Problem: Kris works in a large company "Blake Technologies". As a best engineer of the company he was assigned a task to develop a printer that will be able to print horizontal and vertical strips. First prototype is already built and Kris wants to tests it. He wants you to implement the program that checks the result of the printing.

Printer works with a rectangular sheet of paper of size n × m. Consider the list as a table consisting of n rows and m columns. Rows are numbered from top to bottom with integers from 1 to n, while columns are numbered from left to right with integers from 1 to m. Initially, all cells are painted in color 0.

Your program has to support two operations: 

  1. Paint all cells in row ri in color ai; 
  2. Paint all cells in column ci in color ai. 



If during some operation i there is a cell that have already been painted, the color of this cell also changes to ai.

Your program has to print the resulting table after k operation.

Input

The first line of the input contains three integers n, m and k (1 ≤ n, m ≤ 5000, n·m ≤ 100 000, 1 ≤ k ≤ 100 000) — the dimensions of the sheet and the number of operations, respectively.

Each of the next k lines contains the description of exactly one query: 

  * 1 ri ai (1 ≤ ri ≤ n, 1 ≤ ai ≤ 109), means that row ri is painted in color ai; 
  * 2 ci ai (1 ≤ ci ≤ m, 1 ≤ ai ≤ 109), means that column ci is painted in color ai. 

Output

Print n lines containing m integers each — the resulting table after all operations are applied.

Examples

Input

3 3 3
1 1 3
2 2 1
1 2 2


Output

3 1 3 
2 2 2 
0 1 0 


Input

5 3 5
1 1 1
1 3 1
1 5 1
2 1 1
2 3 1


Output

1 1 1 
1 0 1 
1 1 1 
1 0 1 
1 1 1 

Note

The figure below shows all three operations for the first sample step by step. The cells that were painted on the corresponding step are marked gray. 

<image>

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.math.BigInteger;
/*
 * This file was created by ayush in attempt to solve the problem problems
 */
public class main {
    public void solve(int n,int m,int k,int[] R,int[] C,int[] Color, PrintWriter out) {
	int[][] ans = new int[n][m];

//	for(int i=0;i<10;i++){
//		out.println("C:=>"+C[i]);
//		out.println("R:=>"+R[i]);
//		out.println("color:=> "+Color[i]);
//	}
	for(int i=0;i<n;i++){
		for(int j=0;j<m;j++){
//			out.println("max =>>>> "+Math.max(R[i],C[j]));
			ans[i][j]=Color[Math.max(R[i],C[j])];
		}
	}

	for(int i=0;i<n;i++){
		for(int j=0;j<m;j++){
			out.print(ans[i][j]+" ");
		}
		out.println();
	}
//	out.println(n+" "+m+" "+k);
    }

    public static void main(String[] args) throws Exception {
	
        FastScanner in = new FastScanner(System.in);
        PrintWriter out = new PrintWriter(System.out);
        
        int n = in.nextInt();
	int m = in.nextInt();
	int k = in.nextInt();	
        Date t1 = new Date();
        main solver = new main();
	int[] R = new int[100001];
	int[] C = new int[100001];
	int[] Color = new int[100001];
	for(int i=1;i<k+1;i++){
		int Q = in.nextInt();
		int rowCol = in.nextInt();
		int color = in.nextInt();
		if(Q==1){
			R[rowCol-1]=i;
		}else{
			C[rowCol-1]=i;
		}
		Color[i]=color;
        	//solver.solve( out);
        	//out.flush();
	}
	solver.solve(n,m,k,R,C,Color,out);
	out.flush();
        Date t2 = new Date();
        System.err.println(String.format("Your program took %f seconds", (t2.getTime() - t1.getTime()) / 1000.0));
        out.close();
	
		
	
    }
    static class FastScanner {

    private static BufferedReader reader;
    private static StringTokenizer tokenizer;


    public FastScanner(InputStream in) throws Exception {
        reader = new BufferedReader(new InputStreamReader(in));
        tokenizer = new StringTokenizer(reader.readLine().trim());
    }

    public int numTokens() throws Exception {
        if (!tokenizer.hasMoreTokens()) {
            tokenizer = new StringTokenizer(reader.readLine().trim());
            return numTokens();
        }
        return tokenizer.countTokens();
    }

    public boolean hasNext() throws Exception {
        if (!tokenizer.hasMoreTokens()) {
            tokenizer = new StringTokenizer(reader.readLine().trim());
            return hasNext();
        }
        return true;
    }

    public String next() throws Exception {
        if (!tokenizer.hasMoreTokens()) {
            tokenizer = new StringTokenizer(reader.readLine().trim());
            return next();
        }
        return tokenizer.nextToken();
    }

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

    public float nextFloat() throws Exception {
        return Float.parseFloat(next());
    }

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

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

    public int[] nextIntArray() throws Exception {
        String[] line = reader.readLine().trim().split(" ");
        int[] out = new int[line.length];
        for (int i = 0; i < line.length; i++) {
            out[i] = Integer.valueOf(line[i]);
        }
        return out;
    }

    public double[] nextDoubleArray() throws Exception {
        String[] line = reader.readLine().trim().split(" ");
        double[] out = new double[line.length];
        for (int i = 0; i < line.length; i++) {
            out[i] = Double.valueOf(line[i]);
        }
        return out;
    }

    public Integer[] nextIntegerArray() throws Exception {
        String[] line = reader.readLine().trim().split(" ");
        Integer[] out = new Integer[line.length];
        for (int i = 0; i < line.length; i++) {
            out[i] = Integer.valueOf(line[i]);
        }
        return out;
    }

    public BigInteger[] nextBigIngtegerArray() throws Exception {
        String[] line = reader.readLine().trim().split(" ");
        BigInteger[] out = new BigInteger[line.length];
        for (int i = 0; i < line.length; i++) {
            out[i] = new BigInteger(line[i]);
        }
        return out;
    }

    public String nextLine() throws Exception {
        return reader.readLine().trim();
    }

    public BigInteger nextBigInteger() throws Exception {
        return new BigInteger(next());
    }
    }


   


    static class DEBUG {
        public static void DebugInfo(String disp) {
            System.err.println("DEBUG Info: " + disp);
        }

        public static void DebugVariable(String variable, String value) {
            System.err.println("DEBUG Info: " + variable + " => " + value);
        }


        public static void DebugVariable(String variable, int value) {
            System.err.println("DEBUG Info: " + variable + " => " + value);
        }


        public static void DebugVariable(String variable, long value) {
            System.err.println("DEBUG Info: " + variable + " => " + value);
        }

        public static void DebugArray(int[] value) {
            for (int i = 0; i < value.length; i++) {

                System.err.println("DEBUG Info: " + i + " => " + value[i]);
            }
        }

    }

}