task_name
string
initial_board
string
solution
string
puzzle_id
string
title
string
rules
string
initial_observation
string
rows
int64
cols
int64
visual_elements
string
description
string
task_type
string
data_source
string
difficulty
string
hint
string
normal_sudoku_2645
..1....9.6..1..8..58.9..1.6.5.6..2....6.9....1...7..6.86..4....2...6...3..58.....
471286395639154827582937146754618239326495718198372564863741952217569483945823671
Basic 9x9 Sudoku 2645
puzzles4_forum_hardest_1905
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.
. . 1 . . . . 9 . 6 . . 1 . . 8 . . 5 8 . 9 . . 1 . 6 . 5 . 6 . . 2 . . . . 6 . 9 . . . . 1 . . . 7 . . 6 . 8 6 . . 4 . . . . 2 . . . 6 . . . 3 . . 5 8 . . . . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
471286395639154827582937146754618239326495718198372564863741952217569483945823671 #1 Extreme (20746) bf Hidden Single: r5c3=6 Hidden Single: r1c6=6 Hidden Single: r9c7=6 Hidden Single: r8c8=8 Hidden Single: r1c5=8 Hidden Single: r2c5=5 Brute Force: r5c8=1 Hidden Single: r7c8=5 Brute Force: r5...
normal_sudoku_3590
.8.3..6.......8.2...1.5...75..........672...1.7..9.4....78..3.......2.5..9..4...8
289371645753468129461259837542186973936724581178593462627815394814932756395647218
Basic 9x9 Sudoku 3590
puzzles4_forum_hardest_1905
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.
. 8 . 3 . . 6 . . . . . . . 8 . 2 . . . 1 . 5 . . . 7 5 . . . . . . . . . . 6 7 2 . . . 1 . 7 . . 9 . 4 . . . . 7 8 . . 3 . . . . . . . 2 . 5 . . 9 . . 4 . . . 8
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
289371645753468129461259837542186973936724581178593462627815394814932756395647218 #1 Extreme (12308) bf Hidden Pair: 3,7 in r8c5,r9c6 => r8c5,r9c6<>1, r8c5,r9c6<>6, r9c6<>5 Brute Force: r5c5=2 Hidden Single: r3c4=2 Hidden Single: r4c5=8 Hidden Single: r8c5=3 Naked Single: r9c6=7 Hidden Single: r8c7...
normal_sudoku_527
..941....851...3....7..2..9.3....4.86........17..2.....1..3..2...8.5.......67..5.
269413785851796342347582169932165478685947213174328596516834927798251634423679851
Basic 9x9 Sudoku 527
puzzles1_unbiased
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.
. . 9 4 1 . . . . 8 5 1 . . . 3 . . . . 7 . . 2 . . 9 . 3 . . . . 4 . 8 6 . . . . . . . . 1 7 . . 2 . . . . . 1 . . 3 . . 2 . . . 8 . 5 . . . . . . . 6 7 . . 5 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
269413785851796342347582169932165478685947213174328596516834927798251634423679851 #1 Unfair (778) Hidden Single: r2c3=1 Hidden Single: r5c2=8 Hidden Single: r9c3=3 Hidden Single: r8c4=2 Hidden Single: r5c5=4 Hidden Single: r2c9=2 Hidden Single: r7c3=6 Hidden Single: r3c5=8 Hidden Single: r4c1...
normal_sudoku_6040
.....7.4..3..5.....4.2...7...7..6......52.31.51..78.92....8.76...6...2.127..1..58
182367549739854126645291873927136485468529317513478692351982764896745231274613958
Basic 9x9 Sudoku 6040
01_file1
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.
. . . . . 7 . 4 . . 3 . . 5 . . . . . 4 . 2 . . . 7 . . . 7 . . 6 . . . . . . 5 2 . 3 1 . 5 1 . . 7 8 . 9 2 . . . . 8 . 7 6 . . . 6 . . . 2 . 1 2 7 . . 1 . . 5 8
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
182367549739854126645291873927136485468529317513478692351982764896745231274613958 #1 Hard (608) Naked Single: r6c8=9 Naked Single: r4c8=8 Naked Single: r8c8=3 Full House: r2c8=2 Hidden Single: r2c1=7 Hidden Single: r5c9=7 Hidden Single: r6c7=6 Hidden Single: r4c2=2 Hidden Single: r7c6=2 Hi...
normal_sudoku_4848
..57..8....2.9....48.3....2.....93.5.5.43.92.6.....4....6.8..1..1.5..2.......7..3
165742839372896154489351762824619375751438926693275481236984517917563248548127693
Basic 9x9 Sudoku 4848
puzzles4_forum_hardest_1905
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.
. . 5 7 . . 8 . . . . 2 . 9 . . . . 4 8 . 3 . . . . 2 . . . . . 9 3 . 5 . 5 . 4 3 . 9 2 . 6 . . . . . 4 . . . . 6 . 8 . . 1 . . 1 . 5 . . 2 . . . . . . . 7 . . 3
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
165742839372896154489351762824619375751438926693275481236984517917563248548127693 #1 Extreme (12206) bf Brute Force: r5c7=9 Locked Candidates Type 1 (Pointing): 1 in b6 => r12c9<>1 Hidden Pair: 3,9 in r6c23 => r6c2<>2, r6c23<>7, r6c3<>1, r6c3<>8 Locked Candidates Type 1 (Pointing): 2 in b4 => r4c45<>2 Fi...
normal_sudoku_1961
1.7......2...1.4.6.9......88.37..259....8......41..6......7............46328.5...
147658932258319476396427518813764259769582143524193687481976325975231864632845791
Basic 9x9 Sudoku 1961
puzzles1_unbiased
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.
1 . 7 . . . . . . 2 . . . 1 . 4 . 6 . 9 . . . . . . 8 8 . 3 7 . . 2 5 9 . . . . 8 . . . . . . 4 1 . . 6 . . . . . . 7 . . . . . . . . . . . . 4 6 3 2 8 . 5 . . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
147658932258319476396427518813764259769582143524193687481976325975231864632845791 #1 Medium (448) Naked Single: r4c1=8 Hidden Single: r4c2=1 Hidden Single: r6c8=8 Hidden Single: r5c8=4 Hidden Single: r3c1=3 Hidden Single: r9c5=4 Naked Single: r4c5=6 Full House: r4c6=4 Hidden Single: r7c1=4 ...
normal_sudoku_5254
.....63..53.789.2...2.....92...7..6...32.......4..5....48.1...6.9.8..1..12..47.8.
987426315531789624462531879259378461813264597674195238348912756796853142125647983
Basic 9x9 Sudoku 5254
puzzles4_forum_hardest_1905
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.
. . . . . 6 3 . . 5 3 . 7 8 9 . 2 . . . 2 . . . . . 9 2 . . . 7 . . 6 . . . 3 2 . . . . . . . 4 . . 5 . . . . 4 8 . 1 . . . 6 . 9 . 8 . . 1 . . 1 2 . . 4 7 . 8 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
987426315531789624462531879259378461813264597674195238348912756796853142125647983 #1 Medium (372) Hidden Single: r2c2=3 Hidden Single: r1c5=2 Locked Pair: 2,3 in r78c6 => r34c6,r79c4,r8c5<>3 Hidden Single: r9c9=3 Hidden Single: r4c4=3 Hidden Single: r6c8=3 Hidden Single: r3c5=3 Hidden Single: r8...
normal_sudoku_4514
6.13...5.....261.3..7.1.6.......2...274..3...8531....6....9...55.826.3...4.....8.
621347859485926173937815624169452738274683591853179246312798465598264317746531982
Basic 9x9 Sudoku 4514
puzzles4_forum_hardest_1905
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.
6 . 1 3 . . . 5 . . . . . 2 6 1 . 3 . . 7 . 1 . 6 . . . . . . . 2 . . . 2 7 4 . . 3 . . . 8 5 3 1 . . . . 6 . . . . 9 . . . 5 5 . 8 2 6 . 3 . . . 4 . . . . . 8 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
621347859485926173937815624169452738274683591853179246312798465598264317746531982 #1 Extreme (4428) Hidden Single: r5c1=2 Hidden Single: r2c3=5 Hidden Single: r5c4=6 Hidden Single: r9c5=3 Hidden Single: r4c8=3 Hidden Single: r9c3=6 Naked Single: r4c3=9 Full House: r7c3=2 Naked Single: r4c1=1 ...
normal_sudoku_608
..2..154..54.7............32..548.6..4621.......6...5...9.....6.37......68.7294..
762381549354976812918452673293548167546217398871693254429135786137864925685729431
Basic 9x9 Sudoku 608
puzzles1_unbiased
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.
. . 2 . . 1 5 4 . . 5 4 . 7 . . . . . . . . . . . . 3 2 . . 5 4 8 . 6 . . 4 6 2 1 . . . . . . . 6 . . . 5 . . . 9 . . . . . 6 . 3 7 . . . . . . 6 8 . 7 2 9 4 . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
762381549354976812918452673293548167546217398871693254429135786137864925685729431 #1 Easy (352) Hidden Single: r5c3=6 Hidden Single: r7c2=2 Hidden Single: r6c5=9 Hidden Single: r6c9=4 Hidden Single: r9c8=3 Hidden Single: r5c1=5 Hidden Single: r9c3=5 Full House: r9c9=1 Hidden Single: r6c7=2 ...
normal_sudoku_4983
.....5..4...39.5...7.4...3.183.....54.7...38..56....475....6..3.3.1...2.6.2..47.8
391625874864397512275481639183742965427569381956813247548276193739158426612934758
Basic 9x9 Sudoku 4983
01_file1
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.
. . . . . 5 . . 4 . . . 3 9 . 5 . . . 7 . 4 . . . 3 . 1 8 3 . . . . . 5 4 . 7 . . . 3 8 . . 5 6 . . . . 4 7 5 . . . . 6 . . 3 . 3 . 1 . . . 2 . 6 . 2 . . 4 7 . 8
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
391625874864397512275481639183742965427569381956813247548276193739158426612934758 #1 Unfair (1474) Hidden Single: r5c3=7 Hidden Single: r3c3=5 Hidden Single: r1c1=3 Hidden Single: r8c5=5 Naked Single: r9c4=9 Naked Single: r9c5=3 Naked Single: r9c2=1 Full House: r9c8=5 Hidden Single: r8c1=7 ...
normal_sudoku_4843
...1...6.9.5.....41.......221.8.745.4......2...6..41...2...169.59...2....3.4....5
342158967965723814187946532213897456479615328856234179724581693598362741631479285
Basic 9x9 Sudoku 4843
01_file1
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.
. . . 1 . . . 6 . 9 . 5 . . . . . 4 1 . . . . . . . 2 2 1 . 8 . 7 4 5 . 4 . . . . . . 2 . . . 6 . . 4 1 . . . 2 . . . 1 6 9 . 5 9 . . . 2 . . . . 3 . 4 . . . . 5
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
342158967965723814187946532213897456479615328856234179724581693598362741631479285 #1 Extreme (3212) Hidden Single: r4c7=4 Hidden Single: r2c8=1 Hidden Single: r1c3=2 Hidden Single: r5c5=1 Hidden Single: r9c1=6 Hidden Single: r9c7=2 Hidden Single: r7c3=4 Hidden Single: r8c8=4 Hidden Single: r8...
normal_sudoku_4051
...34..6.............7.1...26....5.8.45.6.12.8.1....46..6.1......82.5.1..5....2.4
587342961914856372632791485263174598745968123891523746326419857478235619159687234
Basic 9x9 Sudoku 4051
01_file1
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.
. . . 3 4 . . 6 . . . . . . . . . . . . . 7 . 1 . . . 2 6 . . . . 5 . 8 . 4 5 . 6 . 1 2 . 8 . 1 . . . . 4 6 . . 6 . 1 . . . . . . 8 2 . 5 . 1 . . 5 . . . . 2 . 4
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
587342961914856372632791485263174598745968123891523746326419857478235619159687234 #1 Extreme (14512) bf Hidden Single: r4c2=6 Hidden Single: r4c4=1 Hidden Single: r8c7=6 Hidden Single: r9c1=1 Hidden Single: r7c2=2 Hidden Single: r8c1=4 Hidden Single: r3c1=6 Hidden Single: r4c6=4 Hidden Single...
normal_sudoku_1836
..5.6...82....7.639.......449.6.....1.....38.36.8759..5...1........9.......2.8...
745163298281947563936582174498631752157429386362875941574316829823794615619258437
Basic 9x9 Sudoku 1836
puzzles1_unbiased
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.
. . 5 . 6 . . . 8 2 . . . . 7 . 6 3 9 . . . . . . . 4 4 9 . 6 . . . . . 1 . . . . . 3 8 . 3 6 . 8 7 5 9 . . 5 . . . 1 . . . . . . . . 9 . . . . . . . 2 . 8 . . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
745163298281947563936582174498631752157429386362875941574316829823794615619258437 #1 Easy (314) Naked Single: r6c1=3 Naked Single: r1c1=7 Naked Single: r6c3=2 Naked Single: r9c1=6 Full House: r8c1=8 Naked Single: r5c3=7 Naked Single: r6c9=1 Full House: r6c8=4 Naked Single: r4c3=8 Full Hous...
normal_sudoku_283
4.2........54.68.......15..9..5...2..57.....62.48.39.7.26..........8426...9.2..3.
472958613195436872683271594968547321357192486214863957826319745531784269749625138
Basic 9x9 Sudoku 283
puzzles1_unbiased
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.
4 . 2 . . . . . . . . 5 4 . 6 8 . . . . . . . 1 5 . . 9 . . 5 . . . 2 . . 5 7 . . . . . 6 2 . 4 8 . 3 9 . 7 . 2 6 . . . . . . . . . . 8 4 2 6 . . . 9 . 2 . . 3 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
472958613195436872683271594968547321357192486214863957826319745531784269749625138 #1 Extreme (3002) Naked Single: r6c6=3 Naked Single: r4c6=7 Naked Single: r9c6=5 Naked Single: r7c6=9 Naked Single: r1c6=8 Full House: r5c6=2 Hidden Single: r6c8=5 Hidden Single: r3c1=6 Hidden Single: r9c2=4 ...
normal_sudoku_3910
..6.79.5.1.95.3...7..16...3....3......7...38...37...419.5.1.67..61......3.......5
436279158129583467758164923542831796617945382893726541985312674261457839374698215
Basic 9x9 Sudoku 3910
01_file1
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.
. . 6 . 7 9 . 5 . 1 . 9 5 . 3 . . . 7 . . 1 6 . . . 3 . . . . 3 . . . . . . 7 . . . 3 8 . . . 3 7 . . . 4 1 9 . 5 . 1 . 6 7 . . 6 1 . . . . . . 3 . . . . . . . 5
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
436279158129583467758164923542831796617945382893726541985312674261457839374698215 #1 Extreme (33130) bf Hidden Single: r5c7=3 Hidden Single: r1c7=1 Hidden Single: r3c2=5 Hidden Single: r8c6=7 Hidden Single: r9c2=7 Hidden Single: r9c8=1 Hidden Single: r1c2=3 Hidden Single: r7c4=3 Hidden Single...
normal_sudoku_5793
..3....92....3.8..94.2....7358...4...6.....8...9.8......2..9.348..47.92.......7..
183746592627935841945218367358162479461597283279384156712859634836471925594623718
Basic 9x9 Sudoku 5793
01_file1
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.
. . 3 . . . . 9 2 . . . . 3 . 8 . . 9 4 . 2 . . . . 7 3 5 8 . . . 4 . . . 6 . . . . . 8 . . . 9 . 8 . . . . . . 2 . . 9 . 3 4 8 . . 4 7 . 9 2 . . . . . . . 7 . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
183746592627935841945218367358162479461597283279384156712859634836471925594623718 #1 Extreme (25348) bf Hidden Single: r4c3=8 Hidden Single: r2c4=9 Hidden Single: r3c7=3 Hidden Single: r2c8=4 Hidden Single: r7c4=8 Hidden Single: r9c9=8 Hidden Single: r1c2=8 Hidden Single: r9c2=9 Hidden Single...
normal_sudoku_2081
.........478.9125.6...48..7...815.3........4.3.5.......37.....58.4..27..1...74..8
591237684478691253623548197746815932289763541315429876937186425864352719152974368
Basic 9x9 Sudoku 2081
puzzles1_unbiased
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.
. . . . . . . . . 4 7 8 . 9 1 2 5 . 6 . . . 4 8 . . 7 . . . 8 1 5 . 3 . . . . . . . . 4 . 3 . 5 . . . . . . . 3 7 . . . . . 5 8 . 4 . . 2 7 . . 1 . . . 7 4 . . 8
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
591237684478691253623548197746815932289763541315429876937186425864352719152974368 #1 Medium (522) Naked Single: r2c2=7 Hidden Single: r5c7=5 Hidden Single: r4c2=4 Hidden Single: r6c8=7 Hidden Single: r1c1=5 Hidden Single: r7c5=8 Hidden Single: r6c4=4 Hidden Single: r7c7=4 Hidden Single: r1c9=...
normal_sudoku_918
.4...7...2....8.9...3..5......5...7..7..8...462...9.1.168.925....9.....8..2...9..
546927381217638495893145762384561279971283654625479813168392547439756128752814936
Basic 9x9 Sudoku 918
puzzles1_unbiased
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.
. 4 . . . 7 . . . 2 . . . . 8 . 9 . . . 3 . . 5 . . . . . . 5 . . . 7 . . 7 . . 8 . . . 4 6 2 . . . 9 . 1 . 1 6 8 . 9 2 5 . . . . 9 . . . . . 8 . . 2 . . . 9 . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
546927381217638495893145762384561279971283654625479813168392547439756128752814936 #1 Medium (654) Hidden Single: r9c3=2 Hidden Single: r6c7=8 Hidden Single: r9c4=8 Hidden Single: r5c1=9 Hidden Single: r4c9=9 Hidden Single: r2c3=7 Naked Single: r3c1=8 Naked Single: r1c1=5 Naked Single: r2c2=1 ...
normal_sudoku_5686
..2.14...13.82..4....3.7..237.1.2....8.4..2.......87..8..........7..3...4......95
762514983135829647948367152374192568681475239259638714893256471517943826426781395
Basic 9x9 Sudoku 5686
01_file1
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.
. . 2 . 1 4 . . . 1 3 . 8 2 . . 4 . . . . 3 . 7 . . 2 3 7 . 1 . 2 . . . . 8 . 4 . . 2 . . . . . . . 8 7 . . 8 . . . . . . . . . . 7 . . 3 . . . 4 . . . . . . 9 5
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
762514983135829647948367152374192568681475239259638714893256471517943826426781395 #1 Extreme (15616) bf Hidden Single: r4c6=2 Hidden Single: r5c5=7 Hidden Single: r3c3=8 Hidden Single: r2c9=7 Hidden Single: r1c1=7 Hidden Single: r9c4=7 Hidden Single: r6c5=3 Hidden Single: r3c2=4 Hidden Single...
normal_sudoku_3316
.36..97.....2..5..2...3..9......18......94..716.3...4.3....2.7.9...13.5.615......
436159782897246513251738496749621835523894167168375249384562971972413658615987324
Basic 9x9 Sudoku 3316
puzzles4_forum_hardest_1905
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.
. 3 6 . . 9 7 . . . . . 2 . . 5 . . 2 . . . 3 . . 9 . . . . . . 1 8 . . . . . . 9 4 . . 7 1 6 . 3 . . . 4 . 3 . . . . 2 . 7 . 9 . . . 1 3 . 5 . 6 1 5 . . . . . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
436159782897246513251738496749621835523894167168375249384562971972413658615987324 #1 Extreme (5192) Hidden Single: r9c1=6 Locked Pair: 4,8 in r7c23 => r7c4579,r8c23<>4, r7c459,r8c23<>8 Locked Candidates Type 1 (Pointing): 2 in b7 => r8c79<>2 Locked Candidates Type 1 (Pointing): 7 in b7 => r8c4<>7 Locked ...
normal_sudoku_1447
.67.2.14.2.4......13...67.2.4......1..671.2.4.2....37.....3......35.2......86...3
867325149294187635135946782748293561356718294921654378612439857483572916579861423
Basic 9x9 Sudoku 1447
01_file1
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.
. 6 7 . 2 . 1 4 . 2 . 4 . . . . . . 1 3 . . . 6 7 . 2 . 4 . . . . . . 1 . . 6 7 1 . 2 . 4 . 2 . . . . 3 7 . . . . . 3 . . . . . . 3 5 . 2 . . . . . . 8 6 . . . 3
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
867325149294187635135946782748293561356718294921654378612439857483572916579861423 #1 Extreme (22234) bf Hidden Single: r2c1=2 Hidden Single: r6c3=1 Hidden Single: r4c1=7 Hidden Single: r4c4=2 Hidden Single: r2c8=3 Hidden Single: r5c1=3 Hidden Single: r4c6=3 Hidden Single: r6c4=6 Hidden Single...
normal_sudoku_345
.9...631..5.9....2..81.....73..49.8...9.....381..6.97.94.6..73.5....41.6.....7...
297486315154973862368125497736549281429718653815362974942651738573894126681237549
Basic 9x9 Sudoku 345
01_file1
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.
. 9 . . . 6 3 1 . . 5 . 9 . . . . 2 . . 8 1 . . . . . 7 3 . . 4 9 . 8 . . . 9 . . . . . 3 8 1 . . 6 . 9 7 . 9 4 . 6 . . 7 3 . 5 . . . . 4 1 . 6 . . . . . 7 . . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
297486315154973862368125497736549281429718653815362974942651738573894126681237549 #1 Easy (274) Hidden Single: r5c3=9 Hidden Single: r1c4=4 Naked Single: r1c1=2 Naked Single: r1c3=7 Naked Single: r3c2=6 Naked Single: r5c2=2 Naked Single: r9c2=8 Full House: r8c2=7 Hidden Single: r4c9=1 Hidd...
normal_sudoku_937
..2.1.......7.45.....82....5..4762....3.9.84......2.........46.1.6...3594.8.59..7
852913674319764582647825931581476293723591846964382715295137468176248359438659127
Basic 9x9 Sudoku 937
puzzles1_unbiased
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.
. . 2 . 1 . . . . . . . 7 . 4 5 . . . . . 8 2 . . . . 5 . . 4 7 6 2 . . . . 3 . 9 . 8 4 . . . . . . 2 . . . . . . . . . 4 6 . 1 . 6 . . . 3 5 9 4 . 8 . 5 9 . . 7
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
852913674319764582647825931581476293723591846964382715295137468176248359438659127 #1 Easy (282) Naked Single: r8c7=3 Naked Single: r8c4=2 Naked Single: r9c7=1 Naked Single: r8c2=7 Naked Single: r9c8=2 Full House: r7c9=8 Naked Single: r8c6=8 Full House: r8c5=4 Naked Single: r9c2=3 Full Hous...
normal_sudoku_1916
..2.95.371...2....5.74.....3.......9.5...8.....1..36..816.5.423........6.2..3.87.
462895137198327564537416298384562719659178342271943685816759423743281956925634871
Basic 9x9 Sudoku 1916
puzzles1_unbiased
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.
. . 2 . 9 5 . 3 7 1 . . . 2 . . . . 5 . 7 4 . . . . . 3 . . . . . . . 9 . 5 . . . 8 . . . . . 1 . . 3 6 . . 8 1 6 . 5 . 4 2 3 . . . . . . . . 6 . 2 . . 3 . 8 7 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
462895137198327564537416298384562719659178342271943685816759423743281956925634871 #1 Easy (332) Naked Single: r7c9=3 Naked Single: r1c7=1 Hidden Single: r3c2=3 Hidden Single: r2c4=3 Hidden Single: r5c7=3 Hidden Single: r8c3=3 Hidden Single: r2c6=7 Naked Single: r7c6=9 Full House: r7c4=7 Hi...
normal_sudoku_1781
..8..1..7.7...491....7...4..8.9....421.4...59....32.......6.....9.8....18.....5..
948651237675324918123798645386975124217486359459132876731569482592843761864217593
Basic 9x9 Sudoku 1781
puzzles4_forum_hardest_1905
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.
. . 8 . . 1 . . 7 . 7 . . . 4 9 1 . . . . 7 . . . 4 . . 8 . 9 . . . . 4 2 1 . 4 . . . 5 9 . . . . 3 2 . . . . . . . 6 . . . . . 9 . 8 . . . . 1 8 . . . . . 5 . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
948651237675324918123798645386975124217486359459132876731569482592843761864217593 #1 Extreme (33388) bf Locked Candidates Type 1 (Pointing): 8 in b5 => r5c78<>8 Forcing Net Verity => r3c6<>9 r6c1=7 (r6c1<>4) r6c1<>9 r6c3=9 r6c3<>4 r6c2=4 r1c2<>4 r1c1=4 r1c1<>9 r1c5=9 r3c6<>9 r6c3=7 r6c3<>9 r3c3=9 r3c6<>9 r6...
normal_sudoku_520
.....2.7.4.5.......7..534.8.2.....946...1..2...9...1...961...42......8..1.32.6.5.
318492675465781239972653418821367594654819723739524186596178342247935861183246957
Basic 9x9 Sudoku 520
puzzles1_unbiased
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.
. . . . . 2 . 7 . 4 . 5 . . . . . . . 7 . . 5 3 4 . 8 . 2 . . . . . 9 4 6 . . . 1 . . 2 . . . 9 . . . 1 . . . 9 6 1 . . . 4 2 . . . . . . 8 . . 1 . 3 2 . 6 . 5 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
318492675465781239972653418821367594654819723739524186596178342247935861183246957 #1 Hard (536) Naked Single: r9c8=5 Hidden Single: r2c6=1 Hidden Single: r2c7=2 Hidden Single: r6c8=8 Hidden Single: r4c3=1 Naked Single: r1c3=8 Naked Single: r3c3=2 Naked Single: r3c1=9 Naked Single: r1c1=3 N...
normal_sudoku_4561
85.7..2..64...5..1.13............7....1.43..99...6..42....8..2..8...93.5...4..69.
859714236642935871713628954564192783271843569938567142195386427486279315327451698
Basic 9x9 Sudoku 4561
puzzles4_forum_hardest_1905
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.
8 5 . 7 . . 2 . . 6 4 . . . 5 . . 1 . 1 3 . . . . . . . . . . . . 7 . . . . 1 . 4 3 . . 9 9 . . . 6 . . 4 2 . . . . 8 . . 2 . . 8 . . . 9 3 . 5 . . . 4 . . 6 9 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
859714236642935871713628954564192783271843569938567142195386427486279315327451698 #1 Medium (466) Naked Single: r1c1=8 Naked Single: r1c3=9 Hidden Single: r6c6=7 Naked Single: r6c2=3 Hidden Single: r7c2=9 Hidden Single: r9c9=8 Locked Candidates Type 1 (Pointing): 6 in b7 => r4c3<>6 Locked Candid...
normal_sudoku_573
.6.8.49.....2....44....5.8.8....1.7.75..4..1...1.3...8...18..4.1..45...7.....7...
367814952985276134412395786896521473753648219241739568679182345128453697534967821
Basic 9x9 Sudoku 573
puzzles4_forum_hardest_1905
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.
. 6 . 8 . 4 9 . . . . . 2 . . . . 4 4 . . . . 5 . 8 . 8 . . . . 1 . 7 . 7 5 . . 4 . . 1 . . . 1 . 3 . . . 8 . . . 1 8 . . 4 . 1 . . 4 5 . . . 7 . . . . . 7 . . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
367814952985276134412395786896521473753648219241739568679182345128453697534967821 #1 Extreme (33484) bf Hidden Single: r1c6=4 Hidden Single: r5c6=8 Hidden Single: r6c4=7 Hidden Single: r4c4=5 Brute Force: r5c7=2 Brute Force: r5c9=9 Naked Single: r5c4=6 Full House: r5c3=3 Forcing Chain Contrad...
normal_sudoku_3887
4..6....1..1..3.7.9.....3....974.8...1..69...74..3..9..5...7.8.2...5......7..4.3.
435678921861923574972415368629741853513869247748532196356197482284356719197284635
Basic 9x9 Sudoku 3887
puzzles4_forum_hardest_1905
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.
4 . . 6 . . . . 1 . . 1 . . 3 . 7 . 9 . . . . . 3 . . . . 9 7 4 . 8 . . . 1 . . 6 9 . . . 7 4 . . 3 . . 9 . . 5 . . . 7 . 8 . 2 . . . 5 . . . . . . 7 . . 4 . 3 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
435678921861923574972415368629741853513869247748532196356197482284356719197284635 #1 Extreme (15904) bf Brute Force: r5c5=6 Hidden Single: r8c6=6 Empty Rectangle: 6 in b4 (r34c8) => r3c3<>6 Discontinuous Nice Loop: 6 r6c7 -6- r6c3 =6= r7c3 =4= r8c3 -4- r8c8 -1- r4c8 =1= r6c7 => r6c7<>6 Forcing Net Contra...
normal_sudoku_3146
..7...3.6..8.37..43..........9.61..2..297..31.7...38...91..8.23.8....1..7...2.9..
417582396928637514365419287539861742842975631176243859691758423284396175753124968
Basic 9x9 Sudoku 3146
01_file1
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.
. . 7 . . . 3 . 6 . . 8 . 3 7 . . 4 3 . . . . . . . . . . 9 . 6 1 . . 2 . . 2 9 7 . . 3 1 . 7 . . . 3 8 . . . 9 1 . . 8 . 2 3 . 8 . . . . 1 . . 7 . . . 2 . 9 . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
417582396928637514365419287539861742842975631176243859691758423284396175753124968 #1 Hard (1508) Hidden Single: r1c7=3 Hidden Single: r4c2=3 Hidden Single: r6c1=1 Hidden Single: r4c4=8 Hidden Single: r5c1=8 Hidden Single: r6c4=2 Hidden Single: r8c1=2 Hidden Single: r9c4=1 Hidden Single: r9c3=...
normal_sudoku_6626
3....6..8..67.8139..1..367.2.........542..7...9.....5......24.....6....7..2547.61
379416528546728139821953674218375946654289713793164852167832495435691287982547361
Basic 9x9 Sudoku 6626
puzzles4_forum_hardest_1905
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.
3 . . . . 6 . . 8 . . 6 7 . 8 1 3 9 . . 1 . . 3 6 7 . 2 . . . . . . . . . 5 4 2 . . 7 . . . 9 . . . . . 5 . . . . . . 2 4 . . . . . 6 . . . . 7 . . 2 5 4 7 . 6 1
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
379416528546728139821953674218375946654289713793164852167832495435691287982547361 #1 Unfair (958) Hidden Single: r2c8=3 Hidden Single: r4c6=5 Hidden Single: r6c6=4 Locked Candidates Type 2 (Claiming): 4 in r2 => r13c2,r3c1<>4 Empty Rectangle: 3 in b8 (r5c59) => r7c9<>3 Naked Single: r7c9=5 Hidden S...
normal_sudoku_1497
1.59..3...42...961............7.163..1.5....97...6..15..1..7.......9.5......53.7.
185946327342875961967312854459721638216538749738469215521687493673194582894253176
Basic 9x9 Sudoku 1497
01_file1
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.
1 . 5 9 . . 3 . . . 4 2 . . . 9 6 1 . . . . . . . . . . . . 7 . 1 6 3 . . 1 . 5 . . . . 9 7 . . . 6 . . 1 5 . . 1 . . 7 . . . . . . . 9 . 5 . . . . . . 5 3 . 7 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
185946327342875961967312854459721638216538749738469215521687493673194582894253176 #1 Extreme (14236) bf Hidden Single: r5c2=1 Hidden Single: r2c5=7 Hidden Single: r6c6=9 Hidden Single: r3c8=5 Hidden Single: r8c4=1 Hidden Single: r9c7=1 Hidden Single: r2c6=5 Hidden Single: r3c5=1 Hidden Single...
normal_sudoku_243
..74.....2....5....6......982.6.39.59...5.3....5...21..89.36..1..3..4....5.17..3.
597461823248395167361827549824613975916752384735948216489236751173584692652179438
Basic 9x9 Sudoku 243
puzzles1_unbiased
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.
. . 7 4 . . . . . 2 . . . . 5 . . . . 6 . . . . . . 9 8 2 . 6 . 3 9 . 5 9 . . . 5 . 3 . . . . 5 . . . 2 1 . . 8 9 . 3 6 . . 1 . . 3 . . 4 . . . . 5 . 1 7 . . 3 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
597461823248395167361827549824613975916752384735948216489236751173584692652179438 #1 Extreme (2522) Hidden Single: r4c6=3 Hidden Single: r9c3=2 Hidden Single: r9c6=9 Hidden Single: r8c8=9 Hidden Single: r4c8=7 Hidden Single: r5c3=6 Hidden Single: r6c9=6 Locked Candidates Type 1 (Pointing): 4 in ...
normal_sudoku_1905
.4.5....285.....61..6.18.5..3..7.2..98...3..5....86...41......8.6.3....95......1.
147569832852734961396218457631975284984123675725486193413697528268351749579842316
Basic 9x9 Sudoku 1905
puzzles1_unbiased
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.
. 4 . 5 . . . . 2 8 5 . . . . . 6 1 . . 6 . 1 8 . 5 . . 3 . . 7 . 2 . . 9 8 . . . 3 . . 5 . . . . 8 6 . . . 4 1 . . . . . . 8 . 6 . 3 . . . . 9 5 . . . . . . 1 .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
147569832852734961396218457631975284984123675725486193413697528268351749579842316 #1 Easy (356) Naked Single: r4c2=3 Hidden Single: r1c5=6 Hidden Single: r5c7=6 Naked Single: r4c9=4 Naked Single: r5c8=7 Naked Single: r6c9=3 Naked Single: r3c9=7 Full House: r9c9=6 Naked Single: r6c8=9 Naked...
normal_sudoku_1295
.....8...62.14....7......8.43..9....1......278.2.....6....8.9.....75.2..59....6..
913528764628147539745963182437296815169835427852471396271684953386759241594312678
Basic 9x9 Sudoku 1295
puzzles1_unbiased
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.
. . . . . 8 . . . 6 2 . 1 4 . . . . 7 . . . . . . 8 . 4 3 . . 9 . . . . 1 . . . . . . 2 7 8 . 2 . . . . . 6 . . . . 8 . 9 . . . . . 7 5 . 2 . . 5 9 . . . . 6 . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
913528764628147539745963182437296815169835427852471396271684953386759241594312678 #1 Easy (412) Naked Single: r4c1=4 Naked Single: r8c1=3 Naked Single: r1c1=9 Full House: r7c1=2 Hidden Single: r2c3=8 Hidden Single: r6c8=9 Hidden Single: r5c3=9 Hidden Single: r8c6=9 Hidden Single: r8c2=8 Hi...
normal_sudoku_6094
8...9...61.64.79...9.....7......2..1.8..467....2..8....6...4.535..3......4..1.6..
837291546126457938495683172654972381389146725712538469961724853578369214243815697
Basic 9x9 Sudoku 6094
puzzles4_forum_hardest_1905
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.
8 . . . 9 . . . 6 1 . 6 4 . 7 9 . . . 9 . . . . . 7 . . . . . . 2 . . 1 . 8 . . 4 6 7 . . . . 2 . . 8 . . . . 6 . . . 4 . 5 3 5 . . 3 . . . . . . 4 . . 1 . 6 . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
837291546126457938495683172654972381389146725712538469961724853578369214243815697 #1 Extreme (14366) bf Brute Force: r5c6=6 Naked Single: r8c6=9 Naked Single: r9c6=5 Hidden Single: r3c4=6 Hidden Single: r8c5=6 Locked Candidates Type 1 (Pointing): 8 in b2 => r7c5<>8 Locked Candidates Type 1 (Pointin...
normal_sudoku_4715
.3...4..9476....3...1...4..7.9......36..1...4.2...9.5.6..2...98.9.86.1...1..4.3..
532674819476198532981325467759436281368512974124789653643251798297863145815947326
Basic 9x9 Sudoku 4715
01_file1
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.
. 3 . . . 4 . . 9 4 7 6 . . . . 3 . . . 1 . . . 4 . . 7 . 9 . . . . . . 3 6 . . 1 . . . 4 . 2 . . . 9 . 5 . 6 . . 2 . . . 9 8 . 9 . 8 6 . 1 . . . 1 . . 4 . 3 . .
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
532674819476198532981325467759436281368512974124789653643251798297863145815947326 #1 Extreme (2362) Hidden Single: r2c1=4 Hidden Single: r5c7=9 Hidden Single: r6c1=1 Hidden Single: r7c6=1 Hidden Single: r8c8=4 Hidden Single: r9c4=9 Hidden Single: r3c1=9 Hidden Single: r2c5=9 Locked Candidates...
normal_sudoku_2737
18......44....8....2.....6..18..23..3.9....7.2.4..3.51....3.......95...2..12.46.3
187629534436578129925341867518792346369415278274863951692137485843956712751284693
Basic 9x9 Sudoku 2737
puzzles1_unbiased
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.
1 8 . . . . . . 4 4 . . . . 8 . . . . 2 . . . . . 6 . . 1 8 . . 2 3 . . 3 . 9 . . . . 7 . 2 . 4 . . 3 . 5 1 . . . . 3 . . . . . . . 9 5 . . . 2 . . 1 2 . 4 6 . 3
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
187629534436578129925341867518792346369415278274863951692137485843956712751284693 #1 Extreme (3516) Hidden Single: r6c1=2 Hidden Single: r5c7=2 Hidden Single: r7c3=2 Hidden Single: r4c8=4 Locked Triple: 1,8,9 in r789c8 => r12c8,r7c79<>9, r2c8,r78c7<>1, r7c79,r8c7<>8 Locked Candidates Type 1 (Pointing)...
normal_sudoku_5828
5...4......6..5..1.1.2.........1.9...61..3..7..37...2..87.5..9..3.4.....6....7..8
579341682326985471418276539752814963961523847843769125187652394235498716694137258
Basic 9x9 Sudoku 5828
puzzles4_forum_hardest_1905
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.
5 . . . 4 . . . . . . 6 . . 5 . . 1 . 1 . 2 . . . . . . . . . 1 . 9 . . . 6 1 . . 3 . . 7 . . 3 7 . . . 2 . . 8 7 . 5 . . 9 . . 3 . 4 . . . . . 6 . . . . 7 . . 8
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
579341682326985471418276539752814963961523847843769125187652394235498716694137258 #1 Extreme (39394) bf Brute Force: r5c3=1 Hidden Single: r6c7=1 Grouped Discontinuous Nice Loop: 4 r9c8 -4- r7c79 =4= r7c1 =1= r8c1 -1- r8c8 =1= r9c8 => r9c8<>4 Forcing Chain Contradiction in c6 => r8c1<>9 r8c1=9 r89c3<>9 r1...
normal_sudoku_5091
.....2..8.2...879..5..7..6...3..19..2..4...3..9..2...6..17.5...46....5.7.7..8...9
739612458126548793854973261643851972217496835598327146981765324462139587375284619
Basic 9x9 Sudoku 5091
puzzles4_forum_hardest_1905
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.
. . . . . 2 . . 8 . 2 . . . 8 7 9 . . 5 . . 7 . . 6 . . . 3 . . 1 9 . . 2 . . 4 . . . 3 . . 9 . . 2 . . . 6 . . 1 7 . 5 . . . 4 6 . . . . 5 . 7 . 7 . . 8 . . . 9
9
9
None
Complete the sudoku board based on the rules and visual elements.
sudoku
sudoku_annotation
hard
739612458126548793854973261643851972217496835598327146981765324462139587375284619 #1 Hard (636) Hidden Single: r7c4=7 Locked Candidates Type 2 (Claiming): 2 in r7 => r89c8,r9c7<>2 Locked Candidates Type 2 (Claiming): 3 in r8 => r7c5,r9c46<>3 Naked Pair: 1,8 in r5c27 => r5c3<>8, r5c9<>1 Naked Single: r5c9...