Python(AI约束满足问题)将正方形和/或矩形(2d)瓷砖安装到矩形地面上

from constraint import Problem

# 定义地面和瓷砖的尺寸
ground_width = 10
ground_height = 8
tile_width = 2
tile_height = 2

# 创建问题实例
problem = Problem()

# 定义变量和变量的取值范围
for x in range(ground_width):
    for y in range(ground_height):
        problem.addVariable((x, y), range(2))  # 0表示正方形瓷砖，1表示矩形瓷砖

# 定义约束条件
def tile_constraint(variables, values):
    x, y = variables
    tile_type = values
    if tile_type == 0:  # 正方形瓷砖
        if x + tile_width > ground_width or y + tile_height > ground_height:
            return False  # 瓷砖超出地面范围
        for i in range(tile_width):
            for j in range(tile_height):
                if (x + i, y + j) in variables and variables[(x + i, y + j)] != tile_type:
                    return False  # 瓷砖与其他瓷砖不匹配
    else:  # 矩形瓷砖
        if x + tile_height > ground_width or y + tile_width > ground_height:
            return False  # 瓷砖超出地面范围
        for i in range(tile_height):
            for j in range(tile_width):
                if (x + i, y + j) in variables and variables[(x + i, y + j)] != tile_type:
                    return False  # 瓷砖与其他瓷砖不匹配
    return True

problem.addConstraint(tile_constraint)

# 求解问题
solutions = problem.getSolutions()

# 打印所有解决方案
for solution in solutions:
    print(solution)