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
from collections import defaultdict
n, k = map(int, input().split())

a = [int(input()) - k for _ in range(n)]
s = [0] * (n + 1)
for i in range(n):
	s[i + 1] = s[i] + a[i]

mp = defaultdict(int)
b = sorted(list(set(s)))
num = 1
for c in b:
	mp[c] = num
	num += 1
m = len(mp)
d = [0] * (m + 1)

def add(i):
	while i <= m:
		d[i] += 1
		i += i & -i
def qqq(i):
	res = 0
	while i > 0:
		res += d[i]
		i -= i & -i
	return res

ans = 0
for i in range(n + 1):
	ans += qqq(mp[s[i]])
	add(mp[s[i]])
print(ans)
