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| #include<cstdio> #include<algorithm> using namespace std; typedef long long ll; inline char nc(){ static char buf[100000],*l=buf,*r=buf; return l==r&&(r=(l=buf)+fread(buf,1,100000,stdin),l==r)?EOF:*l++; } inline int red(){ int res=0,f=1;char ch=nc(); while (ch<'0'||'9'<ch) {if (ch=='-') f=-f;ch=nc();} while ('0'<=ch&&ch<='9') res=res*10+ch-48,ch=nc(); return res*f; }
const int maxn=100005,maxe=100005; int n,M; ll ans,l[maxn]; int son[maxe],nxt[maxe],lnk[maxn],tot; inline void add(int x,int y){ son[++tot]=y;nxt[tot]=lnk[x];lnk[x]=tot; } int key[maxn],ls[maxn],rs[maxn],siz[maxn],rt[maxn]; ll sum[maxn]; inline void pushup(int x) {siz[x]=siz[ls[x]]+siz[rs[x]]+1;sum[x]=sum[ls[x]]+sum[rs[x]]+key[x];} int merge(int a,int b){ if (!a||!b) return a+b; if (key[a]<key[b]) swap(a,b); if (rand()&1) ls[a]=merge(ls[a],b);else rs[a]=merge(rs[a],b); pushup(a); return a; } int del(int a){ if (!a) return 0; return merge(ls[a],rs[a]); } void dfs(int x){ for (int j=lnk[x];j;j=nxt[j]){ dfs(son[j]); rt[x]=merge(rt[x],rt[son[j]]); } while (sum[rt[x]]>M) rt[x]=del(rt[x]); ans=max(ans,l[x]*siz[rt[x]]); } int main(){ n=red(),M=red(); for (int i=1;i<=n;i++){ int x=red();add(x,i); sum[i]=key[i]=red(),l[i]=red(); rt[i]=i;siz[i]=1; } dfs(1); printf("%lld",ans); return 0; }
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