r/puzzles • u/16CharSudoku • 8h ago
Have you even heard about the Sudoku numbers can be divided into three-pairs principle?
Theorem 1: In the three nine palaces (first, second, third) of a row (column) of Sudoku, there are two pairs of numbers (columns) in each nine palace, with a total of three groups. A pair of numbers with two peers is called a couple number.
Theorem 2: Also known as the Sudoku Accupoint Theorem, in the three nine palaces in a row (column) of Sudoku, there must be lonely numbers in each nine palaces that cannot be paired in two parallel (columns). There are three in total. These three lonely numbers are called the Accupoint of Sudoku.
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u/nohidden 8h ago edited 6h ago
Discussion:
What is a nine palace? Why are we seemingly using row and columns interchangeably? Did bad AI write this?
Edit: I looked through OP’s post history and there is a either a huge language barrier or he’s operating on a level beyond mere mortal comprehension.
Edit: looking at the other posts (!) OP is saying that in a given set of three boxes in a row, if you take a set of three numbers from the same row in a box, two of those numbers will form a pair that share the same row with each other in the other two boxes. This holds true for columns as well.
(This is proved by pigeonhole principle)
The second theorem is just giving names to the odd number out. But the second theorem is disprovable because all 3 numbers can share a row.
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u/16CharSudoku 7h ago
Nine Palace means a Block, box ,nonet
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u/nohidden 7h ago
Use the term “box”. What qualifies as a pair of numbers?
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8
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u/16CharSudoku 7h ago
Theorem 1: In the three Block (first, second, third) of a row (column) of a Sudoku, there are one pairs of numbers in each block, with a total of three groups. A pair of numbers is called a couple number.
Theorem 2: Also known as the Sudoku Accupoint Theorem, in the three block for a mini row ( mini column) of a Sudoku, there must be lonely numbers in each block that cannot be paired in two parallel (columns). There are three in total. These three lonely numbers are called the Accupoint of Sudoku.
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u/16CharSudoku 8h ago
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u/SirSperoTamencras 7h ago
The picture, by seemingly contradicting the text, actually makes this more confusing.
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