On the Subject of Rewording Not Symbolic Coordinates

These symbols are probably a reference, so if it still does not make sense to you, that is still your fault.

  • The module will display three symbols and six LEDs, three of which are coloured.
  • The colours of the three LEDs above the submit button correspond to pairs of truth values, where F is false and T is true. To find which colour corresponds to which pair, start with the table below:
    1. Shift each colour one space to the right for each battery on the bomb, wrapping around to the other side if necessary. (1 bat. GYAP→PGYA)
    2. Then, if a TRN indicator is present, reverse the order of the shifted colours. (GYAP→PAYG)
FFFTTFTT
GreenYellowAquaPurple
  • Each symbol represents the numeric value corresponding to its position in the display and the truth values corresponding to the other two, in order. (E.G. The 1st displayed symbol represents 1st numeric value, and 2nd and 3rd truth values in the table.)
  • Of the three vertical LEDs on the right side of the module:
    • If the top LED is lit, negate the first truth value of all three pairs.
    • If the middle LED is lit, negate the second truth value of all three pairs.
  • The pairs of truth values indicated by the colours of the LEDs are the desired outputs of two sets of logical operators whose inputs are the pairs of truth values received from the symbols.
    Within each set of operators:
    • Using the first and second displayed symbols, take the first truth values and apply left set Operator 1. Then take the second truth values of the same symbols and apply left set Operator 2. The result of Operators 1 and 2 from the left set outputs the respective truth values of the colour of the left LED.
    • Using the second and third displayed symbols, take the first truth values and apply right set Operator 2. Then take the second truth values of the same symbols and apply right set Operator 3. The result of Operators 2 and 3 from the right set outputs the respective truth values of the colour of the right LED.
    • Using Operator 3 of the left set and operator 1 of the right set, examine the first and second truth values from the first and third displayed symbols, and go over these conditions:
      • If a CLR indicator is present, operator 3 is applied to the first truth values of the first and third symbols and operator 1 is applied to the second truth values.
        Otherwise, operator 3 is applied to the second truth values of the first and third symbols and operator 1 is applied to the first truth values.
      • If the bottom LED is lit, operator 3 outputs the first truth value in the pair and operator 1 outputs the second.
        Otherwise, operator 1 outputs the first truth value in the pair and operator 3 outputs the second.
      This pair of truth values outputs the colour of the middle LED.
  • Scroll through the two displays to find and submit the pair of operator sets that output the three colours. There will only be 1 of each set on the left and right that matches.

Symbol Values

The 3 numeric values, the sum of the pairs of numeric values, and the sum of the 3 numeric values must be kept within 0 - 99 inclusive by taking those numbers outside of the range, modulo 100. For determining truth values, when “value” is used, it references the numeric values of the symbols displayed.

Symbols #1 - 5 from Top, #20 - 16 from Bottom
SymbolNumeric ValuesTruth Values
  1. The position of the middle symbol in this manual, from the top. (1 being this symbol)
  2. Twice the hour, in 24h time, of the time of activation.
  3. Six times the number of port plates.
  1. The sum of the three values is even.
  2. The first value is greater than the third.
  3. Any two values are equal.
  1. The alphabetic position of the earliest occurring serial number letter in the alphabet. (A1Z26, E.G. If serial no. is B48RV1, use B’s alphabetic position.)
  2. Five times the number of indicator letters that are vowels.
  3. Six times the number of primes less than the sum of the digits in the serial number.
  1. The sum of the three values is a multiple of 7 or 13.
  2. 8 and 9 DO NOT occur as digits in the sum of pairs of values.
  3. All three values have the same parity.
  1. The largest digit in the serial number minus the smallest.
  2. The number of lit indicators times the number of unlit indicators.
  3. Four times the day of the week at the time of activation. (Sunday = 0, Monday = 1, ..., Saturday = 6)
  1. The sum of any pair of values is prime.
  2. The sum of the three values, modulo 3, is 1.
  3. Exactly one of the values is even.
  1. The number of indicators.
  2. The sum of the digits of the number of modules.
  3. Five times the number of port types.
  1. No more than one value is less than 20.
  2. Both 1 and 2 occur as digits in the sum of pairs of values.
  3. The sum of the three values is prime.
  1. The number of batteries.
  2. The number of indicator letters that occur after M alphabetically.
  3. The number of ports plus the last digit of the serial number.
  1. At least 1 sum of a pair of values is 10 or less.
  2. At least 1 value is 0 or 1.
  3. Both digits of the sum of the three values are odd if it was a 2 digit number.
Symbols #6 - 10 from Top, #15 - 11 from Bottom
SymbolNumeric ValuesTruth Values
  1. Seven times the number of lit indicators.
  2. The number of port plates plus the smallest digit in the serial number.
  3. Six times the number of D batteries.
  1. The sum of the three values, modulo 5, is 2 or 4.
  2. The three values, modulo 3, are all different.
  3. The sum of the three values is at least 50.
  1. The day of the month at the time of activation.
  2. The alphabetic position of the first letter of the module that is furthest in the alphabet. (A1Z26)
  3. The alphabetic position of the second letter in the serial number. (A1Z26)
  1. The digits of the sum of the three values do not add up to 9, 10, 11, 12 or 13.
  2. Any sum of a pair of values is a multiple of 9.
  3. The sum of the second and third values is less than twice the first.
  1. The smallest digit in the serial number plus 10.
  2. Twice the alphabetic position of the earliest occurring letter in the serial number. (A1Z26, E.G. If serial no. is B48RV1, use B’s alphabetic position.)
  3. The number of distinct indicator letters.
  1. The second value is greater than the first.
  2. The digits of the sum of the three values are within 2 of each other.
  3. Any sum of a pair of values is prime.
  1. The number of ports.
  2. The number of letters in all indicators that occur before N alphabetically.
  3. The number of unlit indicators plus the number of battery holders.
  1. The sum of the three values, modulo 7, is 1, 3, or 6.
  2. The largest of the three values, minus the smallest, is less than 10.
  3. All three values are greater than 1 and not prime.
  1. 9 times the number of unlit indicators.
  2. The average alphabetic position of each letter in the serial number, rounded down. (A1Z26, E.G. If serial no. is B48RV1, add up 2, 18, and 22 and divide the sum by 3.)
  3. Fifteen. (15)
  1. At least two values have odd digital roots.
  2. No value is a multiple of 3.
  3. 3 or 6 occur as a digit in the sum of the three values.
Symbols #11 - 15 from Top, #10 - 6 from Bottom
SymbolNumeric ValuesTruth Values
  1. Seven times the number of consonants in the serial number.
  2. The sum of the positions of the other two symbols in this manual, from the top. (11 being this symbol)
  3. The sum of the primes that are less than or equal to the largest digit in the serial number.
  1. The sum of the three values has an odd digital root.
  2. Any value is 30 or more.
  3. The sum of the three values is divisible by at least one of the values.
  1. Three times the number of battery holders.
  2. One fifth of the number of modules on the bomb, rounded down.
  3. The hour of the day, in 24h time, plus the month of the year, of the time of activation.
  1. The sum of the three values, modulo 4 is 1.
  2. No sum of a pair of values is a multiple of 4.
  3. The three values, modulo 7, are all different.
  1. The sum of the digits in the serial number.
  2. The alphabetic position of the first letter in the serial number. (A1Z26)
  3. The alphabetic position of the earliest occurring indicator consonant in the alphabet. (0 if no indicators, A1Z26)
  1. Exactly one of the values is odd.
  2. The sum of the first and third values is less than twice the second.
  3. The digits of the sum of the three values have different parities if it was a 2 digit number.
  1. The alphabetic position of the latest occurring letter in the serial number in the alphabet. (A1Z26, E.G. If serial no. is B48RV1, use V’s alphabetic position.)
  2. The sum of the digits of the product of the nonzero digits in the serial number.
  3. The number of lit indicators plus the number of the number of port plates.
  1. The third value is greater than the second.
  2. The sum of the three values is odd.
  3. 1 is NOT present as a digit of the sum of pairs of values.
  1. The number of modules, modulo 25.
  2. The alphabetic position of a letter in an indicator that occurs furthest in the alphabet. (0 if no letters, A1Z26)
  3. Five times the number of pairs of AA batteries.
  1. Exactly 4 primes are within the range of the three values.
  2. The digits of the sum of the three values does not add up to 7, 8, 9, 10, or 11.
  3. There are more even values than odd values.
Symbols #16 - 20 from Top, #5 - 1 from Bottom
SymbolNumeric ValuesTruth Values
  1. Nine times the number of vowels in the serial number.
  2. Three times the month of the year at the time of activation.
  3. Twenty one. (21)
  1. No digit in the three values occurs more than once.
  2. The sum of the digits of the sum of any pair of values is a multiple of 5.
  3. The sum of the three values is a multiple of 6.
  1. The number of batteries plus the number of indicators with no vowels.
  2. Three times the number of ports.
  3. The last digit of the serial number.
  1. No value is greater than 20.
  2. The sum of the three values is greater than 1 and not prime.
  3. The first digit of the sum of the three values is odd.
  1. The number of unlit indicators plus the number of port plates.
  2. The average of the serial number digits, rounded down.
  3. The number of indicator consonants.
  1. At most one prime is within the range of the sums of each pair of values.
  2. Exactly one of the values is divisible by 3.
  3. The digits of the sum of the three values have the same parity.
  1. The largest digit in the serial number.
  2. The alphabetic position of the latest lit indicator letter in the alphabet. (0 if no lit indicators, A1Z26 for that letter)
  3. The number of port plates plus the number of battery holders.
  1. The sum of the first and second values is greater than twice the third.
  2. The largest of the three values minus the smallest is 25 or more.
  3. 2 or 9 is present as a digit of the sum of the three values.
  1. The number of lit indicators plus the number of battery holders.
  2. The first digit of the serial number.
  3. The position of the middle symbol in this manual, from the bottom. (1 being this symbol)
  1. The largest of the three values minus the smallest is 5 or less.
  2. The absolute difference between the digits of the sum of the three values is 5 or more.
  3. Any digit in the three values occurs three or more times.

Operator Sets

The operators A and B output the truth values of the respective first and second inputs, ignoring the other input entirely.

SetOp. 1Op. 2Op. 3
0XNORNIMPOR
1XORIMPNA
2IMPBYNANDB
3NBXNOROR
4NANDNBIMPBY
5XORNIMPA
6BXORNOR
7NAANDXNOR
8NANDXNORNIMPBY
9NIMPBYIMPB
SetOp. 1Op. 2Op. 3
AAXORAND
BANDNAIMPBY
CNIMPBYBOR
DXNORNANDNIMP
EIMPAAND
FXORNORNIMP
GNBANDXOR
HANBNOR
INORIMPBYIMP
JORANDNAND

Appendix: Logic Operator Table

The operators A and B output the truth values of the respective first and second inputs, ignoring the other input entirely.

OperatorOutput From Following Pair of Inputs
FFFTTFTT
AFFTT
NATTFF
BFTFT
NBTFTF
ORFTTT
ANDFFFT
XORFTTF
NORTFFF
NANDTTTF
XNORTFFT
IMPTTFT
NIMPFFTF
IMPBYTFTT
NIMPBYFTFF

Appendix: Other Notes

Any number is NOT divisible by 0, including 0.

Prime numbers before 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

1 is not considered to be prime.

Vowels mentioned in the manual refer to the letters “AEIOU,” while consonants do not refer to those letters.

The digital root of a number is obtained by taking the sum of the digits of the original, repeating this process until you have 1 digit remaining. That digit is the digital root of the original number.

A modulo B, or A mod B, is obtained by finding the remainder when dividing A by B, or by repeatedly subtracting B from A until A is less than B.