Leetcode#202Happy Number

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, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers.

Example: 19 is a happy number

  • 12 + 92 = 82

  • 82 + 22 = 68

  • 62 + 82 = 100

  • 12 + 02 + 02 = 1

问题分析,难点如何识别出计算链条出现loop,此处采用的hash的方法

public class Solution {

    public boolean isHappy(int n) {

        

        Map<Integer,Integer> p=new HashMap<Integer,Integer>();

        

        int m=n;

        int sm=0;

        while(m>1)

        {

            sm=m;

            int x=0;

            while(m>0)

            {

                x=x+(m%10)*(m%10);

                m=m/10;

                

            }

            if(p.get(x)!=null)

                return false;

            else

            {

                p.put(x,1);

                m=x;

            }

        }

        return true;        

        

    }

}


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