You are given array $a$ of length $n$. You can choose one segment $[l, r]$ ($1 \le l \le r \le n$) and integer value $k$ (positive, negative or even zero) and change $a_l, a_{l + 1}, \dots, a_r$ by $k$ each (i.e. $a_i := a_i + k$ for each $l \le i \le r$).

What is the maximum possible number of elements with value $c$ that can be obtained after one such operation?

The first line contains two integers $n$ and $c$ ($1 \le n \le 5 \cdot 10^5$, $1 \le c \le 5 \cdot 10^5$) — the length of array and the value $c$ to obtain.

The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 5 \cdot 10^5$) — array $a$.

Print one integer — the maximum possible number of elements with value $c$ which can be obtained after performing operation described above.