Given an array of n positive integers, your task is to count the number of subarrays having sum x.

Input

The first input line has two integers n and x: the size of the array and the target sum x.

The next line has n integers a_1,a_2,\dots,a_n: the contents of the array.

Output

Print one integer: the required number of subarrays.

Constraints

• 1 \le n \le 2 \cdot 10^5
• 1 \le x,a_i \le 10^9

Example

Input:

5 7
2 4 1 2 7

Output:

3