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Find Minimum in Rotated Sorted Array

Medium

Given a sorted array that has been rotated at some unknown pivot, find the minimum element. You must write an algorithm that runs in O(log N) time.

Example:

Input: nums = [3,4,5,1,2]
Output: 1
Explanation: The minimum value in the rotated array is 1.

Input: nums = [4,5,6,7,0,1,2]
Output: 0
Explanation: The minimum value in the rotated array is 0.

Test Cases

Input

30 40 50 10 20

Expected Output

Step 1

Step 2

Step 3

Step 4

Step 1: Identify the Pattern

Brute Force1

Binary Search2

Two Pointers3

Dynamic Programming4

Find Minimum in Rotated Sorted Array

Medium

Given a sorted array that has been rotated at some unknown pivot, find the minimum element. You must write an algorithm that runs in O(log N) time.

Example:

Input: nums = [3,4,5,1,2]
Output: 1
Explanation: The minimum value in the rotated array is 1.

Input: nums = [4,5,6,7,0,1,2]
Output: 0
Explanation: The minimum value in the rotated array is 0.

Test Cases

Input

30 40 50 10 20

Expected Output

Step 1

Step 2

Step 3

Step 4

Step 1: Identify the Pattern

Brute Force1

Binary Search2

Two Pointers3

Dynamic Programming4

Example:

Test Cases

Example:

Test Cases

Study Notes

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