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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Scanner;
import java.util.stream.IntStream;

class Main{
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int N = in.nextInt(),
                M = in.nextInt(),
                Q = in.nextInt();
        int l, r;

        // input
        ArrayList<Integer>[] train = new ArrayList[N];
        IntStream.range(0, N).parallel().forEach(i->train[i] = new ArrayList<>());
        while (M-- > 0) {
            l = in.nextInt();
            r = in.nextInt();
            train[l - 1].add(r);
        }

        // sort
        Arrays.stream(train).parallel().forEach(e -> e.sort(null));

        // answering queries
        while (Q-- > 0) {
            l = in.nextInt();
            final int rf = in.nextInt();
            System.out.println(
                    IntStream.range(l - 1, rf)
                            .parallel()
                            .mapToLong(i -> {
                                int bs = Collections.binarySearch(train[i],rf);
                                return (bs<0 ? -1-bs : 1+bs);
                            })
                            .sum()
            );
        }

    }
}