计算数独的脚本

总体逻辑为:从行列上去寻找非重复值,直到找到一个可选的唯一值,重复遍历找到最终的确认结果。

import math


class sudoku():
    def __init__(self, sudo_list):
        self.sudo_list = sudo_list
        self.init_range = set([x for x in range(1, 10)])

    def _init_list(self):
        self.sudo_list_bak = [[0 for x in range(9)] for y in [0 for x in range(9)]]
        for row in range(9):
            for column in range(9):
                bak_dict = {}
                bak_dict['value'] = self.sudo_list[row][column]
                block = (math.floor(row / 3) + 1, math.floor(column / 3) + 1)
                bak_dict["row"] = row
                bak_dict["column"] = column
                bak_dict["block"] = block

                self.sudo_list_bak[row][column] = bak_dict
        for row in range(9):
            for column in range(9):
                current_dict = self.sudo_list_bak[row][column]
                # print(row,column,current_dict)
                if current_dict['value'] == 0:
                    current_dict['bakvalue'] = self.init_range.copy()
                    current_dict['bakvalue'] = self._getback_value(current_dict['row'], current_dict['column'],
                                                                   current_dict['block'])

    def _getback_value(self, row, column, block):
        row_value = self._getback_row_value(row)
        column_value = self._getback_column_value(column)
        block_value = self._getback_block_value(row, column)
        return row_value.intersection(column_value, block_value)

    def _getback_row_value(self, row):
        exists_value_list = [i["value"] for i in self.sudo_list_bak[row]]
        row_value = self.init_range.copy()
        for i in exists_value_list:
            row_value.discard(i)
        return row_value

    def _getback_column_value(self, column):
        exists_value_list = [i[column]["value"] for i in self.sudo_list_bak]
        column_value = self.init_range.copy()
        for i in exists_value_list:
            column_value.discard(i)
        return column_value

    def _getback_block_value(self, row, block):
        exists_value_list = []
        for x in self.sudo_list_bak:
            for y in x:
                if y["block"] == block:
                    y['value'].append(exists_value_list)
        block_value = self.init_range.copy()
        for i in exists_value_list:
            block_value.discard(i)
        return block_value

    def compli_judge(self):
        for x in self.sudo_list_bak:
            for y in x:
                if y['value'] == 0:
                    return True
        return False

    def loop(self):
        a = 0
        while self.compli_judge():
            for x in self.sudo_list_bak:
                for y in x:
                    if y['value'] == 0 and len(y['bakvalue']) == 1:
                        y['value'] = list(y['bakvalue'])[0]
                        y.pop('bakvalue')
                        for x_new in self.sudo_list_bak:
                            for y_new in x_new:
                                if y_new['value'] == 0 and (
                                        y_new['row'] == y['row'] or y_new['column'] == y['column'] or y_new['block'] ==
                                        y[
                                            "block"]):
                                    y_new['bakvalue'].discard(y['value'])
            a += 1
            if a == 10:
                print('10次以上循环退出')
                break

    def result(self):
        self._init_list()
        self.loop()
        for x in range(9):
            for y in range(9):
                self.sudo_list[x][y] = self.sudo_list_bak[x][y]['value']
        return self.sudo_list


def result(self):
    return self.sudo_list

if __name__ == '__main__':
    sudolist = [
        [5, 0, 2, 4, 0, 0, 9, 0, 1],
        [0, 6, 0, 0, 0, 1, 2, 0, 0],
        [0, 9, 0, 0, 0, 0, 7, 8, 3],
        [0, 0, 0, 0, 8, 4, 0, 3, 9],
        [0, 0, 0, 1, 2, 7, 0, 0, 5],
        [4, 8, 0, 5, 9, 0, 6, 0, 7],
        [2, 0, 6, 0, 1, 5, 3, 9, 8],
        [0, 1, 3, 0, 0, 2, 5, 7, 0],
        [0, 0, 7, 0, 0, 0, 4, 0, 0]
    ]
    sudo = sudoku(sudolist)
    reuslt_list = sudo.result()
    for x in range(9):
        if x % 3 == 0:
            print("—" * 21)
        for y in range(9):
            if y % 3 == 0:
                print("|", end="")
            print(reuslt_list[x][y], end=" ")
        print("")
    print("—" * 21)

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