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
bit = [0 for _ in range(252525)]

def get(r):
    r += 1

    res = 0
    while r > 0:
        res += bit[r]
        r -= r & -r
    
    return res

def update(k, x):
    k += 1

    while k < 252525:
        bit[k] += x
        k += k & -k
    
    return

n, k = map(int, input().split())

a = [int(input()) for _ in range(n)]

v = [0]

for i in range(n):
    v.append(v[i] + a[i])

for i in range(n + 1):
    v[i] -= i * k

st = sorted(list(set(v)))
mp = {t:i for i, t in enumerate(st)}

ans = 0

for i in range(n + 1):
    ans += get(mp[v[i]])
    update(mp[v[i]], 1)

print(ans)