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Problem
Given an N×M matrix, find the submatrix with the largest sum. Output the maximal sum.
Input format
Input
input.txt
- The first line contains N and M (1 ≤ N, M ≤ 20). - Each of the next N lines contains M integers.
Output format
Output
output.txt
- The maximal sum.
Example
input
2 3 1 -2 0 -3 4 5
output
9
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Sample cases (from the problem)
Sample Case 1
Input
2 3 1 -2 0 -3 4 5
Expected output
9
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