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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。
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一刷
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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];
}