Submission #1254201

#TimeUsernameProblemLanguageResultExecution timeMemory
1254201rcllRobot (JOI21_ho_t4)C++20
100 / 100
590 ms79116 KiB
#include <bits/stdc++.h>
using namespace std;
#define ll long long

const ll INF=1e18;

struct Edge {
    int to,c;
    ll p;
};

map<int,vector<Edge>> graph[100001];
ll dp[100001];
map<int,ll> dp2[100001],psum[100001];

int main() {
    cin.tie(0)->sync_with_stdio(0);
    int n,m;
    cin >> n >> m;
    for (int i=1; i <= m; i++) {
        int u,v,c;
        ll p;
        cin >> u >> v >> c >> p;
        graph[u][c].push_back({v,c,p});
        graph[v][c].push_back({u,c,p});
        psum[u][c] += p;
        psum[v][c] += p;
    }
    memset(dp,0x3f,sizeof dp);
    dp[1]=0;
    priority_queue<tuple<ll,int,int>> pq;
    pq.push({0,1,0});
    while (pq.size()) {
        ll cost;
        int node,c;
        tie(cost,node,c)=pq.top();
        pq.pop();
        if (c) {
            if (dp2[node][c] != -cost) continue;
            for (Edge i : graph[node][c]) {
                ll case1=psum[node][c] - i.p;
                if (case1 - cost < dp[i.to]) {
                    dp[i.to]=case1 - cost;
                    pq.push({-dp[i.to],i.to,0});
                }
            }
        } else {
            if (dp[node] != -cost) continue;
            for (auto &i : graph[node]) {
                for (Edge j : i.second) {
                    ll case1=psum[node][j.c] - j.p - cost;
                    if (case1 < dp[j.to]) {
                        dp[j.to]=case1;
                        pq.push({-dp[j.to],j.to,0});
                    }
                    ll case2=j.p - cost;
                    if (case2 < dp[j.to]) {
                        dp[j.to]=case2;
                        pq.push({-dp[j.to],j.to,0});
                    }
                    ll case3=-cost;
                    if (!dp2[j.to].count(j.c) || case3 < dp2[j.to][j.c]) {
                        dp2[j.to][j.c]=case3;
                        pq.push({-dp2[j.to][j.c],j.to,j.c});
                    }
                }
            }
        }
    }
    cout << (dp[n] > INF ? -1 : dp[n]);
}
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