How to Solve Find Minimum in Rotated Sorted Array Problem
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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...
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Understanding the Find Minimum in Rotated Sorted Array Problem
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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. You must write an algorithm that runs in O(log n) time.
Find Minimum in Rotated Sorted Array
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Examples
nums = [3,4,5,1,2]
1
The original array was [1,2,3,4,5] rotated 3 times.
nums = [4,5,6,7,0,1,2]
0
The original array was [0,1,2,4,5,6,7] and it was rotated 4 times.
nums = [11,13,15,17]
11
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.
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