153. Find Minimum in Rotated Sorted Array Day-6 of Blind 75
Problem:
You are given an array of integers nums sorted in ascending order but then rotated at some pivot. For example, the array 3, 4, 5, 1, 2 is a rotated version of 1, 2, 3, 4, 5. Your task is to find the minimum element in the array. The array contains no duplicate elements.
Key Insight:
In a rotated sorted array:
One-half of the array is always sorted.
The unsorted half contains the minimum.
Approach:
Use binary search to reduce the search space:
Compare the mid-element with the rightmost element:
If nums mid is greater then nums right], the minimum lies in the right half.
Otherwise, the minimum lies in the left half including the mid.
Narrow the range left and right accordingly.
Complexity:
Time complexity: 𝑂 log𝑛
O logn, as the search space is halved each iteration.
Space complexity: 𝑂1
O1, as no additional space is used.
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