
Naked Single: r9c8=2
Full House: r7c8=6
Naked Single: r7c5=4
Full House: r7c1=2
Full House: r9c1=4
Full House: r9c5=3
|
normal_sudoku_1453 | ..63.......7.5.2.....6..841148265...62973.4585734...2....947...984.13..27.......4 | 416382597897154263352679841148265739629731458573498126261947385984513672735826914 | normal_sudoku_1453 | 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 . . . . .
. . 7 . 5 . 2 . .
. . . 6 . . 8 4 1
1 4 8 2 6 5 . . .
6 2 9 7 3 . 4 5 8
5 7 3 4 . . . 2 .
. . . 9 4 7 . . .
9 8 4 . 1 3 . . 2
7 . . . . . . . 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 416382597897154263352679841148265739629731458573498126261947385984513672735826914 #1 Easy (238)
Full House: r5c6=1
Naked Single: r8c4=5
Naked Single: r9c4=8
Full House: r2c4=1
Naked Single: r9c5=2
Full House: r9c6=6
Hidden Single: r6c7=1
Hidden Single: r3c5=7
Hidden Single: r7c8=8
Hidden Single: r1c2=1
Hidden Single: r7c2=6
Hidden Single: r6c9=6
Hidden Single: r9c8=1
Naked Single: r9c3=5
Naked Single: r3c3=2
Full House: r7c3=1
Naked Single: r9c2=3
Full House: r7c1=2
Full House: r9c7=9
Naked Single: r3c1=3
Naked Single: r3c6=9
Full House: r3c2=5
Full House: r2c2=9
Naked Single: r1c5=8
Full House: r6c5=9
Full House: r6c6=8
Naked Single: r2c9=3
Naked Single: r1c1=4
Full House: r2c1=8
Naked Single: r2c6=4
Full House: r2c8=6
Full House: r1c6=2
Naked Single: r7c9=5
Full House: r7c7=3
Naked Single: r8c8=7
Full House: r8c7=6
Naked Single: r4c7=7
Full House: r1c7=5
Naked Single: r1c8=9
Full House: r1c9=7
Full House: r4c9=9
Full House: r4c8=3
|
normal_sudoku_1306 | .1.62..9...9.7.2.1..21938......4.12.12.9...7.43..12....76.84319983761452..1...... | 314628795869475231752193846695847123128936574437512968576284319983761452241359687 | normal_sudoku_1306 | 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 2 . . 9 .
. . 9 . 7 . 2 . 1
. . 2 1 9 3 8 . .
. . . . 4 . 1 2 .
1 2 . 9 . . . 7 .
4 3 . . 1 2 . . .
. 7 6 . 8 4 3 1 9
9 8 3 7 6 1 4 5 2
. . 1 . . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 314628795869475231752193846695847123128936574437512968576284319983761452241359687 #1 Easy (300)
Hidden Single: r2c4=4
Hidden Single: r2c8=3
Hidden Single: r6c7=9
Hidden Single: r4c2=9
Hidden Single: r9c6=9
Hidden Single: r6c3=7
Hidden Single: r4c6=7
Hidden Single: r5c9=4
Hidden Single: r9c2=4
Hidden Single: r1c3=4
Hidden Single: r3c8=4
Hidden Single: r1c1=3
Hidden Single: r4c1=6
Hidden Single: r5c6=6
Naked Single: r5c7=5
Naked Single: r1c7=7
Full House: r9c7=6
Naked Single: r5c3=8
Full House: r5c5=3
Full House: r4c3=5
Full House: r9c5=5
Naked Single: r1c9=5
Full House: r1c6=8
Full House: r3c9=6
Full House: r2c6=5
Naked Single: r9c8=8
Full House: r6c8=6
Full House: r9c9=7
Naked Single: r4c4=8
Full House: r4c9=3
Full House: r6c9=8
Full House: r6c4=5
Naked Single: r7c4=2
Full House: r7c1=5
Full House: r9c1=2
Full House: r9c4=3
Naked Single: r3c2=5
Full House: r2c2=6
Full House: r2c1=8
Full House: r3c1=7
|
normal_sudoku_297 | .2..7.65..75.629.11..5.9.27.1..97582.926.517.75.....69.4....2......5..1..3....... | 924173658375862941186549327613497582492685173758231469847916235269358714531724896 | normal_sudoku_297 | 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 . 6 5 .
. 7 5 . 6 2 9 . 1
1 . . 5 . 9 . 2 7
. 1 . . 9 7 5 8 2
. 9 2 6 . 5 1 7 .
7 5 . . . . . 6 9
. 4 . . . . 2 . .
. . . . 5 . . 1 .
. 3 . . . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 924173658375862941186549327613497582492685173758231469847916235269358714531724896 #1 Extreme (3166)
Skyscraper: 8 in r2c4,r5c5 (connected by r25c1) => r3c5,r6c4<>8
2-String Kite: 8 in r2c4,r8c2 (connected by r2c1,r3c2) => r8c4<>8
Turbot Fish: 8 r1c9 =8= r3c7 -8- r3c2 =8= r8c2 => r8c9<>8
Forcing Net Verity => r2c4=8
r5c1=3 (r5c9<>3 r5c9=4 r1c9<>4) (r2c1<>3) (r4c1<>3) r4c3<>3 r4c4=3 r2c4<>3 r2c8=3 r1c9<>3 r1c9=8 (r1c4<>8) r1c6<>8 r2c4=8
r5c1=4 (r5c9<>4 r5c9=3 r1c9<>3) (r2c1<>4) (r4c1<>4) r4c3<>4 r4c4=4 r2c4<>4 r2c8=4 r1c9<>4 r1c9=8 (r1c4<>8) r1c6<>8 r2c4=8
r5c1=8 r2c1<>8 r2c4=8
Finned Franken Swordfish: 3 r25b2 c159 fr1c4 fr1c6 fr2c8 => r1c9<>3
W-Wing: 4/3 in r2c1,r3c5 connected by 3 in r2c8,r3c7 => r3c3<>4
2-String Kite: 4 in r3c5,r9c8 (connected by r2c8,r3c7) => r9c5<>4
Turbot Fish: 4 r3c5 =4= r3c7 -4- r6c7 =4= r5c9 => r5c5<>4
Skyscraper: 4 in r2c8,r5c9 (connected by r25c1) => r1c9<>4
Naked Single: r1c9=8
Naked Pair: 3,4 in r3c57 => r3c3<>3
Naked Pair: 3,4 in r36c7 => r8c7<>3, r89c7<>4
X-Wing: 4 c57 r36 => r6c346<>4
Remote Pair: 3/4 r3c5 -4- r3c7 -3- r6c7 -4- r5c9 => r5c5<>3
Naked Single: r5c5=8
Hidden Single: r6c3=8
Naked Single: r3c3=6
Naked Single: r3c2=8
Full House: r8c2=6
Hidden Single: r4c1=6
Locked Triple: 1,7,9 in r789c3 => r1c3,r789c1<>9
Hidden Single: r1c1=9
Naked Pair: 3,4 in r58c9 => r7c9<>3, r9c9<>4
Hidden Triple: 5,6,8 in r7c169 => r7c6<>1, r7c6<>3
2-String Kite: 3 in r3c5,r7c8 (connected by r2c8,r3c7) => r7c5<>3
Naked Single: r7c5=1
Naked Single: r9c5=2
Hidden Single: r9c3=1
Hidden Single: r6c4=2
Hidden Single: r8c1=2
Hidden Single: r6c6=1
Hidden Single: r1c4=1
Remote Pair: 3/4 r1c6 -4- r1c3 -3- r4c3 -4- r5c1 -3- r5c9 -4- r8c9 => r8c6<>3, r8c6<>4
Naked Single: r8c6=8
Naked Single: r7c6=6
Naked Single: r8c7=7
Naked Single: r7c9=5
Naked Single: r9c6=4
Full House: r1c6=3
Full House: r1c3=4
Full House: r3c5=4
Full House: r2c1=3
Full House: r3c7=3
Full House: r6c5=3
Full House: r2c8=4
Full House: r6c7=4
Full House: r9c7=8
Full House: r4c4=4
Full House: r4c3=3
Full House: r5c1=4
Full House: r5c9=3
Naked Single: r8c3=9
Full House: r7c3=7
Naked Single: r7c1=8
Full House: r9c1=5
Naked Single: r9c9=6
Full House: r8c9=4
Full House: r8c4=3
Naked Single: r9c8=9
Full House: r7c8=3
Full House: r7c4=9
Full House: r9c4=7
|
normal_sudoku_2852 | 7815.....5968.7...3429618..2.348.1..8..1....4614..5.2816..9.4..9...14.8.43..5.6.. | 781542396596837241342961875253489167879126534614375928168793452925614783437258619 | normal_sudoku_2852 | 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 5 . . . . .
5 9 6 8 . 7 . . .
3 4 2 9 6 1 8 . .
2 . 3 4 8 . 1 . .
8 . . 1 . . . . 4
6 1 4 . . 5 . 2 8
1 6 . . 9 . 4 . .
9 . . . 1 4 . 8 .
4 3 . . 5 . 6 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 781542396596837241342961875253489167879126534614375928168793452925614783437258619 #1 Easy (236)
Hidden Single: r5c3=9
Hidden Single: r6c7=9
Hidden Single: r8c2=2
Hidden Single: r8c4=6
Hidden Single: r4c6=9
Hidden Single: r5c6=6
Hidden Single: r5c5=2
Hidden Single: r1c6=2
Naked Single: r1c7=3
Naked Single: r9c6=8
Full House: r7c6=3
Naked Single: r1c5=4
Full House: r2c5=3
Full House: r6c5=7
Full House: r6c4=3
Naked Single: r2c7=2
Naked Single: r9c3=7
Naked Single: r2c9=1
Full House: r2c8=4
Naked Single: r8c3=5
Full House: r7c3=8
Naked Single: r9c4=2
Full House: r7c4=7
Naked Single: r8c7=7
Full House: r5c7=5
Full House: r8c9=3
Naked Single: r9c9=9
Full House: r9c8=1
Naked Single: r7c8=5
Full House: r7c9=2
Naked Single: r5c2=7
Full House: r4c2=5
Full House: r5c8=3
Naked Single: r1c9=6
Full House: r1c8=9
Naked Single: r3c8=7
Full House: r3c9=5
Full House: r4c9=7
Full House: r4c8=6
|
normal_sudoku_6660 | .7...31.21.56..7..8..71.....8.9.1..6..7..631.961.3.2...1...9..3...34..51..41..82. | 679853142145692738832714695483921576257486319961537284518279463726348951394165827 | normal_sudoku_6660 | 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 . . . 3 1 . 2
1 . 5 6 . . 7 . .
8 . . 7 1 . . . .
. 8 . 9 . 1 . . 6
. . 7 . . 6 3 1 .
9 6 1 . 3 . 2 . .
. 1 . . . 9 . . 3
. . . 3 4 . . 5 1
. . 4 1 . . 8 2 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 679853142145692738832714695483921576257486319961537284518279463726348951394165827 #1 Easy (244)
Hidden Single: r5c9=9
Naked Single: r9c9=7
Naked Single: r9c6=5
Naked Single: r9c5=6
Naked Single: r9c1=3
Full House: r9c2=9
Naked Single: r8c2=2
Hidden Single: r8c7=9
Hidden Single: r7c1=5
Hidden Single: r5c2=5
Hidden Single: r4c3=3
Hidden Single: r3c3=2
Naked Single: r3c6=4
Naked Single: r3c2=3
Full House: r2c2=4
Naked Single: r3c9=5
Naked Single: r1c1=6
Full House: r1c3=9
Naked Single: r2c9=8
Full House: r6c9=4
Naked Single: r3c7=6
Full House: r3c8=9
Naked Single: r8c1=7
Naked Single: r1c8=4
Full House: r2c8=3
Naked Single: r2c6=2
Full House: r2c5=9
Naked Single: r4c7=5
Full House: r7c7=4
Full House: r7c8=6
Naked Single: r4c8=7
Full House: r6c8=8
Naked Single: r8c6=8
Full House: r6c6=7
Full House: r6c4=5
Full House: r8c3=6
Full House: r7c3=8
Naked Single: r4c5=2
Full House: r4c1=4
Full House: r5c1=2
Naked Single: r7c4=2
Full House: r7c5=7
Naked Single: r1c4=8
Full House: r1c5=5
Full House: r5c5=8
Full House: r5c4=4
|
normal_sudoku_851 | ..2.3.64.4...9.....8..46..5...9..4.8.4...596..9..8.57.3..12....174.59..6......1.. | 952831647436597812781246395517963428248715963693482571369128754174359286825674139 | normal_sudoku_851 | 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 4 .
4 . . . 9 . . . .
. 8 . . 4 6 . . 5
. . . 9 . . 4 . 8
. 4 . . . 5 9 6 .
. 9 . . 8 . 5 7 .
3 . . 1 2 . . . .
1 7 4 . 5 9 . . 6
. . . . . . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 952831647436597812781246395517963428248715963693482571369128754174359286825674139 #1 Extreme (1870)
Locked Candidates Type 1 (Pointing): 1 in b2 => r46c6<>1
Locked Candidates Type 1 (Pointing): 8 in b3 => r2c46<>8
Locked Candidates Type 1 (Pointing): 2 in b7 => r9c89<>2
Locked Candidates Type 1 (Pointing): 6 in b8 => r9c123<>6
Locked Candidates Type 2 (Claiming): 6 in c1 => r4c23,r6c3<>6
Hidden Pair: 4,6 in r69c4 => r6c4<>2, r69c4<>3, r9c4<>7, r9c4<>8
Skyscraper: 1 in r3c8,r6c9 (connected by r36c3) => r12c9,r4c8<>1
Empty Rectangle: 3 in b6 (r24c2) => r2c9<>3
Hidden Rectangle: 5/6 in r2c23,r7c23 => r2c3<>5
Discontinuous Nice Loop: 1 r2c3 -1- r6c3 -3- r4c2 =3= r2c2 =6= r2c3 => r2c3<>1
Discontinuous Nice Loop: 3 r6c6 -3- r6c3 -1- r6c9 =1= r5c9 -1- r5c5 =1= r4c5 =6= r6c4 =4= r6c6 => r6c6<>3
Naked Triple: 2,4,6 in r6c146 => r6c9<>2
Empty Rectangle: 2 in b2 (r25c9) => r5c4<>2
Locked Candidates Type 1 (Pointing): 2 in b5 => r2c6<>2
Empty Rectangle: 3 in b6 (r49c6) => r9c9<>3
Locked Candidates Type 2 (Claiming): 3 in c9 => r4c8<>3
Naked Single: r4c8=2
Hidden Single: r9c2=2
Hidden Single: r6c6=2
Naked Single: r6c1=6
Naked Single: r6c4=4
Naked Single: r9c4=6
Naked Single: r9c5=7
Naked Single: r5c5=1
Full House: r4c5=6
Naked Single: r5c9=3
Full House: r6c9=1
Full House: r6c3=3
Naked Single: r5c4=7
Full House: r4c6=3
Naked Single: r3c4=2
Naked Single: r5c3=8
Full House: r5c1=2
Naked Single: r2c4=5
Naked Single: r1c4=8
Full House: r8c4=3
Naked Single: r8c8=8
Full House: r8c7=2
Naked Single: r7c7=7
Naked Single: r3c7=3
Full House: r2c7=8
Naked Single: r2c8=1
Naked Single: r2c6=7
Full House: r1c6=1
Naked Single: r3c8=9
Naked Single: r2c3=6
Naked Single: r2c9=2
Full House: r1c9=7
Full House: r2c2=3
Naked Single: r1c2=5
Full House: r1c1=9
Naked Single: r3c1=7
Full House: r3c3=1
Naked Single: r7c8=5
Full House: r9c8=3
Naked Single: r4c2=1
Full House: r7c2=6
Naked Single: r4c1=5
Full House: r4c3=7
Full House: r9c1=8
Naked Single: r7c3=9
Full House: r9c3=5
Naked Single: r9c6=4
Full House: r7c6=8
Full House: r7c9=4
Full House: r9c9=9
|
normal_sudoku_5057 | 9...8..1...83..4...5...7..8..28567...8.4....5....3.8..8..2..6..1....8.9.27...3.84 | 927684513618325479453197268392856741786412935541739826839241657164578392275963184 | normal_sudoku_5057 | 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 . . 1 .
. . 8 3 . . 4 . .
. 5 . . . 7 . . 8
. . 2 8 5 6 7 . .
. 8 . 4 . . . . 5
. . . . 3 . 8 . .
8 . . 2 . . 6 . .
1 . . . . 8 . 9 .
2 7 . . . 3 . 8 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 927684513618325479453197268392856741786412935541739826839241657164578392275963184 #1 Extreme (6766)
Hidden Single: r6c1=5
Naked Pair: 3,4 in r4c18 => r4c29<>3, r4c2<>4
Hidden Pair: 5,7 in r27c8 => r2c8<>2, r2c8<>6, r7c8<>3
Forcing Chain Contradiction in c4 => r6c2<>1
r6c2=1 r2c2<>1 r3c3=1 r3c4<>1
r6c2=1 r6c4<>1
r6c2=1 r4c2<>1 r4c9=1 r7c9<>1 r9c7=1 r9c4<>1
Forcing Chain Contradiction in r3c4 => r1c2<>4
r1c2=4 r1c2<>2 r2c2=2 r2c2<>1 r3c3=1 r3c4<>1
r1c2=4 r1c6<>4 r7c6=4 r7c6<>5 r89c4=5 r1c4<>5 r1c4=6 r3c4<>6
r1c2=4 r1c2<>2 r2c2=2 r2c2<>1 r4c2=1 r4c2<>9 r4c9=9 r2c9<>9 r3c7=9 r3c4<>9
Almost Locked Set XY-Wing: A=r1c2479 {23567}, B=r256c6 {1259}, C=r2c8 {57}, X,Y=5,7, Z=2 => r1c6<>2
Forcing Chain Contradiction in c4 => r6c9<>1
r6c9=1 r4c9<>1 r4c2=1 r2c2<>1 r3c3=1 r3c4<>1
r6c9=1 r6c4<>1
r6c9=1 r7c9<>1 r9c7=1 r9c4<>1
Forcing Chain Contradiction in r3 => r1c2<>3
r1c2=3 r3c1<>3
r1c2=3 r3c3<>3
r1c2=3 r1c2<>2 r2c2=2 r2c2<>1 r4c2=1 r4c2<>9 r4c9=9 r2c9<>9 r3c7=9 r3c7<>3
r1c2=3 r1c2<>2 r2c2=2 r2c2<>1 r4c2=1 r4c9<>1 r5c7=1 r5c7<>3 r45c8=3 r3c8<>3
Locked Candidates Type 2 (Claiming): 3 in c2 => r78c3<>3
Discontinuous Nice Loop: 2 r1c9 -2- r1c2 -6- r2c1 -7- r1c3 =7= r1c9 => r1c9<>2
Discontinuous Nice Loop: 9 r7c2 -9- r4c2 -1- r4c9 =1= r7c9 =3= r7c2 => r7c2<>9
Locked Candidates Type 1 (Pointing): 9 in b7 => r56c3<>9
Forcing Chain Contradiction in r8c7 => r1c2=2
r1c2<>2 r1c7=2 r8c7<>2
r1c2<>2 r1c2=6 r2c1<>6 r2c1=7 r1c3<>7 r1c9=7 r1c9<>3 r78c9=3 r8c7<>3
r1c2<>2 r2c2=2 r2c2<>1 r4c2=1 r4c9<>1 r7c9=1 r9c7<>1 r9c7=5 r8c7<>5
Discontinuous Nice Loop: 3 r1c3 -3- r1c7 -5- r2c8 -7- r2c1 =7= r1c3 => r1c3<>3
Locked Candidates Type 1 (Pointing): 3 in b1 => r3c78<>3
Locked Candidates Type 2 (Claiming): 3 in c8 => r5c7<>3
Discontinuous Nice Loop: 7 r8c9 -7- r7c8 -5- r2c8 =5= r1c7 =3= r8c7 =2= r8c9 => r8c9<>7
Locked Candidates Type 1 (Pointing): 7 in b9 => r7c5<>7
Almost Locked Set XZ-Rule: A=r2c1 {67}, B=r1789c3 {45679}, X=7, Z=6 => r3c3<>6
Forcing Chain Contradiction in r1c3 => r7c2=3
r7c2<>3 r7c2=4 r7c6<>4 r1c6=4 r1c3<>4
r7c2<>3 r8c2=3 r8c2<>6 r89c3=6 r1c3<>6
r7c2<>3 r7c2=4 r7c56<>4 r8c5=4 r8c5<>7 r8c4=7 r6c4<>7 r6c3=7 r1c3<>7
Naked Triple: 1,5,7 in r7c89,r9c7 => r8c7<>5
XY-Chain: 6 6- r2c1 -7- r2c8 -5- r7c8 -7- r7c9 -1- r4c9 -9- r4c2 -1- r2c2 -6 => r1c3,r2c59,r3c1<>6
Naked Pair: 3,4 in r34c1 => r5c1<>3
XY-Chain: 7 7- r2c1 -6- r2c2 -1- r4c2 -9- r4c9 -1- r7c9 -7 => r2c9<>7
Naked Pair: 2,9 in r2c9,r3c7 => r3c8<>2
Naked Single: r3c8=6
Hidden Single: r1c4=6
Hidden Single: r6c9=6
Locked Candidates Type 1 (Pointing): 5 in b2 => r7c6<>5
Locked Candidates Type 2 (Claiming): 2 in c8 => r5c7<>2
XYZ-Wing: 1/2/9 in r2c59,r3c4 => r2c6<>9
2-String Kite: 9 in r2c5,r5c7 (connected by r2c9,r3c7) => r5c5<>9
XY-Chain: 1 1- r2c2 -6- r2c1 -7- r2c8 -5- r1c7 -3- r8c7 -2- r3c7 -9- r3c4 -1 => r2c56,r3c3<>1
Hidden Single: r2c2=1
Naked Single: r4c2=9
Naked Single: r4c9=1
Naked Single: r6c2=4
Full House: r8c2=6
Naked Single: r5c7=9
Naked Single: r7c9=7
Naked Single: r4c1=3
Full House: r4c8=4
Naked Single: r6c8=2
Full House: r5c8=3
Naked Single: r3c7=2
Naked Single: r1c9=3
Naked Single: r7c8=5
Full House: r2c8=7
Naked Single: r3c1=4
Naked Single: r2c9=9
Full House: r1c7=5
Full House: r8c9=2
Naked Single: r8c7=3
Full House: r9c7=1
Naked Single: r2c1=6
Full House: r5c1=7
Naked Single: r1c3=7
Full House: r3c3=3
Full House: r1c6=4
Naked Single: r2c5=2
Full House: r2c6=5
Naked Single: r6c3=1
Full House: r5c3=6
Naked Single: r5c5=1
Full House: r5c6=2
Naked Single: r6c6=9
Full House: r6c4=7
Full House: r7c6=1
Naked Single: r3c5=9
Full House: r3c4=1
Naked Single: r8c4=5
Full House: r9c4=9
Naked Single: r7c5=4
Full House: r7c3=9
Naked Single: r9c5=6
Full House: r9c3=5
Full House: r8c3=4
Full House: r8c5=7
|
normal_sudoku_4760 | 2.....1....82415.....56.283..93..7.....692.51.62.75.98.7...68...237...1.4...2.... | 256839147738241569194567283519384726847692351362175498975416832623758914481923675 | normal_sudoku_4760 | 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 . .
. . 8 2 4 1 5 . .
. . . 5 6 . 2 8 3
. . 9 3 . . 7 . .
. . . 6 9 2 . 5 1
. 6 2 . 7 5 . 9 8
. 7 . . . 6 8 . .
. 2 3 7 . . . 1 .
4 . . . 2 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 256839147738241569194567283519384726847692351362175498975416832623758914481923675 #1 Hard (1064)
Locked Pair: 3,4 in r56c7 => r4c89,r8c7<>4, r9c7<>3
Locked Candidates Type 1 (Pointing): 3 in b2 => r1c2<>3
Locked Candidates Type 1 (Pointing): 4 in b3 => r1c23<>4
Locked Candidates Type 1 (Pointing): 9 in b3 => r789c9<>9
Locked Candidates Type 1 (Pointing): 8 in b5 => r4c12<>8
Locked Candidates Type 2 (Claiming): 6 in c7 => r89c9,r9c8<>6
2-String Kite: 1 in r6c1,r7c5 (connected by r4c5,r6c4) => r7c1<>1
W-Wing: 9/5 in r1c2,r7c1 connected by 5 in r4c12 => r23c1,r9c2<>9
W-Wing: 5/1 in r4c1,r7c3 connected by 1 in r47c5 => r78c1<>5
Naked Single: r7c1=9
Hidden Single: r4c1=5
Naked Pair: 1,4 in r67c4 => r9c4<>1
Locked Candidates Type 1 (Pointing): 1 in b8 => r7c3<>1
Naked Single: r7c3=5
Hidden Single: r1c2=5
Hidden Single: r8c5=5
Naked Single: r8c9=4
Naked Single: r7c9=2
Naked Single: r4c9=6
Naked Single: r7c8=3
Naked Single: r4c8=2
Naked Single: r7c5=1
Full House: r7c4=4
Naked Single: r9c8=7
Naked Single: r4c5=8
Full House: r1c5=3
Naked Single: r6c4=1
Full House: r4c6=4
Full House: r4c2=1
Naked Single: r2c8=6
Full House: r1c8=4
Naked Single: r9c9=5
Naked Single: r6c1=3
Full House: r6c7=4
Full House: r5c7=3
Naked Single: r9c2=8
Naked Single: r2c1=7
Naked Single: r5c2=4
Naked Single: r8c1=6
Full House: r9c3=1
Naked Single: r9c4=9
Full House: r1c4=8
Naked Single: r1c3=6
Naked Single: r2c9=9
Full House: r1c9=7
Full House: r2c2=3
Full House: r3c2=9
Full House: r1c6=9
Full House: r3c6=7
Naked Single: r3c1=1
Full House: r5c1=8
Full House: r5c3=7
Full House: r3c3=4
Naked Single: r8c7=9
Full House: r8c6=8
Full House: r9c6=3
Full House: r9c7=6
|
normal_sudoku_2010 | 3.49...7.5.9.3..4.6.8.1493..5..48296.6.....1.4921...87..54..76..4..8..2..3..7..54 | 314962578529837641678514932153748296867293415492156387985421763746385129231679854 | normal_sudoku_2010 | 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 9 . . . 7 .
5 . 9 . 3 . . 4 .
6 . 8 . 1 4 9 3 .
. 5 . . 4 8 2 9 6
. 6 . . . . . 1 .
4 9 2 1 . . . 8 7
. . 5 4 . . 7 6 .
. 4 . . 8 . . 2 .
. 3 . . 7 . . 5 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 314962578529837641678514932153748296867293415492156387985421763746385129231679854 #1 Hard (588)
Hidden Single: r5c1=8
Hidden Single: r2c4=8
Hidden Single: r7c2=8
Hidden Single: r5c7=4
Hidden Single: r9c7=8
Hidden Single: r1c9=8
Locked Candidates Type 2 (Claiming): 6 in c4 => r89c6<>6
Skyscraper: 3 in r6c7,r7c9 (connected by r67c6) => r5c9,r8c7<>3
Naked Single: r5c9=5
Full House: r6c7=3
Naked Single: r8c7=1
Naked Single: r3c9=2
Naked Single: r2c7=6
Full House: r1c7=5
Full House: r2c9=1
Naked Single: r3c2=7
Full House: r3c4=5
Naked Single: r2c2=2
Full House: r1c2=1
Full House: r2c6=7
Hidden Single: r6c5=5
Full House: r6c6=6
Naked Single: r1c6=2
Full House: r1c5=6
Hidden Single: r8c6=5
W-Wing: 3/9 in r5c6,r7c9 connected by 9 in r57c5 => r7c6<>3
Hidden Single: r7c9=3
Full House: r8c9=9
Naked Single: r8c1=7
Naked Single: r4c1=1
Naked Single: r8c3=6
Full House: r8c4=3
Naked Single: r9c3=1
Naked Single: r4c4=7
Full House: r4c3=3
Full House: r5c3=7
Naked Single: r9c6=9
Naked Single: r5c4=2
Full House: r9c4=6
Full House: r9c1=2
Full House: r7c1=9
Naked Single: r5c6=3
Full House: r7c6=1
Full House: r7c5=2
Full House: r5c5=9
|
normal_sudoku_570 | 1384.....694.85.3.275......712.5.4893897..62.5468..3...6...8..3.2..1...6.5.6.2.98 | 138467952694285731275193864712356489389741625546829317961578243823914576457632198 | normal_sudoku_570 | 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 4 . . . . .
6 9 4 . 8 5 . 3 .
2 7 5 . . . . . .
7 1 2 . 5 . 4 8 9
3 8 9 7 . . 6 2 .
5 4 6 8 . . 3 . .
. 6 . . . 8 . . 3
. 2 . . 1 . . . 6
. 5 . 6 . 2 . 9 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 138467952694285731275193864712356489389741625546829317961578243823914576457632198 #1 Easy (156)
Naked Single: r5c5=4
Naked Single: r4c4=3
Full House: r4c6=6
Naked Single: r9c1=4
Naked Single: r5c6=1
Full House: r5c9=5
Naked Single: r7c1=9
Full House: r8c1=8
Naked Single: r6c6=9
Full House: r6c5=2
Naked Single: r7c4=5
Naked Single: r7c5=7
Naked Single: r1c6=7
Naked Single: r3c6=3
Full House: r8c6=4
Naked Single: r8c4=9
Full House: r9c5=3
Naked Single: r7c3=1
Naked Single: r1c9=2
Naked Single: r3c4=1
Full House: r2c4=2
Naked Single: r7c7=2
Full House: r7c8=4
Naked Single: r9c3=7
Full House: r8c3=3
Full House: r9c7=1
Naked Single: r3c9=4
Naked Single: r3c8=6
Naked Single: r2c7=7
Full House: r2c9=1
Full House: r6c9=7
Full House: r6c8=1
Naked Single: r1c8=5
Full House: r8c8=7
Full House: r8c7=5
Naked Single: r3c5=9
Full House: r1c5=6
Full House: r1c7=9
Full House: r3c7=8
|
normal_sudoku_4181 | .83...9.54...9328....5.8.34....8.32...91345.883.2.5149318....5..6.8....3...35.8.. | 783462915451793286692518734145689327279134568836275149318947652567821493924356871 | normal_sudoku_4181 | 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 3 . . . 9 . 5
4 . . . 9 3 2 8 .
. . . 5 . 8 . 3 4
. . . . 8 . 3 2 .
. . 9 1 3 4 5 . 8
8 3 . 2 . 5 1 4 9
3 1 8 . . . . 5 .
. 6 . 8 . . . . 3
. . . 3 5 . 8 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 783462915451793286692518734145689327279134568836275149318947652567821493924356871 #1 Extreme (3924)
Locked Candidates Type 2 (Claiming): 9 in r7 => r89c6<>9
Locked Candidates Type 2 (Claiming): 4 in r9 => r8c3<>4
Naked Triple: 2,6,7 in r5c12,r6c3 => r4c13<>6, r4c123<>7
Forcing Chain Verity => r2c9<>7
r2c3=6 r2c3<>1 r2c9=1 r2c9<>7
r3c3=6 r3c7<>6 r3c7=7 r2c9<>7
r6c3=6 r6c3<>7 r6c5=7 r4c46<>7 r4c9=7 r2c9<>7
Discontinuous Nice Loop: 7 r3c5 -7- r3c7 =7= r1c8 -7- r5c8 -6- r5c1 =6= r6c3 =7= r6c5 -7- r3c5 => r3c5<>7
Discontinuous Nice Loop: 6 r9c8 -6- r5c8 -7- r1c8 =7= r3c7 =6= r7c7 -6- r9c8 => r9c8<>6
Forcing Chain Contradiction in r2 => r3c7=7
r3c7<>7 r3c7=6 r1c8<>6 r5c8=6 r5c1<>6 r6c3=6 r2c3<>6
r3c7<>7 r1c8=7 r1c456<>7 r2c4=7 r2c4<>6
r3c7<>7 r3c7=6 r2c9<>6
Naked Single: r8c7=4
Full House: r7c7=6
Hidden Single: r9c6=6
Locked Candidates Type 1 (Pointing): 1 in b8 => r8c8<>1
2-String Kite: 6 in r1c8,r4c4 (connected by r4c9,r5c8) => r1c4<>6
X-Wing: 6 c49 r24 => r2c3<>6
W-Wing: 7/6 in r2c4,r6c3 connected by 6 in r4c4,r6c5 => r2c3<>7
W-Wing: 1/5 in r2c3,r4c1 connected by 5 in r8c13 => r13c1,r4c3<>1
Hidden Single: r4c1=1
Hidden Single: r8c1=5
Hidden Single: r8c8=9
Empty Rectangle: 7 in b4 (r59c8) => r9c3<>7
Hidden Rectangle: 4/7 in r1c45,r7c45 => r7c5<>7
Hidden Rectangle: 2/9 in r3c12,r9c12 => r9c1<>2
Hidden Rectangle: 7/9 in r4c46,r7c46 => r7c4<>7
XY-Chain: 7 7- r2c4 -6- r2c9 -1- r2c3 -5- r4c3 -4- r9c3 -2- r8c3 -7- r6c3 -6- r6c5 -7 => r1c5,r4c4<>7
Locked Candidates Type 2 (Claiming): 7 in c4 => r1c6<>7
X-Wing: 7 r47 c69 => r8c6,r9c9<>7
Naked Pair: 1,2 in r18c6 => r7c6<>2
XY-Chain: 2 2- r1c6 -1- r1c8 -6- r5c8 -7- r4c9 -6- r4c4 -9- r7c4 -4- r7c5 -2 => r13c5,r8c6<>2
Naked Single: r8c6=1
Naked Single: r1c6=2
W-Wing: 7/6 in r1c1,r2c4 connected by 6 in r1c8,r2c9 => r1c4,r2c2<>7
Naked Single: r1c4=4
Naked Single: r2c2=5
Naked Single: r7c4=9
Naked Single: r2c3=1
Naked Single: r4c2=4
Naked Single: r4c4=6
Full House: r2c4=7
Full House: r2c9=6
Full House: r1c8=1
Naked Single: r7c6=7
Full House: r4c6=9
Full House: r6c5=7
Full House: r6c3=6
Naked Single: r4c3=5
Full House: r4c9=7
Full House: r5c8=6
Full House: r9c8=7
Naked Single: r1c5=6
Full House: r1c1=7
Full House: r3c5=1
Naked Single: r7c9=2
Full House: r7c5=4
Full House: r8c5=2
Full House: r9c9=1
Full House: r8c3=7
Naked Single: r3c3=2
Full House: r9c3=4
Naked Single: r9c1=9
Full House: r9c2=2
Naked Single: r5c1=2
Full House: r3c1=6
Full House: r3c2=9
Full House: r5c2=7
|
normal_sudoku_5716 | .5.81.3.4..4....2..3......93.54...92.2619345.49.25.6.324.....355.......6.63..5.4. | 957812364684739521132564879315486792726193458498257613241678935579341286863925147 | normal_sudoku_5716 | 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 . 3 . 4
. . 4 . . . . 2 .
. 3 . . . . . . 9
3 . 5 4 . . . 9 2
. 2 6 1 9 3 4 5 .
4 9 . 2 5 . 6 . 3
2 4 . . . . . 3 5
5 . . . . . . . 6
. 6 3 . . 5 . 4 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 957812364684739521132564879315486792726193458498257613241678935579341286863925147 #1 Extreme (3566)
Finned X-Wing: 1 c19 r29 fr3c1 => r2c2<>1
2-String Kite: 1 in r6c8,r8c2 (connected by r4c2,r6c3) => r8c8<>1
Forcing Chain Contradiction in r2c9 => r4c2<>7
r4c2=7 r4c2<>1 r4c7=1 r6c8<>1 r3c8=1 r2c9<>1
r4c2=7 r5c1<>7 r5c9=7 r2c9<>7
r4c2=7 r2c2<>7 r2c2=8 r2c9<>8
W-Wing: 8/7 in r5c9,r6c6 connected by 7 in r5c1,r6c3 => r6c8<>8
Almost Locked Set XY-Wing: A=r6c6 {78}, B=r8c28 {178}, C=r4c256 {1678}, X,Y=1,7, Z=8 => r8c6<>8
Finned Franken Swordfish: 8 c28b6 r248 fr3c8 fr5c9 => r2c9<>8
AIC: 7 7- r2c2 =7= r8c2 -7- r8c8 -8- r9c9 =8= r5c9 =7= r5c1 -7 => r123c1<>7
AIC: 1 1- r4c2 -8- r2c2 -7- r2c9 -1- r3c8 =1= r6c8 -1 => r4c7,r6c3<>1
Hidden Single: r4c2=1
Hidden Single: r6c8=1
Naked Pair: 7,8 in r8c28 => r8c34567<>7, r8c357<>8
Skyscraper: 8 in r2c2,r3c8 (connected by r8c28) => r2c7,r3c13<>8
Turbot Fish: 7 r4c7 =7= r5c9 -7- r5c1 =7= r9c1 => r9c7<>7
Empty Rectangle: 7 in b1 (r6c36) => r2c6<>7
W-Wing: 7/8 in r4c7,r8c8 connected by 8 in r3c78 => r7c7<>7
Turbot Fish: 7 r2c2 =7= r8c2 -7- r8c8 =7= r9c9 => r2c9<>7
Naked Single: r2c9=1
Naked Pair: 7,8 in r8c8,r9c9 => r79c7<>8
X-Wing: 7 c19 r59 => r9c45<>7
Naked Single: r9c4=9
Naked Single: r8c4=3
Hidden Single: r2c5=3
Locked Candidates Type 1 (Pointing): 9 in b7 => r1c3<>9
Locked Candidates Type 1 (Pointing): 7 in b8 => r7c3<>7
Remote Pair: 8/7 r2c2 -7- r8c2 -8- r8c8 -7- r9c9 -8- r5c9 -7- r5c1 => r2c1<>8
Hidden Single: r2c2=8
Full House: r8c2=7
Naked Single: r8c8=8
Naked Single: r9c9=7
Full House: r5c9=8
Full House: r4c7=7
Full House: r5c1=7
Full House: r6c3=8
Full House: r6c6=7
Naked Single: r2c7=5
Naked Single: r3c7=8
Hidden Single: r9c1=8
Naked Single: r9c5=2
Full House: r9c7=1
Naked Single: r8c5=4
Naked Single: r7c7=9
Full House: r8c7=2
Naked Single: r8c6=1
Full House: r8c3=9
Full House: r7c3=1
Hidden Single: r2c4=7
Naked Single: r3c5=6
Naked Single: r7c4=6
Full House: r3c4=5
Naked Single: r2c6=9
Full House: r2c1=6
Naked Single: r3c1=1
Full House: r1c1=9
Naked Single: r3c8=7
Full House: r1c8=6
Naked Single: r4c5=8
Full House: r4c6=6
Full House: r7c5=7
Full House: r7c6=8
Naked Single: r1c6=2
Full House: r1c3=7
Full House: r3c3=2
Full House: r3c6=4
|
normal_sudoku_197 | ......75145167..899.751864....82.59..9.7...6.5..9..12...9..7.1...64...757.518..3. | 268349751451672389937518642674821593192735468583964127349257816816493275725186934 | normal_sudoku_197 | 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 1
4 5 1 6 7 . . 8 9
9 . 7 5 1 8 6 4 .
. . . 8 2 . 5 9 .
. 9 . 7 . . . 6 .
5 . . 9 . . 1 2 .
. . 9 . . 7 . 1 .
. . 6 4 . . . 7 5
7 . 5 1 8 . . 3 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 268349751451672389937518642674821593192735468583964127349257816816493275725186934 #1 Hard (1074)
Hidden Single: r7c5=5
Hidden Single: r5c6=5
Hidden Single: r7c9=6
Hidden Single: r6c5=6
Hidden Single: r9c6=6
Hidden Single: r5c1=1
Hidden Single: r4c6=1
Hidden Single: r9c7=9
Hidden Single: r8c2=1
Hidden Single: r5c3=2
Locked Candidates Type 1 (Pointing): 8 in b4 => r6c9<>8
Hidden Single: r5c9=8
Locked Candidates Type 1 (Pointing): 4 in b7 => r46c2<>4
Naked Pair: 2,3 in r1c4,r2c6 => r1c56<>3, r1c6<>2
X-Wing: 2 r39 c29 => r17c2<>2
Remote Pair: 3/2 r3c2 -2- r3c9 -3- r2c7 -2- r2c6 -3- r1c4 -2- r7c4 => r7c7<>2, r7c2<>3
Locked Candidates Type 1 (Pointing): 3 in b7 => r14c1<>3
Naked Single: r4c1=6
Hidden Single: r1c2=6
Naked Pair: 4,8 in r7c27 => r7c1<>8
X-Wing: 2 r17 c14 => r8c1<>2
Skyscraper: 3 in r2c6,r5c5 (connected by r25c7) => r6c6<>3
Naked Single: r6c6=4
Full House: r5c5=3
Full House: r5c7=4
Naked Single: r1c6=9
Naked Single: r8c5=9
Full House: r1c5=4
Naked Single: r7c7=8
Naked Single: r7c2=4
Naked Single: r8c7=2
Full House: r2c7=3
Full House: r9c9=4
Full House: r9c2=2
Full House: r2c6=2
Full House: r8c6=3
Full House: r3c9=2
Full House: r3c2=3
Full House: r1c4=3
Full House: r7c4=2
Full House: r7c1=3
Full House: r8c1=8
Full House: r1c1=2
Full House: r1c3=8
Naked Single: r4c2=7
Full House: r6c2=8
Naked Single: r6c3=3
Full House: r4c3=4
Full House: r4c9=3
Full House: r6c9=7
|
normal_sudoku_5227 | .824..6......2..5...7.68...27.9...8.8..254796.94.8.2..3........7...4...1.68..29.. | 182495637643721859957368142276913584831254796594687213319576428725849361468132975 | normal_sudoku_5227 | 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 4 . . 6 . .
. . . . 2 . . 5 .
. . 7 . 6 8 . . .
2 7 . 9 . . . 8 .
8 . . 2 5 4 7 9 6
. 9 4 . 8 . 2 . .
3 . . . . . . . .
7 . . . 4 . . . 1
. 6 8 . . 2 9 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 182495637643721859957368142276913584831254796594687213319576428725849361468132975 #1 Extreme (5162)
Locked Candidates Type 1 (Pointing): 9 in b7 => r2c3<>9
Locked Candidates Type 2 (Claiming): 1 in r5 => r4c3,r6c1<>1
Locked Candidates Type 2 (Claiming): 3 in r5 => r4c3<>3
Finned Swordfish: 5 r169 c169 fr9c4 => r78c6<>5
Hidden Single: r1c6=5
AIC: 2 2- r7c9 =2= r3c9 =9= r3c1 =5= r3c2 -5- r8c2 -2 => r7c2,r8c8<>2
Hidden Single: r8c2=2
Discontinuous Nice Loop: 1 r3c2 -1- r5c2 -3- r5c3 =3= r2c3 =6= r2c1 -6- r6c1 -5- r3c1 =5= r3c2 => r3c2<>1
Grouped Discontinuous Nice Loop: 3 r2c9 -3- r2c23 =3= r3c2 =5= r3c1 =9= r3c9 =2= r7c9 =8= r2c9 => r2c9<>3
Grouped Discontinuous Nice Loop: 1 r7c5 -1- r7c23 =1= r9c1 -1- r1c1 -9- r1c5 =9= r7c5 => r7c5<>1
Almost Locked Set XZ-Rule: A=r3c478 {1234}, B=r13469c9 {234579}, X=2, Z=4 => r2c9<>4
Almost Locked Set XZ-Rule: A=r6c1 {56}, B=r2369c4 {13567}, X=6, Z=5 => r9c1<>5
Discontinuous Nice Loop: 4 r2c1 -4- r9c1 =4= r7c2 =5= r3c2 -5- r3c1 =5= r6c1 =6= r2c1 => r2c1<>4
Finned X-Wing: 4 c18 r39 fr7c8 => r9c9<>4
Discontinuous Nice Loop: 1 r3c8 -1- r6c8 -3- r6c9 -5- r6c1 =5= r3c1 =9= r3c9 =2= r3c8 => r3c8<>1
Discontinuous Nice Loop: 3 r3c9 -3- r6c9 -5- r6c1 =5= r3c1 =9= r3c9 => r3c9<>3
Almost Locked Set XY-Wing: A=r3c1247 {13459}, B=r1689c8 {13467}, C=r1269c1 {14569}, X,Y=4,9, Z=3 => r3c8<>3
Hidden Rectangle: 2/4 in r3c89,r7c89 => r7c9<>4
Discontinuous Nice Loop: 3 r4c9 -3- r6c9 -5- r6c1 =5= r3c1 =9= r3c9 =4= r4c9 => r4c9<>3
Forcing Chain Contradiction in r1c5 => r6c8=1
r6c8<>1 r1c8=1 r1c5<>1
r6c8<>1 r4c7=1 r4c5<>1 r4c5=3 r1c5<>3
r6c8<>1 r1c8=1 r1c1<>1 r1c1=9 r3c1<>9 r3c9=9 r3c9<>2 r7c9=2 r7c9<>8 r2c9=8 r2c9<>7 r1c89=7 r1c5<>7
r6c8<>1 r1c8=1 r1c1<>1 r1c1=9 r1c5<>9
Finned Swordfish: 1 r149 c156 fr9c4 => r7c6<>1
W-Wing: 3/1 in r3c4,r4c5 connected by 1 in r24c6 => r1c5,r6c4<>3
Locked Candidates Type 2 (Claiming): 3 in r1 => r23c7<>3
Skyscraper: 3 in r8c7,r9c5 (connected by r4c57) => r8c46,r9c89<>3
Naked Triple: 6,7,9 in r7c56,r8c6 => r78c4<>6, r79c4,r9c5<>7
Hidden Single: r6c4=6
Naked Single: r6c1=5
Naked Single: r4c3=6
Naked Single: r6c9=3
Full House: r6c6=7
Hidden Single: r2c1=6
Hidden Single: r2c4=7
Hidden Single: r3c2=5
Hidden Single: r1c8=3
Naked Single: r8c8=6
Naked Single: r8c6=9
Naked Single: r7c5=7
Naked Single: r7c6=6
Naked Single: r8c3=5
Naked Single: r8c4=8
Full House: r8c7=3
Hidden Single: r3c4=3
Naked Single: r2c6=1
Full House: r1c5=9
Full House: r4c6=3
Full House: r4c5=1
Full House: r9c5=3
Naked Single: r2c3=3
Naked Single: r1c1=1
Full House: r1c9=7
Naked Single: r2c2=4
Full House: r3c1=9
Full House: r9c1=4
Naked Single: r5c3=1
Full House: r5c2=3
Full House: r7c2=1
Full House: r7c3=9
Naked Single: r9c9=5
Naked Single: r2c7=8
Full House: r2c9=9
Naked Single: r9c8=7
Full House: r9c4=1
Full House: r7c4=5
Naked Single: r4c9=4
Full House: r4c7=5
Naked Single: r7c7=4
Full House: r3c7=1
Naked Single: r3c9=2
Full House: r3c8=4
Full House: r7c8=2
Full House: r7c9=8
|
normal_sudoku_2539 | 7.5..4..6.2.....7....8............5..5.43....973586.4..3..4..9551.....644.9..57.. | 795214836628953471341867529284179653156432987973586142837641295512798364469325718 | normal_sudoku_2539 | 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 . . 4 . . 6
. 2 . . . . . 7 .
. . . 8 . . . . .
. . . . . . . 5 .
. 5 . 4 3 . . . .
9 7 3 5 8 6 . 4 .
. 3 . . 4 . . 9 5
5 1 . . . . . 6 4
4 . 9 . . 5 7 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 795214836628953471341867529284179653156432987973586142837641295512798364469325718 #1 Hard (564)
Locked Candidates Type 2 (Claiming): 1 in r6 => r4c79,r5c789<>1
Locked Candidates Type 2 (Claiming): 2 in r6 => r4c79,r5c789<>2
Naked Single: r5c8=8
Hidden Pair: 4,5 in r23c7 => r23c7<>1, r23c7<>3, r2c7<>8, r23c7<>9, r3c7<>2
Skyscraper: 8 in r1c7,r9c9 (connected by r19c2) => r2c9,r78c7<>8
Hidden Single: r9c9=8
Naked Single: r9c2=6
Hidden Single: r1c7=8
Naked Single: r1c2=9
Naked Single: r3c2=4
Full House: r4c2=8
Naked Single: r3c7=5
Naked Single: r2c7=4
Hidden Single: r7c4=6
Hidden Single: r4c3=4
Hidden Single: r2c5=5
Hidden Single: r3c5=6
Naked Single: r3c3=1
Naked Single: r3c1=3
Naked Single: r3c8=2
Naked Single: r3c9=9
Full House: r3c6=7
Naked Single: r5c9=7
Naked Single: r4c9=3
Naked Single: r2c9=1
Full House: r1c8=3
Full House: r6c9=2
Full House: r9c8=1
Full House: r6c7=1
Naked Single: r7c7=2
Full House: r8c7=3
Naked Single: r9c5=2
Full House: r9c4=3
Naked Single: r7c1=8
Naked Single: r1c5=1
Full House: r1c4=2
Naked Single: r2c4=9
Full House: r2c6=3
Naked Single: r2c1=6
Full House: r2c3=8
Naked Single: r7c3=7
Full House: r7c6=1
Full House: r8c3=2
Full House: r5c3=6
Naked Single: r8c4=7
Full House: r4c4=1
Naked Single: r5c7=9
Full House: r4c7=6
Naked Single: r8c5=9
Full House: r4c5=7
Full House: r8c6=8
Naked Single: r4c1=2
Full House: r4c6=9
Full House: r5c6=2
Full House: r5c1=1
|
normal_sudoku_3465 | .....935...958.127..7.2.98..9....84.4.....56..58.6.27...16..492..5914738...8.2615 | 812749356349586127567321984296157843473298561158463279781635492625914738934872615 | normal_sudoku_3465 | 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 3 5 .
. . 9 5 8 . 1 2 7
. . 7 . 2 . 9 8 .
. 9 . . . . 8 4 .
4 . . . . . 5 6 .
. 5 8 . 6 . 2 7 .
. . 1 6 . . 4 9 2
. . 5 9 1 4 7 3 8
. . . 8 . 2 6 1 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 812749356349586127567321984296157843473298561158463279781635492625914738934872615 #1 Easy (230)
Hidden Single: r3c1=5
Hidden Single: r6c9=9
Hidden Single: r5c5=9
Hidden Single: r9c1=9
Hidden Single: r2c2=4
Hidden Single: r6c4=4
Hidden Single: r1c5=4
Naked Single: r1c9=6
Full House: r3c9=4
Naked Single: r1c3=2
Naked Single: r5c3=3
Naked Single: r4c3=6
Full House: r9c3=4
Naked Single: r5c9=1
Full House: r4c9=3
Naked Single: r6c1=1
Full House: r6c6=3
Naked Single: r1c1=8
Naked Single: r2c6=6
Full House: r2c1=3
Naked Single: r1c2=1
Full House: r1c4=7
Full House: r3c2=6
Naked Single: r3c6=1
Full House: r3c4=3
Naked Single: r7c1=7
Naked Single: r5c4=2
Full House: r4c4=1
Naked Single: r8c2=2
Full House: r8c1=6
Full House: r4c1=2
Full House: r5c2=7
Full House: r5c6=8
Naked Single: r7c6=5
Full House: r4c6=7
Full House: r4c5=5
Naked Single: r9c2=3
Full House: r7c2=8
Full House: r7c5=3
Full House: r9c5=7
|
normal_sudoku_1239 | .5.6..4.787...4..6..437.1.......6.....51.327.....2.69.5364...12..2..1...14....5.. | 359618427871254936264379185728946351695183274413725698536497812982561743147832569 | normal_sudoku_1239 | 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 . . 4 . 7
8 7 . . . 4 . . 6
. . 4 3 7 . 1 . .
. . . . . 6 . . .
. . 5 1 . 3 2 7 .
. . . . 2 . 6 9 .
5 3 6 4 . . . 1 2
. . 2 . . 1 . . .
1 4 . . . . 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 359618427871254936264379185728946351695183274413725698536497812982561743147832569 #1 Unfair (806)
Locked Candidates Type 1 (Pointing): 1 in b1 => r46c3<>1
Hidden Pair: 3,6 in r89c5 => r8c5<>5, r89c5<>8, r89c5<>9
Hidden Single: r8c4=5
Uniqueness Test 4: 3/6 in r8c58,r9c58 => r89c8<>3
Hidden Rectangle: 1/8 in r4c29,r6c29 => r4c9<>8
Sashimi Swordfish: 8 c347 r469 fr7c7 fr8c7 => r9c89<>8
Naked Single: r9c8=6
Naked Single: r9c5=3
Naked Single: r8c5=6
Naked Single: r9c9=9
Hidden Single: r2c7=9
Naked Single: r2c4=2
Hidden Single: r4c4=9
Hidden Single: r9c6=2
Hidden Single: r1c3=9
Naked Single: r1c6=8
Naked Single: r1c5=1
Naked Single: r2c5=5
Full House: r3c6=9
Naked Single: r2c8=3
Full House: r2c3=1
Naked Single: r7c6=7
Full House: r6c6=5
Naked Single: r1c8=2
Full House: r1c1=3
Naked Single: r7c7=8
Full House: r7c5=9
Full House: r9c4=8
Full House: r6c4=7
Full House: r9c3=7
Naked Single: r4c7=3
Full House: r8c7=7
Naked Single: r8c8=4
Full House: r8c9=3
Naked Single: r6c1=4
Naked Single: r8c1=9
Full House: r8c2=8
Naked Single: r4c3=8
Full House: r6c3=3
Naked Single: r5c1=6
Naked Single: r6c2=1
Full House: r6c9=8
Naked Single: r4c5=4
Full House: r5c5=8
Naked Single: r4c8=5
Full House: r3c8=8
Full House: r3c9=5
Naked Single: r3c1=2
Full House: r3c2=6
Full House: r4c1=7
Naked Single: r5c2=9
Full House: r4c2=2
Full House: r5c9=4
Full House: r4c9=1
|
normal_sudoku_1309 | .732.915.5..13..72....753.93.........87453....6....5379...1..23.3.5.291...139.7.5 | 673249158594138672218675349352967481187453296469821537945716823736582914821394765 | normal_sudoku_1309 | 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 3 2 . 9 1 5 .
5 . . 1 3 . . 7 2
. . . . 7 5 3 . 9
3 . . . . . . . .
. 8 7 4 5 3 . . .
. 6 . . . . 5 3 7
9 . . . 1 . . 2 3
. 3 . 5 . 2 9 1 .
. . 1 3 9 . 7 . 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 673249158594138672218675349352967481187453296469821537945716823736582914821394765 #1 Extreme (4628)
Hidden Single: r5c8=9
Hidden Single: r8c1=7
Locked Candidates Type 1 (Pointing): 6 in b5 => r4c789<>6
Locked Candidates Type 1 (Pointing): 4 in b6 => r4c23<>4
Locked Candidates Type 1 (Pointing): 8 in b6 => r4c456<>8
Empty Rectangle: 6 in b7 (r39c8) => r3c3<>6
Finned Jellyfish: 6 r2578 c3679 fr7c4 fr8c5 => r9c6<>6
Discontinuous Nice Loop: 2 r3c2 -2- r9c2 =2= r9c1 -2- r5c1 -1- r3c1 =1= r3c2 => r3c2<>2
Forcing Chain Contradiction in r2c3 => r1c1<>4
r1c1=4 r2c3<>4
r1c1=4 r3c123<>4 r3c8=4 r3c8<>6 r9c8=6 r9c1<>6 r13c1=6 r2c3<>6
r1c1=4 r1c5<>4 r8c5=4 r9c6<>4 r9c6=8 r9c1<>8 r13c1=8 r2c3<>8
r1c1=4 r2c2<>4 r2c2=9 r2c3<>9
Forcing Chain Contradiction in r2c3 => r1c5<>8
r1c5=8 r1c5<>4 r2c6=4 r2c3<>4
r1c5=8 r1c1<>8 r1c1=6 r2c3<>6
r1c5=8 r1c5<>4 r8c5=4 r9c6<>4 r9c6=8 r9c1<>8 r13c1=8 r2c3<>8
r1c5=8 r1c5<>4 r2c6=4 r2c2<>4 r2c2=9 r2c3<>9
Discontinuous Nice Loop: 2 r4c2 -2- r4c5 =2= r6c5 =8= r8c5 -8- r9c6 -4- r9c2 -2- r4c2 => r4c2<>2
Hidden Single: r9c2=2
Finned Franken Swordfish: 8 r19b2 c168 fr1c9 fr3c4 => r3c8<>8
Discontinuous Nice Loop: 4 r2c7 -4- r3c8 -6- r9c8 =6= r9c1 -6- r1c1 -8- r1c9 =8= r2c7 => r2c7<>4
XY-Wing: 4/6/8 in r2c7,r34c8 => r4c7<>8
Turbot Fish: 8 r3c4 =8= r2c6 -8- r2c7 =8= r7c7 => r7c4<>8
Hidden Rectangle: 6/7 in r4c46,r7c46 => r4c6<>6
AIC: 1 1- r3c2 -4- r3c8 =4= r1c9 -4- r1c5 -6- r4c5 -2- r4c7 =2= r5c7 -2- r5c1 -1 => r3c1,r4c2<>1
Hidden Single: r3c2=1
X-Chain: 4 r3c8 =4= r1c9 -4- r1c5 =4= r2c6 -4- r2c2 =4= r7c2 -4- r7c7 =4= r4c7 => r4c8<>4
Naked Single: r4c8=8
Turbot Fish: 8 r3c4 =8= r2c6 -8- r9c6 =8= r9c1 => r3c1<>8
Skyscraper: 8 in r8c9,r9c1 (connected by r1c19) => r8c3<>8
W-Wing: 4/6 in r3c8,r8c3 connected by 6 in r9c18 => r3c3<>4
W-Wing: 2/8 in r3c3,r6c5 connected by 8 in r36c4 => r6c3<>2
XY-Wing: 5/9/4 in r47c2,r6c3 => r78c3<>4
Naked Single: r8c3=6
Hidden Single: r9c8=6
Full House: r3c8=4
Hidden Single: r1c5=4
Naked Single: r8c5=8
Full House: r8c9=4
Full House: r7c7=8
Naked Single: r6c5=2
Full House: r4c5=6
Naked Single: r9c6=4
Full House: r9c1=8
Naked Single: r4c9=1
Naked Single: r2c7=6
Full House: r1c9=8
Full House: r1c1=6
Full House: r5c9=6
Naked Single: r7c3=5
Full House: r7c2=4
Naked Single: r4c6=7
Naked Single: r2c6=8
Full House: r3c4=6
Naked Single: r5c7=2
Full House: r4c7=4
Full House: r5c1=1
Naked Single: r3c1=2
Full House: r6c1=4
Full House: r3c3=8
Naked Single: r2c2=9
Full House: r2c3=4
Full House: r4c2=5
Naked Single: r4c4=9
Full House: r4c3=2
Full House: r6c3=9
Naked Single: r7c6=6
Full House: r6c6=1
Full House: r7c4=7
Full House: r6c4=8
|
normal_sudoku_1187 | ....62...826.5.9..3458972612.46...39.93.4...5..8..94...3..247....2...3...879..... | 179462583826153974345897261214675839793248615568319427631524798952781346487936152 | normal_sudoku_1187 | 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 . . .
8 2 6 . 5 . 9 . .
3 4 5 8 9 7 2 6 1
2 . 4 6 . . . 3 9
. 9 3 . 4 . . . 5
. . 8 . . 9 4 . .
. 3 . . 2 4 7 . .
. . 2 . . . 3 . .
. 8 7 9 . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 179462583826153974345897261214675839793248615568319427631524798952781346487936152 #1 Unfair (1106)
Locked Candidates Type 1 (Pointing): 1 in b1 => r1c4<>1
Locked Candidates Type 1 (Pointing): 7 in b1 => r1c89<>7
Locked Candidates Type 1 (Pointing): 8 in b8 => r8c89<>8
Skyscraper: 6 in r5c7,r7c9 (connected by r57c1) => r6c9,r9c7<>6
Hidden Single: r5c7=6
AIC: 1 1- r2c4 =1= r2c6 =3= r9c6 -3- r9c5 -1- r9c7 =1= r4c7 =8= r5c8 -8- r5c6 -1 => r2c6,r56c4<>1
Naked Single: r2c6=3
Naked Single: r1c4=4
Full House: r2c4=1
Naked Single: r7c4=5
Naked Single: r8c4=7
Naked Single: r5c4=2
Full House: r6c4=3
Hidden Single: r1c9=3
Hidden Single: r9c5=3
Hidden Single: r4c6=5
Hidden Single: r7c9=8
Hidden Single: r7c1=6
Hidden Single: r6c2=6
Hidden Single: r6c1=5
Hidden Single: r8c2=5
Turbot Fish: 1 r5c1 =1= r4c2 -1- r4c7 =1= r9c7 => r9c1<>1
Naked Single: r9c1=4
W-Wing: 8/1 in r4c7,r5c6 connected by 1 in r6c58 => r4c5,r5c8<>8
Hidden Single: r4c7=8
Naked Single: r1c7=5
Full House: r9c7=1
Naked Single: r1c8=8
Naked Single: r7c8=9
Full House: r7c3=1
Full House: r1c3=9
Full House: r8c1=9
Naked Single: r9c6=6
Naked Single: r8c8=4
Naked Single: r9c9=2
Full House: r9c8=5
Full House: r8c9=6
Naked Single: r2c8=7
Full House: r2c9=4
Full House: r6c9=7
Naked Single: r5c8=1
Full House: r6c8=2
Full House: r6c5=1
Naked Single: r5c1=7
Full House: r5c6=8
Full House: r4c5=7
Full House: r8c5=8
Full House: r1c1=1
Full House: r4c2=1
Full House: r8c6=1
Full House: r1c2=7
|
normal_sudoku_1295 | 948753621..39...7.72.8....9.9734..1.8.41...9....598.....9.3.1..471.89.3.3..4..9.. | 948753621513926478726814359697342815854167293132598764289635147471289536365471982 | normal_sudoku_1295 | 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 8 7 5 3 6 2 1
. . 3 9 . . . 7 .
7 2 . 8 . . . . 9
. 9 7 3 4 . . 1 .
8 . 4 1 . . . 9 .
. . . 5 9 8 . . .
. . 9 . 3 . 1 . .
4 7 1 . 8 9 . 3 .
3 . . 4 . . 9 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 948753621513926478726814359697342815854167293132598764289635147471289536365471982 #1 Medium (324)
Hidden Single: r3c7=3
Locked Candidates Type 1 (Pointing): 1 in b1 => r2c56<>1
Locked Candidates Type 1 (Pointing): 7 in b5 => r5c79<>7
Hidden Single: r6c7=7
Hidden Single: r2c7=4
Naked Single: r3c8=5
Full House: r2c9=8
Naked Single: r3c3=6
Naked Single: r3c5=1
Full House: r3c6=4
Naked Single: r6c3=2
Full House: r9c3=5
Hidden Single: r4c7=8
Hidden Single: r9c6=1
Hidden Single: r7c1=2
Naked Single: r7c4=6
Full House: r8c4=2
Naked Single: r7c2=8
Full House: r9c2=6
Naked Single: r8c7=5
Full House: r5c7=2
Full House: r8c9=6
Naked Single: r9c5=7
Full House: r7c6=5
Naked Single: r7c8=4
Full House: r7c9=7
Naked Single: r9c8=8
Full House: r9c9=2
Full House: r6c8=6
Naked Single: r4c9=5
Naked Single: r5c5=6
Full House: r2c5=2
Full House: r2c6=6
Naked Single: r6c1=1
Naked Single: r4c1=6
Full House: r4c6=2
Full House: r5c6=7
Full House: r2c1=5
Full House: r2c2=1
Naked Single: r5c9=3
Full House: r5c2=5
Full House: r6c2=3
Full House: r6c9=4
|
normal_sudoku_2537 | ...7.6....861.2..7...3.9..6.6.43........6.43.413..867..94.73...65289...3.37..5..9 | 329786154586142397741359826265437981978561432413928675194273568652894713837615249 | normal_sudoku_2537 | 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 . 6 . . .
. 8 6 1 . 2 . . 7
. . . 3 . 9 . . 6
. 6 . 4 3 . . . .
. . . . 6 . 4 3 .
4 1 3 . . 8 6 7 .
. 9 4 . 7 3 . . .
6 5 2 8 9 . . . 3
. 3 7 . . 5 . . 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 329786154586142397741359826265437981978561432413928675194273568652894713837615249 #1 Easy (220)
Hidden Single: r8c7=7
Hidden Single: r9c5=1
Naked Single: r8c6=4
Full House: r8c8=1
Naked Single: r9c1=8
Full House: r7c1=1
Naked Single: r9c7=2
Naked Single: r9c4=6
Full House: r7c4=2
Full House: r9c8=4
Hidden Single: r6c4=9
Full House: r5c4=5
Naked Single: r6c5=2
Full House: r6c9=5
Naked Single: r7c9=8
Naked Single: r7c7=5
Full House: r7c8=6
Hidden Single: r1c9=4
Naked Single: r1c2=2
Naked Single: r5c2=7
Full House: r3c2=4
Naked Single: r5c6=1
Full House: r4c6=7
Naked Single: r5c9=2
Full House: r4c9=1
Naked Single: r5c1=9
Full House: r5c3=8
Naked Single: r4c3=5
Full House: r4c1=2
Naked Single: r3c3=1
Full House: r1c3=9
Naked Single: r3c7=8
Naked Single: r1c8=5
Naked Single: r3c5=5
Naked Single: r4c7=9
Full House: r4c8=8
Naked Single: r1c1=3
Naked Single: r1c5=8
Full House: r2c5=4
Full House: r1c7=1
Full House: r2c7=3
Naked Single: r2c8=9
Full House: r3c8=2
Full House: r3c1=7
Full House: r2c1=5
|
normal_sudoku_4530 | .37.58.198.1...57.59.71....9.527183..13.8....7829...51.7814.........71..15..2.... | 237458619861392574594716328945271836613584297782963451378145962429637185156829743 | normal_sudoku_4530 | 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 8 . 1 9
8 . 1 . . . 5 7 .
5 9 . 7 1 . . . .
9 . 5 2 7 1 8 3 .
. 1 3 . 8 . . . .
7 8 2 9 . . . 5 1
. 7 8 1 4 . . . .
. . . . . 7 1 . .
1 5 . . 2 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 237458619861392574594716328945271836613584297782963451378145962429637185156829743 #1 Extreme (3044)
Naked Pair: 4,6 in r4c9,r6c7 => r5c789<>4, r5c789<>6
Forcing Chain Contradiction in r2 => r1c1<>4
r1c1=4 r1c1<>2 r2c2=2 r2c2<>6
r1c1=4 r1c4<>4 r1c4=6 r2c4<>6
r1c1=4 r1c4<>4 r1c4=6 r2c5<>6
r1c1=4 r1c4<>4 r1c4=6 r2c6<>6
r1c1=4 r5c1<>4 r5c1=6 r4c2<>6 r4c9=6 r2c9<>6
Skyscraper: 4 in r1c4,r6c6 (connected by r16c7) => r23c6,r5c4<>4
2-String Kite: 4 in r4c9,r8c1 (connected by r4c2,r5c1) => r8c9<>4
Turbot Fish: 4 r3c3 =4= r2c2 -4- r4c2 =4= r4c9 => r3c9<>4
Discontinuous Nice Loop: 6 r8c2 -6- r4c2 =6= r5c1 -6- r1c1 -2- r2c2 =2= r8c2 => r8c2<>6
Grouped Discontinuous Nice Loop: 4 r9c9 -4- r4c9 =4= r4c2 -4- r2c2 =4= r3c3 -4- r3c8 =4= r89c8 -4- r9c9 => r9c9<>4
Almost Locked Set XZ-Rule: A=r16c7 {246}, B=r1c1,r3c3 {246}, X=2, Z=4 => r3c7<>4
Empty Rectangle: 4 in b7 (r3c38) => r8c8<>4
Locked Candidates Type 1 (Pointing): 4 in b9 => r9c3<>4
Discontinuous Nice Loop: 9 r9c8 -9- r9c3 -6- r3c3 -4- r3c8 =4= r9c8 => r9c8<>9
Forcing Chain Verity => r1c1=2
r2c2=4 r2c2<>2 r1c1=2
r2c4=4 r1c4<>4 r1c4=6 r1c1<>6 r1c1=2
r2c9=4 r4c9<>4 r4c9=6 r4c2<>6 r2c2=6 r2c2<>2 r1c1=2
Hidden Single: r8c2=2
Naked Pair: 4,6 in r16c7 => r379c7<>6, r9c7<>4
Hidden Single: r9c8=4
Hidden Single: r3c3=4
Full House: r2c2=6
Full House: r4c2=4
Full House: r4c9=6
Full House: r5c1=6
Naked Single: r6c7=4
Naked Single: r5c4=5
Naked Single: r7c1=3
Full House: r8c1=4
Naked Single: r1c7=6
Full House: r1c4=4
Naked Single: r5c6=4
Naked Single: r2c4=3
Naked Single: r2c5=9
Naked Single: r2c6=2
Full House: r2c9=4
Full House: r3c6=6
Naked Single: r6c6=3
Full House: r6c5=6
Full House: r8c5=3
Naked Single: r9c6=9
Full House: r7c6=5
Naked Single: r9c3=6
Full House: r8c3=9
Naked Single: r7c9=2
Naked Single: r9c4=8
Full House: r8c4=6
Naked Single: r5c9=7
Naked Single: r7c7=9
Full House: r7c8=6
Naked Single: r8c8=8
Full House: r8c9=5
Naked Single: r9c9=3
Full House: r3c9=8
Full House: r9c7=7
Naked Single: r5c7=2
Full House: r3c7=3
Full House: r3c8=2
Full House: r5c8=9
|
normal_sudoku_4774 | .785........42...82....8.5.1...4..6..8...54.1..9...3....3...9..6..1...2..2...4..6 | 978561234536429718241738659157943862382675491469812375813256947694187523725394186 | normal_sudoku_4774 | 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 5 . . . . .
. . . 4 2 . . . 8
2 . . . . 8 . 5 .
1 . . . 4 . . 6 .
. 8 . . . 5 4 . 1
. . 9 . . . 3 . .
. . 3 . . . 9 . .
6 . . 1 . . . 2 .
. 2 . . . 4 . . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 978561234536429718241738659157943862382675491469812375813256947694187523725394186 #1 Extreme (10864)
Skyscraper: 8 in r4c4,r8c5 (connected by r48c7) => r6c5,r79c4<>8
Grouped Discontinuous Nice Loop: 7 r5c3 =2= r5c4 -2- r6c46 =2= r6c9 =5= r4c79 -5- r4c2 -3- r5c1 -7- r5c3 => r5c3<>7
Grouped Discontinuous Nice Loop: 7 r6c1 =4= r6c2 =6= r5c3 =2= r5c4 -2- r6c46 =2= r6c9 =5= r4c79 -5- r4c2 -3- r5c1 -7- r6c1 => r6c1<>7
Almost Locked Set XZ-Rule: A=r5c1458 {23679}, B=r6c4568 {12678}, X=2,6 => r4c46<>2, r6c9<>7
Forcing Chain Contradiction in r1c1 => r1c8<>9
r1c8=9 r5c8<>9 r5c8=7 r5c1<>7 r5c1=3 r1c1<>3
r1c8=9 r5c8<>9 r5c8=7 r5c1<>7 r5c1=3 r4c2<>3 r4c2=5 r6c1<>5 r6c1=4 r1c1<>4
r1c8=9 r1c1<>9
Forcing Net Contradiction in c6 => r5c8=9
r5c8<>9 r5c8=7 r5c1<>7 r5c1=3 (r1c1<>3) r4c2<>3 r4c2=5 r6c1<>5 r6c1=4 r1c1<>4 r1c1=9 r1c6<>9
r5c8<>9 r2c8=9 r2c6<>9
r5c8<>9 r2c8=9 (r1c9<>9) r3c9<>9 r4c9=9 r4c6<>9
r5c8<>9 (r2c8=9 r2c2<>9) r5c8=7 r5c1<>7 r5c1=3 (r1c1<>3) r4c2<>3 r4c2=5 r6c1<>5 r6c1=4 r1c1<>4 r1c1=9 r3c2<>9 r8c2=9 r8c6<>9
Forcing Chain Contradiction in r8 => r3c2<>9
r3c2=9 r8c2<>9
r3c2=9 r2c12<>9 r2c6=9 r4c6<>9 r4c4=9 r4c4<>8 r4c7=8 r8c7<>8 r8c5=8 r8c5<>9
r3c2=9 r2c12<>9 r2c6=9 r8c6<>9
Forcing Chain Contradiction in r1c1 => r4c4<>3
r4c4=3 r4c2<>3 r5c1=3 r1c1<>3
r4c4=3 r4c2<>3 r4c2=5 r6c1<>5 r6c1=4 r1c1<>4
r4c4=3 r4c4<>9 r4c6=9 r2c6<>9 r2c12=9 r1c1<>9
Forcing Net Contradiction in r1c7 => r1c7=2
r1c7<>2 r1c9=2 (r6c9<>2 r6c9=5 r6c1<>5 r6c1=4 r1c1<>4 r1c8=4 r1c8<>3) (r1c9<>3) (r1c9<>9 r3c9=9 r3c5<>9) (r1c9<>9 r3c9=9 r3c4<>9) r1c7<>2 r4c7=2 r4c7<>8 r4c4=8 r4c4<>9 r9c4=9 (r9c4<>3 r9c5=3 r3c5<>3) (r8c5<>9) r9c5<>9 r1c5=9 r1c5<>3 r1c6=3 (r3c4<>3) r4c6<>3 r4c2=3 r3c2<>3 r3c9=3 r3c9<>9 r1c9=9 r1c9<>2 r1c7=2
Locked Candidates Type 2 (Claiming): 6 in r1 => r2c6,r3c45<>6
Almost Locked Set XZ-Rule: A=r6c124569 {1245678}, B=r349c4 {3789}, X=8, Z=7 => r5c4<>7
Forcing Net Contradiction in r5c1 => r1c1<>4
r1c1=4 (r1c1<>3) (r3c3<>4 r3c9=4 r3c9<>9 r1c9=9 r1c9<>3) r6c1<>4 (r6c2=4 r6c2<>6 r5c3=6 r5c5<>6) r6c1=5 r4c2<>5 r4c2=3 r5c1<>3 r5c1=7 r5c5<>7 r5c5=3 (r3c5<>3) r1c5<>3 r1c6=3 (r3c4<>3) r4c6<>3 r4c2=3 r3c2<>3 r3c9=3 r3c9<>4 r1c89=4 r1c1<>4
Locked Candidates Type 1 (Pointing): 4 in b1 => r3c9<>4
Almost Locked Set XY-Wing: A=r1c1 {39}, B=r248c6 {1379}, C=r2c12378 {135679}, X,Y=1,9, Z=3 => r1c6<>3
Forcing Net Contradiction in r3c2 => r6c1=4
r6c1<>4 (r6c1=5 r4c2<>5 r4c2=3 r2c2<>3) (r7c1=4 r8c3<>4 r8c9=4 r8c9<>3) (r6c1=5 r4c2<>5 r4c2=3 r5c1<>3 r5c1=7 r5c5<>7) r6c2=4 r6c2<>6 r5c3=6 r5c5<>6 r5c5=3 r8c5<>3 r8c6=3 (r2c6<>3) r9c5<>3 r9c8=3 (r9c4<>3) r2c8<>3 r2c1=3 (r2c1<>9) r1c1<>3 r1c1=9 r2c2<>9 r2c6=9 (r2c6<>7) r4c6<>9 r4c4=9 r4c4<>8 r4c7=8 r6c8<>8 r6c8=7 r2c8<>7 r2c7=7 (r2c7<>1) r2c7<>6 r3c7=6 r3c7<>1 r9c7=1 r7c8<>1 r7c2=1 r3c2<>1
r6c1<>4 r6c1=5 r4c2<>5 r4c2=3 r3c2<>3
r6c1<>4 r6c2=4 r3c2<>4
r6c1<>4 (r6c1=5 r4c2<>5 r4c2=3 r2c2<>3) (r7c1=4 r8c3<>4 r8c9=4 r8c9<>3) (r6c1=5 r4c2<>5 r4c2=3 r5c1<>3 r5c1=7 r5c5<>7) r6c2=4 r6c2<>6 r5c3=6 r5c5<>6 r5c5=3 r8c5<>3 r8c6=3 (r2c6<>3) r9c5<>3 r9c8=3 (r9c4<>3) r2c8<>3 r2c1=3 (r2c1<>9) r1c1<>3 r1c1=9 r2c2<>9 r2c6=9 (r2c6<>7) r4c6<>9 r4c4=9 r4c4<>8 r4c7=8 r6c8<>8 r6c8=7 r2c8<>7 r2c7=7 r2c7<>6 r3c7=6 r3c2<>6
Forcing Net Verity => r8c2=9
r2c1=3 r1c1<>3 r1c1=9 r2c2<>9 r8c2=9
r2c2=3 r2c2<>9 r8c2=9
r2c6=3 (r8c6<>3) (r3c4<>3) (r3c5<>3) r4c6<>3 r4c2=3 r3c2<>3 r3c9=3 r8c9<>3 r8c5=3 (r8c5<>9) r8c5<>8 r8c7=8 r4c7<>8 r4c4=8 r4c4<>9 r4c6=9 r8c6<>9 r8c2=9
r2c8=3 (r2c2<>3) (r2c6<>3) (r1c9<>3) r3c9<>3 r8c9=3 r8c6<>3 r4c6=3 r4c2<>3 r3c2=3 r1c1<>3 r1c1=9 r2c2<>9 r8c2=9
Almost Locked Set XZ-Rule: A=r4c2 {35}, B=r579c1 {3578}, X=3, Z=5 => r7c2<>5
Forcing Chain Contradiction in r2 => r2c6<>7
r2c6=7 r2c6<>9 r2c1=9 r2c1<>3
r2c6=7 r2c6<>9 r2c1=9 r1c1<>9 r1c1=3 r2c2<>3
r2c6=7 r2c6<>3
r2c6=7 r8c6<>7 r8c6=3 r8c9<>3 r9c8=3 r2c8<>3
Locked Candidates Type 1 (Pointing): 7 in b2 => r3c79<>7
Forcing Chain Verity => r3c2<>3
r3c4=3 r3c2<>3
r5c4=3 r5c1<>3 r4c2=3 r3c2<>3
r9c4=3 r9c8<>3 r8c9=3 r8c9<>4 r8c3=4 r3c3<>4 r3c2=4 r3c2<>3
Naked Triple: 1,4,6 in r3c237 => r3c5<>1
Sashimi Swordfish: 3 c269 r248 fr1c9 fr3c9 => r2c8<>3
Naked Triple: 1,6,7 in r2c78,r3c7 => r1c8<>1
Locked Candidates Type 2 (Claiming): 1 in r1 => r2c6<>1
Naked Triple: 3,7,9 in r2c6,r3c45 => r1c5<>3, r1c56<>9
Naked Triple: 3,7,9 in r248c6 => r67c6<>7
Uniqueness Test 4: 1/6 in r1c56,r6c56 => r6c56<>6
Finned X-Wing: 7 c69 r48 fr7c9 => r8c7<>7
Finned Swordfish: 7 c369 r478 fr9c3 => r7c1<>7
Finned Swordfish: 7 r367 c458 fr7c9 => r9c8<>7
Finned Swordfish: 7 c369 r489 fr7c9 => r9c7<>7
Discontinuous Nice Loop: 7 r7c4 -7- r3c4 =7= r3c5 -7- r6c5 -1- r6c6 -2- r7c6 =2= r7c4 => r7c4<>7
Naked Pair: 2,6 in r7c46 => r7c5<>6
W-Wing: 2/6 in r5c3,r7c4 connected by 6 in r6c24 => r5c4<>2
Hidden Single: r5c3=2
Hidden Single: r4c9=2
Naked Single: r6c9=5
Naked Single: r6c2=6
Locked Candidates Type 2 (Claiming): 7 in c9 => r7c8<>7
Naked Pair: 1,4 in r37c2 => r2c2<>1
Naked Triple: 3,5,9 in r12c1,r2c2 => r2c3<>5
XY-Wing: 7/8/5 in r4c37,r8c7 => r8c3<>5
Naked Triple: 3,4,7 in r8c369 => r8c5<>3, r8c5<>7
Empty Rectangle: 3 in b2 (r8c69) => r3c9<>3
Naked Single: r3c9=9
Hidden Single: r1c1=9
Hidden Single: r9c5=9
Hidden Single: r2c6=9
Hidden Single: r4c4=9
Hidden Single: r4c7=8
Full House: r6c8=7
Naked Single: r8c7=5
Naked Single: r2c8=1
Naked Single: r6c5=1
Naked Single: r8c5=8
Naked Single: r9c7=1
Naked Single: r2c3=6
Naked Single: r3c7=6
Full House: r2c7=7
Naked Single: r1c5=6
Naked Single: r6c6=2
Full House: r6c4=8
Naked Single: r1c6=1
Naked Single: r7c6=6
Naked Single: r7c4=2
Hidden Single: r7c5=5
Naked Single: r7c1=8
Naked Single: r7c8=4
Naked Single: r1c8=3
Full House: r1c9=4
Full House: r9c8=8
Naked Single: r7c2=1
Full House: r7c9=7
Full House: r8c9=3
Naked Single: r3c2=4
Naked Single: r8c6=7
Full House: r4c6=3
Full House: r8c3=4
Full House: r9c4=3
Naked Single: r3c3=1
Naked Single: r4c2=5
Full House: r2c2=3
Full House: r4c3=7
Full House: r2c1=5
Full House: r5c1=3
Full House: r9c3=5
Full House: r9c1=7
Naked Single: r5c4=6
Full House: r5c5=7
Full House: r3c4=7
Full House: r3c5=3
|
normal_sudoku_2779 | ..2..763...7.219.4.4.3....2..6..92......5.8638......9...9.....671...6..926....1.. | 582947631637821954941365782376489215194752863825613497459178326718236549263594178 | normal_sudoku_2779 | 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 6 3 .
. . 7 . 2 1 9 . 4
. 4 . 3 . . . . 2
. . 6 . . 9 2 . .
. . . . 5 . 8 6 3
8 . . . . . . 9 .
. . 9 . . . . . 6
7 1 . . . 6 . . 9
2 6 . . . . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 582947631637821954941365782376489215194752863825613497459178326718236549263594178 #1 Extreme (6390)
Hidden Pair: 6,9 in r3c15 => r3c1<>1, r3c1<>5, r3c5<>8
2-String Kite: 1 in r1c1,r4c8 (connected by r1c9,r3c8) => r4c1<>1
Discontinuous Nice Loop: 7 r6c5 -7- r5c4 =7= r5c2 =9= r5c1 -9- r3c1 -6- r3c5 =6= r6c5 => r6c5<>7
Discontinuous Nice Loop: 7 r6c7 -7- r3c7 =7= r3c8 =1= r4c8 =4= r6c7 => r6c7<>7
Discontinuous Nice Loop: 7 r9c4 -7- r5c4 =7= r5c2 =9= r1c2 -9- r1c4 =9= r9c4 => r9c4<>7
Forcing Chain Contradiction in r2c4 => r9c4<>8
r9c4=8 r9c9<>8 r1c9=8 r2c8<>8 r2c8=5 r2c4<>5
r9c4=8 r9c4<>9 r9c5=9 r3c5<>9 r3c5=6 r2c4<>6
r9c4=8 r2c4<>8
Forcing Net Contradiction in b8 => r3c7=7
r3c7<>7 r3c7=5 (r6c7<>5 r6c7=4 r8c7<>4 r8c7=3 r8c5<>3) (r3c6<>5 r3c6=8 r3c3<>8) r2c8<>5 r2c8=8 r1c9<>8 r9c9=8 r9c3<>8 r8c3=8 r8c5<>8 r8c5=4
r3c7<>7 (r3c7=5 r6c7<>5 r6c7=4 r6c6<>4) r3c8=7 r3c8<>1 r3c3=1 r5c3<>1 r5c3=4 (r5c6<>4) (r4c1<>4) r5c1<>4 r7c1=4 r7c6<>4 r9c6=4
Forcing Net Contradiction in r9c8 => r1c1<>9
r1c1=9 r1c1<>1 (r5c1=1 r5c3<>1 r5c3=4 r5c6<>4) (r5c1=1 r5c3<>1 r5c3=4 r4c1<>4 r7c1=4 r7c6<>4) r1c9=1 r3c8<>1 r4c8=1 r4c8<>4 r6c7=4 r6c6<>4 r9c6=4 r9c8<>4
r1c1=9 r1c1<>1 r1c9=1 r1c9<>5 r23c8=5 r9c8<>5
r1c1=9 (r5c1<>9 r5c2=9 r5c2<>7 r5c4=7 r7c4<>7) (r1c1<>1 r5c1=1 r6c3<>1) (r1c1<>1 r1c9=1 r6c9<>1) r3c1<>9 r3c1=6 r2c1<>6 r2c4=6 r6c4<>6 r6c5=6 r6c5<>1 r6c4=1 r7c4<>1 r7c5=1 r7c5<>7 r7c8=7 r9c8<>7
r1c1=9 r1c1<>1 r1c9=1 r1c9<>8 r9c9=8 r9c8<>8
Forcing Net Contradiction in r4 => r1c2<>5
r1c2=5 (r3c3<>5) r1c1<>5 r1c1=1 (r1c9<>1 r1c9=8 r2c8<>8) r3c3<>1 r3c3=8 (r2c2<>8) r2c2<>8 r2c4=8 (r4c4<>8 r4c5=8 r4c5<>3) r2c8<>8 r2c8=5 r2c2<>5 r2c2=3 r4c2<>3 r4c1=3 r4c1<>5
r1c2=5 r4c2<>5
r1c2=5 (r1c9<>5) r1c1<>5 r1c1=1 r1c9<>1 r1c9=8 r2c8<>8 r2c8=5 r4c8<>5
r1c2=5 (r1c1<>5 r1c1=1 r1c9<>1 r1c9=8 r9c9<>8) r1c2<>9 r5c2=9 (r5c2<>2 r6c2=2 r6c2<>7) r5c2<>7 r5c4=7 r6c4<>7 r6c9=7 r9c9<>7 r9c9=5 r4c9<>5
Forcing Chain Verity => r9c6<>8
r1c1=5 r1c1<>1 r1c9=1 r1c9<>8 r9c9=8 r9c6<>8
r1c4=5 r3c6<>5 r3c6=8 r9c6<>8
r1c9=5 r1c9<>8 r9c9=8 r9c6<>8
Empty Rectangle: 8 in b1 (r37c6) => r7c2<>8
Locked Candidates Type 1 (Pointing): 8 in b7 => r3c3<>8
Naked Pair: 1,5 in r1c1,r3c3 => r2c12<>5
Naked Triple: 3,4,5 in r7c127 => r7c4568<>4, r7c468<>5, r7c56<>3
2-String Kite: 5 in r2c8,r9c6 (connected by r2c4,r3c6) => r9c8<>5
Turbot Fish: 4 r4c8 =4= r6c7 -4- r7c7 =4= r7c1 => r4c1<>4
W-Wing: 5/3 in r4c1,r7c2 connected by 3 in r2c12 => r46c2,r7c1<>5
Hidden Single: r7c2=5
Empty Rectangle: 5 in b3 (r14c1) => r4c8<>5
Finned Swordfish: 5 r149 c149 fr9c6 => r8c4<>5
Locked Candidates Type 1 (Pointing): 5 in b8 => r9c9<>5
XY-Chain: 8 8- r1c2 -9- r3c1 -6- r2c1 -3- r4c1 -5- r1c1 -1- r3c3 -5- r3c6 -8 => r1c45<>8
Hidden Rectangle: 4/9 in r1c45,r9c45 => r9c4<>4
XY-Chain: 4 4- r5c3 -1- r3c3 -5- r3c6 -8- r7c6 -2- r5c6 -4 => r5c14<>4
Hidden Single: r7c1=4
Naked Single: r7c7=3
Locked Candidates Type 1 (Pointing): 3 in b7 => r6c3<>3
Finned Swordfish: 4 r148 c458 fr8c7 => r9c8<>4
Locked Pair: 7,8 in r9c89 => r78c8,r9c35<>8, r7c8,r9c5<>7
Naked Single: r9c3=3
Full House: r8c3=8
Naked Single: r7c8=2
Naked Single: r7c6=8
Naked Single: r3c6=5
Naked Single: r3c3=1
Naked Single: r9c6=4
Naked Single: r1c1=5
Naked Single: r3c8=8
Naked Single: r5c3=4
Full House: r6c3=5
Naked Single: r5c6=2
Full House: r6c6=3
Naked Single: r8c4=2
Naked Single: r8c5=3
Naked Single: r9c5=9
Naked Single: r4c1=3
Naked Single: r1c9=1
Full House: r2c8=5
Naked Single: r9c8=7
Naked Single: r6c7=4
Full House: r8c7=5
Full House: r8c8=4
Full House: r9c9=8
Full House: r9c4=5
Full House: r4c8=1
Naked Single: r1c5=4
Naked Single: r3c5=6
Full House: r3c1=9
Naked Single: r2c1=6
Full House: r5c1=1
Naked Single: r4c2=7
Naked Single: r6c9=7
Full House: r4c9=5
Naked Single: r1c4=9
Full House: r2c4=8
Full House: r1c2=8
Full House: r2c2=3
Naked Single: r6c5=1
Naked Single: r5c4=7
Full House: r5c2=9
Full House: r6c2=2
Full House: r6c4=6
Naked Single: r4c5=8
Full House: r4c4=4
Full House: r7c5=7
Full House: r7c4=1
|
normal_sudoku_6537 | .392.17.8.2.98..131...3729..46328..1..2.1..3.3.1..9..2...1.23.......3129213.95..7 | 539241768427986513168537294746328951952714836381659472694172385875463129213895647 | normal_sudoku_6537 | 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 2 . 1 7 . 8
. 2 . 9 8 . . 1 3
1 . . . 3 7 2 9 .
. 4 6 3 2 8 . . 1
. . 2 . 1 . . 3 .
3 . 1 . . 9 . . 2
. . . 1 . 2 3 . .
. . . . . 3 1 2 9
2 1 3 . 9 5 . . 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 539241768427986513168537294746328951952714836381659472694172385875463129213895647 #1 Extreme (1686)
Locked Candidates Type 1 (Pointing): 5 in b9 => r7c123<>5
Forcing Chain Contradiction in c9 => r3c4<>4
r3c4=4 r3c9<>4
r3c4=4 r2c6<>4 r5c6=4 r5c9<>4
r3c4=4 r9c4<>4 r9c78=4 r7c9<>4
Discontinuous Nice Loop: 6 r6c5 -6- r5c6 -4- r2c6 =4= r1c5 =5= r6c5 => r6c5<>6
Finned Jellyfish: 6 r1269 c1478 fr1c5 fr2c6 => r3c4<>6
Naked Single: r3c4=5
Hidden Single: r6c5=5
Locked Candidates Type 1 (Pointing): 7 in b5 => r8c4<>7
Finned Swordfish: 5 r147 c189 fr4c7 => r5c9<>5
Hidden Single: r7c9=5
Naked Pair: 4,6 in r5c69 => r5c47<>4, r5c47<>6
Naked Single: r5c4=7
Remote Pair: 4/6 r2c6 -6- r5c6 -4- r5c9 -6- r3c9 => r2c7<>4, r2c7<>6
Naked Single: r2c7=5
Naked Single: r4c7=9
Naked Single: r5c7=8
Hidden Single: r1c1=5
Naked Single: r4c1=7
Full House: r4c8=5
Naked Single: r5c1=9
Naked Single: r6c2=8
Full House: r5c2=5
Naked Single: r3c2=6
Naked Single: r2c1=4
Naked Single: r3c9=4
Full House: r3c3=8
Full House: r2c3=7
Full House: r2c6=6
Full House: r1c8=6
Full House: r5c9=6
Full House: r1c5=4
Full House: r5c6=4
Full House: r6c4=6
Naked Single: r8c2=7
Full House: r7c2=9
Naked Single: r7c3=4
Full House: r8c3=5
Naked Single: r6c7=4
Full House: r6c8=7
Full House: r9c7=6
Naked Single: r8c5=6
Full House: r7c5=7
Naked Single: r7c8=8
Full House: r7c1=6
Full House: r8c1=8
Full House: r9c8=4
Full House: r8c4=4
Full House: r9c4=8
|
normal_sudoku_3658 | 9...2.31.4.1.37.2...3..9...5..38.26.3...6...1...79.43.6...431..749.....3135.78.42 | 957826314461537829823419756594381267378264591216795438682943175749152683135678942 | normal_sudoku_3658 | 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 . . . 2 . 3 1 .
4 . 1 . 3 7 . 2 .
. . 3 . . 9 . . .
5 . . 3 8 . 2 6 .
3 . . . 6 . . . 1
. . . 7 9 . 4 3 .
6 . . . 4 3 1 . .
7 4 9 . . . . . 3
1 3 5 . 7 8 . 4 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 957826314461537829823419756594381267378264591216795438682943175749152683135678942 #1 Hard (792)
Locked Candidates Type 1 (Pointing): 1 in b5 => r8c6<>1
Locked Candidates Type 1 (Pointing): 2 in b7 => r7c4<>2
Locked Candidates Type 1 (Pointing): 8 in b7 => r7c89<>8
Locked Candidates Type 1 (Pointing): 6 in b9 => r23c7<>6
W-Wing: 8/2 in r6c1,r7c2 connected by 2 in r3c12 => r56c2<>8
Uniqueness Test 4: 1/5 in r3c45,r8c45 => r38c4<>5
Finned X-Wing: 8 c19 r36 fr1c9 fr2c9 => r3c78<>8
Locked Pair: 5,7 in r3c78 => r123c9,r2c7,r3c25<>5, r13c9,r3c2<>7
Naked Single: r3c5=1
Full House: r8c5=5
Naked Single: r7c4=9
Naked Single: r8c8=8
Naked Single: r9c4=6
Full House: r9c7=9
Naked Single: r8c7=6
Naked Single: r8c6=2
Full House: r8c4=1
Naked Single: r2c7=8
Naked Single: r2c4=5
Naked Single: r2c2=6
Full House: r2c9=9
Naked Single: r4c9=7
Naked Single: r4c3=4
Naked Single: r5c7=5
Full House: r3c7=7
Naked Single: r7c9=5
Full House: r7c8=7
Naked Single: r4c6=1
Full House: r4c2=9
Naked Single: r5c6=4
Naked Single: r5c8=9
Full House: r6c9=8
Full House: r3c8=5
Naked Single: r6c6=5
Full House: r1c6=6
Full House: r5c4=2
Naked Single: r6c1=2
Full House: r3c1=8
Naked Single: r1c9=4
Full House: r3c9=6
Naked Single: r5c2=7
Full House: r5c3=8
Naked Single: r6c2=1
Full House: r6c3=6
Naked Single: r1c3=7
Full House: r7c3=2
Full House: r7c2=8
Naked Single: r3c2=2
Full House: r3c4=4
Full House: r1c4=8
Full House: r1c2=5
|
normal_sudoku_5617 | ..5.7316...6..48.7..7.6..3.8..3.674.54371..8676..483.1.74.8.6..95.6374..6..4...7. | 295873164136524897487169235819356742543712986762948351374285619951637428628491573 | normal_sudoku_5617 | 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 6 .
. . 6 . . 4 8 . 7
. . 7 . 6 . . 3 .
8 . . 3 . 6 7 4 .
5 4 3 7 1 . . 8 6
7 6 . . 4 8 3 . 1
. 7 4 . 8 . 6 . .
9 5 . 6 3 7 4 . .
6 . . 4 . . . 7 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 295873164136524897487169235819356742543712986762948351374285619951637428628491573 #1 Extreme (4822)
Locked Candidates Type 1 (Pointing): 8 in b1 => r9c2<>8
Locked Candidates Type 1 (Pointing): 9 in b1 => r4c2<>9
Empty Rectangle: 5 in b3 (r6c48) => r3c4<>5
Hidden Rectangle: 2/4 in r1c19,r3c19 => r3c9<>2
Hidden Rectangle: 2/8 in r8c39,r9c39 => r9c3<>2
Finned X-Wing: 5 c67 r39 fr7c6 => r9c5<>5
2-String Kite: 5 in r2c5,r6c8 (connected by r4c5,r6c4) => r2c8<>5
Locked Candidates Type 1 (Pointing): 5 in b3 => r3c6<>5
Locked Candidates Type 2 (Claiming): 5 in c6 => r7c4<>5
Forcing Chain Contradiction in r7c8 => r3c2<>1
r3c2=1 r2c12<>1 r2c4=1 r2c4<>5 r6c4=5 r6c8<>5 r7c8=5 r7c6<>5 r9c6=5 r9c6<>1 r7c46=1 r7c1<>1 r23c1=1 r3c2<>1
Forcing Chain Contradiction in r9c7 => r4c5<>2
r4c5=2 r5c6<>2 r5c7=2 r9c7<>2
r4c5=2 r4c5<>5 r4c9=5 r3c9<>5 r3c7=5 r9c7<>5
r4c5=2 r9c5<>2 r9c5=9 r9c7<>9
W-Wing: 9/2 in r5c7,r6c3 connected by 2 in r5c6,r6c4 => r6c8<>9
Discontinuous Nice Loop: 9 r2c4 -9- r2c8 -2- r6c8 -5- r6c4 =5= r2c4 => r2c4<>9
Finned Franken Swordfish: 2 c57b5 r359 fr2c5 fr6c4 => r3c4<>2
Finned Franken Swordfish: 9 c58b6 r249 fr5c7 fr7c8 => r9c7<>9
AIC: 2 2- r1c1 -4- r1c9 =4= r3c9 =5= r3c7 -5- r9c7 -2- r9c5 =2= r2c5 -2 => r1c4,r2c12<>2
Hidden Rectangle: 8/9 in r1c24,r3c24 => r3c2<>9
AIC: 8/9 9- r1c2 =9= r2c2 -9- r2c8 -2- r2c5 =2= r9c5 -2- r9c7 -5- r3c7 =5= r3c9 =4= r3c1 -4- r1c1 -2- r3c2 -8- r3c4 =8= r1c4 -8 => r1c2<>8, r1c4<>9
Naked Single: r1c4=8
Hidden Single: r3c2=8
AIC: 9 9- r1c2 =9= r1c9 =4= r3c9 =5= r3c7 -5- r9c7 -2- r9c5 =2= r2c5 -2- r2c8 -9 => r1c9,r2c2<>9
Hidden Single: r1c2=9
Locked Pair: 1,3 in r2c12 => r2c4,r3c1<>1
Locked Candidates Type 1 (Pointing): 2 in b1 => r7c1<>2
Uniqueness Test 1: 2/4 in r1c19,r3c19 => r3c9<>4
Hidden Single: r3c1=4
Naked Single: r1c1=2
Full House: r1c9=4
X-Wing: 2 r35 c67 => r79c6,r9c7<>2
Naked Single: r9c7=5
Hidden Single: r3c9=5
Hidden Single: r6c8=5
Hidden Single: r7c6=5
Hidden Single: r4c5=5
Hidden Single: r2c4=5
Remote Pair: 2/9 r4c9 -9- r5c7 -2- r3c7 -9- r2c8 -2- r2c5 -9- r9c5 => r9c9<>2, r9c9<>9
Locked Candidates Type 1 (Pointing): 9 in b9 => r7c4<>9
Remote Pair: 9/2 r3c7 -2- r5c7 -9- r5c6 -2- r6c4 => r3c4<>9
Naked Single: r3c4=1
Naked Single: r7c4=2
Full House: r6c4=9
Full House: r5c6=2
Full House: r6c3=2
Full House: r5c7=9
Full House: r3c7=2
Full House: r3c6=9
Full House: r4c9=2
Full House: r2c8=9
Full House: r2c5=2
Full House: r9c5=9
Full House: r9c6=1
Naked Single: r4c2=1
Full House: r4c3=9
Naked Single: r8c9=8
Naked Single: r7c8=1
Full House: r8c8=2
Full House: r8c3=1
Full House: r9c3=8
Naked Single: r2c2=3
Full House: r2c1=1
Full House: r7c1=3
Full House: r9c2=2
Full House: r9c9=3
Full House: r7c9=9
|
normal_sudoku_6094 | 8...9...61.64.79...9.6.3.7......2..1.8.1467...12..8....6...4.535..369....4..156.. | 837291546126457938495683172654972381389146725712538469961724853578369214243815697 | normal_sudoku_6094 | 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
1 . 6 4 . 7 9 . .
. 9 . 6 . 3 . 7 .
. . . . . 2 . . 1
. 8 . 1 4 6 7 . .
. 1 2 . . 8 . . .
. 6 . . . 4 . 5 3
5 . . 3 6 9 . . .
. 4 . . 1 5 6 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 837291546126457938495683172654972381389146725712538469961724853578369214243815697 #1 Extreme (2648)
Full House: r1c6=1
Hidden Single: r3c7=1
Hidden Single: r8c8=1
Hidden Single: r7c3=1
Hidden Single: r7c1=9
Naked Single: r5c1=3
Hidden Single: r9c3=3
Hidden Single: r8c3=8
Locked Candidates Type 1 (Pointing): 8 in b2 => r7c5<>8
Locked Candidates Type 2 (Claiming): 7 in r7 => r9c4<>7
Empty Rectangle: 5 in b3 (r5c39) => r1c3<>5
Discontinuous Nice Loop: 7 r4c1 -7- r9c1 -2- r9c4 -8- r7c4 =8= r7c7 -8- r4c7 =8= r4c8 =6= r4c1 => r4c1<>7
Hidden Rectangle: 4/6 in r4c18,r6c18 => r6c8<>4
Discontinuous Nice Loop: 4 r1c7 -4- r1c8 =4= r4c8 =8= r4c7 -8- r7c7 -2- r8c7 -4- r1c7 => r1c7<>4
Discontinuous Nice Loop: 2 r1c8 -2- r5c8 -9- r5c3 -5- r3c3 -4- r3c9 =4= r1c8 => r1c8<>2
Grouped AIC: 2 2- r1c4 -5- r1c7 =5= r46c7 -5- r5c9 =5= r5c3 -5- r3c3 -4- r3c1 -2 => r1c2,r3c5<>2
2-String Kite: 2 in r1c7,r7c5 (connected by r1c4,r2c5) => r7c7<>2
Naked Single: r7c7=8
Hidden Single: r4c8=8
Hidden Single: r9c4=8
Hidden Single: r1c8=4
Naked Single: r1c3=7
Hidden Single: r4c1=6
Hidden Single: r6c8=6
Hidden Single: r2c8=3
Hidden Single: r1c2=3
Swordfish: 2 r359 c189 => r28c9<>2
2-String Kite: 5 in r2c2,r5c9 (connected by r4c2,r5c3) => r2c9<>5
Naked Single: r2c9=8
Hidden Single: r3c5=8
X-Wing: 5 r35 c39 => r4c3,r6c9<>5
Turbot Fish: 5 r1c4 =5= r2c5 -5- r2c2 =5= r4c2 => r4c4<>5
W-Wing: 4/9 in r4c3,r6c9 connected by 9 in r46c4 => r4c7,r6c1<>4
Naked Single: r6c1=7
Naked Single: r4c2=5
Naked Single: r9c1=2
Full House: r3c1=4
Full House: r8c2=7
Full House: r2c2=2
Full House: r3c3=5
Full House: r2c5=5
Full House: r3c9=2
Full House: r1c4=2
Full House: r1c7=5
Naked Single: r4c7=3
Naked Single: r5c3=9
Full House: r4c3=4
Naked Single: r9c8=9
Full House: r5c8=2
Full House: r5c9=5
Full House: r9c9=7
Naked Single: r8c9=4
Full House: r6c9=9
Full House: r6c7=4
Full House: r8c7=2
Naked Single: r6c5=3
Full House: r6c4=5
Naked Single: r7c4=7
Full House: r4c4=9
Full House: r4c5=7
Full House: r7c5=2
|
normal_sudoku_1950 | 5....72....845..6..6.....5.6...1..42...2.4.76......1..4..9.16..2....64...36.4...9 | 513867294928453761764192358697315842351284976842679135475921683289536417136748529 | normal_sudoku_1950 | 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 2 . .
. . 8 4 5 . . 6 .
. 6 . . . . . 5 .
6 . . . 1 . . 4 2
. . . 2 . 4 . 7 6
. . . . . . 1 . .
4 . . 9 . 1 6 . .
2 . . . . 6 4 . .
. 3 6 . 4 . . . 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 513867294928453761764192358697315842351284976842679135475921683289536417136748529 #1 Extreme (19810) bf
Hidden Pair: 2,4 in r6c23 => r6c23<>5, r6c23<>7, r6c2<>8, r6c23<>9, r6c3<>3
Grouped Discontinuous Nice Loop: 5 r4c4 -5- r8c4 =5= r9c46 -5- r9c7 =5= r45c7 -5- r6c9 =5= r6c46 -5- r4c4 => r4c4<>5
Forcing Net Verity => r2c1<>1
r1c2=1 r2c1<>1
r1c2=4 r6c2<>4 r6c2=2 r2c2<>2 r2c6=2 r9c6<>2 r9c8=2 r9c8<>1 r9c1=1 r2c1<>1
r1c2=9 (r1c5<>9) (r2c1<>9) (r3c1<>9) r1c8<>9 r6c8=9 (r6c5<>9) r6c1<>9 r5c1=9 r5c5<>9 r3c5=9 r3c5<>2 r7c5=2 r9c6<>2 r9c8=2 r9c8<>1 r9c1=1 r2c1<>1
Discontinuous Nice Loop: 1 r3c9 -1- r2c9 =1= r2c2 =2= r3c3 =4= r3c9 => r3c9<>1
Forcing Net Contradiction in c7 => r2c2<>7
r2c2=7 (r3c1<>7) (r3c3<>7) r2c2<>2 r2c6=2 (r3c5<>2) r3c6<>2 r3c3=2 r3c3<>4 r3c9=4 r3c9<>7 r3c7=7
r2c2=7 (r4c2<>7) (r2c1<>7) (r3c1<>7) r2c2<>2 r2c6=2 r9c6<>2 r9c8=2 r9c8<>1 r9c1=1 (r9c1<>7) r9c1<>7 r6c1=7 r4c3<>7 r4c4=7 r9c4<>7 r9c7=7
Forcing Net Verity => r3c1<>1
r1c2=1 r3c1<>1
r1c2=4 r6c2<>4 r6c2=2 r2c2<>2 r2c6=2 r9c6<>2 r9c8=2 r9c8<>1 r9c1=1 r3c1<>1
r1c2=9 (r1c5<>9) (r2c1<>9) (r3c1<>9) r1c8<>9 r6c8=9 (r6c5<>9) r6c1<>9 r5c1=9 r5c5<>9 r3c5=9 r3c5<>2 r7c5=2 r9c6<>2 r9c8=2 r9c8<>1 r9c1=1 r3c1<>1
Forcing Net Contradiction in r8c3 => r3c4<>3
r3c4=3 r3c4<>1 r3c3=1 (r1c2<>1) r3c3<>2 r6c3=2 r6c2<>2 r6c2=4 r1c2<>4 r1c2=9 (r8c2<>9 r8c3=9 r4c3<>9 r4c6=9 r2c6<>9) r1c2<>4 r6c2=4 r6c2<>2 r2c2=2 r2c6<>2 r2c6=3 r3c4<>3
Forcing Net Contradiction in b1 => r4c4<>7
r4c4=7 (r9c4<>7) (r6c4<>7) r6c5<>7 r6c1=7 (r2c1<>7) r9c1<>7 r9c7=7 r2c7<>7 r2c9=7 r2c9<>1 r2c2=1 r2c2<>2
r4c4=7 (r6c4<>7) r6c5<>7 r6c1=7 (r2c1<>7) r3c1<>7 r3c3=7 r3c3<>2
Locked Candidates Type 1 (Pointing): 7 in b5 => r6c1<>7
Hidden Pair: 6,7 in r6c45 => r6c45<>3, r6c4<>5, r6c45<>8, r6c5<>9
Locked Candidates Type 1 (Pointing): 5 in b5 => r9c6<>5
Forcing Net Verity => r8c2<>1
r1c2=1 r8c2<>1
r1c2=4 r6c2<>4 r6c2=2 r2c2<>2 r2c6=2 r9c6<>2 r9c8=2 r9c8<>1 r9c1=1 r8c2<>1
r1c2=9 (r2c1<>9) (r3c1<>9) r1c8<>9 r6c8=9 r6c1<>9 r5c1=9 r5c1<>1 r9c1=1 r8c2<>1
Forcing Net Contradiction in c7 => r3c4=1
r3c4<>1 r3c3=1 (r1c2<>1) r3c3<>2 r6c3=2 r6c2<>2 (r2c2=2 r2c2<>9) r6c2=4 r1c2<>4 r1c2=9 (r2c1<>9) (r4c2<>9) (r1c8<>9 r6c8=9 r4c7<>9) r8c2<>9 r8c3=9 r4c3<>9 r4c6=9 r2c6<>9 r2c7=9 r2c7<>3
r3c4<>1 r3c3=1 (r1c2<>1) r3c3<>2 r6c3=2 r6c2<>2 (r2c2=2 r2c6<>2 r2c6=3 r2c1<>3) r6c2=4 r1c2<>4 (r1c3=4 r1c3<>3 r5c3=3 r5c1<>3) r1c2=9 (r2c1<>9) (r3c1<>9) r1c8<>9 r6c8=9 r6c1<>9 r5c1=9 (r5c1<>8) r5c1<>1 r9c1=1 r9c1<>8 r6c1=8 r6c1<>3 r3c1=3 r3c7<>3
r3c4<>1 r3c4=8 r4c4<>8 r4c4=3 r4c7<>3
r3c4<>1 (r3c4=8 r4c4<>8 r4c4=3 r4c3<>3) r3c3=1 (r3c3<>3) (r3c3<>4 r3c9=4 r1c9<>4) r3c3<>2 r6c3=2 r6c2<>2 r6c2=4 r1c2<>4 r1c3=4 r1c3<>3 r5c3=3 r5c7<>3
Forcing Net Contradiction in c7 => r1c2<>9
r1c2=9 (r8c2<>9 r8c3=9 r4c3<>9 r4c6=9 r2c6<>9) r1c2<>4 r6c2=4 r6c2<>2 r2c2=2 r2c6<>2 r2c6=3 r2c7<>3
r1c2=9 (r1c2<>4 r6c2=4 r6c2<>2 r2c2=2 r2c6<>2 r2c6=3 r2c1<>3) (r2c1<>9) (r3c1<>9) r1c8<>9 r6c8=9 r6c1<>9 r5c1=9 (r5c1<>3) (r5c1<>8) r5c1<>1 r9c1=1 r9c1<>8 r6c1=8 r6c1<>3 r3c1=3 r3c7<>3
r1c2=9 (r8c2<>9 r8c3=9 r4c3<>9 r4c6=9 r4c6<>5 r6c6=5 r6c9<>5) (r2c1<>9) (r3c1<>9) r1c8<>9 r6c8=9 r6c1<>9 r5c1=9 (r5c1<>8) r5c1<>1 r9c1=1 r9c1<>8 r6c1=8 r6c9<>8 r6c9=3 r4c7<>3
r1c2=9 (r8c2<>9 r8c3=9 r4c3<>9 r4c6=9 r4c6<>5 r6c6=5 r6c9<>5) (r2c1<>9) (r3c1<>9) r1c8<>9 r6c8=9 r6c1<>9 r5c1=9 (r5c1<>8) r5c1<>1 r9c1=1 r9c1<>8 r6c1=8 r6c9<>8 r6c9=3 r5c7<>3
Forcing Net Contradiction in r9c7 => r9c7<>8
r9c7=8 (r9c1<>8) (r9c8<>8) r9c6<>8 r9c6=2 r9c8<>2 r9c8=1 r9c1<>1 r5c1=1 r5c1<>8 r6c1=8 r6c89<>8 r45c7=8 r9c7<>8
Forcing Net Contradiction in r9c8 => r3c3<>7
r3c3=7 (r2c1<>7) r3c1<>7 r9c1=7 r9c1<>1 r9c8=1
r3c3=7 (r2c1<>7) r3c1<>7 r9c1=7 (r9c1<>1 r5c1=1 r5c1<>8 r6c1=8 r6c6<>8) (r9c4<>7) r9c7<>7 r9c7=5 (r4c7<>5 r4c6=5 r4c6<>8 r4c7=8 r5c7<>8 r5c5=8 r5c5<>9) (r4c7<>5 r4c6=5 r6c6<>5) r9c4<>5 r9c4=8 r4c4<>8 r4c4=3 r6c6<>3 r6c6=9 r6c8<>9 r1c8=9 r1c5<>9 r3c5=9 r3c5<>2 r7c5=2 r9c6<>2 r9c8=2
Locked Candidates Type 1 (Pointing): 7 in b1 => r9c1<>7
Naked Triple: 1,2,8 in r9c168 => r9c4<>8
Brute Force: r5c5=8
Naked Single: r4c4=3
Locked Candidates Type 1 (Pointing): 9 in b5 => r23c6<>9
Locked Candidates Type 1 (Pointing): 3 in b8 => r13c5<>3
Finned Swordfish: 3 c167 r235 fr6c1 => r5c3<>3
Locked Candidates Type 1 (Pointing): 3 in b4 => r23c1<>3
Locked Pair: 7,9 in r23c1 => r13c3,r2c2,r56c1<>9
Naked Triple: 1,2,4 in r126c2 => r5c2<>1
Locked Candidates Type 2 (Claiming): 1 in c2 => r1c3<>1
XYZ-Wing: 5/7/9 in r47c3,r5c2 => r5c3<>5
Hidden Rectangle: 3/4 in r1c39,r3c39 => r3c9<>3
Sashimi Swordfish: 8 c167 r349 fr6c1 => r4c2<>8
Hidden Single: r4c7=8
Hidden Single: r6c1=8
Naked Single: r9c1=1
Naked Single: r5c1=3
Hidden Single: r5c3=1
Locked Candidates Type 2 (Claiming): 3 in c7 => r1c89,r2c9<>3
Hidden Single: r1c3=3
Skyscraper: 8 in r3c9,r9c8 (connected by r39c6) => r1c8,r78c9<>8
Hidden Pair: 4,8 in r13c9 => r1c9<>1, r3c9<>7
XY-Wing: 1/7/9 in r1c8,r2c19 => r2c7<>9
Hidden Single: r2c1=9
Full House: r3c1=7
XY-Wing: 2/9/3 in r2c6,r3c57 => r2c7,r3c6<>3
Naked Single: r2c7=7
Naked Single: r2c9=1
Naked Single: r9c7=5
Naked Single: r1c8=9
Naked Single: r2c2=2
Full House: r2c6=3
Naked Single: r5c7=9
Full House: r3c7=3
Full House: r5c2=5
Naked Single: r9c4=7
Naked Single: r1c5=6
Naked Single: r6c8=3
Full House: r6c9=5
Naked Single: r3c3=4
Full House: r1c2=1
Naked Single: r6c2=4
Naked Single: r6c4=6
Naked Single: r8c5=3
Naked Single: r1c4=8
Full House: r1c9=4
Full House: r3c9=8
Full House: r8c4=5
Naked Single: r6c5=7
Naked Single: r6c6=9
Full House: r6c3=2
Full House: r4c6=5
Naked Single: r7c5=2
Full House: r3c5=9
Full House: r3c6=2
Full House: r9c6=8
Full House: r9c8=2
Naked Single: r8c9=7
Full House: r7c9=3
Naked Single: r7c8=8
Full House: r8c8=1
Naked Single: r8c3=9
Full House: r8c2=8
Naked Single: r7c2=7
Full House: r4c2=9
Full House: r4c3=7
Full House: r7c3=5
|
normal_sudoku_1071 | 5...8...9..1..2....9.5.3...81.2.......5.71..876.....4..5..6...71......3...7..94.. | 534687129671492583298513674813246795425971368769835241952364817146758932387129456 | normal_sudoku_1071 | 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 . . . 9
. . 1 . . 2 . . .
. 9 . 5 . 3 . . .
8 1 . 2 . . . . .
. . 5 . 7 1 . . 8
7 6 . . . . . 4 .
. 5 . . 6 . . . 7
1 . . . . . . 3 .
. . 7 . . 9 4 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 534687129671492583298513674813246795425971368769835241952364817146758932387129456 #1 Extreme (17382)
Locked Candidates Type 2 (Claiming): 7 in r3 => r1c78,r2c78<>7
2-String Kite: 9 in r5c1,r8c7 (connected by r7c1,r8c3) => r5c7<>9
Almost Locked Set XZ-Rule: A=r2346c5 {13459}, B=r67c6 {458}, X=5, Z=4 => r8c5<>4
Forcing Net Contradiction in r3 => r3c7<>1
r3c7=1 r3c5<>1 r9c5=1 (r9c5<>5) r9c5<>2 r8c5=2 (r8c9<>2) r8c5<>5 r8c6=5 r8c9<>5 r8c9=6 (r9c8<>6) r9c9<>6 r9c1=6 r3c1<>6
r3c7=1 (r3c7<>8) r3c7<>7 r3c8=7 r3c8<>8 r3c3=8 r3c3<>6
r3c7=1 r3c7<>6
r3c7=1 r3c7<>7 r3c8=7 r3c8<>6
r3c7=1 r3c5<>1 r9c5=1 (r9c5<>5) r9c5<>2 r8c5=2 (r8c9<>2) r8c5<>5 r8c6=5 r8c9<>5 r8c9=6 r3c9<>6
Forcing Net Contradiction in r3 => r3c8<>1
r3c8=1 r3c5<>1 r9c5=1 (r9c5<>5) r9c5<>2 r8c5=2 (r8c9<>2) r8c5<>5 r8c6=5 r8c9<>5 r8c9=6 (r9c8<>6) r9c9<>6 r9c1=6 r3c1<>6
r3c8=1 (r3c8<>8) r3c8<>7 r3c7=7 r3c7<>8 r3c3=8 r3c3<>6
r3c8=1 r3c8<>7 r3c7=7 r3c7<>6
r3c8=1 r3c8<>6
r3c8=1 r3c5<>1 r9c5=1 (r9c5<>5) r9c5<>2 r8c5=2 (r8c9<>2) r8c5<>5 r8c6=5 r8c9<>5 r8c9=6 r3c9<>6
Forcing Net Contradiction in r7c7 => r3c8<>8
r3c8=8 (r9c8<>8) (r2c7<>8) r2c8<>8 r2c2=8 r9c2<>8 r9c4=8 (r8c4<>8) r7c6<>8 r7c6=4 r8c4<>4 r8c4=7 r2c4<>7 r2c2=7 r2c2<>8 r3c3=8 r3c8<>8
Forcing Net Contradiction in c2 => r4c5<>5
r4c5=5 (r4c5<>4) r6c6<>5 r6c6=8 r7c6<>8 r7c6=4 (r1c6<>4) r4c6<>4 r4c3=4 (r1c3<>4) (r5c1<>4) r5c2<>4 r5c4=4 r1c4<>4 r1c2=4
r4c5=5 (r4c5<>4) r6c6<>5 (r8c6=5 r8c6<>4) r6c6=8 r7c6<>8 r7c6=4 (r8c4<>4) r4c6<>4 r4c3=4 r8c3<>4 r8c2=4
Forcing Net Contradiction in c3 => r6c7<>9
r6c7=9 (r4c7<>9) (r4c8<>9) r8c7<>9 r8c3=9 r4c3<>9 r4c5=9 r2c5<>9 r2c4=9 r2c4<>6 r1c46=6 r1c3<>6
r6c7=9 (r4c7<>9) (r4c8<>9) r8c7<>9 r8c3=9 r4c3<>9 r4c5=9 r2c5<>9 r2c4=9 r2c4<>7 r2c2=7 r2c2<>8 r3c3=8 r3c3<>6
r6c7=9 r8c7<>9 r8c3=9 r8c3<>6
Forcing Net Verity => r6c4<>3
r4c5=9 (r4c5<>4) (r2c5<>9 r2c5=4 r2c1<>4) (r2c5<>9 r2c5=4 r2c9<>4 r3c9=4 r3c1<>4) (r4c7<>9) r4c8<>9 r5c8=9 r5c1<>9 r7c1=9 r7c1<>4 r5c1=4 r4c3<>4 r4c6=4 r7c6<>4 r7c6=8 r6c6<>8 r6c4=8 r6c4<>3
r5c4=9 (r5c1<>9 r7c1=9 r7c1<>3) (r6c5<>9 r6c3=9 r4c3<>9) (r5c4<>4) r5c4<>6 r4c6=6 r4c6<>4 r4c5=4 r4c3<>4 r4c3=3 r7c3<>3 r7c4=3 r6c4<>3
r6c4=9 r6c4<>3
r6c5=9 (r4c5<>9) r2c5<>9 r2c5=4 r4c5<>4 r4c5=3 r6c4<>3
Forcing Net Verity => r3c3<>2
r3c3=8 r3c3<>2
r7c3=8 (r7c6<>8 r7c6=4 r4c6<>4) (r7c6<>8 r7c6=4 r1c6<>4) r3c3<>8 r3c7=8 (r2c7<>8) r2c8<>8 r2c2=8 r2c2<>7 r2c4=7 r1c6<>7 r1c6=6 r4c6<>6 r4c6=5 (r6c5<>5) r6c6<>5 r6c6=8 r6c4<>8 r6c4=9 (r6c3<>9) r6c5<>9 r6c5=3 r6c3<>3 r6c3=2 r3c3<>2
r8c3=8 (r3c3<>8 r3c7=8 r3c7<>6) (r8c3<>6 r9c1=6 r3c1<>6) (r3c3<>8 r3c7=8 r3c7<>7 r3c8=7 r3c8<>6) (r8c3<>6) r8c3<>9 r8c7=9 r8c7<>6 r8c9=6 r3c9<>6 r3c3=6 r3c3<>2
Forcing Net Contradiction in r8 => r7c4<>4
r7c4=4 (r8c4<>4) r7c6<>4 r7c6=8 r8c4<>8 r8c4=7
r7c4=4 (r8c6<>4) r7c6<>4 r7c6=8 (r8c6<>8) r6c6<>8 r6c6=5 r8c6<>5 r8c6=7
Forcing Net Contradiction in c1 => r3c5=1
r3c5<>1 r3c5=4 r3c9<>4 r2c9=4 r2c1<>4
r3c5<>1 r3c5=4 r3c1<>4
r3c5<>1 (r3c5=4 r1c4<>4) (r3c5=4 r2c4<>4) r9c5=1 (r9c5<>5) r9c5<>2 r8c5=2 r8c5<>5 r6c5=5 (r4c6<>5) r6c6<>5 r8c6=5 r8c6<>7 r8c4=7 r8c4<>4 r5c4=4 r5c1<>4
r3c5<>1 r9c5=1 (r9c5<>5) r9c5<>2 r8c5=2 r8c5<>5 r6c5=5 r6c6<>5 r6c6=8 r7c6<>8 r7c6=4 r7c1<>4
Forcing Net Contradiction in r1 => r8c3<>8
r8c3=8 r3c3<>8 r3c7=8 (r2c7<>8) r2c8<>8 r2c2=8 r2c2<>7 r2c4=7 (r1c4<>7) r1c6<>7 r1c2=7 r1c2<>3
r8c3=8 r3c3<>8 r3c7=8 (r2c7<>8) r2c8<>8 r2c2=8 r2c2<>7 r2c4=7 (r8c4<>7 r8c4=4 r8c2<>4 r5c2=4 r4c3<>4) (r8c4<>7 r8c4=4 r7c6<>4) (r8c4<>7 r8c4=4 r8c6<>4) r2c4<>9 r2c5=9 (r6c5<>9) r2c5<>4 r4c5=4 r4c6<>4 r1c6=4 r7c6<>4 r7c6=8 r6c6<>8 r6c4=8 r6c4<>9 r6c3=9 r4c3<>9 r4c3=3 r1c3<>3
r8c3=8 r3c3<>8 r3c7=8 (r2c7<>8) r2c8<>8 r2c2=8 r2c2<>7 r2c4=7 (r2c4<>9) (r8c4<>7 r8c4=4 r7c6<>4) (r8c4<>7 r8c4=4 r8c6<>4) r2c4<>9 r2c5=9 r2c5<>4 r4c5=4 r4c6<>4 r1c6=4 r7c6<>4 r7c6=8 r6c6<>8 (r6c6=5 r6c5<>5 r6c5=3 r6c9<>3) r6c4=8 r6c4<>9 r5c4=9 r2c4<>9 r2c5=9 r2c5<>4 r4c5=4 r4c3<>4 r4c3=3 (r4c3<>9) r4c9<>3 r2c9=3 r1c7<>3
Forcing Net Contradiction in c7 => r1c6<>4
r1c6=4 (r2c5<>4 r2c5=9 r2c4<>9) r7c6<>4 r7c6=8 r6c6<>8 (r6c6=5 r6c7<>5) r6c4=8 r6c4<>9 (r6c3=9 r8c3<>9 r8c7=9 r8c7<>5) r5c4=9 (r5c8<>9) r5c1<>9 r7c1=9 r7c8<>9 r4c8=9 r4c8<>7 r4c7=7 r4c7<>5 r2c7=5 r2c7<>8
r1c6=4 r7c6<>4 r7c6=8 r7c3<>8 r3c3=8 r3c7<>8
r1c6=4 r7c6<>4 r7c6=8 r7c7<>8
r1c6=4 (r2c5<>4 r2c5=9 r6c5<>9) r7c6<>4 r7c6=8 r6c6<>8 r6c4=8 r6c4<>9 r6c3=9 r8c3<>9 r8c7=9 r8c7<>8
Forcing Net Contradiction in r7 => r2c2<>3
r2c2=3 r2c2<>7 r2c4=7 (r8c4<>7 r8c6=7 r8c6<>4) r2c4<>9 r2c5=9 r2c5<>4 r4c5=4 r4c6<>4 r7c6=4 r7c1<>4 r7c3=4
r2c2=3 r2c2<>7 r2c4=7 (r8c4<>7 r8c6=7 r8c6<>4) r2c4<>9 r2c5=9 r2c5<>4 r4c5=4 r4c6<>4 r7c6=4
Forcing Net Contradiction in r8 => r2c2<>4
r2c2=4 (r2c2<>8 r3c3=8 r3c3<>6) r2c2<>7 r2c4=7 r1c6<>7 r1c6=6 r1c3<>6 r8c3=6
r2c2=4 (r8c2<>4) (r1c3<>4 r1c4=4 r8c4<>4) r2c2<>7 r2c4=7 r8c4<>7 r8c4=8 r8c2<>8 r8c2=2 (r8c9<>2) r8c5<>2 r8c5=5 r8c9<>5 r8c9=6
Forcing Net Contradiction in c3 => r8c7<>8
r8c7=8 (r3c7<>8 r3c3=8 r3c3<>6) r8c7<>9 r8c3=9 r8c3<>6 r1c3=6 r1c3<>4
r8c7=8 r3c7<>8 r3c3=8 r3c3<>4
r8c7=8 (r3c7<>8 r3c3=8 r3c3<>6) r8c7<>9 r8c3=9 r8c3<>6 r1c3=6 (r1c4<>6) r1c6<>6 r1c6=7 r1c4<>7 r1c4=4 r2c5<>4 r4c5=4 r4c3<>4
r8c7=8 (r3c7<>8 r3c3=8 r3c3<>6) r8c7<>9 r8c3=9 (r6c3<>9) r8c3<>6 r1c3=6 (r1c4<>6) r1c6<>6 r4c6=6 r5c4<>6 r2c4=6 r2c4<>9 r2c5=9 r6c5<>9 r6c4=9 r6c4<>8 r6c6=8 r7c6<>8 r7c6=4 r7c3<>4
r8c7=8 r8c7<>9 r8c3=9 r8c3<>4
Forcing Net Contradiction in c9 => r7c4<>8
r7c4=8 (r7c8<>8 r9c8=8 r2c8<>8 r2c7=8 r2c7<>3) (r7c4<>3) r7c4<>1 r9c4=1 r9c4<>3 r5c4=3 (r5c2<>3) (r4c5<>3) r6c5<>3 r9c5=3 r9c2<>3 r1c2=3 r2c1<>3 r2c9=3
r7c4=8 (r7c3<>8 r3c3=8 r2c2<>8 r2c2=7 r1c2<>7 r1c6=7 r1c6<>6 r4c6=6 r4c9<>6) (r7c8<>8 r9c8=8 r9c8<>5) (r7c4<>3) r7c4<>1 r9c4=1 r9c4<>3 r5c4=3 (r4c5<>3) r6c5<>3 r9c5=3 r9c5<>5 r9c9=5 r4c9<>5 r4c9=3
Forcing Net Contradiction in c9 => r5c4<>3
r5c4=3 (r6c5<>3 r9c5=3 r9c5<>2 r8c5=2 r8c3<>2) (r9c4<>3) r7c4<>3 r7c4=1 r9c4<>1 r9c4=8 (r9c2<>8 r9c2=2 r7c1<>2) (r9c2<>8 r9c2=2 r9c1<>2) (r9c2<>8 r9c2=2 r7c3<>2) (r7c6<>8 r7c6=4 r8c4<>4) (r7c6<>8 r7c6=4 r8c6<>4) (r8c4<>8) r8c6<>8 r8c2=8 (r7c3<>8 r3c3=8 r3c3<>6) r8c2<>4 r8c3=4 r8c3<>6 r1c3=6 r1c3<>2 r6c3=2 r5c1<>2 r3c1=2 r3c9<>2
r5c4=3 (r6c5<>3 r9c5=3 r9c5<>2 r8c5=2 r8c3<>2) (r9c4<>3) r7c4<>3 r7c4=1 r9c4<>1 r9c4=8 (r9c2<>8 r9c2=2 r7c3<>2) (r7c6<>8 r7c6=4 r8c4<>4) (r7c6<>8 r7c6=4 r8c6<>4) (r8c4<>8) r8c6<>8 r8c2=8 (r7c3<>8 r3c3=8 r3c3<>6) r8c2<>4 r8c3=4 r8c3<>6 r1c3=6 r1c3<>2 r6c3=2 r6c9<>2
r5c4=3 (r4c5<>3) r6c5<>3 r9c5=3 r9c5<>2 r8c5=2 r8c9<>2
r5c4=3 (r6c5<>3 r9c5=3 r9c2<>3) (r9c4<>3) r7c4<>3 r7c4=1 r9c4<>1 r9c4=8 r9c2<>8 r9c2=2 r9c9<>2
Locked Candidates Type 1 (Pointing): 3 in b5 => r9c5<>3
Locked Pair: 2,5 in r89c5 => r6c5,r8c6<>5
Naked Triple: 4,7,8 in r78c6,r8c4 => r9c4<>8
Forcing Net Contradiction in c1 => r1c3<>6
r1c3=6 (r1c4<>6) r1c6<>6 (r4c6=6 r5c4<>6 r2c4=6 r2c4<>9 r2c5=9 r4c5<>9) (r4c6=6 r5c4<>6) r1c6=7 r1c4<>7 r1c4=4 r5c4<>4 r5c4=9 (r6c4<>9 r6c3=9 r4c3<>9) r6c5<>9 r6c5=3 (r6c9<>3) r4c5<>3 r4c5=4 r4c3<>4 r4c3=3 r4c9<>3 r2c9=3 r2c1<>3
r1c3=6 (r1c4<>6) r1c6<>6 (r4c6=6 r5c4<>6 r2c4=6 r2c4<>9 r2c5=9 r4c5<>9) (r4c6=6 r5c4<>6) r1c6=7 r1c4<>7 r1c4=4 r5c4<>4 r5c4=9 (r6c4<>9 r6c3=9 r4c3<>9) r6c5<>9 r6c5=3 r4c5<>3 r4c5=4 r4c3<>4 r4c3=3 r5c1<>3
r1c3=6 (r1c4<>6) r1c6<>6 (r4c6=6 r5c4<>6) r1c6=7 r1c4<>7 r1c4=4 r5c4<>4 r5c4=9 r5c1<>9 r7c1=9 r7c1<>3
r1c3=6 (r2c1<>6) r3c1<>6 r9c1=6 r9c1<>3
Discontinuous Nice Loop: 9 r4c7 -9- r8c7 =9= r8c3 =6= r3c3 =8= r3c7 =7= r4c7 => r4c7<>9
Locked Candidates Type 1 (Pointing): 9 in b6 => r7c8<>9
Forcing Net Contradiction in c9 => r7c6=4
r7c6<>4 r7c6=8 (r6c6<>8 r6c4=8 r6c4<>9) (r6c6<>8 r6c6=5 r6c7<>5) (r7c8<>8 r9c8=8 r2c8<>8 r2c7=8 r2c7<>5) r7c3<>8 r3c3=8 r3c3<>6 r8c3=6 r8c3<>9 r8c7=9 r8c7<>5 r4c7=5 r4c7<>7 r4c8=7 r4c8<>9 r5c8=9 r5c4<>9 r2c4=9 r2c5<>9 r2c5=4 r2c9<>4 r3c9=4 r3c9<>2
r7c6<>4 r7c6=8 (r7c8<>8 r9c8=8 r9c8<>6) r7c3<>8 r3c3=8 r3c3<>6 r8c3=6 r9c1<>6 r9c9=6 r9c9<>1 r6c9=1 r6c9<>2
r7c6<>4 r7c6=8 (r7c8<>8 r9c8=8 r9c8<>5) (r7c8<>8 r9c8=8 r9c8<>6) r7c3<>8 r3c3=8 r3c3<>6 r8c3=6 (r8c3<>9 r8c7=9 r8c7<>5) r9c1<>6 r9c9=6 r9c9<>5 r9c5=5 r8c5<>5 r8c9=5 r8c9<>2
r7c6<>4 r7c6=8 (r7c8<>8 r9c8=8 r9c8<>6) r7c3<>8 r3c3=8 r3c3<>6 r8c3=6 r9c1<>6 r9c9=6 r9c9<>2
Locked Candidates Type 1 (Pointing): 8 in b8 => r8c2<>8
Finned Swordfish: 4 r148 c235 fr1c4 => r2c5<>4
Naked Single: r2c5=9
Naked Single: r6c5=3
Naked Single: r4c5=4
Discontinuous Nice Loop: 2/5/6 r8c7 =9= r8c3 =4= r8c2 -4- r5c2 =4= r5c1 =9= r7c1 -9- r7c7 =9= r8c7 => r8c7<>2, r8c7<>5, r8c7<>6
Naked Single: r8c7=9
Discontinuous Nice Loop: 2/3 r7c1 =9= r7c3 =8= r3c3 =6= r8c3 =4= r8c2 -4- r5c2 =4= r5c1 =9= r7c1 => r7c1<>2, r7c1<>3
Naked Single: r7c1=9
Discontinuous Nice Loop: 4 r1c2 -4- r8c2 =4= r8c3 =6= r3c3 =8= r2c2 =7= r1c2 => r1c2<>4
Discontinuous Nice Loop: 5 r4c7 -5- r4c6 -6- r5c4 -9- r5c8 =9= r4c8 =7= r4c7 => r4c7<>5
Discontinuous Nice Loop: 2 r5c1 -2- r6c3 -9- r6c4 -8- r8c4 -7- r2c4 =7= r2c2 =8= r3c3 =6= r8c3 =4= r8c2 -4- r5c2 =4= r5c1 => r5c1<>2
Discontinuous Nice Loop: 4 r3c1 -4- r5c1 =4= r5c2 -4- r8c2 -2- r9c1 =2= r3c1 => r3c1<>4
Discontinuous Nice Loop: 5 r4c8 -5- r4c6 -6- r5c4 -9- r5c8 =9= r4c8 => r4c8<>5
Discontinuous Nice Loop: 2 r1c3 -2- r6c3 -9- r6c4 -8- r6c6 -5- r6c7 =5= r2c7 -5- r2c8 =5= r9c8 -5- r9c5 -2- r9c1 =2= r3c1 -2- r1c3 => r1c3<>2
Finned Swordfish: 2 r157 c278 fr7c3 => r89c2<>2
Naked Single: r8c2=4
Hidden Single: r5c1=4
Sue de Coq: r1c23 - {2347} (r1c46 - {467}, r23c1 - {236}) => r1c78,r3c3<>6
Hidden Single: r8c3=6
Locked Candidates Type 2 (Claiming): 6 in r1 => r2c4<>6
W-Wing: 3/2 in r5c2,r9c1 connected by 2 in r67c3 => r9c2<>3
Naked Single: r9c2=8
Naked Single: r2c2=7
Naked Single: r2c4=4
Hidden Single: r3c3=8
Hidden Single: r1c3=4
Hidden Single: r3c9=4
X-Wing: 3 r15 c27 => r24c7<>3
Uniqueness Test 1: 2/5 in r8c59,r9c59 => r9c9<>2, r9c9<>5
Skyscraper: 2 in r7c3,r8c9 (connected by r6c39) => r7c78<>2
Hidden Single: r7c3=2
Full House: r9c1=3
Naked Single: r6c3=9
Full House: r4c3=3
Full House: r5c2=2
Full House: r1c2=3
Naked Single: r2c1=6
Full House: r3c1=2
Naked Single: r9c4=1
Naked Single: r6c4=8
Naked Single: r7c4=3
Naked Single: r9c9=6
Naked Single: r6c6=5
Naked Single: r8c4=7
Naked Single: r4c9=5
Naked Single: r4c6=6
Full House: r5c4=9
Full House: r1c4=6
Full House: r1c6=7
Full House: r8c6=8
Naked Single: r2c9=3
Naked Single: r8c9=2
Full House: r6c9=1
Full House: r8c5=5
Full House: r6c7=2
Full House: r9c5=2
Full House: r9c8=5
Naked Single: r4c7=7
Full House: r4c8=9
Naked Single: r5c8=6
Full House: r5c7=3
Naked Single: r1c7=1
Full House: r1c8=2
Naked Single: r2c8=8
Full House: r2c7=5
Naked Single: r3c7=6
Full House: r3c8=7
Full House: r7c7=8
Full House: r7c8=1
|
normal_sudoku_5619 | .6.28.4.5..8..632......78...5.87421..246.97588..52.9.46....25....54681.2.....56.. | 761283495598146327243957861359874216124639758876521934687312549935468172412795683 | normal_sudoku_5619 | 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 8 . 4 . 5
. . 8 . . 6 3 2 .
. . . . . 7 8 . .
. 5 . 8 7 4 2 1 .
. 2 4 6 . 9 7 5 8
8 . . 5 2 . 9 . 4
6 . . . . 2 5 . .
. . 5 4 6 8 1 . 2
. . . . . 5 6 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 761283495598146327243957861359874216124639758876521934687312549935468172412795683 #1 Hard (994)
Naked Triple: 1,3,9 in r1c6,r23c4 => r23c5<>1, r23c5<>9, r3c5<>3
Locked Candidates Type 1 (Pointing): 9 in b2 => r79c4<>9
Naked Triple: 3,7,9 in r79c9,r8c8 => r79c8<>3, r79c8<>7, r79c8<>9
Hidden Pair: 4,8 in r7c28 => r7c2<>1, r7c2<>3, r7c2<>7, r7c2<>9
Hidden Triple: 2,4,5 in r239c1 => r239c1<>1, r29c1<>7, r239c1<>9, r39c1<>3
Naked Pair: 4,5 in r2c15 => r2c2<>4
X-Wing: 7 c18 r18 => r1c3,r8c2<>7
Remote Pair: 1/3 r1c6 -3- r6c6 -1- r5c5 -3- r5c1 => r1c1<>1, r1c1<>3
Hidden Single: r5c1=1
Full House: r5c5=3
Full House: r6c6=1
Full House: r1c6=3
Hidden Single: r1c3=1
Hidden Single: r9c2=1
Naked Single: r9c5=9
Naked Single: r7c5=1
Hidden Single: r9c8=8
Naked Single: r7c8=4
Naked Single: r7c2=8
Hidden Single: r9c1=4
Naked Single: r2c1=5
Naked Single: r2c5=4
Full House: r3c5=5
Naked Single: r3c1=2
Hidden Single: r3c2=4
Hidden Single: r9c3=2
Hidden Single: r3c3=3
Locked Candidates Type 1 (Pointing): 3 in b7 => r8c8<>3
Hidden Single: r6c8=3
Full House: r4c9=6
Naked Single: r6c2=7
Full House: r6c3=6
Naked Single: r4c3=9
Full House: r4c1=3
Full House: r7c3=7
Naked Single: r2c2=9
Full House: r1c1=7
Full House: r8c1=9
Full House: r8c2=3
Full House: r1c8=9
Full House: r8c8=7
Full House: r3c8=6
Naked Single: r7c4=3
Full House: r7c9=9
Full House: r9c9=3
Full House: r9c4=7
Naked Single: r2c4=1
Full House: r2c9=7
Full House: r3c9=1
Full House: r3c4=9
|
normal_sudoku_2408 | .36547.2...1836.7.847129563...6.4....65.8.....923.5.1..84.1....6.37..2.4..9...1.. | 936547821251836479847129563178694352365281947492375618584912736613758294729463185 | normal_sudoku_2408 | 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 6 5 4 7 . 2 .
. . 1 8 3 6 . 7 .
8 4 7 1 2 9 5 6 3
. . . 6 . 4 . . .
. 6 5 . 8 . . . .
. 9 2 3 . 5 . 1 .
. 8 4 . 1 . . . .
6 . 3 7 . . 2 . 4
. . 9 . . . 1 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 936547821251836479847129563178694352365281947492375618584912736613758294729463185 #1 Easy (164)
Full House: r4c3=8
Naked Single: r1c1=9
Naked Single: r6c5=7
Naked Single: r8c6=8
Naked Single: r2c9=9
Naked Single: r1c7=8
Full House: r1c9=1
Full House: r2c7=4
Naked Single: r4c5=9
Naked Single: r6c1=4
Naked Single: r6c7=6
Full House: r6c9=8
Naked Single: r5c4=2
Full House: r5c6=1
Naked Single: r8c5=5
Full House: r9c5=6
Naked Single: r5c9=7
Naked Single: r7c4=9
Full House: r9c4=4
Naked Single: r8c2=1
Full House: r8c8=9
Naked Single: r4c7=3
Naked Single: r5c1=3
Naked Single: r9c9=5
Naked Single: r4c2=7
Full House: r4c1=1
Naked Single: r4c8=5
Full House: r4c9=2
Full House: r7c9=6
Naked Single: r5c7=9
Full House: r5c8=4
Full House: r7c7=7
Naked Single: r7c8=3
Full House: r9c8=8
Naked Single: r9c2=2
Full House: r2c2=5
Full House: r2c1=2
Naked Single: r7c6=2
Full House: r7c1=5
Full House: r9c1=7
Full House: r9c6=3
|
normal_sudoku_1371 | 2.7.39......617.2..19.28.73..487.26.8...5.7.4.7..6..8.4..79..5272..4...693..8.1.7 | 287439615543617928619528473154873269896152734372964581468791352721345896935286147 | normal_sudoku_1371 | 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 9 . . .
. . . 6 1 7 . 2 .
. 1 9 . 2 8 . 7 3
. . 4 8 7 . 2 6 .
8 . . . 5 . 7 . 4
. 7 . . 6 . . 8 .
4 . . 7 9 . . 5 2
7 2 . . 4 . . . 6
9 3 . . 8 . 1 . 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 287439615543617928619528473154873269896152734372964581468791352721345896935286147 #1 Medium (324)
Naked Single: r9c8=4
Naked Single: r1c8=1
Hidden Single: r6c6=4
Hidden Single: r3c1=6
Hidden Single: r1c7=6
Locked Candidates Type 1 (Pointing): 5 in b2 => r89c4<>5
Naked Single: r9c4=2
Hidden Single: r6c3=2
Hidden Single: r5c6=2
Locked Candidates Type 1 (Pointing): 1 in b7 => r5c3<>1
Hidden Single: r5c4=1
Naked Single: r4c6=3
Full House: r6c4=9
Naked Single: r8c4=3
Naked Single: r8c8=9
Full House: r5c8=3
Naked Single: r8c7=8
Full House: r7c7=3
Naked Single: r5c3=6
Full House: r5c2=9
Naked Single: r6c7=5
Naked Single: r9c3=5
Full House: r9c6=6
Naked Single: r4c2=5
Naked Single: r3c7=4
Full House: r2c7=9
Full House: r3c4=5
Full House: r1c4=4
Naked Single: r6c9=1
Full House: r4c9=9
Full House: r4c1=1
Full House: r6c1=3
Full House: r2c1=5
Naked Single: r8c3=1
Full House: r8c6=5
Full House: r7c6=1
Naked Single: r1c2=8
Full House: r1c9=5
Full House: r2c9=8
Naked Single: r7c3=8
Full House: r2c3=3
Full House: r2c2=4
Full House: r7c2=6
|
normal_sudoku_291 | .942..65.85...62.92.6.5..48..8.75.2...2.348955..8......25...98.48.59..62......5.4 | 394218657857346219216957348948675123672134895531829476725463981483591762169782534 | normal_sudoku_291 | 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 . . 6 5 .
8 5 . . . 6 2 . 9
2 . 6 . 5 . . 4 8
. . 8 . 7 5 . 2 .
. . 2 . 3 4 8 9 5
5 . . 8 . . . . .
. 2 5 . . . 9 8 .
4 8 . 5 9 . . 6 2
. . . . . . 5 . 4 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 394218657857346219216957348948675123672134895531829476725463981483591762169782534 #1 Extreme (11534) bf
Locked Candidates Type 1 (Pointing): 7 in b6 => r6c23<>7
Hidden Pair: 2,8 in r9c56 => r9c56<>1, r9c5<>6, r9c6<>3, r9c6<>7
Hidden Rectangle: 1/4 in r2c45,r7c45 => r7c4<>1
Discontinuous Nice Loop: 1 r3c6 -1- r1c5 -8- r1c6 =8= r9c6 =2= r6c6 =9= r3c6 => r3c6<>1
Forcing Chain Contradiction in c4 => r9c1<>7
r9c1=7 r89c3<>7 r2c3=7 r2c4<>7
r9c1=7 r9c1<>9 r4c1=9 r4c4<>9 r3c4=9 r3c4<>7
r9c1=7 r9c1<>9 r9c3=9 r6c3<>9 r6c6=9 r6c6<>2 r6c5=2 r6c5<>6 r7c5=6 r7c5<>4 r7c4=4 r7c4<>7
r9c1=7 r9c4<>7
Brute Force: r6c3=1
Hidden Single: r5c4=1
Hidden Single: r6c6=9
Naked Single: r4c4=6
Full House: r6c5=2
Naked Single: r9c5=8
Naked Single: r1c5=1
Naked Single: r9c6=2
Naked Single: r2c5=4
Full House: r7c5=6
Hidden Single: r9c3=9
Hidden Single: r4c1=9
Hidden Single: r3c4=9
Hidden Single: r6c9=6
Hidden Single: r1c6=8
Hidden Single: r3c2=1
Hidden Single: r2c8=1
Hidden Single: r7c4=4
Hidden Single: r9c1=1
Hidden Single: r9c2=6
Naked Single: r5c2=7
Full House: r5c1=6
X-Wing: 7 c19 r17 => r7c6<>7
Remote Pair: 3/7 r3c7 -7- r1c9 -3- r1c1 -7- r7c1 -3- r8c3 -7- r2c3 -3- r2c4 -7- r9c4 -3- r9c8 -7- r6c8 => r46c7,r7c9,r8c6<>3, r6c7,r7c9,r8c6<>7
Naked Single: r6c7=4
Naked Single: r7c9=1
Naked Single: r8c6=1
Naked Single: r4c7=1
Naked Single: r6c2=3
Full House: r4c2=4
Full House: r4c9=3
Full House: r6c8=7
Full House: r1c9=7
Full House: r9c8=3
Full House: r1c1=3
Full House: r3c7=3
Full House: r8c7=7
Full House: r9c4=7
Full House: r7c6=3
Full House: r2c3=7
Full House: r7c1=7
Full House: r3c6=7
Full House: r8c3=3
Full House: r2c4=3
|
normal_sudoku_5629 | 7..3...41..1.5....43...1.5...3..7.899..58.316...9..427...6..89...8..5.73.2....16. | 785326941261459738439871652143267589972584316856913427517632894698145273324798165 | normal_sudoku_5629 | 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 . . 3 . . . 4 1
. . 1 . 5 . . . .
4 3 . . . 1 . 5 .
. . 3 . . 7 . 8 9
9 . . 5 8 . 3 1 6
. . . 9 . . 4 2 7
. . . 6 . . 8 9 .
. . 8 . . 5 . 7 3
. 2 . . . . 1 6 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 785326941261459738439871652143267589972584316856913427517632894698145273324798165 #1 Unfair (1038)
Full House: r4c7=5
Full House: r2c8=3
Naked Single: r8c7=2
Swordfish: 2 r157 c356 => r2c6,r3c35,r4c5<>2
Naked Triple: 6,7,9 in r3c357 => r3c4<>7
Uniqueness Test 1: 2/8 in r2c49,r3c49 => r2c4<>2, r2c4<>8
Sue de Coq: r1c56 - {2689} (r1c7 - {69}, r3c4 - {28}) => r2c6<>8, r1c23<>6, r1c23<>9
2-String Kite: 9 in r3c3,r8c5 (connected by r8c2,r9c3) => r3c5<>9
Empty Rectangle: 6 in b5 (r36c3) => r3c5<>6
Naked Single: r3c5=7
Naked Single: r2c4=4
Naked Single: r8c4=1
Naked Single: r4c4=2
Naked Single: r8c1=6
Naked Single: r3c4=8
Full House: r9c4=7
Naked Single: r5c6=4
Naked Single: r4c1=1
Naked Single: r3c9=2
Naked Single: r5c2=7
Full House: r5c3=2
Naked Single: r4c5=6
Full House: r4c2=4
Naked Single: r2c9=8
Naked Single: r1c3=5
Naked Single: r6c6=3
Full House: r6c5=1
Naked Single: r8c2=9
Full House: r8c5=4
Naked Single: r2c1=2
Naked Single: r1c2=8
Naked Single: r6c3=6
Naked Single: r7c6=2
Naked Single: r2c2=6
Full House: r3c3=9
Full House: r3c7=6
Naked Single: r9c3=4
Full House: r7c3=7
Naked Single: r6c2=5
Full House: r6c1=8
Full House: r7c2=1
Naked Single: r7c5=3
Naked Single: r2c6=9
Full House: r2c7=7
Full House: r1c7=9
Naked Single: r9c9=5
Full House: r7c9=4
Full House: r7c1=5
Full House: r9c1=3
Naked Single: r9c5=9
Full House: r1c5=2
Full House: r1c6=6
Full House: r9c6=8
|
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