This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
Mayoeba Yabureru
*/
#include<bits/stdc++.h>
using namespace std;
void solve() {
    long long n, s, ans = 0;
    cin >> n >> s;
    vector<long long> x(n + 1), dp(n + 1);
    vector<int> p(n + 1), st, stt;
    vector<vector<int>> gr(n + 1);
    for (int i = 1; i <= n; i ++) {
        cin >> x[i] >> p[i];
        if (p[i] == 0) st.push_back(i);
        else gr[p[i]].push_back(i);
    }
    set<pair<pair<long long, long long>, pair<int, int>>> ss;
    long long sum = 0;
    function<void(int)> go = [&] (int v) {
        sum += x[v];
        if (sum < 0 && -sum > s) {
            sum -= x[v];
            return;
        }
        dp[v] = x[v];
        for (auto u : gr[v]) {
            go(u);
            dp[v] += dp[u];
        }
        dp[v] = max(dp[v], 0ll);
        sum -= x[v];
    };
    function<void(int)> goo = [&] (int v) {
        sum += x[v];
        if (sum < 0 && -sum > s) {
            sum -= x[v];
            stt.push_back(v);
            return;
        }
        for (auto u : gr[v]) {
            goo(u);
        }
        sum -= x[v];
    };
    while (true) {
        int did = 0;
        for (auto v : st) {
            go(v);
            if (dp[v] > 0) {
                goo(v);
                st = stt;
                s += dp[v];
                ans += dp[v];
                did = 1;
                break;
            }
        }
        if (did) continue;
        break;
    }
    cout << ans << endl;
}
/*
6 1
-1 0
2 1
3 2
-10 0
1 4
-2 5
*/
int main()
{
    int T = 1;
    for (int I = 0; I < T; I ++){
        solve();
    }
}
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