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http://www.lydsy.com/JudgeOnline/problem.php?id=3065
思路:替罪羊树套权值线段树。
当替罪羊树某个子树大于某个比利(比例)时就暴力重构,本题时间复杂度:O(nlog^3n)
#include<algorithm> #include<cstdio> #include<cmath> #include<cstring> #include<iostream> #include<vector> #define alpha 0.75 #define N 10000005 int read(){ char ch=getchar();int t=0,f=1; while (ch<‘0‘||ch>‘9‘){if (ch==‘-‘) f=-1;ch=getchar();} while (‘0‘<=ch&&ch<=‘9‘){t=t*10+ch-‘0‘;ch=getchar();} return t*f; } int tmp; int n,m,sz,ans,root; int v[70005],dfn[70005],rt[70005],ls[70005],rs[70005]; struct seg{int l,r,sum;}a[N]; std::vector<int>p,t,rec; int newnode(){ if (!rec.size()) return ++sz; else{ int k=rec.back();rec.pop_back(); return k; } } void recliam(int &x){ if (!x) return; rec.push_back(x); recliam(a[x].l);recliam(a[x].r); a[x].sum=0;x=0; } void insert(int &k,int l,int r,int val,int f){ if (!k) k=newnode(); if (l==r){a[k].sum+=f;return;} int mid=(l+r)>>1; if (val<=mid) insert(a[k].l,l,mid,val,f); else insert(a[k].r,mid+1,r,val,f); a[k].sum=a[a[k].l].sum+a[a[k].r].sum; if (!a[k].sum) recliam(k); } void build(int &k,int l,int r){ int mid=(l+r)>>1; if (l>r) return; if (l==r){ k=dfn[l];insert(rt[k],0,70000,v[k],1);return; } k=dfn[mid]; build(ls[k],l,mid-1);build(rs[k],mid+1,r); for (int i=l;i<=r;i++) insert(rt[k],0,70000,v[dfn[i]],1); } void del(int &x){ if (!x) return;recliam(rt[x]); del(ls[x]);p.push_back(x);del(rs[x]); x=0; } void rebuild(int &x){ del(x);int s1=p.size(); for (int i=1;i<=s1;i++) dfn[i]=p[i-1]; build(x,1,s1); p.clear(); } int modify(int k,int x,int val){ insert(rt[k],0,70000,val,1); int t,L=a[rt[ls[k]]].sum; if (L+1==x){t=v[k];v[k]=val;} else if (L>=x) t=modify(ls[k],x,val); else t=modify(rs[k],x-L-1,val); insert(rt[k],0,70000,t,-1); return t; } void query(int k,int l,int r){ int L=a[rt[ls[k]]].sum,R=a[rt[k]].sum; if (l==1&&r==R){t.push_back(rt[k]);return;} if (l<=L+1&&r>=L+1)p.push_back(v[k]); if (r<=L)query(ls[k],l,r); else if (l>L+1) query(rs[k],l-L-1,r-L-1); else{ if (l<=L) query(ls[k],l,L); if (R>L+1) query(rs[k],1,r-L-1); } } int solve_query(int L,int R,int K){ query(root,L,R);K--; int l=0,r=70000,s1=t.size(),s2=p.size(); while (l<r){ int mid=(l+r)>>1,sum=0; for (int i=0;i<s1;i++) sum+=a[a[t[i]].l].sum; for (int i=0;i<s2;i++) if (p[i]>=l&&p[i]<=mid) sum++; if (K<sum){ for (int i=0;i<s1;i++) t[i]=a[t[i]].l; r=mid; } else{ for (int i=0;i<s1;i++) t[i]=a[t[i]].r; l=mid+1;K-=sum; } } t.clear();p.clear(); return l; } void insert(int &k,int x,int val){ if (!k){ k=++n; insert(rt[k],0,70000,val,1); v[k]=val; return; } insert(rt[k],0,70000,val,1); int L=a[rt[ls[k]]].sum; if (L>=x) insert(ls[k],x,val);else insert(rs[k],x-L-1,val); if (a[rt[k]].sum*alpha>std::max((double)a[rt[ls[k]]].sum,(double)a[rt[rs[k]]].sum)){ if (tmp){ if (ls[k]==tmp) rebuild(ls[k]); else rebuild(rs[k]); tmp=0; } }else tmp=k; } int main(){ n=read(); for (int i=1;i<=n;i++) v[i]=read(); for (int i=1;i<=n;i++) dfn[i]=i; build(root,1,n); m=read(); char ch[2];int x,y,K; while (m--){ scanf("%s",ch); x=read();y=read();x^=ans;y^=ans; switch(ch[0]){ case ‘Q‘:K=read();K^=ans;ans=solve_query(x,y,K);printf("%d\n",ans);break; case ‘M‘:modify(root,x,y);break; case ‘I‘:tmp=0;insert(root,x-1,y);if (tmp){tmp=0;rebuild(root);}break; } } }
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原文地址:http://www.cnblogs.com/qzqzgfy/p/5693207.html