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
#include <iostream>
#include <vector>
using namespace std;

typedef long long ll;
ll N,K;

ll merge_count(vector<ll> &a){
	int n = a.size();
	if(n<=1) return 0;
	ll cnt = 0;
	vector<ll> b(a.begin(),a.begin() + n/2);
	vector<ll> c(a.begin() + n/2, a.end());
	cnt += merge_count(b);
	cnt += merge_count(c);
	int ai = 0,bi = 0,ci = 0;
	while(ai<n){
		if(bi<b.size() && (ci == c.size() || b[bi] <= c[ci])){
			a[ai++] = b[bi++];
		}else{
			cnt += n/2 - bi;
			a[ai++] = c[ci++];
		}
	}
	return cnt;
}

int main(){
	cin >> N >> K;
	vector<ll> A(N+1);
	A[0] = 0;
	for(int i=1;i<=N;i++){
		cin >> A[i];
		A[i] -= K;
		A[i] += A[i-1];
	}
	cout << N*(N+1)/2 - merge_count(A) << endl;
}