In a class with m boys and n girls preparing for a Halloween party, you're provided with an integer matrix grid of dimensions m n. In this matrix, each entry grid[i][j] is either 0 or 1. If grid[i][j] is equal to 1, it signifies that the ith boy can send an invitation to the jth girl for the party. It's important to note that each boy can invite a girl at most once, and each girl can accept an invitation from a boy at most once