Statement

Old timers of Summer Informatics School can remember previous camps in which each student was given a drink of his choice on the vechorka (late-evening meal). Or may be the story was more complicated?

There are $n$ students living in a building, and for each of them the favorite drink $a_i$ is known. So you know $n$ integers $a_1, a_2, \dots, a_n$ , where $a_i$ ( $1 \le a_i \le k$ ) is the type of the favorite drink of the $i$ -th student. The drink types are numbered from $1$ to $k$ .

There are infinite number of drink sets. Each set consists of exactly two portions of the same drink. In other words, there are $k$ types of drink sets, the $j$ -th type contains two portions of the drink $j$ . The available number of sets of each of the $k$ types is infinite.

You know that students will receive the minimum possible number of sets to give all students exactly one drink. Obviously, the number of sets will be exactly $\lceil \frac{n}{2} \rceil$ , where $\lceil x \rceil$ is $x$ rounded up.

After students receive the sets, they will distribute their portions by their choice: each student will get exactly one portion. Note, that if $n$ is odd then one portion will remain unused and the students' teacher will drink it.

What is the maximum number of students that can get their favorite drink if $\lceil \frac{n}{2} \rceil$ sets will be chosen optimally and students will distribute portions between themselves optimally?

Format

Input

The first line of the input contains two integers $n$ and $k$ ( $1 \le n, k \le 1\,000$ ) — the number of students in the building and the number of different drinks.

The next $n$ lines contain student's favorite drinks. The $i$ -th line contains a single integer from $1$ to $k$ — the type of the favorite drink of the $i$ -th student.

Output

Print exactly one integer — the maximum number of students that can get a favorite drink.

Sample

5 3
1
3
1
1
2

4

10 3
2
1
3
2
3
3
1
3
1
2

9