제출 #1274325

#제출 시각아이디문제언어결과실행 시간메모리
1274325quan606303Robot (JOI21_ho_t4)C++20
100 / 100
516 ms82700 KiB
/*
 * @Author: RMQuan 
 * @Date: 2025-09-29 22:50:45 
 * @Last Modified by: RMQuan
 * @Last Modified time: 2025-09-30 05:25:33
 */

#include <bits/stdc++.h>
bool M1;
#define int long long
#define ll long long
#define fi first
#define se second
#define memfull(a,b) memset(a,b,sizeof(a));
#define endl '\n'
#define file(a) freopen(a".inp","r",stdin); freopen(a".out","w",stdout);
using namespace std;
const int maxn=2e5+7;
const int inf=1e18;

struct Edge {int to,w,col;};
struct Edge2 {int to,w;};

int n,m;
vector<Edge> adj[maxn];
vector<int> avaiable_col[maxn];

vector<vector<Edge2>> g[maxn];   
vector<vector<long long>> psum(maxn); 
vector<vector<int>> cntc(maxn);     

vector<int> dis[maxn];
vector<int> vst[maxn];

struct node {
    int u,idx,dist;
};
struct cmp {
    bool operator()(const node &a,const node &b) const {
        return a.dist>b.dist;
    }
};

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin>>n>>m;
    for(int i=1;i<=m;i++) {
        int u,v,c,w;
        cin>>u>>v>>c>>w;
        adj[u].push_back({v,w,c});
        adj[v].push_back({u,w,c});
        avaiable_col[u].push_back(c);
        avaiable_col[v].push_back(c);
    }

    for(int u=1;u<=n;u++) {
        avaiable_col[u].push_back(-inf);
        sort(avaiable_col[u].begin(),avaiable_col[u].end());
        avaiable_col[u].erase(unique(avaiable_col[u].begin(),avaiable_col[u].end()),avaiable_col[u].end());
        int sz=avaiable_col[u].size();

        dis[u].assign(sz,inf);
        vst[u].assign(sz,0);
        g[u].assign(sz,{});
        psum[u].assign(sz,0);
        cntc[u].assign(sz,0);

        for(auto &e:adj[u]) {
            int idx=lower_bound(avaiable_col[u].begin(),avaiable_col[u].end(),e.col)-avaiable_col[u].begin();
            g[u][idx].push_back({e.to,e.w});
            psum[u][idx]+=e.w;
            cntc[u][idx]++;
        }
    }

    priority_queue<node,vector<node>,cmp> pq;
    dis[1][0]=0;
    pq.push({1,0,0});

    while(!pq.empty()) {
        auto cur=pq.top(); pq.pop();
        int u=cur.u, idx=cur.idx;
        ll du=cur.dist;
        if(vst[u][idx]) continue;
        vst[u][idx]=true;

        if(idx==0) {
            for(int j=1;j<(int)avaiable_col[u].size();j++) {
                for(auto &e:g[u][j]) {
                    int v=e.to;
                    int cidx=lower_bound(avaiable_col[v].begin(),avaiable_col[v].end(),avaiable_col[u][j])-avaiable_col[v].begin();

                    if(cntc[u][j]<=1) {
                        if(dis[v][0]>du) {
                            dis[v][0]=du;
                            pq.push({v,0,du});
                        }
                    } else {
                        if(dis[v][cidx]>du) {
                            dis[v][cidx]=du;
                            pq.push({v,cidx,du});
                        }
                        if(dis[v][0]>du+e.w) {
                            dis[v][0]=du+e.w;
                            pq.push({v,0,dis[v][0]});
                        }
                        if(dis[v][0]>du+psum[u][j]-e.w) {
                            dis[v][0]=du+psum[u][j]-e.w;
                            pq.push({v,0,dis[v][0]});
                        }
                    }
                }
            }
        } else {
            for(auto &e:g[u][idx]) {
                int v=e.to;
                if(dis[v][0]>du+psum[u][idx]-e.w) {
                    dis[v][0]=du+psum[u][idx]-e.w;
                    pq.push({v,0,dis[v][0]});
                }
            }
        }
    }

    cout<<(dis[n][0]==inf?-1:dis[n][0])<<endl;

    bool M2;
    cerr<<"-------------------------------------------------\n";
    cerr<<"Time : "<<clock()<<" ms\n";
    cerr<<"Memory : "<<abs(&M2-&M1)/1024/1024<<" MB\n";
    cerr<<"-------------------------------------------------\n";
    return 0;
}
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