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Count Of Subarrays Having Sum Equals To K

1. You are given an array of integers(arr) and a number K. 2. You have to find the count of subarrays whose sum equals k.

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Count Of Subarrays Having Sum Equals To K

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1. You are given an array of integers(arr) and a number K. 2. You have to find the count of subarrays whose sum equals k.

Constraints

1 <= N <= 10^5 -1000 <= arr[i] <= 1000 -10^9 <= K <= 10^9

Format

Input

A number N arr1 arr2.. N numbers A number K

Output

A number representing the count of subarrays having sum equal to K.

Example

Sample Input

3 1 1 1 2

Sample Output

2

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