This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 300300;
bool leaf[N];
vector<pair<int, int>> adj[N];
ll ansl[N], ansr[N], ans[N];
priority_queue<ll> l[N];
priority_queue<ll, vector<ll>, greater<ll>> r[N];
void dfs(int v, ll d) {
if (leaf[v]) {
ansl[v] = d;
ansr[v] = d;
return;
}
for (auto& [x, w] : adj[v]) {
dfs(x, d + w);
ans[v] += ans[x];
if (l[v].empty()) {
l[v].push(ansl[x]);
r[v].push(ansr[x]);
continue;
}
ll nowl = l[v].top(), nowr = r[v].top();
if (ansr[x] < nowl) {
ans[v] += nowl - ansr[x];
l[v].push(ansl[x]);
l[v].push(ansr[x]);
l[v].pop();
r[v].push(nowl);
}
else if (nowr < ansl[x]) {
ans[v] += ansl[x] - nowr;
r[v].push(ansl[x]);
r[v].push(ansr[x]);
r[v].pop();
l[v].push(nowr);
}
else {
l[v].push(ansl[x]);
r[v].push(ansr[x]);
}
}
ansl[v] = l[v].top();
ansr[v] = r[v].top();
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int n, m;
cin >> n >> m;
for (int i = 2;i <= n + m;i++) {
int p, c;
cin >> p >> c;
adj[p].push_back({ i, c });
if (i > n) leaf[i] = 1;
}
dfs(1, 0);
cout << ans[1] << '\n';
return 0;
}
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