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.
Your algorithm’s runtime complexity must be in the order of O(log n).
Example 1:
Input: nums = [4,5,6,7,0,1,2]
, target = 0
Output: 4
Example 2:
Input: nums = [4,5,6,7,0,1,2]
, target = 3
Output: -1
Solution 1:
public class Solution {
public int search(int[] nums, int target) {
return binarySearch(nums,target,0,nums.length-1);
}
public int binarySearch(int[] nums, int target, int start, int end){
if(start>end)return -1;
int mid = start+(end-start)/2;
if(nums[mid] == target) return mid;
if(nums[start]<=nums[mid]){
if(nums[start]<=target && target<nums[mid]){
return binarySearch(nums,target,start,mid-1);
}else{
return binarySearch(nums,target,mid+1,end);
}
}else{
if(nums[mid]<target && target<=nums[end]){
return binarySearch(nums,target,mid+1,end);
}else{
return binarySearch(nums,target,start,mid-1);
}
}
}
}