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.lang.reflect.Array;
import java.math.BigInteger;
import java.util.*;

public class Task {

    final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;
    BufferedReader in;
    PrintWriter out;
    StringTokenizer tok = new StringTokenizer("");

    public static void main(String[] args) {
        new Task().run();
    }

    void init() throws FileNotFoundException {
        if (ONLINE_JUDGE) {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
        } else {
            in = new BufferedReader(new FileReader("input.txt"));
            out = new PrintWriter("output.txt");
        }
    }

    String readString() throws IOException {
        while (!tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine());
        }
        return tok.nextToken();
    }

    int readInt() throws IOException {
        return Integer.parseInt(readString());
    }

    long readLong() throws IOException {
        return Long.parseLong(readString());
    }

    double readDouble() throws IOException {
        return Double.parseDouble(readString());
    }

    public void run() {
        try {
            long t1 = System.currentTimeMillis();
            init();
            solve();
            out.close();
            long t2 = System.currentTimeMillis();
            System.err.println("Time = " + (t2 - t1));
        } catch (Exception e) {
            e.printStackTrace(System.err);
            System.exit(-1);
        }
    }

    class lolkek implements Comparable<lolkek> {
        int x;
        int y;

        public lolkek(int x, int y) {
            this.x = x;
            this.y = y;
        }

        @Override
        public int compareTo(lolkek a) {
            if (x == a.x) {
                return (y - a.y);
            }
            return x - a.x;
        }
    }

    public boolean isSimple(int n) {
        for (int i = 2; i < n; i++) {
            if (n % i == 0) {
                return false;
            }
            if(i * i > n) {
                break;
            }
        }
        return true;
    }

    class query{
        int id;
        int x;
        int y;
        public query(int id, int x, int y) {
            this.id = id;
            this.x = x;
            this.y = y;
        }
    }

    public void solve() throws IOException {
        int n = readInt();
        int[] a = new int[n];
        for(int i = 0; i < n; i++) {
            a[i] = readInt();
        }
        int q = readInt();
        query[] op = new query[q];

        int absoleteFloor = 0;
        for(int i = 0; i < q; i++) {
            int id = readInt();
            int x = readInt();
            int y = 0;
            if(id == 1) {
                y = readInt();
                x--;
            }
            op[i] = new query(id, x, y);
        }



        boolean[] isVisited = new boolean[n];

        for(int i = q - 1; i >= 0; i--) {
            if(op[i].id == 1) {
                if(!isVisited[op[i].x]) {
                    isVisited[op[i].x] = true;
                    a[op[i].x] = Math.max(absoleteFloor, op[i].y);
                }
            }
            else{
                absoleteFloor = Math.max(absoleteFloor, op[i].x);
            }
        }

        for(int i = 0; i < n; i++) {
            if(isVisited[i]) {
                out.print(a[i] + " ");
            }
            else {
                out.print(Math.max(a[i] , absoleteFloor) + " ");
            }
        }
    }
}