LC.153.Find Minimum in Rotated Sorted Array

https://leetcode.com/problems/find-minimum-in-rotated-sorted-array/description/
Suppose an array sorted in ascending order 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.
注意,我们要找的最小值,只会在右端,所以如果已经在右端,则挪RIGHT
如果在左端,则挪LEFT 往右端的深沟走

time: o(logn) space: o(1)

 1 public int findMin(int[] nums) {
 2         if (nums ==null || nums.length ==0) return -1 ;
 3         int left = 0, right = nums.length -1 ;
 4         while(left + 1 < right){
 5             int mid = left +(right-left)/2 ;
 6             //lower part
 7             if (nums[mid]<nums[right]){
 8                 right = mid ;
 9             }
10             //upper part: 这里没有 duplicate, 所以写 nums[mid] > nums[left] 一样通过
11             else if(nums[mid]>nums[right]){
12                 left = mid ;
13             }
14         }
15         //post processing
16         return Math.min(nums[left], nums[right]) ;
17     }

这个笨方法也能通过

 1 public int findMin(int[] nums) {
 2         if (nums ==null || nums.length ==0) return -1 ;
 3         int left = 0, right = nums.length -1 ;
 4         while(left + 1 < right){
 5             int mid = left +(right-left)/2 ;
 6             //this is the case for test case [1,2,3]: not necessary rotated
 7             if(nums[left] <= nums[mid] && nums[mid]<=nums[right]){
 8                 right = mid ;
 9             }
10             else if (nums[mid] > nums[left] && nums[mid]>=nums[right]){
11                 left = mid ;
12             } else if(nums[mid]<=nums[left]){
13                 right = mid ;
14             }
15         }
16         //post processing
17         return Math.min(nums[left], nums[right]) ;
18     }
原文地址:https://www.cnblogs.com/davidnyc/p/8468908.html