English
202. Happy Number
Problem Statement
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
Solution:
rs
impl Solution {
pub fn is_happy(n: i32) -> bool {
let (mut slow, mut fast) = (n, n);
loop {
slow = Self::sum_of_squares(slow);
fast = Self::sum_of_squares(Self::sum_of_squares(fast));
if slow == 1 || fast == 1 {
return true;
}
// Floyd's cycle detection
if slow == fast {
return false;
}
}
}
pub fn sum_of_squares(mut num: i32) -> i32 {
let mut sum = 0;
while num > 0 {
let digit = num % 10;
sum += digit * digit;
num /= 10;
}
sum
}
}
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