How to Solve Find Minimum Log Transportation Cost Problem
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Find Minimum Log Transportation Cost
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 cu...
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Understanding the Find Minimum Log Transportation Cost Problem
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Problem Statement
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.
Find Minimum Log Transportation Cost
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Examples
n = 6, m = 5, k = 55Cut 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.
n = 4, m = 4, k = 60The two logs can fit in the trucks already, hence we don't need to cut the logs.
Constraints
2 <= k <= 1051 <= n, m <= 2 * kThe input is generated such that it is always possible to transport the logs.How Interview Coder Helps with Leetcode Problems
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