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
import sys
input = sys.stdin.readline


class Bit:
    def __init__(self, n):
        self.size = n
        self.tree = [0] * (n + 1)

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

    def add(self, i, x):
        while i <= self.size:
            self.tree[i] += x
            i += i & -i


def main():
    N, K = map(int, input().split())
    ac = [0] * (N + 1)
    place = {0: 0}
    for i in range(N):
        a = int(input()) - K
        ac[i+1] = ac[i] + a * (10 ** 5) + 1
        place[ac[i+1]] = i+1
    ac.sort()
    ac_cmpr = [0] * (N+1)
    for i in range(N+1):
        ac_cmpr[place[ac[i]]] = i + 1
    bit = Bit(N+2)
    bit.add(ac_cmpr[0], 1)
    ans = 0
    for i in range(1, N+1):
        ans += bit.sum(ac_cmpr[i])
        bit.add(ac_cmpr[i], 1)

    print(ans)


if __name__=='__main__':
    main()
