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?

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.

Constraints

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

Sample Input 1

3 6
7
5
7

Sample Output 1

5

All the non-empty contiguous subsequences of a are listed below:

• {a_1} = {7}
• {a_1, a_2} = {7, 5}
• {a_1, a_2, a_3} = {7, 5, 7}
• {a_2} = {5}
• {a_2, a_3} = {5, 7}
• {a_3} = {7}

Their means are 7, 6, 19/3, 5, 6 and 7, respectively, and five among them are 6 or greater. Note that {a_1} and {a_3} are indistinguishable by the values of their elements, but we count them individually.

Sample Input 2

1 2
1

Sample Output 2

0

Sample Input 3

7 26
10
20
30
40
30
20
10

Sample Output 3

13

见题面 Input 部分

见题面 Output 部分