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132 lines
3.6 KiB
Python
132 lines
3.6 KiB
Python
# https://www.geeksforgeeks.org/solve-crossword-puzzle/
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def is_valid(
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puzzle: list[list[str]], word: str, row: int, col: int, vertical: bool
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) -> bool:
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"""
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Check if a word can be placed at the given position.
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>>> puzzle = [
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', '']
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... ]
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>>> is_valid(puzzle, 'word', 0, 0, True)
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True
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>>> puzzle = [
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', '']
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... ]
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>>> is_valid(puzzle, 'word', 0, 0, False)
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True
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"""
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for i in range(len(word)):
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if vertical:
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if row + i >= len(puzzle) or puzzle[row + i][col] != "":
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return False
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elif col + i >= len(puzzle[0]) or puzzle[row][col + i] != "":
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return False
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return True
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def place_word(
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puzzle: list[list[str]], word: str, row: int, col: int, vertical: bool
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) -> None:
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"""
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Place a word at the given position.
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>>> puzzle = [
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', '']
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... ]
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>>> place_word(puzzle, 'word', 0, 0, True)
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>>> puzzle
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[['w', '', '', ''], ['o', '', '', ''], ['r', '', '', ''], ['d', '', '', '']]
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"""
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for i, char in enumerate(word):
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if vertical:
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puzzle[row + i][col] = char
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else:
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puzzle[row][col + i] = char
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def remove_word(
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puzzle: list[list[str]], word: str, row: int, col: int, vertical: bool
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) -> None:
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"""
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Remove a word from the given position.
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>>> puzzle = [
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... ['w', '', '', ''],
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... ['o', '', '', ''],
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... ['r', '', '', ''],
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... ['d', '', '', '']
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... ]
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>>> remove_word(puzzle, 'word', 0, 0, True)
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>>> puzzle
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[['', '', '', ''], ['', '', '', ''], ['', '', '', ''], ['', '', '', '']]
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"""
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for i in range(len(word)):
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if vertical:
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puzzle[row + i][col] = ""
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else:
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puzzle[row][col + i] = ""
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def solve_crossword(puzzle: list[list[str]], words: list[str]) -> bool:
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"""
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Solve the crossword puzzle using backtracking.
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>>> puzzle = [
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', '']
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... ]
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>>> words = ['word', 'four', 'more', 'last']
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>>> solve_crossword(puzzle, words)
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True
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>>> puzzle = [
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', ''],
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... ['', '', '', '']
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... ]
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>>> words = ['word', 'four', 'more', 'paragraphs']
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>>> solve_crossword(puzzle, words)
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False
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"""
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for row in range(len(puzzle)):
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for col in range(len(puzzle[0])):
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if puzzle[row][col] == "":
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for word in words:
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for vertical in [True, False]:
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if is_valid(puzzle, word, row, col, vertical):
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place_word(puzzle, word, row, col, vertical)
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words.remove(word)
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if solve_crossword(puzzle, words):
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return True
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words.append(word)
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remove_word(puzzle, word, row, col, vertical)
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return False
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return True
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if __name__ == "__main__":
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PUZZLE = [[""] * 3 for _ in range(3)]
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WORDS = ["cat", "dog", "car"]
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if solve_crossword(PUZZLE, WORDS):
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print("Solution found:")
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for row in PUZZLE:
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print(" ".join(row))
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else:
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print("No solution found:")
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