Description

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

Solutions

1. Hash Table

# Time: O(n)
# Space: O(n)
class Solution:
    def isHappy(self, n: int) -> bool:
        visited = set()
        visited.add(n)
        while n != 1:
            strs = str(n)
            ssum = 0
            for num in strs:
                ssum += int(num) ** 2
            if ssum in visited:
                return False
            else:
                visited.add(ssum)
            n = ssum
        return True

# 401/401 cases passed (36 ms)
# Your runtime beats 34.19 % of python3 submissions
# Your memory usage beats 100 % of python3 submissions (12.7 MB)

References

  1. 202. Happy Number