Playlist

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

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

Input

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

The next line has $nn$ integers $k_1,k_2,\dots ,k_{n}k\_1,k\_2,\backslash ldots,k\_n$: the id number of each song.

Output

Print the length of the longest sequence of unique songs.