There is a country with n citizens. The i-th of them initially has a_{i} money. The government strictly controls the wealth of its citizens. Whenever a citizen makes a purchase or earns some money, they must send a receipt to the social services mentioning the amount of money they currently have.

Sometimes the government makes payouts to the poor: all citizens who have strictly less money than x are paid accordingly so that after the payout they have exactly x money. In this case the citizens don't send a receipt.

You know the initial wealth of every citizen and the log of all events: receipts and payouts. Restore the amount of money each citizen has after all events.

Input

The first line contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the numer of citizens.

The next line contains n integers a_1, a_2, ..., a_n (0 ≤ a_{i} ≤ 10^{9}) — the initial balances of citizens.

The next line contains a single integer q (1 ≤ q ≤ 2 ⋅ 10^{5}) — the number of events.

Each of the next q lines contains a single event. The events are given in chronological order.

Each event is described as either 1 p x (1 ≤ p ≤ n, 0 ≤ x ≤ 10^{9}), or 2 x (0 ≤ x ≤ 10^{9}). In the first case we have a receipt that the balance of the p-th person becomes equal to x. In the second case we have a payoff with parameter x.

Output

Print n integers — the balances of all citizens after all events.

Examples

Input


4
1 2 3 4
3
2 3
1 2 2
2 1


Output


3 2 3 4 


Input


5
3 50 2 1 10
3
1 2 0
2 8
1 3 20


Output


8 8 20 8 10 

Note

In the first example the balances change as follows: 1 2 3 4 → 3 3 3 4 → 3 2 3 4 → 3 2 3 4

In the second example the balances change as follows: 3 50 2 1 10 → 3 0 2 1 10 → 8 8 8 8 10 → 8 8 20 8 10
import java.io.*;
import java.util.*;
import java.lang.*;

public class Rextester{
    static class Person {
        int lastq,maxpr,updated;
        public Person(int lastq,int maxpr,int updated){
            this.lastq=lastq;
            this.maxpr=maxpr;
            this.updated=updated;
        }
    }
    static class Records{
        int type,person,money;
        public Records(int type,int person,int money){
            this.type=type;
            this.person=person;
            this.money=money;
        }
    }
    public static void main(String[] args)throws IOException{
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int n = new Integer(br.readLine());
        StringTokenizer st = new StringTokenizer(br.readLine());
        int q = new Integer(br.readLine());
        Records[] rs=new Records[q];
        for(int i=0;i<q;i++){
            StringTokenizer st1 = new StringTokenizer(br.readLine());
            int t = new Integer(st1.nextToken());
            if(t==1){
                int p = new Integer(st1.nextToken());
                int m = new Integer(st1.nextToken());
                rs[i]=new Records(t,p,m);
            }
            else{
                int m = new Integer(st1.nextToken());
                rs[i]=new Records(t,0,m);
            }
        }
        br.close();
        int[] array = new int[n];
        for(int i=0;i<n;i++){
            array[i]=new Integer(st.nextToken());
        }
        Person[] ps = new Person[n];
        for(int i=0;i<n;i++){
            ps[i]=new Person(0,0,0);
        }
        int max =0;
        for(int i=q-1;i>=0;i--){
            if(rs[i].type==1){
                if(ps[rs[i].person-1].updated==1){
                    continue;
                }
                else{
                    ps[rs[i].person-1].updated=1;
                    ps[rs[i].person-1].lastq=rs[i].money;
                    ps[rs[i].person-1].maxpr=max;
                }
            }
            else{
                max=Math.max(max,rs[i].money);
            }
        }
        StringBuffer sb = new StringBuffer();
        for(int i=0;i<n;i++){
            if(ps[i].updated==0){
                array[i]=Math.max(max,array[i]);
            }
            else{
                array[i]=Math.max(ps[i].lastq,ps[i].maxpr);
            }
            sb.append(array[i]).append(" ");
        }
        System.out.println(sb);
    }
}
        