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.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class _1198B {

    Scanner scanner = new Scanner(System.in);
    int n, upd;
    List<Receipt> commands;
    int[] personalWealth;

    public static class Receipt {
        int type;
        int person;
        int wealth;
        int max2ndUpdateAfter;

        public Receipt(int type, int wealth) {
            this.type = type;
            this.wealth = wealth;
        }

        public Receipt(int type, int person, int wealth) {
            this.type = type;
            this.person = person;
            this.wealth = wealth;
        }

        @Override
        public String toString() {
            return "Receipt{" +
                    "type=" + type +
                    ", person=" + person +
                    ", wealth=" + wealth +
                    ", max2ndUpdateAfter=" + max2ndUpdateAfter +
                    '}';
        }
    }

    public void solve(){
        n = scanner.nextInt();
        commands = new ArrayList<>(n);
        personalWealth = new int[n+1];

        int type, person, wealth;

        for(int i=1; i<=n; i++){
            wealth = scanner.nextInt();
            personalWealth[i] = wealth;
        }

        upd = scanner.nextInt();
        for(int i=0; i<upd; i++){
            type = scanner.nextInt();
            if(type==1){
                person = scanner.nextInt();
                wealth = scanner.nextInt();
                commands.add(new Receipt(type, person, wealth));
            }
            else {
                wealth = scanner.nextInt();
                commands.add(new Receipt(type, wealth));
            }
        }

        int maxWealthUpdateAfter=0;
        for(int i=upd-1; i>=0; i--){
            Receipt receipt = commands.get(i);
            if(receipt.type==1){
                receipt.max2ndUpdateAfter = maxWealthUpdateAfter;
            }
            else{
                maxWealthUpdateAfter = Math.max(receipt.wealth, maxWealthUpdateAfter);
            }
        }

//        System.out.println("maxwealth=" + maxWealthUpdateAfter);
        for(int i=1; i<=n; i++){
            personalWealth[i] = Math.max(personalWealth[i], maxWealthUpdateAfter);
        }

        for (Receipt receipt: commands){
            if(receipt.type==1){
                personalWealth[receipt.person] = Math.max(receipt.wealth, receipt.max2ndUpdateAfter);
            }
        }

//        commands.forEach(receipt -> System.out.println(receipt.toString()));

        for(int i=1; i<=n; i++){
            System.out.print(personalWealth[i] + " ");
        }
    }

    public static void main(String[] args) {
        _1198B solution = new _1198B();

        solution.solve();
    }


}