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202. Happy Number
Description
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
Solutions
-
class Solution { public boolean isHappy(int n) { int slow = n, fast = next(n); while (slow != fast) { slow = next(slow); fast = next(next(fast)); } return slow == 1; } private int next(int x) { int y = 0; for (; x > 0; x /= 10) { y += (x % 10) * (x % 10); } return y; } }
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class Solution { public: bool isHappy(int n) { auto next = [](int x) { int y = 0; for (; x; x /= 10) { y += pow(x % 10, 2); } return y; }; int slow = n, fast = next(n); while (slow != fast) { slow = next(slow); fast = next(next(fast)); } return slow == 1; } };
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class Solution: def isHappy(self, n: int) -> bool: def next(x): y = 0 while x: x, v = divmod(x, 10) y += v * v return y slow, fast = n, next(n) while slow != fast: slow, fast = next(slow), next(next(fast)) return slow == 1
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func isHappy(n int) bool { next := func(x int) (y int) { for ; x > 0; x /= 10 { y += (x % 10) * (x % 10) } return } slow, fast := n, next(n) for slow != fast { slow = next(slow) fast = next(next(fast)) } return slow == 1 }
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function isHappy(n: number): boolean { const getNext = (n: number) => { let res = 0; while (n !== 0) { res += (n % 10) ** 2; n = Math.floor(n / 10); } return res; }; let slow = n; let fast = getNext(n); while (slow !== fast) { slow = getNext(slow); fast = getNext(getNext(fast)); } return fast === 1; }
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impl Solution { pub fn is_happy(n: i32) -> bool { let get_next = |mut n: i32| { let mut res = 0; while n != 0 { res += (n % 10).pow(2); n /= 10; } res }; let mut slow = n; let mut fast = get_next(n); while slow != fast { slow = get_next(slow); fast = get_next(get_next(fast)); } slow == 1 } }