Suppose you are given a 6-by-6 matrix filled with 0s and 1s. All rows and all columns have an even number of 1s. 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-by-6 array with 0s and 1s and find the first row r and first column c where the even number of the 1s property is violated (i.e., the number of 1s is not even). The flipped cell is at (r, c). Here is a sample run:

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Enter a 6-by-6 matrix row by row: 11 1 0 1 1 -Enter 111 10 0 - Enter 0 10 1 1 1 |- Enter 1 1 1 1 1 1 -Enter 0 1 1 1 1 0 10 0 0 0 1 -Enter The flipped cell is at (0, 1) Enter