O(n³) Stress Test Matrix Multiplication

Points 100 8.0s 256M

You are given two \(n \times n\) matrices \(A\) and \(B\). Compute the bitwise xor of all entries in the product \(A \times B\).

Input

The first line contains a positive integer \(n\) (\(n \le 1200\)).

Each of the next \(n\) lines describes a row of matrix \(A\) as a string of length \(n\) consisting of digits 0 through 7; the digit in row \(i\), column \(j\) gives \(A_{i,j}\). The following \(n\) lines, in the same format, describe matrix \(B\).

Output

Output the xor of all elements of \(A \times B\).

Sample Input 1

2
76
05
56
46

Sample Output 1

127

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