"Leetcode" "find Element" find first and last Position of element in Sorted Array

Source: Internet
Author: User


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

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

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

Example 1:

Input:nums = [ 5,7,7,8,8,10] , target = 8Output: [3,4]

Example 2:

Input:nums = [ 5,7,7,8,8,10] , target = 6Output: [ -1,-1]

Idea one: a binary Search

The first two points are used to find and taget the elements that are equal to the starting position, and then spread to both sides to find the same range of values.

classSolution { Public: Vector<int> Searchrange (vector<int>& Nums,inttarget) {Vector<int> Res (2,-1); if(nums.size () = =0)returnRes; intCau =dichotomy (nums,target); if(Cau = =-1)returnRes; Else{            inti = Cau,j =Cau; cout<<cau<<Endl;  while((i>=0&& Nums[i] = = target) | | (J<=nums.size ()-1&& Nums[j] = =target)) {                if(i>=0&& Nums[i] = =target) {res[0] =i; cout<<i<<Endl; I--; }                if(J<=nums.size ()-1&& Nums[j] = =target) {res[1] =J; cout<<j<<Endl; J++; }            }        }        returnRes; }        intDichotomy (vector<int>& Nums,inttarget) {        intLow =0,intHigh = Nums.size ()-1;  while(Low <High ) {            intMid = (Low + high +1) /2; if(Nums[mid] = = target)returnmid; if(Nums[mid] < target) Low = mid +1; ElseHigh = mid-1; }        return-1; }};

Idea two: 23 times binary Search

First, based on the above two-point lookup, find the starting position of the element, and then start from low to continue using a binary search to find the location of the target+1, and then return to this position it-1, so as to find the start and end of the range.

classSolution { Public: Vector<int> Searchrange (vector<int>& Nums,inttarget) {Vector<int> Res (2,-1); if(nums.size () = =0)returnRes; intLow = dichotomy (Nums,target,0);//find the starting elementcout<<low<<Endl; if(Low = = Nums.size () | | nums[low]! = target)//may appear at the end of the array or target is larger than the element at low, low=nums.size            returnRes; Else{res[0] =Low ; res[1] = dichotomy (nums,target+1, low)-1;//Find the end element        }        returnRes; }        intDichotomy (vector<int>& Nums,intTargetintLow ) {        intHigh = Nums.size ();//Core         while(Low <High ) {            intMid = (low + high)/2; if(Nums[mid] < target) Low = mid +1; ElseHigh =mid; }        returnLow ; }};

"Leetcode" "find Element" find first and last Position of element in Sorted Array

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.