Submission #1277345

#TimeUsernameProblemLanguageResultExecution timeMemory
1277345nanaseyuzukiRobot (JOI21_ho_t4)C++20
34 / 100
3096 ms84136 KiB
#include <bits/stdc++.h>
// Author: Kazuki_Will_Win_VOI_8703 
#define fi first
#define se second
#define pii pair<int, int>
#define int long long
#define all(a) a.begin(), a.end()
using namespace std;

const int mn = 1e5 + 5, inf = 1e18;

int n, m, d[mn], cnt[mn], sum[mn];
vector <tuple<int, int, int>> a[mn];

void solve(){
    cin >> n >> m;
    for(int i = 1; i <= m; i++){
        int u, v, c, p; cin >> u >> v >> c >> p;
        a[u].push_back({v, c, p});
        a[v].push_back({u, c, p});
    }
    fill(d, d + mn, inf);
    fill(cnt, cnt + mn, inf);
    priority_queue<pii, vector<pii>, greater<pii>> pq;
    d[1] = 0;
    pq.push({d[1], 1});
    
    while(pq.size()){
        auto [cc, u] = pq.top();
        pq.pop();
        if(cc > d[u]) continue;
        for(auto [v, c, p] : a[u]){
            cnt[c] = min(cnt[c], d[v]);
            sum[c] += p;
        }
        for(auto [v, c, p] : a[u]){
            if(d[v] > min(d[u] + min(p, sum[c] - p), cnt[c] + sum[c] - p)){
                d[v] = min(d[u] + min(p, sum[c] - p), cnt[c] + sum[c] - p);
                pq.push({d[v], v});
            }
        }
        for(auto [v, c, p] : a[u]){
            cnt[c] = inf;
            sum[c] = 0;
        }
    }
    if(d[n] == inf) d[n] = -1;
    cout << d[n] << '\n';
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    int t = 1;
    // cin >> t;
    while(t--) solve();
}
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