</p>

The form of a natural number a in a number system with base p contains of n ones (digts "1") in a row.

Your task is to write a program that computes the greatest values of exponents of numbers 2 and 3 such that the remainder of a divided by both these values the remainder is 0.

입력 형식

Two values of natural numbers p (1 < p < 10⁹) and n (n < 10⁹) are input from the keyboard.

출력 형식

Two non-negative integer numbers must be output on the screen: the values of the greatest exponents of two and three.

예제 입력 1

17 2

예제 출력 1

1 2

예제 입력 2

10 4

예제 출력 2

0 0