You are given integers n, m, and k.
There are two logs of lengths n and m units, which need to be transported in three trucks where each truck can carry one log with length at most k units.
You may cut the logs into smaller pieces, where the cost of cutting a log of length x into logs of length len1 and len2 is cost = len1 * len2 such that len1 + len2 = x.
Return the minimum total cost to distribute the logs onto the trucks. If the logs don't need to be cut, the total cost is 0.
\n\n\n
Example 1:
\n\nInput: n = 6, m = 5, k = 5
\n\nOutput: 5
\n\nExplanation:
\n\nCut the log with length 6 into logs with length 1 and 5, at a cost equal to 1 * 5 == 5. Now the three logs of length 1, 5, and 5 can fit in one truck each.
Example 2:
\n\nInput: n = 4, m = 4, k = 6
\n\nOutput: 0
\n\nExplanation:
\n\nThe two logs can fit in the trucks already, hence we don't need to cut the logs.
\n\n
Constraints:
\n\n2 <= k <= 1051 <= n, m <= 2 * k给你三个整数 n、m 和 k。
有两根长度分别为 n 和 m 单位的木材，需要通过三辆卡车运输。每辆卡车最多只能装载一根长度 不超过 k 单位的木材。
你可以将木材切成更小的段，其中将长度为 x 的木材切割成长度为 len1 和 len2 的段的成本为 cost = len1 * len2，并且满足 len1 + len2 = x。
返回将木材分配到卡车上的 最小总成本 。如果木材不需要切割，总成本为 0。
\n\n\n\n
示例 1：
\n\n输入： n = 6, m = 5, k = 5
\n\n输出： 5
\n\n解释：
\n\n将长度为 6 的木材切割成长度为 1 和 5 的两段，成本为 1 * 5 == 5。现在三段长度分别为 1、5 和 5 的木材可以分别装载到每辆卡车。
示例 2：
\n\n输入： n = 4, m = 4, k = 6
\n\n输出： 0
\n\n解释：
\n\n两根木材已经可以直接装载到卡车上，因此不需要切割。
\n\n\n
提示：
\n\n2 <= k <= 1051 <= n, m <= 2 * kk, cost is zero.",
"Can we transport the logs if both logs have length greater than k.",
"Otherwise, pick the log with greater length and cut it into logs with lengths len1 and len2 such that len1 + len2 equals the original length.",
"To minimize the cost len1 * len2, choose len1 and len2 as far apart as possible (e.g. 1 and length−1)."
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