Kata

Introduction

10, 9, 8, 7, 6, 5, 4, 3, 2, 1, zero.

Increasing the step the countdown may be faster

10, 8, 6, 4, 2, zero.

But will it reach zero?

10, 7, 4, 1, 4294967294, 4294967291, ...

Using 32 bit unsigned integers, sometimes the countdown will eventually reach zero, and sometimes it will loop forever.

Task

Given the start value and the step, determine if the countdown will eventually reach 0.

Countdown algorithm:

Input

• start: start value, integer. Range: $0\le \text{start}<2^{32}\backslash small0\backslash le\backslash hbox\{start\}\backslash lt2^\{32\}$
• step: counter step, integer. Range: $0\le \text{step}<2^{32}\backslash small0\backslash le\backslash hbox\{step\}\backslash lt2^\{32\}$

Output

True if the countdown will eventually reach 0, False otherwise.

Restrictions

The code should not be longer than 42 bytes.

For compatibility with future versions of python, the code should not contain numeric literals immediately followed by keywords.

1or 2   # no
1 or 2  # ok

Examples

start  step  | result   |
--------------------------------------------
  10     1   |  True    |   10,9,8,7,6,5,4,3,2,1,0.
  10     2   |  True    |   10,8,6,4,2,0.
  10     3   |  True    |   10,7,4,1,4294967294, ..., 5,2,4294967295, ..., 6,3,0.
   4     2   |  True    |   4,2,0.
   2     4   |  False   |   2,4294967294,4294967290, ..., 6,2,4294967294, ...
   7     2   |  False   |   7,5,3,1,4294967295, ..., 3,1,4294967295, ...