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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.Writer;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Arthur Gazizov  [2oo7] - Kazan FU
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastScanner in = new FastScanner(inputStream);
        FastPrinter out = new FastPrinter(outputStream);
        TaskB solver = new TaskB();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskB {
        public void solve(int testNumber, FastScanner in, FastPrinter out) {
            int n = in.nextInt();
            int m = in.nextInt();
            int k = in.nextInt();
            Query[] queries = new Query[k];
            for (int i = 0; i < k; i++) {
                queries[i] = new Query(in.nextInt(), in.nextInt() - 1, in.nextInt());
            }
            boolean[] line = new boolean[n];
            boolean[] colomn = new boolean[m];
            int[][] field = new int[n][m];
            for (int i = k - 1; i >= 0; i--) {
                if (queries[i].getType() == 1) {
                    if (!line[queries[i].getId()]) {
                        for (int j = 0; j < m; j++) {
                            if (field[queries[i].getId()][j] == 0) {
                                field[queries[i].getId()][j] = queries[i].getColor();
                            }
                        }
                        line[queries[i].getId()] = true;
                    }
                } else {
                    if (!colomn[queries[i].getId()]) {
                        for (int j = 0; j < n; j++) {
                            if (field[j][queries[i].getId()] == 0) {
                                field[j][queries[i].getId()] = queries[i].getColor();
                            }
                        }
                        colomn[queries[i].getId()] = true;
                    }
                }
            }
            for (int i = 0; i < n; i++) {
                out.print(field[i]).print('\n');
            }
        }

    }

    static class Query {
        int type;
        int id;
        int color;

        public Query(int type, int id, int color) {
            this.color = color;
            this.id = id;
            this.type = type;
        }

        public int getColor() {
            return color;
        }

        public int getType() {
            return type;
        }

        public int getId() {
            return id;
        }

    }

    static class FastPrinter extends PrintWriter {
        public FastPrinter(Writer writer) {
            super(writer);
        }

        public FastPrinter(OutputStream out) {
            super(out);
        }

        public FastPrinter print(int[] values) {
            for (int i = 0; i < values.length; i++) {
                if (i != 0) super.print(' ');
                super.print(values[i]);
            }
            return this;
        }

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

    }

    static class FastScanner extends BufferedReader {
        boolean isEOF;

        public FastScanner(InputStream is) {
            super(new InputStreamReader(is));
        }

        public FastScanner(InputStreamReader inputStreamReader) {
            super(inputStreamReader);
        }

        public int read() {
            try {
                int ret = super.read();
                if (isEOF && ret < 0) {
                    throw new InputMismatchException();
                }
                isEOF = ret == -1;
                return ret;
            } catch (IOException e) {
                throw new InputMismatchException();
            }
        }

        public static boolean isWhiteSpace(int c) {
            return c >= -1 && c <= 32;
        }

        public int nextInt() {
            int c = read();
            while (isWhiteSpace(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int ret = 0;
            while (!isWhiteSpace(c)) {
                if (c < '0' || c > '9') {
                    throw new NumberFormatException("digit expected " + (char) c
                            + " found");
                }
                ret = ret * 10 + c - '0';
                c = read();
            }
            return ret * sgn;
        }

        public String readLine() {
            try {
                return super.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return null;
        }

    }
}