Program to solve the Problem of the Week

for the week of April 9, 2001
by Chip Scheweikarth

/*	Solves the solutions to the
   abcde - fghij = 45678 problem
   where a-j are 10 different
   digits 0-9.
   ** Chip Schweikarth
   ** T.C.Programs ** (c) 2001
   ** April 10, 2001 **/

#include <iostream.h>
#include <conio.h>
#include <stdlib.h>


int main()
{
   long value1,value2,radix = 10;
   int num = 0;
   char chr[6],chr2[6],c1,c2,c3,
        c4,c5,c6,c7,c8,c9,c0;
   for (value1 = 10000; value1 < 100000;
        value1++)
   {
   	for (value2 = 10000; value2 < 100000;
           value2++)
      {

   		if (value2 - value1 == 45678)
   		{
         	itoa(value1,chr,radix);
         	itoa(value2,chr2,radix);
            c1 = chr[0];
            c2 = chr[1];
            c3 = chr[2];
            c4 = chr[3];
            c5 = chr[4];
            c6 = chr2[0];
            c7 = chr2[1];
            c8 = chr2[2];
            c9 = chr2[3];
            c0 = chr2[4];
            if ((c1 == c2) || (c1 == c3)
             || (c1 == c4) || (c1 == c5)
             || (c1 == c6) || (c1 == c7)
             || (c1 == c8) || (c1 == c9)
             || (c1 == c0) || (c2 == c3)
             || (c2 == c4) || (c2 == c5)
             || (c2 == c6) || (c2 == c7)
             || (c2 == c8) || (c2 == c9)
             || (c2 == c0) || (c3 == c4)
             || (c3 == c5) || (c3 == c6)
             || (c3 == c7) || (c3 == c8)
             || (c3 == c9) || (c3 == c0)
             || (c4 == c5) || (c4 == c6)
             || (c4 == c7) || (c4 == c8)
             || (c4 == c9) || (c4 == c0)
             || (c5 == c6) || (c5 == c7)
             || (c5 == c8) || (c5 == c9)
             || (c5 == c0) || (c6 == c7)
             || (c6 == c8) || (c6 == c9)
             || (c6 == c0) || (c7 == c8)
             || (c7 == c9) || (c7 == c0)
             || (c8 == c9) || (c8 == c0)
             || (c9 == c0))
            	break;
            num++;
            cout << value2 << " - "
                 << value1 << " = "
                 << (value2 - value1)
                 << ". " << num
                 << " answers.\n";


         }
      }
   }
    getch();

	return(0);
}