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"""
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File: max_product_cutting.py
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Created Time: 2023-07-21
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Author: krahets (krahets@163.com)
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"""
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import math
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def max_product_cutting(n: int) -> int:
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"""最大切分乘积：贪心"""
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# 当 n <= 3 时，必须切分出一个 1
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if n <= 3:
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return 1 * (n - 1)
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# 贪心地切分出 3 ，a 为 3 的个数，b 为余数
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a, b = n // 3, n % 3
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if b == 1:
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# 当余数为 1 时，将一对 1 * 3 转化为 2 * 2
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return int(math.pow(3, a - 1)) * 2 * 2
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if b == 2:
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# 当余数为 2 时，不做处理
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return int(math.pow(3, a)) * 2
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# 当余数为 0 时，不做处理
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return int(math.pow(3, a))
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"""Driver Code"""
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if __name__ == "__main__":
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n = 58
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# 贪心算法
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res = max_product_cutting(n)
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print(f"最大切分乘积为 {res}")
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