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+1
    self.BIT=[0]*self.n
  def add(self,i,x):
    idx=i
    while idx<self.n:
      self.BIT[idx]+=x
      idx+=(idx&-idx)
  def _sum(self,i):
    ret=0
    idx=i
    while idx>0:
      ret+=self.BIT[idx]
      idx-=(idx&-idx)
    return ret
  def sum(self,l,r):
    return self._sum(r)-self._sum(l-1)
  def value(self,i):
    return self._sum(i)-self._sum(i-1)

n,k=map(int,input().split())
arr=[0]+[int(input()) for _ in range(n)]
for i in range(1,n+1):
  arr[i]+=arr[i-1]-k
s=set(arr)
key=sorted(list(s))
dic={}
for i in range(len(key)):
  dic[key[i]]=i+1
bit=BIT(len(key)+1)
ans=0
bit.add(dic[0],1)
for i in range(1,n+1):
  ans+=bit.sum(1,dic[arr[i]])
  bit.add(dic[arr[i]],1)
print(ans)