Problem Statement

You have written $N$ problems to hold programming contests. The $i$-th problem will have a score of $P_i$ points if used in a contest.

With these problems, you would like to hold as many contests as possible under the following condition:

• A contest has three problems. The first problem has a score not greater than $A$ points, the second has a score between $A + 1$ and $B$ points (inclusive), and the third has a score not less than $B + 1$ points.

The same problem should not be used in multiple contests. At most how many contests can be held?

Constraints

• $3 \\leq N \\leq 100$
• $1 \\leq P_i \\leq 20$ ($1 \\leq i \\leq N$)
• $1 \\leq A < B < 20$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$N$ $A$ $B$ $P_1$ $P_2$ $...$ $P_N$

Output

Print the answer.

Sample Input 1

7
5 15
1 10 16 2 7 20 12

Sample Output 1

2

Two contests can be held by putting the first, second, third problems and the fourth, fifth, sixth problems together.

Sample Input 2

8
3 8
5 5 5 10 10 10 15 20

Sample Output 2

0

No contest can be held, because there is no problem with a score of $A = 3$ or less.

Sample Input 3

3
5 6
5 6 10

Sample Output 3

1