Question

• Write a C function named  f such that …
  • the prototype of function  f is …

    •   unsigned long int f ( unsigned long int X, unsigned long int Y ) 

  • function  f returns …
    • the nonnegative integer  Z  such that   X ²  +   Y ²  =   Z ²  if such a nonnegative integer  Z  exists
    • zero if there is no nonnegative integer  Z  such that   X ²  +   Y ²  =   Z ² 
• Example 1
  • If   X = 3  and   Y = 4 , then function  f returns   5    because   5  is the nonnegative integer such that   3² + 4²  = 5²  .
• Example 2
  • If   X = 2  and   Y = 5 , then function  f returns   0    because there is no nonnegative integer  Z  such that   2² + 5²  = Z²  .

Answer 1

unsigned long int f ( unsigned long int X, unsigned long int Y ){
   unsigned long int result = X*X + Y*Y;
   unsigned long int Z = 0;
   while(result > (Z*Z)){
       Z = Z + 1;
   }
   if(result == (Z*Z)){
      return Z;
   }
   else{
      return 0;
   }
}