Dear Monks

How I can eliminate rows in a given matrix such that it maximize the sum of the numbers in matrix and sum of numbers in each column should not exceed a given constant.

My First Apporach
1. Take all the possible combination of rows.
2. Have each combination calculate the column sum, discard the combination if any of them has colmun-sum exceeds the constant.
3. Figure out the best combination as maximum matrix-sum.
I appreciate Any other Approach.

Thanks,
Artist.

In reply to Matrix Maximization by artist

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