Leetcode[202]-happy number

Source: Internet
Author: User

Write an algorithm to determine if a number is "happy".

A happy number is a number defined by the following process:starting with any positive integer and replace the number by the Sum of the squares of its digits, and repeat the process until the number equals 1 (where it would stay), or it loops Endl essly in a cycle which does not include 1. Those numbers for which this process ends in 1 is happy numbers.

Example:19 is a happy number

1 2 + 9 2 = the
8 2 + 2 2 = the
6 2 + 8 2 = -
1 2 + 0 2 + 0 2 =1

Credits:
Special thanks to @mithmatt and @ts for adding the problem and creating all test cases.

Analysis : The topic is about any positive integer, the sum of the squares of the number on each digit, if the final convergence is 1, then the number is happy numbers, or the program may start from a number of cycles into the loop.

Here we use a hash table to store the numbers that have already occurred, and return False if they occur the next time.

classSolution { Public:BOOLIshappy (intN) {if(n==1)return true; map<int,int>Nums while(n>0){intNumber =0; while(n) {Number + = (n%Ten) * (n%Ten); N/=Ten; }if(Number = =1)return true;Else if(Nums.find (number)!=nums.end ())return false;            n = number; Nums[n] =1; }    }};

In addition, there is a simple algorithm:

class Solution {public:    bool isHappy(int n) {        while(n>6){              intnext0;              while(n){                next+=(n%10)*(n%10);                 n/=10;            }              next;          }          return n==1;      }};

Leetcode[202]-happy number

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.