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
class Solution {
public int search(int[] nums, int target) {
if(nums == null || nums.length == 0) return -1;
int start = 0;
int end = nums.length - 1;
while(start + 1 < end) {
int middle = start + (end - start) / 2;
if(target >= nums[0]) {
if(nums[middle] > target) end = middle;
else if(nums[middle] < target) {
if(nums[middle] > nums[0]) start = middle;
else if(nums[middle] < nums[0]) end = middle;
}else if(nums[middle] == target) return middle;
}else if(target < nums[0]) {
if(nums[middle] < target) start = middle;
else if(nums[middle] > target) {
if(nums[middle] > nums[0]) start = middle;
else if(nums[middle] < nums[0]) end = middle;
}else if(nums[middle] == target) return middle;
}
}
if(nums[start] == target) return start;
else if(nums[end] == target) return end;
return -1;
}
}
若数字有重复,那最坏情况是全部1,然后有一个0,target的值为0时,时间复杂度必然是o(n)。就写个普通的for循环好了