Copier Reduction pku 2707

Copier Reduction
Time Limit:1000MS  Memory Limit:65536K
Total Submit:2599 Accepted:1316

Description
What do you do if you need to copy a 560x400mm image onto a standard sheet of US letter-size paper (which is about 216x280mm), while keeping the image as large as possible? You can rotate the image 90 degrees (so that it is in "landscape" mode), then reduce it to 50% of its original size so that it is 200x280mm. Then it will fit on the paper without overlapping any edges. Your job is to solve this problem in general.

Input
The input consists of one or more test cases, each of which is a single line containing four positive integers A, B, C, and D, separated by a space, representing an AxBmm image and a CxDmm piece of paper. All inputs will be less than one thousand. Following the test cases is a line containing four zeros that signals the end of the input.

Output
For each test case, if the image fits on the sheet of paper without changing its size (but rotating it if necessary), then the output is 100%. If the image must be reduced in order to fit, the output is the largest integer percentage of its original size that will fit (rotating it if necessary). Output the percentage exactly as shown in the examples below. You can assume that no image will need to be reduced to less than 1% of its original size, so the answer will always be an integer percentage between 1% and 100%, inclusive.

Sample Input

 

Sample Output

 

Source
Mid-Central USA 2005

 

 

50%
100%
12%
66%
1%
100%
1%

 

560 400 218 280
10 25 88 10
8 13 5 1
9 13 10 6
199 333 40 2
75 90 218 280
999 99 1 10
0 0 0 0

  
  
  
  

   
   
   
   
 
     
    #include  
    < 
    iostream 
    > 
    
 
    using 
      
    namespace 
     std;
 
    int 
     a,b,c,d;
 
    void 
     easy_sort( 
    int 
      
    & 
    m, 
    int 
      
    & 
    n)
 
    ... 
    {
    int tmp;
    if(m>n)
    ...{
        tmp=m;
        m=n;
        n=tmp;
    }
} 
    
 
    int 
     main()
 
    ... 
    {
    while(1)
    ...{
      cin>>a>>b>>c>>d;
      if(!a&&!b&&!c&&!d) break;
      easy_sort(a,b);
      easy_sort(c,d);
      double x,y;
      x=(double)c/a;
      y=(double)d/b;
      if(x>y) x=y;
      x*=100;
      if(x>100)x=100;
      cout<<(int)x<<"%"<<endl;      
    }   
    return 0;
}