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91 changes: 91 additions & 0 deletions Travelingsakesman.cpp
Original file line number Diff line number Diff line change
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// CPP program to implement traveling salesman
// problem using naive approach.
#include <bits/stdc++.h>

using namespace std;
#define V 4


// implementation of traveling Salesman Problem

int travllingSalesmanProblem(int graph[][V], int s)
{

// store all vertex apart from source vertex

vector<int> vertex;

for (int i = 0; i < V; i++)

if (i != s)

vertex.push_back(i);



// store minimum weight Hamiltonian Cycle.

int min_path = INT_MAX;

do {



// store current Path weight(cost)

int current_pathweight = 0;



// compute current path weight

int k = s;

for (int i = 0; i < vertex.size(); i++) {

current_pathweight += graph[k][vertex[i]];

k = vertex[i];

}

current_pathweight += graph[k][s];



// update minimum

min_path = min(min_path, current_pathweight);



} while (next_permutation(vertex.begin(), vertex.end()));



return min_path;
}


// driver program to test above function

int main()
{

// matrix representation of graph

int graph[][V] = { { 0, 10, 15, 20 },

{ 10, 0, 35, 25 },

{ 15, 35, 0, 30 },

{ 20, 25, 30, 0 } };

int s = 0;

cout << travllingSalesmanProblem(graph, s) << endl;

return 0;
}