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?

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.

Constraints

• $1 \leq N \leq 1000$
• $1 \leq H \leq 10^9$
• $1 \leq W \leq 10^9$
• $1 \leq A_i \leq 10^9$
• $1 \leq B_i \leq 10^9$

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

见题面 Input 部分

见题面 Output 部分