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 BinaryIndexedTree:
  def __init__(self, size):
    self.data = [0] * (size+1)
    self.size = size
  
  def add(self, i, w):
    while i <= self.size:
      self.data[i] += w
      i += i & -i

  def sum(self, i):
    result = 0
    while i > 0:
      result += self.data[i]
      i -= i & -i
    return result

from bisect import bisect

N,K = map(int, input().split())

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

t = 0
B = [t]
for a in A:
  t += a - K
  B.append(t)

temp = sorted(B)
C = [bisect(temp, b) for b in B]

result = 0
bit = BinaryIndexedTree(N+1)

for c in C:
  result += bit.sum(c)
  bit.add(c,1)

print(result)