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Floyd–Warshall's Algorithm.cpp
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60 lines (52 loc) · 1 KB
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/*
Floyd–Warshall's Algorithm
(Undirected)
Time Complexity: O(V^3)
*/
#include <bits/stdc++.h>
using namespace std;
#define int long long
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int N,M;
cin>>N>>M;
int dis[N+1][N+1];
for(int i = 0; i<=N; i++)
{
for(int j = 0; j<=N; j++)
{
if(i == j)
dis[i][j] = 0;
else
dis[i][j] = INT_MAX;
}
}
for(int m = 0; m<M; m++)
{
int u,v,w;
cin>>u>>v>>w;
dis[u][v] = min(dis[u][v], w);
dis[v][u] = dis[u][v];
}
for(int k = 1; k<=N; k++)
{
for(int i = 1; i<=N; i++)
{
for(int j = 1; j<=N; j++)
{
dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]);
}
}
}
for(int i = 1; i<=N; i++)
{
for(int j = 1; j<=N; j++)
{
cout<<dis[i][j]<<" ";
}
cout<<endl;
}
return 0;
}