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.
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.
The output for each test case will be 1 if the matrix is Toeplitz else it will be 0.
Example(To be used only for expected output):
6 7 8 4 6 7 1 4 6
1 2 3 4 5 6
(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 Input/Ouput format and Example given are used for system's internal purpose, and should be used by a user for Expected Output only. As it is a function problem, hence a user should not read any input from stdin/console. The task is to complete the function specified, and not to write the full code.
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