Shortest Routes I
Hard C++
Key Idea: Solution implementation
Solution
#include <bits/stdc++.h>
using namespace std;
//author: von_Braun
#define ll long long
#define lli long long int
#define pb push_back
#define rep(var, start, num) for(ulli var = start; var <start + num; var++)
#define all(x) x.begin(), x.end()
#define ulli unsigned long long int
#define ull unsigned long long
bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b) { return (a.second < b.second); }
void solve() {
ll int n,m;
ll int a,b,c;
cin>>n>>m;
vector<pair<ll int, ll int>> adj[n+1];
rep(i,0,m) {
cin>>a>>b>>c;
adj[a].pb({b,c});
}
priority_queue<pair<ll int,ll int>, vector<pair<ll int,ll int>>, greater<pair<ll int,ll int>>> pq;
pq.push({0,1});
lli dist[n+1];
for(int i = 1;i<=n;i++) {dist[i] = INT64_MAX;}
dist[1] = 0;
while(!pq.empty()) {
pair<ll int,ll int> cur = pq.top();
ll int curnode = cur.second;
ll int curdis = cur.first;
pq.pop();
if (curdis > dist[curnode]) continue;
for(auto x:adj[curnode]) {
ll int destnode = x.first;
ll int edist = x.second;
if (dist[destnode] > curdis + edist) {
dist[destnode] = curdis + edist;
pq.push({curdis + edist, destnode});
}
}
}
for(ll int i = 1;i<=n;i++) {
cout<<dist[i]<<" ";
}
cout<<endl;
}
int main() {
//add quotes incase input output file
//freopen(input.txt,r,stdin);
//freopen(output.txt,w,stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc = 1;
// cin >> tc;
for (int t = 1; t <= tc; t++) {
solve();
}
}