Generalizing is so difficult

There is a 0 0 in each cell of a 20 × 20 20\times 20 square grid. You are permitted to perform the following step as many times as you want:

Choose a row or a column, and replace the numbers in it with the numbers 1 , 2 , 3 , , 20 1, 2, 3, \dots, 20 in an order of your choosing.

What is the maximum possible sum of the numbers in the square?


The answer is 5530.

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