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_3590 | .8.3..6.......812...125.8.75...8.97.9.672.581.7..9.4....78..3......3275..9..472.8 | 289371645753468129461259837542186973936724581178593462627815394814932756395647218 | normal_sudoku_3590 | 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 . . 6 . .
. . . . . 8 1 2 .
. . 1 2 5 . 8 . 7
5 . . . 8 . 9 7 .
9 . 6 7 2 . 5 8 1
. 7 . . 9 . 4 . .
. . 7 8 . . 3 . .
. . . . 3 2 7 5 .
. 9 . . 4 7 2 . 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 289371645753468129461259837542186973936724581178593462627815394814932756395647218 #1 Extreme (1976)
2-String Kite: 4 in r2c4,r5c2 (connected by r4c4,r5c6) => r2c2<>4
Discontinuous Nice Loop: 4/9 r1c9 =5= r1c3 =2= r1c1 -2- r7c1 =2= r7c2 =5= r2c2 -5- r2c9 =5= r1c9 => r1c9<>4, r1c9<>9
Naked Single: r1c9=5
Discontinuous Nice Loop: 3/6 r2c2 =5= r2c3 =9= r1c3 =2= r1c1 -2- r7c1 =2= r7c2 =5= r2c2 => r2c2<>3, r2c2<>6
Naked Single: r2c2=5
Hidden Single: r9c3=5
Hidden Single: r7c6=5
Hidden Single: r6c4=5
Hidden Single: r9c1=3
Hidden Single: r8c4=9
Locked Candidates Type 2 (Claiming): 1 in r8 => r7c12<>1
Naked Triple: 4,6,7 in r2c145 => r2c39<>4
Locked Candidates Type 1 (Pointing): 4 in b3 => r7c8<>4
Hidden Pair: 1,8 in r68c1 => r6c1<>2, r8c1<>4, r8c1<>6
2-String Kite: 3 in r2c3,r6c8 (connected by r2c9,r3c8) => r6c3<>3
Hidden Rectangle: 4/9 in r1c68,r3c68 => r3c6<>4
Continuous Nice Loop: 1/4/6 7= r1c1 =2= r1c3 =9= r2c3 -9- r2c9 =9= r7c9 =4= r8c9 =6= r8c2 =1= r8c1 -1- r6c1 =1= r6c6 -1- r1c6 =1= r1c5 =7= r1c1 =2 => r4c6<>1, r1c13,r8c2<>4, r7c9<>6
XY-Chain: 4 4- r7c9 -9- r2c9 -3- r2c3 -9- r1c3 -2- r6c3 -8- r8c3 -4 => r7c12,r8c9<>4
Naked Single: r8c9=6
Naked Single: r8c2=1
Naked Single: r9c8=1
Full House: r9c4=6
Full House: r7c5=1
Naked Single: r8c1=8
Full House: r8c3=4
Naked Single: r7c8=9
Full House: r7c9=4
Naked Single: r2c4=4
Full House: r4c4=1
Naked Single: r1c5=7
Full House: r2c5=6
Naked Single: r6c1=1
Naked Single: r1c8=4
Naked Single: r1c1=2
Naked Single: r2c1=7
Naked Single: r3c6=9
Full House: r1c6=1
Full House: r1c3=9
Naked Single: r3c8=3
Full House: r2c9=9
Full House: r2c3=3
Full House: r6c8=6
Naked Single: r7c1=6
Full House: r3c1=4
Full House: r7c2=2
Full House: r3c2=6
Naked Single: r4c3=2
Full House: r6c3=8
Naked Single: r6c6=3
Full House: r6c9=2
Full House: r4c9=3
Naked Single: r5c6=4
Full House: r4c6=6
Full House: r4c2=4
Full House: r5c2=3
|
normal_sudoku_423 | ....8435...823.7.63....6.2.....5..7..1..274....78..2.5.8.9....7..9.72...76...89.2 | 926784351458231796371596824842159673513627489697843215284965137139472568765318942 | normal_sudoku_423 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . 8 4 3 5 .
. . 8 2 3 . 7 . 6
3 . . . . 6 . 2 .
. . . . 5 . . 7 .
. 1 . . 2 7 4 . .
. . 7 8 . . 2 . 5
. 8 . 9 . . . . 7
. . 9 . 7 2 . . .
7 6 . . . 8 9 . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 926784351458231796371596824842159673513627489697843215284965137139472568765318942 #1 Extreme (14762)
Finned Swordfish: 5 r359 c134 fr3c2 => r2c1<>5
Discontinuous Nice Loop: 9 r3c2 -9- r3c5 -1- r1c4 -7- r1c2 =7= r3c2 => r3c2<>9
Forcing Chain Contradiction in r3 => r4c1<>2
r4c1=2 r4c2<>2 r1c2=2 r1c2<>7 r3c2=7 r3c2<>5
r4c1=2 r4c1<>8 r5c1=8 r5c1<>5 r5c3=5 r3c3<>5
r4c1=2 r4c1<>8 r5c1=8 r5c1<>5 r5c3=5 r9c3<>5 r9c4=5 r3c4<>5
Forcing Chain Contradiction in r3 => r4c9<>9
r4c9=9 r1c9<>9 r1c9=1 r1c4<>1 r1c4=7 r1c2<>7 r3c2=7 r3c2<>5
r4c9=9 r5c89<>9 r5c1=9 r5c1<>5 r5c3=5 r3c3<>5
r4c9=9 r5c89<>9 r5c1=9 r5c1<>5 r5c3=5 r9c3<>5 r9c4=5 r3c4<>5
Forcing Net Contradiction in r2 => r3c5=9
r3c5<>9 (r3c9=9 r3c9<>4 r8c9=4 r8c1<>4) r6c5=9 (r4c6<>9) r6c6<>9 r2c6=9 r2c6<>5 r7c6=5 r7c7<>5 r8c7=5 r8c1<>5 r8c1=1 r2c1<>1
r3c5<>9 r3c5=1 r2c6<>1
r3c5<>9 r3c9=9 r1c9<>9 r1c9=1 r2c8<>1
Forcing Net Verity => r1c1<>1
r8c1=1 r1c1<>1
r8c1=4 (r8c4<>4) (r7c3<>4) (r9c3<>4) r8c9<>4 r3c9=4 (r2c8<>4 r2c2=4 r2c2<>5 r2c6=5 r3c4<>5) (r2c8<>4 r2c2=4 r2c2<>5 r2c6=5 r3c4<>5) r3c3<>4 r4c3=4 r4c4<>4 r9c4=4 r9c4<>5 r8c4=5 r9c4<>5 r9c3=5 r3c3<>5 r3c2=5 r3c2<>7 r3c4=7 r1c4<>7 r1c4=1 r1c1<>1
r8c1=5 (r5c1<>5 r5c3=5 r3c3<>5) r9c3<>5 r9c4=5 r3c4<>5 r3c2=5 r3c2<>7 r3c4=7 r1c4<>7 r1c4=1 r1c1<>1
Forcing Net Contradiction in r1c9 => r3c2<>4
r3c2=4 (r3c9<>4 r8c9=4 r8c1<>4) (r2c2<>4 r2c8=4 r2c8<>1) r3c2<>7 r3c4=7 r1c4<>7 r1c4=1 r2c6<>1 r2c1=1 r8c1<>1 r8c1=5 (r5c1<>5 r5c3=5 r3c3<>5) r9c3<>5 r9c4=5 r3c4<>5 r3c2=5 r3c2<>4
Forcing Net Contradiction in r4c2 => r4c3<>3
r4c3=3 (r4c4<>3) (r4c9<>3) (r4c2<>3) r6c2<>3 r8c2=3 (r8c4<>3) r8c9<>3 r5c9=3 r5c4<>3 (r5c4=6 r5c3<>6) r9c4=3 r9c4<>5 r9c3=5 r5c3<>5 r5c3=3 r4c3<>3
Forcing Chain Contradiction in r8c2 => r4c7<>8
r4c7=8 r4c1<>8 r5c1=8 r5c1<>5 r5c3=5 r5c3<>3 r46c2=3 r8c2<>3
r4c7=8 r3c7<>8 r3c9=8 r3c9<>4 r8c9=4 r8c2<>4
r4c7=8 r4c1<>8 r5c1=8 r5c1<>5 r78c1=5 r8c2<>5
Forcing Net Contradiction in r3c7 => r3c7=8
r3c7<>8 (r3c7=1 r4c7<>1 r4c7=6 r4c3<>6) r3c9=8 r3c9<>4 r3c3=4 r4c3<>4 r4c3=2 r1c3<>2 r1c1=2 (r1c2<>2 r4c2=2 r4c3<>2) r1c1<>6 r1c3=6 r4c3<>6 r4c3=4 r3c3<>4 r3c9=4 r3c9<>8 r3c7=8
Forcing Net Contradiction in c3 => r3c9=4
r3c9<>4 r3c3=4
r3c9<>4 (r3c3=4 r7c3<>4) (r3c3=4 r9c3<>4) r8c9=4 (r8c1<>4) r8c2<>4 r7c1=4 r7c1<>2 (r7c3=2 r4c3<>2) r1c1=2 r1c1<>6 r1c3=6 r4c3<>6 r4c3=4
Forcing Chain Contradiction in r8c2 => r4c1<>4
r4c1=4 r4c1<>8 r5c1=8 r5c1<>5 r5c3=5 r5c3<>3 r46c2=3 r8c2<>3
r4c1=4 r4c3<>4 r79c3=4 r8c2<>4
r4c1=4 r4c1<>8 r5c1=8 r5c1<>5 r78c1=5 r8c2<>5
Forcing Chain Contradiction in r8c2 => r7c7<>6
r7c7=6 r7c5<>6 r6c5=6 r5c4<>6 r5c4=3 r5c3<>3 r46c2=3 r8c2<>3
r7c7=6 r7c5<>6 r6c5=6 r6c5<>4 r4c4=4 r4c3<>4 r79c3=4 r8c2<>4
r7c7=6 r7c7<>5 r8c7=5 r8c2<>5
Forcing Chain Verity => r8c4<>1
r2c1=1 r2c6<>1 r13c4=1 r8c4<>1
r7c1=1 r7c7<>1 r7c7=5 r7c6<>5 r2c6=5 r2c6<>1 r13c4=1 r8c4<>1
r8c1=1 r8c4<>1
Forcing Chain Contradiction in r2 => r7c8<>1
r7c8=1 r8c789<>1 r8c1=1 r2c1<>1
r7c8=1 r7c7<>1 r7c7=5 r7c6<>5 r2c6=5 r2c6<>1
r7c8=1 r2c8<>1
Forcing Chain Contradiction in r8c1 => r9c3<>1
r9c3=1 r8c1<>1
r9c3=1 r9c5<>1 r9c5=4 r6c5<>4 r4c4=4 r4c3<>4 r79c3=4 r8c1<>4
r9c3=1 r3c3<>1 r3c3=5 r5c3<>5 r5c1=5 r8c1<>5
Grouped Discontinuous Nice Loop: 1 r7c5 =6= r7c8 -6- r8c7 =6= r4c7 =1= r78c7 -1- r9c8 =1= r9c45 -1- r7c5 => r7c5<>1
Finned Franken Swordfish: 1 r28b8 c168 fr8c7 fr8c9 fr9c4 fr9c5 => r9c8<>1
Locked Candidates Type 2 (Claiming): 1 in r9 => r7c6<>1
Almost Locked Set XZ-Rule: A=r2c168 {1459}, B=r7c568 {3456}, X=5, Z=4 => r7c1<>4
Forcing Chain Contradiction in b6 => r9c5=1
r9c5<>1 r9c4=1 r13c4<>1 r2c6=1 r2c6<>5 r7c6=5 r7c7<>5 r7c7=1 r4c7<>1
r9c5<>1 r9c4=1 r13c4<>1 r2c6=1 r2c8<>1 r1c9=1 r4c9<>1
r9c5<>1 r6c5=1 r6c8<>1
Almost Locked Set XY-Wing: A=r79c8 {346}, B=r5c4,r6c5 {346}, C=r7c5 {46}, X,Y=4,6, Z=3 => r5c8<>3
Forcing Chain Verity => r1c3<>1
r7c1=1 r7c1<>2 r1c1=2 r1c1<>6 r1c3=6 r1c3<>1
r7c3=1 r1c3<>1
r7c7=1 r7c7<>5 r8c7=5 r8c2<>5 r23c2=5 r3c3<>5 r3c3=1 r1c3<>1
Forcing Chain Contradiction in r5c8 => r4c1<>9
r4c1=9 r4c6<>9 r6c6=9 r6c6<>1 r6c8=1 r4c7<>1 r4c7=6 r5c8<>6
r4c1=9 r4c1<>8 r4c9=8 r5c8<>8
r4c1=9 r4c6<>9 r6c6=9 r6c6<>1 r6c8=1 r2c8<>1 r2c8=9 r5c8<>9
Almost Locked Set XZ-Rule: A=r4c1479 {13468}, B=r5c4,r6c5 {346}, X=4, Z=3 => r4c6<>3
Forcing Chain Verity => r4c3<>6
r4c2=4 r4c2<>2 r4c3=2 r4c3<>6
r4c3=4 r4c3<>6
r4c4=4 r6c5<>4 r6c5=6 r7c5<>6 r7c8=6 r8c7<>6 r4c7=6 r4c3<>6
Forcing Chain Contradiction in c4 => r5c1<>9
r5c1=9 r5c9<>9 r1c9=9 r1c9<>1 r1c4=1 r1c4<>7 r1c2=7 r1c2<>2 r4c2=2 r4c3<>2 r4c3=4 r4c4<>4
r5c1=9 r5c9<>9 r1c9=9 r1c9<>1 r1c4=1 r1c4<>7 r1c2=7 r1c2<>2 r4c2=2 r4c3<>2 r4c3=4 r79c3<>4 r8c12=4 r8c4<>4
r5c1=9 r5c1<>5 r5c3=5 r9c3<>5 r9c4=5 r9c4<>4
Locked Candidates Type 2 (Claiming): 9 in r5 => r6c8<>9
Almost Locked Set XZ-Rule: A=r4c7 {16}, B=r679c8 {1346}, X=1, Z=6 => r5c8<>6
Forcing Chain Contradiction in r8 => r4c1=8
r4c1<>8 r5c1=8 r5c1<>5 r5c3=5 r5c3<>3 r46c2=3 r8c2<>3
r4c1<>8 r4c1=6 r4c7<>6 r4c7=1 r7c7<>1 r7c7=5 r7c6<>5 r7c6=3 r8c4<>3
r4c1<>8 r4c9=8 r8c9<>8 r8c8=8 r8c8<>3
r4c1<>8 r4c1=6 r4c7<>6 r6c8=6 r6c8<>3 r789c8=3 r8c9<>3
Naked Triple: 1,3,6 in r4c79,r6c8 => r5c9<>3
2-String Kite: 3 in r5c3,r7c6 (connected by r5c4,r6c6) => r7c3<>3
Turbot Fish: 3 r5c4 =3= r5c3 -3- r9c3 =3= r8c2 => r8c4<>3
Finned Swordfish: 3 r678 c268 fr8c9 => r9c8<>3
Naked Single: r9c8=4
Naked Pair: 3,5 in r7c6,r9c4 => r8c4<>5
X-Wing: 3 r59 c34 => r4c4<>3
Skyscraper: 4 in r7c3,r8c4 (connected by r4c34) => r7c5,r8c12<>4
Naked Single: r7c5=6
Full House: r6c5=4
Naked Single: r7c8=3
Naked Single: r8c4=4
Naked Single: r7c6=5
Full House: r9c4=3
Full House: r9c3=5
Naked Single: r2c6=1
Naked Single: r7c7=1
Naked Single: r5c4=6
Naked Single: r3c3=1
Naked Single: r8c1=1
Naked Single: r8c2=3
Naked Single: r1c4=7
Full House: r3c4=5
Full House: r4c4=1
Full House: r3c2=7
Naked Single: r2c8=9
Full House: r1c9=1
Naked Single: r4c6=9
Full House: r6c6=3
Naked Single: r4c7=6
Full House: r8c7=5
Naked Single: r7c1=2
Full House: r7c3=4
Naked Single: r8c9=8
Full House: r8c8=6
Naked Single: r5c1=5
Naked Single: r5c3=3
Naked Single: r6c2=9
Naked Single: r4c9=3
Full House: r5c9=9
Full House: r5c8=8
Full House: r6c8=1
Full House: r6c1=6
Naked Single: r2c1=4
Full House: r1c1=9
Full House: r2c2=5
Naked Single: r4c3=2
Full House: r1c3=6
Full House: r1c2=2
Full House: r4c2=4
|
normal_sudoku_5220 | 28.13..56.69524.875..6.82...96...5.2.5.24....8.2965.7..25.1.7...78.5..2.6..7.2..5 | 284137956169524387537698214396871542751243869842965173925416738478359621613782495 | normal_sudoku_5220 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 2 8 . 1 3 . . 5 6
. 6 9 5 2 4 . 8 7
5 . . 6 . 8 2 . .
. 9 6 . . . 5 . 2
. 5 . 2 4 . . . .
8 . 2 9 6 5 . 7 .
. 2 5 . 1 . 7 . .
. 7 8 . 5 . . 2 .
6 . . 7 . 2 . . 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 284137956169524387537698214396871542751243869842965173925416738478359621613782495 #1 Extreme (2456)
Locked Candidates Type 1 (Pointing): 7 in b1 => r5c3<>7
Naked Triple: 1,3,4 in r4c8,r6c79 => r5c789<>1, r5c789<>3
2-String Kite: 9 in r1c7,r9c5 (connected by r1c6,r3c5) => r9c7<>9
Empty Rectangle: 1 in b7 (r2c17) => r9c7<>1
Empty Rectangle: 3 in b7 (r2c17) => r9c7<>3
Empty Rectangle: 4 in b7 (r4c18) => r9c8<>4
Finned Swordfish: 1 r268 c179 fr6c2 => r45c1<>1
XY-Chain: 4 4- r1c7 -9- r1c6 -7- r3c5 -9- r9c5 -8- r9c7 -4 => r68c7<>4
Naked Pair: 1,3 in r26c7 => r8c7<>1, r8c7<>3
Skyscraper: 1 in r2c7,r8c9 (connected by r28c1) => r3c9<>1
Swordfish: 1 c179 r268 => r6c2<>1
Hidden Single: r5c3=1
Hidden Single: r4c6=1
Empty Rectangle: 3 in b4 (r26c7) => r2c1<>3
Naked Single: r2c1=1
Full House: r2c7=3
Naked Single: r6c7=1
Hidden Single: r3c8=1
Hidden Single: r9c2=1
Hidden Single: r8c9=1
X-Wing: 4 r19 c37 => r3c3<>4
X-Wing: 4 r36 c29 => r7c9<>4
Skyscraper: 9 in r3c9,r9c8 (connected by r39c5) => r7c9<>9
Empty Rectangle: 3 in b4 (r67c9) => r7c1<>3
W-Wing: 8/3 in r4c4,r7c9 connected by 3 in r4c8,r6c9 => r7c4<>8
Hidden Single: r7c9=8
Naked Single: r5c9=9
Naked Single: r9c7=4
Naked Single: r3c9=4
Full House: r1c7=9
Full House: r6c9=3
Full House: r6c2=4
Full House: r3c2=3
Naked Single: r5c8=6
Naked Single: r9c3=3
Naked Single: r1c6=7
Full House: r1c3=4
Full House: r3c3=7
Full House: r3c5=9
Naked Single: r8c7=6
Full House: r5c7=8
Full House: r4c8=4
Naked Single: r9c8=9
Full House: r9c5=8
Full House: r7c8=3
Full House: r4c5=7
Naked Single: r5c6=3
Full House: r4c4=8
Full House: r4c1=3
Full House: r5c1=7
Naked Single: r7c4=4
Full House: r8c4=3
Naked Single: r8c6=9
Full House: r7c6=6
Full House: r7c1=9
Full House: r8c1=4
|
normal_sudoku_1103 | 37..9.21....817.35.152.39.7..7.24.......78..1.......7..21..97.37.9.3215.53.7.1... | 378596214492817635615243987157324896263978541984165372821459763749632158536781429 | 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 | 3 7 . . 9 . 2 1 .
. . . 8 1 7 . 3 5
. 1 5 2 . 3 9 . 7
. . 7 . 2 4 . . .
. . . . 7 8 . . 1
. . . . . . . 7 .
. 2 1 . . 9 7 . 3
7 . 9 . 3 2 1 5 .
5 3 . 7 . 1 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 378596214492817635615243987157324896263978541984165372821459763749632158536781429 #1 Extreme (2402)
Locked Pair: 5,6 in r6c56 => r456c4,r6c12379<>6, r456c4,r6c27<>5
Naked Triple: 4,6,8 in r7c8,r8c9,r9c7 => r9c89<>4, r9c89<>6, r9c89<>8
Skyscraper: 8 in r1c3,r8c2 (connected by r18c9) => r9c3<>8
Finned Franken Swordfish: 4 r29b2 c357 fr1c4 fr2c1 fr2c2 => r1c3<>4
W-Wing: 6/4 in r2c7,r3c5 connected by 4 in r1c49 => r3c8<>6
Sashimi Swordfish: 6 r239 c357 fr2c1 fr2c2 fr3c1 => r1c3<>6
Naked Single: r1c3=8
Hidden Single: r3c8=8
Forcing Chain Contradiction in r9c5 => r7c1<>4
r7c1=4 r3c1<>4 r3c5=4 r9c5<>4
r7c1=4 r9c3<>4 r9c3=6 r9c5<>6
r7c1=4 r7c1<>8 r7c5=8 r9c5<>8
Discontinuous Nice Loop: 4 r8c9 -4- r7c8 -6- r7c1 -8- r8c2 =8= r8c9 => r8c9<>4
Multi Colors 1: 4 (r1c4,r2c7,r3c1,r6c9) / (r1c9,r3c5), (r5c8,r9c7) / (r7c8) => r7c5<>4
W-Wing: 6/4 in r3c1,r9c3 connected by 4 in r39c5 => r2c3,r7c1<>6
Naked Single: r7c1=8
Hidden Single: r9c5=8
Hidden Single: r8c9=8
Hidden Single: r3c5=4
Full House: r3c1=6
Hidden Single: r1c9=4
Full House: r2c7=6
Naked Single: r9c7=4
Naked Single: r7c8=6
Naked Single: r9c3=6
Full House: r8c2=4
Full House: r8c4=6
Naked Single: r4c8=9
Naked Single: r7c5=5
Full House: r6c5=6
Full House: r7c4=4
Naked Single: r2c2=9
Naked Single: r1c4=5
Full House: r1c6=6
Full House: r6c6=5
Naked Single: r4c1=1
Naked Single: r4c9=6
Naked Single: r6c9=2
Full House: r9c9=9
Full House: r9c8=2
Full House: r5c8=4
Naked Single: r6c2=8
Naked Single: r4c4=3
Naked Single: r4c2=5
Full House: r4c7=8
Full House: r5c2=6
Naked Single: r6c7=3
Full House: r5c7=5
Naked Single: r5c4=9
Full House: r6c4=1
Naked Single: r6c3=4
Full House: r6c1=9
Naked Single: r5c1=2
Full House: r2c1=4
Full House: r2c3=2
Full House: r5c3=3
|
normal_sudoku_5686 | 7.2.14...13.82..47.483.7..237.1.2....8147.2392...387..8..2...7...7..3.2.42.7...95 | 762514983135829647948367152374192568681475239259638714893256471517943826426781395 | normal_sudoku_5686 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 7 . 2 . 1 4 . . .
1 3 . 8 2 . . 4 7
. 4 8 3 . 7 . . 2
3 7 . 1 . 2 . . .
. 8 1 4 7 . 2 3 9
2 . . . 3 8 7 . .
8 . . 2 . . . 7 .
. . 7 . . 3 . 2 .
4 2 . 7 . . . 9 5 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 762514983135829647948367152374192568681475239259638714893256471517943826426781395 #1 Extreme (5406)
Forcing Net Verity => r1c2<>9
r3c1=5 (r3c1<>9 r8c1=9 r8c4<>9) (r1c2<>5) (r2c3<>5) r5c1<>5 r5c6=5 r2c6<>5 r2c7=5 (r1c7<>5) r1c8<>5 r1c4=5 r8c4<>5 r8c4=6 (r7c6<>6) r9c6<>6 r2c6=6 (r2c3<>6) r5c6<>6 r5c1=6 (r5c6<>6) r3c1<>6 r1c2=6 r1c2<>9
r3c1=6 (r3c1<>9 r8c1=9 r8c4<>9) (r1c2<>6) (r2c3<>6) r5c1<>6 r5c6=6 r2c6<>6 r2c7=6 (r1c7<>6) (r1c8<>6) r1c9<>6 r1c4=6 r8c4<>6 r8c4=5 r7c6<>5 r2c6=5 (r2c3<>5) r5c6<>5 r5c1=5 (r5c6<>5) r3c1<>5 r1c2=5 r1c2<>9
r3c1=9 r1c2<>9
Turbot Fish: 9 r3c1 =9= r2c3 -9- r4c3 =9= r4c5 => r3c5<>9
Forcing Chain Contradiction in r2c6 => r3c1<>5
r3c1=5 r5c1<>5 r5c6=5 r2c6<>5
r3c1=5 r3c5<>5 r3c5=6 r2c6<>6
r3c1=5 r3c1<>9 r2c3=9 r2c6<>9
Finned Franken Swordfish: 5 c14b1 r168 fr2c3 fr5c1 => r6c3<>5
Finned Franken Swordfish: 5 c16b1 r257 fr1c2 fr8c1 => r7c2<>5
Forcing Chain Contradiction in r2c6 => r3c1=9
r3c1<>9 r3c1=6 r3c5<>6 r3c5=5 r2c6<>5
r3c1<>9 r3c1=6 r5c1<>6 r5c6=6 r2c6<>6
r3c1<>9 r2c3=9 r2c6<>9
Finned Franken Swordfish: 6 c14b1 r168 fr2c3 fr5c1 => r6c3<>6
Forcing Chain Verity => r1c7<>5
r7c3=5 r2c3<>5 r1c2=5 r1c7<>5
r7c5=5 r3c5<>5 r3c78=5 r1c7<>5
r7c6=5 r7c6<>9 r2c6=9 r2c7<>9 r1c7=9 r1c7<>5
Forcing Chain Contradiction in r9 => r1c7<>6
r1c7=6 r1c2<>6 r2c3=6 r9c3<>6
r1c7=6 r3c78<>6 r3c5=6 r9c5<>6
r1c7=6 r1c7<>9 r1c4=9 r2c6<>9 r7c6=9 r7c6<>1 r9c6=1 r9c6<>6
r1c7=6 r9c7<>6
Forcing Chain Contradiction in c4 => r2c6<>5
r2c6=5 r2c6<>9 r1c4=9 r1c4<>6
r2c6=5 r5c6<>5 r5c6=6 r6c4<>6
r2c6=5 r5c6<>5 r5c6=6 r5c1<>6 r8c1=6 r8c4<>6
Skyscraper: 5 in r7c6,r8c1 (connected by r5c16) => r7c3,r8c45<>5
W-Wing: 6/5 in r1c2,r5c1 connected by 5 in r8c12 => r6c2<>6
W-Wing: 6/5 in r3c5,r5c6 connected by 5 in r7c56 => r2c6,r4c5<>6
Naked Single: r2c6=9
Hidden Single: r1c7=9
Hidden Single: r1c9=3
Hidden Single: r1c8=8
Turbot Fish: 6 r6c4 =6= r5c6 -6- r5c1 =6= r8c1 => r8c4<>6
Naked Single: r8c4=9
Hidden Single: r4c5=9
Remote Pair: 6/5 r2c7 -5- r2c3 -6- r1c2 -5- r1c4 -6- r6c4 -5- r5c6 -6- r5c1 -5- r8c1 => r4c3,r8c2<>5, r4c3,r78c2,r8c7<>6
Naked Single: r4c3=4
Naked Single: r8c2=1
Naked Single: r6c3=9
Naked Single: r7c2=9
Naked Single: r6c2=5
Full House: r1c2=6
Full House: r5c1=6
Full House: r1c4=5
Full House: r6c4=6
Full House: r2c3=5
Full House: r5c6=5
Full House: r8c1=5
Full House: r3c5=6
Full House: r2c7=6
Naked Single: r6c8=1
Full House: r6c9=4
Naked Single: r9c5=8
Naked Single: r3c8=5
Full House: r3c7=1
Full House: r4c8=6
Naked Single: r8c5=4
Full House: r7c5=5
Naked Single: r9c7=3
Naked Single: r4c9=8
Full House: r4c7=5
Naked Single: r8c7=8
Full House: r7c7=4
Full House: r8c9=6
Full House: r7c9=1
Naked Single: r9c3=6
Full House: r7c3=3
Full House: r7c6=6
Full House: r9c6=1
|
normal_sudoku_2978 | 1738649259..1..863.6.359174...4..6..7.....4383..51.2.....24.7....7...3.2.....15.. | 173864925954172863268359174829437651715926438346518297591243786487695312632781549 | normal_sudoku_2978 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 1 7 3 8 6 4 9 2 5
9 . . 1 . . 8 6 3
. 6 . 3 5 9 1 7 4
. . . 4 . . 6 . .
7 . . . . . 4 3 8
3 . . 5 1 . 2 . .
. . . 2 4 . 7 . .
. . 7 . . . 3 . 2
. . . . . 1 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 173864925954172863268359174829437651715926438346518297591243786487695312632781549 #1 Medium (308)
Naked Single: r6c8=9
Naked Single: r6c9=7
Naked Single: r4c9=1
Full House: r4c8=5
Hidden Single: r9c4=7
Locked Triple: 2,8,9 in r4c123 => r4c56,r5c23<>2, r4c56,r6c23<>8, r4c5,r5c23<>9
Naked Single: r6c2=4
Naked Single: r6c3=6
Full House: r6c6=8
Hidden Single: r2c3=4
Hidden Single: r2c2=5
Naked Single: r5c2=1
Naked Single: r5c3=5
Hidden Single: r7c3=1
Naked Single: r7c8=8
Naked Single: r9c8=4
Full House: r8c8=1
Hidden Single: r8c1=4
Hidden Single: r8c6=5
Hidden Single: r7c1=5
Hidden Single: r8c4=6
Full House: r5c4=9
Naked Single: r7c6=3
Naked Single: r5c5=2
Full House: r5c6=6
Naked Single: r4c6=7
Full House: r2c6=2
Full House: r2c5=7
Full House: r4c5=3
Naked Single: r7c2=9
Full House: r7c9=6
Full House: r9c9=9
Naked Single: r8c2=8
Full House: r8c5=9
Full House: r9c5=8
Naked Single: r4c2=2
Full House: r9c2=3
Naked Single: r9c3=2
Full House: r9c1=6
Naked Single: r4c1=8
Full House: r3c1=2
Full House: r3c3=8
Full House: r4c3=9
|
normal_sudoku_1331 | ...7.82.9.78..9..129..14...7691.3.28.84972.3..23..69....2.95...8..4.7592957..1.6. | 416738259378529641295614783769153428584972136123846975642395817831467592957281364 | normal_sudoku_1331 | 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 2 . 9
. 7 8 . . 9 . . 1
2 9 . . 1 4 . . .
7 6 9 1 . 3 . 2 8
. 8 4 9 7 2 . 3 .
. 2 3 . . 6 9 . .
. . 2 . 9 5 . . .
8 . . 4 . 7 5 9 2
9 5 7 . . 1 . 6 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 416738259378529641295614783769153428584972136123846975642395817831467592957281364 #1 Hard (322)
Naked Single: r4c7=4
Full House: r4c5=5
Naked Single: r6c4=8
Full House: r6c5=4
Hidden Single: r9c9=4
Hidden Single: r9c5=8
Naked Single: r9c7=3
Full House: r9c4=2
Naked Single: r2c7=6
Naked Single: r7c9=7
Naked Single: r5c7=1
Naked Single: r6c9=5
Naked Single: r5c1=5
Full House: r5c9=6
Full House: r3c9=3
Full House: r6c1=1
Full House: r6c8=7
Naked Single: r7c7=8
Full House: r3c7=7
Full House: r7c8=1
Hidden Single: r2c5=2
Hidden Single: r3c8=8
Skyscraper: 6 in r3c3,r7c1 (connected by r37c4) => r1c1,r8c3<>6
Naked Single: r8c3=1
Naked Single: r8c2=3
Full House: r8c5=6
Full House: r1c5=3
Full House: r7c4=3
Naked Single: r7c2=4
Full House: r1c2=1
Full House: r7c1=6
Naked Single: r1c1=4
Full House: r2c1=3
Naked Single: r2c4=5
Full House: r2c8=4
Full House: r1c8=5
Full House: r3c4=6
Full House: r1c3=6
Full House: r3c3=5
|
normal_sudoku_1843 | 38.4..16242.3.6857..6..294316......9..3....1...2.6..7....957.2.29......1....2..9. | 385479162429316857716582943164735289873294615952861374631957428297648531548123796 | normal_sudoku_1843 | 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 . 4 . . 1 6 2
4 2 . 3 . 6 8 5 7
. . 6 . . 2 9 4 3
1 6 . . . . . . 9
. . 3 . . . . 1 .
. . 2 . 6 . . 7 .
. . . 9 5 7 . 2 .
2 9 . . . . . . 1
. . . . 2 . . 9 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 385479162429316857716582943164735289873294615952861374631957428297648531548123796 #1 Extreme (2404)
Locked Candidates Type 1 (Pointing): 1 in b8 => r9c23<>1
Locked Candidates Type 2 (Claiming): 1 in c5 => r3c4<>1
Naked Triple: 3,4,8 in r8c568 => r8c37<>4, r8c34<>8, r8c7<>3
Naked Single: r8c4=6
Locked Candidates Type 2 (Claiming): 4 in r8 => r9c6<>4
X-Wing: 3 c58 r48 => r4c67,r8c6<>3
Hidden Pair: 1,3 in r69c6 => r6c6<>4, r6c6<>5, r69c6<>8, r6c6<>9
Hidden Single: r6c1=9
Empty Rectangle: 7 in b4 (r1c35) => r5c5<>7
Empty Rectangle: 8 in b8 (r48c8) => r4c4<>8
Finned X-Wing: 8 c68 r48 fr5c6 => r4c5<>8
Finned Swordfish: 5 r148 c367 fr4c4 => r5c6<>5
Sue de Coq: r6c79 - {3458} (r6c2 - {45}, r4c8 - {38}) => r5c9<>8, r6c4<>5
Naked Pair: 1,8 in r69c4 => r35c4<>8
Hidden Single: r3c5=8
Hidden Single: r3c2=1
Naked Single: r2c3=9
Full House: r2c5=1
Hidden Single: r7c3=1
Naked Pair: 5,7 in r18c3 => r49c3<>5, r49c3<>7
Locked Candidates Type 1 (Pointing): 7 in b4 => r5c4<>7
Skyscraper: 8 in r4c3,r6c4 (connected by r9c34) => r4c6<>8
Skyscraper: 8 in r8c8,r9c3 (connected by r4c38) => r9c9<>8
2-String Kite: 8 in r5c1,r9c4 (connected by r5c6,r6c4) => r9c1<>8
W-Wing: 4/8 in r4c3,r8c6 connected by 8 in r5c16 => r4c6<>4
Naked Single: r4c6=5
Naked Single: r1c6=9
Naked Single: r5c4=2
Naked Single: r1c5=7
Full House: r1c3=5
Full House: r3c4=5
Full House: r3c1=7
Naked Single: r4c4=7
Naked Single: r8c3=7
Naked Single: r8c7=5
Hidden Single: r5c5=9
Hidden Single: r4c7=2
Hidden Single: r5c2=7
Hidden Single: r9c7=7
W-Wing: 3/4 in r4c5,r6c7 connected by 4 in r4c3,r6c2 => r4c8,r6c6<>3
Naked Single: r4c8=8
Full House: r8c8=3
Naked Single: r6c6=1
Naked Single: r4c3=4
Full House: r4c5=3
Full House: r8c5=4
Full House: r9c3=8
Full House: r8c6=8
Naked Single: r6c4=8
Full House: r9c4=1
Full House: r9c6=3
Full House: r5c6=4
Naked Single: r6c2=5
Full House: r5c1=8
Naked Single: r7c1=6
Full House: r9c1=5
Naked Single: r5c7=6
Full House: r5c9=5
Naked Single: r6c9=4
Full House: r6c7=3
Full House: r7c7=4
Naked Single: r9c2=4
Full House: r9c9=6
Full House: r7c9=8
Full House: r7c2=3
|
normal_sudoku_611 | 612358794795.1..6.843..7215.5...1..6.6....95...7..51..57..26.8....58.6..486...5.. | 612358794795412368843697215254971836168243957937865142579126483321584679486739521 | normal_sudoku_611 | 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 3 5 8 7 9 4
7 9 5 . 1 . . 6 .
8 4 3 . . 7 2 1 5
. 5 . . . 1 . . 6
. 6 . . . . 9 5 .
. . 7 . . 5 1 . .
5 7 . . 2 6 . 8 .
. . . 5 8 . 6 . .
4 8 6 . . . 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 612358794795412368843697215254971836168243957937865142579126483321584679486739521 #1 Unfair (1436)
Locked Pair: 1,9 in r78c3 => r4c3,r8c1<>9, r5c3,r8c1<>1
Hidden Single: r5c1=1
Locked Candidates Type 1 (Pointing): 2 in b7 => r8c89<>2
Locked Candidates Type 1 (Pointing): 3 in b7 => r8c689<>3
Locked Candidates Type 1 (Pointing): 3 in b8 => r9c89<>3
Locked Candidates Type 1 (Pointing): 7 in b8 => r9c89<>7
Naked Single: r9c8=2
Locked Candidates Type 2 (Claiming): 4 in c5 => r456c4,r5c6<>4
Locked Candidates Type 2 (Claiming): 9 in c6 => r79c4,r9c5<>9
Locked Candidates Type 2 (Claiming): 3 in c8 => r4c7,r56c9<>3
Locked Candidates Type 2 (Claiming): 3 in r5 => r46c5<>3
Naked Pair: 4,8 in r4c37 => r4c4<>8, r4c58<>4
W-Wing: 9/1 in r7c3,r9c9 connected by 1 in r8c39 => r7c9<>9
Hidden Single: r7c3=9
Naked Single: r8c3=1
Uniqueness Test 1: 2/3 in r6c12,r8c12 => r6c1<>2, r6c1<>3
Naked Single: r6c1=9
Sue de Coq: r5c45 - {23478} (r5c3 - {48}, r4c45,r5c6 - {2379}) => r6c4<>2, r5c9<>8
XY-Chain: 7 7- r4c5 -9- r3c5 -6- r6c5 -4- r6c8 -3- r4c8 -7- r8c8 -4- r8c6 -9- r9c6 -3- r5c6 -2- r5c9 -7 => r4c8,r5c45<>7
Naked Single: r4c8=3
Naked Single: r4c1=2
Full House: r8c1=3
Full House: r8c2=2
Full House: r6c2=3
Naked Single: r6c8=4
Full House: r8c8=7
Naked Single: r4c7=8
Naked Single: r6c5=6
Naked Single: r8c9=9
Full House: r8c6=4
Naked Single: r2c7=3
Full House: r2c9=8
Full House: r7c7=4
Naked Single: r4c3=4
Full House: r5c3=8
Naked Single: r6c9=2
Full House: r6c4=8
Full House: r5c9=7
Naked Single: r3c5=9
Full House: r3c4=6
Naked Single: r9c9=1
Full House: r7c9=3
Full House: r7c4=1
Naked Single: r2c6=2
Full House: r2c4=4
Naked Single: r5c4=2
Naked Single: r4c5=7
Full House: r4c4=9
Full House: r9c4=7
Naked Single: r5c6=3
Full House: r5c5=4
Full House: r9c5=3
Full House: r9c6=9
|
normal_sudoku_2215 | 871562943..91...5.5....9.81968....1.1536874292479.1.6..9...5.7....71............2 | 871562943639148257524379681968234715153687429247951368396825174482713596715496832 | normal_sudoku_2215 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 8 7 1 5 6 2 9 4 3
. . 9 1 . . . 5 .
5 . . . . 9 . 8 1
9 6 8 . . . . 1 .
1 5 3 6 8 7 4 2 9
2 4 7 9 . 1 . 6 .
. 9 . . . 5 . 7 .
. . . 7 1 . . . .
. . . . . . . . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 871562943639148257524379681968234715153687429247951368396825174482713596715496832 #1 Unfair (910)
Hidden Single: r2c6=8
Hidden Single: r9c1=7
Hidden Single: r7c7=1
Hidden Single: r9c2=1
Hidden Single: r8c8=9
Full House: r9c8=3
Hidden Single: r9c5=9
Hidden Single: r8c2=8
Hidden Single: r8c3=2
Hidden Single: r9c3=5
Locked Candidates Type 1 (Pointing): 3 in b7 => r2c1<>3
Locked Candidates Type 2 (Claiming): 4 in r9 => r7c45,r8c6<>4
W-Wing: 3/4 in r3c4,r4c6 connected by 4 in r9c46 => r4c4<>3
XY-Chain: 8 8- r6c9 -5- r6c5 -3- r4c6 -4- r9c6 -6- r9c7 -8 => r6c7,r7c9<>8
Hidden Single: r6c9=8
Hidden Single: r9c7=8
Naked Single: r9c4=4
Full House: r9c6=6
Naked Single: r3c4=3
Naked Single: r4c4=2
Full House: r7c4=8
Naked Single: r8c6=3
Full House: r4c6=4
Full House: r7c5=2
Naked Single: r3c2=2
Full House: r2c2=3
Hidden Single: r7c1=3
Hidden Single: r2c7=2
Remote Pair: 6/4 r2c1 -4- r8c1 -6- r7c3 -4- r7c9 => r2c9<>6
Naked Single: r2c9=7
Full House: r3c7=6
Naked Single: r2c5=4
Full House: r2c1=6
Full House: r3c3=4
Full House: r3c5=7
Full House: r8c1=4
Full House: r7c3=6
Full House: r7c9=4
Naked Single: r4c9=5
Full House: r8c9=6
Full House: r8c7=5
Naked Single: r4c5=3
Full House: r4c7=7
Full House: r6c7=3
Full House: r6c5=5
|
normal_sudoku_999 | .23..68.7...5.8.9..58......59..34.28....853.183....9...79451.8...5867..9.86329... | 423196857617548293958273416591634728762985341834712965379451682245867139186329574 | normal_sudoku_999 | 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 8 . 7
. . . 5 . 8 . 9 .
. 5 8 . . . . . .
5 9 . . 3 4 . 2 8
. . . . 8 5 3 . 1
8 3 . . . . 9 . .
. 7 9 4 5 1 . 8 .
. . 5 8 6 7 . . 9
. 8 6 3 2 9 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 423196857617548293958273416591634728762985341834712965379451682245867139186329574 #1 Easy (208)
Naked Single: r6c6=2
Full House: r3c6=3
Hidden Single: r1c8=5
Hidden Single: r2c9=3
Hidden Single: r5c4=9
Naked Single: r1c4=1
Hidden Single: r9c7=5
Naked Single: r9c9=4
Naked Single: r9c1=1
Full House: r9c8=7
Naked Single: r8c2=4
Naked Single: r5c2=6
Full House: r2c2=1
Naked Single: r5c8=4
Naked Single: r6c8=6
Naked Single: r3c8=1
Full House: r8c8=3
Naked Single: r4c7=7
Full House: r6c9=5
Naked Single: r6c4=7
Naked Single: r8c1=2
Full House: r7c1=3
Full House: r8c7=1
Naked Single: r4c3=1
Full House: r4c4=6
Full House: r3c4=2
Full House: r6c5=1
Full House: r6c3=4
Naked Single: r5c1=7
Full House: r5c3=2
Full House: r2c3=7
Naked Single: r3c9=6
Full House: r7c9=2
Full House: r7c7=6
Naked Single: r2c5=4
Naked Single: r3c7=4
Full House: r2c7=2
Full House: r2c1=6
Naked Single: r1c5=9
Full House: r1c1=4
Full House: r3c1=9
Full House: r3c5=7
|
normal_sudoku_5951 | 941826753.7.5..1..2853....61.29..4..4.71....5859..43...1.7.32.4.94.8..3..2.4..5.. | 941826753673549128285317946132958467467132895859674312516793284794285631328461579 | normal_sudoku_5951 | 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 2 6 7 5 3
. 7 . 5 . . 1 . .
2 8 5 3 . . . . 6
1 . 2 9 . . 4 . .
4 . 7 1 . . . . 5
8 5 9 . . 4 3 . .
. 1 . 7 . 3 2 . 4
. 9 4 . 8 . . 3 .
. 2 . 4 . . 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 941826753673549128285317946132958467467132895859674312516793284794285631328461579 #1 Easy (156)
Naked Single: r3c7=9
Naked Single: r2c6=9
Naked Single: r8c7=6
Full House: r5c7=8
Naked Single: r3c8=4
Naked Single: r2c5=4
Naked Single: r9c6=1
Naked Single: r8c4=2
Full House: r6c4=6
Naked Single: r4c9=7
Naked Single: r5c6=2
Naked Single: r3c6=7
Full House: r3c5=1
Naked Single: r8c6=5
Full House: r4c6=8
Naked Single: r5c5=3
Naked Single: r6c5=7
Full House: r4c5=5
Naked Single: r4c8=6
Full House: r4c2=3
Full House: r5c2=6
Full House: r5c8=9
Naked Single: r8c9=1
Full House: r8c1=7
Naked Single: r7c8=8
Naked Single: r6c9=2
Full House: r6c8=1
Naked Single: r2c8=2
Full House: r9c8=7
Full House: r9c9=9
Full House: r2c9=8
Naked Single: r7c3=6
Naked Single: r9c5=6
Full House: r7c5=9
Full House: r7c1=5
Naked Single: r2c3=3
Full House: r2c1=6
Full House: r9c1=3
Full House: r9c3=8
|
normal_sudoku_3338 | ..3.92176...8.72...7...358.3.9..4....6.3254972.79863.1..62.97.57...68923.....1... | 583492176691857234472613589359174862168325497247986351836249715714568923925731648 | normal_sudoku_3338 | 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 6
. . . 8 . 7 2 . .
. 7 . . . 3 5 8 .
3 . 9 . . 4 . . .
. 6 . 3 2 5 4 9 7
2 . 7 9 8 6 3 . 1
. . 6 2 . 9 7 . 5
7 . . . 6 8 9 2 3
. . . . . 1 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 583492176691857234472613589359174862168325497247986351836249715714568923925731648 #1 Easy (166)
Naked Single: r6c8=5
Full House: r6c2=4
Naked Single: r4c8=6
Naked Single: r4c7=8
Full House: r4c9=2
Full House: r9c7=6
Naked Single: r9c8=4
Naked Single: r2c8=3
Full House: r7c8=1
Full House: r9c9=8
Hidden Single: r3c3=2
Naked Single: r9c3=5
Naked Single: r8c2=1
Naked Single: r9c1=9
Naked Single: r9c4=7
Naked Single: r4c2=5
Naked Single: r8c3=4
Full House: r8c4=5
Naked Single: r4c4=1
Full House: r4c5=7
Naked Single: r9c5=3
Full House: r7c5=4
Full House: r9c2=2
Naked Single: r1c2=8
Naked Single: r2c2=9
Full House: r7c2=3
Full House: r7c1=8
Naked Single: r2c3=1
Full House: r5c3=8
Full House: r5c1=1
Naked Single: r1c4=4
Full House: r1c1=5
Full House: r3c4=6
Naked Single: r3c5=1
Full House: r2c5=5
Naked Single: r2c9=4
Full House: r2c1=6
Full House: r3c1=4
Full House: r3c9=9
|
normal_sudoku_6930 | .4.5..9.........63..9.6...7..82......5.6.8.2.9...4.7....5.....17...5.3...1.9.6.7. | 643572918572189463189463257468217539357698124921345786835724691796851342214936875 | normal_sudoku_6930 | 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 . . 9 . .
. . . . . . . 6 3
. . 9 . 6 . . . 7
. . 8 2 . . . . .
. 5 . 6 . 8 . 2 .
9 . . . 4 . 7 . .
. . 5 . . . . . 1
7 . . . 5 . 3 . .
. 1 . 9 . 6 . 7 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 643572918572189463189463257468217539357698124921345786835724691796851342214936875 #1 Extreme (12278)
2-String Kite: 7 in r2c2,r5c5 (connected by r4c2,r5c3) => r2c5<>7
Multi Colors 1: 7 (r2c2,r5c3) / (r4c2,r5c5), (r2c4) / (r7c4) => r7c5<>7
Forcing Chain Contradiction in r4c2 => r4c1<>3
r4c1=3 r4c2<>3
r4c1=3 r4c8<>3 r6c8=3 r6c8<>8 r6c9=8 r6c9<>6 r4c79=6 r4c2<>6
r4c1=3 r5c13<>3 r5c5=3 r5c5<>7 r5c3=7 r4c2<>7
Forcing Chain Contradiction in c8 => r4c8<>1
r4c8=1 r5c7<>1 r5c7=4 r23c7<>4 r3c8=4 r3c8<>5
r4c8=1 r4c8<>5
r4c8=1 r4c8<>3 r6c8=3 r6c8<>5
Forcing Chain Contradiction in c8 => r2c7<>1
r2c7=1 r5c7<>1 r5c7=4 r23c7<>4 r3c8=4 r3c8<>5
r2c7=1 r45c7<>1 r6c8=1 r6c8<>3 r4c8=3 r4c8<>5
r2c7=1 r45c7<>1 r6c8=1 r6c8<>5
Forcing Chain Contradiction in c8 => r3c7<>1
r3c7=1 r5c7<>1 r5c7=4 r23c7<>4 r3c8=4 r3c8<>5
r3c7=1 r45c7<>1 r6c8=1 r6c8<>3 r4c8=3 r4c8<>5
r3c7=1 r45c7<>1 r6c8=1 r6c8<>5
Locked Candidates Type 1 (Pointing): 1 in b3 => r6c8<>1
Forcing Chain Contradiction in r6 => r1c6<>1
r1c6=1 r12c5<>1 r45c5=1 r6c46<>1 r6c3=1 r6c3<>2 r6c2=2 r6c2<>6
r1c6=1 r12c5<>1 r45c5=1 r6c46<>1 r6c3=1 r6c3<>6
r1c6=1 r1c8<>1 r1c8=8 r6c8<>8 r6c9=8 r6c9<>6
Forcing Chain Contradiction in r4c2 => r4c8<>9
r4c8=9 r5c9<>9 r5c5=9 r5c5<>3 r5c13=3 r4c2<>3
r4c8=9 r4c8<>3 r6c8=3 r6c8<>8 r6c9=8 r6c9<>6 r4c79=6 r4c2<>6
r4c8=9 r5c9<>9 r5c5=9 r5c5<>7 r5c3=7 r4c2<>7
Locked Candidates Type 1 (Pointing): 9 in b6 => r8c9<>9
Forcing Chain Verity => r5c1<>1
r3c1=1 r5c1<>1
r3c4=1 r12c5<>1 r45c5=1 r6c46<>1 r6c3=1 r5c1<>1
r3c6=1 r12c5<>1 r45c5=1 r6c46<>1 r6c3=1 r5c1<>1
r3c8=1 r3c8<>4 r23c7=4 r5c7<>4 r5c7=1 r5c1<>1
Forcing Net Verity => r1c1<>1
r4c1=1 r1c1<>1
r5c3=1 r5c7<>1 r5c7=4 (r2c7<>4) r3c7<>4 r3c8=4 r3c8<>1 r1c8=1 r1c1<>1
r6c3=1 (r6c6<>1) r6c4<>1 r6c4=3 (r6c8<>3) r6c6<>3 r6c6=5 r6c8<>5 r6c8=8 r1c8<>8 r1c8=1 r1c1<>1
Forcing Net Verity => r2c1<>1
r4c1=1 r2c1<>1
r5c3=1 (r5c5<>1) r5c7<>1 (r4c7=1 r4c5<>1) r5c7=4 (r2c7<>4) r3c7<>4 r3c8=4 r3c8<>1 r1c8=1 r1c5<>1 r2c5=1 r2c1<>1
r6c3=1 r6c4<>1 r6c4=3 (r6c6<>3 r6c6=5 r6c8<>5) r6c8<>3 r4c8=3 r4c8<>5 r3c8=5 r2c7<>5 r2c1=5 r2c1<>1
Finned Swordfish: 1 r268 c346 fr2c5 => r3c46<>1
Forcing Net Contradiction in r5c3 => r1c3<>2
r1c3=2 r1c9<>2 r1c9=8 r6c9<>8 r6c8=8 (r6c8<>5) r6c8<>3 r4c8=3 r4c8<>5 r3c8=5 r3c8<>4 r23c7=4 r5c7<>4 r5c7=1 r5c3<>1
r1c3=2 (r1c3<>6 r1c1=6 r4c1<>6) r1c9<>2 r1c9=8 r1c8<>8 r1c8=1 r3c8<>1 r3c1=1 r4c1<>1 r4c1=4 r5c1<>4 r5c1=3 r5c3<>3
r1c3=2 (r1c3<>6 r1c1=6 r4c1<>6) r1c9<>2 r1c9=8 r1c8<>8 r1c8=1 r3c8<>1 r3c1=1 r4c1<>1 r4c1=4 r5c3<>4
r1c3=2 (r2c3<>2) r1c9<>2 r1c9=8 r1c8<>8 r1c8=1 r3c8<>1 r3c1=1 r2c3<>1 r2c3=7 r5c3<>7
Forcing Net Verity => r3c8<>8
r4c1=1 r3c1<>1 r3c8=1 r3c8<>8
r5c3=1 r5c7<>1 r5c7=4 (r2c7<>4) r3c7<>4 r3c8=4 r3c8<>8
r6c3=1 (r6c6<>1) r6c4<>1 r6c4=3 (r6c8<>3) r6c6<>3 r6c6=5 r6c8<>5 r6c8=8 r3c8<>8
Forcing Net Verity => r4c7<>4
r4c1=1 r3c1<>1 r3c8=1 r3c8<>4 r23c7=4 r4c7<>4
r5c3=1 r5c7<>1 r5c7=4 r4c7<>4
r6c3=1 r6c4<>1 r6c4=3 (r6c6<>3 r6c6=5 r6c8<>5) r6c8<>3 r4c8=3 r4c8<>5 r3c8=5 r3c8<>4 r23c7=4 r4c7<>4
Forcing Net Verity => r9c9=5
r4c1=1 r3c1<>1 r3c8=1 r3c8<>5 r23c7=5 r9c7<>5 r9c9=5
r4c5=1 (r4c7<>1) (r6c4<>1) r6c6<>1 r6c3=1 (r6c3<>6) r6c3<>2 r6c2=2 r6c2<>6 r6c9=6 r4c7<>6 r4c7=5 r9c7<>5 r9c9=5
r4c6=1 (r4c7<>1) (r6c4<>1 r6c4=3 r6c8<>3) r4c6<>5 r6c6=5 (r6c9<>5) r6c8<>5 r6c8=8 r6c9<>8 r6c9=6 r4c7<>6 r4c7=5 r9c7<>5 r9c9=5
r4c7=1 (r4c1<>1 r3c1=1 r3c1<>5) r5c7<>1 r5c7=4 (r2c7<>4) r3c7<>4 r3c8=4 r3c8<>5 r3c7=5 r9c7<>5 r9c9=5
Almost Locked Set XZ-Rule: A=r6c468 {1358}, B=r456c9,r5c7 {14689}, X=8, Z=1 => r5c5<>1
Forcing Net Contradiction in c5 => r5c7=1
r5c7<>1 r5c7=4 (r4c9<>4) r5c9<>4 r8c9=4 r8c9<>2 r1c9=2 r1c5<>2
r5c7<>1 (r4c7=1 r4c5<>1) r5c7=4 (r2c7<>4) r3c7<>4 r3c8=4 r3c8<>1 r1c8=1 r1c5<>1 r2c5=1 r2c5<>2
r5c7<>1 (r4c7=1 r4c7<>6 r7c7=6 r7c7<>2) r5c7=4 (r3c7<>4 r3c8=4 r3c8<>1 r3c1=1 r3c1<>2) (r3c7<>4 r3c8=4 r3c8<>1 r3c1=1 r3c1<>5 r3c7=5 r2c7<>5 r2c1=5 r2c1<>2) (r4c9<>4) r5c9<>4 r8c9=4 r8c9<>2 r1c9=2 (r1c1<>2) (r2c7<>2) r3c7<>2 r9c7=2 r9c1<>2 r7c1=2 r7c5<>2
r5c7<>1 (r4c7=1 r4c7<>6 r7c7=6 r7c7<>2) r5c7=4 (r4c9<>4) r5c9<>4 r8c9=4 r8c9<>2 r1c9=2 (r2c7<>2) r3c7<>2 r9c7=2 r9c5<>2
Grouped Discontinuous Nice Loop: 4 r4c8 -4- r45c9 =4= r8c9 =6= r7c7 -6- r4c7 -5- r23c7 =5= r3c8 =1= r3c1 -1- r4c1 =1= r6c3 -1- r6c4 -3- r6c8 =3= r4c8 => r4c8<>4
Locked Candidates Type 1 (Pointing): 4 in b6 => r8c9<>4
Naked Triple: 2,6,8 in r168c9 => r4c9<>6
Hidden Rectangle: 3/5 in r4c68,r6c68 => r6c6<>3
Forcing Chain Contradiction in r8c3 => r6c2=2
r6c2<>2 r6c3=2 r8c3<>2
r6c2<>2 r6c3=2 r6c3<>1 r4c1=1 r3c1<>1 r3c8=1 r3c8<>4 r23c7=4 r9c7<>4 r9c13=4 r8c3<>4
r6c2<>2 r6c3=2 r6c3<>1 r4c1=1 r3c1<>1 r3c8=1 r3c8<>5 r23c7=5 r4c7<>5 r4c7=6 r7c7<>6 r8c9=6 r8c3<>6
Finned X-Wing: 6 c27 r47 fr8c2 => r7c1<>6
Continuous Nice Loop: 3/8 6= r6c3 =1= r4c1 -1- r3c1 =1= r3c8 -1- r1c8 -8- r6c8 =8= r6c9 =6= r6c3 =1 => r6c3<>3, r78c8<>8
Locked Pair: 4,9 in r78c8 => r3c8,r79c7<>4
Locked Candidates Type 2 (Claiming): 4 in r9 => r7c1,r8c3<>4
Hidden Rectangle: 3/4 in r5c13,r9c13 => r9c3<>3
Sue de Coq: r12c3 - {12367} (r68c3 - {126}, r23c2 - {378}) => r13c1<>3, r123c1<>8, r9c3<>2
Naked Single: r9c3=4
Locked Candidates Type 1 (Pointing): 8 in b1 => r78c2<>8
Skyscraper: 2 in r1c9,r2c3 (connected by r8c39) => r1c1,r2c7<>2
Naked Single: r1c1=6
X-Wing: 6 r47 c27 => r8c2<>6
Naked Single: r8c2=9
Naked Single: r8c8=4
Naked Single: r7c8=9
Hidden Pair: 4,7 in r7c46 => r7c46<>3, r7c4<>8, r7c6<>2
Locked Candidates Type 1 (Pointing): 3 in b8 => r145c5<>3
Locked Candidates Type 2 (Claiming): 3 in r5 => r4c2<>3
Empty Rectangle: 2 in b8 (r28c3) => r2c5<>2
Empty Rectangle: 2 in b2 (r18c9) => r8c6<>2
Naked Single: r8c6=1
Naked Single: r6c6=5
Naked Single: r8c4=8
Locked Candidates Type 1 (Pointing): 2 in b8 => r1c5<>2
Locked Candidates Type 1 (Pointing): 8 in b9 => r23c7<>8
Hidden Single: r3c2=8
Naked Single: r2c2=7
Naked Single: r4c2=6
Full House: r7c2=3
Naked Single: r4c7=5
Naked Single: r6c3=1
Naked Single: r7c5=2
Naked Single: r2c7=4
Naked Single: r4c8=3
Naked Single: r1c3=3
Naked Single: r2c3=2
Naked Single: r4c1=4
Naked Single: r6c4=3
Naked Single: r7c1=8
Naked Single: r9c5=3
Naked Single: r2c4=1
Naked Single: r3c7=2
Naked Single: r6c8=8
Full House: r6c9=6
Naked Single: r5c3=7
Full House: r8c3=6
Full House: r5c1=3
Full House: r9c1=2
Full House: r9c7=8
Full House: r7c7=6
Full House: r8c9=2
Naked Single: r2c1=5
Full House: r3c1=1
Naked Single: r2c6=9
Full House: r2c5=8
Naked Single: r4c9=9
Full House: r5c9=4
Full House: r1c9=8
Full House: r5c5=9
Naked Single: r3c4=4
Full House: r7c4=7
Full House: r7c6=4
Naked Single: r1c8=1
Full House: r3c8=5
Full House: r3c6=3
Naked Single: r4c6=7
Full House: r1c6=2
Full House: r1c5=7
Full House: r4c5=1
|
normal_sudoku_5069 | 4...68.....3.4...8.8.2.54..6...5.3..3257.49....86.3.5.......135.7.5.1.4953.4...27 | 459368271213947568786215493647159382325784916198623754964872135872531649531496827 | normal_sudoku_5069 | 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 8 . . .
. . 3 . 4 . . . 8
. 8 . 2 . 5 4 . .
6 . . . 5 . 3 . .
3 2 5 7 . 4 9 . .
. . 8 6 . 3 . 5 .
. . . . . . 1 3 5
. 7 . 5 . 1 . 4 9
5 3 . 4 . . . 2 7 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 459368271213947568786215493647159382325784916198623754964872135872531649531496827 #1 Medium (320)
Hidden Single: r8c5=3
Hidden Single: r1c4=3
Hidden Single: r9c3=1
Hidden Single: r3c9=3
Hidden Single: r5c9=6
Locked Candidates Type 1 (Pointing): 9 in b7 => r7c456<>9
Naked Single: r7c4=8
Naked Single: r9c5=9
Naked Single: r9c6=6
Full House: r9c7=8
Full House: r8c7=6
Naked Single: r8c3=2
Full House: r8c1=8
Naked Single: r7c1=9
Hidden Single: r4c8=8
Naked Single: r5c8=1
Full House: r5c5=8
Hidden Single: r2c1=2
Hidden Single: r6c2=9
Hidden Single: r4c3=7
Naked Single: r1c3=9
Naked Single: r6c1=1
Full House: r3c1=7
Full House: r4c2=4
Naked Single: r1c8=7
Naked Single: r3c3=6
Full House: r7c3=4
Full House: r7c2=6
Naked Single: r6c5=2
Naked Single: r3c5=1
Full House: r3c8=9
Full House: r7c5=7
Full House: r2c8=6
Full House: r7c6=2
Naked Single: r4c9=2
Naked Single: r2c7=5
Naked Single: r4c6=9
Full House: r2c6=7
Full House: r2c4=9
Full House: r2c2=1
Full House: r4c4=1
Full House: r1c2=5
Naked Single: r6c7=7
Full House: r6c9=4
Full House: r1c9=1
Full House: r1c7=2
|
normal_sudoku_1548 | 8.63.4.1.4....2..6...65.4.83295...64174968...5684..79..437.5.8.7....6.42....4.5.. | 856394217437182956912657438329571864174968325568423791243715689795836142681249573 | normal_sudoku_1548 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 8 . 6 3 . 4 . 1 .
4 . . . . 2 . . 6
. . . 6 5 . 4 . 8
3 2 9 5 . . . 6 4
1 7 4 9 6 8 . . .
5 6 8 4 . . 7 9 .
. 4 3 7 . 5 . 8 .
7 . . . . 6 . 4 2
. . . . 4 . 5 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 856394217437182956912657438329571864174968325568423791243715689795836142681249573 #1 Easy (190)
Hidden Single: r4c7=8
Hidden Single: r6c5=2
Hidden Single: r1c7=2
Naked Single: r5c7=3
Naked Single: r2c7=9
Naked Single: r5c9=5
Full House: r5c8=2
Full House: r6c9=1
Full House: r6c6=3
Naked Single: r8c7=1
Full House: r7c7=6
Naked Single: r1c9=7
Naked Single: r7c9=9
Full House: r9c9=3
Full House: r9c8=7
Naked Single: r8c3=5
Naked Single: r8c4=8
Naked Single: r1c5=9
Full House: r1c2=5
Naked Single: r3c8=3
Full House: r2c8=5
Naked Single: r7c1=2
Full House: r7c5=1
Naked Single: r2c4=1
Full House: r9c4=2
Naked Single: r8c2=9
Full House: r8c5=3
Full House: r9c6=9
Naked Single: r3c1=9
Full House: r9c1=6
Naked Single: r9c3=1
Full House: r9c2=8
Naked Single: r4c5=7
Full House: r2c5=8
Full House: r3c6=7
Full House: r4c6=1
Naked Single: r2c2=3
Full House: r2c3=7
Full House: r3c2=1
Full House: r3c3=2
|
normal_sudoku_1787 | ..46.......5.8...686...51....274...1..19...3.48.3.12..59.8...122....9..8..85..9.. | 314697825725184396869235147932746581651928734487351269596873412273419658148562973 | normal_sudoku_1787 | 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 . . . . .
. . 5 . 8 . . . 6
8 6 . . . 5 1 . .
. . 2 7 4 . . . 1
. . 1 9 . . . 3 .
4 8 . 3 . 1 2 . .
5 9 . 8 . . . 1 2
2 . . . . 9 . . 8
. . 8 5 . . 9 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 314697825725184396869235147932746581651928734487351269596873412273419658148562973 #1 Extreme (7118)
Locked Candidates Type 2 (Claiming): 2 in c4 => r1c56,r2c6,r3c5<>2
X-Wing: 9 r24 c18 => r1c18,r36c8<>9
Discontinuous Nice Loop: 3 r1c2 -3- r4c2 =3= r4c1 =9= r4c8 =8= r1c8 =2= r1c2 => r1c2<>3
Discontinuous Nice Loop: 1 r2c1 -1- r2c4 =1= r1c5 =9= r1c9 -9- r2c8 =9= r2c1 => r2c1<>1
Discontinuous Nice Loop: 1 r9c2 -1- r2c2 =1= r2c4 -1- r8c4 -4- r8c2 =4= r9c2 => r9c2<>1
Grouped Discontinuous Nice Loop: 5 r1c8 =8= r4c8 =9= r4c1 =3= r4c2 =5= r4c78 -5- r56c9 =5= r1c9 -5- r1c8 => r1c8<>5
Discontinuous Nice Loop: 4 r8c8 -4- r8c4 -1- r2c4 =1= r1c5 =9= r1c9 =5= r1c7 -5- r8c7 =5= r8c8 => r8c8<>4
Grouped Discontinuous Nice Loop: 7 r5c9 -7- r5c12 =7= r6c3 =9= r6c9 -9- r1c9 =9= r1c5 =1= r2c4 -1- r8c4 -4- r7c6 =4= r7c7 -4- r5c7 =4= r5c9 => r5c9<>7
Grouped Discontinuous Nice Loop: 7 r9c2 -7- r5c2 -5- r4c2 =5= r4c78 -5- r56c9 =5= r1c9 =9= r1c5 =1= r2c4 -1- r8c4 -4- r8c2 =4= r9c2 => r9c2<>7
Almost Locked Set XZ-Rule: A=r49c2 {345}, B=r689c8 {4567}, X=4, Z=5 => r4c8<>5
Almost Locked Set XY-Wing: A=r1c16 {137}, B=r689c8 {4567}, C=r12459c2 {123457}, X,Y=1,4, Z=7 => r1c8<>7
Almost Locked Set XY-Wing: A=r4c267 {3568}, B=r689c8 {4567}, C=r9c2 {34}, X,Y=3,4, Z=6 => r4c8<>6
Forcing Chain Contradiction in c9 => r5c9=4
r5c9<>4 r5c7=4 r7c7<>4 r7c6=4 r8c4<>4 r8c4=1 r2c4<>1 r1c5=1 r1c5<>9 r1c9=9 r1c9<>3
r5c9<>4 r5c7=4 r78c7<>4 r9c89=4 r9c2<>4 r9c2=3 r78c3<>3 r3c3=3 r3c9<>3
r5c9<>4 r5c7=4 r78c7<>4 r9c89=4 r9c2<>4 r9c2=3 r9c9<>3
Naked Triple: 3,7,9 in r3c359 => r3c8<>7
Grouped Discontinuous Nice Loop: 6 r7c7 -6- r45c7 =6= r6c8 -6- r6c5 -5- r6c9 =5= r1c9 =9= r1c5 =1= r2c4 -1- r8c4 -4- r7c6 =4= r7c7 => r7c7<>6
Almost Locked Set Chain: 37- r1c16 {137} -1- r9c12689 {123467} -2- r136789c5 {1235679} -5- r369c9 {3579} -37 => r1c9<>3, r1c9<>7
Sashimi X-Wing: 3 c39 r39 fr7c3 fr8c3 => r9c12<>3
Naked Single: r9c2=4
Locked Candidates Type 1 (Pointing): 4 in b9 => r2c7<>4
Naked Triple: 5,6,7 in r689c8 => r2c8<>7
Finned Franken Swordfish: 3 r39b7 c359 fr8c2 fr9c6 => r8c5<>3
Finned Franken Swordfish: 6 r67b9 c358 fr7c6 fr8c7 => r8c5<>6
Forcing Chain Contradiction in r1 => r8c8=5
r8c8<>5 r6c8=5 r6c5<>5 r5c5=5 r5c5<>2 r9c5=2 r9c5<>1 r9c1=1 r1c1<>1
r8c8<>5 r6c8=5 r6c5<>5 r6c5=6 r4c6<>6 r4c6=8 r4c8<>8 r1c8=8 r1c8<>2 r1c2=2 r1c2<>1
r8c8<>5 r8c7=5 r8c7<>4 r8c4=4 r8c4<>1 r2c4=1 r1c5<>1
2-String Kite: 6 in r6c8,r8c3 (connected by r8c7,r9c8) => r6c3<>6
Locked Candidates Type 1 (Pointing): 6 in b4 => r9c1<>6
Finned X-Wing: 6 r69 c58 fr9c6 => r7c5<>6
Hidden Triple: 2,5,6 in r569c5 => r9c5<>1, r9c5<>3, r9c5<>7
Hidden Single: r9c1=1
Naked Pair: 3,7 in r1c16 => r1c257<>7, r1c57<>3
Naked Triple: 3,7,9 in r12c1,r3c3 => r2c2<>3, r2c2<>7
Hidden Pair: 3,7 in r2c7,r3c9 => r3c9<>9
Naked Pair: 3,7 in r39c9 => r6c9<>7
Skyscraper: 3 in r7c5,r9c9 (connected by r3c59) => r7c7,r9c6<>3
Hidden Single: r9c9=3
Naked Single: r3c9=7
Naked Single: r2c7=3
Locked Candidates Type 1 (Pointing): 7 in b1 => r5c1<>7
Naked Single: r5c1=6
Locked Candidates Type 1 (Pointing): 7 in b2 => r79c6<>7
Hidden Single: r9c8=7
Naked Single: r6c8=6
Naked Single: r7c7=4
Full House: r8c7=6
Naked Single: r6c5=5
Naked Single: r5c5=2
Naked Single: r6c9=9
Full House: r1c9=5
Full House: r6c3=7
Naked Single: r5c6=8
Full House: r4c6=6
Naked Single: r9c5=6
Full House: r9c6=2
Naked Single: r4c8=8
Naked Single: r1c7=8
Naked Single: r5c2=5
Full House: r5c7=7
Full House: r4c7=5
Naked Single: r8c3=3
Naked Single: r7c6=3
Naked Single: r1c8=2
Naked Single: r4c2=3
Full House: r4c1=9
Naked Single: r3c3=9
Full House: r7c3=6
Full House: r8c2=7
Full House: r7c5=7
Naked Single: r1c6=7
Full House: r2c6=4
Naked Single: r1c2=1
Full House: r2c2=2
Naked Single: r3c8=4
Full House: r2c8=9
Naked Single: r2c1=7
Full House: r1c1=3
Full House: r1c5=9
Full House: r2c4=1
Naked Single: r3c5=3
Full House: r8c5=1
Full House: r3c4=2
Full House: r8c4=4
|
normal_sudoku_1580 | 63..5......9..73..7..3....49...3.24..84129..6..2.45..8..75....3.9..738..8.3.1.... | 638254719419867325725391684956738241384129576172645938247586193591473862863912457 | normal_sudoku_1580 | 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 . . 5 . . . .
. . 9 . . 7 3 . .
7 . . 3 . . . . 4
9 . . . 3 . 2 4 .
. 8 4 1 2 9 . . 6
. . 2 . 4 5 . . 8
. . 7 5 . . . . 3
. 9 . . 7 3 8 . .
8 . 3 . 1 . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 638254719419867325725391684956738241384129576172645938247586193591473862863912457 #1 Extreme (3092)
Locked Candidates Type 1 (Pointing): 4 in b1 => r2c4<>4
Locked Candidates Type 2 (Claiming): 7 in r5 => r4c9,r6c78<>7
Naked Triple: 1,3,9 in r6c178 => r6c2<>1
Naked Triple: 1,2,5 in r248c9 => r1c9<>1, r19c9<>2, r9c9<>5
X-Wing: 9 c49 r19 => r1c78,r9c78<>9
2-String Kite: 6 in r6c4,r8c3 (connected by r4c3,r6c2) => r8c4<>6
W-Wing: 6/8 in r2c5,r4c6 connected by 8 in r7c56 => r3c6<>6
XY-Wing: 1/7/9 in r1c79,r6c7 => r3c7<>9
XY-Wing: 5/7/1 in r15c7,r4c9 => r2c9,r6c7<>1
Naked Single: r6c7=9
2-String Kite: 1 in r6c1,r8c9 (connected by r4c9,r6c8) => r8c1<>1
Uniqueness Test 4: 6/7 in r4c24,r6c24 => r4c24<>6
Finned Swordfish: 1 r267 c128 fr7c7 => r8c8<>1
Sue de Coq: r12c4 - {24689} (r8c4 - {24}, r23c5 - {689}) => r13c6<>8, r9c4<>2, r9c4<>4
Discontinuous Nice Loop: 1 r1c3 -1- r1c7 -7- r5c7 -5- r4c9 -1- r8c9 =1= r8c3 -1- r1c3 => r1c3<>1
Naked Single: r1c3=8
Naked Triple: 1,2,5 in r3c236 => r3c78<>1, r3c78<>5, r3c8<>2
Naked Single: r3c7=6
Locked Candidates Type 1 (Pointing): 5 in b3 => r2c12<>5
Skyscraper: 5 in r8c1,r9c7 (connected by r5c17) => r8c89,r9c2<>5
W-Wing: 1/5 in r3c3,r4c9 connected by 5 in r34c2 => r4c3<>1
Skyscraper: 1 in r4c2,r8c3 (connected by r48c9) => r7c2<>1
W-Wing: 5/1 in r3c3,r4c9 connected by 1 in r8c39 => r4c3<>5
Naked Single: r4c3=6
Naked Single: r4c6=8
Naked Single: r6c2=7
Naked Single: r4c4=7
Full House: r6c4=6
Naked Single: r9c4=9
Naked Single: r9c9=7
Naked Single: r1c9=9
Naked Single: r3c8=8
Naked Single: r3c5=9
Hidden Single: r8c8=6
Hidden Single: r2c4=8
Naked Single: r2c5=6
Full House: r7c5=8
Hidden Single: r7c8=9
Skyscraper: 2 in r1c4,r2c9 (connected by r8c49) => r1c8<>2
Locked Pair: 1,7 in r1c78 => r1c6,r2c8<>1
Hidden Single: r3c6=1
Naked Single: r3c3=5
Full House: r3c2=2
Full House: r8c3=1
Naked Single: r8c9=2
Naked Single: r2c9=5
Full House: r4c9=1
Full House: r4c2=5
Naked Single: r8c4=4
Full House: r1c4=2
Full House: r8c1=5
Full House: r1c6=4
Naked Single: r9c8=5
Naked Single: r2c8=2
Naked Single: r6c8=3
Full House: r6c1=1
Full House: r5c1=3
Naked Single: r9c7=4
Full House: r7c7=1
Naked Single: r5c8=7
Full House: r1c8=1
Full House: r1c7=7
Full House: r5c7=5
Naked Single: r2c1=4
Full House: r2c2=1
Full House: r7c1=2
Naked Single: r9c2=6
Full House: r7c2=4
Full House: r7c6=6
Full House: r9c6=2
|
normal_sudoku_138 | 2......87.7..8.6....8..9.1...35.8.9.5...67823.....35....419...8.9.83..4......4... | 235641987971382654648759312763528491519467823482913576324195768197836245856274139 | normal_sudoku_138 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 2 . . . . . . 8 7
. 7 . . 8 . 6 . .
. . 8 . . 9 . 1 .
. . 3 5 . 8 . 9 .
5 . . . 6 7 8 2 3
. . . . . 3 5 . .
. . 4 1 9 . . . 8
. 9 . 8 3 . . 4 .
. . . . . 4 . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 235641987971382654648759312763528491519467823482913576324195768197836245856274139 #1 Extreme (7934)
Locked Candidates Type 1 (Pointing): 1 in b5 => r1c5<>1
Locked Candidates Type 1 (Pointing): 7 in b8 => r9c1378<>7
Locked Candidates Type 2 (Claiming): 1 in r5 => r4c12,r6c123<>1
Skyscraper: 7 in r7c8,r8c3 (connected by r6c38) => r7c1,r8c7<>7
Grouped Discontinuous Nice Loop: 1 r8c3 -1- r5c3 -9- r6c1 =9= r2c1 =1= r89c1 -1- r8c3 => r8c3<>1
Grouped Discontinuous Nice Loop: 1 r9c3 -1- r5c3 -9- r6c1 =9= r2c1 =1= r89c1 -1- r9c3 => r9c3<>1
Almost Locked Set XY-Wing: A=r1c23456 {134569}, B=r2c8 {35}, C=r25c3 {159}, X,Y=5,9, Z=3 => r1c7<>3
Almost Locked Set XZ-Rule: A=r9c3458 {23567}, B=r14789c7 {123479}, X=3, Z=2 => r9c9<>2
Finned Franken Swordfish: 4 r25b6 c149 fr4c7 fr5c2 => r4c1<>4
Discontinuous Nice Loop: 3 r7c7 -3- r7c1 -6- r4c1 -7- r4c7 =7= r7c7 => r7c7<>3
Almost Locked Set XY-Wing: A=r25c3 {159}, B=r13478c7 {123479}, C=r2c8 {35}, X,Y=3,5, Z=9 => r1c3<>9
Hidden Single: r1c7=9
Hidden Single: r9c9=9
Finned X-Wing: 4 r15 c24 fr1c5 => r23c4<>4
Discontinuous Nice Loop: 4 r4c2 -4- r4c7 =4= r3c7 -4- r2c9 =4= r2c1 =9= r2c3 -9- r5c3 -1- r5c2 -4- r4c2 => r4c2<>4
Discontinuous Nice Loop: 7 r6c1 -7- r6c8 =7= r4c7 =4= r3c7 -4- r2c9 =4= r2c1 =9= r6c1 => r6c1<>7
Grouped Discontinuous Nice Loop: 6 r8c3 -6- r8c9 =6= r79c8 -6- r6c8 -7- r6c3 =7= r8c3 => r8c3<>6
Almost Locked Set XZ-Rule: A=r347c1 {3467}, B=r3789c7 {12347}, X=4, Z=7 => r4c7<>7
Hidden Single: r4c1=7
Hidden Single: r7c7=7
Hidden Single: r6c8=7
Hidden Single: r8c3=7
Locked Candidates Type 1 (Pointing): 6 in b6 => r8c9<>6
Skyscraper: 2 in r4c5,r7c6 (connected by r47c2) => r9c5<>2
Empty Rectangle: 5 in b3 (r8c69) => r2c6<>5
Grouped Discontinuous Nice Loop: 3 r3c1 -3- r3c7 =3= r9c7 =1= r8c79 -1- r8c1 -6- r7c1 -3- r3c1 => r3c1<>3
Discontinuous Nice Loop: 5 r2c9 -5- r8c9 =5= r8c6 =6= r8c1 -6- r3c1 -4- r2c1 =4= r2c9 => r2c9<>5
AIC: 4 4- r2c9 -2- r2c4 -3- r2c8 =3= r3c7 =4= r4c7 -4 => r3c7,r46c9<>4
Hidden Single: r4c7=4
Locked Candidates Type 1 (Pointing): 1 in b6 => r8c9<>1
Discontinuous Nice Loop: 3 r3c4 -3- r3c7 =3= r2c8 =5= r3c9 -5- r8c9 =5= r8c6 -5- r9c5 -7- r9c4 =7= r3c4 => r3c4<>3
Almost Locked Set XZ-Rule: A=r7c18 {356}, B=r8c179 {1256}, X=5, Z=6 => r7c2<>6
Almost Locked Set XZ-Rule: A=r125c3 {1569}, B=r1c456,r2c46 {123456}, X=6, Z=5 => r1c2<>5
Almost Locked Set XY-Wing: A=r7c18 {356}, B=r1c23,r2c3,r3c12 {134569}, C=r2c14689 {123459}, X,Y=5,9, Z=3 => r7c2<>3
Almost Locked Set XY-Wing: A=r9c5 {57}, B=r125c3 {1569}, C=r3c12579 {234567}, X,Y=6,7, Z=5 => r9c3<>5
Locked Candidates Type 1 (Pointing): 5 in b7 => r3c2<>5
Skyscraper: 5 in r3c5,r8c6 (connected by r38c9) => r1c6,r9c5<>5
Naked Single: r9c5=7
Hidden Single: r3c4=7
Locked Candidates Type 1 (Pointing): 6 in b2 => r1c23<>6
Naked Pair: 2,6 in r9c34 => r9c128<>6, r9c27<>2
Hidden Single: r7c8=6
Naked Single: r7c1=3
Locked Candidates Type 1 (Pointing): 2 in b9 => r8c6<>2
Naked Triple: 1,5,9 in r125c3 => r6c3<>9
Naked Pair: 2,6 in r4c2,r6c3 => r6c12<>6, r6c2<>2
XY-Chain: 4 4- r1c5 -5- r1c3 -1- r1c6 -6- r8c6 -5- r8c9 -2- r8c7 -1- r8c1 -6- r3c1 -4 => r1c2,r3c5<>4
W-Wing: 1/3 in r1c2,r9c7 connected by 3 in r3c27 => r9c2<>1
Locked Candidates Type 1 (Pointing): 1 in b7 => r2c1<>1
W-Wing: 5/2 in r3c5,r8c9 connected by 2 in r38c7 => r3c9<>5
Hidden Single: r3c5=5
Naked Single: r1c5=4
Hidden Single: r8c9=5
Naked Single: r8c6=6
Naked Single: r9c8=3
Full House: r2c8=5
Naked Single: r1c6=1
Naked Single: r8c1=1
Full House: r8c7=2
Full House: r9c7=1
Full House: r3c7=3
Naked Single: r9c4=2
Full House: r7c6=5
Full House: r2c6=2
Full House: r7c2=2
Naked Single: r1c2=3
Naked Single: r1c3=5
Full House: r1c4=6
Full House: r2c4=3
Naked Single: r9c1=8
Naked Single: r9c3=6
Full House: r9c2=5
Naked Single: r2c9=4
Full House: r3c9=2
Naked Single: r4c2=6
Naked Single: r6c3=2
Naked Single: r2c1=9
Full House: r2c3=1
Full House: r5c3=9
Naked Single: r3c2=4
Full House: r3c1=6
Full House: r6c1=4
Naked Single: r4c9=1
Full House: r4c5=2
Full House: r6c5=1
Full House: r6c9=6
Naked Single: r5c4=4
Full House: r5c2=1
Full House: r6c2=8
Full House: r6c4=9
|
normal_sudoku_5561 | 189624537..45..2...7..3...4....8....41.9..3....62..9....17...52..7315..9....6.713 | 189624537634571298572839164923186475418957326756243981341798652267315849895462713 | normal_sudoku_5561 | 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 6 2 4 5 3 7
. . 4 5 . . 2 . .
. 7 . . 3 . . . 4
. . . . 8 . . . .
4 1 . 9 . . 3 . .
. . 6 2 . . 9 . .
. . 1 7 . . . 5 2
. . 7 3 1 5 . . 9
. . . . 6 . 7 1 3 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 189624537634571298572839164923186475418957326756243981341798652267315849895462713 #1 Easy (250)
Hidden Single: r9c6=2
Hidden Single: r4c3=3
Naked Single: r6c2=5
Hidden Single: r6c6=3
Hidden Single: r4c9=5
Hidden Single: r5c5=5
Hidden Single: r6c9=1
Hidden Single: r2c6=1
Naked Single: r3c4=8
Naked Single: r3c6=9
Full House: r2c5=7
Naked Single: r9c4=4
Full House: r4c4=1
Naked Single: r3c8=6
Naked Single: r7c6=8
Full House: r7c5=9
Full House: r6c5=4
Naked Single: r9c2=9
Naked Single: r2c9=8
Full House: r5c9=6
Naked Single: r3c7=1
Full House: r2c8=9
Naked Single: r4c2=2
Naked Single: r4c7=4
Naked Single: r5c6=7
Full House: r4c6=6
Naked Single: r5c3=8
Full House: r5c8=2
Naked Single: r4c8=7
Full House: r4c1=9
Full House: r6c1=7
Full House: r6c8=8
Full House: r8c8=4
Naked Single: r7c7=6
Full House: r8c7=8
Naked Single: r9c3=5
Full House: r3c3=2
Full House: r9c1=8
Full House: r3c1=5
Naked Single: r8c2=6
Full House: r8c1=2
Naked Single: r7c1=3
Full House: r2c1=6
Full House: r2c2=3
Full House: r7c2=4
|
normal_sudoku_654 | ..9.6.2..1....2..6246.5..3.8...3....4518.76.3.6.51478...4...9616.81..3...1..4..7. | 739461258185372496246958137897236514451897623362514789524783961678129345913645872 | normal_sudoku_654 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . 9 . 6 . 2 . .
1 . . . . 2 . . 6
2 4 6 . 5 . . 3 .
8 . . . 3 . . . .
4 5 1 8 . 7 6 . 3
. 6 . 5 1 4 7 8 .
. . 4 . . . 9 6 1
6 . 8 1 . . 3 . .
. 1 . . 4 . . 7 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 739461258185372496246958137897236514451897623362514789524783961678129345913645872 #1 Extreme (2146)
Locked Candidates Type 1 (Pointing): 8 in b9 => r9c6<>8
Naked Pair: 2,9 in r5c8,r6c9 => r4c89<>2, r4c89<>9
Empty Rectangle: 9 in b5 (r48c2) => r8c5<>9
X-Wing: 9 c58 r25 => r2c4<>9
Hidden Rectangle: 6/9 in r4c46,r9c46 => r9c4<>9
Locked Candidates Type 1 (Pointing): 9 in b8 => r34c6<>9
Naked Single: r4c6=6
Hidden Single: r9c4=6
Naked Pair: 1,8 in r3c67 => r3c9<>8
X-Wing: 2 r69 c39 => r4c3,r8c9<>2
Naked Single: r4c3=7
Naked Pair: 4,5 in r48c9 => r1c9<>4, r19c9<>5
Sue de Coq: r1c12 - {3578} (r1c9 - {78}, r2c3 - {35}) => r2c2<>3, r1c4<>7, r1c6<>8
2-String Kite: 3 in r2c4,r7c2 (connected by r1c2,r2c3) => r7c4<>3
Locked Candidates Type 1 (Pointing): 3 in b8 => r1c6<>3
Naked Single: r1c6=1
Naked Single: r3c6=8
Naked Single: r3c7=1
Hidden Single: r4c8=1
Hidden Single: r7c5=8
Naked Pair: 7,9 in r2c5,r3c4 => r2c4<>7
X-Wing: 2 r47 c24 => r8c2<>2
X-Wing: 7 r28 c25 => r17c2<>7
XY-Wing: 2/9/3 in r47c2,r6c1 => r79c1<>3
Naked Triple: 5,7,9 in r79c1,r8c2 => r9c3<>5
Hidden Single: r2c3=5
Hidden Single: r1c8=5
Hidden Single: r2c4=3
Naked Single: r1c4=4
Bivalue Universal Grave + 1 => r9c6<>3, r9c6<>9
Naked Single: r9c6=5
Naked Single: r7c6=3
Full House: r8c6=9
Naked Single: r9c1=9
Naked Single: r9c7=8
Naked Single: r7c2=2
Naked Single: r8c2=7
Naked Single: r6c1=3
Naked Single: r2c7=4
Full House: r4c7=5
Naked Single: r9c9=2
Full House: r9c3=3
Full House: r7c1=5
Full House: r7c4=7
Full House: r8c5=2
Full House: r1c1=7
Full House: r6c3=2
Full House: r4c2=9
Full House: r6c9=9
Naked Single: r2c2=8
Full House: r1c2=3
Full House: r1c9=8
Naked Single: r2c8=9
Full House: r3c9=7
Full House: r3c4=9
Full House: r4c4=2
Full House: r4c9=4
Full House: r5c5=9
Full House: r5c8=2
Full House: r8c8=4
Full House: r2c5=7
Full House: r8c9=5
|
normal_sudoku_2885 | ..9.418.5.58.7...11..8...6.5..138..6.812..53...37..18.3.54...9.9..5.361.826917453 | 269341875458679321137852964592138746781264539643795182315486297974523618826917453 | normal_sudoku_2885 | 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
. 5 8 . 7 . . . 1
1 . . 8 . . . 6 .
5 . . 1 3 8 . . 6
. 8 1 2 . . 5 3 .
. . 3 7 . . 1 8 .
3 . 5 4 . . . 9 .
9 . . 5 . 3 6 1 .
8 2 6 9 1 7 4 5 3 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 269341875458679321137852964592138746781264539643795182315486297974523618826917453 #1 Hard (758)
Hidden Single: r7c2=1
Locked Candidates Type 1 (Pointing): 7 in b7 => r8c9<>7
Locked Candidates Type 2 (Claiming): 6 in c4 => r2c6<>6
Skyscraper: 2 in r1c8,r6c9 (connected by r16c1) => r3c9,r4c8<>2
Locked Candidates Type 2 (Claiming): 2 in c8 => r23c7<>2
Skyscraper: 7 in r4c8,r5c1 (connected by r1c18) => r4c23,r5c9<>7
Hidden Single: r5c1=7
Locked Candidates Type 1 (Pointing): 6 in b4 => r6c56<>6
Skyscraper: 4 in r4c8,r6c1 (connected by r2c18) => r4c23,r6c9<>4
Naked Single: r4c2=9
Naked Single: r4c3=2
Naked Single: r4c7=7
Full House: r4c8=4
Naked Single: r7c7=2
Naked Single: r2c8=2
Full House: r1c8=7
Naked Single: r5c9=9
Full House: r6c9=2
Naked Single: r7c6=6
Naked Single: r8c9=8
Full House: r7c9=7
Full House: r3c9=4
Full House: r7c5=8
Full House: r8c5=2
Naked Single: r2c6=9
Naked Single: r5c5=6
Full House: r5c6=4
Naked Single: r3c3=7
Full House: r8c3=4
Full House: r8c2=7
Naked Single: r2c7=3
Full House: r3c7=9
Naked Single: r3c5=5
Full House: r6c5=9
Full House: r6c6=5
Full House: r3c6=2
Full House: r3c2=3
Naked Single: r2c4=6
Full House: r1c4=3
Full House: r2c1=4
Naked Single: r1c2=6
Full House: r1c1=2
Full House: r6c1=6
Full House: r6c2=4
|
normal_sudoku_387 | .81.92.45...3...1...6..129..5..2.4816...4.95........26.4..5...9..3..7.6..6.23..7. | 381792645925364718476581293759623481632148957814975326247856139593417862168239574 | normal_sudoku_387 | 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 2 . 4 5
. . . 3 . . . 1 .
. . 6 . . 1 2 9 .
. 5 . . 2 . 4 8 1
6 . . . 4 . 9 5 .
. . . . . . . 2 6
. 4 . . 5 . . . 9
. . 3 . . 7 . 6 .
. 6 . 2 3 . . 7 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 381792645925364718476581293759623481632148957814975326247856139593417862168239574 #1 Easy (202)
Full House: r7c8=3
Hidden Single: r2c5=6
Naked Single: r1c4=7
Naked Single: r1c1=3
Full House: r1c7=6
Naked Single: r3c5=8
Naked Single: r3c2=7
Naked Single: r8c5=1
Full House: r6c5=7
Naked Single: r3c9=3
Naked Single: r6c7=3
Full House: r5c9=7
Naked Single: r2c9=8
Full House: r2c7=7
Naked Single: r9c9=4
Full House: r8c9=2
Naked Single: r8c2=9
Naked Single: r2c2=2
Naked Single: r6c2=1
Full House: r5c2=3
Naked Single: r5c6=8
Naked Single: r5c3=2
Full House: r5c4=1
Naked Single: r7c6=6
Naked Single: r9c6=9
Naked Single: r7c4=8
Full House: r8c4=4
Naked Single: r4c6=3
Naked Single: r6c6=5
Full House: r2c6=4
Full House: r3c4=5
Full House: r3c1=4
Naked Single: r7c3=7
Naked Single: r7c7=1
Full House: r7c1=2
Naked Single: r6c4=9
Full House: r4c4=6
Naked Single: r4c3=9
Full House: r4c1=7
Naked Single: r6c1=8
Full House: r6c3=4
Naked Single: r2c3=5
Full House: r2c1=9
Full House: r9c3=8
Naked Single: r8c1=5
Full House: r8c7=8
Full House: r9c7=5
Full House: r9c1=1
|
normal_sudoku_23 | 2.4.79.31...2.39.4.3.41.72.1.794.2.3....21.4742.63719.......4..84.1...7.6....4..2 | 264579831718263954539418726187945263396821547425637198972386415843152679651794382 | normal_sudoku_23 | 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 . 7 9 . 3 1
. . . 2 . 3 9 . 4
. 3 . 4 1 . 7 2 .
1 . 7 9 4 . 2 . 3
. . . . 2 1 . 4 7
4 2 . 6 3 7 1 9 .
. . . . . . 4 . .
8 4 . 1 . . . 7 .
6 . . . . 4 . . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 264579831718263954539418726187945263396821547425637198972386415843152679651794382 #1 Hard (724)
Naked Pair: 5,8 in r15c4 => r79c4<>5, r79c4<>8
Skyscraper: 6 in r1c7,r4c8 (connected by r14c2) => r2c8,r5c7<>6
Hidden Single: r4c8=6
Naked Pair: 5,8 in r4c2,r6c3 => r5c123<>5, r5c23<>8
Remote Pair: 5/8 r1c4 -8- r5c4 -5- r4c6 -8- r4c2 => r1c2<>5, r1c2<>8
Naked Single: r1c2=6
Naked Single: r5c2=9
Naked Single: r5c1=3
Naked Single: r5c3=6
Hidden Single: r8c7=6
Hidden Single: r3c9=6
Hidden Single: r2c5=6
Hidden Single: r8c3=3
Hidden Single: r9c7=3
Naked Single: r9c4=7
Naked Single: r7c4=3
Hidden Single: r7c6=6
Hidden Single: r8c6=2
Hidden Single: r7c3=2
Remote Pair: 5/8 r2c8 -8- r1c7 -5- r1c4 -8- r3c6 -5- r4c6 -8- r5c4 -5- r5c7 -8- r6c9 -5- r6c3 -8- r4c2 => r2c2,r3c3<>5, r2c2,r3c3<>8
Naked Single: r3c3=9
Naked Single: r3c1=5
Full House: r3c6=8
Full House: r1c4=5
Full House: r4c6=5
Full House: r1c7=8
Full House: r5c4=8
Full House: r4c2=8
Full House: r2c8=5
Full House: r5c7=5
Full House: r6c3=5
Full House: r6c9=8
Naked Single: r2c1=7
Full House: r7c1=9
Naked Single: r9c3=1
Full House: r2c3=8
Full House: r2c2=1
Naked Single: r7c9=5
Full House: r8c9=9
Full House: r8c5=5
Naked Single: r9c2=5
Full House: r7c2=7
Naked Single: r9c8=8
Full House: r7c8=1
Full House: r7c5=8
Full House: r9c5=9
|
normal_sudoku_1461 | ....19.46...4..2.3...2.391....6.1.922..397154.9..4236.8.5.2..3.....3.4...3.1...2. | 328719546619485273457263918743651892286397154591842367865924731172536489934178625 | normal_sudoku_1461 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | . . . . 1 9 . 4 6
. . . 4 . . 2 . 3
. . . 2 . 3 9 1 .
. . . 6 . 1 . 9 2
2 . . 3 9 7 1 5 4
. 9 . . 4 2 3 6 .
8 . 5 . 2 . . 3 .
. . . . 3 . 4 . .
. 3 . 1 . . . 2 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 328719546619485273457263918743651892286397154591842367865924731172536489934178625 #1 Extreme (5850)
Locked Candidates Type 2 (Claiming): 8 in r5 => r4c23,r6c3<>8
Finned X-Wing: 8 c68 r28 fr9c6 => r8c4<>8
2-String Kite: 8 in r1c4,r4c7 (connected by r4c5,r6c4) => r1c7<>8
W-Wing: 7/8 in r6c9,r8c8 connected by 8 in r49c7 => r789c9<>7
Discontinuous Nice Loop: 5 r1c1 -5- r1c7 -7- r4c7 -8- r4c5 -5- r6c4 =5= r6c1 -5- r1c1 => r1c1<>5
Hidden Rectangle: 3/7 in r1c13,r4c13 => r4c3<>7
Grouped Discontinuous Nice Loop: 8 r2c2 -8- r2c8 =8= r3c9 -8- r6c9 =8= r6c4 -8- r1c4 =8= r1c23 -8- r2c2 => r2c2<>8
Grouped Discontinuous Nice Loop: 8 r2c3 -8- r2c8 =8= r3c9 -8- r6c9 =8= r6c4 -8- r1c4 =8= r1c23 -8- r2c3 => r2c3<>8
Almost Locked Set Chain: 5- r1c47 {578} -8- r6c134 {1578} -7- r6c9 {78} -8- r14c7 {578} -5 => r1c2<>5
Forcing Chain Contradiction in b2 => r2c5<>5
r2c5=5 r4c5<>5 r4c5=8 r6c4<>8 r1c4=8 r1c4<>7
r2c5=5 r2c5<>7
r2c5=5 r4c5<>5 r4c5=8 r4c7<>8 r4c7=7 r6c9<>7 r3c9=7 r3c5<>7
Forcing Chain Contradiction in r1c4 => r2c6<>8
r2c6=8 r2c8<>8 r2c8=7 r1c7<>7 r1c7=5 r1c4<>5
r2c6=8 r89c6<>8 r9c5=8 r9c5<>7 r78c4=7 r1c4<>7
r2c6=8 r1c4<>8
Locked Candidates Type 2 (Claiming): 8 in c6 => r9c5<>8
Discontinuous Nice Loop: 6 r7c6 -6- r7c7 -7- r8c8 -8- r8c6 =8= r9c6 =4= r7c6 => r7c6<>6
Naked Single: r7c6=4
Forcing Chain Contradiction in r8c4 => r8c3<>1
r8c3=1 r6c3<>1 r6c1=1 r6c1<>5 r6c4=5 r8c4<>5
r8c3=1 r6c3<>1 r6c3=7 r6c9<>7 r3c9=7 r2c8<>7 r8c8=7 r8c4<>7
r8c3=1 r8c9<>1 r7c9=1 r7c9<>9 r7c4=9 r8c4<>9
Forcing Chain Contradiction in r1c4 => r8c4<>7
r8c4=7 r8c8<>7 r2c8=7 r1c7<>7 r1c7=5 r1c4<>5
r8c4=7 r1c4<>7
r8c4=7 r8c8<>7 r8c8=8 r2c8<>8 r2c5=8 r1c4<>8
Discontinuous Nice Loop: 5 r8c9 -5- r8c4 -9- r7c4 =9= r7c9 =1= r8c9 => r8c9<>5
Locked Candidates Type 1 (Pointing): 5 in b9 => r9c56<>5
2-String Kite: 5 in r3c5,r6c1 (connected by r4c5,r6c4) => r3c1<>5
XY-Chain: 8 8- r4c7 -7- r6c9 -8- r6c4 -5- r8c4 -9- r7c4 -7- r9c5 -6- r9c6 -8 => r9c7<>8
Hidden Single: r4c7=8
Full House: r6c9=7
Naked Single: r4c5=5
Full House: r6c4=8
Naked Single: r6c3=1
Full House: r6c1=5
Locked Candidates Type 2 (Claiming): 8 in r1 => r3c23<>8
Naked Pair: 5,7 in r1c47 => r1c123<>7
Naked Single: r1c1=3
Hidden Single: r4c3=3
Turbot Fish: 7 r1c7 =7= r1c4 -7- r7c4 =7= r9c5 => r9c7<>7
X-Wing: 7 c47 r17 => r7c2<>7
W-Wing: 6/5 in r2c6,r9c7 connected by 5 in r1c47 => r9c6<>6
Naked Single: r9c6=8
XY-Chain: 7 7- r1c4 -5- r1c7 -7- r7c7 -6- r7c2 -1- r7c9 -9- r9c9 -5- r9c7 -6- r9c5 -7 => r23c5,r7c4<>7
Naked Single: r7c4=9
Naked Single: r7c9=1
Naked Single: r8c4=5
Full House: r1c4=7
Naked Single: r7c2=6
Full House: r7c7=7
Naked Single: r8c6=6
Full House: r2c6=5
Full House: r9c5=7
Naked Single: r1c7=5
Full House: r9c7=6
Naked Single: r5c2=8
Full House: r5c3=6
Naked Single: r8c8=8
Full House: r2c8=7
Full House: r3c9=8
Naked Single: r1c2=2
Full House: r1c3=8
Naked Single: r8c9=9
Full House: r9c9=5
Naked Single: r2c2=1
Naked Single: r2c3=9
Naked Single: r3c5=6
Full House: r2c5=8
Full House: r2c1=6
Naked Single: r8c2=7
Naked Single: r9c3=4
Full House: r9c1=9
Naked Single: r4c2=4
Full House: r3c2=5
Full House: r4c1=7
Naked Single: r8c1=1
Full House: r8c3=2
Full House: r3c3=7
Full House: r3c1=4
|
normal_sudoku_5304 | ..1.87436.7.1.698.6..93.1.7....637.1...7.18..71..9.2.35.4.7.61.1....857...7.1.3.. | 951287436473156982628934157285463791349721865716895243594372618132648579867519324 | normal_sudoku_5304 | 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 7 4 3 6
. 7 . 1 . 6 9 8 .
6 . . 9 3 . 1 . 7
. . . . 6 3 7 . 1
. . . 7 . 1 8 . .
7 1 . . 9 . 2 . 3
5 . 4 . 7 . 6 1 .
1 . . . . 8 5 7 .
. . 7 . 1 . 3 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 951287436473156982628934157285463791349721865716895243594372618132648579867519324 #1 Hard (504)
X-Wing: 5 c59 r25 => r25c3,r5c28<>5
W-Wing: 2/5 in r1c4,r3c8 connected by 5 in r2c59 => r3c6<>2
Locked Candidates Type 2 (Claiming): 2 in c6 => r789c4,r8c5<>2
Naked Single: r7c4=3
Naked Single: r8c5=4
Naked Single: r8c4=6
Naked Single: r9c4=5
Naked Single: r1c4=2
Naked Single: r1c1=9
Full House: r1c2=5
Naked Single: r2c5=5
Full House: r3c6=4
Full House: r5c5=2
Naked Single: r2c9=2
Full House: r3c8=5
Naked Single: r6c6=5
Naked Single: r2c3=3
Full House: r2c1=4
Naked Single: r8c9=9
Naked Single: r5c1=3
Naked Single: r7c9=8
Naked Single: r8c3=2
Full House: r8c2=3
Naked Single: r9c9=4
Full House: r5c9=5
Full House: r9c8=2
Naked Single: r3c3=8
Full House: r3c2=2
Naked Single: r7c2=9
Full House: r7c6=2
Full House: r9c6=9
Naked Single: r9c1=8
Full House: r4c1=2
Full House: r9c2=6
Naked Single: r6c3=6
Naked Single: r5c2=4
Full House: r4c2=8
Naked Single: r5c3=9
Full House: r4c3=5
Full House: r5c8=6
Naked Single: r6c8=4
Full House: r4c8=9
Full House: r4c4=4
Full House: r6c4=8
|
normal_sudoku_5036 | .6.3.....2.1.7.3...37..2.8..5...9..31.37..94.....13..........348..23..5.3.5..72.. | 568394721241578369937162485756429813183756942429813576672985134894231657315647298 | normal_sudoku_5036 | 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 . . . . .
2 . 1 . 7 . 3 . .
. 3 7 . . 2 . 8 .
. 5 . . . 9 . . 3
1 . 3 7 . . 9 4 .
. . . . 1 3 . . .
. . . . . . . 3 4
8 . . 2 3 . . 5 .
3 . 5 . . 7 2 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 568394721241578369937162485756429813183756942429813576672985134894231657315647298 #1 Extreme (8770)
Grouped Discontinuous Nice Loop: 4 r1c5 -4- r2c46 =4= r2c2 -4- r9c2 =4= r8c23 -4- r8c6 =4= r12c6 -4- r1c5 => r1c5<>4
Grouped Discontinuous Nice Loop: 4 r3c4 -4- r2c46 =4= r2c2 -4- r9c2 =4= r8c23 -4- r8c6 =4= r12c6 -4- r3c4 => r3c4<>4
Grouped Discontinuous Nice Loop: 4 r3c5 -4- r2c46 =4= r2c2 -4- r9c2 =4= r8c23 -4- r8c6 =4= r12c6 -4- r3c5 => r3c5<>4
Forcing Net Contradiction in b5 => r5c9<>8
r5c9=8 (r9c9<>8) r5c2<>8 r5c2=2 r5c5<>2 r4c5=2 r4c5<>4 r9c5=4 r9c5<>8 r9c4=8 r4c4<>8
r5c9=8 r5c2<>8 r5c2=2 r5c5<>2 r4c5=2 r4c5<>8
r5c9=8 r5c5<>8
r5c9=8 r5c6<>8
r5c9=8 (r9c9<>8) r5c2<>8 r5c2=2 r5c5<>2 r4c5=2 r4c5<>4 r9c5=4 r9c5<>8 r9c4=8 r6c4<>8
Forcing Net Contradiction in r7c6 => r1c8<>9
r1c8=9 (r2c8<>9 r2c8=6 r9c8<>6 r9c8=1 r8c7<>1) (r1c8<>7) r1c8<>2 r1c9=2 r1c9<>7 r1c7=7 r8c7<>7 r8c7=6 r8c3<>6 r7c13=6 r7c6<>6
r1c8=9 (r2c8<>9 r2c8=6 r2c6<>6) (r2c8<>9 r2c8=6 r2c9<>6 r2c9=5 r5c9<>5 r5c9=6 r5c6<>6) (r2c8<>9 r2c8=6 r9c8<>6 r9c8=1 r8c7<>1) (r1c8<>7) r1c8<>2 r1c9=2 r1c9<>7 r1c7=7 r8c7<>7 r8c7=6 r8c6<>6 r7c6=6
Forcing Net Contradiction in r6c9 => r3c9<>6
r3c9=6 (r5c9<>6) (r2c9<>6) r2c8<>6 r2c8=9 r2c9<>9 r2c9=5 r5c9<>5 r5c9=2 r6c9<>2
r3c9=6 (r2c9<>6) r2c8<>6 r2c8=9 r2c9<>9 r2c9=5 r6c9<>5
r3c9=6 r6c9<>6
r3c9=6 (r5c9<>6) (r2c9<>6) r2c8<>6 r2c8=9 r2c9<>9 r2c9=5 r5c9<>5 r5c9=2 r1c9<>2 r1c8=2 r1c8<>7 r46c8=7 r6c9<>7
r3c9=6 (r5c9<>6) (r2c9<>6) r2c8<>6 r2c8=9 r2c9<>9 r2c9=5 r5c9<>5 r5c9=2 (r5c2<>2 r5c2=8 r5c5<>8) (r5c2<>2 r5c2=8 r6c3<>8 r1c3=8 r1c5<>8) r5c5<>2 r4c5=2 (r4c5<>8) r4c5<>4 r9c5=4 (r9c5<>8) r9c5<>8 r7c5=8 r9c4<>8 r9c9=8 r6c9<>8
Forcing Net Contradiction in b5 => r2c4<>6
r2c4=6 r4c4<>6
r2c4=6 (r2c8<>6 r2c8=9 r2c2<>9) (r3c4<>6) r3c5<>6 r3c7=6 r3c7<>4 r3c1=4 r2c2<>4 r2c2=8 r5c2<>8 r5c2=2 r5c5<>2 r4c5=2 r4c5<>6
r2c4=6 (r2c8<>6 r2c8=9 r2c9<>9 r2c9=5 r5c9<>5) (r2c8<>6 r2c8=9 r2c2<>9) (r3c4<>6) r3c5<>6 r3c7=6 r3c7<>4 r3c1=4 r2c2<>4 r2c2=8 r5c2<>8 r5c2=2 r5c9<>2 r5c9=6 r5c5<>6
r2c4=6 (r2c8<>6 r2c8=9 r2c9<>9 r2c9=5 r5c9<>5) (r2c8<>6 r2c8=9 r2c2<>9) (r3c4<>6) r3c5<>6 r3c7=6 r3c7<>4 r3c1=4 r2c2<>4 r2c2=8 r5c2<>8 r5c2=2 r5c9<>2 r5c9=6 r5c6<>6
r2c4=6 r6c4<>6
Forcing Net Contradiction in r2c6 => r2c6<>6
r2c6=6 r2c6=6
r2c6=6 (r2c6<>4) (r3c4<>6) r3c5<>6 r3c7=6 r3c7<>4 (r3c1=4 r2c2<>4 r2c2=8 r2c4<>8) r1c7=4 r1c6<>4 r8c6=4 r9c5<>4 r4c5=4 r4c5<>2 r5c5=2 r5c2<>2 r5c2=8 r2c2<>8 r2c6=8
Locked Candidates Type 1 (Pointing): 6 in b2 => r3c7<>6
Finned Jellyfish: 6 r2359 c4589 fr5c6 => r4c45,r6c4<>6
Locked Candidates Type 1 (Pointing): 6 in b5 => r5c9<>6
Almost Locked Set XY-Wing: A=r1c135679 {1245789}, B=r2c89,r3c9 {1569}, C=r5c9 {25}, X,Y=2,5, Z=1 => r1c8<>1
Forcing Chain Contradiction in r8c6 => r3c4<>5
r3c4=5 r3c4<>1 r1c6=1 r8c6<>1
r3c4=5 r6c4<>5 r5c56=5 r5c9<>5 r5c9=2 r5c5<>2 r4c5=2 r4c5<>4 r9c5=4 r8c6<>4
r3c4=5 r3c4<>6 r79c4=6 r8c6<>6
Forcing Chain Contradiction in r8c6 => r7c6<>6
r7c6=6 r79c4<>6 r3c4=6 r3c4<>1 r1c6=1 r8c6<>1
r7c6=6 r5c6<>6 r5c5=6 r5c5<>2 r4c5=2 r4c5<>4 r9c5=4 r8c6<>4
r7c6=6 r8c6<>6
Forcing Chain Contradiction in r1c5 => r9c5<>9
r9c5=9 r9c8<>9 r2c8=9 r2c8<>6 r2c9=6 r2c9<>5 r2c46=5 r1c5<>5
r9c5=9 r9c5<>4 r4c5=4 r4c5<>2 r5c5=2 r5c2<>2 r5c2=8 r2c2<>8 r1c3=8 r1c5<>8
r9c5=9 r1c5<>9
Forcing Net Contradiction in r8c9 => r1c3=8
r1c3<>8 r2c2=8 r5c2<>8 r5c2=2 (r5c5<>2 r4c5=2 r4c5<>4) r5c9<>2 r5c9=5 (r6c7<>5) r6c9<>5 r6c4=5 (r2c4<>5 r2c6=5 r2c6<>4) r6c4<>4 r4c4=4 r2c4<>4 r2c2=4 r2c2<>8 r1c3=8
Grouped Discontinuous Nice Loop: 9 r7c1 -9- r7c45 =9= r9c4 -9- r9c8 =9= r2c8 -9- r2c2 =9= r13c1 -9- r7c1 => r7c1<>9
Almost Locked Set XZ-Rule: A=r1c15 {459}, B=r2c289 {4569}, X=4, Z=5 => r1c79<>5
Discontinuous Nice Loop: 2 r4c8 -2- r5c9 -5- r6c7 =5= r3c7 =4= r3c1 -4- r2c2 -9- r2c8 =9= r9c8 =1= r4c8 => r4c8<>2
Almost Locked Set XZ-Rule: A=r2c289 {4569}, B=r3c1459 {14569}, X=4, Z=5 => r3c7<>5
Hidden Single: r6c7=5
Naked Single: r5c9=2
Naked Single: r5c2=8
Hidden Single: r1c8=2
Hidden Single: r4c5=2
Hidden Single: r9c5=4
Hidden Single: r7c5=8
Hidden Single: r2c6=8
Hidden Single: r4c7=8
Naked Single: r4c4=4
Naked Single: r4c3=6
Naked Single: r6c4=8
Naked Single: r4c1=7
Full House: r4c8=1
Naked Single: r7c1=6
Hidden Single: r9c9=8
Hidden Single: r1c6=4
Hidden Single: r2c2=4
Hidden Single: r6c8=7
Full House: r6c9=6
Hidden Single: r8c7=6
Naked Single: r8c6=1
Naked Single: r9c8=9
Full House: r2c8=6
Naked Single: r7c6=5
Full House: r5c6=6
Full House: r5c5=5
Naked Single: r8c9=7
Full House: r7c7=1
Naked Single: r9c2=1
Full House: r9c4=6
Full House: r7c4=9
Naked Single: r1c5=9
Full House: r3c5=6
Naked Single: r8c2=9
Full House: r8c3=4
Naked Single: r1c7=7
Full House: r3c7=4
Naked Single: r2c4=5
Full House: r3c4=1
Full House: r2c9=9
Naked Single: r7c3=2
Full House: r6c3=9
Full House: r7c2=7
Full House: r6c2=2
Full House: r6c1=4
Naked Single: r1c1=5
Full House: r1c9=1
Full House: r3c9=5
Full House: r3c1=9
|
normal_sudoku_1505 | 6.9.4..155139...6....1.6......29....192.3.65.43..6.2.9986...1..2.1689..33.7.1.896 | 629348715513927468874156932768295341192834657435761289986573124241689573357412896 | normal_sudoku_1505 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 6 . 9 . 4 . . 1 5
5 1 3 9 . . . 6 .
. . . 1 . 6 . . .
. . . 2 9 . . . .
1 9 2 . 3 . 6 5 .
4 3 . . 6 . 2 . 9
9 8 6 . . . 1 . .
2 . 1 6 8 9 . . 3
3 . 7 . 1 . 8 9 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 629348715513927468874156932768295341192834657435761289986573124241689573357412896 #1 Easy (220)
Hidden Single: r3c5=5
Hidden Single: r6c6=1
Hidden Single: r4c2=6
Hidden Single: r4c9=1
Hidden Single: r3c3=4
Hidden Single: r8c7=5
Naked Single: r8c2=4
Full House: r8c8=7
Full House: r9c2=5
Naked Single: r6c8=8
Naked Single: r9c4=4
Full House: r9c6=2
Naked Single: r6c3=5
Full House: r4c3=8
Full House: r6c4=7
Full House: r4c1=7
Full House: r3c1=8
Naked Single: r7c5=7
Full House: r2c5=2
Naked Single: r5c4=8
Naked Single: r1c4=3
Full House: r7c4=5
Full House: r7c6=3
Naked Single: r5c6=4
Full House: r4c6=5
Full House: r5c9=7
Naked Single: r1c7=7
Naked Single: r3c9=2
Naked Single: r1c2=2
Full House: r1c6=8
Full House: r3c2=7
Full House: r2c6=7
Naked Single: r2c7=4
Full House: r2c9=8
Full House: r7c9=4
Full House: r7c8=2
Naked Single: r3c8=3
Full House: r3c7=9
Full House: r4c7=3
Full House: r4c8=4
|
normal_sudoku_374 | ..4..32.152...........2....24..51.8.7.9.42.....53..4.2.6...5328..2.3.5.4.5.2...9. | 674983251528174639391526847246751983739842165815369472167495328982637514453218796 | normal_sudoku_374 | 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 . . 3 2 . 1
5 2 . . . . . . .
. . . . 2 . . . .
2 4 . . 5 1 . 8 .
7 . 9 . 4 2 . . .
. . 5 3 . . 4 . 2
. 6 . . . 5 3 2 8
. . 2 . 3 . 5 . 4
. 5 . 2 . . . 9 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 674983251528174639391526847246751983739842165815369472167495328982637514453218796 #1 Extreme (5332)
Locked Candidates Type 1 (Pointing): 9 in b6 => r4c4<>9
2-String Kite: 3 in r3c2,r4c9 (connected by r4c3,r5c2) => r3c9<>3
Grouped Discontinuous Nice Loop: 6 r6c8 -6- r6c1 =6= r4c3 -6- r4c4 -7- r4c79 =7= r6c8 => r6c8<>6
Grouped Discontinuous Nice Loop: 7 r9c6 -7- r9c79 =7= r8c8 -7- r6c8 -1- r5c78 =1= r5c2 =3= r3c2 -3- r3c1 =3= r9c1 =4= r9c6 => r9c6<>7
Forcing Chain Contradiction in r8c4 => r1c4<>8
r1c4=8 r5c4<>8 r5c4=6 r5c7<>6 r5c7=1 r9c7<>1 r8c8=1 r8c4<>1
r1c4=8 r5c4<>8 r5c4=6 r8c4<>6
r1c4=8 r5c4<>8 r5c4=6 r4c4<>6 r4c4=7 r8c4<>7
r1c4=8 r8c4<>8
r1c4=8 r5c4<>8 r5c2=8 r5c2<>3 r3c2=3 r3c1<>3 r9c1=3 r9c1<>4 r7c1=4 r7c1<>9 r7c45=9 r8c4<>9
Grouped Discontinuous Nice Loop: 8 r9c5 -8- r9c3 =8= r23c3 -8- r1c12 =8= r1c5 -8- r9c5 => r9c5<>8
Naked Triple: 1,6,7 in r9c579 => r9c13<>1, r9c3<>7, r9c6<>6
Forcing Chain Contradiction in r8c4 => r2c4<>8
r2c4=8 r5c4<>8 r5c4=6 r5c7<>6 r5c7=1 r9c7<>1 r9c5=1 r8c4<>1
r2c4=8 r5c4<>8 r5c4=6 r8c4<>6
r2c4=8 r5c4<>8 r5c4=6 r4c4<>6 r4c4=7 r8c4<>7
r2c4=8 r8c4<>8
r2c4=8 r5c4<>8 r5c2=8 r5c2<>3 r3c2=3 r3c1<>3 r9c1=3 r9c1<>4 r7c1=4 r7c1<>9 r7c45=9 r8c4<>9
Forcing Chain Contradiction in r8c4 => r3c4<>8
r3c4=8 r5c4<>8 r5c4=6 r5c7<>6 r5c7=1 r9c7<>1 r9c5=1 r8c4<>1
r3c4=8 r5c4<>8 r5c4=6 r8c4<>6
r3c4=8 r5c4<>8 r5c4=6 r4c4<>6 r4c4=7 r8c4<>7
r3c4=8 r8c4<>8
r3c4=8 r5c4<>8 r5c2=8 r5c2<>3 r3c2=3 r3c1<>3 r9c1=3 r9c1<>4 r7c1=4 r7c1<>9 r7c45=9 r8c4<>9
Forcing Chain Contradiction in r2 => r3c6<>4
r3c6=4 r9c6<>4 r9c6=8 r9c3<>8 r9c3=3 r2c3<>3
r3c6=4 r3c8<>4 r2c8=4 r2c8<>3
r3c6=4 r9c6<>4 r9c6=8 r9c3<>8 r9c3=3 r4c3<>3 r4c9=3 r2c9<>3
Almost Locked Set XZ-Rule: A=r3c123679 {1356789}, B=r168c8 {1567}, X=5, Z=6,7 => r3c8<>6, r3c8<>7
Forcing Net Contradiction in r1 => r4c4=7
r4c4<>7 r4c4=6 (r6c5<>6) r6c6<>6 r6c1=6 r1c1<>6
r4c4<>7 r4c4=6 r1c4<>6
r4c4<>7 r4c4=6 (r5c4<>6 r5c4=8 r5c2<>8 r5c2=1 r5c7<>1 r5c7=6 r9c7<>6) (r8c4<>6) (r5c4<>6 r5c4=8 r8c4<>8) r4c3<>6 r4c3=3 r9c3<>3 r9c3=8 (r8c1<>8) r8c2<>8 r8c6=8 r8c6<>6 r8c8=6 r9c9<>6 r9c5=6 r1c5<>6
r4c4<>7 r4c4=6 (r8c4<>6) (r5c4<>6 r5c4=8 r8c4<>8) r4c3<>6 r4c3=3 r9c3<>3 r9c3=8 (r8c1<>8) r8c2<>8 r8c6=8 r8c6<>6 r8c8=6 r1c8<>6
Hidden Single: r6c8=7
Locked Candidates Type 1 (Pointing): 1 in b6 => r5c2<>1
Locked Candidates Type 1 (Pointing): 7 in b9 => r9c5<>7
Skyscraper: 7 in r1c2,r7c3 (connected by r17c5) => r23c3,r8c2<>7
Hidden Single: r7c3=7
Hidden Single: r8c6=7
Locked Candidates Type 2 (Claiming): 1 in c3 => r3c12<>1
Continuous Nice Loop: 3/8 3= r9c1 =4= r9c6 =8= r8c4 -8- r5c4 =8= r5c2 =3= r3c2 -3- r3c1 =3= r9c1 =4 => r23c3,r3c8<>3, r9c1<>8
AIC: 3 3- r4c9 =3= r4c3 -3- r9c3 -8- r9c6 =8= r8c4 =6= r8c8 =1= r5c8 -1- r5c7 -6- r5c4 -8- r5c2 -3 => r4c3,r5c89<>3
Naked Single: r4c3=6
Naked Single: r4c7=9
Full House: r4c9=3
Hidden Single: r9c3=3
Naked Single: r9c1=4
Naked Single: r9c6=8
Hidden Single: r5c2=3
Hidden Single: r2c8=3
Hidden Single: r3c1=3
Hidden Single: r7c4=4
Hidden Single: r2c6=4
Hidden Single: r5c4=8
Hidden Single: r3c8=4
Hidden Single: r1c1=6
Naked Single: r1c8=5
Naked Single: r1c4=9
Naked Single: r3c6=6
Full House: r6c6=9
Full House: r6c5=6
Naked Single: r2c4=1
Naked Single: r9c5=1
Naked Single: r2c3=8
Full House: r3c3=1
Naked Single: r3c4=5
Full House: r8c4=6
Full House: r7c5=9
Full House: r7c1=1
Naked Single: r1c2=7
Full House: r1c5=8
Full House: r2c5=7
Full House: r3c2=9
Naked Single: r8c8=1
Full House: r5c8=6
Naked Single: r6c1=8
Full House: r6c2=1
Full House: r8c2=8
Full House: r8c1=9
Naked Single: r2c7=6
Full House: r2c9=9
Naked Single: r3c9=7
Full House: r3c7=8
Naked Single: r5c7=1
Full House: r5c9=5
Full House: r9c7=7
Full House: r9c9=6
|
normal_sudoku_4659 | 892.54.3.3..987.2..5.23.8.9..832..7.2..47...8.7...8...43...2.8..268..15..8....... | 892654731341987526657231849918326475263475918574198362439512687726849153185763294 | normal_sudoku_4659 | 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 2 . 5 4 . 3 .
3 . . 9 8 7 . 2 .
. 5 . 2 3 . 8 . 9
. . 8 3 2 . . 7 .
2 . . 4 7 . . . 8
. 7 . . . 8 . . .
4 3 . . . 2 . 8 .
. 2 6 8 . . 1 5 .
. 8 . . . . . . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 892654731341987526657231849918326475263475918574198362439512687726849153185763294 #1 Extreme (3540)
W-Wing: 1/6 in r3c6,r5c2 connected by 6 in r2c2,r3c1 => r5c6<>1
Grouped Discontinuous Nice Loop: 1 r6c1 -1- r5c2 -6- r2c2 =6= r3c1 -6- r3c6 -1- r4c6 =1= r6c45 -1- r6c1 => r6c1<>1
Sashimi Swordfish: 1 c168 r349 fr5c8 fr6c8 => r4c9<>1
Grouped Discontinuous Nice Loop: 6 r3c8 -6- r3c1 =6= r2c2 -6- r5c2 -1- r4c12 =1= r4c6 -1- r3c6 -6- r3c8 => r3c8<>6
Empty Rectangle: 6 in b5 (r3c16) => r6c1<>6
Grouped Discontinuous Nice Loop: 1 r5c3 -1- r5c2 -6- r2c2 =6= r3c1 -6- r3c6 -1- r4c6 =1= r4c12 -1- r5c3 => r5c3<>1
Grouped Discontinuous Nice Loop: 6 r5c6 -6- r5c2 -1- r4c12 =1= r4c6 -1- r3c6 -6- r5c6 => r5c6<>6
Sashimi Swordfish: 6 c168 r349 fr5c8 fr6c8 => r4c79<>6
Sue de Coq: r4c12 - {14569} (r4c79 - {459}, r5c2 - {16}) => r6c3<>1, r4c6<>5, r4c6<>9
Naked Pair: 1,6 in r34c6 => r9c6<>1, r9c6<>6
X-Wing: 6 c16 r34 => r4c2<>6
2-String Kite: 5 in r5c6,r7c3 (connected by r7c4,r9c6) => r5c3<>5
Empty Rectangle: 9 in b9 (r4c17) => r9c1<>9
Sue de Coq: r6c45 - {1569} (r6c1 - {59}, r4c6 - {16}) => r6c379<>5, r6c378<>9
Locked Candidates Type 1 (Pointing): 5 in b4 => r9c1<>5
Turbot Fish: 9 r6c5 =9= r5c6 -9- r5c8 =9= r9c8 => r9c5<>9
Finned X-Wing: 9 r68 c15 fr8c6 => r7c5<>9
Skyscraper: 9 in r4c1,r7c3 (connected by r47c7) => r5c3,r8c1<>9
Naked Single: r5c3=3
Naked Single: r8c1=7
Naked Single: r6c3=4
Naked Single: r9c1=1
Naked Single: r2c3=1
Naked Single: r4c2=1
Naked Single: r3c1=6
Naked Single: r3c3=7
Full House: r2c2=4
Full House: r5c2=6
Naked Single: r4c6=6
Naked Single: r3c6=1
Full House: r1c4=6
Full House: r3c8=4
Naked Single: r1c7=7
Full House: r1c9=1
Hidden Single: r5c8=1
Naked Single: r6c8=6
Full House: r9c8=9
Naked Single: r7c7=6
Naked Single: r9c3=5
Full House: r7c3=9
Naked Single: r2c7=5
Full House: r2c9=6
Naked Single: r7c5=1
Naked Single: r7c9=7
Full House: r7c4=5
Naked Single: r9c4=7
Full House: r6c4=1
Naked Single: r9c6=3
Naked Single: r5c7=9
Full House: r5c6=5
Full House: r6c5=9
Full House: r8c6=9
Naked Single: r4c7=4
Naked Single: r6c1=5
Full House: r4c1=9
Full House: r4c9=5
Naked Single: r8c5=4
Full House: r8c9=3
Full House: r9c5=6
Naked Single: r9c7=2
Full House: r6c7=3
Full House: r6c9=2
Full House: r9c9=4
|
normal_sudoku_5600 | .8...2.14...54.2........6.3.9....14.6421.5.89..8429..6.2...8.61..32.4......7..4.. | 586372914931546278274891653395687142642135789718429536427958361153264897869713425 | normal_sudoku_5600 | 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 . 1 4
. . . 5 4 . 2 . .
. . . . . . 6 . 3
. 9 . . . . 1 4 .
6 4 2 1 . 5 . 8 9
. . 8 4 2 9 . . 6
. 2 . . . 8 . 6 1
. . 3 2 . 4 . . .
. . . 7 . . 4 . . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 586372914931546278274891653395687142642135789718429536427958361153264897869713425 #1 Easy (212)
Hidden Single: r2c9=8
Hidden Single: r4c9=2
Naked Single: r9c9=5
Full House: r8c9=7
Naked Single: r8c8=9
Naked Single: r2c8=7
Naked Single: r7c7=3
Naked Single: r8c7=8
Full House: r9c8=2
Naked Single: r3c8=5
Full House: r1c7=9
Full House: r6c8=3
Naked Single: r5c7=7
Full House: r5c5=3
Full House: r6c7=5
Naked Single: r7c4=9
Naked Single: r3c4=8
Naked Single: r7c5=5
Naked Single: r4c4=6
Full House: r1c4=3
Naked Single: r4c6=7
Full House: r4c5=8
Naked Single: r3c6=1
Naked Single: r4c3=5
Full House: r4c1=3
Naked Single: r2c6=6
Full House: r9c6=3
Naked Single: r3c2=7
Naked Single: r1c5=7
Full House: r3c5=9
Naked Single: r1c1=5
Full House: r1c3=6
Naked Single: r6c2=1
Full House: r6c1=7
Naked Single: r3c3=4
Full House: r3c1=2
Naked Single: r8c1=1
Naked Single: r2c2=3
Naked Single: r9c2=6
Full House: r8c2=5
Full House: r8c5=6
Full House: r9c5=1
Naked Single: r7c1=4
Full House: r7c3=7
Naked Single: r2c1=9
Full House: r2c3=1
Full House: r9c3=9
Full House: r9c1=8
|
normal_sudoku_1009 | ..4962531.23...986.6..834....7..42...4.2.81..2...5.8....831.6.9..68..35.3....6718 | 784962531523741986169583472897134265645278193231659847478315629916827354352496718 | normal_sudoku_1009 | 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 6 2 5 3 1
. 2 3 . . . 9 8 6
. 6 . . 8 3 4 . .
. . 7 . . 4 2 . .
. 4 . 2 . 8 1 . .
2 . . . 5 . 8 . .
. . 8 3 1 . 6 . 9
. . 6 8 . . 3 5 .
3 . . . . 6 7 1 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 784962531523741986169583472897134265645278193231659847478315629916827354352496718 #1 Easy (224)
Hidden Single: r7c8=2
Full House: r8c9=4
Naked Single: r3c8=7
Full House: r3c9=2
Hidden Single: r9c3=2
Hidden Single: r8c5=2
Hidden Single: r7c1=4
Hidden Single: r6c8=4
Hidden Single: r6c4=6
Naked Single: r4c4=1
Naked Single: r3c4=5
Naked Single: r9c4=4
Full House: r2c4=7
Naked Single: r9c5=9
Full House: r9c2=5
Naked Single: r2c5=4
Full House: r2c6=1
Full House: r2c1=5
Naked Single: r4c5=3
Full House: r5c5=7
Full House: r6c6=9
Naked Single: r8c6=7
Full House: r7c6=5
Full House: r7c2=7
Naked Single: r4c9=5
Naked Single: r6c3=1
Naked Single: r1c2=8
Full House: r1c1=7
Naked Single: r5c9=3
Full House: r6c9=7
Full House: r6c2=3
Naked Single: r3c3=9
Full House: r3c1=1
Full House: r5c3=5
Naked Single: r4c2=9
Full House: r8c2=1
Full House: r8c1=9
Naked Single: r4c8=6
Full House: r4c1=8
Full House: r5c1=6
Full House: r5c8=9
|
normal_sudoku_49 | .39576...7....8.96.68.29.......82567.2.6..8198..91..2..8.764931.1.2.......48.16.2 | 139576248752438196468129753941382567523647819876915324285764931617293485394851672 | normal_sudoku_49 | 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 5 7 6 . . .
7 . . . . 8 . 9 6
. 6 8 . 2 9 . . .
. . . . 8 2 5 6 7
. 2 . 6 . . 8 1 9
8 . . 9 1 . . 2 .
. 8 . 7 6 4 9 3 1
. 1 . 2 . . . . .
. . 4 8 . 1 6 . 2 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 139576248752438196468129753941382567523647819876915324285764931617293485394851672 #1 Hard (620)
Hidden Single: r6c3=6
Hidden Single: r8c1=6
Hidden Single: r8c5=9
Locked Pair: 4,8 in r1c89 => r1c17,r23c7,r3c89<>4
Locked Candidates Type 1 (Pointing): 5 in b3 => r3c1<>5
Locked Candidates Type 1 (Pointing): 3 in b6 => r6c6<>3
Locked Candidates Type 1 (Pointing): 4 in b6 => r6c2<>4
Locked Candidates Type 2 (Claiming): 5 in r7 => r8c3,r9c12<>5
Naked Pair: 5,7 in r39c8 => r8c8<>5, r8c8<>7
Skyscraper: 4 in r3c4,r5c5 (connected by r35c1) => r2c5,r4c4<>4
Naked Single: r2c5=3
Naked Single: r4c4=3
Naked Single: r9c5=5
Full House: r5c5=4
Full House: r8c6=3
Naked Single: r4c3=1
Naked Single: r9c8=7
Naked Single: r8c3=7
Naked Single: r3c8=5
Naked Single: r8c7=4
Naked Single: r9c2=9
Full House: r9c1=3
Naked Single: r3c9=3
Naked Single: r6c7=3
Full House: r6c9=4
Naked Single: r8c8=8
Full House: r1c8=4
Full House: r8c9=5
Full House: r1c9=8
Naked Single: r4c2=4
Full House: r4c1=9
Naked Single: r5c1=5
Naked Single: r2c2=5
Full House: r6c2=7
Full House: r5c3=3
Full House: r5c6=7
Full House: r6c6=5
Naked Single: r7c1=2
Full House: r7c3=5
Full House: r2c3=2
Naked Single: r1c1=1
Full House: r1c7=2
Full House: r3c1=4
Naked Single: r2c7=1
Full House: r2c4=4
Full House: r3c4=1
Full House: r3c7=7
|
normal_sudoku_1054 | 953...16...8391.....7.65.93..951.6....2....5..45..6.1.2.1639.473.6.5.9.15.418...6 | 953874162628391475417265893739518624162943758845726319281639547376452981594187236 | normal_sudoku_1054 | 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 . . . 1 6 .
. . 8 3 9 1 . . .
. . 7 . 6 5 . 9 3
. . 9 5 1 . 6 . .
. . 2 . . . . 5 .
. 4 5 . . 6 . 1 .
2 . 1 6 3 9 . 4 7
3 . 6 . 5 . 9 . 1
5 . 4 1 8 . . . 6 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 953874162628391475417265893739518624162943758845726319281639547376452981594187236 #1 Hard (1030)
Naked Single: r7c2=8
Full House: r7c7=5
Naked Single: r8c2=7
Full House: r9c2=9
Naked Single: r4c2=3
Hidden Single: r6c7=3
Naked Single: r9c7=2
Naked Single: r8c8=8
Full House: r9c8=3
Full House: r9c6=7
Hidden Single: r2c9=5
Hidden Single: r5c6=3
Naked Pair: 7,8 in r46c1 => r5c1<>7, r5c1<>8
2-String Kite: 4 in r1c5,r4c9 (connected by r4c6,r5c5) => r1c9<>4
Locked Candidates Type 1 (Pointing): 4 in b3 => r5c7<>4
Locked Candidates Type 2 (Claiming): 4 in r1 => r3c4<>4
W-Wing: 2/7 in r4c8,r6c5 connected by 7 in r46c1 => r4c6,r6c9<>2
W-Wing: 8/7 in r5c7,r6c1 connected by 7 in r4c18 => r6c9<>8
Naked Single: r6c9=9
Hidden Single: r5c4=9
Locked Candidates Type 2 (Claiming): 8 in r5 => r4c9<>8
XY-Wing: 2/4/8 in r14c9,r4c6 => r1c6<>8
Hidden Single: r4c6=8
Naked Single: r4c1=7
Naked Single: r4c8=2
Full House: r2c8=7
Full House: r4c9=4
Naked Single: r6c1=8
Naked Single: r2c7=4
Naked Single: r5c9=8
Full House: r1c9=2
Full House: r3c7=8
Full House: r5c7=7
Naked Single: r2c1=6
Full House: r2c2=2
Naked Single: r1c6=4
Full House: r8c6=2
Full House: r8c4=4
Naked Single: r3c4=2
Naked Single: r5c5=4
Naked Single: r5c1=1
Full House: r3c1=4
Full House: r3c2=1
Full House: r5c2=6
Naked Single: r1c5=7
Full House: r1c4=8
Full House: r6c4=7
Full House: r6c5=2
|
normal_sudoku_4976 | 4.5.2.7..3.6.9.4.2.2...456.8..1....76972831455..9478.6........125.8.......3..2.5. | 415326789376598412928714563842165397697283145531947826784659231259831674163472958 | normal_sudoku_4976 | 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 . 2 . 7 . .
3 . 6 . 9 . 4 . 2
. 2 . . . 4 5 6 .
8 . . 1 . . . . 7
6 9 7 2 8 3 1 4 5
5 . . 9 4 7 8 . 6
. . . . . . . . 1
2 5 . 8 . . . . .
. . 3 . . 2 . 5 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 415326789376598412928714563842165397697283145531947826784659231259831674163472958 #1 Hard (352)
Locked Candidates Type 1 (Pointing): 9 in b1 => r3c9<>9
Skyscraper: 8 in r3c3,r9c2 (connected by r39c9) => r12c2,r7c3<>8
Naked Single: r1c2=1
Naked Single: r2c2=7
Naked Single: r6c2=3
Naked Single: r2c4=5
Naked Single: r3c1=9
Full House: r3c3=8
Naked Single: r4c2=4
Naked Single: r6c8=2
Full House: r6c3=1
Full House: r4c3=2
Naked Single: r7c1=7
Full House: r9c1=1
Naked Single: r3c9=3
Naked Single: r3c4=7
Full House: r3c5=1
Naked Single: r2c6=8
Full House: r2c8=1
Naked Single: r1c6=6
Full House: r1c4=3
Naked Single: r4c6=5
Full House: r4c5=6
Naked Single: r7c6=9
Full House: r8c6=1
Naked Single: r9c5=7
Naked Single: r7c3=4
Full House: r8c3=9
Naked Single: r8c5=3
Full House: r7c5=5
Naked Single: r7c4=6
Full House: r9c4=4
Naked Single: r8c9=4
Naked Single: r8c7=6
Full House: r8c8=7
Naked Single: r7c2=8
Full House: r9c2=6
Naked Single: r9c7=9
Full House: r9c9=8
Full House: r1c9=9
Full House: r1c8=8
Naked Single: r7c8=3
Full House: r4c8=9
Full House: r4c7=3
Full House: r7c7=2
|
normal_sudoku_516 | ...93.4...5.274138..481..6.7...81.242....938.48..23........8.1.54..62897....9..43 | 178936452659274138324815769793581624216749385485623971937458216541362897862197543 | normal_sudoku_516 | 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 . 4 . .
. 5 . 2 7 4 1 3 8
. . 4 8 1 . . 6 .
7 . . . 8 1 . 2 4
2 . . . . 9 3 8 .
4 8 . . 2 3 . . .
. . . . . 8 . 1 .
5 4 . . 6 2 8 9 7
. . . . 9 . . 4 3 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 178936452659274138324815769793581624216749385485623971937458216541362897862197543 #1 Easy (278)
Naked Single: r3c6=5
Full House: r1c6=6
Full House: r9c6=7
Hidden Single: r5c4=7
Hidden Single: r5c5=4
Full House: r7c5=5
Naked Single: r9c4=1
Naked Single: r8c4=3
Full House: r7c4=4
Full House: r8c3=1
Hidden Single: r9c7=5
Hidden Single: r1c1=1
Hidden Single: r6c9=1
Hidden Single: r5c2=1
Hidden Single: r1c3=8
Hidden Single: r9c1=8
Hidden Single: r3c9=9
Naked Single: r3c1=3
Hidden Single: r7c3=7
Hidden Single: r9c3=2
Full House: r9c2=6
Naked Single: r7c1=9
Full House: r2c1=6
Full House: r7c2=3
Full House: r2c3=9
Naked Single: r4c2=9
Naked Single: r4c7=6
Naked Single: r4c4=5
Full House: r4c3=3
Full House: r6c4=6
Naked Single: r5c9=5
Full House: r5c3=6
Full House: r6c3=5
Naked Single: r7c7=2
Full House: r7c9=6
Full House: r1c9=2
Naked Single: r6c8=7
Full House: r1c8=5
Full House: r3c7=7
Full House: r1c2=7
Full House: r6c7=9
Full House: r3c2=2
|
normal_sudoku_2140 | ...1.5.3..1..6...47.........7.658.13...2...8.8..4..6..621549378539...146487...259 | 946185732318762594752934861274658913165293487893471625621549378539827146487316259 | normal_sudoku_2140 | 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 . 5 . 3 .
. 1 . . 6 . . . 4
7 . . . . . . . .
. 7 . 6 5 8 . 1 3
. . . 2 . . . 8 .
8 . . 4 . . 6 . .
6 2 1 5 4 9 3 7 8
5 3 9 . . . 1 4 6
4 8 7 . . . 2 5 9 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 946185732318762594752934861274658913165293487893471625621549378539827146487316259 #1 Easy (268)
Naked Single: r9c4=3
Naked Single: r9c5=1
Full House: r9c6=6
Hidden Single: r5c1=1
Hidden Single: r3c6=4
Hidden Single: r3c9=1
Hidden Single: r3c8=6
Hidden Single: r6c6=1
Hidden Single: r2c1=3
Hidden Single: r5c6=3
Hidden Single: r3c5=3
Hidden Single: r6c3=3
Hidden Single: r3c3=2
Naked Single: r1c1=9
Full House: r4c1=2
Naked Single: r4c3=4
Full House: r4c7=9
Naked Single: r3c2=5
Naked Single: r6c8=2
Full House: r2c8=9
Naked Single: r2c3=8
Naked Single: r3c7=8
Full House: r3c4=9
Naked Single: r6c2=9
Naked Single: r1c3=6
Full House: r1c2=4
Full House: r5c2=6
Full House: r5c3=5
Naked Single: r2c4=7
Full House: r8c4=8
Naked Single: r1c7=7
Naked Single: r6c5=7
Full House: r5c5=9
Full House: r6c9=5
Naked Single: r5c9=7
Full House: r1c9=2
Full House: r2c7=5
Full House: r2c6=2
Full House: r5c7=4
Full House: r1c5=8
Full House: r8c5=2
Full House: r8c6=7
|
normal_sudoku_2100 | 785...6.3426.73..89135...4.8.74.....2.4..98..159....3..923......71...38.348..192. | 785214693426973518913586247837425169264139875159867432692348751571692384348751926 | normal_sudoku_2100 | 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 . . . 6 . 3
4 2 6 . 7 3 . . 8
9 1 3 5 . . . 4 .
8 . 7 4 . . . . .
2 . 4 . . 9 8 . .
1 5 9 . . . . 3 .
. 9 2 3 . . . . .
. 7 1 . . . 3 8 .
3 4 8 . . 1 9 2 . | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 785214693426973518913586247837425169264139875159867432692348751571692384348751926 #1 Hard (1184)
Hidden Single: r6c4=8
Hidden Single: r4c9=9
Locked Candidates Type 1 (Pointing): 2 in b3 => r3c56<>2
Skyscraper: 7 in r7c8,r9c4 (connected by r5c48) => r7c6,r9c9<>7
Hidden Single: r6c6=7
Hidden Single: r9c4=7
X-Wing: 6 r69 c59 => r34578c5,r578c9<>6
Naked Single: r3c5=8
Naked Single: r3c6=6
Hidden Single: r7c6=8
W-Wing: 5/6 in r7c1,r9c5 connected by 6 in r8c14 => r7c5<>5
Naked Single: r7c5=4
Hidden Single: r1c6=4
Hidden Single: r6c7=4
Hidden Single: r8c9=4
XY-Wing: 2/6/5 in r4c6,r69c5 => r45c5,r8c6<>5
Naked Single: r8c6=2
Full House: r4c6=5
Hidden Single: r1c4=2
Naked Triple: 1,2,6 in r4c78,r6c9 => r5c89<>1, r5c8<>6
Hidden Single: r7c9=1
Locked Candidates Type 1 (Pointing): 1 in b6 => r4c5<>1
W-Wing: 7/5 in r5c8,r7c7 connected by 5 in r2c78 => r7c8<>7
Hidden Single: r7c7=7
Naked Single: r3c7=2
Full House: r3c9=7
Naked Single: r4c7=1
Full House: r2c7=5
Naked Single: r5c9=5
Naked Single: r4c8=6
Naked Single: r5c8=7
Full House: r6c9=2
Full House: r9c9=6
Full House: r7c8=5
Full House: r6c5=6
Full House: r9c5=5
Full House: r7c1=6
Full House: r8c1=5
Naked Single: r4c2=3
Full House: r4c5=2
Full House: r5c2=6
Naked Single: r5c4=1
Full House: r5c5=3
Naked Single: r8c5=9
Full House: r1c5=1
Full House: r2c4=9
Full House: r8c4=6
Full House: r1c8=9
Full House: r2c8=1
|
normal_sudoku_6054 | 8.41739.515..89.74.79..58......92.8...8..7.9..9.8.6....81.547.95.79.8...94.7.1.58 | 824173965156289374379465821615392487438517296792846513281654739567938142943721658 | normal_sudoku_6054 | Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
| None | 9 | 9 | 8 . 4 1 7 3 9 . 5
1 5 . . 8 9 . 7 4
. 7 9 . . 5 8 . .
. . . . 9 2 . 8 .
. . 8 . . 7 . 9 .
. 9 . 8 . 6 . . .
. 8 1 . 5 4 7 . 9
5 . 7 9 . 8 . . .
9 4 . 7 . 1 . 5 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 824173965156289374379465821615392487438517296792846513281654739567938142943721658 #1 Extreme (3772)
Finned Franken Swordfish: 2 r17b2 c148 fr1c2 fr3c5 => r3c1<>2
W-Wing: 6/2 in r1c8,r2c4 connected by 2 in r1c2,r2c3 => r2c7<>6
Sashimi Swordfish: 6 r127 c148 fr1c2 fr2c3 => r3c1<>6
Naked Single: r3c1=3
Hidden Single: r2c7=3
Forcing Chain Contradiction in r8c2 => r7c8<>2
r7c8=2 r1c8<>2 r1c2=2 r8c2<>2
r7c8=2 r7c8<>3 r8c89=3 r8c2<>3
r7c8=2 r7c1<>2 r7c1=6 r8c2<>6
Skyscraper: 2 in r2c3,r7c1 (connected by r27c4) => r9c3<>2
2-String Kite: 2 in r1c8,r6c3 (connected by r1c2,r2c3) => r6c8<>2
Grouped Discontinuous Nice Loop: 6 r4c2 -6- r1c2 -2- r8c2 =2= r7c1 =6= r45c1 -6- r4c2 => r4c2<>6
Grouped Discontinuous Nice Loop: 6 r5c2 -6- r1c2 -2- r8c2 =2= r7c1 =6= r45c1 -6- r5c2 => r5c2<>6
Almost Locked Set XY-Wing: A=r3c89 {126}, B=r27c4 {236}, C=r17c8 {236}, X,Y=2,3, Z=6 => r3c4<>6
Forcing Chain Contradiction in r8c2 => r7c8=3
r7c8<>3 r7c8=6 r7c1<>6 r7c1=2 r8c2<>2
r7c8<>3 r8c89=3 r8c2<>3
r7c8<>3 r7c8=6 r1c8<>6 r1c2=6 r8c2<>6
Locked Candidates Type 1 (Pointing): 3 in b8 => r56c5<>3
Locked Pair: 1,4 in r56c5 => r3c5,r45c4<>4
Hidden Single: r3c4=4
Naked Pair: 1,4 in r6c58 => r6c17<>4, r6c79<>1
Remote Pair: 6/2 r2c3 -2- r2c4 -6- r7c4 -2- r7c1 => r9c3<>6
Naked Single: r9c3=3
Hidden Single: r6c9=3
Hidden Single: r8c5=3
Hidden Single: r6c1=7
Hidden Single: r4c9=7
Naked Pair: 2,6 in r18c2 => r5c2<>2
Sashimi Swordfish: 2 r269 c347 fr9c5 => r7c4<>2
Naked Single: r7c4=6
Full House: r7c1=2
Full House: r9c5=2
Full House: r8c2=6
Full House: r9c7=6
Naked Single: r2c4=2
Full House: r3c5=6
Full House: r2c3=6
Full House: r1c2=2
Full House: r1c8=6
Naked Single: r4c3=5
Full House: r6c3=2
Naked Single: r4c4=3
Full House: r5c4=5
Naked Single: r6c7=5
Naked Single: r4c2=1
Full House: r5c2=3
Naked Single: r4c7=4
Full House: r4c1=6
Full House: r5c1=4
Naked Single: r6c8=1
Full House: r6c5=4
Full House: r5c5=1
Naked Single: r3c8=2
Full House: r3c9=1
Full House: r8c8=4
Naked Single: r5c7=2
Full House: r5c9=6
Full House: r8c9=2
Full House: r8c7=1
|
normal_sudoku_4983 | 3....5..4...39.5...754...3.183.4...54.75..38..56..3.475.8..6..373.158.2.612934758 | 391625874864397512275481639183742965427569381956813247548276193739158426612934758 | normal_sudoku_4983 | 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 . . . . 5 . . 4
. . . 3 9 . 5 . .
. 7 5 4 . . . 3 .
1 8 3 . 4 . . . 5
4 . 7 5 . . 3 8 .
. 5 6 . . 3 . 4 7
5 . 8 . . 6 . . 3
7 3 . 1 5 8 . 2 .
6 1 2 9 3 4 7 5 8 | Complete the sudoku board based on the rules and visual elements. | sudoku | sudoku_benchmark | hard | 391625874864397512275481639183742965427569381956813247548276193739158426612934758 #1 Unfair (1328)
Hidden Single: r2c1=8
Swordfish: 6 r358 c579 => r1c57,r2c9,r4c7<>6
Empty Rectangle: 9 in b1 (r6c17) => r1c7<>9
W-Wing: 1/9 in r1c3,r7c8 connected by 9 in r7c2,r8c3 => r1c8<>1
W-Wing: 2/9 in r3c1,r4c7 connected by 9 in r6c17 => r3c7<>2
W-Wing: 2/9 in r4c7,r5c2 connected by 9 in r6c17 => r5c9<>2
Locked Candidates Type 1 (Pointing): 2 in b6 => r1c7<>2
XY-Wing: 2/9/1 in r1c3,r3c16 => r1c5<>1
Finned Swordfish: 2 r157 c245 fr5c6 => r46c4,r6c5<>2
Naked Single: r6c4=8
Naked Single: r6c5=1
Hidden Single: r5c9=1
Naked Single: r2c9=2
Hidden Single: r5c5=6
Naked Single: r4c4=7
Naked Single: r7c4=2
Full House: r1c4=6
Full House: r7c5=7
Hidden Single: r4c8=6
Hidden Single: r2c6=7
Naked Single: r2c8=1
Naked Single: r1c7=8
Naked Single: r2c3=4
Full House: r2c2=6
Naked Single: r7c8=9
Full House: r1c8=7
Naked Single: r1c5=2
Full House: r3c5=8
Full House: r3c6=1
Naked Single: r8c3=9
Full House: r7c2=4
Full House: r1c3=1
Full House: r1c2=9
Full House: r7c7=1
Full House: r3c1=2
Full House: r5c2=2
Full House: r6c1=9
Full House: r5c6=9
Full House: r6c7=2
Full House: r4c6=2
Full House: r4c7=9
Naked Single: r8c9=6
Full House: r3c9=9
Full House: r3c7=6
Full House: r8c7=4
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.