(Game: find the flipped cell) Suppose you are given a 6 × 6 matrix filled with 0 and 1. Al...

(Game: find the flipped cell) Suppose you are given a 6 × 6 matrix filled with 0 and 1. All rows and all columns have the even number of 1 s. Let the user flip one cell (i.e., flip from 1 to 0 or from 0 to 1) and write a program to find which cell was flipped. Your program should prompt the user to enter a 6 × 6 array with 0 and 1 and find the first row r and first column c where the parity is violated (i.e., the number of 1 ’s is not even). The flipped cell is at (r, c). Here is a sample run: