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
class BIT:
  def __init__(self, n):
    self.n = n
    self.data = [0]*(n+1)
    self.el = [0]*(n+1)
  def sum(self, i):
    s = 0
    while i > 0:
      s += self.data[i]
      i -= i & -i
    return s
  def add(self, i, x):
    # assert i > 0
    self.el[i] += x
    while i <= self.n:
      self.data[i] += x
      i += i & -i
  def get(self, i, j=None):
    if j is None:
      return self.el[i]
    return self.sum(j) - self.sum(i)


def main(n,k,a):
  b=[x-k for x in a]
  tmp=0
  cb=[tmp]
  for x in b:
    tmp+=x
    cb.append(tmp)
  from bisect import bisect_right
  cbb=cb.copy()
  cbb.sort()
  cb=[bisect_right(cbb,x) for x in cb]
  bit=BIT(n+2)
  ans=0
  for x in cb:
    ans+=bit.sum(x)
    bit.add(x,1)
  return ans

n,k=map(int,input().split())
a=[int(input()) for _ in range(n)]
print(main(n,k,a))
