Description
You are given three n × n matrices A, B and C. Does the equation A × B = C hold true?
Input
The first line of input contains a positive integer n (n ≤ 500) followed by the the three matrices A, B and C respectively. Each matrix's description is a block of n × n integers.
It guarantees that the elements of A and B are less than 100 in absolute value and elements of C are less than 10,000,000 in absolute value.
Output
Output "YES" if the equation holds true, otherwise "NO".
Sample Input
2
1 0
2 3
5 1
0 8
5 1
10 26
Sample Output
YES
Matrix Multiplication
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