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 <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = a; i <= b; i++)
#define FORD(i, a, b) for (int i = b; i >= a; i --)
#define REP(i, n) for (int i = 0; i < n; ++i)
#define REPD(i, n) for (int i = n - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void setupIO(){
#define name "Whisper"
//Phu Trong from Nguyen Tat Thanh High School for gifted student
srand(time(NULL));
cin.tie(nullptr)->sync_with_stdio(false); cout.tie(nullptr);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
cout << fixed << setprecision(10);
}
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
const int MAX = 2e5 + 5;
int numNode, numEdge;
vector<int> G[MAX];
priority_queue<int> cost[MAX];
int vis[MAX], F[MAX];
void Whisper(){
cin >> numNode >> numEdge;
for (int i = 1; i <= numEdge; ++i){
int u, v, w; cin >> u >> v >> w;
G[v].emplace_back(u);
cost[u].push(w);
}
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q;
q.emplace(0, numNode);
memset(F, 0x3f, sizeof F);
F[numNode] = 0;
//greedy we match the minimum path with the maximum edge
while (!q.empty()){
int u, du; tie(du, u) = q.top(); q.pop();
if(vis[u]) continue;
vis[u] = 1;
for (int&v : G[u]) {
int w = cost[v].top(); cost[v].pop();
if(minimize(F[v], F[u] + w)){
q.emplace(F[v], v);
}
}
}
cout << F[1];
}
signed main(){
setupIO();
int Test = 1;
// cin >> Test;
for ( int i = 1 ; i <= Test ; i++ ){
Whisper();
if (i < Test) cout << '\n';
}
}
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