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
# Binary Indexed Tree (Fenwick Tree)
class BIT:
  def __init__(self, n):
    self.n = n
    self.bit = [0]*(n+1)
    self.el = [0]*(n+1)
  def sum(self, i):
    s = 0
    while i > 0:
      s += self.bit[i]
      i -= i & -i
    return s
  def add(self, i, x):
    # assert i > 0
    self.el[i] += x
    while i <= self.n:
      self.bit[i] += x
      i += i & -i

N, K = map(int, input().split())
A = [int(input())-K for _ in range(N)]
from itertools import groupby, accumulate, product, permutations, combinations
cum = [0]+list(accumulate(A))
comp = lambda arr: {e: i+1 for i, e in enumerate(sorted(set(arr)))}
compcum = comp(cum)
for i in range(N+1):
  cum[i] = compcum[cum[i]]
bit = BIT(N+1)
ans = 0
for i in range(N+1):
  ans += bit.sum(cum[i])
  bit.add(cum[i],1)
print(ans)

