﻿ The Number Cipher (Optimized/Cheatsheet) — Keep Talking and Nobody Explodes Module

## On the Subject of The Number Cipher

Nobody is quite sure why this thing resets every few seconds. It’s probably for health and safety reasons.

This manual assumes you know where the numbered cubes are and what colored lights are active. Please contact VFlyer#6320 over on the KTANE Discord for any issues with this manual.

R G B Digits Needed Instructions Function
A, B, C Take the digital root of the 3-digit number, or the sum of the 3 digits. DigitalRoot(A+B+C)
X A, C Take the sum of digits A and C. Use the last digit of the sum to submit. (A+C) % 10
X B, C Subtract B with C, add 10 if the result is less than 0. (B-C+10)%10
X X B, C Take the product of digits B and C. Use the last digit of the product to submit. (B*C) % 10
X A, B, C Multiply digits A and B, add C, and then take the digital root of the sum.* DigitalRoot(A×B+C)
X X A, C Take the product of digits A and C. Use last digit of the product to submit. (A×C) % 10
X X A, B, C Multiply the digits B and C, add A, and then take the digital root of the sum.* DigitalRoot(B×C+A)
X X X A, B, C Take the digital root of the product of the 3 digits. DigitalRoot(A×B×C)

Green/X represents LIT. A, B, C refers to the first, second, and third digits respectively. % refers to modulo.

*You can take the digital root of the product of the two digits early before adding the remaining digit and taking the digital root of that sum.

## Appendix - Digital Root + Modulo Reference Sheet

For those who have a hard time trying to do some complicated math.

The digital root of all whole numbers greater than 0 and a multiple of 9 will always be 9. The digital root of the sum of X and a whole number multiple of 9 will always be X, assuming X is between 1 to 9, inclusive.
Modulo refers to taking the remainder of the quotient after integer division. For example, 595%9 = 1 because 595/9 gives 66 remainder 1, 1 being the remainder after dividing.
Alternatively you can keep subtracting the divisor until you have a valve less than the divisor. For example, you can continue subtracting 24 from 102 until you get the remainder 6.
Orange denotes special properties from the tables provided.

Addition → Digital Root Table Multiplication → Digital Root Table
+ 1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9 1
2 3 4 5 6 7 8 9 1 2
3 4 5 6 7 8 9 1 2 3
4 5 6 7 8 9 1 2 3 4
5 6 7 8 9 1 2 3 4 5
6 7 8 9 1 2 3 4 5 6
7 8 9 1 2 3 4 5 6 7
8 9 1 2 3 4 5 6 7 8
9 1 2 3 4 5 6 7 8 9
× 1 2 3 4 5 6 7 8 9
1 1 2 3 4 5 6 7 8 9
2 2 4 6 8 1 3 5 7 9
3 3 6 9 3 6 9 3 6 9
4 4 8 3 7 2 6 1 5 9
5 5 1 6 2 7 3 8 4 9
6 6 3 9 6 3 9 6 3 9
7 7 5 3 8 1 8 4 2 9
8 8 7 6 5 4 3 2 1 9
9 9 9 9 9 9 9 9 9 9
The text passage provides instructions for solving a module in the game "Keep Talking and Nobody Explodes." It includes a table with conditions and corresponding mathematical operations to perform based on the active lights and the digits provided.
multiple_questions

the passage contains multiple implicit mathematical questions in the form of instructions for different conditions. however, no specific answers to these questions are provided within the text. the questions are embedded in the instructions, such as "take the digital root of the 3-digit number" or "take the product of digits b and c."
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
﻿ The Number Cipher (Optimized/Cheatsheet) — Keep Talking and Nobody Explodes Module

## On the Subject of The Number Cipher

Nobody is quite sure why this thing resets every few seconds. It’s probably for health and safety reasons.

This manual assumes you know where the numbered cubes are and what colored lights are active. Please contact VFlyer#6320 over on the KTANE Discord for any issues with this manual.

R G B Digits Needed Instructions Function
A, B, C Take the digital root of the 3-digit number, or the sum of the 3 digits. DigitalRoot(A+B+C)
X A, C Take the sum of digits A and C. Use the last digit of the sum to submit. (A+C) % 10
X B, C Subtract B with C, add 10 if the result is less than 0. (B-C+10)%10
X X B, C Take the product of digits B and C. Use the last digit of the product to submit. (B*C) % 10
X A, B, C Multiply digits A and B, add C, and then take the digital root of the sum.* DigitalRoot(A×B+C)
X X A, C Take the product of digits A and C. Use last digit of the product to submit. (A×C) % 10
X X A, B, C Multiply the digits B and C, add A, and then take the digital root of the sum.* DigitalRoot(B×C+A)
X X X A, B, C Take the digital root of the product of the 3 digits. DigitalRoot(A×B×C)

Green/X represents LIT. A, B, C refers to the first, second, and third digits respectively. % refers to modulo.

*You can take the digital root of the product of the two digits early before adding the remaining digit and taking the digital root of that sum.

## Appendix - Digital Root + Modulo Reference Sheet

For those who have a hard time trying to do some complicated math.

The digital root of all whole numbers greater than 0 and a multiple of 9 will always be 9. The digital root of the sum of X and a whole number multiple of 9 will always be X, assuming X is between 1 to 9, inclusive.
Modulo refers to taking the remainder of the quotient after integer division. For example, 595%9 = 1 because 595/9 gives 66 remainder 1, 1 being the remainder after dividing.
Alternatively you can keep subtracting the divisor until you have a valve less than the divisor. For example, you can continue subtracting 24 from 102 until you get the remainder 6.
Orange denotes special properties from the tables provided.

Addition → Digital Root Table Multiplication → Digital Root Table
+ 1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9 1
2 3 4 5 6 7 8 9 1 2
3 4 5 6 7 8 9 1 2 3
4 5 6 7 8 9 1 2 3 4
5 6 7 8 9 1 2 3 4 5
6 7 8 9 1 2 3 4 5 6
7 8 9 1 2 3 4 5 6 7
8 9 1 2 3 4 5 6 7 8
9 1 2 3 4 5 6 7 8 9
× 1 2 3 4 5 6 7 8 9
1 1 2 3 4 5 6 7 8 9
2 2 4 6 8 1 3 5 7 9
3 3 6 9 3 6 9 3 6 9
4 4 8 3 7 2 6 1 5 9
5 5 1 6 2 7 3 8 4 9
6 6 3 9 6 3 9 6 3 9
7 7 5 3 8 1 8 4 2 9
8 8 7 6 5 4 3 2 1 9
9 9 9 9 9 9 9 9 9 9
user
The text passage provides instructions for solving a module in the game "Keep Talking and Nobody Explodes." It includes a table with conditions and corresponding mathematical operations to perform based on the active lights and the digits provided.

TYPE: MULTIPLE_QUESTIONS

The passage contains multiple implicit mathematical questions in the form of instructions for different conditions. However, no specific answers to these questions are provided within the text. The questions are embedded in the instructions, such as "Take the digital root of the 3-digit number" or "Take the product of digits B and C."