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Problem 4: Inflection Point Discovery

Problem Statement

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.

Input Format

  • A rotated sorted array nums.

Example

Input: nums = [3, 4, 5, 1, 2]
Output: 1 Explanation: The original array was [1, 2, 3, 4, 5] rotated 3 times.