This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <vector>
#include <queue>
#include <algorithm>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
#define pb push_back
#define mp make_pair
const int MAXN = 1e5 + 7;
const int INF = 1e9 + 7;
vector<ll> adj[MAXN], wt[MAXN];
ll dis[MAXN];
int main(){
int n, m;
cin >> n >> m;
for(int i = 0; i < m; i++){
int x, y, z;
cin >> x >> y >> z;
adj[y].pb(x);
wt[x].pb(z);
}
for(int i = 1; i <= n; i++)
sort(wt[i].begin(), wt[i].end());
for(int i = 1; i <= n; i++)
dis[i] = INF;
priority_queue<pll , vector<pll>, greater<pll> > q;
q.push(mp(0, n));
dis[n] = 0;
while(!q.empty()){
pll x = q.top();
q.pop();
ll d = x.first, u = x.second;
if(d <= dis[u]){
for(auto v : adj[u]){
ll temp = wt[v].back();
wt[v].pop_back();
if(dis[v] > d){
dis[v] = d + temp;
q.push(mp(dis[v], v));
}
}
}
}
cout << dis[1] << endl;
return 0;
}
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