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Problem
Given a matrix of integers, find the submatrix with the largest sum and print that sum.
Input format
Input
input.txt
- Two integers N, M (1 ≤ N, M ≤ 20) - N rows of M integers
Output format
Output
output.txt
- The sum of the submatrix with the largest sum.
Example
input
3 3 -1 2 -1 2 3 -2 -1 4 -1
output
8
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Sample cases (from the problem)
Sample Case 1
Input
3 3 -1 2 -1 2 3 -2 -1 4 -1
Expected output
8
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