割点
首先 tarjan 求割点,
对于不是割点的点, 答案是 2 * (n-1) 有序,所以要乘 2
对于是割点的点, 答案是删去该点后所有连通块的个数加上 n-1 在乘 2
#include <iostream>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <algorithm>
#define ll long long
using namespace std;
const int MAXN = 1000005;
ll ans[MAXN];
int head[MAXN], n, m, nume, dfn[MAXN], low[MAXN], ind, siz[MAXN];
bool f[MAXN];
struct edge{
int to, nxt;
}e[MAXN];
void adde(int from, int to) {
e[++nume].to = to;
e[nume].nxt = head[from];
head[from] = nume;
}
int init() {
int rv = 0, fh = 1;
char c = getchar();
while(c < '0' || c > '9') {
if(c == '-') fh = -1;
c = getchar();
}
while(c >= '0' && c <= '9') {
rv = (rv<<1) + (rv<<3) + c - '0';
c = getchar();
}
return fh * rv;
}
void tarjan(int u) {
dfn[u] = low[u] = ++ind;siz[u] = 1;
int flag = 0, sum = 0;
for(int i = head[u]; i; i = e[i].nxt) {
int v = e[i].to;
if(!dfn[v]) {
tarjan(v);
siz[u] += siz[v];
low[u] = min(low[u], low[v]);
if(low[v] >= dfn[u]) {
flag++;
ans[u] += (ll) siz[v] * (n - siz[v]);
sum += siz[v];
if(u != 1 || flag > 1) {
f[u] = 1;
}
}
}else low[u] = min(low[u], dfn[v]);
}
if(f[u]) ans[u] += (ll) (n - sum - 1) * (sum + 1) + n - 1;
else ans[u] = 2 * n - 2;
}
int main() {
n = init(); m = init();
for(int i = 1; i <= m; i++) {
int u = init(), v = init();
if(u == v) continue;
adde(u, v); adde(v, u);
}
tarjan(1);
for(int i = 1; i <= n; i++) printf("%lld
", ans[i]);
return 0;
}