Problem:
Score: 400 points

Problem Statement

In Takahashi Kingdom, there is a east-west railroad and N cities along it, numbered 1, 2, 3, ..., N from west to east.
A company called AtCoder Express possesses M trains, and the train i runs from City L_i to City R_i (it is possible that L_i = R_i).
Takahashi the king is interested in the following Q matters:

The number of the trains that runs strictly within the section from City p_i to City q_i, that is, the number of trains j such that p_i \leq L_j and R_j \leq q_i.

Although he is genius, this is too much data to process by himself. Find the answer for each of these Q queries to help him.

Constraints

N is an integer between 1 and 500 (inclusive).

M is an integer between 1 and 200 \ 000 (inclusive).

Q is an integer between 1 and 100 \ 000 (inclusive).

1 \leq L_i \leq R_i \leq N (1 \leq i \leq M)

1 \leq p_i \leq q_i \leq N (1 \leq i \leq Q)

Input

Input is given from Standard Input in the following format:

N M Q
L_1 R_1
L_2 R_2
:
L_M R_M
p_1 q_1
p_2 q_2
:
p_Q q_Q

Output

Print Q lines. The i-th line should contain the number of the trains that runs strictly within the section from City p_i to City q_i.

Sample Input 1

2 3 1
1 1
1 2
2 2
1 2

Sample Output 1

3

As all the trains runs within the section from City 1 to City 2, the answer to the only query is 3.

Sample Input 2

10 3 2
1 5
2 8
7 10
1 7
3 10

Sample Output 2

1
1

The first query is on the section from City 1 to 7. There is only one train that runs strictly within that section: Train 1.
The second query is on the section from City 3 to 10. There is only one train that runs strictly within that section: Train 3.

Sample Input 3

10 10 10
1 6
2 9
4 5
4 7
4 7
5 8
6 6
6 7
7 9
10 10
1 8
1 9
1 10
2 8
2 9
2 10
3 8
3 9
3 10
1 10

Sample Output 3

7
9
10
6
8
9
6
7
8
10

Solution in PHP7 (7.0.15) (judge verdict: Time Limit Exceeded)

<?php

while (true) {
	$input = trim(fgets(STDIN));
	$input = explode(" ", $input);
	foreach ($input as $value) {
		$args[] = $value;
		if (count($args) == 3) {
			break;
		}
	}
	if (count($args) == 3) {
		break;
	}
}
$n = (int)$args[0];
$m = (int)$args[1];
$q = (int)$args[2];

$tbl=[];
for ($i=1; $i <=$n ; $i++) { 
	for ($j=1; $j <=$n ; $j++) { 
		$tbl[$i][$j] = 0;
	}
}

$count = 0;
$array = [];
while ($count < $m + $q) {
	$input = trim(fgets(STDIN));
	$input = explode(" ", $input);
	$tmp['l'] = (int)$input[0];
	$tmp['r'] = (int)$input[1];
	$array[] = $tmp;
	++$count;
}

$count = 0;
foreach ($array as $value) {
	if ($count < $m) {
		for ($i=1; $i <= $value['l']; $i++) { 
			for ($j=$value['r']; $j <= $n; $j++) { 
				$tbl[$i][$j] += 1;
			}
		}
	}elseif ($count < $m + $q) {
		echo $tbl[$value['l']][$value['r']].PHP_EOL;
	}else{
		break;
	}
		++$count;
}