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;
template<class F>
struct y_combinator_result{
F f;
template<class T> explicit y_combinator_result(T &&f): f(forward<T>(f)){ }
template<class ...Args> decltype(auto) operator()(Args &&...args){ return f(ref(*this), forward<Args>(args)...); }
};
template<class F>
decltype(auto) y_combinator(F &&f){
return y_combinator_result<decay_t<F>>(forward<F>(f));
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(ios::badbit | ios::failbit);
int n, m;
cin >> n >> m;
vector<vector<int>> adj(n + m);
vector<int> par_w(n + m);
for(auto u = 1; u < n + m; ++ u){
int p;
cin >> p >> par_w[u], -- p;
adj[p].push_back(u);
}
auto res = y_combinator([&](auto self, int u)->pair<pair<int, long long>, priority_queue<long long>>{
pair<int, long long> line{};
priority_queue<long long> pq;
if(u >= n){
line = {1, -par_w[u]};
pq = priority_queue<long long>{{}, vector<long long>(2, par_w[u])};
}
else{
for(auto v: adj[u]){
auto [line_v, pq_v] = self(v);
line.first += line_v.first, line.second += line_v.second;
if((int)pq.size() < (int)pq_v.size()){
swap(pq, pq_v);
}
while(!pq_v.empty()){
pq.push(pq_v.top());
pq_v.pop();
}
}
while(line.first > 1){
-- line.first;
line.second += pq.top();
pq.pop();
}
array<int, 2> store{};
for(auto rep = 0; rep < 2; ++ rep){
store[rep] = pq.top() + par_w[u];
pq.pop();
}
for(auto x: store){
pq.push(x);
}
line.second -= par_w[u];
}
return {line, pq};
})(0);
cout << 1LL * res.first.first * res.second.top() + res.first.second << "\n";
return 0;
}
/*
*/
////////////////////////////////////////////////////////////////////////////////////////
// //
// Coded by Aeren //
// //
////////////////////////////////////////////////////////////////////////////////////////
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