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.*;

public class A {
    static FastReader f = new FastReader();
    static PrintWriter out = new PrintWriter(System.out);
    public static void main(String[] args) {
        int n = f.nextInt();

        Pair[] pairs = new Pair[n];
        for(int i=0;i<n;i++) {
            pairs[i] = new Pair(f.nextInt());
        }

        int q = f.nextInt();
        int[] suffMax = new int[q+1];
        for (int i=0;i<q;i++) {
            int op = f.nextInt();

            if(op == 1) {
                int p = f.nextInt() - 1;
                int x = f.nextInt();
                pairs[p].pos = i;
                pairs[p].val = x;
            } else {
                suffMax[i] = f.nextInt();
            }
        }

        for(int i=q-1, max = 0;i>=0;i--) {
            max = Math.max(max, suffMax[i]);
            suffMax[i] = max;
        }

        for(int i=0;i<n;i++) {
            int now = Math.max(pairs[i].val, suffMax[pairs[i].pos+1]);
            out.print(now);
            out.print(" ");
        }
        out.close();
    }


    static class Pair {
        int pos = -1;
        int val;
        Pair(int val) {
            this.val = val;
        }
    }

    //fast input reader
    static class FastReader
    {
        BufferedReader br;
        StringTokenizer st;

        public FastReader()
        {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt()
        {
            return Integer.parseInt(next());
        }

        long nextLong()
        {
            return Long.parseLong(next());
        }

        double nextDouble()
        {
            return Double.parseDouble(next());
        }

        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
    }
}