Question 1: "What does Sudoku mean?" Sudoku is a mathematical game invented in Switzerland in the 18th century and spread to the United States. It is a logic game that uses paper and pen to perform calculations. Players need to deduce the numbers in all remaining spaces based on the known numbers on the 9×9 board, and ensure that the numbers in each row, column, and thick-lined palace contain 1-9 without repetition.

The Sudoku board is composed of nine palaces, and each palace is divided into nine small grids. Give certain known numbers and solution conditions in these eighty-one squares, and use logic and reasoning to fill in the numbers 1-9 in the other blanks. Each number from 1 to 9 appears only once in each row, column and palace, so it is also called the "nine-square grid".

Question 2: What does Sudoku mean? Sudoku (すうどく, Sūdoku) is a logic game that uses paper and pen to perform calculations. It is necessary to deduce the numbers of all the remaining spaces based on the known numbers on the 9×9 board, and satisfy the requirement that the numbers in each row, each column, and each thick-lined palace contain 1-9 without repetition. Every qualified Sudoku puzzle has one and only one answer, and the reasoning method is also based on this. Any question with no solution or multiple solutions is unqualified.

This is a game that develops intelligence. It is very interesting. There are nine numbers 123456789. Each row must have these numbers, and each column must also have these nine numbers. The question gives a part of the numbers. , let you fill in the remaining parts (Japanese: Sudoku すうどく) is a mathematical intelligence puzzle game that originated in Switzerland at the end of the 18th century, was later developed in the United States, and was carried forward in Japan. The puzzle is a square shape with nine grids (ie, 3 grids wide × 3 grids high), and each grid is subdivided into a nine-square grid. In each small nine-square grid, fill in the numbers from 1 to 9 respectively, so that the numbers in each column and row of the entire large nine-square grid do not repeat. The gameplay logic of Sudoku is simple, and the arrangement of numbers is ever-changing. Many educators believe that Sudoku is a good way to exercise the brain

Question 3: How to play Sudoku and what does it mean? I suggest you search "Sudoku" on Baidu and read more about the game Sudoku. The rules are easier to understand.

To put it simply, fill the grid with 1-9. Each 3*3 grid, each horizontal row, and each vertical row cannot be repeated.

The highlighted numbers are to help you determine which horizontal row (or vertical row) has repeated numbers.

The note mode is for the convenience of judgment. Judging from the current disk surface, the numbers that can be filled in each grid are not unique. You can put all the numbers in the note mode before deciding which number to fill in. The possibilities are marked, so every time you fill in a number, the same number in the note mode in horizontal, vertical, and nine palaces will be deleted to facilitate you to filter wrong answers.

Question 4: What does Sudoku mean? Sudoku (すうどく, Sūdoku) is a logic game that uses paper and pen to perform calculations. Players need to deduce the numbers in all remaining spaces based on the known numbers on the 9×9 board, and ensure that the numbers in each row, column, and thick-lined palace contain 1-9 without repetition.

The Sudoku board is composed of nine palaces, and each palace is divided into nine small grids. Give certain known numbers and solution conditions in these eighty-one squares, and use logic and reasoning to fill in the numbers 1-9 in the other blanks. Each number from 1 to 9 appears only once in each row, column and palace, so it is also called the "nine-square grid".

Question 5: What does multi-fill in Sudoku mean? First of all, you need to understand what Sudoku itself is. It is a game. The specific rules are to ensure that the numbers 1-9 in the same column and in the same grid are not the same. Repeat, and then have different difficulties, from simple to complex. The more difficult the numbers are, the less and less the numbers will be given, which will greatly test your logical reasoning ability. If there are only 2-3 numbers in a grid, you may encounter something complex and difficult. First of all, you need to be patient. Simple numbers will give you more, and complex numbers will give you less. That's it.

Question 6: The solution to Sudoku is 2415924197524573953218283. What does it mean? The only solution is that when the number of filled-in grids in a row reaches 8, then the only number that can be filled in the remaining grids in the row is the one that has not yet been filled in. Numbers that have appeared. Become the only solution for the row. When the numbered cells in a column reach 8, the only number that can be filled in the remaining cells in the column is the number that has not appeared before. Become the only solution for the column. When the number of filled-in squares in a certain nine-square grid reaches 8, then the only number that can be filled in the remaining squares of the nine-square grid is the number that has not appeared before. It becomes the only solution to the nine-square grid. The only solution is that 8 numbers that can be added to a certain grid have been excluded, so the number in this grid can only be added to the number that does not appear. Block elimination method Block elimination The method is an improvement method of the basic elimination method, and is one of the most frequently used methods in the intuitive method. Remainder test method The so-called remainder test method is that when there are more numbers filled in the nine-square grid in a certain row or column, and there are 2 or 3 left, A problem-solving method for testing by adding values ??to the remaining squares. Implicit unique candidate number method. When a number appears only once among the candidates in each square of a column, then this number is the only candidate number in this column. ． The value of this grid can be determined as this number. This is because, according to the rules of the Sudoku game, each column should contain the numbers 1 to 9, and the candidate numbers in other grids do not contain this number, so the number cannot appear in other grids, so it can only Appeared in this palace grid. For the case where the only candidate number appears in a row or a nine-square grid, the processing method is exactly the same. The three-chain number deletion method finds situations where no more than 3 different numbers among the candidate numbers in a certain column, a certain row, or a certain three squares in a nine-square grid, and then these three numbers are extracted from other squares. The method of deleting candidate numbers is called the three-chain number deletion method. Hidden three-linked number deletion method: In a certain row, there are three numbers appearing in the same grid, but other grids in this row do not contain these three numbers. We call this number pair an invisible three-chained number. Then all other numbers among the candidate numbers of these three palace grids can be eliminated. When the invisible three-chain number appears in the column or the nine-square grid, the processing method is exactly the same. In a certain row, there are three candidate numbers that appear in three grids respectively. The other grids in this row do not contain these three numbers. We call this number pair an invisible three-linked number. Then all other candidates for these three palaces can be eliminated. When the invisible three-link number appears in a column or a nine-square grid, the processing method is exactly the same or: use "find the situation where a certain three numbers only appear in a certain row, a certain column, or a certain three-square grid candidate number of a certain nine-square grid" , and then reduce the candidate numbers of these three squares to the three numbers." The method is called Hidden Triples deletion method (HiddenTriples). Rectangular vertex deletion method The rectangular vertex deletion method is the same as the rectangular elimination method mentioned in the intuitive method. The rectangular vertex deletion method is relatively difficult to find during recognition, so it is best to use other methods first. Three-chain column deletion method The three-chain column deletion method is an extension of the rectangular vertex deletion method. If you are not clear about the rectangular vertex deletion method, you can refer to the rectangular vertex deletion method to make it easier to understand this section. Use "Find the situation where a certain number only appears in the same three rows in a certain three columns, and then delete the number from the other grid candidates in these three rows"; or "Find the situation where a certain number appears in a certain three rows" The method of "only appearing in the same three columns, and then deleting the number from the other palace candidate numbers in these three columns" is called the three-chain column deletion method. When the key number deletion method enters the later stage of problem solving, it uses the unique candidate number method, the implicit unique candidate number method, the block deletion method, the number pair deletion method, the implicit number pair deletion method, and the three mentioned above. When the chain number deletion method, implicit three-chain number deletion method, rectangular vertex deletion method, and three-link column deletion method cannot make progress, you can consider using the key number deletion method. The key number deletion method is to find a number in the later stage that only appears twice in the row (or column, nine-square grid). We assume that this number is in one of the grid classes and continue to solve. If an error occurs, we determine that our assumption is wrong. If you still have difficulty in solving the problem, you might as well assume that the number is in another grid and see if you can get the error. This is the key number deletion method. Elimination method. When 7 numbers have been filled in a certain column, a certain row or a certain palace, the elimination method can be used to eliminate numbers that cannot appear in this grid, thereby determining what should be filled in the grid. number.

For example, a row has been filled with 1, 3, 4, 5, 7, 8, 9, and there are still 2 and 6 left, and the column where one of the spaces is located already has 2. It can be seen that this space cannot be 2, then the other one The space must be 2, then this space must be 6. When a certain column, a certain row or a certain... >>

Question 7: How do you see the meaning of this Sudoku? If it is a general rule of Sudoku, then it means that each row, column, palace , all contain 1 to 9 once each.

If it refers to other hidden meanings, then generally only the question maker himself knows.

Question 8: What is Sudoku? Sudoku is a logic game that uses paper and pen to perform calculations. Players need to deduce the numbers in all remaining spaces based on the known numbers on the 9×9 board, and ensure that the numbers in each row, column, and thick-lined palace contain 1-9 without repetition. Every qualified Sudoku puzzle has one and only one answer, and the reasoning method is also based on this. Any question with no solution or multiple solutions is unqualified.

Since "Sudoku" has a word for "number", and people often think of mathematics, we might as well start with the well-known mathematician Euler. Anyone who wants to understand the history of Sudoku When players search on the Internet and books, ***comrades will mention Euler's "Latin square".

The rules of the Latin square: each row (Row), each column (Column) all contain 1-N (N is the specification of the disk) and are not repeated. This is very similar to the standard Sudoku mentioned earlier, but minus the one house rule.

There are two essences of problem solving: Hidden Single and Naked Single. Their names are named based on the candidate number method.

1. Grid

A rectangle with nine horizontal rows in the horizontal direction and nine vertical columns in the vertical direction. It is divided into eighty-one small rectangles, which is called Grid. , as shown in Figure 1, is the scope of Sudoku.

2. Unit division

2.1 Each horizontal row in the horizontal direction has nine grids, and each horizontal row is called a row.

2.2 Each column in the vertical direction has nine cells, and each column is called a column.

There are two problem-solving methods developed based on the nature of problem-solving:

Elimination method

1. Elimination method: Use numbers to find the only possible answer in the unit. Filling in the blanks is called the elimination method, and the number that can fill in the only blanks is called the elimination solution (implicit unique solution).

According to different scopes of action, hidden solutions can be divided into the following three types:

1.1 Numbers can fill in the unique blanks in the "Palace" unit, which is called hidden solution (Hidden) Single in Box), this solution is called palace elimination method.

1.2 The number that can fill in the only blank space in the "row" unit is called Hidden Single in Row. This solution is called Hidden Single in Row method.

1.3 Numbers that can fill in unique spaces in the "column" unit are called Hidden Single in Column. This solution is called the column elimination method.

1.4 Hidden Single in Line solution and Hidden Single in Line solution are collectively called Hidden Single in Line solution.

1.5 The method of obtaining the row-rank elimination solution is called the row-rank elimination method.

Remainder method

Peer equipotential group lattice 2. Remainder method: Use the lattice to find the only number that can be filled in, which is called the remainder method. The only number that can be filled in the lattice is called Naked Single.

The remainder method is a method of deleting the numbers that have appeared in the peer group. There are 20 peer groups in each cell, as shown in Figure 7.

Auxiliary solution methods

3. The above methods are called Basic Techniques, and all other solution methods are called Advanced Techniques, which make up for the shortcomings of the Basic Techniques. , so it is also called auxiliary solution.

Advanced solution methods include: Locked Candidates, Subset, X-Wing, Unique Rectangle, Bivalue Universal Grave), odd number chain (X-Chain), odd number chain (XY-Chain) and other advanced number chain techniques, etc. There are nearly a hundred methods that have been developed.

Among them, the first two plus basic solution methods are methods introduced and used in general Sudoku books, and they are also Sudoku problem-solving techniques that most people can understand and master.

4. There is only one solution to solve the number through the basic solution, the elimination method or the remainder method. When it exceeds this range and requires an advanced solution, the problem-solving point requires the advanced solution to assist the basic solution to satisfy Only implicit uniqueness or explicit uniqueness can be used to solve the problem. The solution to this problem point requires multiple steps to be completed together, so it is called a combination solution.

5. Problem solving must be based on logic. The guessing method is called "Brute Force" solution. This is not the original intention of advocating Sudoku. ...>>

Question 9: What is Sudoku? "Sudoku" (Japanese is すうどく, English is Sudoku) The word "Sudoku" comes from Japanese, meaning "individual numbers" ” or “a number that appears only once.” In a nutshell, it is a number-filling game. But this concept did not originally come from Japan, but from the Latin square, which was invented by the Swiss mathematician Euler in the 18th century. Euler, born in 1707, is regarded as one of the greatest mathematicians of all time. Euler has been a mathematical genius since he was a child. When he was in college, he studied ancient Hebrew in the seminary, but he won the grand prize in the science competition of the Paris Academy of Sciences 13 times in a row. In 1783, Euler invented a "Latin cube", which he called "a new type of Rubik's cube". This was the prototype of the Sudoku game. However, Euler's invention was not taken seriously at that time. It wasn't until the 1970s that American magazines reintroduced it under the name "Number Puzzle". In 1984, Nobuhiko Kanemoto, an employee of the Japanese puzzle magazine Nikoli, accidentally saw this game in an American magazine and thought it could be used to attract Japanese readers, so he improved it, increased the difficulty, and gave it a new name. After doing "Sudoku", the result became an instant hit and the publisher made a lot of money. So far, the publishing house has launched 21 books about Sudoku, some of which sold out quickly after being released. In addition, the publisher also authorized software vendors to develop hundreds of Sudoku game software. For people to buy online. Currently, there are five Sudoku monthly magazines in Japan, with a total circulation of 660,000 copies. Since Sudoku was trademarked in Japan, other competitors had to use its original name in the United States, "Number Puzzle." The Sudoku game is similar to the traditional crossword puzzle, but because it only uses numbers from 1 to 9 and can transcend text and cultural boundaries, it is known as the magic square in the era of globalization. After Sudoku came to the UK, many people were immediately hooked on it. Because the game is easy to learn and the primary game is not difficult, many people play Sudoku with their heads in newspapers during breaks at work and on the way to work. Some people even claim that playing more Sudoku games can delay brain aging. At present, a large number of books about Sudoku games have emerged in the UK, and websites dedicated to promoting such games have also appeared. People can download Sudoku software from the Internet to their computers, or download the software to their mobile phones to play. The rules are simple and easy to master. The rules of Sudoku are very simple. There are already a number of numbers in the 9x9 grid, and other palaces are left blank. Players need to logically figure out what numbers are in the remaining blanks, so that each row and column There are numbers from 1 to 9, and each small Jiugong grid also has numbers from 1 to 9, and a number can only appear once in each row and each small Jiugong grid. Playing this game does not require language skills or cultural knowledge like crossword puzzles, or even complex mathematical abilities.

Because it does not require addition, subtraction, multiplication and division operations at all. Of course, you must not underestimate it, it is not so easy to be "subdued". When you hold a pen and meditate, these nine numbers are likely to give you a headache, a rapid pulse, and irritation. However, you will definitely feel ecstatic when you successfully fill in all the numbers. Some Sudoku fans claim that a university professor would probably lose to a factory worker in this type of game. It looks very much like the nine-square grid in ancient China. . . .

Question 10: What are the rules of Sudoku? There is only one rule for Sudoku: fill in the numbers from 1 to 9 in the grid in the picture to make each row, column, and 3×3 palace (we put the rows, Columns and palaces are collectively called: Rules) The numbers within are not repeated, the numbers can be in any order, and there is no restriction on whether the numbers on the diagonal lines are repeated