Hello I am studying recursion and having trouble reading the following code below
public class MysteryClass {
/**
* Mystery method that performs a function recursively.
*
* @param x an integer > 0
* @param y an integer > 0 and < x
* prints result
*/
public static void mysteryMethod(int x, int y) {
if (x == 0) {
return;
} else {
mysteryMethod(x / y, y);
System.out.print(x % y);
}
}
public static void main(String[] args) {
mysteryMethod(13,2);
}
}
I had two possible solutions(and realized both are wrong)
Solution 1
- x = 13, y = 2, print(13 % 2) which is 1
- x = 6 , y = 2, print( 6 % 2) which is 0
- x = 3 , y = 2, print( 3 % 2) which is 1
- x = 1 , y = 2, print( 1 % 2) which is 1
- x = 0 , y = 2, since x == 0, return nothing and stop recursion.
therefore 1011
Solution 2
- x = 13, y = 2, mysteryMethod(13 / 2, 2) which is mysteryMethod(6, 2) since 6 != 0 go to next step
- x = 6 , y = 2, mysteryMethod(6 / 2, 2) which is mysteryMethod(3, 2) since 3 != 0 go to next step
- x = 3 , y = 2, mysteryMethod(3 / 2, 2) which is mysteryMethod(1, 2) since 1 != 0 go to next step
- x = 1 , y = 2, mysteryMethod(1 / 2, 2) which is mysteryMethod(0, 2) since 0 == 0 return nothing and stop recursion.
therefore return nothing
but the correct answer was 1101
Can anyone have a look at the code and explain me why 1101 is the correct answer and why my solutions are wrong?