➤ Problem Link : 144D. Missile Silos
✅ C++ Solution :
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define pp pair<ll,ll>
#define mp make_pair
ll n,m,s;
vector<pp> adj[200001];
ll dis[200001];
int main()
{
ll u,v,w,l;
cin>>n>>m>>s;
for(int i=1;i<=n;i++)
{
adj[i].clear();
dis[i]=100000000;
}
for(int i=1;i<=m;i++)
{
cin>>u>>v>>w;
adj[u].push_back(mp(w,v));
adj[v].push_back(mp(w,u));
}
cin>>l;
dis[s]=0;
priority_queue<pp,vector<pp>,greater<pp> > pq;
pq.push(mp(0,s));
pp p;
while(!pq.empty())
{
p=pq.top();
pq.pop();
for(int i=0;i<adj[p.second].size();i++)
{
if(dis[adj[p.second][i].second] > dis[p.second] + adj[p.second][i].first)
{
dis[adj[p.second][i].second] = dis[p.second] + adj[p.second][i].first;
pq.push(mp(dis[adj[p.second][i].second],adj[p.second][i].second));
}
}
}
int ans1=0,ans2=0,len,d;
for(int i=1;i<=n;i++)
{
if(dis[i]>l)
continue;
if(dis[i]==l)
ans1++;
else
{
for(int j=0;j<adj[i].size();j++)
{
len=adj[i][j].first;
v=adj[i][j].second;
d=l-dis[i];
if(d < len)
{
if(dis[v]+len-d > l)
ans1++;
else if(dis[v]+len-d == l)
ans2++;
}
}
}
}
cout<<ans1+ans2/2;
}
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