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OI-codes/S2OJ/1506/1506.cpp

96 lines
1.8 KiB
C++

#include <iostream>
#include <stack>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 205;
int n, ans;
bool g[N][N], g2[N][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 i = 1; i <= n; i++) {
if (!g[u][i]) continue;
if (!dfn[i]) {
tarjan(i);
low[u] = std::min(low[u], low[i]);
} else if (vis[i]) {
low[u] = std::min(low[u], dfn[i]);
}
}
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);
if (siz[scc_cnt] > 1) ans += siz[scc_cnt];
}
}
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
cin >> g[i][j];
}
}
for (int i = 1; i <= n; i++) {
if (!dfn[i]) tarjan(i);
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
if (g[i][j] && id[i] != id[j]) {
g2[id[i]][id[j]] = true;
}
}
}
for (int i = 1; i <= scc_cnt; i++) {
for (int j = 1; j <= scc_cnt; j++) {
for (int k = 1; k <= scc_cnt; k++) {
if (i != j && j != k && g2[i][k] && g2[k][j]) {
g2[i][j] = false;
}
}
}
}
for (int i = 1; i <= scc_cnt; i++) {
for (int j = 1; j <= scc_cnt; j++) {
if (g2[i][j]) ans++;
}
}
cout << ans << endl;
return 0;
}