Code:
#include<bits/stdc++.h>
#define N 3000009
#define maxn 3000009
#define ll long long
#define lson ls[cur]
#define inf 1e9
#define rson rs[cur]
#define mid ((l+r)>>1)
using namespace std;
int read()
{
int x;
scanf("%d",&x);
return x;
}
void setIO(string s)
{
string in=s+".in";
string out=s+".out";
freopen(in.c_str(),"r",stdin);
freopen(out.c_str(),"w",stdout);
}
int rt,m,n,num,cnt,fa[maxn];
int pos[N], ls[N], rs[N];
struct node
{
int x,y;
node(int x=0,int y=0):x(x),y(y){}
}p[N];
vector<int>tr[maxn];
int find(int x)
{
return fa[x]==x?x:fa[x]=find(fa[x]);
}
void merge(int x,int y)
{
assert(x!=0);
p[y].x=min(p[y].x,p[x].x);
p[y].y=max(p[y].y,p[x].y);
fa[x]=y;
}
void add(int cur,int l,int r,int x,int y)
{
if(!cur) return;
for(int i=0;i<tr[cur].size();++i) merge(find(tr[cur][i]), y);
tr[cur].clear();
if(l==r) return;
if(x<=mid) add(lson,l,mid,x,y);
else add(rson,mid+1,r,x,y);
}
void Add(int &cur,int l,int r,int L,int R,int y)
{
if(L>R)return;
if(!cur)cur=++cnt;
if(L<=l&&R>=r)
{
tr[cur].push_back(y);
return;
}
if(L<=mid) Add(lson,l,mid,L,R,y);
if(R>mid) Add(rson,mid+1,r,L,R,y);
}
int main()
{
// setIO("input");
m=read();
for(int i=1;i<=m;++i)
{
int op=read(),x=read(),y=read();
if(op==1)
{
fa[++num]=num;
p[num]=node(x,y);
add(rt,-inf,inf,x,num), add(rt,-inf,inf,y,num);
if(p[num].x+1<p[num].y)
Add(rt,-inf,inf,p[num].x+1,p[num].y-1,num);
}
else
{
x=find(x),y=find(y);
if (x==y||(p[x].x<p[y].y&&p[x].x>p[y].x)||(p[x].y<p[y].y&&p[x].y>p[y].x)) puts("YES");
else puts("NO");
}
}
return 0;
}