Diagonal Zero Checker

In this problem, you are given a matrix of integers and you need to determine whether there exists at least one zero on either the primary diagonal or the secondary diagonal.

The primary diagonal of a matrix (A) is defined as the set of elements (A_{ii}) for (i = 0, 1, \ldots, \min(n, m)-1), where (n) and (m) are the number of rows and columns respectively.

The secondary diagonal is defined as (A_{i,(m-i-1)}) for (i = 0, 1, \ldots, \min(n, m)-1).

Your task is to check if there is any zero in either of these diagonals. If there is, print True; otherwise, print False.

inputFormat

The input is read from standard input. The first line contains two space-separated integers (n) and (m) representing the number of rows and columns of the matrix. This is followed by (n) lines, each containing (m) space-separated integers representing the matrix elements.

outputFormat

The output is a single line printed to standard output. Print True if at least one zero is found on either the primary or secondary diagonal, and False otherwise.## sample

3 3
1 2 3
4 5 6
7 8 9

False