Bamboozled Again

On the Subject of Bamboozled Again

“Wait, was that the letter Echo or the word E?”, you say,
as you are baffled, befuddled, and bemused.
This module will beguile, and buffalo, and bewilder,
to make sure it is never defused.

This module consists of six coloured buttons, each with a line of text written on them, and a screen that displays a message that is broken into eight parts.
Each part of the message is encrypted using three key values (A, B, and C) in the following way:

Each character, including spaces, is shifted A characters to the left.
(0 ≤ A < no. of characters in text)
A pair of symbols is appended to the ends of the text.
Each character, including symbols, is Caesar shifted B letters/symbols forwards. (0 < B ≤ 26)
The text is transcribed using one of six different sets of glyphs; the set used gives the C value.

Each unencrypted text, excluding texts 2 and 4, have values that are modified by an operation corresponding to that text’s colour.

Using these values, together with A, B, and C, gives the final value of each text.

Each button has an initial value, given by its colour and the text written on it.

Using these values, together with the final values of the display texts, gives the final value of each button.

The correct buttons to push are given by their final values.

Use the text on the buttons, their colours, and the symbols added to each of the display texts at step 2 of the encryption, to find the correct times to push the buttons.

Pushing a button will cause an LED to turn on. Once all four LEDs are on, the inputs will be submitted.

The LEDs will change colour according to the submitted inputs:

Green - The correct button was pressed at the right time.
Yellow - The correct button was pressed at the wrong time.
Red - The wrong button was pressed.

If all four LEDs turn green, the module is solved. Otherwise, if none of the LEDs turn red, the module will reset but a strike will not be issued. Otherwise, the module will reset and a strike will be issued.

Additional module info:

The LEDs can be pressed at any time to affect the display cycle:

Left - Cycles to the previous text while paused.
Mid-left - Resumes automatic text cycling.
Mid-right - Pauses text cycling
Right - Cycles to the next text while paused.

Section 1: What to press

Subsection 1.1: Glyph tables

The tables below show the glyphs for both the letters and symbols:

Symbols are represented by the same glyphs regardless of which set they belong to.
All glyphs are the same size on the display.
‘#’ is used to represent spaces.
Letters and symbols are independently shifted down their respective tables by step 3 of the encryption.

	Set A	Set B	Set C	Set D	Set E	Set F
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Value C	11	12	13	14	15	16

Symbol Table
#
'
"
?
-
*
~
!

Subsection 1.2: Raw data

The unencrypted display texts and button texts can be found in the set below.
Each text has a corresponding raw value, R:

Display texts 2 and 4 do not have raw values and will always be either THEN or NEXT.
Display texts 1, 3, and 5 can all be found in the top row of the set.
Display texts 6, 7, and 8 cannot be found in the top row of the set.

THE LETTER	ONE LETTER	THE COLOUR	ONE COLOUR	THE PHRASE	ONE PHRASE
40	24	32	39	20	15

ALPHA	BRAVO	CHARLIE	DELTA	ECHO	GOLF	KILO	QUEBEC	TANGO
70	84	83	61	66	46	68	56	80

WHISKEY	VICTOR	YANKEE	ECHO ECHO	E THEN E	ALPHA PAPA	PAPA ALPHA	PAPHA ALPA	T GOLF
54	65	41	84	60	56	86	69	50

TANGOLF	WHISKEE	WHISKY	CHARLIE C	C CHARLIE	YANGO	DELTA NEXT	CUEBEQ	MILO
62	78	64	43	41	51	47	57	45

KI LO	HI-LO	VVICTOR	VICTORR	LIME BRAVO	BLUE BRAVO	G IN JADE	G IN ROSE	BLUE IN RED
46	86	84	82	78	47	59	63	42

YES BUT NO	COLOUR	MESSAGE	CIPHER	BUTTON	TWO BUTTONS	SIX BUTTONS	I GIVE UP	ONE ELEVEN
89	77	70	55	67	79	71	58	86

ONE ONE ONE	THREE ONES	WHAT?	THIS?	THAT?	BLUE!	ECHO!	BLANK	BLANK?!
58	88	49	78	68	75	45	44	56

NOTHING	YELLOW TEXT	BLACK TEXT?	QUOTE V	END QUOTE	"QUOTE K"	IN RED	ORANGE	IN YELLOW
72	70	46	73	66	52	48	69	41

LIME	IN GREEN	JADE	IN CYAN	AZURE	IN BLUE	VIOLET	IN MAGENTA	ROSE
58	84	47	45	55	83	74	51	67

Subsection 1.3: Data modification

Modify the raw text values using the rule that corresponds to that text’s colour to obtain its modified value, S:

Text Colour	Modification
White	Do nothing
Red	Subtract the first digit
Orange	Replace the second digit with the first
Yellow	Add the second digit
Lime	Subtract the higher digit
Green	Subtract the sum of the digits
Jade	Subtract twice the first digit

Text Colour	Modification
Grey	Swap the digits
Cyan	Subtract the second digit
Azure	Replace the first digit with the second
Blue	Add the first digit
Violet	Subtract the lower digit
Magenta	Subtract the difference between the digits
Rose	Subtract twice the second digit

Subsection 1.4: Final text values

The final value, T, for each of the six texts that can be evaluated, is given by:

T = S + 5A + 2(B + C)

Subsection 1.5: Initial button values

Follow the instructions below to compute the initial value, I, of each of the six buttons:

- If the button is black, begin with I = 30.
- Otherwise, if the button is white or grey, begin with I = 20.
- Otherwise, begin with I = 0.
- If the colour of the button is written on itself, add 70.
- Otherwise, if the complementary colour of the button is written on it, add 35.
- Otherwise, if any colour or the word COLOUR is written on the button, add 5.
Add 60 for each unencrypted display text that is the same as the text written on the button.
Add 15 for each display text that is the same colour as the button.
If the button is not grey, add 10 for each display text whose colour is complementary to the colour of the button.

Subsection 1.6: Final button values

Use the table below to find which display text’s final values are T₁, T₂, and T₃ for each button.

Position of button	T₁	T₂	T₃
TL	Display text 6	Display text 1	Display text 1
TM	Display text 7	Display text 3	Display text 1
TR	Display text 8	Display text 3	Display text 3
BL	Display text 6	Display text 5	Display text 3
BM	Display text 7	Display text 5	Display text 5
BR	Display text 8	Display text 1	Display text 5

The final value of each button, F, is then given by the equation:

F = 3I + 2(T₁ + T₂ + T₃)

To solve the module, press the buttons with the four highest final value in ascending order.

Note: If more than one button has the desired final value, the correct one to push occurs first in reading order.
Buttons change their colour and text when pressed and their initial values change accordingly.
This may change which button needs to be pressed next.

Section 2: When to press

Subsection 2.1: The first three buttons

Subsection 2.1.1: Button text modification

Once the correct button to press has been identified, modify the raw value of the text written on that button using the rule corresponding to that button’s colour:

Button Colour	Value X
White	The highest digit
Red	The first digit subtract the second
Orange	The digital root
Yellow	The first digit
Lime	The first digit subtract the digital root
Green	The sum of the digits
Jade	Twice the first digit
Grey	The sum of the digits subtract the digital root
Cyan	The second digit subtract the first
Azure	The negative digital root
Blue	The second digit
Violet	The second digit subtract the digital root
Magenta	Ten minus the sum of the digits
Rose	Twice the second digit
Black	The lowest digit

Subsection 2.1.2: Y value computation

If there are no lit LEDs, the Y value is the current X value.
If there is one lit LED and, once deciphered,
- display text 2 is THEN, Y is the current X value plus the previous X value.
- display text 2 is NEXT, Y is the current X value minus the previous X value.
If there are two lit LEDs and, once deciphered,
- display text 4 is THEN, Y is the current X value plus the previous Y value.
- display text 4 is NEXT, Y is the current X value minus the previous Y value.

Subsection 2.1.3: Final computation

The time to push the button is given by the Y value and the symbols appended to the text at step 2 of the encryption.

If there are no lit LEDs, use the symbols appended to display text 8.
If there is one lit LED, use the symbols appended to display text 7.
If there are two lit LEDs, use the symbols appended to display text 6.

Symbol	Press the button when..
#	the last digit of the timer is Y mod 10
'	the sum of the last two digits of the timer is (Y mod 9) + 3
"	the sum of the last two digits of the timer is (2Y mod 9) + 3
?	the difference between the last two digits of the timer is Y mod 5
-	the last digit of the timer is 9 - (Y mod 10)
*	the sum of the last two digits of the timer is 11 - (Y mod 9)
~	the sum of the last two digits of the timer is 11 - (2Y mod 9)
!	the difference between the last two digits of the timer is 2Y mod 5

Subsection 2.2: The final button

Using the table on Page 3:
- Modify the raw value of the text on the button using the rule corresponding to the colour of display text 2 to obtain S₁.
- Modify the raw value of the text on the button using the rule corresponding to the colour of display text 4 to obtain S₂.
Using the table on Page 5:
- Modify S₁ using the rule corresponding to the colour of the button to obtain X₁.
- Modify S₂ using the rule corresponding to the colour of the button to obtain X₂.
- If display texts 2 and 4 are the same when deciphered, Y is the sum of X₁ and X₂.
- Otherwise, Y is the absolute difference between X₁ and X₂.
Locate the symbol in the table below given by the symbols appended to display texts 2 and 4 at step 2 of the encryption, and press the button when the condition corresponding to that symbol is satisfied.

	#	'	"	?	-	*	~	!
#	#	'	"	?	-	*	~	!
'	'	'	?	-	*	~	!	#
"	"	?	"	*	~	!	#	'
?	?	-	*	?	!	#	'	"
-	-	*	~	!	-	'	"	?
*	*	~	!	#	'	*	?	-
~	~	!	#	'	"	?	~	*
!	!	#	'	"	?	-	*	!

	#	'	"	?	-	*	~	!
#	#	'	"	?	-	*	~	!
'	'	'	?	-	*	~	!	#
"	"	?	"	*	~	!	#	'
?	?	-	*	?	!	#	'	"
-	-	*	~	!	-	'	"	?
*	*	~	!	#	'	*	?	-
~	~	!	#	'	"	?	~	*
!	!	#	'	"	?	-	*	!

	#	'	"	?	-	*	~	!
#	#	'	"	?	-	*	~	!
'	'	'	?	-	*	~	!	#
"	"	?	"	*	~	!	#	'
?	?	-	*	?	!	#	'	"
-	-	*	~	!	-	'	"	?
*	*	~	!	#	'	*	?	-
~	~	!	#	'	"	?	~	*
!	!	#	'	"	?	-	*	!