On the Subject of The Shaker

Let’s shake things up, shall we?

This module will contain sixteen balls, each labeled with a unique number* from zero to nineteen (inclusive). You must input four numbers into the module to solve it.

To input a number, set the four lights to their proper statuses and press the center of the module. The number when all of the lights are off is zero. The bottom-right light represents adding one to the number, the bottom-left two, the top-right four, and the top-left eight.

To determine the numbers to input, take the following steps:

  • Take the four numbers missing from the balls (call them A – D in order from greatest to smallest).
  • Add 10 to each and multiply them together.
  • Associate the 4 least significant digits of this product with A – D.
  • Order by the associated digits (then by the original number in case of ties).
  • Convert A – D to new numbers according to the below table and submit those in the new order.
Ordered Number Submitted Number Ordered Number Submitted Number
015109
16117
214123
301311
47149
515154
611612
78173
85185
921913

*The 6 and 9 can be differentiated by the dots present bottom-right of the numbers.