Given a binary matrix, Your task is to complete the function maxArea which the maximum size rectangle area in a binary-sub-matrix with all 1’s. The function takes 3 arguments the first argument is the Matrix M[ ] [ ] and the next two are two  integers n and m which denotes the size of the matrix M. Your function should return an integer denoting the area of the maximum rectangle .

The first line of input is an integer T denoting the no of test cases . Then T test cases follow. The first line of each test case are 2 integers n and m denoting the size of the matrix M . Then in the next line are n*m space separated values of the matrix M.

For each test case output will be the area of the maximum rectangle .


Expected Time Complexity : O(n*m)
Expected Auixilliary Space : O(m)


4 4 
0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0


For the above test case the matrix will look like
0 1 1 0
1 1 1 1
1 1 1 1
1 1 0 0
the max size rectangle is 
1 1 1 1
1 1 1 1
and area is 4 *2 = 8

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.

** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Mridul Gupta
Author: Shubham Joshi 1

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