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 F {
	
	public static void main(String[] args) {
		FastReader scan = new FastReader();
		PrintWriter out = new PrintWriter(System.out);
		Task solver = new Task();
		solver.solve(1, scan, out);
		out.close();
	}
	
	static class Task {
		public void solve(int testNumber, FastReader scan, PrintWriter out) {
			int n = scan.nextInt(), max = -1;
			int[] initial = new int[n];
			int[] maxEventId = new int[n];
			Arrays.fill(maxEventId, -1);
			for(int i = 0; i < n; i++) initial[i] = scan.nextInt();
			int q = scan.nextInt();
			int[][] event = new int[q][];
			for(int i = 0; i < q; i++) {
				int p = scan.nextInt();
				if(p == 2) {
					event[i] = new int[1];
					event[i][0] = scan.nextInt();
				}
				else {
					event[i] = new int[2];
					event[i][0] = scan.nextInt()-1;
					event[i][1] = scan.nextInt();
					maxEventId[event[i][0]] = i;
				}
			}
			for(int i = q-1; i >= 0; i--) {
				if(event[i].length == 1) max = Math.max(max, event[i][0]);
				else if(maxEventId[event[i][0]] == i) {
					initial[event[i][0]] = Math.max(max, event[i][1]);
				}
			}
			for(int i = 0; i < n; i++) {
				if(maxEventId[i] == -1) initial[i] = Math.max(initial[i], max);
			}
			for(int i : initial) out.print(i + " ");
		}
	}
	
	

	static class FastReader {
		BufferedReader br;
		StringTokenizer st;

		public FastReader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		public FastReader(String s) throws FileNotFoundException {
			br = new BufferedReader(new FileReader(new File(s)));
		}

		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;
		}
	}

}
