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Find Rotation Count

1. Given an ascending sorted rotated array arr of distinct integers of size N. 2. The array is right rotated K times. 3. Your task is to find the value of K.

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Find Rotation Count

easy

1. Given an ascending sorted rotated array arr of distinct integers of size N. 2. The array is right rotated K times. 3. Your task is to find the value of K.

Constraints

1 <= N <=10^5 1 <= arr[i] <= 10^7

Format

Input

Input is managed for you

Output

Output is managed for you

Example

Sample Input

6 5 6 1 2 3 4

Sample Output

2

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