C++實現LeetCode(81.在旋轉有序數組中搜索之二)

[LeetCode] 81. Search in Rotated Sorted Array II 在旋轉有序數組中搜索之二

Suppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand.

(i.e., [0,0,1,2,2,5,6] might become [2,5,6,0,0,1,2]).

You are given a target value to search. If found in the array return true, otherwise return false.

Example 1:

Input: nums = [2,5,6,0,0,1,2], target = 0
Output: true

Example 2:

Input: nums = [2,5,6,0,0,1,2], target = 3
Output: false

Follow up:

  • This is a follow up problem to Search in Rotated Sorted Array, where nums may contain duplicates.
  • Would this affect the run-time complexity? How and why?

這道是之前那道 Search in Rotated Sorted Array 的延伸,現在數組中允許出現重復數字,這個也會影響我們選擇哪半邊繼續搜索,由於之前那道題不存在相同值,我們在比較中間值和最右值時就完全符合之前所說的規律:如果中間的數小於最右邊的數,則右半段是有序的,若中間數大於最右邊數,則左半段是有序的。而如果可以有重復值,就會出現來面兩種情況,[3 1 1] 和 [1 1 3 1],對於這兩種情況中間值等於最右值時,目標值3既可以在左邊又可以在右邊,那怎麼辦麼,對於這種情況其實處理非常簡單,隻要把最右值向左一位即可繼續循環,如果還相同則繼續移,直到移到不同值為止,然後其他部分還采用 Search in Rotated Sorted Array 中的方法,可以得到代碼如下:

class Solution {
public:
    bool search(vector<int>& nums, int target) {
        int n = nums.size(), left = 0, right = n - 1;
        while (left <= right) {
            int mid = (left + right) / 2;
            if (nums[mid] == target) return true;
            if (nums[mid] < nums[right]) {
                if (nums[mid] < target && nums[right] >= target) left = mid + 1;
                else right = mid - 1;
            } else if (nums[mid] > nums[right]){
                if (nums[left] <= target && nums[mid] > target) right = mid - 1;
                else left = mid + 1;
            } else --right;
        }
        return false;
    }
};

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