hdoj 1197 Specialized Four-Digit Numbers(短除进制转换)

Specialized Four-Digit Numbers

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5527    Accepted Submission(s): 3997

Problem Description

Find and list all four-digit numbers in decimal notation that have the property that the sum of its four digits equals the sum of its digits when represented in hexadecimal (base 16) notation and also equals the sum of its digits when represented in duodecimal (base 12) notation.

For example, the number 2991 has the sum of (decimal) digits 2+9+9+1 = 21. Since 2991 = 1*1728 + 8*144 + 9*12 + 3, its duodecimal representation is 1893(12), and these digits also sum up to 21. But in hexadecimal 2991 is BAF16, and 11+10+15 = 36, so 2991 should be rejected by your program.

The next number (2992), however, has digits that sum to 22 in all three representations (including BB016), so 2992 should be on the listed output. (We don't want decimal numbers with fewer than four digits - excluding leading zeroes - so that 2992 is the first correct answer.)

 

Input

There is no input for this problem.

 

Output

Your output is to be 2992 and all larger four-digit numbers that satisfy the requirements (in strictly increasing order), each on a separate line with no leading or trailing blanks, ending with a new-line character. There are to be no blank lines in the output. The first few lines of the output are shown below.

 

Sample Input

   
   
   
   

    
    
    
    There is no input for this problem.
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    2992
2993
2994
2995
2996
2997
2998
2999
   
   
   
   
   
   
   
   


   
   
   
   
   
   
   
   

    
    
    
    代码：
   
   
   
   
   
   
   
   


   
   
   
   
   
   
   
   

    
    
    
    
#include<stdio.h>
int f1(int x)
{
	int k1=0,m1=x;
	while(m1>0)
	{		
		k1+=m1%12;
		m1=m1/12;
	}
	return k1;
}
int f2(int x)
{
	int k2=0,m2=x;
	while(m2>0)
	{
		k2+=m2%16;
		m2=m2/16;
	}
	return k2;
}
int main()
{
	int i,a,b,c,d,s,s1,s2;
//	char str[50];
//	gets(str);//没有输入<img alt="敲打" src="http://static.blog.csdn.net/xheditor/xheditor_emot/default/knock.gif" />
	for(i=2992;i<10000;i++)//<span style="font-family: 'Times New Roman'; font-size: 14px;"> all larger four-digit numbers</span>
	{
		a=i%10;
		b=i%100/10;
		c=i%1000/100;
		d=i/1000;
		s=a+b+c+d;
		s1=f1(i);
		s2=f2(i);
		if(s==s1&&s==s2)
		{
			printf("%d\n",i);
		}
		else
			continue;
	} 
	return 0;
 }