202. Happy 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:

Input: 19 Output: true Explanation: 1^2 + 9^2 = 82 8^2 + 2^2 = 68 6^2 + 8^2 = 100 1^2 + 0^2 + 0^2 = 1

思路: 采用递归思想 需要找出数字中的每一位

出现问题:

class Solution(object):
    def isHappy(self, n):
        """
        :type n: int
        :rtype: bool
        """
        s = 0
        for c in str(n):
            s += int(c)**2
        print(s)
        if s == 1:
            return True
        else:
            self.isHappy(s)


if __name__ == "__main__":
    n = Solution().isHappy(19)
    print(n)

网上思路: https://blog.csdn.net/coder_orz/article/details/51315486

class Solution(object):
    def isHappy(self, n):
        """
        :type n: int
        :rtype: bool
        """
        num__dict = {}
        while True:
            num__dict[n] = True
            sum = 0
            while n>0:
                sum += (n%10) ** 2
                n = n // 10
            if sum == 1:
                return True
            elif sum in num__dict:
                return False
            else:
                n = sum

if __name__ == "__main__":
    n = Solution().isHappy(19)
    print(n)

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