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# Search for a Range

Problem Description

Given a sorted array of integers A(0 based index) of size N, find the starting and the ending position of a given integer B in array A.

Your algorithm's runtime complexity must be in the order of `O(log n)`.

Return an array of size 2, such that the first element = starting position of B in A and the second element = ending position of B in A, if B is not found in A return [-1, -1].

Problem Constraints

1 <= N <= 106

1 <= A[i], B <= 109

Input Format

The first argument given is the integer array A.
The second argument given is the integer B.

Output Format

Return an array of size 2, such that the first element = starting position of B in A and the second element = the ending position of B in A if B is not found in A return [-1, -1].

Example Input

Input 1:

``` A = [5, 7, 7, 8, 8, 10]
B = 8```

Input 2:

``` A = [5, 17, 100, 111]
B = 3```

Example Output

Output 1:

` [3, 4]`

Output 2:

` [-1, -1]`

Example Explanation

Explanation 1:

``` The first occurence of 8 in A is at index 3.
The second occurence of 8 in A is at index 4.
ans = [3, 4]```

Explanation 2:

` There is no occurence of 3 in the array.`

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.
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