Beanboozled Again

On the Subject of Making Beanboozled Again Not Pain

Uhh

To decode a beanzleglyph, first convert its quarter component shapes into digits. Pair the top quarters, and the bottom quarters together. Then, look up the pairs in the right table, in clockwise fashion, as column and row, respectively. Use the contents to the left of the slash for the top pair, and to the right for the bottom pair. The first character of the content is a half-coordinate, while the second is a set value. Look up the two half-coordinates in the left table to obtain your decoded character.

	A	B	C	D	E	F
1	S	5	Ø	J	8	X
2	O	W	Z	1	H	F
3	V	M	Q	4	E	L
4	3	D	T	C	6	U
5	G	N	2	R	A	Y
6	P	9	K	I	B	7

	Ø	1	2	3	4	5
Ø	A3/61	C4/44	E2/14	D2/63	C2/55
1	F1/11	B2/33	D3/12	F5/32	F2/24
2	A4/64	D1/25	B3/62	E5/35	F3/22
3	C3/23	C1/31	A2/21	F4/15	B4/34	D4/54
4	D5/65	C5/42	E4/53	A5/43	E3/13	B5/52
5				B1/45	E1/41	A1/51

Ø
1
2
3
4
5

Convert the display to 8 base-36 characters using the process above. In the decryption table, eliminate any row that ends up on a red tile (Ø12456789QX) when cross-referenced with any of your encrypted characters, and any row that does not contain a blue tile (ABEILNORSTU) when cross-referenced with any of your duplicated characters (if any). Finally, check the remaining C values by looking for the displayed letters and reading off the cross-referenced letter with the respective C value. The C value is the number on the left of the table, the D value is the value corresponding to the message.

BEANBOOZLED	BEANEDAGAIN	BAMBOOZLING	TOOCOLOURFUL	BEANINGS	HYPERBEANS	ULTRABEANS	COOLBEANS
11	12	13	14	15	16	17	18
ROTTENBEANS	JELLYBEANS	LONGBEANS	LOBEANTOMY	NOTGOODBEAN	SAUCYBEANS	BAKEDBEANS	BEANOVERLOAD
21	22	23	24	25	26	27	28
BEANCIPHER	AMBEANGUOUS	BURNEDBEAN	KILLERBEAN	INEDIBLE	SURELYNOTCORN	BEANKRUPT	SUPERMARKET
31	32	33	34	35	36	37	38
GROCERIES	ROWANATKINSON	MEANDTHEBOYS	AT3AMLOOKING	FORBEANS	DANSBEANS	POGBEANS	BEANSANITY
41	42	43	44	45	46	47	48

Dec	Ø	1	2	3	4	5	6	7	8	9	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
ØØ1	Ø	D	P	Z	C	H	6	G	8	4	R	A	9	U	3	2	Q	Y	T	J	K	L	S	M	O	F	7	B	N	X	1	V	W	I	5	E
ØØ2	Ø	U	F	E	9	Y	6	Q	8	C	B	R	4	1	Z	P	7	5	X	J	K	L	N	S	O	2	G	A	M	I	D	V	W	T	H	3
Ø1Ø	Y	S	L	F	3	A	W	E	B	M	T	R	1	K	N	4	J	Ø	X	Q	U	P	Z	7	I	2	G	8	C	5	D	6	V	O	H	9
Ø11	Y	K	2	9	1	Ø	W	J	B	3	8	T	M	D	F	L	G	H	5	Q	U	P	C	Z	I	4	E	R	7	O	S	6	V	X	A	N
Ø12	Y	D	4	N	M	H	W	G	B	1	R	8	3	S	9	2	E	A	O	Q	U	P	7	C	I	L	J	T	Z	X	K	6	V	5	Ø	F
Ø2Ø	H	C	P	4	F	T	V	N	R	Z	5	8	S	U	7	3	Q	Y	O	G	D	2	9	E	X	L	J	B	1	A	K	W	6	I	Ø	M
Ø21	H	U	L	M	S	Y	V	Q	R	F	B	5	Z	K	4	P	J	Ø	A	G	D	2	1	9	X	3	N	8	E	I	C	W	6	O	T	7
Ø22	H	K	3	7	Z	Ø	V	J	R	S	8	B	F	C	M	L	N	T	I	G	D	2	E	1	X	P	Q	5	9	O	U	W	6	A	Y	4
1ØØ	8	7	D	C	S	A	W	F	O	M	T	I	N	G	4	1	2	R	Y	L	J	K	Z	3	Ø	U	P	X	E	5	Q	6	V	H	B	9
1Ø1	8	G	U	9	N	R	W	2	O	S	X	T	M	Q	C	D	P	B	5	L	J	K	E	Z	Ø	1	F	I	3	H	7	6	V	Y	A	4
1Ø2	8	Q	1	4	M	B	W	P	O	N	I	X	S	7	9	U	F	A	H	L	J	K	3	E	Ø	D	2	T	Z	Y	G	6	V	5	R	C
11Ø	B	E	K	1	C	T	V	4	I	Z	5	X	7	J	3	S	L	8	H	P	Q	U	9	F	Y	D	2	O	N	A	G	W	6	Ø	R	M
111	B	J	D	M	7	8	V	L	I	C	O	5	Z	G	1	K	2	R	A	P	Q	U	N	9	Y	S	4	X	F	Ø	E	W	6	H	T	3
112	B	G	S	3	Z	R	V	2	I	7	X	O	C	E	M	D	4	T	Ø	P	Q	U	F	N	Y	K	L	5	9	H	J	W	6	A	8	1
12Ø	R	N	U	S	1	5	6	3	X	9	A	O	E	Q	F	C	P	B	Ø	2	G	D	M	4	H	K	L	I	7	T	J	V	W	Y	8	Z
121	R	Q	K	Z	E	B	6	P	X	1	I	A	9	J	S	U	L	8	T	2	G	D	7	M	H	C	3	O	4	Y	N	V	W	Ø	5	F
122	R	J	C	F	9	8	6	L	X	E	O	I	1	N	Z	K	3	5	Y	2	G	D	4	7	H	U	P	A	M	Ø	Q	V	W	T	B	S
2ØØ	O	F	G	N	E	T	V	1	Ø	Z	5	Y	3	2	S	7	D	X	B	K	L	J	9	C	8	Q	U	H	4	A	P	W	6	R	I	M
2Ø1	O	2	Q	M	3	X	V	D	Ø	E	H	5	Z	P	N	G	U	I	A	K	L	J	4	9	8	7	1	Y	C	R	F	W	6	B	T	S
2Ø2	O	P	7	S	Z	I	V	U	Ø	3	Y	H	E	F	M	Q	1	T	R	K	L	J	C	4	8	G	D	5	9	B	2	W	6	A	X	N
21Ø	I	4	J	7	N	5	6	S	Y	9	A	H	F	L	C	E	K	O	R	U	P	Q	M	1	B	G	D	Ø	3	T	2	V	W	8	X	Z
211	I	L	G	Z	F	O	6	K	Y	N	Ø	A	9	2	7	J	D	X	T	U	P	Q	3	M	B	E	S	H	1	8	4	V	W	R	5	C
212	I	2	E	C	9	X	6	D	Y	F	H	Ø	N	4	Z	G	S	5	8	U	P	Q	1	3	B	J	K	A	M	R	L	V	W	T	O	7
22Ø	X	3	Q	E	7	A	W	C	H	M	T	Ø	4	P	1	N	U	I	8	D	2	G	Z	S	R	J	K	Y	F	5	L	6	V	B	O	9
221	X	P	J	9	4	I	W	U	H	7	Y	T	M	L	E	Q	K	O	5	D	2	G	F	Z	R	N	C	Ø	S	B	3	6	V	8	A	1
222	X	L	N	1	M	O	W	K	H	4	Ø	Y	7	3	9	J	C	A	B	D	2	G	S	F	R	Q	U	T	Z	8	P	6	V	5	I	E

Enc	Ø	1	2	3	4	5	6	7	8	9	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
ØØ1	Ø	U	F	E	9	Y	6	Q	8	C	B	R	4	1	Z	P	7	5	X	J	K	L	N	S	O	2	G	A	M	I	D	V	W	T	H	3
ØØ2	Ø	D	P	Z	C	H	6	G	8	4	R	A	9	U	3	2	Q	Y	T	J	K	L	S	M	O	F	7	B	N	X	1	V	W	I	5	E
Ø1Ø	H	C	P	4	F	T	V	N	R	Z	5	8	S	U	7	3	Q	Y	O	G	D	2	9	E	X	L	J	B	1	A	K	W	6	I	Ø	M
Ø11	5	4	2	9	P	I	V	S	A	3	Y	8	M	D	Q	E	G	H	O	7	1	F	C	Z	T	L	J	R	U	B	K	W	6	X	Ø	N
Ø12	Y	9	F	C	2	X	V	M	B	E	H	8	N	1	G	Z	7	5	O	Q	U	P	4	3	I	L	J	A	D	R	K	W	6	T	Ø	S
Ø2Ø	Y	S	L	F	3	A	W	E	B	M	T	R	1	K	N	4	J	Ø	X	Q	U	P	Z	7	I	2	G	8	C	5	D	6	V	O	H	9
Ø21	H	M	L	P	E	B	W	Z	R	N	I	A	U	K	S	9	J	Ø	T	G	D	2	3	Q	X	F	7	8	4	Y	1	6	V	O	5	C
Ø22	5	N	L	2	Z	R	W	3	A	S	X	B	D	K	M	C	J	Ø	I	7	1	F	E	G	T	P	Q	8	9	H	U	6	V	O	Y	4
1ØØ	O	F	G	N	E	T	V	1	Ø	Z	5	Y	3	2	S	7	D	X	B	K	L	J	9	C	8	Q	U	H	4	A	P	W	6	R	I	M
1Ø1	O	P	7	S	Z	I	V	U	Ø	3	Y	H	E	F	M	Q	1	T	R	K	L	J	C	4	8	G	D	5	9	B	2	W	6	A	X	N
1Ø2	O	2	Q	M	3	X	V	D	Ø	E	H	5	Z	P	N	G	U	I	A	K	L	J	4	9	8	7	1	Y	C	R	F	W	6	B	T	S
11Ø	X	3	Q	E	7	A	W	C	H	M	T	Ø	4	P	1	N	U	I	8	D	2	G	Z	S	R	J	K	Y	F	5	L	6	V	B	O	9
111	T	E	G	Z	Q	B	W	4	5	N	I	Ø	9	2	U	S	D	X	8	1	F	7	3	M	A	J	K	H	P	Y	L	6	V	R	O	C
112	I	Z	7	3	G	R	W	9	Y	S	X	Ø	C	F	D	M	1	T	8	U	P	Q	E	N	B	J	K	5	2	H	L	6	V	A	O	4
12Ø	I	4	J	7	N	5	6	S	Y	9	A	H	F	L	C	E	K	O	R	U	P	Q	M	1	B	G	D	Ø	3	T	2	V	W	8	X	Z
121	X	9	J	Q	S	Y	6	M	H	C	B	5	P	L	4	Z	K	O	A	D	2	G	N	U	R	7	1	Ø	E	I	F	V	W	8	T	3
122	T	C	J	G	M	H	6	N	5	4	R	Y	2	L	9	3	K	O	B	1	F	7	S	D	A	Q	U	Ø	Z	X	P	V	W	8	I	E
2ØØ	8	7	D	C	S	A	W	F	O	M	T	I	N	G	4	1	2	R	Y	L	J	K	Z	3	Ø	U	P	X	E	5	Q	6	V	H	B	9
2Ø1	8	Q	1	4	M	B	W	P	O	N	I	X	S	7	9	U	F	A	H	L	J	K	3	E	Ø	D	2	T	Z	Y	G	6	V	5	R	C
2Ø2	8	G	U	9	N	R	W	2	O	S	X	T	M	Q	C	D	P	B	5	L	J	K	E	Z	Ø	1	F	I	3	H	7	6	V	Y	A	4
21Ø	R	N	U	S	1	5	6	3	X	9	A	O	E	Q	F	C	P	B	Ø	2	G	D	M	4	H	K	L	I	7	T	J	V	W	Y	8	Z
211	A	S	D	M	U	Y	6	E	T	C	B	O	Z	G	P	4	2	R	Ø	F	7	1	N	9	5	K	L	X	Q	I	J	V	W	H	8	3
212	B	M	1	N	D	H	6	Z	I	4	R	O	3	7	2	9	F	A	Ø	P	Q	U	S	C	Y	K	L	T	G	X	J	V	W	5	8	E
22Ø	B	E	K	1	C	T	V	4	I	Z	5	X	7	J	3	S	L	8	H	P	Q	U	9	F	Y	D	2	O	N	A	G	W	6	Ø	R	M
221	R	Z	K	U	4	I	V	9	X	3	Y	T	Q	J	E	M	L	8	5	2	G	D	C	P	H	1	F	O	S	B	7	W	6	Ø	A	N
222	A	3	K	D	9	X	V	C	T	E	H	I	G	J	Z	N	L	8	Y	F	7	1	4	2	5	U	P	O	M	R	Q	W	6	Ø	B	S

For each bean read off its character normally and upside-down. Interpret these values as base-36 and add them together. Then modulo this value by 36 to get the n^th item in a new array, labelled I. Highlighting a bean will show 5 colours. BC_n will refer to the n^th colour shown on a bean. For each bean in reading order use the row corresponding to its index and the column corresponding to BC₄. Repeat this using BC₅. Then execute the commands on I as ordered by the instruction table. The pointer starts at the index corresponding to the last digit of the D value. Call the final array B. Note: Black is assigned a value of Ø.

	Ol	Bn	Lf	Yk	Ac	Li	Gd	Pe	Yl	Bd	Be	Mi	Le	We	Wt
1	<	>	+	-	[	]	,	.	←	→	↑	↓	*	∴	∵
2	>	,	-	↓	↑	∵	]	+	→	←	*	.	∴	<	[
3	-	→	*	←	↑	.	<	+	↓	>	]	∴	[	,	∵
4	→	↑	↓	[	>	∴	←	]	,	*	+	<	∵	-	.
5	∵	.	←	+	∴	-	↓	*	→	>	[	,	↑	<	]
6	]	>	←	[	→	↓	↑	*	∵	.	+	∴	-	,	<
7	,	↑	>	*	∴	→	<	[	↓	]	.	-	+	∵	←
8	←	→	-	↑	+	>	∴	∵	*	.	↓	<	]	[	,
Value	1	2	3	4	5	6	7	8	9	1	2	3	4	5	6

`<`	Moves left 1 in the array, looping around.
`>`	Moves right 1 in the array, looping around.
`+`	Adds 1 at the current position.
`-`	Subtracts 1 at the current position.
`[`	Start of a loop. Runs the loop code twice.
`]`	End of a loop.
`,`	Retrieves the value at the current position and puts it in memory.
`.`	Sets current position to the stored value (doesn’t if there is none).
`←`	Applies `<` if going there lands the pointer at a smaller number.
`→`	Applies `>` if going there lands the pointer at a larger number.
`↑`	Applies `+` if the item 4 steps left/right from the pointer shares odd-even parity with this one.
`↓`	Applies `-` if the item 4 steps left/right from the pointer does not share odd-even parity with this one.
`*`	Stores the position in memory. Swaps the values at the stored position and the current position when it appears a second time, then resets the stored position.
`∴`	Encrypts the current value using C.
`∵`	Decrypts the current value using C.
Note:	If adding or subtracting 1 takes the current position outside of the Ø-35 range, add or subtract 36 to get back within this range.

For each character on the display, concatenate the set numbers corresponding to the top and bottom halves and concatenate that with the sum of the 4 set numbers of the glyph on the corresponding bean (2 set numbers for each orientation). Modulo this by (B_n + 1) where n corresponds to the index of the character. Call the obtained value S_n. Now calculate the total values T:

T_n = S_n * C + B_n

Assign all the beans a number from 1 through 8, going from lowest to highest T value, sorting ties in reading order. For any amount of already pressed beans P, press the bean that was assigned the number (P + 3). Use n as its index, t as the total bomb time in seconds and DR() as digital root. If P is not 4, press this bean when the following condition is true:

DR(t % (S_n + D)) = DR(7 * BC₁ + BC₂ * BC₃)

If this press turned P into the first digit of D, note R = Ø if the pressed bean turns counterclockwise or R = 1 if it turns clockwise.

If P is 4, instead press this bean when the following condition is true:

t % 2 = R

If you have defused the module using this manual, congratulations! You don’t fully deserve it, but we’re going to be generous. You can now safely eat all of the remaining beans.

Appendix BnFkS: BeanF--- Shortcuts

In this table, 'variable groups' refers to S, E, and X. These groups can contain any number of commands, including none. S needs to begin at the start of the command set, and E needs to finish at the end of the command set. The conditions that cover an entire set of sub-conditions span across all columns, and apply, in addition to the sub-conditions (if any), until the next.

from	to	condition
`+-`
`-+`
`<>`
`><`
`∴∵`
`∵∴`
`E`		`E` only contains '`<>←→`'
no '`,.`' in variable groups
`S.`	`S`
`X.`	`.`	`X` contains no movement
`,E`	`E`
`.X.`	`X.`	`X` ends at the same place as it starts
`,X,`	`X,`
`X.`	`X`	`X` ends at the same place as it starts and does not change the current position’s value
no '`[]`' in variable groups
`[X]`	`XX`
`S]`	`S`
`[E`	`E`
`X` ends at the same place as it starts or 4 away from it; if in `X` the parity between the starting position and the position 4 away from it always changes use true; if it never changes use false
`↑-`	`↓`
`↓+`	`↑`
`↑X↑`	`↑X`	false
`↑X↑`	`↑X+`	true
`↓X↓`	`↓X`	false
`↓X↓`	`↓X-`	true
`↑X↓`	`↑X`	true
`↑X↓`	`↑X-`	false
`↓X↑`	`↓X`	true
`↓X↑`	`↓X+`	false
`S` has an even amount of '`*`'
`SX`	`SX`	`X` ends at the same place as it starts
`S*E`	`SE`	`E` has no '`*`'