Codeforces 915F Imbalance Value of a Tree

Imbalance Value of a Tree

感觉这种题没啥营养， 排个序算算贡献就好啦。

#include<bits/stdc++.h>
#define LL long long
#define fi first
#define se second
#define mk make_pair
#define PLL pair<LL, LL>
#define PLI pair<LL, int>
#define PII pair<int, int>
#define SZ(x) ((int)x.size())
#define ull unsigned long long
 
using namespace std;
 
const int N = 1e6 + ;
const int inf = 0x3f3f3f3f;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int mod = 1e9 + ;
const double eps = 1e-;
const double PI = acos(-);
 
int n, id[N], a[N], fa[N], cnt[N];
LL ans;
vector<int> G[N];
 
int getRoot(int x) {
    return fa[x] == x ? x : fa[x] = getRoot(fa[x]);
}
 
bool cmp(const int& x, const int& y) {
    return a[x] < a[y];
}
 
int main() {
    scanf("%d", &n);
    for(int i = ; i <= n; i++) {
        scanf("%d", &a[i]);
        id[i] = i;
    }
    for(int i = ; i <= n; i++) {
        int u, v; scanf("%d%d", &u, &v);
        G[u].push_back(v);
        G[v].push_back(u);
    }
    sort(id + , id +  + n, cmp);
    for(int i = ; i <= n; i++) fa[i] = i, cnt[i] = ;
    for(int i = ; i <= n; i++) {
        int u = id[i];
        for(auto& v : G[u]) {
            if(a[u] > a[v] || (a[u] == a[v] && u > v)) {
                int x = getRoot(u);
                int y = getRoot(v);
                ans += 1ll * a[u] * cnt[x] * cnt[y];
                fa[y] = x;
                cnt[x] += cnt[y];
            }
        }
    }
    reverse(id + , id +  + n);
    for(int i = ; i <= n; i++) fa[i] = i, cnt[i] = ;
    for(int i = ; i <= n; i++) {
        int u = id[i];
        for(auto& v : G[u]) {
            if(a[u] < a[v] || (a[u] == a[v] && u > v)) {
                int x = getRoot(u);
                int y = getRoot(v);
                ans -= 1ll * a[u] * cnt[x] * cnt[y];
                fa[y] = x;
                cnt[x] += cnt[y];
            }
        }
    }
    printf("%lld\n", ans);
    return ;
}
 
/*
*/