제출 #1299084

#제출 시각아이디문제언어결과실행 시간메모리
1299084nguyenkhangninh99Love Polygon (BOI18_polygon)C++20
100 / 100
160 ms23056 KiB
#include<bits/stdc++.h>
using namespace std;

#define int long long
const int maxn = 1e5 + 5;
vector<int> rev[maxn];
int par[maxn], deg[maxn], vis[maxn], match[maxn], ans;

void dfs(int u){
    vis[u] = 1;
    for(int v: rev[u]){
        if(vis[v] || v == u || deg[v] > 0) continue;
        dfs(v);
        if(!match[v] && !match[u]){
            match[u] = match[v] = 1;
            ans++;
        }
    }
}

void dfscycle(int u){
    vis[u] = 1;
    for(int v: rev[u]){
        if(deg[v] == 0) continue;
        if(!vis[v]) dfscycle(v);
        if(!match[v] && !match[u]){
            match[u] = match[v] = 1;
            ans++;
        }
    }
}

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

    int n; cin >> n;
    if(n & 1){
        cout << -1;
        return 0;
    }

    map<string, int> mp;
    int id = 1;
    for(int i = 1; i <= n; i++){
        string s, t; cin >> s >> t;
        if(!mp.count(s)) mp[s] = id++;
        if(!mp.count(t)) mp[t] = id++;
        int u = mp[s], v = mp[t];
        par[u] = v;
        rev[v].push_back(u);
        deg[v]++;
    }

    queue<int> q;
    for(int i = 1; i <= n; i++) if(!deg[i]) q.push(i);
    while(q.size()){
        int u = q.front(); q.pop();
        int v = par[u];
        deg[v]--;
        if(!deg[v]) q.push(v);
    }

    for(int i = 1; i <= n; i++){
        if(!deg[i]) continue;
        if(par[i] > i && par[par[i]] == i){//cycle size 2
            match[i] = match[par[i]] = 1;
            vis[i] = vis[par[i]] = 1;
            dfs(par[i]);
        }
        dfs(i);
    }

    memset(vis, 0, sizeof(vis));
    for(int i = 1; i <= n; i++) if(deg[i] && !vis[i] && match[i]) dfscycle(i);
    for(int i = 1; i <= n; i++) if(deg[i] && !vis[i]) dfscycle(i);

    for(int i = 1; i <= n; i++) ans += !match[i];
    cout << ans;
}
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...