Question: A square array A[1..N, 1..N] of positive integers is given. Design an algorithm, that will select N values from this array so that exactly one

A square array A[1..N, 1..N] of positive integers is given. Design an algorithm, that will select N values from this array so that exactly one value from each column and each row is selected and the sum of these values is minimal (over all possible selections).

Describe this algorithm and give its pseudocode.
Briefly justify its correctness.
Estimate its time and space complexity.

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