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
![](http://www.forkosh.com/mathtex.cgi? \left 1^2 + 9^2 = 82)
![](http://www.forkosh.com/mathtex.cgi? \Small 8^2 + 2^2 = 68)
![](http://www.forkosh.com/mathtex.cgi? \Small 6^2 + 8^2 = 100)
![](http://www.forkosh.com/mathtex.cgi? \Small 1^2 + 0^2 + 0^2 = 1)
class Solution(object):
def isHappy(self, n):
"""
:type n: int
:rtype: bool
"""
def fun(num):
s = str(num)
v = 0
for x in s:
v += (int(x) - int('0')) * (int(x) - int('0'))
return v
if n <= 0:
return False;
d = {};
while(True):
if n == 1:
return True
if n in d.keys():
return False
else:
d[n] = 1
n = fun(n)