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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Caddi2018
{
    class Program
    {
        static void Main(string[] args)
        {
            var obj = new Q2();
            obj.Solver();
        }
    }
    class Q2
    {

        class AB
        {
            public int A { get; set; }
            public int B { get; set; }
        }
        public void Solver()
        {
            var buf = Console.ReadLine().Split().Select(int.Parse).ToArray();

            var N = buf[0];
            var H = buf[1];
            var W = buf[2];

            var AB = new List<AB>();
            for (int i = 0; i < N; i++)
            {
                buf = Console.ReadLine().Split().Select(int.Parse).ToArray();
                AB.Add(new AB { A = buf[0], B = buf[1] });
            }

            var count = AB.Count(x => x.A >= H && x.B >= W);
            Console.WriteLine(count);

        }
    }

    //class Q1
    //{
    //    public void Solver()
    //    {
    //        var str = Console.ReadLine();

    //        Console.WriteLine(str.Count(s => s == '2'));

    //    }
    //}
}