Collatz
A fun little fact of mathematics is that simple rules can give rise to big consequences. For example, the Collatz Conjecture asks whether two simple rules can reduce any integer to 1.
Its statement is usually the following :
- For even numbers, halve by 2
- For odd numbers, multiply by 3, then add 1
Let's test it out !
Note: If you experience code timeouts, carefully check the logic of the if-else statement (or the Hint).
Cet exercice fait partie du cours
Intermediate Java
Instructions
- Enter the appropriate termination condition.
- Call a method to check if
nis even. - Handle the odd case correctly - this should only trigger if the original
nis odd.
Exercice interactif pratique
Essayez cet exercice en complétant cet exemple de code.
class Collatz {
static boolean isEven(int n) {
return n % 2 == 0;
}
public static void main(String[] args) {
int n = 1634;
int i = 0;
System.out.print(n);
// Enter the appropriate termination condition
while (____) {
// Call a method to check if n is even
if (____(n)) {
System.out.println(" is even");
n /= 2;
} // Handle the odd case correctly. All non-even integers are odd
____ {
System.out.println(" is odd");
n = n * 3 + 1;
}
System.out.print(n);
i += 1;
}
System.out.println(" reached in " + i + " steps");
}
}