HIGHWAYS - Highways - SPOJ Solution C++

  Problem Link : HIGHWAYS 


👉 Hint : Find shortest path in graph (Djikstra)

 


✅ C++ Solution :

 
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
vector<pair<ll,ll> >adj[100001];
    
ll djikstra(ll src,ll end,ll n)
{
    set<pair<ll,ll> >s;
    s.insert(make_pair(0,src));
    ll dis[n+1];
    for(ll i=0;i<=n;i++)
        dis[i]=INT_MAX;
    dis[src]=0;
    while(!s.empty())
    {
        pair<ll,ll>p=*(s.begin());
        s.erase(s.begin());
        ll v=p.second;
        vector<pair<ll,ll> > :: iterator i;
        for(i=adj[v].begin();i!=adj[v].end();i++)
        {
            ll ind=(*i).first;
            ll time=(*i).second;
            if(dis[ind]>dis[v]+time)
            {
                if(dis[ind]!=INT_MAX)
                {
                
                    s.erase(s.find(make_pair(dis[ind],ind)));
                }
                dis[ind]=dis[v]+time;
                s.insert(make_pair(dis[v]+time,ind));
 
            }
        }
    }
    if(dis[end]!=INT_MAX)
        return dis[end];
    return -1;
 
}
 
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int t;
    cin>>t;
    while(t--)
    {
        ll n,m,a,b,x,y,t;
        cin>>n>>m>>a>>b;
        for(ll i=0;i<=n;i++)
            adj[i].clear();
        for(ll i=0;i<m;i++)
        {
            cin>>x>>y>>t;
            adj[x].push_back(make_pair(y,t));
            adj[y].push_back(make_pair(x,t));
        }
        ll ans=djikstra(a,b,n);
        if(ans==-1)
            cout<<"NONE"<<endl;
        else
            cout<<ans<<endl;
    }
} 

 

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