# py-sudoku
A simple Python program that generates and solves m x n Sudoku puzzles.
## Install
```sh
# Python 2
pip install py-sudoku
# Python 3
pip3 install py-sudoku
```
## Usage
### Basic usage
```py
from sudoku import Sudoku
# Initializes a Sudoku puzzle with 3 x 3 sub-grid and
# generates a puzzle with half of the cells empty
puzzle = Sudoku(3).difficulty(0.5)
puzzle.show()
# +-------+-------+-------+
# | 4 1 | 3 | 7 6 |
# | 9 3 | 7 | 4 1 |
# | 2 | 1 4 | 8 3 |
# +-------+-------+-------+
# | 9 5 8 | | 7 |
# | 3 4 | 7 | 1 |
# | 7 2 | 8 9 3 | 5 4 |
# +-------+-------+-------+
# | 8 | 2 | 3 7 4 |
# | 4 | | 1 9 5 |
# | | 5 | 6 |
# +-------+-------+-------+
solution = puzzle.solve()
solution.show()
# +-------+-------+-------+
# | 4 1 5 | 3 8 9 | 7 6 2 |
# | 8 9 3 | 6 7 2 | 4 5 1 |
# | 2 6 7 | 1 4 5 | 9 8 3 |
# +-------+-------+-------+
# | 9 5 8 | 4 1 6 | 2 3 7 |
# | 3 4 6 | 5 2 7 | 8 1 9 |
# | 1 7 2 | 8 9 3 | 5 4 6 |
# +-------+-------+-------+
# | 5 8 9 | 2 6 1 | 3 7 4 |
# | 6 2 4 | 7 3 8 | 1 9 5 |
# | 7 3 1 | 9 5 4 | 6 2 8 |
# +-------+-------+-------+
solution.board
# [[4, 1, 5, 3, 8, 9, 7, 6, 2],
# [8, 9, 3, 6, 7, 2, 4, 5, 1],
# [2, 6, 7, 1, 4, 5, 9, 8, 3],
# [9, 5, 8, 4, 1, 6, 2, 3, 7],
# [3, 4, 6, 5, 2, 7, 8, 1, 9],
# [1, 7, 2, 8, 9, 3, 5, 4, 6],
# [5, 8, 9, 2, 6, 1, 3, 7, 4],
# [6, 2, 4, 7, 3, 8, 1, 9, 5],
# [7, 3, 1, 9, 5, 4, 6, 2, 8]]
solution.width
# 3
solution.height
# 3
```
### Creating puzzles
m x n rectangular puzzles can be initialized using the `Sudoku(width)` or `Sudoku(width, height)` constructors.
```py
# Initializes a 3 x 5 puzzle
puzzle = Sudoku(3, 5)
# Initializes a 4 x 4 puzzle
puzzle = Sudoku(4)
puzzle = Sudoku(4, 4)
```
Use ```solve()``` to get a solved puzzle, or ```difficulty(x)``` to create a problem.
```py
# Create a 3 x 5 sub-grid problem with 0.4 difficulty (40% of cells empty)
puzzle = Sudoku(3, 5).difficulty(0.4)
# Create a solved 4 x 4 problem
puzzle = Sudoku(4).solve()
```
### Displaying puzzles
```py
solution = Sudoku(5, 3).solve()
# Shows the puzzle only
solution.show()
# +----------------+----------------+----------------+
# | 09 10 11 04 06 | 05 01 03 12 13 | 08 14 15 02 07 |
# | 03 05 07 08 01 | 02 14 15 09 04 | 06 10 11 12 13 |
# | 12 02 13 14 15 | 07 10 06 11 08 | 01 03 04 05 09 |
# +----------------+----------------+----------------+
# | 13 14 06 11 08 | 15 07 09 02 12 | 10 01 05 03 04 |
# | 10 03 15 05 02 | 13 04 08 14 01 | 12 09 07 11 06 |
# | 01 07 04 09 12 | 03 05 10 06 11 | 13 02 08 15 14 |
# +----------------+----------------+----------------+
# | 07 13 08 15 05 | 12 11 04 10 03 | 14 06 09 01 02 |
# | 06 01 12 03 09 | 08 02 07 15 14 | 11 13 10 04 05 |
# | 04 11 10 02 14 | 06 09 01 13 05 | 15 08 12 07 03 |
# +----------------+----------------+----------------+
# | 08 12 02 06 10 | 01 13 11 05 07 | 03 04 14 09 15 |
# | 05 15 09 13 11 | 14 03 12 04 10 | 02 07 06 08 01 |
# | 14 04 01 07 03 | 09 06 02 08 15 | 05 11 13 10 12 |
# +----------------+----------------+----------------+
# | 11 09 03 12 13 | 10 15 14 07 02 | 04 05 01 06 08 |
# | 15 06 14 01 04 | 11 08 05 03 09 | 07 12 02 13 10 |
# | 02 08 05 10 07 | 04 12 13 01 06 | 09 15 03 14 11 |
# +----------------+----------------+----------------+
# Use print or show_full to display more information
print(solution)
solution.show_full()
# ---------------------------
# 15x15 (5x3) SUDOKU PUZZLE
# Difficulty: SOLVED
# ---------------------------
# +----------------+----------------+----------------+
# | 09 10 11 04 06 | 05 01 03 12 13 | 08 14 15 02 07 |
# | 03 05 07 08 01 | 02 14 15 09 04 | 06 10 11 12 13 |
# | 12 02 13 14 15 | 07 10 06 11 08 | 01 03 04 05 09 |
# +----------------+----------------+----------------+
# | 13 14 06 11 08 | 15 07 09 02 12 | 10 01 05 03 04 |
# | 10 03 15 05 02 | 13 04 08 14 01 | 12 09 07 11 06 |
# | 01 07 04 09 12 | 03 05 10 06 11 | 13 02 08 15 14 |
# +----------------+----------------+----------------+
# | 07 13 08 15 05 | 12 11 04 10 03 | 14 06 09 01 02 |
# | 06 01 12 03 09 | 08 02 07 15 14 | 11 13 10 04 05 |
# | 04 11 10 02 14 | 06 09 01 13 05 | 15 08 12 07 03 |
# +----------------+----------------+----------------+
# | 08 12 02 06 10 | 01 13 11 05 07 | 03 04 14 09 15 |
# | 05 15 09 13 11 | 14 03 12 04 10 | 02 07 06 08 01 |
# | 14 04 01 07 03 | 09 06 02 08 15 | 05 11 13 10 12 |
# +----------------+----------------+----------------+
# | 11 09 03 12 13 | 10 15 14 07 02 | 04 05 01 06 08 |
# | 15 06 14 01 04 | 11 08 05 03 09 | 07 12 02 13 10 |
# | 02 08 05 10 07 | 04 12 13 01 06 | 09 15 03 14 11 |
# +----------------+----------------+----------------+
```
### Seeds
Problems can be generated with a certain seed.
```py
# Generates a 3x2 puzzle with a given seed
Sudoku(3, 2, seed=100).solve().show()
# +-------+-------+
# | 5 6 3 | 1 2 4 |
# | 2 1 4 | 5 3 6 |
# +-------+-------+
# | 1 5 2 | 6 4 3 |
# | 3 4 6 | 2 5 1 |
# +-------+-------+
# | 6 3 5 | 4 1 2 |
# | 4 2 1 | 3 6 5 |
# +-------+-------+
```
### Importing boards
Puzzle boards can also be imported.
```py
board = [
[0,0,7,0,4,0,0,0,0],
[0,0,0,0,0,8,0,0,6],
[0,4,1,0,0,0,9,0,0],
[0,0,0,0,0,0,1,7,0],
[0,0,0,0,0,6,0,0,0],
[0,0,8,7,0,0,2,0,0],
[3,0,0,0,0,0,0,0,0],
[0,0,0,1,2,0,0,0,0],
[8,6,0,0,7,0,0,0,5]
]
puzzle = Sudoku(3, 3, board=board)
print(puzzle)
# ---------------------------
# 9x9 (3x3) SUDOKU PUZZLE
# Difficulty: 0.74
# ---------------------------
# +-------+-------+-------+
# | 7 | 4 | |
# | | 8 | 6 |
# | 4 1 | | 9 |
# +-------+-------+-------+
# | | | 1 7 |
# | | 6 | |
# | 8 | 7 | 2 |
# +-------+-------+-------+
# | 3 | | |
# | | 1 2 | |
# | 8 6 | 7 0 | 5 |
# +-------+-------+-------+
puzzle.solve().show_full()
# ---------------------------
# 9x9 (3x3) SUDOKU PUZZLE
# Difficulty: SOLVED
# ---------------------------
# +-------+-------+-------+
# | 9 8 7 | 6 4 2 | 5 3 1 |
# | 2 3 5 | 9 1 8 | 7 4 6 |
# | 6 4 1 | 5 3 7 | 9 8 2 |
# +-------+-------+-------+
# | 5 2 6 | 3 8 4 | 1 7 9 |
# | 1 7 3 | 2 9 6 | 8 5 4 |
# | 4 9 8 | 7 5 1 | 2 6 3 |
# +-------+-------+-------+
# | 3 1 9 | 8 6 5 | 4 2 7 |
# | 7 5 4 | 1 2 3 | 6 9 8 |
# | 8 6 2 | 4 7 9 | 3 1 5 |
# +-------+-------+-------+
```
### Invalid boards
Invalid boards give errors when attempted to be solved.
```py
board = [
[0,0,7,0,4,0,0,0,0],
[0,0,0,0,0,8,0,0,6],
[0,4,1,0,0,0,9,0,0],
[0,0,0,0,0,0,1,7,0],
[0,0,0,0,0,6,0,0,0],
[0,0,8,7,0,0,2,0,0],
[3,0,0,0,0,0,0,0,0],
[0,0,0,1,2,0,0,0,0],
[8,6,0,0,7,6,0,0,5]
]
puzzle = Sudoku(3, 3, board=board)
puzzle.show_full()
# ---------------------------
# 9x9 (3x3) SUDOKU PUZZLE
# Difficulty: 0.74
# ---------------------------
# +-------+-------+-------+
# | 7 | 4 | |
# | | 8 | 6 |
# | 4 1 | | 9 |
# +-------+-------+-------+
# | | | 1 7 |
# | | 6 | |
# | 8 | 7 | 2 |
# +-------+-------+-------+
# | 3 | | |
# | | 1 2 | |
# | 8 6 | 7 6 | 5 |
# +-------+-------+-------+
puzzle.solve().show_full()
# ---------------------------
# 9x9 (3x3) SUDOKU PUZZLE
# Difficulty: INVALID PUZZLE (GIVEN PUZZLE HAS NO SOLUTION)
# ---------------------------
# +-------+-------+-------+
# | | | |
# | | | |
# | | | |
# +-------+-------+-------+
# | | | |
# | | | |
# | | | |
# +-------+-------+-------+
# | | | |
# | | | |
# | | | |
# +-------+-------+-------+
```
If you wish to raise an `UnsolvableSudoku` error when the board is invalid pass a `raising=True` parameter:
```py
puzzle.solve(raising=True)
```
Raw data
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"description": "# py-sudoku\n\nA simple Python program that generates and solves m x n Sudoku puzzles.\n\n## Install\n\n```sh\n# Python 2\npip install py-sudoku\n\n# Python 3\npip3 install py-sudoku\n```\n\n## Usage\n\n### Basic usage\n\n```py\nfrom sudoku import Sudoku\n# Initializes a Sudoku puzzle with 3 x 3 sub-grid and\n# generates a puzzle with half of the cells empty\npuzzle = Sudoku(3).difficulty(0.5)\npuzzle.show()\n# +-------+-------+-------+\n# | 4 1 | 3 | 7 6 |\n# | 9 3 | 7 | 4 1 |\n# | 2 | 1 4 | 8 3 |\n# +-------+-------+-------+\n# | 9 5 8 | | 7 |\n# | 3 4 | 7 | 1 |\n# | 7 2 | 8 9 3 | 5 4 |\n# +-------+-------+-------+\n# | 8 | 2 | 3 7 4 |\n# | 4 | | 1 9 5 |\n# | | 5 | 6 |\n# +-------+-------+-------+\n\nsolution = puzzle.solve()\nsolution.show()\n# +-------+-------+-------+\n# | 4 1 5 | 3 8 9 | 7 6 2 |\n# | 8 9 3 | 6 7 2 | 4 5 1 |\n# | 2 6 7 | 1 4 5 | 9 8 3 |\n# +-------+-------+-------+\n# | 9 5 8 | 4 1 6 | 2 3 7 |\n# | 3 4 6 | 5 2 7 | 8 1 9 |\n# | 1 7 2 | 8 9 3 | 5 4 6 |\n# +-------+-------+-------+\n# | 5 8 9 | 2 6 1 | 3 7 4 |\n# | 6 2 4 | 7 3 8 | 1 9 5 |\n# | 7 3 1 | 9 5 4 | 6 2 8 |\n# +-------+-------+-------+\n\nsolution.board\n# [[4, 1, 5, 3, 8, 9, 7, 6, 2],\n# [8, 9, 3, 6, 7, 2, 4, 5, 1],\n# [2, 6, 7, 1, 4, 5, 9, 8, 3],\n# [9, 5, 8, 4, 1, 6, 2, 3, 7],\n# [3, 4, 6, 5, 2, 7, 8, 1, 9],\n# [1, 7, 2, 8, 9, 3, 5, 4, 6],\n# [5, 8, 9, 2, 6, 1, 3, 7, 4],\n# [6, 2, 4, 7, 3, 8, 1, 9, 5],\n# [7, 3, 1, 9, 5, 4, 6, 2, 8]]\n\nsolution.width\n# 3\n\nsolution.height\n# 3\n```\n\n### Creating puzzles\n\nm x n rectangular puzzles can be initialized using the `Sudoku(width)` or `Sudoku(width, height)` constructors.\n\n```py\n# Initializes a 3 x 5 puzzle\npuzzle = Sudoku(3, 5)\n# Initializes a 4 x 4 puzzle\npuzzle = Sudoku(4)\npuzzle = Sudoku(4, 4)\n```\n\nUse ```solve()``` to get a solved puzzle, or ```difficulty(x)``` to create a problem.\n\n```py\n# Create a 3 x 5 sub-grid problem with 0.4 difficulty (40% of cells empty)\npuzzle = Sudoku(3, 5).difficulty(0.4)\n\n# Create a solved 4 x 4 problem\npuzzle = Sudoku(4).solve()\n```\n\n### Displaying puzzles\n\n```py\nsolution = Sudoku(5, 3).solve()\n\n# Shows the puzzle only\nsolution.show()\n# +----------------+----------------+----------------+\n# | 09 10 11 04 06 | 05 01 03 12 13 | 08 14 15 02 07 |\n# | 03 05 07 08 01 | 02 14 15 09 04 | 06 10 11 12 13 |\n# | 12 02 13 14 15 | 07 10 06 11 08 | 01 03 04 05 09 |\n# +----------------+----------------+----------------+\n# | 13 14 06 11 08 | 15 07 09 02 12 | 10 01 05 03 04 |\n# | 10 03 15 05 02 | 13 04 08 14 01 | 12 09 07 11 06 |\n# | 01 07 04 09 12 | 03 05 10 06 11 | 13 02 08 15 14 |\n# +----------------+----------------+----------------+\n# | 07 13 08 15 05 | 12 11 04 10 03 | 14 06 09 01 02 |\n# | 06 01 12 03 09 | 08 02 07 15 14 | 11 13 10 04 05 |\n# | 04 11 10 02 14 | 06 09 01 13 05 | 15 08 12 07 03 |\n# +----------------+----------------+----------------+\n# | 08 12 02 06 10 | 01 13 11 05 07 | 03 04 14 09 15 |\n# | 05 15 09 13 11 | 14 03 12 04 10 | 02 07 06 08 01 |\n# | 14 04 01 07 03 | 09 06 02 08 15 | 05 11 13 10 12 |\n# +----------------+----------------+----------------+\n# | 11 09 03 12 13 | 10 15 14 07 02 | 04 05 01 06 08 |\n# | 15 06 14 01 04 | 11 08 05 03 09 | 07 12 02 13 10 |\n# | 02 08 05 10 07 | 04 12 13 01 06 | 09 15 03 14 11 |\n# +----------------+----------------+----------------+\n\n\n# Use print or show_full to display more information\nprint(solution)\nsolution.show_full()\n# ---------------------------\n# 15x15 (5x3) SUDOKU PUZZLE\n# Difficulty: SOLVED\n# ---------------------------\n# +----------------+----------------+----------------+\n# | 09 10 11 04 06 | 05 01 03 12 13 | 08 14 15 02 07 |\n# | 03 05 07 08 01 | 02 14 15 09 04 | 06 10 11 12 13 |\n# | 12 02 13 14 15 | 07 10 06 11 08 | 01 03 04 05 09 |\n# +----------------+----------------+----------------+\n# | 13 14 06 11 08 | 15 07 09 02 12 | 10 01 05 03 04 |\n# | 10 03 15 05 02 | 13 04 08 14 01 | 12 09 07 11 06 |\n# | 01 07 04 09 12 | 03 05 10 06 11 | 13 02 08 15 14 |\n# +----------------+----------------+----------------+\n# | 07 13 08 15 05 | 12 11 04 10 03 | 14 06 09 01 02 |\n# | 06 01 12 03 09 | 08 02 07 15 14 | 11 13 10 04 05 |\n# | 04 11 10 02 14 | 06 09 01 13 05 | 15 08 12 07 03 |\n# +----------------+----------------+----------------+\n# | 08 12 02 06 10 | 01 13 11 05 07 | 03 04 14 09 15 |\n# | 05 15 09 13 11 | 14 03 12 04 10 | 02 07 06 08 01 |\n# | 14 04 01 07 03 | 09 06 02 08 15 | 05 11 13 10 12 |\n# +----------------+----------------+----------------+\n# | 11 09 03 12 13 | 10 15 14 07 02 | 04 05 01 06 08 |\n# | 15 06 14 01 04 | 11 08 05 03 09 | 07 12 02 13 10 |\n# | 02 08 05 10 07 | 04 12 13 01 06 | 09 15 03 14 11 |\n# +----------------+----------------+----------------+\n```\n\n### Seeds\n\nProblems can be generated with a certain seed.\n\n```py\n# Generates a 3x2 puzzle with a given seed\nSudoku(3, 2, seed=100).solve().show()\n# +-------+-------+\n# | 5 6 3 | 1 2 4 |\n# | 2 1 4 | 5 3 6 |\n# +-------+-------+\n# | 1 5 2 | 6 4 3 |\n# | 3 4 6 | 2 5 1 |\n# +-------+-------+\n# | 6 3 5 | 4 1 2 |\n# | 4 2 1 | 3 6 5 |\n# +-------+-------+\n\n```\n\n### Importing boards\n\nPuzzle boards can also be imported.\n\n```py\nboard = [\n [0,0,7,0,4,0,0,0,0],\n [0,0,0,0,0,8,0,0,6],\n [0,4,1,0,0,0,9,0,0],\n [0,0,0,0,0,0,1,7,0],\n [0,0,0,0,0,6,0,0,0],\n [0,0,8,7,0,0,2,0,0],\n [3,0,0,0,0,0,0,0,0],\n [0,0,0,1,2,0,0,0,0],\n [8,6,0,0,7,0,0,0,5]\n]\npuzzle = Sudoku(3, 3, board=board)\n\nprint(puzzle)\n# ---------------------------\n# 9x9 (3x3) SUDOKU PUZZLE\n# Difficulty: 0.74\n# ---------------------------\n# +-------+-------+-------+\n# | 7 | 4 | |\n# | | 8 | 6 |\n# | 4 1 | | 9 |\n# +-------+-------+-------+\n# | | | 1 7 |\n# | | 6 | |\n# | 8 | 7 | 2 |\n# +-------+-------+-------+\n# | 3 | | |\n# | | 1 2 | |\n# | 8 6 | 7 0 | 5 |\n# +-------+-------+-------+\n\npuzzle.solve().show_full()\n# ---------------------------\n# 9x9 (3x3) SUDOKU PUZZLE\n# Difficulty: SOLVED\n# ---------------------------\n# +-------+-------+-------+\n# | 9 8 7 | 6 4 2 | 5 3 1 |\n# | 2 3 5 | 9 1 8 | 7 4 6 |\n# | 6 4 1 | 5 3 7 | 9 8 2 |\n# +-------+-------+-------+\n# | 5 2 6 | 3 8 4 | 1 7 9 |\n# | 1 7 3 | 2 9 6 | 8 5 4 |\n# | 4 9 8 | 7 5 1 | 2 6 3 |\n# +-------+-------+-------+\n# | 3 1 9 | 8 6 5 | 4 2 7 |\n# | 7 5 4 | 1 2 3 | 6 9 8 |\n# | 8 6 2 | 4 7 9 | 3 1 5 |\n# +-------+-------+-------+\n```\n\n### Invalid boards\n\nInvalid boards give errors when attempted to be solved.\n\n```py\nboard = [\n [0,0,7,0,4,0,0,0,0],\n [0,0,0,0,0,8,0,0,6],\n [0,4,1,0,0,0,9,0,0],\n [0,0,0,0,0,0,1,7,0],\n [0,0,0,0,0,6,0,0,0],\n [0,0,8,7,0,0,2,0,0],\n [3,0,0,0,0,0,0,0,0],\n [0,0,0,1,2,0,0,0,0],\n [8,6,0,0,7,6,0,0,5]\n]\npuzzle = Sudoku(3, 3, board=board)\n\npuzzle.show_full()\n# ---------------------------\n# 9x9 (3x3) SUDOKU PUZZLE\n# Difficulty: 0.74\n# ---------------------------\n# +-------+-------+-------+\n# | 7 | 4 | |\n# | | 8 | 6 |\n# | 4 1 | | 9 |\n# +-------+-------+-------+\n# | | | 1 7 |\n# | | 6 | |\n# | 8 | 7 | 2 |\n# +-------+-------+-------+\n# | 3 | | |\n# | | 1 2 | |\n# | 8 6 | 7 6 | 5 |\n# +-------+-------+-------+\n\npuzzle.solve().show_full()\n# ---------------------------\n# 9x9 (3x3) SUDOKU PUZZLE\n# Difficulty: INVALID PUZZLE (GIVEN PUZZLE HAS NO SOLUTION)\n# ---------------------------\n# +-------+-------+-------+\n# | | | |\n# | | | |\n# | | | |\n# +-------+-------+-------+\n# | | | |\n# | | | |\n# | | | |\n# +-------+-------+-------+\n# | | | |\n# | | | |\n# | | | |\n# +-------+-------+-------+\n```\n\nIf you wish to raise an `UnsolvableSudoku` error when the board is invalid pass a `raising=True` parameter:\n\n```py\npuzzle.solve(raising=True)\n```\n",
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