魔术方块(Magic Square)是一种将数字填入正方形格子中,使得每一行、每一列以及对角线的数字之和相等的数学游戏。在Python中,可以通过编程来生成、验证和操作魔术方块。
def generate_magic_square(n):
magic_square = [[0] * n for _ in range(n)]
i, j = 0, n // 2
num = 1
while num <= n * n:
magic_square[i][j] = num
num += 1
newi, newj = (i - 1) % n, (j + 1) % n
if magic_square[newi][newj]:
i += 1
else:
i, j = newi, newj
return magic_square
def print_magic_square(magic_square):
n = len(magic_square)
for row in magic_square:
print(" ".join(f"{num:2d}" for num in row))
print(f"Magic constant: {n * (n * n + 1) // 2}")
# 生成并打印一个5阶魔术方块
magic_square = generate_magic_square(5)
print_magic_square(magic_square)
通过以上内容,你应该对Python中魔术方块的基础概念、优势、类型、应用场景以及常见问题有了全面的了解。
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