# LeetCode — Find Minimum in Rotated Sorted Array

Suppose an array of length `n`

sorted in ascending order is **rotated** between `1`

and `n`

times. For example, the array `nums = [0,1,2,4,5,6,7]`

might become:

`[4,5,6,7,0,1,2]`

if it was rotated`4`

times.`[0,1,2,4,5,6,7]`

if it was rotated`7`

times.

Notice that **rotating** an array `[a[0], a[1], a[2], ..., a[n-1]]`

1 time results in the array `[a[n-1], a[0], a[1], a[2], ..., a[n-2]]`

.

Given the sorted rotated array `nums`

of **unique** elements, return *the minimum element of this array*.

You must write an algorithm that runs in `O(log n) time.`

**Example 1:**

**Input:** nums = [3,4,5,1,2]

**Output:** 1

**Explanation:** The original array was [1,2,3,4,5] rotated 3 times.

**Example 2:**

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

**Output:** 0

**Explanation:** The original array was [0,1,2,4,5,6,7] and it was rotated 4 times.

**Example 3:**

**Input:** nums = [11,13,15,17]

**Output:** 11

**Explanation:** The original array was [11,13,15,17] and it was rotated 4 times.

**Constraints:**

`n == nums.length`

`1 <= n <= 5000`

`-5000 <= nums[i] <= 5000`

- All the integers of
`nums`

are**unique**. `nums`

is sorted and rotated between`1`

and`n`

times.

Solution:

Time complexity: O(log^N)

Space complexity: O(1)