HDOJ 1406 完数(打表，附讨论区出现的史上最牛逼打表，0ms)



完数

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 22197    Accepted Submission(s): 8115

Problem Description

完数的定义：如果一个大于1的正整数的所有因子之和等于它的本身，则称这个数是完数，比如6，28都是完数：6=1+2+3；28=1+2+4+7+14。

本题的任务是判断两个正整数之间完数的个数。

 

Input

输入数据包含多行，第一行是一个正整数n，表示测试实例的个数，然后就是n个测试实例，每个实例占一行，由两个正整数num1和num2组成,(1<num1,num2<10000) 。

 

Output

对于每组测试数据，请输出num1和num2之间（包括num1和num2）存在的完数个数。

 

Sample Input

   
   
   
   

    
    
    
    2 2 5 5 7
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    0 1
   
   
   
   

 

题目水爆，打表水过，注意n，m的大小就行了，杭电就是这么坑。

代码如下：

#include<cstdio>
#include<cstring>
int a[10010];
int main()
{
	int n,m,t,i,sum,j;
	memset(a,0,sizeof(a));
	for(i=2;i<10002;i++)
	{
		sum=1;
		a[i]=a[i-1];
		for(j=2;j<=(i/2);j++)
		{
			if(i%j==0)
			  sum=sum+j;
		}
		if(sum==i)
		  a[i]++;
	}
	scanf("%d",&t);
	while(t--)
	{
		scanf("%d%d",&n,&m);
		if(n>m)
		  printf("%d\n",a[n]-a[m-1]);
		else
		  printf("%d\n",a[m]-a[n-1]);
	}
	return 0;
}

等等还没结束，爱逛讨论区，发现10000之内的完数就4个{6,28，496，8128}，

于是讨论区沾出了下面神级代码：

史上最牛逼打表：

#include <iostream>
#include <stdio.h>

using namespace std;

int main()
{
    int 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0,0,0,0,0,0};
    int cyc;
    cin>>cyc;
    while(cyc--)
    {
        int left,right;
        cin>>left>>right;
        if(left>right)
        {
            swap(left,right);
        }
        int res=0;
        for(int i=left;i<=right;i++)
        {
            res+=result[i]==1?1:0;
        }
        cout<<res<<endl;
    }
    return 0;
}