A boolean matrix has the parity property when each row and each column has an even sum, i.e. contains an even number of bits which are set. Here’s a 4 × 4 matrix which has the parity property: 1010 0000 1111 0101 Thesumsoftherowsare2,0,4and2. Thesumsofthecolumnsare2,2,2and2. Your job is to write a program that reads in a matrix and checks if it has the parity property. If not, your program should check if the parity property can be established by changing only one bit. If this is not possible either, the matrix should be classified as corrupt. Input The input file will contain one or more test cases. The first line of each test case contains one integer n (n < 100), representing the size of the matrix. On the next n lines, there will be n integers per line. No other integers than ‘0’ and ‘1’ will occur in the matrix. Input will be terminated by a value of 0 for n. Output For each matrix in the input file, print one line. If the matrix already has the parity property, print ‘OK’. If the parity property can be established by changing one bit, print ‘Change bit (i,j)’ where i is the row and j the column of the bit to be changed. Otherwise, print ‘Corrupt’. Sample Input 4 1010 0000 1111 0101 4 1010 0010 1111 0101 4 1010 0110 1111 0101 0
2/2 Sample Output OK Change bit (2,3) Corrupt