153- Find Minimum in Rotated Sorted Array
**Question
Editorial Solution
Total Accepted: 100021
Total Submissions: 270435
Difficulty: Medium
Suppose a sorted array is rotated at some pivot unknown to you beforehand.
(i.e., 0 1 2 4 5 6 7
might become 4 5 6 7 0 1 2
).
Find the minimum element.
You may assume no duplicate exists in the array.
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Microsoft
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Array Binary Search
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(H) Search in Rotated Sorted Array (H) Find Minimum in Rotated Sorted Array II
public int findMin(int[] nums) {
/*
https://discuss.leetcode.com/topic/5170/java-solution-with-binary-search
The minimum element must satisfy one of two conditions: 1) If rotate, A[min] < A[min - 1]; 2) If not, A[0]. Therefore, we can use binary search: check the middle element, if it is less than previous one, then it is minimum. If not, there are 2 conditions as well: If it is greater than both left and right element, then minimum element should be on its right, otherwise on its left.
*/
int start = 0, end = nums.length - 1;
while (start < end) {
int mid = start + (end - start) / 2;
if (nums[end] < nums[mid]) {
start = mid + 1; // 转折点在mid 的右侧
} else {
end = mid;
}
}
return nums[start];
// start == end is the smallest value and also the number of places
}