[BOJ] 4196 도미노

도미노

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#include <bits/stdc++.h>

#define MAX_N 100001
#define ll long long
#define pll pair<ll, ll>
#define vpll vector<pll>
#define vll vector<ll>
#define vvll vector<vll>
#define all(a) begin(a), end(a)
using namespace std;

ll n, e;
bool vis1[MAX_N], vis2[MAX_N], vis3[MAX_N];
ll rep[MAX_N];
vll st;

void dfs1(ll u, vvll& adj) {
vis1[u] = true;
for(auto& v : adj[u])
if(!vis1[v])
dfs1(v, adj);
st.push_back(u);
}

void dfs2(ll u, ll r, vvll& radj) {
vis2[u] = true;
rep[u] = r;
for(auto& v : radj[u])
if(!vis2[v])
dfs2(v, r, radj);
}

ll solve(vpll& edges) {
vvll adj(n + 1), radj(n + 1);
memset(vis1, 0, sizeof(vis1));
memset(vis2, 0, sizeof(vis2));
memset(vis3, 0, sizeof(vis3));
memset(rep, 0, sizeof(rep));

for(auto& [u, v] : edges) {
adj[u].push_back(v);
radj[v].push_back(u);
}

for(ll i = 1; i <= n; i++)
if(!vis1[i])
dfs1(i, adj);

while(!st.empty()) {
auto u = st.back(); st.pop_back();
if(!vis2[u])
dfs2(u,u,radj);
}

ll res = 0;
unordered_set<ll> usll;
for(auto& [u, v] : edges) {
if(rep[u] == rep[v]) continue;
usll.insert(rep[v]);
}

for(ll i = 1; i <= n; i++) {
if(vis3[rep[i]]) continue;
vis3[rep[i]] = true;
if(!usll.count(rep[i]))
res++;
}

return res;
}

int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
ll tc;
cin>>tc;
while(tc--) {
cin>>n>>e;
ll u, v;
vpll edges;
while(e--) {
cin>>u>>v;
edges.push_back({u,v});
}
cout<<solve(edges)<<'\n';
}

return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/04/23/PS/BOJ/4196/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.