Search in Rotated Sorted Array

Medium

Search in Rotated Sorted Array

There is an integer array

nums
sorted in ascending order (with distinct values).

Prior to being passed to your function,

nums
is possibly rotated at an unknown pivot index
k
(1 <= k < nums.length)
such that the resulting array is
[nums[k], nums[k+1], ..., nums[n-1], nums[0], nums[1], ..., nums[k-1]]
(0-indexed). For example,
[0,1,2,4,5,6,7]
might be rotated at pivot index
3
and become
[4,5,6,7,0,1,2]
.

Given the array

nums
after the possible rotation and an integer
target
, return the index of
target
if it is in
nums
, or
-1
if it is not in
nums
.

You must write an algorithm with

O(log n)
runtime complexity.


Examples

Example 1:

Input: nums = [4,5,6,7,0,1,2], target = 0 Output: 4

Example 2:

Input: nums = [4,5,6,7,0,1,2], target = 3 Output: -1

Example 3:

Input: nums = [1], target = 0 Output: -1

Constraints

  • 1 <= nums.length <= 5000
  • -10^4 <= nums[i] <= 10^4
  • All values of
    nums
    are unique.
  • nums
    is an ascending array that is possibly rotated.
  • -10^4 <= target <= 10^4
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