LogiQuest

454. Distribute Candies

EasyHash Set

You have n candies (n is even) and may eat n/2 of them. Print the maximum number of different types you can eat.

Input format

Line 1: n Line 2: n candy types

Output format

The maximum number of types.

Example 1

Input

6
1 1 2 2 3 3

Output

3

Example 2

Input

4
1 1 2 3

Output

2

Constraints

2 ≤ n ≤ 10⁴

Read input from standard input and print the answer to standard output. Your code is judged against 3 test cases, most of them hidden.

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