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Maximum Bipartite Matching
Medium Accuracy: 27.0% Submissions: 1536 Points: 4

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. Given a matrix G where G(i,j) denotes ith applicant is interested in jth job. Find an assignment of jobs to applicant in such that as many applicants as possible get jobs.
 

Example 1:

Input: G = {{1,1,0,1,1},{0,1,0,0,1},
{1,1,0,1,1}}
Output: 3
Explanation: There is one of the possible
assignment-
First applicant gets the 1st job.
Second applicant gets the 2nd job.
Third applicant gets the 3rd job.

Example 2:

Input: G = {{1,1},{0,1},{0,1},{0,1},
{0,1},{1,0}}
Output: 2
Explanation: There is one of the possible
assignment-
First applicant gets the 1st job.
Second applicant gets the 2nd job.

 

Your Task:
You don't need to read to print anything. Your task is to complete the function maximumMatch() which takes matrix G as input parameter and returns the maximum number of applicants who can get the job.

 

Expected Time Complexity: O(N3)
Expected Auxiliary Space: O(N)

 

Constraints:
1 ≤ N, M ≤ 100

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