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Given a sorted and rotated array A of N distinct elements which is rotated at some point, and given an element key. The task is to find the index of the given element key in the array A.
Example 1:
Input:
N = 9
A[] = {5, 6, 7, 8, 9, 10, 1, 2, 3}
key = 10
Output:
5
Explanation: 10 is found at index 5.
Example 2:
Input: N = 4 A[] = {3, 5, 1, 2} key = 6 Output: -1 Explanation: There is no element that has value 6.
Your Task:
Complete the function search() which takes an array arr[] and start, end index of the array and the K as input parameters, and returns the answer.
Can you solve it in expected time complexity?
Expected Time Complexity: O(log N).
Expected Auxiliary Space: O(1).
Constraints:
1 ≤ N ≤ 107
0 ≤ A[i] ≤ 108
1 ≤ key ≤ 108
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