Skip to content

Latest commit

 

History

History
107 lines (83 loc) · 2.46 KB

20220519.md

File metadata and controls

107 lines (83 loc) · 2.46 KB

Algorithm

33. Search in Rotated Sorted Array

Description

There is an integer array nums sorted in ascending order (with distinct values).

Prior to being passed to your function, nums is possibly rotated at an unknown pivot index k (1 <= k < nums.length) such that the resulting array is [nums[k], nums[k+1], ..., nums[n-1], nums[0], nums[1], ..., nums[k-1]] (0-indexed). For example, [0,1,2,4,5,6,7] might be rotated at pivot index 3 and become [4,5,6,7,0,1,2].

Given the array nums after the possible rotation and an integer target, return the index of target if it is in nums, or -1 if it is not in nums.

You must write an algorithm with O(log n) runtime complexity.

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

Example 3:

Input: nums = [1], target = 0
Output: -1

Constraints:

  • 1 <= nums.length <= 5000
  • -104 <= nums[i] <= 104
  • All values of nums are unique.
  • nums is an ascending array that is possibly rotated.
  • -104 <= target <= 104

Solution

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

Discuss

旋转数组中的最小值

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

Review

Tip

Share