Code:
#include iostream
#include string.h
using namespace std;
// M is number of applicants and N is number of jobs
#define M 6
#define N 6
// A DFS based recursive function that returns true if a
// matching for vertex u is possible
bool bpm(bool bpGraph[M][N], int u, bool seen[], int matchR[])
{
// Try every job one by one
for (int v = 0; v < N; v++)
{
// If applicant u is interested in job v and v is
// not visited
if (bpGraph[u][v] && !seen[v])
{
seen[v] = true; // Mark v as visited
// If job 'v' is not assigned to an applicant OR
// previously assigned applicant for job v (which is matchR[v])
// has an alternate job available.
// Since v is marked as visited in the above line, matchR[v]
// in the following recursive call will not get job 'v' again
if (matchR[v] < 0 || bpm(bpGraph, matchR[v], seen, matchR))
{
matchR[v] = u;
return true;
}
}
}
return false;
}
// Returns maximum number of matching from M to N
int maxBPM(bool bpGraph[M][N])
{
// An array to keep track of the applicants assigned to
// jobs. The value of matchR[i] is the applicant number
// assigned to job i, the value -1 indicates nobody is
// assigned.
int matchR[N];
// Initially all jobs are available
memset(matchR, -1, sizeof(matchR));
int result = 0; // Count of jobs assigned to applicants
for (int u = 0; u < M; u++)
{
// Mark all jobs as not seen for next applicant.
bool seen[N];
memset(seen, 0, sizeof(seen));
// Find if the applicant 'u' can get a job
if (bpm(bpGraph, u, seen, matchR))
result++;
}
return result;
}
// Driver program to test above functions
int main()
{
// Let us create a bpGraph shown in the above example
bool bpGraph[M][N] = { {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}
};
cout << "Maximum number of applicants that can get job is "
<< maxBPM(bpGraph);
return 0;
}
Output:
Execute and get the output.
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