floyd_warshall.cpp

#include<bits/stdc++.h>
using namespace std;
void floyd_warshall(int arr[][5]) {
	int i, j, k;
	//Add all vertex one by one
	for (k = 0; k < 5; k++) {
		//pick all as a source
		for (i = 0; i < 5; i++) {
			//pick all as a destination
			for (j = 0; j < 5; j++) {
				if ((arr[i][k] * arr[k][j] != 0) && (i != j)) {
					//If vertex k is on the shortest path from
					// i to j, then update the value of arr[i][j]
					if ((arr[i][k] + arr[k][j] < arr[i][j]) || (arr[i][j] == 0)) {
						arr[i][j] = arr[i][k] + arr[k][j];
					}
				}
			}
		}
	}
	//function to print solution
	cout << "\nOUTPUT" << endl;
	for (i = 0; i < 5; i++) {
		cout << "\nMinimum Cost for Node: " << i << endl;
		for (j = 0; j < 5; j++) {
			cout << arr[i][j] << "\t";
		}
	}
}
//Main function began
int main() {
	int a[5][5];
	//Enter values
	cout << "Enter values for matrix-\n\n";
	for (int i = 0; i < 5; i++) {
		cout << "Enter values for " << (i + 1) << " row :" << endl;
		for (int j = 0; j < 5; j++) {
			cin >> a[i][j];
		}
	}
	// call the floyd function
	floyd_waeshall(a);
}
//main function ends

/*
Sample Input Output:
Enter values for matrix-

Enter values for 1 row :
0
3
6
0
0
Enter values for 2 row :
3
0
2
4
0
Enter values for 3 row :
6
2
0
1
4
Enter values for 4 row :
0
4
1
0
2
Enter values for 5 row :
0
0
4
2
0

OUTPUT:
Minimum Cost for Node: 0
0	3	5	6	8
Minimum Cost for Node: 1
3	0	2	3	5
Minimum Cost for Node: 2
5	2	0	1	3
Minimum Cost for Node: 3
6	3	1	0	2
Minimum Cost for Node: 4
8	5	3	2	0

Time Complexity :O(N^3)
*/