**Time limit:**1.00 s**Memory limit:**512 MB

You are given a playlist of a radio station since its establishment. The playlist has a total of n songs.

What is the longest sequence of successive songs where each song is unique?

# Input

The first input line contains an integer n: the number of songs.

The next line has n integers k_1,k_2,\ldots,k_n: the id number of each song.

# Output

Print the length of the longest sequence of unique songs.

# Constraints

- 1 \le n \le 2 \cdot 10^5
- 1 \le k_i \le 10^9

# Example

Input:

8 1 2 1 3 2 7 4 2

Output:

5