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Leetcode Find Minimum in Rotated Sorted Array

时间:2015-10-22 06:46:13      阅读:249      评论:0      收藏:0      [点我收藏+]

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.


解题思路:

方法一:推荐用binary search.  O(logn)

(1) A[mid] < A[end]:A[mid : end] sorted => min不在A[mid+1 : end]中
搜索A[start : mid]
(2) A[mid] > A[end]:A[start : mid] sorted且又因为该情况下A[end]<A[start] => min不在A[start : mid]中
搜索A[mid+1 : end]
(3) base case:
a. start =  end,必然A[start]为min,为搜寻结束条件。
b. start + 1 = end,此时A[mid] =  A[start],而min = min(A[mid], A[end])。而这个条件可以合并到(1)和(2)中。

方法二:直接观察发现最小值就是某值比前面的那个数小,就是最小值。也对。当然复杂度是O(n). 还是方法一更好。 


Java code:

1. Binary search

public class Solution {
    public int findMin(int[] nums) {
        int left = 0, right = nums.length-1;
        while(left < right) {
            int mid = left + (right - left) / 2;
            if(nums[mid] < nums[right]){
                right = mid;
            }else{
                left = mid+1;
            }
        }
        return nums[left];
    }
}

2.

public class Solution {
    public int findMin(int[] nums) {
       for(int i = 1; i < nums.length; i++){
           if(nums[i] < nums[i-1]){
               return nums[i];
           }
       }
       return nums[0];
    }
}

Reference:

1. http://bangbingsyb.blogspot.com/2014/11/leecode-find-minimum-in-rotated-sorted.html

 

Leetcode Find Minimum in Rotated Sorted Array

原文:http://www.cnblogs.com/anne-vista/p/4899735.html

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