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

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`