#include<bits/stdc++.h>
using namespace std;
using vi = vector<int>;
using pi = pair<int,int>;
typedef long long ll;
#define debug(x) cout << #x << " = " << x << "\n";
#define vdebug(a) cout << #a << " = "; for(auto x: a) cout << x << " "; cout << "\n";
const int MOD = 1e9 + 7;
const int INF = 1e9;
template<ll mod>
struct modnum {
static constexpr bool is_big_mod = mod > numeric_limits<int>::max();
using S = conditional_t<is_big_mod, ll, int>;
using L = conditional_t<is_big_mod, __int128, ll>;
S x;
modnum() : x(0) {}
modnum(ll _x) {
_x %= static_cast<ll>(mod);
if (_x < 0) { _x += mod; }
x = _x;
}
modnum pow(ll n) const {
modnum res = 1;
modnum cur = *this;
while (n > 0) {
if (n & 1) res *= cur;
cur *= cur;
n /= 2;
}
return res;
}
modnum inv() const { return (*this).pow(mod-2); }
modnum& operator+=(const modnum& a){
x += a.x;
if (x >= mod) x -= mod;
return *this;
}
modnum& operator-=(const modnum& a){
if (x < a.x) x += mod;
x -= a.x;
return *this;
}
modnum& operator*=(const modnum& a){
x = static_cast<L>(x) * a.x % mod;
return *this;
}
modnum& operator/=(const modnum& a){ return *this *= a.inv(); }
friend modnum operator+(const modnum& a, const modnum& b){ return modnum(a) += b; }
friend modnum operator-(const modnum& a, const modnum& b){ return modnum(a) -= b; }
friend modnum operator*(const modnum& a, const modnum& b){ return modnum(a) *= b; }
friend modnum operator/(const modnum& a, const modnum& b){ return modnum(a) /= b; }
friend bool operator==(const modnum& a, const modnum& b){ return a.x == b.x; }
friend bool operator!=(const modnum& a, const modnum& b){ return a.x != b.x; }
friend bool operator<(const modnum& a, const modnum& b){ return a.x < b.x; }
friend ostream& operator<<(ostream& os, const modnum& a){ os << a.x; return os; }
friend istream& operator>>(istream& is, modnum& a) { ll x; is >> x; a = modnum(x); return is; }
};
using mint = modnum<MOD>;
template <class T> class SumSegmentTree {
private:
const T DEFAULT = 0;
vector<T> segtree;
int len;
public:
SumSegmentTree(int len) : len(len), segtree(len * 2, DEFAULT) {}
void set(int ind, T val) {
ind += len;
segtree[ind] = val;
for (; ind > 1; ind /= 2) {
segtree[ind / 2] = segtree[ind] + segtree[ind ^ 1];
}
}
T range_sum(int start, int end) {
T sum = DEFAULT;
for (start += len, end += len; start < end; start /= 2, end /= 2) {
if (start % 2 == 1) { sum += segtree[start++]; }
if (end % 2 == 1) { sum += segtree[--end]; }
}
return sum;
}
};
struct DSU{
vector<int> p, sz, used, mn, mx;
DSU(int n){
p.assign(n, 0);
sz.assign(n, 1);
used.assign(n, 0);
mx.assign(n, 0);
mn.assign(n, 0);
for (int i = 0; i < n; i++) p[i] = i;
}
int find(int u){
if (p[u] == u) return u;
p[u] = find(p[u]);
return p[u];
}
void unite(int u, int v){
u = find(u);
v = find(v);
if (u == v) return;
if (sz[u] < sz[v]) swap(u, v);
p[v] = u;
sz[u] += sz[v];
used[u] += used[v];
mn[u] = min(mn[u], mn[v]);
mx[u] = max(mx[u], mx[v]);
}
bool same(int u, int v){
return find(u) == find(v);
}
int size(int u){
u = find(u);
return sz[u];
}
};
const int N = 250005;
/*struct BIT {
ll b[N], n;
void init(int _n) {
n = _n ;
for(int i = 0 ; i <= n ; ++i) b[i] = INF;
}
inline int lowbit(int x) { return x & (-x); }
void update(int x, ll v) {
for(int i = x ; i <= n ; i += lowbit(i)) b[i] = min(v, b[i]);
}
ll query(int x) {
ll ans = INF;
for(int i = x ; i > 0 ; i -= lowbit(i)) ans = min(ans,b[i]);
return ans;
}
} bit[2];*/
int gcd(int a, int b, int& x, int& y) { // x*a + y*b = a1
x = 1, y = 0;
int x1 = 0, y1 = 1, a1 = a, b1 = b;
while (b1) {
int q = a1 / b1;
tie(x, x1) = make_tuple(x1, x - q * x1);
tie(y, y1) = make_tuple(y1, y - q * y1);
tie(a1, b1) = make_tuple(b1, a1 - q * b1);
}
return a1;
}
int inv_ecd(int a, int m) {
int x, y;
int g = gcd(a, m, x, y);
if(g != 1) return -1;
x = (x + m) % m;
return x;
}
vector<vi>adjL;
vi p, prnt;
vector<ll>x, pref, maks;
priority_queue<pair<ll,int>>pq;
ll s;
void calc(int pos) {
maks[pos] = min(maks[pos], pref[pos]);
for(int adj: adjL[pos]) {
pref[adj] = pref[pos] + x[adj];
prnt[adj] = prnt[pos];
maks[adj] = maks[pos];
calc(adj);
}
pq.push({maks[pos], pos});
}
void solve() {
int n;
cin >> n >> s;
adjL.assign(n, vi());
p.resize(n);
x.resize(n);
pref.resize(n);
maks.assign(n, 0);
prnt.resize(n);
for(int i=0; i<n; ++i) {
cin >> x[i] >> p[i];
--p[i];
if(p[i] != -1) adjL[p[i]].push_back(i);
}
for(int i=0; i<n; ++i) if(p[i] == -1) {
pref[i] = x[i];
prnt[i] = i;
calc(i);
}
vector<ll>chain(n, 0);
ll temp = s;
while(!pq.empty()) {
pi cur = pq.top();
pq.pop();
if((s - chain[prnt[cur.second]] + cur.first) < 0) break;
ll prev = chain[prnt[cur.second]];
if((pref[cur.second] - prev) > 0) {
s += pref[cur.second] - prev;
chain[prnt[cur.second]] = pref[cur.second];
}
}
cout << s-temp << endl;
}
int main(){
//freopen("N3.in", "r", stdin);
//freopen("N3.out", "w", stdout);
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc=1;
while (tc--) solve();
}
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