2016年2月11日 星期四

LEET code --Happy Number

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

笨方法  把算好的記錄下來 每次去記  但是這樣浪費時間

事實上  會循環的數字是固定得
https://leetcode.com/discuss/79442/hashset-time-check-whether-the-loop-with-mathematical-proof



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bool isHappy(int n) {
    int *done=malloc(sizeof(int)*128);
    int size=0,happy=n;
    
    while(happy!=1){
        done[size++]=happy;
        for(int i=0;i<size-1;i++)if(done[i]==happy)return false;
        int temp=0;
        while(happy/10){
            temp+= pow(happy%10,2);
            happy/=10;
        }
        temp+=pow(happy%10,2);
        happy=temp;
        
    }
    return true;
}

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