AtCoder Beginner Contest 120 D - Decayed Bridges(并查集)

时间:2021-03-27 16:47:02

题目链接:https://atcoder.jp/contests/abc120/tasks/abc120_d

题意 先给m条边,然后按顺序慢慢删掉边,求每一次删掉之后有多少对(i,j)不连通(我应该解释对了吧)

删边这个过程就可以从反方向进行,相当于从m到1慢慢加边

然后就把连通的用并查集存起来,另用一个s数组来存每个点和他连通的有几个点

不连通的就减去s[i]*s[j]就好了

初始的是C(n,2) 没边的时候所有点都不连通嘛。

代码如下

#include <cstdio>
#include <cstring>
#include <algorithm>
#define ll long long
using namespace std; const int maxn = 1e5 + ;
pair<ll, ll> p[maxn];
ll par[maxn];
ll s[maxn];
ll sum;
ll ans[maxn];
ll find(ll x) { return par[x] == x ? x : par[x] = find(par[x]); } int main() {
ll n, m;
scanf("%lld%lld", &n, &m);
for (int i = ; i <= n; i++) {
par[i] = i;
s[i] = ;
}
for (int i = ; i < m; i++) {
scanf("%lld%lld", &p[i].first, &p[i].second);
}
sum = 1LL * n * (n - ) / ;
for (int i = m - ; i >= ; i--) {
ans[i] = sum;
int x = find(p[i].first), y = find(p[i].second);
if (x != y) {
par[y] = x;
sum -= s[x] * s[y];
s[x] += s[y];
}
}
for (int i = ; i < m; i++) printf("%lld\n", ans[i]);
return ;
}