zoj3765

题解：

splay维护

注意是gcd

代码：

#include<bits/stdc++.h>
using namespace std;
#define Key_value ch[ch[root][1]][0]
const int N=300010;
char op[100];
int pre[N],ch[N][2],key[N],size[N],root,tot1,L,R,pos,_st,val;
int sum0[N],sum1[N],st[N],s[N],tot2,a[N],status[N],n,q;
int gcd(int a,int b)
{
    if (!b)return a;
    else return gcd(b,a%b);
}
void NewNode(int &r,int father,int k,int _st)
{
    if (tot2)r=s[tot2--];
    else r=++tot1;
    pre[r]=father;
    ch[r][0]=ch[r][1]=0;
    key[r]=k;
    st[r]=_st;
    if (_st==0){sum0[r]=k;sum1[r]=0;}
    else {sum1[r]=k;sum0[r]=0;}
    size[r]=1;
}
void push_up(int r)
{
    int lson=ch[r][0],rson=ch[r][1];
    size[r]=size[lson]+size[rson]+1;
    sum0[r]=sum1[r]=0;
    sum0[r]=gcd(sum0[lson],sum0[rson]);
    sum1[r]=gcd(sum1[lson],sum1[rson]);
    if (st[r])sum1[r]=gcd(sum1[r],key[r]);
    else sum0[r]=gcd(sum0[r],key[r]);
}
void Build(int &x,int l,int r,int father)
{
    if (l>r)return;
    int mid=(l+r)/2;
    NewNode(x,father,a[mid],status[mid]);
    Build(ch[x][0],l,mid-1,x);
    Build(ch[x][1],mid+1,r,x);
    push_up(x);
}
void Rotate(int x,int kind)
{
    int y=pre[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];
    ch[x][kind]=y;
    pre[y]=x;
    push_up(y);
}
void splay(int r,int goal)
{
    while (pre[r]!=goal)
     {
        if (pre[pre[r]]==goal)Rotate(r,ch[pre[r]][0]==r);
        else
         {
            int y=pre[r],kind=ch[pre[y]][0]==y;
            if(ch[y][kind]==r)
             {
                Rotate(r,!kind);
                Rotate(r,kind);
             }
            else
             {
                Rotate(y,kind);
                Rotate(r,kind);
             }
         }
     }
    push_up(r);
    if (!goal)root=r;
}
int Get_kth(int r,int k)
{
    int t=size[ch[r][0]]+1;
    if (t==k)return r;
    if (t>k)return Get_kth(ch[r][0],k);
    else return Get_kth(ch[r][1],k-t);
}
void Insert(int pos,int _val,int _st)
{
    splay(Get_kth(root,pos+1),0);
    splay(Get_kth(root,pos+2),root);
    NewNode(Key_value,ch[root][1],_val,_st);
    push_up(ch[root][1]);
    push_up(root);
}
void erase(int r)
{
    if(!r)return;
    s[++tot2] = r;
    erase(ch[r][0]);
    erase(ch[r][1]);
}
void Delete(int pos)
{
    splay(Get_kth(root,pos),0);
    splay(Get_kth(root,pos+2),root);
    erase(Key_value);
    pre[Key_value] = 0;
    Key_value = 0;
    push_up(ch[root][1]);
    push_up(root);
}
void Change(int pos)
{
    splay(Get_kth(root,pos),0);
    splay(Get_kth(root,pos+2),root);
    st[Key_value]^=1;
    push_up(Key_value);
    push_up(ch[root][1]);
    push_up(root);
}
void Modify(int pos,int _val)
{
    splay(Get_kth(root,pos),0);
    splay(Get_kth(root,pos+2),root);
    key[Key_value]=_val;
    push_up(Key_value);
    push_up(ch[root][1]);
    push_up(root);
}
int Query(int L,int R,int _st)
{
    int ans;
    splay(Get_kth(root,L),0);
    splay(Get_kth(root,R+2),root);
    if (!_st)ans=sum0[Key_value];
    else ans=sum1[Key_value];
    if (!ans)ans=-1;
    return ans;
}
int main()
{
    while (~scanf("%d%d",&n,&q))
     {
        root=tot1=tot2=0;
        ch[root][0]=ch[root][1]=size[root]=pre[root]=sum0[root]=sum1[root]=0;
        NewNode(root,0,0,0);
        NewNode(ch[root][1],root,0,0);
        for (int i=0;i<n;i++)scanf("%d%d",&a[i],&status[i]);
        Build(Key_value,0,n-1,ch[root][1]);
        push_up(ch[root][1]);push_up(root);
        while(q--)
         {
            scanf("%s",op);
            if (op[0]=='Q')
             {
                scanf("%d%d%d",&L,&R,&_st);
                printf("%d
",Query(L,R,_st));
             }
            if (op[0]=='I')
             {
                scanf("%d%d%d",&pos,&val,&_st);
                Insert(pos,val,_st);
             }
            if (op[0]=='D')
             {
                scanf("%d",&pos);
                Delete(pos);
             }
            if (op[0]=='R')
             {
                scanf("%d",&pos);
                Change(pos);
             }
            if (op[0]=='M')
             {
                scanf("%d%d",&pos,&val);
                Modify(pos,val);
             }
         }
     }
    return 0;
}