제출 #961664

#제출 시각아이디문제언어결과실행 시간메모리
961664happy_nodeRobot (JOI21_ho_t4)C++17
24 / 100
910 ms111752 KiB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int MX=4e5+5;
int N,M;
ll dist[MX];
vector<array<int,3>> adj[MX];

map<int,int> id[MX];
map<int,ll> sum[MX];
int rev[MX];

int main() {
	cin.tie(0); ios_base::sync_with_stdio(0);

	cin>>N>>M;

	priority_queue<pair<ll,ll>> pq;
	int z=N+1;
	for(int i=1;i<=M;i++) {
		int a,b,c,p;
		cin>>a>>b>>c>>p;
		sum[a][c]+=p;
		sum[b][c]+=p;
		if(!id[b].count(c)) {
			rev[z]=b;
			id[b][c]=z++;
		}
		if(!id[a].count(c)) {
			rev[z]=a;
			id[a][c]=z++;
		}
		adj[a].push_back({b,c,p});
		adj[b].push_back({a,c,p});
		adj[id[a][c]].push_back({b,c,p});
		adj[b].push_back({id[a][c],c,p});
		adj[id[b][c]].push_back({a,c,p});
		adj[a].push_back({id[b][c],c,p});
		adj[id[a][c]].push_back({id[b][c],c,p});
		adj[id[b][c]].push_back({id[a][c],c,p});
	}

	for(int i=1;i<z;i++) {
		dist[i]=1e18;
	}

	pq.push({0,1});
	dist[1]=0;
	while(!pq.empty()) {
		auto [d,v]=pq.top(); pq.pop();
		d=-d;
		if(d>dist[v]) continue;

		for(auto [u,c,p]:adj[v]) {
			if(dist[u]>dist[v]+p) {
				dist[u]=dist[v]+p;
				pq.push({-dist[u],u});
			}	
		}

		if(v>N) {
			for(auto [u,c,p]:adj[v]) {
				if(u>N) {
					ll cost=sum[rev[v]][c]-p;
					if(dist[u]>dist[v]+cost) {
						dist[u]=dist[v]+cost;
						pq.push({-dist[u],u});
					}
				} else {
					if(adj[v].size()<=4&&dist[u]>dist[v]) {
						dist[u]=dist[v];
						pq.push({-dist[u],u});
					}
				}	
			}
			if(dist[rev[v]]>dist[v]) {
				dist[rev[v]]=dist[v];
				pq.push({-dist[rev[v]],rev[v]});
			}
		} else {
			for(auto [u,c,p]:adj[v]) {
				if(u>N) {
					if(dist[u]>dist[v]+p) {
						dist[u]=dist[v]+p;
						pq.push({-dist[u],u});
					}
				} else {
					ll cost=sum[v][c]-p;
					if(dist[u]>dist[v]+cost) {
						dist[u]=dist[v]+cost;
						pq.push({-dist[u],u});
					}
				}	
			}
		}
	}

	cout<<(dist[N]==1e18?-1:dist[N])<<'\n';
}
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