LeetCode34. Search for a Range

本文详细解析了LeetCode第34题“查找给定目标值的起始和结束位置”的解决方案。采用二分查找法高效寻找有序整数数组中特定目标值的位置范围,并附带实现代码。

LeetCode34. Search for a Range

题目:

Given an array of integers sorted in ascending order, find the starting and ending position of a given target value.

Your algorithm's runtime complexity must be in the order of O(log n).

If the target is not found in the array, return [-1, -1].

For example,
Given [5, 7, 7, 8, 8, 10] and target value 8,
return [3, 4].


题目分析:
用二分查找法,用一个little和high记录查询。

代码:
class Solution {
public:
	vector<int> searchRange(vector<int>& nums, int target) {
        if (nums.size()==0) return {-1,-1};
		int mid = nums.size() / 2, high = nums.size() -1, little = 0;
		vector<int> result = { -1,-1 };
		while (little < high) {
			mid = (high + little) / 2;
			if (nums[mid] < target) little = mid + 1;
			else high = mid;
		}
		if (nums[little] != target) return result;
		else result[0] = little;
		high = nums.size() - 1;
		while (little < high) {
			mid = (high + little) / 2 + 1;
			if (nums[mid] > target) high = mid - 1;
			else little = mid;
		}
		result[1] = high;
		return result;
	}
};

### 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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