On the Subject of Ruling Out Forget Any Color

I mean, calculators are useless only for this instance.

When enough non-ignored modules are solved, or upon activation, the module will display 3 colored cylinders, 2 nixies, a gear LED and number, and a 6-digit number. Take note of these for later. The defuser will know when to read out the stage when the module plays a distinct sound when a stage is generated.

NOTES: Turning the key before pressing the nixies generates more stages by increasing how often stages appear, to as low as 1 stage per 1 non-ignored solve.
Souvenir can ask about all the displayed information that was used for each stage. Keep this information with you if this module is present.
If the instructions provided are not clear, refer to the examples on how this is done.

Color	Gear Color #
Red	batteries
Orange	indicators
Yellow	port plates
Green	1st digit in S.N.
Cyan	battery holders
Blue	unlit indicators
Purple	ports
White	# of letters in S.N.

Obtaining the 5-Digit and 3-Digit Number:

1. Obtain a number associated with the color of the gear specified when this stage is revealed.
2. Take the last digit of this number and subtract 6 if that digit is greater than 6. Also treat 0s as 6s. This is referred to as X for the next step.
3. Where 1 is the left-most digit of the 6-digit number being displayed, obtain the 5-digit number by omitting the Xth digit of that 6-digit number. (486527, X=3: 48527)
4. Obtain the 3-digit number by concatenating the following digits in this order, the left nixie’s digit, the right nixie’s digit, and the gear’s digit.

For determining the nixie to press, this manual will reference L, M, R as the left, middle, and right cylinders.

Color	Cylinder
	L	M	R
Red	1	7	3
Orange	6	2	8
Yellow	8	5	1
Green	5	4	6
Cyan	2	6	4
Blue	7	3	5
Purple	3	1	7
White	4	8	2

Determining The Nixie To Press

Obtain the values from the cylinders displayed on that stage, which are the modifiers for the 5-digit number. Using the table underneath, determine which figure is used and located based on what nixie was pressed last. To assist with figuring out which figure, each figure has a group count to the right denoting how many digits are used in that group. Using Figure E for example, take the first 2 digits and make this a group, then the next digit as another group, and then finally the next 2 digits as the final group. When checking for a used figure for that stage, if a group in that figure extends to multiple digits, add the grouped digits together, after adding the modifiers to each digit separately in that group. Then check if the last digit in each group matches its corresponding position in the 3-digit number displayed. If at least 1 digit in that group doesn’t match, proceed to the next figure, until you find one that matches. Depending on which figure was used, apply the action corresponding to where the figure is located.

If this is the first stage, or the last nixie pressed is the left nixie...	If the last nixie pressed is the right nixie...
If it’s one of these figures press the left nixie: 5-digit number 1 2 3 4 5 A L M R 3, 1, 1 D L M R 1, 2, 2 Otherwise press the right nixie because it’s one of these figures: 5-digit number 1 2 3 4 5 B L M R 1, 3, 1 C L M R 1, 1, 3 E L M R 2, 1, 2 F L M R 2, 2, 1	If it’s one of these figures press the right nixie: 5-digit number 1 2 3 4 5 C L M R 1, 1, 3 F L M R 2, 2, 1 Otherwise press the left nixie because it’s one of these figures: 5-digit number 1 2 3 4 5 A L M R 3, 1, 1 B L M R 1, 3, 1 D L M R 1, 2, 2 E L M R 2, 1, 2

TIP: When checking for which figure was used, you can also add the grouped digits together, then add its respective modifier multiplied by the amount of digits in the group that was added together to get the same result.

Examples: FAC Stages, Typical Approach

The examples provided are taken with a rule seed of 1.

The typical approach follows the normal optimized procedure of checking 2 specific figures by using the 5-digit number first and altering them to determine if the 3-digit number underneath matches.

6-Digit Number: 482650; Cylinders: Orange, Green, Cyan Gear Color Value: 3; 3-digit Number: 494 First Stage
5-digit number: 48650 Modifiers: 6, 4, 4 Check figures A + D Figure A does not match Figure D does not match Press right nixie 4 8 6 5 0 A 6 4 4 0 4 2 9 4 6 9 4 4 8 6 5 0 D 6 4 4 0 2 8 9 4 0 0 3

6-Digit Number: 952043; Cylinders: Orange, Purple, Purple Gear Color Value: 2; 3-digit Number: 360 Right Nixie Last Pressed
5-digit number: 92043 Modifiers: 6, 1, 7 Check figures C + F Figure C does not match Figure F matches Press right nixie 9 2 0 4 3 C 6 1 7 5 3 7 1 0 5 3 8 9 2 0 4 3 F 6 1 7 5 8 1 5 0 3 6 0

6-Digit Number: 912664; Cylinders: White, Yellow, Blue Gear Color Value: 6; 3-digit Number: 881 Left Nixie Last Pressed
5-digit number: 91266 Modifiers: 4, 5, 5 Check figures A + D Figure A does not match Figure D does not match Press right nixie 9 1 2 6 6 A 4 5 5 3 5 6 1 1 4 6 1 9 1 2 6 6 D 4 5 5 3 6 7 1 1 3 3 2

Examples: FAC Stages, Meet-In-The-Middle Approach

The examples provided are taken with a rule seed of 1.

The meet-in-the-middle approach works backwards by undoing the cylinder modifications on the 3-digit displayed number in a less obvious way. This is done by subtracting each of the cylinder’s value multiplied by the amount of digits in that group from each of the digits in the 3-digit number, modulo 10, then checking the sum of the digits from the 5-digit number associated with the same group. This can be optimized EVEN FURTHER by first checking the parities of the digits used in that group compared to the digit expected to obtain.

6-Digit Number: 482650; Cylinders: Orange, Green, Cyan Gear Color Value: 3; 3-digit Number: 494 First Stage
5-digit number: 48650 Modifiers: 6, 4, 4 Check figures A + D Figure A does not match Figure D does not match Press right nixie A 4-6×3 9-4 4-4 8 5 0 6 - - 4 8 6 5 0 D 4-6 9-4×2 4-4×2 8 1 6 - 4 5 4 8 6 5 0

6-Digit Number: 952043; Cylinders: Orange, Purple, Purple Gear Color Value: 2; 3-digit Number: 360 Right Nixie Last Pressed
5-digit number: 92043 Modifiers: 6, 1, 7 Check figures C + F Figure C does not match Figure F matches Press right nixie A 3-6 6-1 0-7×3 7 5 9 - - 7 9 2 0 4 3 F 3-6×2 6-1×2 0-7 1 4 3 1 4 - 9 2 0 4 3

6-Digit Number: 912664; Cylinders: White, Yellow, Blue Gear Color Value: 6; 3-digit Number: 881 Left Nixie Last Pressed
5-digit number: 91266 Modifiers: 4, 5, 5 Check figures A + D Figure A does not match Figure D does not match Press right nixie A 8-4×3 8-5 1-5 6 3 6 2 - - 9 1 2 6 6 D 8-4 8-5×2 1-5×2 4 8 1 - 3 2 9 1 2 6 6