#include <bits/stdc++.h>
using namespace std;
#define long long ll
const int N = 1e5;
vector<int> adj[N];
int dfs(int node, vector<pair<int,int>>& job, vector<bool>& vis, int& ans){
vis[node] = true;
for(auto i : adj[node]){
if(!vis[i]){
ans += job[i].first;
if(i != 0) dfs(i,job,vis,ans);
}
}
return ans;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, s;
cin >> n >> s;
vector<pair<int,int>> job(n);
for(int i=0; i<n; ++i){
cin >> job[i].first >> job[i].second;
if(job[i].second != 0){
adj[i].push_back(job[i].second - 1);
} else {
adj[i].push_back(job[i].second);
}
}
vector<int> dp(n,0);
vector<bool> vis(n,false);
dp[0] = max(job[0].first + s, s);
if(dp[0] == job[0].first + s) vis[0] = true;
for(int i=1; i<n; ++i){
if(job[i].second == 0){
dp[i] = max(dp[i-1], dp[i-1] + job[i].first);
} else {
if(!vis[job[i].second - 1]){
int ans = 0;
dp[i] = dp[i-1] + dfs(i,job,vis,ans);
dp[i] = max(dp[i-1], dp[i] + job[i].first);
} else {
dp[i] = max(dp[i-1], dp[i-1] + job[i].first);
}
}
if(dp[i] != dp[i-1]) vis[i] = true;
}
cout << dp[n-1] - s << endl;
for (int i = 0; i < n; ++i) {
adj[i].clear();
}
return 0;
}
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