Write an algorithm to determine if a number n
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.
- 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.
Return true
if n
is a happy number, and false
if not.
Example 1:
Input: n = 19 Output: true Explanation: 12 + 92 = 82 82 + 22 = 68 62 + 82 = 100 12 + 02 + 02 = 1
Example 2:
Input: n = 2 Output: false
Constraints:
1 <= n <= 231 - 1
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class Solution { | |
public: | |
int getNext(int x){ | |
int res = 0; | |
while(x > 0){ | |
res += (x % 10) * (x % 10); | |
x /= 10; | |
} | |
return res; | |
} | |
bool isHappy(int n) { | |
int slow = n; | |
int fast = getNext(n); | |
while(fast != 1 and slow != fast){ | |
slow = getNext(slow); | |
fast = getNext(getNext(fast)); | |
} | |
return fast == 1; | |
} | |
}; |
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