Question

1 Riddler (10pts)

The agent #7 “J. B.” of the international spy agency “All Ears, all Eyes” needs to transmit a secret 5 digit code back to her headquarters. She transmits the following 8 indications:

• The sum of the 5 digits is 27.

• The code is an even number.

• The sum of the first and the last digit is equal to the digit in the middle.

• The difference of the second digit and the fourth digit is one; the second digit is greater than the fourth digit.

• The sum of the second digit and the fourth digit is equal to the third digit.

• No digit repeats in the code.

• None of the digits is zero.

• The code is the smallest 5 digit number satisfying the 7 other conditions.

  Write a Java program Riddler.java that helps the decoding master “Q” at “All Ears, all Eyes” head- quarters to decypher the code.

Answer 1

Coding

class Riddler{
public static void main(String args[]){
int secretCode,sumof_digit=0,Reminder,temp,f_digit=0,s_digit=0,t_digit=0,four_digit=0,fifth_digit=0;//initilize use full variable
   for(int i=10000;i<=99999;i++)
   {
   sumof_digit=0;
   temp=i;
   int j=0;
   while(temp > 0) {
           Reminder = temp % 10;
           sumof_digit = sumof_digit+ Reminder;//calculate sum of digit
           temp = temp / 10;
           j++;
           if(j==1)
           fifth_digit=Reminder;//initilize digit number
           else if(j==2)
           four_digit=Reminder;//initilize digit number
           else if(j==3)
           t_digit=Reminder;//initilize digit number
           else if(j==4)
           s_digit=Reminder;//initilize digit number
           else if(j==5)
           f_digit=Reminder;//initilize digit number
          
       }
      
       if(sumof_digit==27 && i%2==0 && f_digit+fifth_digit==t_digit && s_digit>four_digit && s_digit-four_digit==1 && s_digit+four_digit==t_digit)//here is the all condition that must be satisfiying if we want to find secret number
       {
               if(f_digit!=s_digit || f_digit!=s_digit || f_digit!=t_digit || f_digit!=four_digit || f_digit!=fifth_digit || s_digit!=t_digit || s_digit!=four_digit || s_digit!=fifth_digit || t_digit!=four_digit || four_digit!=fifth_digit ||f_digit!=0||s_digit!=0|| t_digit!=0||four_digit!=0|| fifth_digit!=0) //number should not be same repeat and not is 0
               {
                   System.out.println("Secret Number is "+i);
           break;
               }
       }
   }     
}
}

output:

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