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# Search in Bitonic Array!

Problem Description

Given a bitonic sequence A of N distinct elements, write a program to find a given element B in the bitonic sequence in O(logN) time.

NOTE:

• A Bitonic Sequence is a sequence of numbers which is first strictly increasing then after a point strictly decreasing.

• Problem Constraints

3 <= N <= 105

1 <= A[i], B <= 108

Given array always contain a bitonic point.

Array A always contain distinct elements.

Input Format

First argument is an integer array A denoting the bitonic sequence.

Second argument is an integer B.

Output Format

Return a single integer denoting the position (0 index based) of the element B in the array A if B doesn't exist in A return -1.

Example Input

Input 1:

``` A = [3, 9, 10, 20, 17, 5, 1]
B = 20
```

Input 2:

``` A = [5, 6, 7, 8, 9, 10, 3, 2, 1]
B = 30
```

Example Output

Output 1:

``` 3
```

Output 2:

``` -1
```

Example Explanation

Explanation 1:

``` B = 20 present in A at index 3
```

Explanation 2:

``` B = 30 is not present in A
```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
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• Solution Approach
• Complete Solution

## Discussion

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