Codeforces Round #344 (Div. 2) B. Print Check （模拟）

Codeforces Round #344 (Div. 2) B. Print Check （模拟）

B. Print Check

time limit per test

memory limit per test

input

output

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:

Paint all cells in rowriin colorai;Paint all cells in columnciin colorai.

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

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

1riai(1 ≤ri≤n, 1 ≤ai≤ 109), means that rowriis painted in colorai;2ciai(1 ≤ci≤m, 1 ≤ai≤ 109), means that columnciis painted in colorai.

Output

Print n lines containing m

Examples

input

3 3 31 1 32 2 11 2 2

output

3 1 3 2 2 2 0 1 0

input

5 3 51 1 11 3 11 5 12 1 12 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.

题解：每个操作将一行或一列的数都改为同一个数。输出最后的cells。模拟一下就可以啦。直接暴力会TLE23。。。试过了。。。

AC代码：

#pragma comment(linker, "/STACK:102400000,102400000")//#include#include#include#include#include#include#include#include

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