Find the greatest constant λ such that for any doubly stochastic matrix of order 100, we can pick 150 entries such that if the other 9850 entries were replaced by 0, the sum of entries in each row and each column is at least λ.Note: A doubly stochastic matrix of order n is a n×n matrix, all entries are nonnegative reals, and the sum of entries in each row and column is equal to 1. matrixcombinatoricssquare grid