裸Splay区间操作: 内存池+区间加减+区间翻转+插入+删除+维护最值
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SuperMemo
Description Your friend, Jackson is invited to a TV show called SuperMemo in which the participant is told to play a memorizing game. At first, the host tells the participant a sequence of numbers, {A1,A2, ... An}. Then the host performs a series of operations and queries on the sequence which consists:
To make the show more interesting, the participant is granted a chance to turn to someone else that means when Jackson feels difficult in answering a query he may call you for help. You task is to watch the TV show and write a program giving the correct answer to each query in order to assist Jackson whenever he calls. Input The first line contains n (n ≤ 100000). The following n lines describe the sequence. Then follows M (M ≤ 100000), the numbers of operations and queries. The following M lines describe the operations and queries. Output For each "MIN" query, output the correct answer. Sample Input 5 1 2 3 4 5 2 ADD 2 4 1 MIN 4 5 Sample Output 5 Source
POJ Founder Monthly Contest – 2008.04.13, Yao Jinyu
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#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int maxn=220000;
const int INF=0x3f3f3f3f;
#define Key_Value ch[ch[root][1]][0]
int ch[maxn][2],rev[maxn],add[maxn],sz[maxn],pre[maxn],key[maxn],minn[maxn];
int root,tot1;
int s[maxn],tot2;
int n,q,a[maxn];
void NewNode(int& x,int father,int k)
{
if(tot2) x=s[tot2--];
else x=++tot1;
ch[x][0]=ch[x][1]=rev[x]=add[x]=0;
sz[x]=1; pre[x]=father; key[x]=minn[x]=k;
}
void Erase(int r)
{
if(r)
{
s[++tot2]=r;
Erase(ch[r][0]);
Erase(ch[r][1]);
}
}
void Upd_Rev(int x)
{
if(!x) return ;
swap(ch[x][0],ch[x][1]);
rev[x]^=1;
}
void Upd_Add(int x,int d)
{
if(!x) return ;
key[x]+=d; minn[x]+=d;
add[x]+=d;
}
void Push_Up(int x)
{
sz[x]=sz[ch[x][1]]+sz[ch[x][0]]+1;
minn[x]=key[x];
if(ch[x][0]) minn[x]=min(minn[x],minn[ch[x][0]]);
if(ch[x][1]) minn[x]=min(minn[x],minn[ch[x][1]]);
}
void Push_Down(int x)
{
if(rev[x])
{
Upd_Rev(ch[x][0]); Upd_Rev(ch[x][1]);
rev[x]=0;
}
if(add[x])
{
Upd_Add(ch[x][0],add[x]); Upd_Add(ch[x][1],add[x]);
add[x]=0;
}
}
void Build(int& x,int l,int r,int fa)
{
if(l>r) return ;
int mid=(l+r)/2;
NewNode(x,fa,a[mid]);
Build(ch[x][0],l,mid-1,x);
Build(ch[x][1],mid+1,r,x);
Push_Up(x);
}
void Init()
{
root=tot1=tot2=0;
ch[root][0]=ch[root][1]=pre[root]=sz[root]=0;
minn[root]=key[root]=INF;
NewNode(root,0,INF);
NewNode(ch[root][1],root,INF);
Build(Key_Value,1,n,ch[root][1]);
Push_Up(ch[root][1]);
Push_Up(root);
}
void Rotate(int x,int kind)
{
int y=pre[x];
Push_Down(y);
Push_Down(x);
ch[y][!kind]=ch[x][kind];
pre[ch[x][kind]]=y;
if(pre[y]) ch[pre[y]][ch[pre[y]][1]==y]=x;
pre[x]=pre[y];
pre[y]=x;
ch[x][kind]=y;
Push_Up(y);
}
void Splay(int r,int goal)
{
Push_Down(r);
while(pre[r]!=goal)
{
if(pre[pre[r]]==goal)
{
Push_Down(pre[r]);
Push_Down(r);
Rotate(r,ch[pre[r]][0]==r);
}
else
{
Push_Down(pre[pre[r]]);
Push_Down(pre[r]);
Push_Down(r);
int y=pre[r];
int kind=(ch[pre[y]][0]==y);
if(ch[y][kind]==r) Rotate(r,!kind);
else Rotate(y,kind);
Rotate(r,kind);
}
}
Push_Up(r);
if(goal==0) root=r;
}
int Get_Kth(int r,int k)
{
Push_Down(r);
int t=sz[ch[r][0]]+1;
if(k==t) return r;
if(t<k) return Get_Kth(ch[r][1],k-t);
else return Get_Kth(ch[r][0],k);
}
int Get_Min(int r)
{
Push_Down(r);
while(ch[r][0])
{
r=ch[r][0];
Push_Down(r);
}
return r;
}
int Get_Max(int r)
{
Push_Down(r);
while(ch[r][1])
{
r=ch[r][1];
Push_Down(r);
}
return r;
}
///.......do..it........
void ADD(int l,int r,int d)
{
Splay(Get_Kth(root,l),0);
Splay(Get_Kth(root,r+2),root);
Upd_Add(Key_Value,d);
Push_Up(ch[root][1]);
Push_Up(root);
}
void REVERSE(int l,int r)
{
Splay(Get_Kth(root,l),0);
Splay(Get_Kth(root,r+2),root);
Upd_Rev(Key_Value);
Push_Up(ch[root][1]);
Push_Up(root);
}
void DELETE(int p)
{
Splay(Get_Kth(root,p),0);
Splay(Get_Kth(root,p+2),root);
Erase(Key_Value);
pre[Key_Value]=0;
Key_Value=0;
Push_Up(ch[root][1]);
Push_Up(root);
}
void INSERT(int p,int v)
{
Splay(Get_Kth(root,p+1),0);
Splay(Get_Kth(root,p+2),root);
NewNode(Key_Value,ch[root][1],v);
Push_Up(ch[root][1]);
Push_Up(root);
}
int MIN(int l,int r)
{
Splay(Get_Kth(root,l),0);
Splay(Get_Kth(root,r+2),root);
return minn[Key_Value];
}
void REVOLVE(int l,int r,int t)
{
int len=r-l+1;
t=(t%len+len)%len;
if(t==0) return ;
int c=r-t+1;
///[l..c-1] and [c..r]
Splay(Get_Kth(root,c),0);
Splay(Get_Kth(root,r+2),root);
int temp=Key_Value;
Key_Value=0;
Push_Up(ch[root][1]);
Push_Up(root);
Splay(Get_Kth(root,l),0);
Splay(Get_Kth(root,l+1),root);
Key_Value=temp;
pre[Key_Value]=ch[root][1];
Push_Up(ch[root][1]);
Push_Up(root);
}
/****************Debug*********************/
void showit(int x)
{
if(x)
{
Push_Down(x);
showit(ch[x][0]);
printf("结点: %2d key: %2d 左儿子: %2d 右儿子: %2d 父结点: %2d sz: %2d min: %2d
",
x,key[x],ch[x][0],ch[x][1],pre[x],sz[x],minn[x]);
showit(ch[x][1]);
}
}
void Debug()
{
cout<<"---------------------------
";
cout<<"root: "<<root<<endl;
showit(root);
}
int main()
{
while(scanf("%d",&n)!=EOF)
{
for(int i=1;i<=n;i++) scanf("%d",a+i);
Init();
// Debug();
scanf("%d",&q);
char op[100]; int x,y,z;
while(q--)
{
scanf("%s",op);
if(strcmp(op,"ADD")==0)
{
scanf("%d%d%d",&x,&y,&z);
ADD(x,y,z);
}
else if(strcmp(op,"REVERSE")==0)
{
scanf("%d%d",&x,&y);
REVERSE(x,y);
}
else if(strcmp(op,"REVOLVE")==0)
{
scanf("%d%d%d",&x,&y,&z);
REVOLVE(x,y,z);
}
else if(strcmp(op,"INSERT")==0)
{
scanf("%d%d",&x,&y);
INSERT(x,y);
}
else if(strcmp(op,"DELETE")==0)
{
scanf("%d",&x);
DELETE(x);
}
else if(strcmp(op,"MIN")==0)
{
scanf("%d%d",&x,&y);
printf("%d
",MIN(x,y));
}
// Debug();
}
}
return 0;
}