/*
Bismillahir Rahmanir Rahim
Dijkstra algorithm implementation(C++)
Shortest path for all nodes from given node
*/
#include<bits/stdc++.h>
#define fi(n, m) for(int i=n; i<=m; i++)
#define fd(n, m) for(int i=n; i>=m; i--)
using namespace std;
vector<int>vt[1009], cost[1009];
int dis[1009];
struct node{
int u, w;
node(int a, int b){
u=a, w=b;
}
bool operator < (const node & p)const{
return p.w<w;
}
};
void dijkstra(int st){
priority_queue<node>q;
memset(dis, 63, sizeof(dis));
dis[st]=0;
q.push(node(st, 0));
while(!q.empty()){
node top=q.top();
q.pop();
int u=top.u;
int sz=vt[u].size();
fi(0, sz-1){
int v=vt[u][i];
if(dis[u]+cost[u][i]<dis[v]){
dis[v]=dis[u]+cost[u][i];
q.push(node(v, dis[v]));
}
}
}
}
int main(){
int n, e, u, v, w, m;
cin>>n>>e;
while(e--){
cin>>u>>v>>w;
vt[u].push_back(v);
vt[v].push_back(u);
cost[u].push_back(w);
cost[v].push_back(w);
}
cin>>m; // from this node
dijkstra(m);
fi(1, n)cout<<m<<" to "<<i<<" = "<<dis[i]<<endl;
return 0;
}
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Thursday, February 23, 2017
Dijkstra Algorithm - Implementation with C++
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