leetcode34--- Search for a Range
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问题描述:
Given a sorted array of integers, 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].
在排序数组中搜索一个值有多少个,并返回其两边下标,没有找到就返回[-1,-1]。注意时间效率是O(longN)。
问题求解:
采用二分法,分别搜索左边界和右边界。
class Solution {public: vector<int> searchRange(vector<int>& nums, int target) { int n=nums.size(); int start = Leftbound(nums, n, target); int end = Rightbound(nums, n, target); vector<int> res(2); res[0] = start; res[1] = end; return res; } int Leftbound(vector<int>& nums, int n, int target) {//寻找左边界 if(n == 0) return -1; int left = 0; int right = n-1; while(left < right)//!!! { int mid = left+(right-left)/2; if(nums[mid] >= target) right = mid; else left = mid+1; } if(nums[left] == target) return left; else return -1; } int Rightbound(vector<int>& nums, int n, int target) {//寻右边界 if(n == 0) return -1; int left = 0; int right = n-1; while(left <= right)//!!! { int mid = left+(right-left)/2; if(nums[mid] > target) right = mid-1; //!!! else left = mid+1; } if(nums[right] == target) return right; else return -1; } };
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