标签:alt tar hand dup 看到了 .net turn abi div
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
).
You are given a target value to search. If found in the array return its index, otherwise return -1.
You may assume no duplicate exists in the array.
这个题以前是做过的,大概是时间久了,有些荒废,隐约记得是采用二分的思路来解题,看到了博客上有些人的解法思路挺清晰的,借鉴于此
整个思路是采用二分,但是由于有序数组进行了旋转,所以可以使用二分的范围有所变化,可以根据最左值、最右值和中间值的关系,将其划分为三种情况,
如下图所示:
在第一种情况下,左值小于中间值,中间值小于右值,整体可以使用二分的策略。
在第二种情况下,左值小于中间值且左值不小于右值,即中间值左侧可以使用二分进行划分。
在第三种情况下,中间值小于右值小于左值和右值(所谓的剩余情况),即中间值的右侧可以使用二分进行划分。
代码如下:
public class Solution { public int search(int[] nums, int target) { if(nums==null||nums.length==0) return -1; int lo = 0,hi = nums.length-1; int mid = (lo+hi)/2; while(lo<=hi){ mid = lo+(hi-lo)/2; if(target==nums[mid]) return mid; if(nums[lo]<=nums[hi]){ if(target>nums[mid]) lo = mid+1; else hi = mid-1; }else if(nums[lo]<=nums[mid]){ if(nums[lo]<=target&&nums[mid]>target) hi = mid-1; else lo = mid+1; }else{ if(nums[mid]<target&&nums[hi]>=target) lo = mid+1; else hi = mid-1; } } return -1; } }
更详细的解答可参考链接:http://blog.csdn.net/ljiabin/article/details/40453607
33. Search in Rotated Sorted Array
标签:alt tar hand dup 看到了 .net turn abi div
原文地址:http://www.cnblogs.com/lxk2010012997/p/6411157.html