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Happy number of leetcode topic analysis

2022-06-23 08:43:00 ruochen

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

  • 12 + 92 = 82
  • 82 + 22 = 68
  • 62 + 82 = 100
  • 12 + 02 + 02 = 1
  1. Use set Calculate the result of each calculation , If it is 1 It is Happy Number; No 1 And in set There has been , Is not returned false; Otherwise, add the result to set.
  2. Utilization property , Special numbers “4” At some point , There is 4 Of Number Definitely not Happy.
    public boolean isHappy(int n) {
        if (n < 1) {
            return false;
        }
        if (n == 1) {
            return true;
        }
        Set<Integer> set = new HashSet<Integer>();
        set.add(n);
        while (true) {
            int s = 0;
            while (n > 0) {
                s += (n % 10) * (n % 10);
                n /= 10;
            }
            System.out.println(s);
            if (s == 1) {
                return true;
            } else if (set.contains(s)) {
                return false;
            }
            set.add(s);
            n = s;
        }
    }
    public boolean isHappy2(int n) {
        if (n < 1) {
            return false;
        }
        if (n == 1) {
            return true;
        } else if (n == 4) {
            return false;
        }
        int s = 0;
        while (n > 0) {
            s += (n % 10) * (n % 10);
            n /= 10;
        }
        return isHappy2(s);
    }
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