12161216 SUSTech Online Judge
Problem 1216 --Magic Matrix

1216: Magic Matrix

Time Limit: 2 Sec  Memory Limit: 256 MB
Submit: 172  Solved: 36
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A matrix is magic , if the difference between its maxmium and mimimum elements ≤ m. IceRuler has a large N×N matrix M. He would like to know size of the biggest magic sub-matrix of M.


Input contains multiple testcases. The first line of Input contains a single integer T( 1≤T≤1000).The number of testcases. For each case,first line contains two numbers N (1≤N≤500) and M(0≤M≤100000),represent the given matrix is N square matrix and magic equilibrium value is M. Each of the next N rows contains N integers, representing the large matrix. Elements are positive integers and not larger than \(10^5\) . It is guaranteed that the sum of \(N^3\) for all testcases is not exceed \(2\cdot 10^8\) 。


For each case, print size of the biggest magic sub-matrix of M in one line.

Sample Input

2 0
3 3
2 3
3 1
2 4 3
3 4 2
4 3 2

Sample Output