There are M job applicants and N jobs. Each applicant has a subset of jobs that he/she is interseted in. Each job opening can only accept one applicant and a job applicant can be appointed for only one job. Find an assignment of jobs to applicant in such that as many applicants as possible get jobs.

Input:
First line consists of test case T. First line of every test case consists of two integers M and N. Second line of every test case consists of M*N spaced bool values(0 and 1).

Output:
Returns a integer value, denoting the  number of applicants can get the job.

Constraints:
1<=T<=100
1<=M,N<=10

Example:
Input:
1
6 6
0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
Output:
5

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