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.

Examples

Input

3 6
7
5
7


Output

5


Input

1 2
1


Output

0


Input

7 26
10
20
30
40
30
20
10


Output

13
n,k=map(int,input().split())
a=[0]+[int(input())-k for _ in range(n)]
sm=0
ac=[]
for ai in a:
    sm+=ai
    ac.append(sm)


def rec(l):
    ll=len(l)
    if ll<=1:
        return 0
    l1=l[:ll//2]
    l2=l[ll//2:]
    res=rec(l1)+rec(l2)
    l1.sort()
    l2.sort()
    i2=0
    for i in range(len(l1)):
        while i2<len(l2) and l2[i2]<l1[i]:
            res+=len(l1)-i
            i2+=1
    return res
print(n*(n+1)//2-rec(ac))
    
    