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.*;
import java.io.*;
import java.math.*;
 
public class Main {
    public static void main(String[] args) throws IOException {
        PrintWriter out = new PrintWriter(System.out);
        //Scanner sc = new Scanner();
        Reader in = new Reader();
        Main solver = new Main();
        solver.solve(out, in);
        out.flush();
        out.close();
 
    }
 
    static int INF = (int)1e5*4*4+5;
    static int maxn = (int)1e5*2+1;
    static int mod=(int)1e9+7 ;
    static int n,m,k,t,q,x,a,b,y,d;
    
    
    
    void solve(PrintWriter out, Reader in) throws IOException{
        n = in.nextInt();
        int[] arr = new int[n+1];
        for(int i=1;i<=n;i++) arr[i] = in.nextInt();
        
        int[] ans = new int[n+1];
        q = in.nextInt();
        int[][] query = new int[q][3];
        
        int p;
        for(int i=0;i<q;i++){
            t = in.nextInt();
            query[i][0] = t;
            
            if(t==1){
              p = in.nextInt();
              x = in.nextInt();
              query[i][1] = p;
              query[i][2] = x;
              
            }else{
                x = in.nextInt();
                query[i][1] = x;
                
            }
        }
        
        for(int i=1;i<=n;i++) ans[i]=-1;
        int max=0;
        
        for(int i=q-1;i>=0;i--){
            if(query[i][0]==2){
                max = Math.max(max,query[i][1]);
            }else{
                if(ans[query[i][1]]==-1){
                    ans[query[i][1]] = Math.max(max,query[i][2]);
                }
            }
        }
        
        for(int i=1;i<=n;i++){
            if(ans[i]==-1){
                ans[i] = Math.max(max,arr[i]);
            }
        }
        
        for(int i=1;i<=n;i++){
            out.print(ans[i]+" ");
        }
        out.println();
    }
    
    //<>
    
    static class Reader {

    private InputStream mIs;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;

    public Reader() {
        this(System.in);
    }

    public Reader(InputStream is) {
        mIs = is;
    }

    public int read() {
        if (numChars == -1) {
            throw new InputMismatchException();

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

    public String nextLine() {
        int c = read();
        while (isSpaceChar(c)) {
            c = read();
        }
        StringBuilder res = new StringBuilder();
        do {
            res.appendCodePoint(c);
            c = read();
        } while (!isEndOfLine(c));
        return res.toString();
    }

    public String next() {
        int c = read();
        while (isSpaceChar(c)) {
            c = read();
        }
        StringBuilder res = new StringBuilder();
        do {
            res.appendCodePoint(c);
            c = read();
        } while (!isSpaceChar(c));
        return res.toString();
    }

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

    public long nextLong() {
        int c = read();
        while (isSpaceChar(c)) {
            c = read();
        }
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        long 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 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 boolean isSpaceChar(int c) {
        return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }

    public boolean isEndOfLine(int c) {
        return c == '\n' || c == '\r' || c == -1;
    }

    }
}