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F - Endless Walk

https://atcoder.jp/contests/abc245/submissions/30471110
This commit is contained in:
Baoshuo Ren 2022-03-26 21:15:06 +08:00
parent 5c6ddf1cf7
commit 535a44eefa
Signed by: baoshuo
GPG Key ID: 70F90A673FB1AB68

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AtCoder/ABC245/F/F.cpp Normal file
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#include <cstring>
#include <iostream>
#include <stack>
#include <vector>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 2e5 + 5;
int n, m, t[N], ans;
std::vector<int> g[N], g2[N];
// Tarjan
int cnt, dfn[N], low[N];
int scc_cnt, id[N], siz[N];
int dout[N], din[N];
bool vis[N];
std::stack<int> st;
void tarjan(int u) {
dfn[u] = low[u] = ++cnt;
st.push(u);
vis[u] = true;
for (int v : g[u]) {
if (!dfn[v]) {
tarjan(v);
low[u] = std::min(low[u], low[v]);
} else if (vis[v]) {
low[u] = std::min(low[u], dfn[v]);
}
}
if (dfn[u] == low[u]) {
scc_cnt++;
int v;
do {
v = st.top();
st.pop();
vis[v] = false;
id[v] = scc_cnt;
siz[scc_cnt]++;
} while (v != u);
}
}
void dfs(int u) {
for (int v : g2[u]) {
if (t[v] == -1) dfs(v);
if (t[v] == 1 || siz[u] > 1) t[u] = 1;
}
if (siz[u] > 1) t[u] = 1;
if (t[u] == -1) t[u] = 0;
}
int main() {
std::ios::sync_with_stdio(false);
memset(t, 0xff, sizeof(t));
cin >> n >> m;
for (int i = 1, u, v; i <= m; i++) {
cin >> u >> v;
g[u].push_back(v);
}
for (int i = 1; i <= n; i++) {
if (!dfn[i]) {
tarjan(i);
}
}
for (int i = 1; i <= n; i++) {
for (int v : g[i]) {
if (id[v] != id[i]) {
din[id[v]]++;
g2[id[i]].push_back(id[v]);
}
}
}
for (int i = 1; i <= scc_cnt; i++) {
if (!din[i]) dfs(i);
}
for (int i = 1; i <= scc_cnt; i++) {
if (t[i] == 1) ans += siz[i];
}
cout << ans << endl;
return 0;
}