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
這題的想法如下
- 按著題目的要求去計算,如果 n = 1 了,就結束迴圈,回傳答案
- 用一個 set 來記錄出現過的數字,如果又出現一樣的數字,代表無法結束,跳出迴圈
c++
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class Solution { | |
public: | |
bool isHappy(int n) { | |
unordered_set<int> numSet; | |
while(n != 1) { | |
int sum = 0; | |
while(n) { | |
int digit = n % 10; | |
sum += digit * digit; | |
n /= 10; | |
} | |
n = sum; | |
if(numSet.count(n)) { | |
break; | |
} | |
else { | |
numSet.insert(n); | |
} | |
} | |
return n == 1; | |
} | |
}; |
kotlin
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class Solution { | |
fun isHappy(n: Int): Boolean { | |
val set = mutableSetOf<Int>() | |
var number = n | |
var sum = 0 | |
var digit = 0 | |
while(number != 1) { | |
sum = 0 | |
while(number > 0) { | |
digit = number % 10 | |
sum += digit * digit | |
number /= 10 | |
} | |
number = sum | |
if(set.contains(number)) { | |
return false | |
} | |
set.add(number) | |
} | |
return true | |
} | |
} |
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