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 |
|---|---|---|---|
| 0 | 15 | 10 | 9 |
| 1 | 6 | 11 | 7 |
| 2 | 14 | 12 | 3 |
| 3 | 0 | 13 | 11 |
| 4 | 7 | 14 | 9 |
| 5 | 15 | 15 | 4 |
| 6 | 1 | 16 | 12 |
| 7 | 8 | 17 | 3 |
| 8 | 5 | 18 | 5 |
| 9 | 2 | 19 | 13 |
*The 6 and 9 can be differentiated by the dots present bottom-right of the numbers.