Problem Statement

You are given an integer sequence of length $N$, $a =$ {$a_1, a_2, …, a_N$}, and an integer $K$.

$a$ has $N(N+1)/2$ non-empty contiguous subsequences, {$a_l, a_{l+1}, …, a_r$} $(1 ≤ l ≤ r ≤ N)$. Among them, how many have an arithmetic mean that is greater than or equal to $K$?

Constraints

• All input values are integers.
• $1 ≤ N ≤ 2 \times 10^5$
• $1 ≤ K ≤ 10^9$
• $1 ≤ a_i ≤ 10^9$

Input

Input is given from Standard Input in the following format:

N K
a_1
a_2
:
a_N

Output

Print the number of the non-empty contiguous subsequences with an arithmetic mean that is greater than or equal to $K$.