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A Toeplitz (or diagonal-constant) matrix is a matrix in which each descending diagonal from left to right is constant, i.e., all elements in a diagonal are same.

Given a matrix A of order N X M your task is to complete the function **isToeplitz** which returns true if the matrix is Toeplitz otherwise returns false.

**Input:**

The first line of input contains an integer T denoting the no of test cases .Then T test cases follow . Each test case contains two lines. The first line of each test case contains two integers N and M denoting the order of the matrix . Then in the next line are N*M space separated values of the matrix.

**Output:**

The output for each test case will be 1 if the matrix is Toeplitz else it will be 0.

**Constraints:**

1<=T<=50

1<=N,M<=40

1<=A[][]<=100

**Example(To be used only for expected output):
Input**

2

3 3

6 7 8 4 6 7 1 4 6

2 3

1 2 3 4 5 6

1

0

(i) The first test case represents a 3x3 matrix which looks like

6 7 8

4 6 7

1 4 6

Output: 1(True) as values in all diagonals are same.

(ii) In second test case matrix of order 2x3 will be

1 2 3

4 5 6

Output: 0(False) as values in all diagonals are not same.

Note:The

Author: Shubham Joshi 1

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