Minimum Cost for Cutting Cake II
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Description
There is an m x n cake that needs to be cut into 1 x 1 pieces.
You are given integers m, n, and two arrays:
- horizontalCut of size m - 1, where horizontalCut[i] represents the cost to cut along the horizontal line i.
- verticalCut of size n - 1, where verticalCut[j] represents the cost to cut along the vertical line j.
In one operation, you can choose any piece of cake that is not yet a 1 x 1 square and perform one of the following cuts:
- Cut along a horizontal line i at a cost of horizontalCut[i].
- Cut along a vertical line j at a cost of verticalCut[j].
After the cut, the piece of cake is divided into two distinct pieces.
The cost of a cut depends only on the initial cost of the line and does not change.
Return the minimum total cost to cut the entire cake into 1 x 1 pieces.
Solution