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:

/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */

/**
 *
 * @author Administrator
 */
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.HashMap;
import java.util.StringTokenizer;

//codeforce
public class Main454545 {

	private static BufferedReader in;
	private static PrintWriter out;
	private static StringTokenizer input;

	public static void main(String[] args) throws IOException {
		// -------------------------------------------------------------------------
		// Initializing...
		new Main454545();
		// -------------------------------------------------------------------------
		// put your code here... :)
		int n = nextInt();
		int m = nextInt();
		int k = nextInt();
		int[][] array = new int[n][m];
		HashMap<Integer, String> rowMap = new HashMap<>();
		HashMap<Integer, String> colMap = new HashMap<>();
		for (int i = 0; i < k; i++) {
			int type = nextInt();
			int rowCol = nextInt() - 1;
			int a = nextInt();
			if (type == 1)
				rowMap.put(rowCol, a + ";" + i);
			else
				colMap.put(rowCol, a + ";" + i);
		}
		for (int i = 0; i < n; i++) {
			int rowVal = -1;
			String tempRow = "";
			int pRow = 0;
			if (rowMap.containsKey(i)) {
				tempRow = rowMap.get(i);
				rowVal = Integer.parseInt(tempRow.split(";")[0]);
				pRow = Integer.parseInt(tempRow.split(";")[1]);
			}
			for (int j = 0; j < m; j++) {
				int colVal = -1;
				String tempCol = "";
				int curVal = 0;
				int pCol = 0;
				if (colMap.containsKey(j)) {
					tempCol = colMap.get(j);
					colVal = Integer.parseInt(tempCol.split(";")[0]);
					pCol = Integer.parseInt(tempCol.split(";")[1]);
					if (rowVal != -1) {
						if (pRow> pCol) {
							curVal = rowVal;
						} else {
							curVal = colVal;
						}
					} else {
						curVal = colVal;
					}
				} else {
					if(rowVal ==-1){
						curVal=0;
					}else{
						curVal = rowVal;
					}
				}
				System.out.print(curVal + " ");
			}
			System.out.println();
		}
		end();
		// --------------------------------------------------------------------------

	}

	public Main454545() throws IOException {
		// Input Output for Console to be used for trying the test samples of
		// the problem
		in = new BufferedReader(new InputStreamReader(System.in));
		out = new PrintWriter(System.out);
		// -------------------------------------------------------------------------
		// Initalize Stringtokenizer input
		input = new StringTokenizer(in.readLine());
	}

	private static int nextInt() throws IOException {
		if (!input.hasMoreTokens())
			input = new StringTokenizer(in.readLine());
		return Integer.parseInt(input.nextToken());
	}

	private static void end() throws IOException {
		in.close();
		out.close();
		System.exit(0);
	}

}