202. Happy Number 平方循环数

[抄题]:

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

 [暴力解法]:

时间分析:

空间分析:

 [优化后]:

时间分析:

空间分析:

[奇葩输出条件]:

[奇葩corner case]:

[思维问题]:

[一句话思路]:

n进行 / 10等处理操作,循环条件是 n > 0

[输入量]:空: 正常情况:特大:特小:程序里处理到的特殊情况:异常情况(不合法不合理的输入):

[画图]:

[一刷]:

[二刷]:

[三刷]:

[四刷]:

[五刷]:

  [五分钟肉眼debug的结果]:

[总结]:

while (n > 0)的条件下,需要反复操作

[复杂度]:Time complexity: O(n) Space complexity: O(n)

[英文数据结构或算法,为什么不用别的数据结构或算法]:

hashset重复性:加不进

[关键模板化代码]:

while (n > 0) {
                remain = n % 10;
                squareSum += remain * remain;
                n = n / 10;
            }

[其他解法]:

[Follow Up]:

[LC给出的题目变变变]:

 [代码风格] :

class Solution {
    public boolean isHappy(int n) {
        //cc
        if (n == 0) {
            return false;
        }
        
        //ini
        int squareSum, remain;
        Set set = new HashSet();
        
        //while loop, contains
        while (set.add(n)) {
            squareSum = 0;
            
            while (n > 0) {
                remain = n % 10;
                squareSum += remain * remain;
                n = n / 10;
            }
            
            if (squareSum == 1) return true;
            n = squareSum;
        }
        
        return false;
    }
}
View Code
原文地址:https://www.cnblogs.com/immiao0319/p/8916396.html