#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(abs(a), abs(b));}
ll lcm(ll a, ll b){return abs(a) / gcd(a, b) * abs(b);}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }
const int N = 3e5 + 69;
int n; ll s;
vector<int> graph[N];
int p[N];
ll a[N];
vector<pair<ll,ll>> dp[N];
void dfs(int u){
    for(int v: graph[u]) {
        dfs(v);
        for(auto i: dp[v]) dp[u].push_back(i);
    }
    sort(ALL(dp[u]));
    if (a[u] > 0){
        ll sum = a[u];
        reverse(ALL(dp[u]));
        while(dp[u].size() && dp[u].back().first <= a[u]) {
            sum += dp[u].back().second;
            dp[u].pop_back();
        }
        dp[u].push_back(make_pair(0, sum));
        reverse(ALL(dp[u]));
    }
    else{
        vector<pair<ll, ll>> tmp;
        ll sum = a[u];
        for(auto i: dp[u]){
            i.first -= a[u];
            sum += i.second;
            if (sum > 0){
                tmp.push_back(make_pair(i.first, sum));
                sum = 0;
            }
        }
        dp[u] = tmp;
    }
    // cout << "Node: " << u << "\n";
    // for(auto i: dp[u]) cout << i.first << " " << i.second << "\n";
}
void solve(){
    cin >> n >> s;
    for(int i = 1; i <= n; ++i) {
        cin >> a[i] >> p[i];
        graph[p[i]].push_back(i);
    }
    dfs(0);
    ll t = s;
    for(auto i: dp[0]){
        if (t >= i.first) t += i.second;
    }
    cout << t - s << "\n";
}
int main(void){
    ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
    clock_t start = clock();
    solve();
    cerr << "Time elapsed: " << clock() - start << "ms!\n";
    return 0;
}
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