E. Increasing Frequency
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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?

Input

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 $a$.

Output

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

Examples
Input
6 9
9 9 9 9 9 9

Output
6

Input
3 2
6 2 6

Output
2

Note

In the first example we can choose any segment and $k = 0$. The array will stay same.

In the second example we can choose segment $[1, 3]$ and $k = -4$. The array will become $[2, -2, 2]$.