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在一个经过旋转后的有序数组中查找一个目标元素。
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
).
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.
本质上还是通过二分查找来实现的,只是在使用二分查找之前要先找到旋转的节点,在以节点为端点的子段中再次使用二分查找,其中,在寻找旋转点的时候已经使用了二分查找的思想。集体实现可以在代码中窥见。<span style="font-size:18px;">class Solution { public: int findPivot(int A[],int start,int end)//寻找旋转的点,主要还是对端节点的处理上 { if(start == end) return start; if(A[end]>A[start]) return end; if(A[start]>A[start+1]) return start; int mid = (start+end)/2;//类似二分查找哈 if(A[mid]>A[start]) return findPivot(A,mid,end); if(A[mid]<A[end]) return findPivot(A,start,mid-1);//还是递归实现的 } int binarySearch(int A[],int start,int end,int target)//正宗的二分查找 { while(start<=end) { int mid = (start+end)/2; if(A[mid] == target) return mid; if(A[mid]<target) start = mid+1; if(A[mid]>target) end = mid -1; } return -1; } int search(int A[], int n, int target) { int pivot = findPivot(A,0,n-1);//先找到旋转点,再在子段上二分查找 return target>=A[0]?binarySearch(A,0,pivot,target):binarySearch(A,pivot+1,n-1,target); //只在一个子段上查找 } };</span>
每日算法之二十九:Search in Rotated Sorted Array,布布扣,bubuko.com
每日算法之二十九:Search in Rotated Sorted Array
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原文地址:http://blog.csdn.net/yapian8/article/details/28467437