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153. Find Minimum in Rotated Sorted Array

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]).

Find the minimum element.

You may assume no duplicate exists in the array.

Example 1:

Input: [3,4,5,1,2]
Output: 1

Example 2:

Input: [4,5,6,7,0,1,2]
Output: 0

思路分析

最省事的方式当然是遍历,但是,中等难度的题目不可能一个遍历就解决了。

针对有序数组,首先想到的就是二分查找。但是,这里的二分查找有需要做些特别处理:要判断最低点在哪个区间。

0153 01
0153 02
  • 一刷

  • 二刷

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/**
 * Runtime: 0 ms, faster than 100.00% of Java online submissions for Find Minimum in Rotated Sorted Array.
 * Memory Usage: 39.8 MB, less than 12.50% of Java online submissions for Find Minimum in Rotated Sorted Array.
 *
 * @author D瓜哥 · https://www.diguage.com
 * @since 2020-04-25 22:37
 */
public int findMin(int[] nums) {
    if (nums.length == 1) {
        return nums[0];
    }
    int left = 0;
    int right = nums.length - 1;

    if (nums[left] < nums[right]) {
        return nums[left];
    }

    int mid = 0;
    while (left <= right) {
        mid = left + (right - left) / 2;

        if (mid + 1 < nums.length && nums[mid] > nums[mid + 1]) {
            return nums[mid + 1];
        }

        if (mid - 1 >= 0 && nums[mid - 1] > nums[mid]) {
            return nums[mid];
        }

        if (nums[left] < nums[mid]) {
            left = mid + 1;
        } else {
            right = mid - 1;
        }
    }
    return -1;
}
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/**
 * @author D瓜哥 · https://www.diguage.com
 * @since 2024-09-19 20:51:15
 */
public int findMin(int[] nums) {
  int left = 0, right = nums.length - 1;
  while (left < right) {
    int mid = left + (right - left) / 2;
    if (nums[mid]< nums[right]) {
      right = mid;
    } else {
      left = mid +1;
    }
  }
  return nums[left];
}