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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
refs:
edi
*/
const int MOD = 1e9 + 7;
const int N = 3e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
struct S{
ll d,s;
S(ll d_, ll s_){
d = d_, s = s_;
}
bool operator<(const S& f) const{
bool g1 = s >= d;
bool g2 = f.s >= f.d;
if(g1 != g2) return g1 > g2;
if(g1){
return d < f.d;
}
else{
return s > f.s;
}
}
bool operator>(const S& f) const{
bool g1 = s >= d;
bool g2 = f.s >= f.d;
if(g1 != g2) return g1 < g2;
if(g1){
return d > f.d;
}
else{
return s < f.s;
}
}
};
S merge(S &x, S &y){
auto [d1,s1] = x;
auto [d2,s2] = y;
ll d3 = max(d1,d1-s1+d2);
ll s3 = -d1+s1-d2+s2;
return S(d3,s3+d3);
}
vector<ll> a(N);
vector<ll> adj[N];
priority_queue<S,vector<S>,greater<S>> pq[N];
void dfs1(ll u){
trav(v,adj[u]){
dfs1(v);
}
trav(v,adj[u]){
if(sz(pq[u]) < sz(pq[v])){
swap(pq[u],pq[v]);
}
while(!pq[v].empty()){
pq[u].push(pq[v].top());
pq[v].pop();
}
}
ll d = max(-a[u],0ll);
S curr(d,a[u]+d);
while(!pq[u].empty()){
auto tp = pq[u].top();
if(curr < tp) break;
pq[u].pop();
curr = merge(curr,tp);
}
pq[u].push(curr);
// debug(u);
// auto tmp = pq[u];
// while(!tmp.empty()){
// auto [d,s] = tmp.top();
// debug(d,s);
// tmp.pop();
// }
// cout << endl;
}
void solve(int test_case)
{
ll n,m; cin >> n >> m;
rep1(i,n){
ll x,p; cin >> x >> p;
a[i] = x;
adj[p].pb(i);
}
dfs1(0);
ll om = m;
ll ans = 0;
while(!pq[0].empty()){
auto [d,s] = pq[0].top();
pq[0].pop();
if(m-d >= 0){
m -= d;
m += s;
amax(ans,m);
}
}
ans -= om;
amax(ans,0ll);
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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