A palindrome sequence is a sequence which is as same as its reversed order. For example, 1 2 3 2 1 is a palindrome sequence, but 1 2 3 2 2 is not. Given a 2-D array of N rows and M columns, your task is to find a maximum sub-array of P rows and P columns, of which each row and each column is a palindrome sequence.
The first line of input contains only one integer, T, the number of test cases. Following T blocks, each block describe one test case. There is two integers N, M (1<=N, M<=300) separated by one white space in the first line of each block, representing the size of the 2-D array. Then N lines follow, each line contains M integers separated by white spaces, representing the elements of the 2-D array. All the elements in the 2-D array will be larger than 0 and no more than 31415926.
For each test case, output P only, the size of the maximum sub-array that you need to find.