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>
#define int long long
using namespace std;
vector<vector<int>> sons;
int n,s;
vector<int> vals;
vector<int> visited;
vector<int> parent;
vector<priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>>> needfuls;
set<pair<int,int>> set_conversion(priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> nv) {
set<pair<int,int>> S;
while (nv.size()) {
S.insert(nv.top()); nv.pop();
}
return S;
}
void dfs(int node) {
visited[node] = 1;
for (int j:sons[node]) {
dfs(j);
for (pair<int,int> k:set_conversion(needfuls[j])) {
needfuls[node].push(k);
}
}
int requirement,cursum;
cursum = vals[node];
if (vals[node]<0) {
requirement = -vals[node];
}
else {
requirement = 0;
}
while (needfuls[node].size() && cursum<0) {
pair<int,int> best = needfuls[node].top(); needfuls[node].pop();
requirement = max(requirement, best.first-cursum);
cursum+=best.second;
}
while (needfuls[node].size() && needfuls[node].top().first-cursum<=requirement) {
pair<int,int> best = needfuls[node].top(); needfuls[node].pop();
requirement = max(requirement, best.first-cursum);
cursum+=best.second;
}
if (cursum>0) {
needfuls[node].push({requirement,cursum});
}
}
signed main() {
#ifndef ONLINE_JUDGE
// for getting input from input.txt
//freopen("input.txt", "r", stdin);
// for writing output to output.txt
//freopen("output.txt", "w", stdout);
#endif
#ifdef ONLINE_JUDGE
ios_base::sync_with_stdio(false);
cin.tie(NULL);
#endif //fast IO
cin >> n >> s;
parent=vector<int>(n,-1);
sons=vector<vector<int>>(n);
vals=vector<int>(n);
visited=vector<int>(n,0);
needfuls=vector<priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>>>(n);
for (int i=0; i<n; i++) {
int val,prereq; cin >> val >> prereq; prereq--;
vals[i] = val;
if (prereq!=-1) {
sons[prereq].push_back(i);
}
}
priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> final_result;
for (int root=0; root<n; root++) {
if (!visited[root]) {
dfs(root);
for (auto j:set_conversion(needfuls[root])) {
final_result.push(j);
}
}
}
int cursum = s;
while (final_result.size()) {
pair<int,int> best = final_result.top(); final_result.pop();
//cout << best.first <<" " << best.second << endl;
if (best.first>cursum) break;
cursum+=best.second;
}
int proooooooooofit = cursum-s;
cout << proooooooooofit << endl;
}
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