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;
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) static_cast<int>((x).size())
template<class T, size_t D>
struct vec : vector<vec<T, D - 1>> {
template<class... Args>
vec(size_t n = 0, Args... args)
: vector<vec<T, D - 1>>(n, vec<T, D - 1>(args...)) {}
};
template<class T>
struct vec<T, 1> : vector<T> {
template<class... Args>
vec(Args... args)
: vector<T>(args...) {}
};
template<class T>
inline bool Minimize(T& a, const T& b) { return a > b ? a = b, true : false; }
template<class T>
inline bool Maximize(T& a, const T& b) { return a < b ? a = b, true : false; }
inline int Next(int i, int n) { return i == n - 1 ? 0 : i + 1; }
inline int Prev(int i, int n) { return !i ? n - 1 : i - 1; }
mt19937 rng(static_cast<uint32_t>(chrono::steady_clock::now().time_since_epoch().count()));
struct Function {
int64_t a, b;
priority_queue<int64_t>* slope_changing_points;
Function()
: a(0),
b(0),
slope_changing_points(new priority_queue<int64_t>()) {}
Function& operator+=(Function& o) {
a += o.a;
b += o.b;
if (slope_changing_points->size() < o.slope_changing_points->size()) {
swap(slope_changing_points, o.slope_changing_points);
}
while (o.slope_changing_points->size()) {
slope_changing_points->emplace(o.slope_changing_points->top());
o.slope_changing_points->pop();
}
return *this;
}
};
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int n_junctions, n_explosives; cin >> n_junctions >> n_explosives;
vec<int, 1> parents(n_junctions + n_explosives, -1), parent_edges(n_junctions + n_explosives);
for (int i = 1; i < n_junctions + n_explosives; ++i) {
cin >> parents[i] >> parent_edges[i]; --parents[i];
}
vec<Function, 1> functions(n_junctions + n_explosives);
for (int i = n_junctions; i < n_junctions + n_explosives; ++i) {
functions[i].a = 1;
functions[i].b = -parent_edges[i];
functions[i].slope_changing_points->emplace(parent_edges[i]);
functions[i].slope_changing_points->emplace(parent_edges[i]);
functions[parents[i]] += functions[i];
}
for (int i = n_junctions - 1; i; --i) {
while (functions[i].a > 1) {
--functions[i].a;
functions[i].b += functions[i].slope_changing_points->top();
functions[i].slope_changing_points->pop();
}
functions[i].b -= parent_edges[i];
auto tmp_1 = functions[i].slope_changing_points->top(); functions[i].slope_changing_points->pop();
auto tmp_2 = functions[i].slope_changing_points->top(); functions[i].slope_changing_points->pop();
functions[i].slope_changing_points->emplace(tmp_1 + parent_edges[i]);
functions[i].slope_changing_points->emplace(tmp_2 + parent_edges[i]);
functions[parents[i]] += functions[i];
}
while (functions[0].a) {
--functions[0].a;
functions[0].b += functions[0].slope_changing_points->top();
functions[0].slope_changing_points->pop();
}
cout << functions[0].b << '\n';
return 0;
}
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