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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <algorithm>
#include <cassert>
#include <iostream>
#include <map>
#include <queue>
#include <set>
#include <vector>

#include <limits.h>

using namespace std;

typedef long long ll;

template<class T>
inline bool chmax(T &a, T b) {
    if(a < b) {
        a = b;
        return true;
    }
    return false;
}

template<class T>
inline bool chmin(T &a, T b) {
    if(a > b) {
        a = b;
        return true;
    }
    return false;
}

const int MAX_N = 500;

// trains[i][j] means the number of trains which starts from i (=L) to j (=R)
vector<vector<int>> trains;

vector<vector<int>> acc;

int main(void) {
    int N, M, Q;
    cin >> N >> M >> Q;

    trains.resize(N + 1, vector<int>(N + 1, 0));
    for (int i = 0; i < M; i++) {
        int L, R;
        cin >> L >> R;
        trains[L][R]++;
    }

    acc.resize(N + 1, vector<int>(N + 1, 0));
    for (int l = 1; l <= N; l++) {
        for (int r = l; r <= N; r++) {
            acc[l][r] = acc[l][r - 1] + trains[l][r];
        }
    }
    for (int l = 1; l <= N; l++) {
        for (int r = 1; r <= N; r++) {
            acc[l][r] += acc[l - 1][r];
        }
    }

    // for (int l = 0; l <= N; l++) {
    //     for (int r = 0; r <= N; r++) {
    //         cout << acc[l][r] << " ";
    //     }
    //     cout << endl;
    // }

    for (int i = 0; i < Q; i++) {
        int p, q;
        cin >> p >> q;
        // printf("[%d, %d]\n", p, q);
        p--;

        cout << acc[q][q] - acc[p][q] - acc[q][p] + acc[p][p] << endl;
    }

    return 0;
}