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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;
        }
    }
    
  • 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;
        }
    };
    
  • 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
    
    
  • 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
    }
    
  • 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;
    }
    
    
  • 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
        }
    }
    
    

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