Problem:
Score : 200 points

Problem Statement

There are N rectangular plate materials made of special metal called AtCoder Alloy.
The dimensions of the i-th material are A_i \times B_i (A_i vertically and B_i horizontally).

Takahashi wants a rectangular plate made of AtCoder Alloy whose dimensions are exactly H \times W.
He is trying to obtain such a plate by choosing one of the N materials and cutting it if necessary.
When cutting a material, the cuts must be parallel to one of the sides of the material.
Also, the materials have fixed directions and cannot be rotated.
For example, a 5 \times 3 material cannot be used as a 3 \times 5 plate.

Out of the N materials, how many can produce an H \times W plate if properly cut?

Constraints

1 \leq N \leq 1000

1 \leq H \leq 10^9

1 \leq W \leq 10^9

1 \leq A_i \leq 10^9

1 \leq B_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N H W
A_1 B_1
A_2 B_2
:
A_N B_N

Output

Print the answer.

Sample Input 1

3 5 2
10 3
5 2
2 5

Sample Output 1

2

Takahashi wants a 5 \times 2 plate.

The dimensions of the first material are 10 \times 3. We can obtain a 5 \times 2 plate by properly cutting it.

The dimensions of the second material are 5 \times 2. We can obtain a 5 \times 2 plate without cutting it.

The dimensions of the third material are 2 \times 5. We cannot obtain a 5 \times 2 plate, whatever cuts are made. Note that the material cannot be rotated and used as a 5 \times 2 plate.

Sample Input 2

10 587586158 185430194
894597290 708587790
680395892 306946994
590262034 785368612
922328576 106880540
847058850 326169610
936315062 193149191
702035777 223363392
11672949 146832978
779291680 334178158
615808191 701464268

Sample Output 2

8

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

#include <bits/stdc++.h>
using namespace std;
using lli = long long int;
using ulli = unsigned long long int;
#define debug(x) cerr << #x << " : " << x << endl

namespace atcoder {
	void judge_outer(bool judge_exp, string ok = "Yes", string ng = "No") {
		if (judge_exp) {
			cout << ok << endl;
		}
		else {
			cout << ng << endl;
		}
	}

	template<typename T>
	T ncr(T left, T right) {
		right = min(left - right, right);
		T ans = 1;
		for (T i = 1; i <= right; i++) {
			ans = ans * (left - right + i) / i;
		}
		return ans;
	}

	const int LIMIT = 1000000007;
	const int tenfive = 100000;
}

using namespace atcoder;

int main() {
	int n, h, w;
	cin >> n >> h >> w;
	int ans = 0, hi, wi;
	for (int i = 0; i < n; i++) {
		cin >> hi >> wi;
		if (hi >= h && wi >= w) {
			ans++;
		}
		
	}
	cout << ans << endl;
	return 0;
}