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solution: '416975238985321764273648159769432581531896472824157396658714923347269815192583647',\n  difficulty: 'easy',\n};\n```\n\n`puzzle` and `solution` are both 81 character strings representing the 81 cells in a sudoku grid:\n\n![Numbered grid](docs/numbered-grid.png)\n\n`puzzle` contains placeholder dashes (`-`) for spaces which need to be filled in by the player. `solution` contains the entire grid so you can check the player's progress. The example code above would map to the following puzzle/solution:\n\n![Example puzzle and solution](docs/puzzle-solution.png)\n\n## How it works\n\nMost sudoku generators start with a completed sudoku grid and remove numbers one at a time, using a backtracking algorithm to stop once the puzzle becomes unsolvable. This process is too slow to be performed in real-time, so usually requires a background task and database for generating and storing puzzles as they're created.\n\nSudokuGen works differently. It starts with a known, solvable \"seed\" puzzle and performs various transformations to turn it into a brand new puzzle. This makes it extremely fast, with no requirement for a back end, whilst maintaining quality.\n\nEach seed gives over 2.4 trillion unique puzzles. To put that in context, if you played sudoku 24/7 and took 3 minutes to solve each puzzle, it would take until your 13,915,534th birthday to exhaust a single seed :birthday:\n\n### Transformations\n\nThe following transformations are used (\"!\" = [factorial](https://en.wikipedia.org/wiki/Factorial)):\n\n* **Rotate board** - 4 permutations (0°, 90°, 180°, 270°).\n* **Shuffle column groups (\"stacks\")** - 6 permutations (3!).\n* **Shuffle row groups (\"bands\")** - 6 permutations (3!).\n* **Shuffle columns** - 216 permutations (3! x 3! x 3!).\n* **Shuffle rows** - 216 permutations (3! x 3! x 3!).\n* **Swap numbers** - 362,880 permutations (9!).\n\n**Total permutations per seed** = 4 x 6 x 6 x 216 x 216 x 362,880 = 2,437,996,216,320.\n","readmeFilename":"README.md"}