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())
src = [int(input()) for i in range(N)]

cums = [(0,1)]
for i,a in enumerate(src):
    cums.append((cums[-1][0] + a - K, i+2))

bit = [0] * (N+2)
def bit_add(a,w):
    x = a
    while x <= N:
        bit[x] += w
        x += (x & -x)

def bit_sum(a):
    x = a
    ret = 0
    while x > 0:
        ret += bit[x]
        x -= (x & -x)
    return ret

ans = 0
for i,a in sorted(cums):
    ans += bit_sum(a-1)
    bit_add(a, 1)
print(ans)
