## On the Subject of Variety

• Yellow wire
• Blue switch
• LED
• 4×4 maze
• Vertical slider
• Blue wire
• Knob
• Red switch
• 3×4 maze (tall)
• Blue button
• Yellow switch
• Yellow button
• Key-in-lock
• 4×3 maze (wide)
• Black wire
• Horizontal slider
• White switch
• Red wire
• White wire
• Red button
• Letter display
• White button
• 3×3 maze
• Digit display
• Braille display

Begin with a list of the items on the module, sorted into the order shown on the right.

Observe the number displayed at the top of the module. Decoding this number involves an iterative process. In each iteration, a number n is relevant. Perform these calculations:

• Take the number modulo n to obtain a value.
• Divide the number by n (rounding down) to obtain the number for the next iteration.

First, apply the iteration with n equal to the number of items in your list. The value obtained identifies which item to interact with, numbered from 0.

Next, apply the iteration in a way described by the below section for the relevant item. In general, n is the number of states the item can be in and the value identifies the state the item must be set to.

Afterwards, remove the item from your list. Continue this process, each time with the reduced list of remaining items.

Variety will only issue a strike if an item is interacted with while an item earlier in this process is in an invalid state. Incorrectly cut wires will only cause one strike. All other types of items must be corrected to avoid further strikes.

In the special case where the last item is put into the correct state, but an incorrectly cut wire causes a strike, an item may need to have its state changed and changed back to disarm the module.

### Sliders

n is the number of tickmarks. The states are numbered from 0, starting on the left for horizontal sliders and the top for vertical ones.

### Keys-in-lock

n is 10. Turn the key clockwise when the last seconds digit of the bomb’s timer equals the value.

n is the factorial of the number of keys. Obtain the order in which to press the keys by applying the iterative process to the obtained value. In each iteration, the value of n for the nested process is the number of remaining keys, which are numbered from 0 in reading order.

Colork
Red2
Yellow3
Blue4

n is equal to b choose k, where b is the number of buttons and k is obtained from the table based on the keys’ color.

You will need to press k of the buttons. Write down all ways of choosing k out of b buttons (with the buttons in reading order) and sort them as if they were binary numbers (1 = press, 0 = no press). The value identifies the combination to press (numbered from 0).

b choose k” = b! / (k! × (bk)!).
! is the factorial function.

### Knobs

n is the number of tickmarks. The states are numbered from 0 going clockwise. To find out which tickmark is state 0, start with the up-facing tickmark and move clockwise a number of tickmarks equal to the numeric value of the first character in the serial number (letters are A=1 to Z=26).

### Buttons

n is k + p, where k is obtained from the table based on the button’s color, while p is the number of corners of the button’s shape.

If the obtained value is < k, hold the button across that many timer ticks. Otherwise, subtract k − 2 from the value and tap the button that many times.

Then wait for two timer ticks for the input to be recognized.

A “timer tick” is a change in the seconds value of the bomb’s countdown timer.

### Digit displays

n is the number of prior items in the process excluding wires. The value identifies a prior item, numbered from 0 in the order of the process.

Set the display to the digit it showed in blue when that item was interacted with. Entered digits are shown in yellow.

### Wires

n is 2. If the condition in the following table is false, 1 means “cut” and 0 means “don’t cut”; if it is true, they are reversed.

Wire colorCondition
Blackmore battery holders than port plates
Bluemore letters than digits in the serial number
Redmore parallel+serial ports than all other port types
Yellowmore lit than unlit indicators
Whitemore D batteries than AA batteries

### LEDs

An LED starts out flashing between two colors. Look up that combination of colors in the following table to obtain a new list of colors. n is the size of that list. The value identifies a color from that list, numbered from 0.

Tap the LED once to switch to input mode. The LED will cycle all five possible colors. Tap the LED again when the correct color is shown to submit it.

R Y B W K B Y R W K Y W B R K Y R W B R W K Y W K B R W B B K Y R Y K B Y W B K R W

B = blue, K = black, R = red, W = white, Y = yellow

### Switches

n is the number of positions the switch can be toggled to (between 2 and 4). These positions are numbered from 0 starting from the full “up” position.

### Letter Displays

n is the number of words from the below word list that can be formed using the provided options. The words are numbered from 0 in alphabetical order.

• ACE
• ACT
• AID
• AIM
• AIR
• ALE
• ALL
• AND
• ANT
• APT
• ARM
• ART
• AWE
• AYE
• BAG
• BAR
• BAT
• BAY
• BED
• BEE
• BEG
• BET
• BID
• BIG
• BIT
• BIZ
• BOB
• BOW
• BOY
• BUT
• BYE
• CAN
• CAP
• CAR
• CAT
• COP
• COT
• COW
• CUE
• CUP
• CUT
• DAM
• DAY
• DIE
• DIG
• DIM
• DIP
• DOG
• DOT
• DRY
• DUE
• DUG
• DUO
• DYE
• EAR
• EAT
• FAN
• FAQ
• FAR
• FAT
• FAX
• FED
• FEE
• FEN
• FEW
• FIN
• FIT
• FIX
• FLY
• FOG
• FOR
• FRK
• FRQ
• FRY
• FUN
• FUR
• GET
• GIG
• GIN
• GUM
• GUT
• GUY
• HAM
• HAT
• HAY
• HEN
• HER
• HEY
• HIM
• HIP
• HIT
• HOP
• HOT
• HOW
• HUT
• ILK
• ILL
• IND
• INK
• IRK
• JAM
• JAR
• JAW
• JOB
• JOY
• KID
• KIN
• KIT
• LAP
• LAW
• LAY
• LEG
• LET
• LID
• LIE
• LIP
• LIT
• LOG
• LOO
• LOT
• LOW
• LUA
• LUG
• MAN
• MAP
• MAT
• MAX
• MAY
• MIC
• MID
• MIX
• MOB
• MOD
• MUD
• MUG
• MUM
• NET
• NEW
• NIL
• NLL
• NOD
• NOR
• NOT
• NOW
• NUN
• NUT
• OIL
• OPT
• OUR
• OUT
• OWE
• OWL
• PAN
• PAR
• PAT
• PAY
• PEG
• PEN
• PER
• PET
• PIE
• PIG
• PIN
• PIT
• POP
• POT
• POW
• PUB
• PUT
• QUA
• QUE
• QUO
• RAG
• RAM
• RAT
• RAW
• RED
• RGB
• RIB
• RID
• RIG
• RIM
• ROB
• ROD
• ROT
• ROW
• RUB
• RUG
• RUM
• RUN
• SAW
• SAY
• SEA
• SEE
• SET
• SHE
• SHY
• SIC
• SIG
• SIN
• SIR
• SIT
• SIX
• SLY
• SND
• SUE
• SUM
• SUN
• TAG
• TAP
• TAX
• TEA
• TEE
• TEN
• TGB
• THY
• TIE
• TIN
• TIP
• TOE
• TOO
• TOP
• TOY
• TRN
• TRY
• TUB
• VAT
• VET
• WAR
• WAX
• WAY
• WEE
• WET
• WHY
• WIG
• WIN
• WIT
• WIZ
• WRY
• YEN
• YET
• ZAG
• ZIG

### Braille displays

n is the number of distinct characters in the serial number. The value identifies which of those characters to input in Braille, numbered from 0 based on their first occurrence. Digits are input as 1=A, ..., 9=I, 0=J, except shifted down one row.

### Mazes

n is the number of positions in the maze (width times height).

Use the arrow buttons to move the symbol to the goal position identified by the value. The positions are numbered in reading order from 0 in the top-left corner.