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1123. [POI2008]BLO
https://hydro.ac/d/bzoj/record/6329c21479b7c59ccd1f3d9e
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BZOJ/1123/1123.cpp
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BZOJ/1123/1123.cpp
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#include <iostream>
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#include <utility>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e5 + 5;
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int n, m;
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long long ans[N];
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std::vector<int> g[N];
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int root, cnt, dfn[N], low[N], siz[N];
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bool cut[N];
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void tarjan(int u) {
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dfn[u] = low[u] = ++cnt;
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siz[u] = 1;
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bool flag = false;
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int sum = 0;
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for (int v : g[u]) {
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if (!dfn[v]) {
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tarjan(v);
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low[u] = std::min(low[u], low[v]);
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siz[u] += siz[v];
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if (dfn[u] <= low[v]) {
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if (u != root || flag) {
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cut[u] = true;
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sum += siz[v];
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ans[u] += static_cast<long long>(n - siz[v]) * siz[v];
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} else {
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flag = true;
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}
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}
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} else {
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low[u] = std::min(low[u], dfn[v]);
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}
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}
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if (cut[u]) {
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ans[u] += static_cast<long long>(n - sum - 1) * (sum + 1)
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+ n - 1;
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} else {
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ans[u] = 2 * (n - 1);
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}
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m;
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for (int i = 1, u, v; i <= m; i++) {
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cin >> u >> v;
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g[u].emplace_back(v);
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g[v].emplace_back(u);
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}
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for (int i = 1; i <= n; i++) {
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if (!dfn[i]) {
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root = i;
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tarjan(i);
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}
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}
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for (int i = 1; i <= n; i++) {
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cout << ans[i] << endl;
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}
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return 0;
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}
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