Tags: "leetcode", "math", access_time 1-min read

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Happy Number

Created: April 2, 2002 by [lek-tin]

Last updated: April 2, 2002

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

Input: 19
Output: true
Explanation: 
12 + 92 = 82
82 + 22 = 68
62 + 82 = 100
12 + 02 + 02 = 1

Solution (int to str)

class Solution:
    def isHappy(self, n):
        """
        :type n: int
        :rtype: bool
        """
        tried = set()
        currentNum = n
        while currentNum not in tried:
            tried.add(currentNum)
            sum = 0
            for num in [int(d) for d in str(currentNum)]:
                sum += num**2
            if sum == 1:
                return True
            currentNum = sum

        return False

Solution (mod operation)

class Solution:
    def isHappy(self, n: int) -> bool:
        tried = set()
        while True:
            newN = 0
            while n:
                temp = n % 10
                n //= 10
                newN += temp * temp
            if newN == 1:
                return True
            if newN in tried:
                return False
            tried.add(newN)
            n = newN