Play !
Down under you find a list of very hard sudoku puzzles. You can copy a puzzle from the screen and paste it into the dropbox of the app. You can solve up each puzzle using the "Apply logic" button until the 6 basic sudoku rules don't give any progress anymore. At this point you must find the advanced technique to break the puzzle. It can be a simple swordfish, but it can also be a complex grouped continuous nice loop or a sue de coq. When you have applied such a technique you can use "Apply logic" again. Good luck!
Sudoku puzzles:
**** PUZZLE OF THE WEEK ****
..1.....7...89..........6..26..3.......5...749...........1.4.5.83.............2..
Demo for video about How to use the Sudoku Explorer:
..45......1..9.5.......2.18.329.....1..2.7..3.....165.72.6.......8.2..7......43..
Skyscraper: 3 in r1c6,r3c1 (connected by r8c16) => r3c45<>3
FISHES
X-Wing
.1............2..42.34..6....596..8..38...19..2..783....4..59.89..3............7.
X-Wing: 1 r27 c58 => r3c58,r9c5<>1
1..7....37....2....59.......9..2.54...4.9.1...12.3..8.......87....8....58....3..6
* X-Wing: 2 r38 c18 => r19c8,r7c1<>2
7....36.8.....24..643........4...8623...5...4261...5........185..73.....8.94....6
X-Wing: 7 r26 c59 => r3c9<>7
Swordfish
...3.8..2....4.7....197..8.9.5..3..6.37...52.8..5..9.3.7..961....6.3....4..8.7...
Swordfish: 1 r149 c258 => r2c8,r56c5,r68c2<>1
...........82.69..1.98.42.6..46.25..7.......8..13.74..6.34.57.9..59.38...........
(X-Wing: 7 c34 r19 => r1c259,r9c25<>7)
Swordfish: 1 r247 c589 => r1c59,r589c8,r8c59,r9c59<>1 (breaking technique)
8...6.........76...259...1...86.4...4.......6...1.83...1...679...24.........9...4
Swordfish: 1 r159 c367 => r2c3,r48c7,r8c6<>1
..31.54......7....6.49.37.55.1...3.2.7..3..5.8.2...9.71.73.62.4....1......62.75..
Swordfish: 8 c347 r258 => r2c2689,r58c9,r8c26<>8
.....4..7....9..8.6.87..3.5..4..2.1.35.....42.6.5..9..4.3..78.1.7..1....2..4.....
Swordfish: 6 r147 c458 => r28c4,r89c8,r9c5<>6
Jellyfish
..18...2.....935......6...3.65..83.1..3...4..7.23..85.1...5......718.....8...91..
Jellyfish: 4 r2349 c1348 => r18c1,r7c348,r8c8<>4
FINNED FISHES
Finned X-Wing
.....9..1...3..6.....521.89..5..4..66.9...1.27..6..8..51.983.....7..2...3..1.....
Finned X-Wing: 3 c38 r16 fr4c8 => r6c9<>3
6.21......1......3..75...8......2..9..46.87..8..4......8...95..3......2......41.8
Finned X-Wing: 5 c36 r68 fr9c3 => r8c2<>5
.6...83....37.....14.2.....6......812..981..787......5.....2.54.....97....78...1.
Finned X-Wing: 5 c16 r29 fr8c1 => r9c2<>5
Sashimi X-Wing
......847.7384..9..5...7..........76..16543..86..........4...3..8..1396.234......
Sashimi X-Wing: 2 c58 r34 fr5c8 fr6c8 => r4c7<>2 Apply additional Discontinuous Nice Loop starting on R4C6) to solve the puzzle
Finned swordfish
...7.....4....1.6.237.....4..182...5...379...3...154..6.....328.5.1....9.....6...
Finned Swordfish: 2 c247 r259 fr6c2 => r5c3<>2
..89.45636....1..8..7....1....3...5.....8.....4...6....8....1..1..8....29351.74..
Finned Swordfish: 4 r347 c159 fr7c4 => r8c5<>4
....2..3......1...7216.....18...94...56.1.38...38...15.....6597...1......3..8....
Finned Swordfish: 7 c257 r268 fr1c7 => r2c8<>7
Sashimi swordfish
...1.......9..46.8..4..857..876.....1.......9.....214..358..7..6.13..4.......1...
Sashimi Swordfish: 2 r128 c259 fr1c7 fr1c8 fr2c8 => r3c9<>2 Apply additional XY-Wing to solve the puzzle
...........51289.4.2...7.537.6..5....1.....7....6..3.246.5...8.2.37645...........
Sashimi Swordfish: 1 r367 c367 fr6c8 => r4c7<>1
3....4.7...928....1.4..7..59.1.......3..4..6.......1.28..5..6.3....615...4.8....9
Sashimi Swordfish: 2 c128 r358 fr4c2 => r5c3<>2 Apply additional Turbot Fish to solve the puzzle
8..34..65..........37.58..252.8.........9.........3.963..52.84..........18..36..9
Sashimi Swordfish: 4 r359 c347 fr3c1 => r2c3<>4
SINGLE DIGIT PATTERNS
Skyscraper
..1..7....2.14......9....719..2....5.476.931.8....4..957....1......21.3....9..5..
Skyscraper: 8 in r2c8,r8c7 (connected by r28c3) => r3c7,r9c8<>8
.1.5.43..59........4.78...........85.85.6.79.72...........21.3........17..19.5.6.
Skyscraper: 8 in r1c9,r9c7 (connected by r19c1) => r2c7,r7c9<>8
29.8564.7..6.3....7.....8...5...8.....85632.....9...8...9.....1....7.6..1.7624.98
Skyscraper: 1 in r1c3,r5c2 (connected by r15c8) => r23c2,r46c3<>1
.19......8..145....74.3.....413.9..5..2...8..9..2.734.....6.51....794..2......98.
Skyscraper: 6 in r3c9,r4c8 (connected by r34c1) => r2c8,r6c9<>6
......4...2.61.......2.567148.7.15....7...2....69.2.476195.8.......69.8...3......
Skyscraper: 4 in r2c6,r3c2 (connected by r9c26) => r2c3,r3c5<>4
..........1...6.4.5.624.71...9....25..28.14..48....6...43.951.2.5.4...3..........
Skyscraper: 7 in r1c6,r2c3 (connected by r9c36) => r1c12,r2c5<>7
.98..54....4.......2...4.19..59.7..2.6.....9.4..2.81..35.8...2.......6....61..98.
* Skyscraper: 5 in r5c4,r6c8 (connected by r8c48) => r5c9,r6c5<>5
.8.4..........6.8.216..5...4....182...25384...512....3...8..342.4.6..........7.9.
* Skyscraper: 9 in r3c4,r6c5 (connected by r36c7) => r12c5,r4c4<>9
...79.3.8.......5...8.6.7...6.4....71.75264.98....9.6...2.8.6...4.......6.5.17...
Skyscraper: 1 in r2c3,r3c9 (connected by r8c39) => r2c7,r3c2<>1
Skyscraper: 2 in r2c7,r3c4 (connected by r9c47) => r2c6,r3c9<>2
.............69..37..28.95..867....45...9...24....538..19.46..78..17.............
Skyscraper: 2 in r4c6,r6c2 (connected by r8c26) => r4c1,r6c5<>2
2-String Kite
.35...29.....6..7....38...55...7.8....8.2.5....2.4...99...36....1..9.....24...93.
2-String Kite: 4 in r2c1,r5c8 (connected by r2c7,r3c8) => r5c1<>4
..5...9......31..2236..7.8...3179...............6287...8.3..2464..86......2...1..
2-String Kite: 4 in r1c9,r6c3 (connected by r1c2,r2c3) => r6c9<>4
8......5424.76...3.....46..9...16....12...43....43...6..16.....4...97.6132......5
2-String Kite: 2 in r6c6,r8c7 (connected by r7c6,r8c4) => r6c7<>2
..2.8..93......48....1..5....3.1...6...5.7...4...9.1....7..3....18......64..7.9..
2-String Kite: 2 in r4c7,r9c4 (connected by r8c7,r9c9) => r4c4<>2
..1.435..54..7......78.....6......2....916....7......1.....19......3..87..458.3..
2-String Kite: 9 in r2c8,r4c3 (connected by r4c9,r6c8) => r2c3<>9
Turbot Fish
.....24.8.5.4192.........9.6.82..5..1.......3..3..71.4.1.........9654.1.7.51.....
Turbot Fish: 6 r2c9 =6= r9c9 -6- r9c2 =6= r7c3 => r2c3<>6
1.5.2.....7...32...395..6...8.6.......69.17.......2.8...7..536...43...1.....7.5.9
Turbot Fish: 4 r3c5 =4= r7c5 -4- r7c9 =4= r9c8 => r3c8<>4
...2.........946.2..36...84251.....86...8...57.....21937...68..8.651.........7...
Turbot Fish: 3 r1c9 =3= r8c9 -3- r8c6 =3= r9c5 => r1c5<>3
Empty Rectangle
5..9...23..284..9..7...........8..6...42391...1..5...........5..2..614..95...8..6
Empty Rectangle: 8 in b9 (r57c2) => r5c8<>8
9.1..2.......79.28......6....473..8..6.....7..9..412....7......82.36.......5..7.3
Empty Rectangle: 5 in b7 (r6c38) => r7c8<>5
1....3...965...8....7.9...17....296..9..7..4..569....36...2.3....4...526...1....7
Empty Rectangle: 5 in b7 (r6c38) => r7c8<>5
48..71..3.1..5..8...3..915.......6.8.4.....1.1.8.......241..8...5..4..2.9..82..35
Empty Rectangle: 7 in b4 (r58c4) => r8c3<>7
UNIQUENESS
Uniqueness Test 1
..6.4..23.7.56.9.....9..5.71......4...2...6...4......85.9..8.....3.29.8.82..7.1..
Uniqueness Test 1: 1/7 in r1c46,r6c46 => r6c4<>1, r6c4<>7 Apply additional XY-Chain to solve the puzzle
....7.......8...9...654183...79...28..54.27..21...73...731954...5...4.......6....
Uniqueness Test 1: 6/8 in r7c18,r8c18 => r8c8<>6, r8c8<>8 Apply additional XY-Chain to solve the puzzle
Uniqueness Test 2
.....8.31..3....4..17.3.5......2.47....865....52.1......8.4.75..7....6..39.5.....
Uniqueness Test 2: 6/8 in r3c89,r6c89 => r2c7,r3c46<>9
4...9..5..8.7....6..74..3......1.6..1..2.8..7..4.7......8..95..2....7.4..5..2...9
Uniqueness Test 2: 6/7 in r7c18,r9c18 => r24c1,r9c3<>3
....12.6......584.1.64...5........98.57...41.96........7...13.4.413......3.58....
Uniqueness Test 2: 6/9 in r2c45,r7c45 => r7c8,r8c5<>2
Uniqueness Test 3
..85.6.17.1....58.4........8...57..9..3.4.8..1..89...4........8.81....3.67.3.82..
Uniqueness Test 3: 4/9 in r2c46,r8c46 => r8c7<>7
....754.8..768.....83....5........19...369...93........6....27.....465..2.453....
Uniqueness Test 3: 4/5 in r2c12,r4c12 => r4c6<>8
7.5.32...........113..8........715.257.329.862.985........1..298...........46.8.3
Uniqueness Test 3: 3/4 in r4c13,r7c13 => r3c3<>2
Uniqueness Test 4
4.....63...7.....1.92.35..72...9.......7.3.......1...33..56.98.7.....5...85.....6
Uniqueness Test 4: 2/4 in r7c29,r8c29 => r78c2<>4
.....4..23.2.5......517.4.86..8.57.............74.9..57.9.412......2.1.91..9.....
Uniqueness Test 4: 3/6 in r8c36,r9c36 => r89c3<>3 Apply additional XY-Wing to solve the puzzle
............8..1744769.....1684.......5...8.......5716.....4952519..3............
Uniqueness Test 4: 3/9 in r2c12,r6c12 => r26c2<>3 Apply additional Skyscraper to solve the puzzle
Uniqueness Test 6
....92......7...6.7.9...2.165...8.23....7....38.2...954.1...5.6.9...7......68....
Uniqueness Test 6: 4/9 in r2c79,r9c79 => r2c7,r9c9<>9 Apply additional Skyscraper to solve the puzzle
...642.7.26............8.1653....68.....3.....91....2535.4............97.7.189...
Uniqueness Test 6: 1/8 in r1c12,r8c12 => r1c1,r8c2<>1 Apply additional Uniqueness test 1 to solve the puzzle
63.....7184.61.......8.3.........1.7.16.8.93.7.4.........2.7.......61.8919.....62
Uniqueness Test 6: 3/5 in r8c34,r9c34 => r8c3,r9c4<>3 Apply additional Uniqueness test 1 to solve the puzzle
Hidden Rectangle
965...13..789...........8....2.73.1...9.2.6...1.59.7....3...........537..27...594
Hidden Rectangle: 4/8 in r5c68,r6c68 => r5c8<>8 Apply additional 2-String Kite to solve the puzzle
.........6....81...9163..2......9.738.9...2.425.7......8..9136...75....1.........
Hidden Rectangle: 3/4 in r1c28,r2c28 => r2c8<>4 Apply additional Skyscraper to solve the puzzle
...1.5..4..3.967...9.....6..142....5.........2....147..6.....4...967.8..1..4.9...
Hidden Rectangle: 4/5 in r2c12,r8c12 => r8c2<>5 Apply additional Skyscraper to solve the puzzle
Avoidable Rectangle
..6........29....3....4.85.....94..195.6.2.844..75.....27.8....8....91........4..
Uniqueness Test 1: 3/9 in r6c78,r7c78 => r6c7<>3, r6c7<>9
Avoidable Rectangle Type 1: 2/9 in r1c79,r6c79 => r1c9<>2
6........3.....41212.5......3.98.7.1..16.32..4.8.71.3......6.93813.....6........7
Uniqueness Test 1: 1/8 in r7c47,r9c47 => r9c4<>1, r9c4<>8
Avoidable Rectangle Type 1: 3/1 in r1c45,r9c45 => r1c5<>3
BUG + 1
15.6..49..7.4.......397...8.158...................356.2...841.......1.8..91..7.45
Bivalue Universal Grave + 1 => r5c1<>3, r5c1<>6
..94....6..4...13......8.9.95...7.....2.4.3.....8...21.2.9......63...5..1....64..
Bivalue Universal Grave + 1 => r1c7<>2, r1c7<>8
.715236...........5.61.........8..69.64.5.32.78..3.........64.3...........784295.
Bivalue Universal Grave + 1 => r7c2<>2, r7c2<>5
Uniqueness All
.61......7....3.9.5...6...2....5428...........1432....6...8...7.2.4....5......34.
Hidden Rectangle: 5/7 in r5c23,r9c23 => r5c2<>7 Apply additional X-Chain to solve the puzzle
......3..132.74....45.....8.1.6..9.............4..1.3.8.....62....52.489..7......
Uniqueness Test 3: 2/5 in r4c16,r5c16 => r4c5<>8 Apply additional XY-Chain to solve the puzzle
..723....96....5.8.41...6..........6...182...8..........3...45.1.4....69....742..
Uniqueness Test 4: 3/5 in r4c46,r8c46 => r4c46<>5 Apply additional W-Wing and XY-Chain to solve the puzzle
.....9....5..6482.4.1.2.6....8..2..7...6.3...7..1..2....7.4.1.3.6483..5....9.....
Hidden Rectangle: 2/8 in r1c12,r9c12 => r9c1<>2 Apply additional XY-Chain to solve the puzzle
3....6.9...4....5.....7.6.2...39.1848...4...6492.68...7.5.3.....8....5...1.8....7
Hidden Rectangle: 1/8 in r1c59,r2c59 => r2c5<>1 Apply additional XY-Chain to solve the puzzle
..5.1...6169.3..4..4............841....349....261............5..3..9.1872...7.3..
Uniqueness Test 6: 2/5 in r2c46,r8c46 => r2c4,r8c6<>2 Apply additional Hidden Rectangle and XY-Chain to solve the puzzle
12...863753.71...............5.....1...573...4.....2...............91.622793...84
Uniqueness Test 4: 2/6 in r3c46,r4c46 => r34c6<>6 Apply additional XY-Chain to solve the puzzle
...15..........247..37.68...3...15..2..635..4..52...6...84.29..159..........93...
Uniqueness Test 3: 4/9 in r3c12,r6c12 => r4c13<>7 Apply additional Hidden Rectangle and XY-Chain to solve the puzzle
54.......39.5.24..........9.5.8...31...735...62...1.8.1..........69.8.14.......23
Uniqueness Test 1: 1/3 in r1c47,r3c47 => r1c4<>1, r1c4<>3 Apply additional XY-Chain to solve the puzzle
1..328..58......3..65........68.245...........276.41........31..1......46..137..2
Uniqueness Test 6: 1/9 in r2c69,r3c69 => r2c6,r3c9<>1 Apply additional XY-Chain to solve the puzzle
....3.....2.8..3.1..35...24351...7.9.........2.7...45817...38..4.9..1.3.....2....
Uniqueness Test 2: 6/9 in r7c48,r9c48 => r7c5,r8c45,r9c6<>6
WINGS
XY-Wing
12........4.82.3.......76..7..1...8.5.......2.1...4..6..87.......5.93.7........94
XY-Wing: 1/9/5 in r2c8,r34c9 => r12c9,r6c8<>5
.5..83714.....43..........6.1.2....8.968.724.2....9.7.4..........54.....93156..2.
XY-Wing: 1/8/7 in r2c15,r8c1 => r8c5<>7
.765......2.......9..7...616..82.3....4.5.8....2.36..516...4..8.......7......961.
XY-Wing: 3/8/4 in r1c18,r2c9 => r1c79,r2c1<>4
XYZ-Wing
...1.......2.83.1.1....54.39......4..238.976..7......28.13....6.5.72.1.......6...
XYZ-Wing: 3/5/8 in r4c79,r9c7 => r6c7<>8
.....5.....9.62.1.2.54.7..8.23......1..7.9..2......68.7..2.84.3.4.37.8.....9.....
XYZ-Wing: 5/6/9 in r57c2,r8c1 => r9c2<>5
4.....53.7....19...9...524...9362...............9178...635...1...71....9.54.....8
XYZ-Wing: 2/3/6 in r5c19,r6c3 => r5c3<>2
W-Wing
8.....3.4.74.....9....34.1..5.623...............491.7..9.56....1.....46.6.3.....5
W-Wing: 8/7 in r5c4,r8c5 connected by 7 in r1c45 => r5c5<>8
67.13......16......8...56.2.......51.59...32.71.......9.72...3......92......18.96
W-Wing: 2/4 in r1c6,r6c3 connected by 4 in r16c9 => r1c3<>2
.6.93..5..5.7...8...4...7....93....88.......55....26....2...8...1...3.2..7..21.6.
W-Wing: 9/1 in r2c7,r3c1 connected by 1 in r23c5 => r2c1,r3c89<>9
CHAINS
Remote Pair
8.43.........2.18..7651.........5.64.9.....2.16.2.........5627..27.3.........24.5
Remote Pair: 7/6 r1c7 -6- r2c9 -7- r2c4 -6- r5c4 => r5c7<>7
1469.5...2......8.....1.6.....35..97.........91..47.....2.9.....6......4...2.4875
Remote Pair: 7/5 r3c1 -5- r2c2 -7- r7c2 -5- r7c4 => r3c4<>7
.7..6.59..1............2136..2.16....8.....5....39.2..8956............7..67.5..4.
Remote Pair: 3/1 r1c6 -1- r9c6 -3- r9c1 -1- r8c3 => r1c3<>3
X-Chain
....6....7.23.9..686.2....1145..........9..........7132....6.476..8.21.9....1....
X-Chain: 4 r1c1 =4= r9c1 -4- r8c3 =4= r8c5 -4- r2c5 =4= r2c7 => r1c79<>4
XY-Chain
68..5......73.....91.6..42.24..........793..........89.52..1.36.....58......6..54
XY-Chain: 4 4- r2c5 -1- r4c5 -8- r4c6 -6- r6c6 -4 => r2c6<>4
...619...8.....92.....3.4...2.....96.6.3.7.4.45.....3...5.2.....34.....7...753...
XY-Chain: 2 2- r1c1 -3- r4c1 -7- r6c3 -9- r3c3 -7- r3c2 -9- r9c2 -8- r9c8 -1- r9c3 -2 => r1c3,r89c1<>2
.....2.3...6..914.8.1.7...535..........4.5..........132...1.6.4.475..8...1.8.....
XY-Chain: 8 8- r4c8 -6- r4c5 -9- r4c9 -7- r5c9 -9- r5c3 -8 => r4c3,r5c8<>8
AIC
9.41......7.6....4285........281.9.............6.458........4733....7.1......12.8
AIC: 5 5- r5c9 -6- r4c8 =6= r4c6 =3= r1c6 =8= r1c8 -8- r2c8 -9- r9c8 -5 => r45c8,r8c9<>5
Frank's solution:
R9C8-9-R2C8-8-R1C8-3-R1C6=3=R4C6=6=R4C8-6-R5C9 => R8C9 <> 5
356....2.......7....749..3...4..8..9...6.2...1..9..3...1..478....5.......7....496
AIC: 5 5- r2c9 -8- r2c8 =8= r6c8 -8- r6c3 -2- r6c9 =2= r4c7 =6= r3c7 -6- r3c6 -5 => r2c456,r3c79<>5
Frank's solution:
R3C6-6-R3C7=6=R4C7=2=R4C2=3=R5C3=8=R5C9-8-R2C9 => R2C456, R3C79 <> 5
.....6..23.42....1.....843......4179.........6571......328.....7....15.38..6.....
AIC: 4 4- r1c5 -3- r1c4 =3= r5c4 =7= r3c4 -7- r3c9 =7= r1c7 -7- r1c2 =7= r2c2 =6= r8c2 =4= r8c4 -4 => r1c4,r79c5<>4
...1.56.4....8......2..91.7.35.....84..258..66.....75.3.64..8......3....2.98.6...
AIC: 4 4- r3c2 =4= r3c5 =6= r3c4 -6- r4c4 -9- r4c1 -1- r2c1 =1= r2c3 =4= r8c3 -4 => r2c3,r89c2<>4
Frank's solution:
R3C2=4=R2C3=1=R2C1=9=R4C1-9-R4C4-6-R3C4-3-R2C6 =>R3C5 <> 4
.1......9....7.143...3...5....5.43...3298156...47.6....5...3...847.9....3......8.
AIC: 9 9- r4c8 -7- r1c8 =7= r1c7 =8= r1c6 -8- r2c6 =8= r2c2 -8- r6c2 -9 => r4c123,r6c78<>9
25...41........3.......1.427.....68..18.9.42..34.....747.5.......3........28...34
AIC: 1/8 1- r2c1 -8- r3c2 =8= r3c7 -8- r7c7 =8= r7c9 =1= r7c3 -1- r8c1 -8 => r8c1<>1, r2c1<>8
Frank's solution:
R7C7=8=R7C9=1=R7C3-1-R2C3=1=R2C1=8=R3C2 =>R3C7 <> 8
.8..1....231.....99...26.....5..72..49..5..18..28..5.....94...61.....972....7..5.
AIC: 3 3- r5c6 -2- r5c4 =2= r9c4 -2- r9c2 -6- r4c2 -1- r4c4 -4- r6c6 =4= r2c6 =5= r2c4 -5- r8c4 -6- r8c5 -3 => r46c5,r789c6<>3
ALMOST LOCKED SETS
ALS XZ-Rule
8...4..51.3..514.8154..86......841.7.41...89.6.81...4.4.751.28.2834...1..1.82...4
Almost Locked Set XZ-Rule: A=r5c145 {2367}, B=r123c4,r3c5 {23679}, X=2, Z=6 => r4c4<>6
ALS XZ-Rule double linked
..1.....7...89..........6..26..3.......5...749...........1.4.5.83.............2..
Almost Locked Set XZ-Rule: A=r3c3789 {13469}, B=r124c7 {1239}, X=1,3 => r12c8<>1, r3c2<>9
4..53..7..1...........6.4.21....28..83.175.2...968...17.8.5....3.1....8..9..18..3
Almost Locked Set XZ-Rule: A=r1c2379 {12689}, B=r23469c8 {134569}, X=1,9 => r2c9<>9, r7c8<>4, r7c8<>6
ALS XY-Wing
6...7..85......6...853..1...18.....6..9.2.7..4.....93...7..436...4......23..5...9
Hidden Rectangle: 7/9 in r2c18,r3c18 => r2c8<>7
Discontinuous Nice Loop: 4 r4c8 -4- r9c8 =4= r9c7 -4- r1c7 -2- r4c7 =2= r4c8 => r4c8<>4
Hidden Rectangle: 2/5 in r4c78,r8c78 => r8c7<>2
Almost Locked Set XY-Wing: A=r6c59 {168}, B=r3678c9 {12478}, C=r3c5 {46}, X,Y=4,6, Z=8 => r6c46<>8
Brute Force (= Solve)
Death blossom
8...34.6.4.61......7928.....82......9..751..8......59.....9213......79.2.9.41...6
XY-Wing: 2/7/8 in r19c7,r2c8 => r2c7,r89c8<>8
Hidden Rectangle: 5/8 in r7c34,r8c34 => r8c3<>5
Death Blossom: [r9c3], -3- r8c1 {13}, -5- r1c3 {15}, -7- r389c8 {1457} => r3c1<>1
Skyscraper: 5 in r2c6,r8c4 (connected by r28c2) => r1c4,r9c6<>5
...7915........9.45.1......1....64...3..8..2...92....6......6.72.5........6943...
Hidden Rectangle: 4/8 in r7c28,r8c28 => r8c2<>8
Death Blossom: [r6c1], -4- r5c379 {1457}, -7- r9c18 {578}, -8- r4c2345 {23578} => r4c8<>5
Brute Force (= Solve)
3..9..4..8...1......6..8..959.4.......2...3.......9.749..8..1......7...5..8..2..7
Swordfish: 7 r147 c236 => r2c26,r35c2,r5c6<>7
Death Blossom: [r5c4], -1- r7c56,r89c4 {13456}, -5- r9c4 {35}, -6- r4c5 {36}, -7- r4c5689 {12367} => r6c4<>3
Brute Force (= Solve)
1..5...6.....8.1.2.....14.......8..97.46.58.16..7.......98.....4.2.3.....3...4..6
2-String Kite: 2 in r3c1,r5c5 (connected by r4c1,r5c2) => r3c5<>2
Death Blossom: [r1c5], -2- r456c5,r6c6 {12349}, -4- r2389c4 {12349}, -7- r1c379 {3789}, -9- r1c379 {3789} => r1c6<>3
Brute Force (= Solve)
LOOPS
Continuous nice loop
.27...8.....5....44859...1....4...9...32.54...6...8....9...26477....9.....1...93.
Continuous Nice Loop: 6/7/8 8= r5c8 =6= r2c8 -6- r2c1 =6= r1c1 -6- r1c4 =6= r9c4 =8= r9c9 -8- r8c8 =8= r5c8 =6 => r1c56,r2c6<>6, r5c8,r9c4<>7, r8c9<>8
Frank's solution:
R6C4=7=R9C4=8=R9C9-8-R8C8-2-R6C8-7-R6C4
.38.......157.4.3...6..5..7.435....2.........8....137.3..1..7...5.8.926.......84.
Continuous Nice Loop: 1/2/3/6/9 6= r5c4 =2= r5c5 =3= r3c5 =8= r3c8 =2= r1c8 -2- r1c6 -6- r1c4 =6= r5c4 =2 => r3c58<>1, r13c5<>2, r5c4<>3, r15c5<>6, r3c58,r5c45<>9
.4....3..86.5..41...7....569...41......9.5......67...842....6...56..4.83..3....4.
Continuous Nice Loop: 1/2/9 5= r1c3 =1= r5c3 -1- r5c7 =1= r6c7 =5= r6c1 -5- r1c1 =5= r1c3 =1 => r5c2<>1, r1c3,r6c7<>2, r1c3,r6c7<>9
Frank's solution (0:12:00) :
R6C1=5=R6C7=1=R5C7-1-R6C3=1=R1C3=5=R1C1-5-R6C1
Discontinuous nice loop
.9.51.3...7.6..1.....3....7..725....61.....78....769..7....3.....9..2.6...2.45.1.
Discontinuous Nice Loop: 4/6/8 r3c3 =1= r3c1 -1- r8c1 =1= r8c4 =7= r8c7 -7- r9c7 -8- r9c1 =8= r7c3 =1= r3c3 => r3c3<>4, r3c3<>6, r3c3<>8
Frank's solution (0:30:00):
R7C3-8-R9C1=8=R9C7=7=R8C7-7-R8C4-1-R7C4=1=R7C3 => R7C3 <> 8
9....1....6...381...1.2..9...374.......169.......851...2..3.6...962...8....5....7
Discontinuous Nice Loop: 5/6/8 r4c9 =9= r4c7 -9- r9c7 =9= r9c5 =1= r8c5 -1- r8c9 =1= r7c9 =9= r4c9 => r4c9<>5, r4c9<>6, r4c9<>8
Frank's solution:
R7C4=9=R9C5=1=R8C5-1-R8C9=1=R7C9=9=R7C4 => R7C4 = 9
.1..59..353......8..96......5..14.....8...4.....28..7......28..7......351..36..2.
Discontinuous Nice Loop: 1/4/7/9 r7c4 =5= r7c3 =3= r4c3 -3- r4c7 =3= r6c7 =5= r6c6 -5- r9c6 =5= r7c4 => r7c4<>1, r7c4<>4, r7c4<>7, r7c4<>9
.1..4..8.7692.....8..5.9...45.........1.8.4.........13...6.3..8.....7965.2..5..3.
Discontinuous Nice Loop: 2/6/7/8 r6c7 =5= r6c6 =4= r9c6 -4- r9c9 =4= r2c9 -4- r2c8 -5- r2c7 =5= r6c7 => r6c7<>2, r6c7<>6, r6c7<>7, r6c7<>8
Frank's solution:
R4C6=1=R4C4-1-R8C4-4-R9C6=4=R9C9-4-R2C9=4=R2C8=5=R5C8-5-R5C6-2-R4C6 =>R4C6 <> 2
8.2..........64...4152.....3.9....2....895....5....7.9.....8271...61..........4.5
Discontinuous Nice Loop: 1/7 r4c6 =6= r4c9 =8= r4c2 -8- r9c2 =8= r9c3 =1= r9c1 -1- r6c1 -6- r6c6 =6= r4c6 => r4c6<>1, r4c6<>7
Frank's solution:
R4C6=6=R6C6-6-R6C1-1-R9C1=1=R9C3=8=R6C3-8-R6C8=8=R4C9=6=R4C6 =>R4C6 = 6
1.........4..12875.829.......7......6.38.51.7......6.......679.72459..8.........4
Discontinuous Nice Loop: 3/6/7 r3c5 =5= r3c1 -5- r7c1 =5= r7c3 =1= r7c9 -1- r3c9 =1= r3c8 =6= r1c8 -6- r1c3 -5- r1c5 =5= r3c5 => r3c5<>3, r3c5<>6, r3c5<>7
5...864.92....3.1.4.........653.....1...2...5.....589.........4.2.7....33.456...8
Discontinuous Nice Loop: 9 r2c3 -9- r5c3 =9= r4c1 -9- r7c1 -6- r7c8 =6= r5c8 =3= r5c7 -3- r3c7 =3= r3c3 =6= r2c3 => r2c3<>9
1.........7..5.6.......9271.641.....2.......5.....894.7925.......8.3..6.........2
Discontinuous Nice Loop: 1/3/5 r6c3 =7= r6c4 -7- r4c5 -9- r4c1 =9= r5c3 =7= r6c3 => r6c3<>1, r6c3<>3, r6c3<>5
Grouped continuous nice loop
Grouped continuous nice loop with ALS
..1.....7...89..........6..26..3.......5..9749.....3.....1.4.5383.............2..
Grouped Continuous Nice Loop: 4/5/6/7/8 6= r7c5 =2= r7c23 -2- ALS:r4689c3 -6- r7c13 =6= r7c5 =2 => r23c3<>4, r23c3<>5, r9c1<>6, r237c3,r7c5<>7, r7c5<>8
MISCELLANEOUS
Sue de Coq
215.8679.64..725..37..512...845.9....637.89...921.38..927834..5456217389831695427
Sue de Coq: r23c8 - {1346} (r7c8 - {16}, r1c9 - {34}) => r2c9<>3, r3c9<>4, r5c8<>1
Sue de Coq: r12c9 - {1348} (r36c9 - {468}, r2c8 - {13}) => r4c9<>6, r5c9<>4
519.386.7.276....96.49.....162745983..5.6.7....3829516..6...37...1..629.2.859..6.
Sue de Coq: r78c4 - {1234} (r1c4 - {24}, r78c5,r9c6 - {1378}) => r7c6<>1
4..2..1..2.7....4.....473.28236719541458....37694532183.2964.........4....4..8...
Sue de Coq: r3c123 - {15689} (r3c4 - {15}, r1c3 - {68}) => r12c2<>8, r12c2,r3c8<>9
..72163452.6.4.79.5.4..7.6.....8.6.7...672...769.5..8.6..1..473.4.7..8.6.73.64.2.
Sue de Coq: r23c4 - {3589} (r9c4 - {58}, r3c5 - {39}) => r2c6<>3
.....53..4.9.2.5...529..478..7289145215.7.98.948.512.7524..78......92654.9.5..7..
Sue de Coq: r89c1 - {1678} (r34c1 - {136}, r8c2 - {78}) => r1c1<>1
.42.53.......1.26.3..6......1...27...7.....5...91...2......9..7.68.3.......76.53.
Sue de Coq: r5c456 - {34689} (r5c3 - {36}, r4c5 - {489}) => r4c4,r6c6<>4, r4c4,r6c6<>8, r5c7<>3, r5c9<>6
COMBINED TECHNIQUES
Refer to LEGENDA for the meaning of the numbers below each Sudoku string
Note that the order of the solution techniques is arbitrary
2 stars is relative easy, 5 stars is very difficult (and time consuming!)
**
18.4.............6.72.96.5...38...49.4.2.3.7.71...93...2.58.96.8.............1.87
1 (2x), 43
95.7.....1..54.9...2....5....7.84....4.....5....16.7....3....6...5.31..2.....2.45
1, 11, 41
5.1....7...29.......9..83.212...3.8...........6.8...342.54..8.......29...4....5.3
11 (2x), 51
576.......3196.2.....1.7..........62.57.3.89.64..........7.6.....3.4957.......946
1, 11, 43
....89.....83.1.79.3.4..8...245.......9...6.......841...2..3.4.36.1.29.....89....
11, 12, 14
...8.219....4..2.7....9..8628...9.....3...7.....3...6164..8....8.5..7....926.1...
11, 12, 14
.......282.5.4..6..3..52........64...6193875...35........21..3..1..8.2.687.......
12 (2x), 41, 43
...8..1.......524.9561....734.6.........1.........3.621....4378.823.......3..6...
1, 11, 12
.....821....7..3.8..3.2..7.2..6..9....1...7....9..4..3.3..4.6..9.8..1....523.....
12, 14, 43
........6.8..9..2.2.75...9...5.193..9.1...8.2..637.9...9...52.3.6..8..5.5........
12, 14
..845..6.7...26.....4.1...25......2...63729...1......74...9.2.....53...6.3..814..
11, 12, 14, 27, 43
.47...1..2.81.493...............76.2.32.9.47.7.52...............749.65.3..3...24.
11, 12, 14, 51 (2x)
***
85.294.6.2.1.8..5..963152.8.2.8..5..1..5....4..5..9.2.51.4.368.......3.5.6.958..2
11, 12, 41 (2x), 42, 43 (2x)
..34.59...452....6.8..3...435.8.........6.........1.574...9..8.8....471...17.86..
11, 12, 26
.47.1.6..6.89.............82..46..1...1.9.8...7..21..51.............25.7..3.5.28.
11, 12
.....82..2..9.....9..32.4.1.12.3.6..3..2.5..8..5.4.72.5.1.83..2.....2..4..87.....
11, 12, 41
5...6.....23.9.18..98..7........34.5.4.....2.9.26........5..96..79.4.51.....1...2
11, 12, 13 (2x)
.915..6.....6....5.....3.8..5.....9.3..4.2..1.6.....2..8.9.....5....1.....7..683.
11, 12, 14, 43
7..3.469...395...4..98.23.7.3.2.....9.......3.....3.6.3.41.59..2...398...974....5
11, 12 (2x), 14 (2x)
....8....9.27...4..6......2.2957.6....7.6.3....8.4972.5......6..1...85.9....5....
1, 11, 12, 14
..956.72......4...76........2394..1..9.....6..7..1529........42...3......85.276..
11, 12 (3x), 14
6..5.4....2......145...19.6..49.36...6.....1...21.64..9.64...353......9....8.9..4
11, 12, 13, 14
..57....2.69.5.8........1....4.61...1.7...2.6...82.4....3........8.1.59.4....86..
11, 12, 14
....43.9....6.2..56.8......2.9....6....8.6....7....4.8......1.24..2.9....3.76....
12, 13, 14, 42
.......7.397..........76.31..27...6381..3..4767...51..53.41..........854.6.......
11, 12, 13 (2x), 14, 29
8....9....95.....3..3.2.9.8139..6..2....3....6..8..3415.7.8.4..3.....21....6....5
2 (2x), 11, 12 (3x), 23, 27 (2x), 43 (4x)
4.3..79.17...4.....2.91......8....6...25381...5....8......81.7.....6...25.43..6.8
1 (2x), 12 (2x), 41 (2x), 43 (2x)
9.....2...6.8...4983....6......67....7.529.8....48......9....5758...3.2...3.....1
12 (2x), 23, 41, 42 (2x), 43 (2x)
.9....325..86..........2.8.95..2.....12.8.56.....5..42.8.1..........46..671....9.
1, 21, 22, 41, 42, 43 (2x)
****
5..2.........37...76..45.32..6....2..953.164..4....1..21.47..68...81.........2..4
1, 12, 27, 41 (2x), 43, 53
*****
.8...531.1.53...7......7.8....69.....49...63.....43....9.4......5...91.7.175...2.
21, 43, 53 (2x), 91
.6.....2......7..42.....65.7.614.2.............4.539.7.83.....61..8......5.....3.
1, 11, 27, 41, 71
....1..2....24.1.8.7.5.......9....423...7...121....5.......6.8.9.4.38....3..2....
4, 43, 53, 54
.....8..7....7...1...5.983.3...4..68.65...74.47..8...2.849.1...9...5....7..4.....
11, 12, 13, 27, 43 (2x), 54
15.98..6.9.7.......684.....6......295...6...482....6.5..6..5.1...5...3.7.8..93.56
4, 5, 11, 12 (2x), 41 (2x), 42, 43, 53, 71, 91
8...5......96..8..361....9.5..837.......1.......965..3.7....345..4..36......7...1
1, 4, 6, 21, 53 (2x), 54, 71, 91
7..359.16.....72..19.....7.......96....761....31.......7.....54..92.....85.174..2
27 (2x), 72
67......8....2.....52.761..4...8..9...82914...1..5...6..394.61.....6....5......72
1, 12, 43, 53, 54
7.1..........725.9.6.8.....4.....27....4.5....36.....1.....1.8.6.752..........4.7
43, 71
9..3...752.691.........7.....1.....2.9.....3.3.....6.....8.........615.774...3..1
11, 27, 43, 71
.6.4.278..8..764.....1....68..........5.3.1..........21....5.....924..1..729.3.5.
27, 41, 43, 71
......3.......2.1.....942763..28.64...........69.13..784536.....9.8.......7......
12, 43, 71
38......1..217.........5..2.7.5..349..53.96..963..4.2.4..9.........271..7......93
41, 54
....41.6.1...7..42...2..713.25......3...1...7......65.513..6...24..3...6.8.42....
12, 43 (2x), 71
..5.........7..58.68....1.92.49.7......3.2......8.47.11.8....56.96..8.........2..
12, 43 (3x), 72
7............2.8.....4.513.2...384.51.......38.527...9.163.2.....2.5............1
12, 43, 71
15.2..7.6.....32..........97.5.8.3....13.59....6.7.1.85..........37.....4.7..1.25
11, 41, 71
.....5.96.91...54.7..9..8...1.78...3.........4...36.1...6..7..4.89...27.27.8.....
5, 71
..6....2..9..4.65....71....4.8..71.............51..4.6....28....17.5..9..5....2..
54, 71
1.23.9.4.9..7..........21...784........936........123...45..........7..9.5.2.38.4
12, 41, 71
..7......32.1...6.9..3.4......942.17....5....29.763......4.7..3.1...9.24......7..
43, 71
..2....56...85.....3...98...6.971.84.........89.625.1...75...9.....32...65....7..
27, 53, 71
1..7.........54.1734.9.......5....417...6...323....9.......7.9858.12.........3..5
27, 71
7......81...173....9...847......92..83.....97..94......826...5....325...35......4
41 (2x), 53, 71
3......7.9..4..5311..5.6.8.48...9...............2...49.7.6.1..3639..4..7.1......5
24, 43, 71
...95.2..1...2..6...2..748.86........19...82........36.274..6...3..8...4..1.75...
11, 27, 71
...56...7.62.749.........1..48......7.......8......56..3.........128.63.8...91...
11, 71
....2....4....759..7...63..15....2.....174.....8....61..35...8..628....4....6....
41, 53, 71
..8.5..6.2......39..132.....43.15...............48.15.....489..78......4.3..6.5..
53, 71
9..8.2....7......8..17.6.....9...27.6..923..1.82...9.....4.16..7......3....5.8..2
51, 71
.7.5...2.......61......6..79....726.86.1.9.74.526....85..9......29.......1...4.5.
43, 71
63.51......1..2...97........2.8.75.1.6.....9.3.51.4.2........58...2..9......51.62
12, 71
.8.49.52..5...89.6........8..1.59...............38.7..8........5.27...8..39.26.4.
27, 71
........6..5....78..78362.....3..1...1..6..4...9..1.....67435..87....6..2........
11, 42, 71
.841...7.5.7.64...3...........24..9.25.3.7.64.7..89...........2...53.7.6.3...295.
12, 41, 71
1.3...........71...8..9.5.22..6.5...41..7..59...9.4..88.2.3..7...15...........9.5
42, 71
74.2.....52..31.......45.1.2..1..5...7.....9...4..3..2.9.48.......35..24.....2.73
27, 72 (7x), 64, 11 (2x)
....7.........82.74....1.962...958.............678...292.6....46.54.........2....
21, 72. 64, 72 (2x), 13, 5, 41
75......2...48.........54..4.5..687...9.7.6...762..5.1..81.........93...1......46
42, 72 (4x), 63, 64, 51
LEGENDA
Basic Fish **
01. X-Wing
02. Swordfish
03. Jellyfish
Finned/Sashimi Fish ***
04. Finned/Sashimi X-Wing
05. Finned/Sashimi Swordfish
06. Finned/Sashimi Jellyfish
Single Digit Patterns **
11. Skyscraper
12. 2-String Kite
13. Turbot Fish
14. Empty Rectangle
Uniqueness **
21. Unique Rectangle Type 1
22. Unique Rectangle Type 2
23. Unique Rectangle Type 3
24. Unique Rectangle Type 4
25. Unique Rectangle Type 5
26. Unique Rectangle Type 6
27. Hidden Rectangle
28. Avoidable Rectangle
29. BUG+1 - Binary Universal Grave + 1
30. Unique Rectangles with missing candidates
Wings ***
41. XY-Wing
42. XYZ-Wing
43. W-Wing
Chains
51. Remote Pair **
52. X-Chain ***
53. XY-Chain ****
54. AIC *****
ALS - Almost Locked Sets
61. ALS-XZ ****
62. ALS-XY-Wing *****
63. ALS Chain *****
64. Death Blossom *****
Loops *****
71. (Grouped) Continuous Nice Loop
72. (Grouped) Discontinuous Nice Loop
73. Grouped Continuous Nice Loop with ALS
74. Grouped Discontinuous Nice Loop with ALS
Coloring ***
81. Simple Colors (Color Wrap/Color Trap)
82. Multi Colors
Miscellaneous
91. Sue de Coq ****
Notes:
weak link x -1- y means if cell x is a 1, cell y can not contain a 1
strong link x =1= y means if cell x is not a 1, cell y must be 1
Source code: