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 six rows of the table.
Display texts 6, 7, and 8 cannot be found in the remaining rows of the table.

Use the row equal to the text on the display and the column equal to its colour to obtain a modified value, S:

(Don’t do this for displays 2 and 4.)

	W	A	R	O	Y	L	G	J	C	Z	B	V	M	S
THE LETTER	40	04	36	44	40	36	36	32	40	00	44	40	36	40
ONE LETTER	24	42	22	22	28	20	18	20	20	44	26	22	22	16
THE COLOUR	32	23	29	33	34	29	27	26	30	22	35	30	31	28
ONE COLOUR	39	93	36	33	48	30	27	33	30	99	42	36	33	21
THE PHRASE	20	02	18	22	20	18	18	16	20	00	22	20	18	20
ONE PHRASE	15	51	14	11	20	10	09	13	10	55	16	14	11	05
ALPHA	70	07	63	77	70	63	63	56	70	00	77	70	63	70
ALPHA PAPA	56	65	51	55	62	50	45	46	50	66	61	51	55	44
AZURE	55	55	50	55	60	50	45	45	50	55	60	50	55	45
BLACK TEXT?	46	64	42	44	52	40	36	38	40	66	50	42	44	34
BLANK	44	44	40	44	48	40	36	36	40	44	48	40	44	36
BLANK?!	56	65	51	55	62	50	45	46	50	66	61	51	55	44
BLUE BRAVO	47	74	43	44	54	40	36	39	40	77	51	43	44	33
BLUE IN RED	42	24	38	44	44	38	36	34	40	22	46	40	40	38
BLUE!	75	57	68	77	80	68	63	61	70	55	82	70	73	65
BRAVO	84	48	76	88	88	76	72	68	80	44	92	80	80	76
BUTTON	67	76	61	66	74	60	54	55	60	77	73	61	66	53
C CHARLIE	41	14	37	44	42	37	36	33	40	11	45	40	38	39
CHARLIE	83	38	75	88	86	75	72	67	80	33	91	80	78	77
CHARLIE C	43	34	39	44	46	39	36	35	40	33	47	40	42	37
CIPHER	55	55	50	55	60	50	45	45	50	55	60	50	55	45
COLOUR	77	77	70	77	84	70	63	63	70	77	84	70	77	63

	W	A	R	O	Y	L	G	J	C	Z	B	V	M	S
CUEBEQ	57	75	52	55	64	50	45	47	50	77	62	52	55	43
DELTA	61	16	55	66	62	55	54	49	60	11	67	60	56	59
DELTA NEXT	47	74	43	44	54	40	36	39	40	77	51	43	44	33
E THEN E	60	06	54	66	60	54	54	48	60	00	66	60	54	60
ECHO	66	66	60	66	72	60	54	54	60	66	72	60	66	54
ECHO ECHO	84	48	76	88	88	76	72	68	80	44	92	80	80	76
ECHO!	45	54	41	44	50	40	36	37	40	55	49	41	44	35
END QUOTE	66	66	60	66	72	60	54	54	60	66	72	60	66	54
G IN JADE	59	95	54	55	68	50	45	49	50	99	64	54	55	41
G IN ROSE	63	36	57	66	66	57	54	51	60	33	69	60	60	57
GOLF	46	64	42	44	52	40	36	38	40	66	50	42	44	34
HI-LO	86	68	78	88	92	78	72	70	80	66	94	80	84	74
I GIVE UP	58	85	53	55	66	50	45	48	50	88	63	53	55	42
IN BLUE	83	38	75	88	86	75	72	67	80	33	91	80	78	77
IN CYAN	45	54	41	44	50	40	36	37	40	55	49	41	44	35
IN GREEN	84	48	76	88	88	76	72	68	80	44	92	80	80	76
IN MAGENTA	51	15	46	55	52	46	45	41	50	11	56	50	47	49
IN RED	48	84	44	44	56	40	36	40	40	88	52	44	44	32
IN YELLOW	41	14	37	44	42	37	36	33	40	11	45	40	38	39
JADE	47	74	43	44	54	40	36	39	40	77	51	43	44	33
KI LO	46	64	42	44	52	40	36	38	40	66	50	42	44	34
KILO	68	86	62	66	76	60	54	56	60	88	74	62	66	52
LIME	58	85	53	55	66	50	45	48	50	88	63	53	55	42
LIME BRAVO	78	87	71	77	86	70	63	64	70	88	85	71	77	62
MESSAGE	70	07	63	77	70	63	63	56	70	00	77	70	63	70
MILO	45	54	41	44	50	40	36	37	40	55	49	41	44	35
NOTHING	72	27	65	77	74	65	63	58	70	22	79	70	67	68
ONE ELEVEN	86	68	78	88	92	78	72	70	80	66	94	80	84	74
ONE ONE ONE	58	85	53	55	66	50	45	48	50	88	63	53	55	42
ORANGE	69	96	63	66	78	60	54	57	60	99	75	63	66	51
PAPA ALPHA	86	68	78	88	92	78	72	70	80	66	94	80	84	74
PAPHA ALPA	69	96	63	66	78	60	54	57	60	99	75	63	66	51
QUEBEC	56	65	51	55	62	50	45	46	50	66	61	51	55	44

	W	A	R	O	Y	L	G	J	C	Z	B	V	M	S
"QUOTE K"	52	25	47	55	54	47	45	42	50	22	57	50	49	48
QUOTE V	73	37	66	77	76	66	63	59	70	33	80	70	69	67
ROSE	67	76	61	66	74	60	54	55	60	77	73	61	66	53
SIX BUTTONS	71	17	64	77	72	64	63	57	70	11	78	70	65	69
T GOLF	50	05	45	55	50	45	45	40	50	00	55	50	45	50
TANGO	80	08	72	88	80	72	72	64	80	00	88	80	72	80
TANGOLF	62	26	56	66	64	56	54	50	60	22	68	60	58	58
THAT?	68	86	62	66	76	60	54	56	60	88	74	62	66	52
THIS?	78	87	71	77	86	70	63	64	70	88	85	71	77	62
THREE ONES	88	88	80	88	96	80	72	72	80	88	96	80	88	72
TWO BUTTONS	79	97	72	77	88	70	63	65	70	99	86	72	77	61
VICTOR	65	56	59	66	70	59	54	53	60	55	71	60	64	55
VICTORR	82	28	74	88	84	74	72	66	80	22	90	80	76	78
VIOLET	74	47	67	77	78	67	63	60	70	44	81	70	71	66
VVICTOR	84	48	76	88	88	76	72	68	80	44	92	80	80	76
WHAT?	49	94	45	44	58	40	36	41	40	99	53	45	44	31
WHISKEE	78	87	71	77	86	70	63	64	70	88	85	71	77	62
WHISKY	64	46	58	66	68	58	54	52	60	44	70	60	62	56
WHISKEY	54	45	49	55	58	49	45	44	50	44	59	50	53	46
YANGO	51	15	46	55	52	46	45	41	50	11	56	50	47	49
YANKEE	41	14	37	44	42	37	36	33	40	11	45	40	38	39
YELLOW TEXT	70	07	63	77	70	63	63	56	70	00	77	70	63	70
YES BUT NO	89	98	81	88	98	80	72	73	80	99	97	81	88	71

(For the calculation of X values in Section 2, refer to the value found in the White (W) column, and use that button’s color.)

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.

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

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

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