diff --git a/Algorithms/0033. Search in Rotated Sorted Array/33. Search in Rotated Sorted Array.go b/Algorithms/0033. Search in Rotated Sorted Array/33. Search in Rotated Sorted Array.go new file mode 100644 index 00000000..9ce3fee4 --- /dev/null +++ b/Algorithms/0033. Search in Rotated Sorted Array/33. Search in Rotated Sorted Array.go @@ -0,0 +1,34 @@ +package leetcode + +func search33(nums []int, target int) int { + if len(nums) == 0 { + return -1 + } + low, high := 0, len(nums)-1 + for low <= high { + mid := low + (high-low)>>1 + if nums[mid] == target { + return mid + } else if nums[mid] > nums[low] { // 在数值大的一部分区间里 + if nums[low] <= target && target < nums[mid] { + high = mid - 1 + } else { + low = mid + 1 + } + } else if nums[mid] < nums[high] { // 在数值小的一部分区间里 + if nums[mid] < target && target <= nums[high] { + low = mid + 1 + } else { + high = mid - 1 + } + } else { + if nums[low] == nums[mid] { + low++ + } + if nums[high] == nums[mid] { + high-- + } + } + } + return -1 +} diff --git a/Algorithms/0033. Search in Rotated Sorted Array/33. Search in Rotated Sorted Array_test.go b/Algorithms/0033. Search in Rotated Sorted Array/33. Search in Rotated Sorted Array_test.go new file mode 100644 index 00000000..3fcfbb5a --- /dev/null +++ b/Algorithms/0033. Search in Rotated Sorted Array/33. Search in Rotated Sorted Array_test.go @@ -0,0 +1,53 @@ +package leetcode + +import ( + "fmt" + "testing" +) + +type question33 struct { + para33 + ans33 +} + +// para 是参数 +// one 代表第一个参数 +type para33 struct { + nums []int + target int +} + +// ans 是答案 +// one 代表第一个答案 +type ans33 struct { + one int +} + +func Test_Problem33(t *testing.T) { + + qs := []question33{ + + question33{ + para33{[]int{3, 1}, 1}, + ans33{1}, + }, + + question33{ + para33{[]int{4, 5, 6, 7, 0, 1, 2}, 0}, + ans33{4}, + }, + + question33{ + para33{[]int{4, 5, 6, 7, 0, 1, 2}, 3}, + ans33{-1}, + }, + } + + fmt.Printf("------------------------Leetcode Problem 33------------------------\n") + + for _, q := range qs { + _, p := q.ans33, q.para33 + fmt.Printf("【input】:%v 【output】:%v\n", p, search33(p.nums, p.target)) + } + fmt.Printf("\n\n\n") +} diff --git a/Algorithms/0033. Search in Rotated Sorted Array/README.md b/Algorithms/0033. Search in Rotated Sorted Array/README.md new file mode 100755 index 00000000..6f69b743 --- /dev/null +++ b/Algorithms/0033. Search in Rotated Sorted Array/README.md @@ -0,0 +1,36 @@ +# [33. Search in Rotated Sorted Array](https://leetcode.com/problems/search-in-rotated-sorted-array/) + +## 题目: + +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 + + +## 题目大意 + +假设按照升序排序的数组在预先未知的某个点上进行了旋转。( 例如,数组 [0,1,2,4,5,6,7] 可能变为 [4,5,6,7,0,1,2] )。搜索一个给定的目标值,如果数组中存在这个目标值,则返回它的索引,否则返回 -1 。你可以假设数组中不存在重复的元素。 + +你的算法时间复杂度必须是 O(log n) 级别。 + + +## 解题思路 + +- 给出一个数组,数组中本来是从小到大排列的,并且数组中没有重复数字。但是现在把后面随机一段有序的放到数组前面,这样形成了前后两端有序的子序列。在这样的一个数组里面查找一个数,设计一个 O(log n) 的算法。如果找到就输出数组的小标,如果没有找到,就输出 -1 。 +- 由于数组基本有序,虽然中间有一个“断开点”,还是可以使用二分搜索的算法来实现。现在数组前面一段是数值比较大的数,后面一段是数值偏小的数。如果 mid 落在了前一段数值比较大的区间内了,那么一定有 `nums[mid] > nums[low]`,如果是落在后面一段数值比较小的区间内,`nums[mid] ≤ nums[low]` 。如果 mid 落在了后一段数值比较小的区间内了,那么一定有 `nums[mid] < nums[high]`,如果是落在前面一段数值比较大的区间内,`nums[mid] ≤ nums[high]` 。还有 `nums[low] == nums[mid]` 和 `nums[high] == nums[mid]` 的情况,单独处理即可。最后找到则输出 mid,没有找到则输出 -1 。