leetcode34. Search for a Range

本文详细解析了LeetCode第34题Search for a Range的解决方案,通过递归二分查找的方式找到目标值在有序数组中首次和末次出现的位置。文章提供了完整的C++实现代码,并针对不同输入情况进行了讨论。

leetcode34. Search for a Range

class Solution {
public:
    vector<int> searchRange(vector<int>& nums, int target) {
        vector<int> result = {};
        if(nums.size()<1){
            result.push_back(-1);
            result.push_back(-1);
            return result;
        }        
        if(nums.size()==1){
            if(nums[0] == target){

                result.push_back(0);
                result.push_back(0);
            }else{
                result.push_back(-1);
                result.push_back(-1);
            }
            return result;
        }
        int left = 0;
        int right = nums.size() - 1;
        int medium = left+(right - left) / 2;
        left = searchLeftPos(nums,target,left,medium);
        right = searchRightPos(nums,target,medium+1,right);
        if(left == -1){
            left = searchLeftPos(nums,target,medium+1,right);
        }

        if(right == -1){
            right = searchRightPos(nums,target,left,medium);
        }
        result.push_back(left);
            result.push_back(right);
            return result;
    }
    int searchLeftPos(vector<int>& nums, int target,int left, int right){
        if(right<=left){
            if(target==nums[left]) return left;
            else return -1;
        }
        int medium = left+(right - left) / 2;
        left = searchLeftPos(nums,target,left,medium);

        if(left == -1){
            left = searchLeftPos(nums,target,medium+1,right);
        }
        return left;
    }

    int searchRightPos(vector<int>& nums, int target,int left, int right){
        if(right<=left){
            if(target==nums[left]) return left;
            else return -1;
        }
        int medium = left+(right - left) / 2;

        right = searchRightPos(nums,target,medium+1,right);


        if(right == -1){
            right = searchRightPos(nums,target,left,medium);
        }
        return right;
    }
};
### LeetCode Problem 34: Find First and Last Position of Element in Sorted Array The task involves finding the starting and ending position of a given target value within an array of integers. If the target is not found in the array, [-1, -1] should be returned. For instance, consider an input where `nums` = [5,7,7,8,8,10], and `target` = 8. The expected output would be [3, 4]. Another example could involve `nums` = [5,7,7,8,8,10], but this time with `target` = 6, leading to an output of [-1, -1]. To solve this problem efficiently: A binary search approach can achieve logarithmic complexity by narrowing down potential positions for both the first and last occurrence of the target element[^1]: ```python def searchRange(nums, target): def findLeftIndex(nums, target): left, right = 0, len(nums) - 1 while left <= right: mid = (left + right) // 2 if nums[mid] < target: left = mid + 1 else: right = mid - 1 return left def findRightIndex(nums, target): left, right = 0, len(nums) - 1 while left <= right: mid = (left + right) // 2 if nums[mid] <= target: left = mid + 1 else: right = mid - 1 return right left_index = findLeftIndex(nums, target) right_index = findRightIndex(nums, target) # Check if the target exists in the list. if left_index <= right_index < len(nums) and nums[left_index] == target: return [left_index, right_index] return [-1, -1] ``` This code snippet defines two helper functions that perform modified versions of binary searches—one looking for the start index (`findLeftIndex`) and another for the end index (`findRightIndex`). After determining these indices, it checks whether they are valid before returning them as part of the result.
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