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 fi first
#define se second
#define ll long long
#define mp(x, y) make_pair(x, y)
#define sz(v) ((int) (v).size())
#define all(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define BIT(x, y) (((x) >> (y)) & 1)
#define pb push_back
#define max_rng *max_element
#define min_rng *min_element
#define rep(i, n) for(int i = 1, _n = (n); i <= _n; ++i)
#define forn(i, a, b) for(int i = (a), _b = (b); i <= _b; ++i)
#define ford(i, a, b) for(int i = (a), _b = (b); i >= _b; --i)
#define heap priority_queue
template <class X, class Y>
inline bool maximize(X &x, Y y) {
return (x < y ? x = y, true : false);
}
template <class X, class Y>
inline bool minimize(X &x, Y y) {
return (x > y ? x = y, true : false);
}
template <class X>
inline void compress(vector<X> &a) {
sort(all(a));
a.resize(unique(all(a)) - a.begin());
}
int ctz(ll x) { return __builtin_ctzll(x); }
int lg(ll x) { return 63 - __builtin_clzll(x); }
int popcount(ll x) { return __builtin_popcount(x); }
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) {
return l + abs((ll) rng()) % (r - l + 1);
}
const ll oo = (ll) 1e17;
const int inf = (ll) 1e9 + 7, mod = (ll) 1e9 + 7;
const int N = 5e5 + 5;
void add(int &x, int y) { x += y; if (x >= mod) x -= mod; }
void sub(int &x, int y) { x -= y; if (x < 0) x += mod; }
int n; ll s;
ll cost[N], par[N];
heap<pair<ll, ll>, vector<pair<ll, ll>>, greater<pair<ll, ll>>> pq[N];
int main(void) {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n >> s;
rep(i, n) cin >> cost[i] >> par[i];
ford(i, n, 0) {
ll profit = cost[i];
ll min_start = max(0LL, -cost[i]);
while (sz(pq[i]) && profit <= 0) {
pair<ll, ll> top = pq[i].top(); pq[i].pop();
maximize(min_start, top.first - profit); profit += top.second;
}
while (sz(pq[i])) {
pair<ll, ll> top = pq[i].top();
if (top.first > min_start + profit) break;
profit += top.second;
pq[i].pop();
}
if (profit > 0) pq[i].push(mp(min_start, profit));
int p = par[i];
if (!i) continue;
if (sz(pq[p]) < sz(pq[i])) pq[p].swap(pq[i]);
while (sz(pq[i])) {
pq[p].push(pq[i].top());
pq[i].pop();
}
}
ll res = s;
while (sz(pq[0]) && pq[0].top().first <= res)
res += pq[0].top().second, pq[0].pop();
cout << res - s;
return 0;
}
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