You are given three n × n matrices A, B and C. Does the equation A × B = C hold true?
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 "YES" if the equation holds true, otherwise "NO".
Multiple inputs will be tested. So O(n3) algorithm will get TLE.