제출 #1274329

#제출 시각아이디문제언어결과실행 시간메모리
1274329quan606303Robot (JOI21_ho_t4)C++20
34 / 100
3092 ms45268 KiB
/*
 * @Author: RMQuan 
 * @Date: 2025-09-29 22:50:45 
 * @Last Modified by: RMQuan
 * @Last Modified time: 2025-09-30 06:20:22
 */
/*idea :
  
*/

#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 canh {
    int u,v,w,col;
};
vector<canh> adj[maxn];
int n,m;

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

struct node {
    int u,prev_col,dis;
};
struct cmp {
    bool operator()(const node &x,const node &y)const{
        return x.dis>y.dis;
    }
};

int cnt_w[maxn],cnt[maxn];

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,col,w;
        cin>>u>>v>>col>>w;
        adj[u].push_back({u,v,w,col});
        adj[v].push_back({v,u,w,col});
        avaiable_col[u].push_back(col);
        avaiable_col[v].push_back(col);
    }

    for(int i=1;i<=n;i++) {
        avaiable_col[i].push_back(-inf);
        sort(avaiable_col[i].begin(),avaiable_col[i].end());
        avaiable_col[i].erase(unique(avaiable_col[i].begin(),avaiable_col[i].end()),avaiable_col[i].end());
        int sz=avaiable_col[i].size();
        dis[i].assign(sz,inf);
        vst[i].assign(sz,0);
    }

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

    while(!q.empty()) {
        int u=q.top().u;
        int col=q.top().prev_col;
        int du=q.top().dis;
        q.pop();
        if(vst[u][col]) continue;
        vst[u][col]=true;

        for(auto &e:adj[u]) {
            cnt_w[e.col]+=e.w;
            cnt[e.col]++;
        }

        if(col==0) {
            for(int j=1;j<(int)avaiable_col[u].size();j++) {
                int c=avaiable_col[u][j];
                for(auto &e:adj[u]) if(e.col==c) {
                    int v=e.v;
                    if(cnt[c]<=1) {
                        if(dis[v][0]>du) {
                            dis[v][0]=du;
                            q.push({v,0,du});
                        }
                    } else {
                        int n_c=lower_bound(avaiable_col[v].begin(),avaiable_col[v].end(),c)-avaiable_col[v].begin();
                        if(dis[v][n_c]>du) {
                            dis[v][n_c]=du;
                            q.push({v,n_c,du});
                        }
                        if(dis[v][0]>du+e.w) {
                            dis[v][0]=du+e.w;
                            q.push({v,0,dis[v][0]});
                        }
                        if(dis[v][0]>du+cnt_w[c]-e.w) {
                            dis[v][0]=du+cnt_w[c]-e.w;
                            q.push({v,0,dis[v][0]});
                        }
                    }
                }
            }
        } else {
            int pv_col=avaiable_col[u][col];
            for(auto &e:adj[u]) if(e.col==pv_col) {
                int v=e.v;
                if(dis[v][0]>du+cnt_w[pv_col]-e.w) {
                    dis[v][0]=du+cnt_w[pv_col]-e.w;
                    q.push({v,0,dis[v][0]});
                }
            }
        }

        for(auto &e:adj[u]) {
            cnt_w[e.col]-=e.w;
            cnt[e.col]--;
        }
    }

    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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