Easter Monster Sudoku — Play It Online, With the Full Solution
Updated
Easter Monster is a 21-clue sudoku from the solving community’s lists of the hardest known puzzles, famous less for a number than for a result: Bob Hanson and Dave Marans published a complete logical solution for it in 2008. Play the grid below, print it, or compare their human solution with the engine’s walkthrough further down.
| c1 | c2 | c3 | c4 | c5 | c6 | c7 | c8 | c9 | |
|---|---|---|---|---|---|---|---|---|---|
| r1 | 1 | 2 | |||||||
| r2 | 9 | 4 | 5 | ||||||
| r3 | 6 | 7 | |||||||
| r4 | 5 | 9 | 3 | ||||||
| r5 | 7 | ||||||||
| r6 | 8 | 5 | 4 | ||||||
| r7 | 7 | 6 | |||||||
| r8 | 3 | 9 | 8 | ||||||
| r9 | 2 | 1 |
- Clues
- 21
- Published SE rating
- none we can attribute
- Suuudokuuu rater
- 8.5+, past every implemented technique
Play Easter Monster in the appPrint Easter Monster — PDF with the solution
Where Easter Monster comes from
Its givens form an almost symmetrical pattern, and that symmetry is what made a human-sized proof possible at all. SudokuOne calls it perhaps the most difficult sudoku ever solved without a computer solver. It is not part of the Suuudokuuu Infinity corpus.
Sources: Hanson and Marans, “Easter Monster” and SudokuOne, “A General Sudoku Logic”. The other record grids are on the hardest sudoku puzzles page.
The Easter Monster solution, step by step
Suuudokuuu’s source-available engine solves Easter Monster in 116 steps, reaching for the cheapest technique that still makes progress, exactly as it does when it rates a puzzle. 19 of those steps are forcing chains: the engine assumes a candidate, follows its consequences until something breaks, and removes the assumption. At 2 points even that runs dry — no technique the engine implements moves the grid — and the walkthrough says so, fills the cell with the fewest candidates from the verified solution, and carries on with logic from there. Every other step is a named deduction you can check by hand.
Along the way the walkthrough uses Full House, Naked Single, Hidden Single, Pointing Pair, Box Line Reduction, Naked Pair, Naked Triple, Hidden Pair, X-Wing, Finned X-Wing, Sashimi X-Wing, XY-Chain, Simple Coloring, AIC and Nishio Forcing Chain.
Show all 116 steps
- No implemented technique proves the next digit here, so r1c2 = 7 is filled in from the verified solution. Filled from the solution
- The Hidden Single places 7 in r2c6. Hidden Single
- The Nishio Forcing Chain removes 2 from r3c1. Nishio Forcing Chain
- The Nishio Forcing Chain removes 6 from r6c9. Nishio Forcing Chain
- The Nishio Forcing Chain removes 2 from r4c1. Nishio Forcing Chain
- The Nishio Forcing Chain removes 1 from r5c7. Nishio Forcing Chain
- The Nishio Forcing Chain removes 6 from r5c9. Nishio Forcing Chain
- The Nishio Forcing Chain removes 1 from r6c7. Nishio Forcing Chain
- The Nishio Forcing Chain removes 2 from r5c7. Nishio Forcing Chain
- The Nishio Forcing Chain removes 3 from r2c7. Nishio Forcing Chain
- No implemented technique proves the next digit here, so r2c7 = 1 is filled in from the verified solution. Filled from the solution
- The Nishio Forcing Chain removes 6 from r4c1. Nishio Forcing Chain
- The Nishio Forcing Chain removes 6 from r8c5. Nishio Forcing Chain
- The Nishio Forcing Chain removes 1 from r5c2. Nishio Forcing Chain
- The Nishio Forcing Chain removes 1 from r7c5. Nishio Forcing Chain
- The Nishio Forcing Chain removes 3 from r1c8. Nishio Forcing Chain
- The Nishio Forcing Chain removes 2 from r2c5. Nishio Forcing Chain
- The Hidden Single places 2 in r2c1. Hidden Single
- The Nishio Forcing Chain removes 1 from r6c2. Nishio Forcing Chain
- The Hidden Single places 1 in r7c2. Hidden Single
- The ALS-XZ removes 4 from r8c1. ALS-XZ
- The Empty Rectangle removes 4 from r9c7. Empty Rectangle
- The ALS-XZ removes 1 from r4c5. ALS-XZ
- The ALS-XZ removes 6 from r5c1. ALS-XZ
- The ALS-XZ removes 7 from r4c9. ALS-XZ
- The Hidden Pair removes 4, 8, 2, 6 from r4c3, r4c3, r4c8, r4c8. Hidden Pair
- The X-Wing removes 6 from r1c5, r9c5. X-Wing
- The Finned X-Wing removes 2 from r7c5. Finned X-Wing
- The ALS-XZ removes 6 from r1c4, r1c6, r2c9. ALS-XZ
- The Hidden Single places 6 in r1c8. Hidden Single
- The Hidden Single places 6 in r2c5. Hidden Single
- The Hidden Single places 6 in r4c9. Hidden Single
- The AIC removes 8 from r1c7. AIC
- The Pointing Pair removes 8 from r5c9. Pointing Pair
- The Nishio Forcing Chain removes 4 from r5c3. Nishio Forcing Chain
- The ALS-XZ removes 4 from r9c1. ALS-XZ
- The Nishio Forcing Chain removes 3 from r5c8. Nishio Forcing Chain
- The Nishio Forcing Chain removes 4 from r5c2. Nishio Forcing Chain
- The Pointing Pair removes 4 from r3c1. Pointing Pair
- The Nishio Forcing Chain removes 9 from r5c8. Nishio Forcing Chain
- The ALS-XZ removes 8 from r4c1. ALS-XZ
- The Hidden Single places 8 in r4c7. Hidden Single
- The Hidden Single places 2 in r4c5. Hidden Single
- The Hidden Single places 4 in r5c6. Hidden Single
- The Naked Single places 4 in r4c1. Naked Single
- The Finned X-Wing removes 6 from r9c2. Finned X-Wing
- The Pointing Pair removes 6 from r6c1. Pointing Pair
- The Naked Pair removes 8 from r5c2. Naked Pair
- The Naked Triple removes 1 from r5c3. Naked Triple
- The Hidden Pair removes 3, 9 from r6c3, r6c3. Hidden Pair
- The Simple Coloring removes 4 from r8c5. Simple Coloring
- The Naked Single places 1 in r8c5. Naked Single
- The Hidden Pair removes 3, 5, 8 from r3c4, r3c4, r3c6, r3c6. Hidden Pair
- The Hidden Single places 5 in r3c1. Hidden Single
- The Naked Single places 6 in r8c1. Naked Single
- The Pointing Pair removes 3 from r5c3. Pointing Pair
- The ALS-XZ removes 5 from r8c7. ALS-XZ
- The AIC removes 3 from r6c7. AIC
- The ALS-XZ removes 9 from r9c7. ALS-XZ
- The AIC removes 2 from r7c4. AIC
- The Naked Pair removes 5, 3 from r8c4, r9c4, r9c4. Naked Pair
- The AIC removes 9 from r5c9. AIC
- The AIC removes 8 from r9c6. AIC
- The ALS-XZ removes 3 from r7c8. ALS-XZ
- The AIC removes 3 from r1c3. AIC
- The Hidden Single places 3 in r2c3. Hidden Single
- The Full House places 8 in r2c9. Full House
- The XY-Chain removes 5 from r7c3. XY-Chain
- The Hidden Single places 5 in r8c3. Hidden Single
- The Box Line Reduction removes 4 from r7c9. Box Line Reduction
- The ALS-XZ removes 3 from r3c9. ALS-XZ
- The XY-Chain removes 4 from r1c7. XY-Chain
- The Hidden Single places 4 in r1c3. Hidden Single
- The Full House places 8 in r3c2. Full House
- The Hidden Single places 4 in r3c9. Hidden Single
- The Hidden Single places 4 in r7c5. Hidden Single
- The Hidden Single places 4 in r8c7. Hidden Single
- The Hidden Single places 2 in r6c7. Hidden Single
- The Hidden Single places 2 in r5c2. Hidden Single
- The Hidden Single places 6 in r5c4. Hidden Single
- The Full House places 1 in r6c6. Full House
- The Hidden Single places 1 in r3c4. Hidden Single
- The Hidden Single places 1 in r4c3. Hidden Single
- The Full House places 7 in r4c8. Full House
- The Hidden Single places 2 in r8c4. Hidden Single
- The Full House places 7 in r8c9. Full House
- The Hidden Single places 6 in r9c6. Hidden Single
- The Hidden Single places 2 in r7c8. Hidden Single
- The Hidden Single places 5 in r9c7. Hidden Single
- The Hidden Single places 5 in r5c9. Hidden Single
- The Naked Single places 2 in r3c6. Naked Single
- The Naked Single places 1 in r5c8. Naked Single
- The Naked Single places 6 in r6c2. Naked Single
- The Full House places 4 in r9c2. Full House
- The Naked Single places 7 in r6c3. Naked Single
- The Naked Single places 7 in r9c4. Naked Single
- The X-Wing removes 3 from r1c5. X-Wing
- The Sashimi X-Wing removes 9 from r9c1. Sashimi X-Wing
- The Hidden Single places 9 in r9c8. Hidden Single
- The Full House places 3 in r3c8. Full House
- The Full House places 9 in r3c5. Full House
- The Full House places 9 in r1c7. Full House
- The Full House places 3 in r5c7. Full House
- The Full House places 9 in r6c9. Full House
- The Full House places 3 in r6c1. Full House
- The Full House places 3 in r7c9. Full House
- The Hidden Single places 3 in r1c4. Hidden Single
- The Full House places 5 in r7c4. Full House
- The Hidden Single places 5 in r1c6. Hidden Single
- The Full House places 8 in r1c5. Full House
- The Full House places 3 in r9c5. Full House
- The Full House places 8 in r7c6. Full House
- The Full House places 9 in r7c3. Full House
- The Full House places 8 in r5c3. Full House
- The Full House places 9 in r5c1. Full House
- The Full House places 8 in r9c1. Full House
The engine’s route is not Hanson and Marans’ route. Theirs is one long, hand-built argument that exploits the symmetry; the engine has no notion of symmetry and grinds forward one cheapest step at a time. Replay any of its steps in the step-by-step solver to see it on a live board.
Easter Monster sudoku FAQ
Has Easter Monster been solved without a computer?
Yes. Bob Hanson and Dave Marans published a complete logical solution in 2008, and it is the best-known human solution of any record puzzle.
What is the SE rating of Easter Monster?
Suuudokuuu’s own rater reports it at its ceiling, which means harder than every technique the engine implements. This page does not quote an outside figure.