As you might remember from the previous round, Vova is currently playing a strategic game known as Rage of Empires.

Vova managed to build a large army, but forgot about the main person in the army - the commander. So he tries to hire a commander, and he wants to choose the person who will be respected by warriors.

Each warrior is represented by his personality — an integer number pi. Each commander has two characteristics — his personality pj and leadership lj (both are integer numbers). Warrior i respects commander j only if <image> (<image> is the bitwise excluding OR of x and y).

Initially Vova's army is empty. There are three different types of events that can happen with the army:

  * 1 pi — one warrior with personality pi joins Vova's army; 
  * 2 pi — one warrior with personality pi leaves Vova's army; 
  * 3 pi li — Vova tries to hire a commander with personality pi and leadership li. 



For each event of the third type Vova wants to know how many warriors (counting only those who joined the army and haven't left yet) respect the commander he tries to hire.

Input

The first line contains one integer q (1 ≤ q ≤ 100000) — the number of events.

Then q lines follow. Each line describes the event:

  * 1 pi (1 ≤ pi ≤ 108) — one warrior with personality pi joins Vova's army; 
  * 2 pi (1 ≤ pi ≤ 108) — one warrior with personality pi leaves Vova's army (it is guaranteed that there is at least one such warrior in Vova's army by this moment); 
  * 3 pi li (1 ≤ pi, li ≤ 108) — Vova tries to hire a commander with personality pi and leadership li. There is at least one event of this type. 

Output

For each event of the third type print one integer — the number of warriors who respect the commander Vova tries to hire in the event.

Example

Input

5
1 3
1 4
3 6 3
2 4
3 6 3


Output

1
0

Note

In the example the army consists of two warriors with personalities 3 and 4 after first two events. Then Vova tries to hire a commander with personality 6 and leadership 3, and only one warrior respects him (<image>, and 2 < 3, but <image>, and 5 ≥ 3). Then warrior with personality 4 leaves, and when Vova tries to hire that commander again, there are no warriors who respect him.
/* Author: Ronak Agarwal */
import java.io.* ; import java.util.* ; import java.math.* ;
import static java.lang.Math.min ;
import static java.lang.Math.max ;
import static java.lang.Math.abs ;
/* Thread is created here to increase the stack size of the java code so that recursive dfs can be performed */
public class Codeshefcode{
	public static void main(String[] args) throws IOException{
		new Thread(null,new Runnable(){	public void run(){ exec_Code() ;} },"Solver",1l<<27).start() ;
	}
	static void exec_Code(){
		try{
			Solver Machine = new Solver() ;
			Machine.Solve() ; Machine.Finish() ;}
		catch(Exception e){ e.printStackTrace() ; print_and_exit() ;}
		catch(Error e){ e.printStackTrace() ; print_and_exit() ; }
	}
	static void print_and_exit(){ System.out.flush() ; System.exit(-1) ;}
}
/* Implementation of the pair class, useful for every other problem */
class pair implements Comparable<pair>{
	int x ; int y ; int dir ;
	pair(int _x,int _y,int _dir){ x=_x ; y=_y ; dir = _dir ;} 
	public int compareTo(pair p){
		return (this.x<p.x ? -1 : (this.x>p.x ? 1 : (this.y<p.y ? -1 : (this.y>p.y ? 1 : 0)))) ;
	}
}
class Trie{
	int tot ;
	Trie chd[] ;
	Trie(){
		chd = new Trie[2] ;
		tot = 0 ;
	}
}
/* Main code starts here */
class Solver extends Template{
	public void Solve() throws IOException{
		Trie tr = new Trie() ;
		int q = ip.i() ;
		while(q--!=0){
			int type=ip.i() ;
			switch(type){
				case 1:{
					int pi = ip.i() ;
					Trie nd = tr ;
					nd.tot++ ;
					for(int i=29 ; i>=0 ; i--){
						int bit = ((((1<<i)&pi)!=0) ? 1 : 0) ;
						if(nd.chd[bit]==null) nd.chd[bit] = new Trie() ;
						nd = nd.chd[bit] ;
						nd.tot++ ;
					}
				}break ;
				case 2:{
					int pi = ip.i() ;
					Trie nd = tr ;
					nd.tot-- ;
					for(int i=29 ; i>=0 ; i--){
						int bit = ((((1<<i)&pi)!=0) ? 1 : 0) ;
						nd = nd.chd[bit] ;
						nd.tot-- ;						
					}
				}break ;
				case 3:{
					int pi = ip.i() ;
					int li = ip.i() ;
					Trie nd = tr ;
					int res=0 ;
					for(int i=29 ; i>=0 ; i--){
						int lbit = ((((1<<i)&li)!=0) ? 1 : 0) ;
						int bit = ((((1<<i)&pi)!=0) ? 1 : 0) ;
						if(lbit==1){
							res+=(nd.chd[bit]==null ? 0 : nd.chd[bit].tot) ;
							if(nd.chd[1^bit]!=null) nd = nd.chd[1^bit] ;
							else break ;
						}else{
							if(nd.chd[bit]!=null) nd = nd.chd[bit] ;
							else break ;
						}
					}
					pln(res) ;
				}
			}
		}
 	}
}

/* All the useful functions,constants,renamings are here*/
class Template{
	/* Constants Section */
	final int INT_MIN = Integer.MIN_VALUE ; final int INT_MAX = Integer.MAX_VALUE ;
	final long LONG_MIN = Long.MIN_VALUE ; final long LONG_MAX = Long.MAX_VALUE ;
	static long MOD = 1000000007 ;
	static Reader ip = new Reader(System.in) ;	
	static PrintWriter op = new PrintWriter(System.out) ;
	/* Methods for writing */
	static void p(Object o){ op.print(o) ; }
	static void pln(Object o){ op.println(o) ;}
	static void Finish(){ op.flush();	op.close(); }
	/* Implementation of operations modulo MOD */
	static long inv(long a){ return powM(a,MOD-2) ; }
	static long m(long a,long b){ return (a*b)%MOD ; }
	static long d(long a,long b){ return (a*inv(b))%MOD ; }
	static long powM(long a,long b){
		if(b<0) return powM(inv(a),-b) ;
		long val=a ; long ans=1 ;
		while(b!=0){
			if((b&1)==1) ans = (ans*val)%MOD ; 
			val = (val*val)%MOD ; 
			b/=2 ;
		}
		return ans ;
	}
	/* Renaming of some generic utility classes */
	final static class mylist extends ArrayList<Integer>{}
	final static class myset extends TreeSet<Long>{}
	final static class mystack extends Stack<Integer>{}
	final static class mymap extends TreeMap<Integer,mylist>{}
}

class Reader{
	BufferedReader reader;
	StringTokenizer tkz;
	Reader(InputStream input) {
		reader = new BufferedReader(new InputStreamReader(input)) ;
		tkz = new StringTokenizer("") ;
	}
	String s() throws IOException{
		while (!tkz.hasMoreTokens()) tkz = new StringTokenizer(reader.readLine()) ;
		return tkz.nextToken() ;
	}
	int i() throws IOException{ return Integer.parseInt(s()) ;}
	long l() throws IOException{ return Long.parseLong(s()) ;}
	double d() throws IOException{	return Double.parseDouble(s()) ;}
}