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==Explanation==
 
==Explanation==
{{w|Sudoku|Su Doku}} (Japanese for "single number," and now usually written as "sudoku") is a type of number puzzle, in which the player must place digits in a matrix field in the correct arrangement, such that they do not repeat within given domains. The most common arrangement is a 9×9 grid subdivided into nine 3×3 grids, into which the nine non-zero digits of the normal decimal counting system must be inserted, with no digit being allowed to appear twice in a horizontal or vertical row or in each individual 3×3 grid. The number and combination of pre-filled squares determines the difficulty of the puzzle.
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{{w|Su Doku}} (Japanese for "Single number", and now usually written as "Sudoku") is a type of number puzzle, in which the player must place digits in a matrix playfield in such a way that no digit appears twice in a horizontal and vertical row, and in a region of nine digits in the said matrix. The most common arrangement is a 9x9 grid subdivided into nine 3x3 grids, each of which must contain the digits 1-9. The number and combination of pre-filled squares determines the difficulty of the puzzle. The title text refers to the "Red Belt"-collection, which is a series of extremely difficult puzzles.
  
However, [[Randall Munroe|Randall]] presents a 2x2 {{w|binary}} sudoku puzzle which isn't subdivided. The joke is that the binary system has only two digits (0 and 1), and as a result binary sudoku puzzles would be trivially easy and thus pointless. The puzzle in the comic would be completed by filling 0 in the top-left and 1 in the bottom-left empty box. The only other possible grid would have the 0s and 1s swapped. This fulfills the criterion of having no repeated digits in any row, column or cell.
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In this comic, [[Randall Munroe|Randall]] presents us with a {{w|binary}} Sudoku puzzle. A normal Sudoku is "decimal" like our normal counting system (ten digits) counting from one to nine. Some Sudoku puzzles use the {{w|hexidecimal}} system with 16 digits (0-9 and A-F) and a 16x16 grid for more difficulty. The joke is that binary system has only two digits (0 and 1), and therefore binary Sudoku puzzles would be infinitely easy and thus pointless. There really are only two possible puzzles in a 4x4 grid. The puzzle in the comic would be completed by filling 0 in the top-left and 1 in the bottom-left empty box. The only other possible grid would have the 0s and 1s swapped. This fulfills the criteria of having no repeated digits in any row or column, although digits would repeat in the 4x4 grid. Presumably binary Sudoku has no sub-regions.  
  
The title text appears to reference a series of published sudoku puzzle books called "Martial Arts Sudoku". The difficulty of each book is denoted by a martial arts belt color, with each color representing a certain skill level. A red belt is a rather high level, second only to the black belt. When applied to binary sudokus, a sudoku with one number given would be the most difficult one (though still trivial) and thus be a black belt. This sudoku has two numbers given, hence the medium red belt level.
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The title text appears to reference a series of published Sudoku puzzle books called the "Martial Arts Sudoku" series. The difficulty of each book is denoted by a belt colour which itself references the fact that in many Martial Arts, participants are awarded coloured belts when they reach certain skill levels, with each colour representing a certain skill level. It appears Judo was the first to use this system. A black belt is the stereotypical "highest" belt, although this is not always in fact the case, depending on the Martial Arts discipline. In the Sudoku series, red belt was level 8 (of 9) just below black belt. Thus the red belt reference therefore implies that this puzzle was found in the second-highest level of binary Sudoku books.
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The puzzle is labeled as "medium" difficulty in the title text because it has two of the squares filled. In a 2x2 binary Sudoku puzzle, only one square is required to solve the puzzle. By labeling this puzzle as "medium" difficulty, it implies that a puzzle with three squares filled would be labeled "easy," and a puzzle with only one square filled would be labeled "hard," with the irony being that none of the puzzles could possibly be considered difficult.
  
 
==Transcript==
 
==Transcript==
:[A square divided into 2×2 squares, the top-right one has an 1 in it, the bottom-right one has a 0, the two left ones are empty.]
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:[A square divided into 2x2 squares, the top-right one has an 1 in it, the bottom-right one has a 0, the two left ones are empty.]
 
:Binary Su Doku
 
:Binary Su Doku
 
 
{{comic discussion}}
 
{{comic discussion}}
 
[[Category:Binary]]
 
[[Category:Logic]]
 
[[Category:Math]]
 

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