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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author cunbidun
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        Task1199D solver = new Task1199D();
        solver.solve(1, in, out);
        out.close();
    }

    static class Task1199D {
        private InputReader in;
        private OutputWriter out;

        public void solve(int testNumber, InputReader in, OutputWriter out) {
            this.in = in;
            this.out = out;
            int n = in.nextInt();
            int[] a = in.nextIntArray(n, 1);
            int q = in.nextInt();

            int[] time = new int[n + 1];
            int[] event = new int[q + 1];
            int[] max = new int[q + 2];

            for (int i = 1; i <= q; i++) {
                int cmd = in.nextInt();
                if (cmd == 1) {
                    int p = in.nextInt();

                    a[p] = in.nextInt();
                    time[p] = i;
                } else event[i] = in.nextInt();
            }
            max[q] = event[q];
            for (int i = q - 1; i >= 1; i--) {
                max[i] = MaxMin.Max(max[i + 1], event[i]);
            }
            for (int i = 1; i <= n; i++) a[i] = MaxMin.Max(a[i], max[time[i] + 1]);
            out.println(a, 1, n);
        }

    }

    static class MaxMin {
        public static <T extends Comparable<T>> T Max(T x, T y) {
            T max = x;
            if (y.compareTo(max) > 0) max = y;
            return max;
        }

    }

    static class InputReader extends InputStream {
        private InputStream stream;
        private byte[] buf = new byte[1 << 16];
        private int curChar;
        private int numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public int[] nextIntArray(int length, int stIndex) {
            int[] arr = new int[length + stIndex];
            for (int i = stIndex; i < stIndex + length; i++)
                arr[i] = nextInt();
            return arr;
        }

        private static boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

    }

    static class OutputWriter {
        private final PrintWriter out;

        public OutputWriter(OutputStream outputStream) {
            out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.out = new PrintWriter(writer);
        }

        public void close() {
            out.close();
        }

        public void print(int[] a, int start, int end) {
            for (int i = start; i <= end; i++) {
                out.print(a[i] + " ");
            }
        }

        public void println(int[] a, int start, int end) {
            print(a, start, end);
            out.println();
        }

    }
}

