SUDOKU

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SUDOKU GAME Sudoku is originally called number place. It’s totally logic based. Combination of number based puzzle. The object of Sudoku is 9x9 grid digit so that each and every row and column there have 3x3 sub grid of digits. Puzzle setters provide a partially to complete the grid that is typically has a unique solution. Puzzles are always a type of latin square with additional constraint with individual regions. It was popularized in 1986 by a Japanese puzzle company name nikoli. The name of the game Sudoku’s meaning is single number. And it’s true that it have single number on it’s each and every row and column. In the history of this game is first of all the number of puzzles are appeared first in a newspaper on later 19 th century. Le siècle a daily publisher based on Paris first publish it on November 19 1892. When it’s publish it was not only a Sudoku because it contained double digit numbers with required arithmetic rather than logic to solve the puzzles. It was shared the key of the each characteristics for each row and the column up to the same number. In the year 1997 new zelander wayne gould discovered Sudoku on a trip to japan and tried to bring the puzzle game to the USA. This man spent years for writing computer program to generate puzzle for Sudoku game.

Transcript of SUDOKU

SUDOKU GAME

Sudoku is originally called number place. It’s totally logic based. Combination of number based puzzle. The object of Sudoku is 9x9 grid digit so that each and every row and column there have 3x3 sub grid of digits. Puzzle setters provide a partially to complete the grid that is typically has a unique solution. Puzzles are always a type of latin square with additional constraint with individual regions. It was popularized in 1986 bya Japanese puzzle company name nikoli. The name of the game Sudoku’s meaning is single number. And it’s true that it have single number on it’s each and every row and column.

In the history of this game is first of all the number of puzzlesare appeared first in a newspaper on later 19th century. Le siècle a daily publisher based on Paris first publish it on November 19 1892. When it’s publish it was not only a Sudoku because it contained double digit numbers with required arithmetic rather than logic to solve the puzzles. It was shared the key of the each characteristics for each row and the column up to the same number. In the year 1997 new zelander wayne gould discovered Sudoku on a trip to japan and tried to bring the puzzle game to the USA. This man spent years for writing computerprogram to generate puzzle for Sudoku game.

Basics of Sudoku

If you are a book store worker from last six month or siting on an airport waiting room of work in a college lecture class then you probably seen someone staring at a Sudoku. People might thinkSudoku is some new type of porn but no it’s just a puzzle game. It’s a widespread logical based game of puzzle that is simple enough to suck you in and so difficult enough to keep you hiked you to this game.

Sudoku or su doku is a game of numbers. There have the numbers 1 to 9 but it’s not really about math. It’s all about logic. The basic Sudoku is a 9/9 grid. You have found three section of row column and boxes on a Sudoku puzzle. In a Sudoku the goal of thepuzzles are fill each nine square row each nine square column andeach 9 square box with the number 1 to 9 while each number use once and only once in each section. Each if the interaction

tells you where the numbers need to go. So when you put 1 for I column it might be only one time for column 1. In a Sudoku table there will few of the number will filled and you have to figure out where the rest of the number will go without make any dabble entry. Below 2nd picture is the example of this.

In a Sudoku there have different level of difficulty from easy tovery hard it totally based on how many number you get to start with and where those numbers are positioned. In an easy puzzle will gives you enough numbers placed in enough strategic positions to allow you to find the answer using fairly simple logic there have only one answer for each puzzle.

From that Irish mathematician who used a complex algorithm and millions of hours so supercomputing time to solve that important open problem in the complex of Sudoku. On 1st January gary mcguire from university college Dublin shows that proof posted online with the minimum number of clues. In a Sudoku puzzle box there have 17 puzzle with 16 clue or fewer clues do not have unique solution. Though in most of the newspaper puzzles have around 25 clues. The difficulty of the puzzle decreasing as more clues are given. On 7 January mcguire’s emerging consensus among mathematicians at a conference in Boston Massachusetts. His proofis probably valid and become an important advance in the growth

field of Sudoku math’s. in Sudoku math the approach is reasonable and it’s possible. Jason rosenhouse says the attitude is on of cautious optimism. From medison university in Harrisonburg Virginia and the co author of a newly released book on the math of Sudoku. The object of Sudoku is 9x9 grid digit so that each and every row and column there have 3x3 sub grid of digits. Puzzle setters provide a partially to complete the grid that is typically has a unique solution.

Laura Taalman was said that, a consequence of the approach taken is that it will take some time for others to get enough computingtime to check the proof a mathematician also at James Madison University who co-authored the book Taking Sudoku Seriously. The Math Behind the World’s Most Common Delineate Sudoku Puzzle with Rosenhouse. Taalman was noted that the book which came out last week is already outdated and it says that the problem remains open and that whoever solves it will be a rock star.

The hitting-set idea that he developed for the proof has been used in papers on gene-sequencing analysis and cellular networks and he looks forward to seeing if his algorithm can be usefully adapted by other researchers. McGuire says that his approach may pay off in other ways. He says that, hopefully this will stimulate more interest. But he also says that, ironically as he

dedicated more of his time to the maths of the conundrum he spentless time enjoying the puzzle. He says I still find it a nice wayto relax now and then but to be honest I prefer doing the crossword.

How to Play an EASY Sudoku mood

In a Sudoku game fill the grid with numbers so that every row, every column and every 3 by 3 box contains the digits 1 to 9, without repeating. Type a number directly into a square or drag it in from the right. If you have narrowed down the possible numbers for a box enter multiple numbers in small type box. Hold the Alt key on a PC or the Control key on a Mac while typing the numbers. To remove the number, repeat the step.

Features:

TIMER: Track your time by clicking "Start."

UNDO: Click to remove the last number you entered, and the one before, and the one before

PENCIL: If you're not sure about an answer, you can mark it as tentative. Click "Pencil" to insert numbers in light blue, and click again to return to the standard color. Shift delete removesall light numbers shift insert makes them dark.

CHECK: To see how you're doing, click "Check." Boxes with incorrect answers will be highlighted in pink. To remove all wrong answers at once after checking, hit the delete key. Shows all numbers not yet used in the row, column, or box.

HINT: when the game running to find out where the next solvable square is without being told the answer, click "Hint."

REVEAL: To find the answer in the square indicated by the hint, click "Reveal."

How to Play Sudoku medium mood

Fill the grid with numbers so that every row, every column and every 3x3 box contains the digits 1 to 9, without repeating.

Type a number directly into a square or drag it in from the right.

If you have narrowed down the possible numbers for a box, enter multiple numbers in small type. Hold the Alt key on a PC or the Control key on a Mac while typing the numbers. To remove the number, repeat the step.

Features:

TIMER: Track your time by clicking "Start."

UNDO: Click to remove the last number you entered, and the one before, and the one before, ...

PENCIL: If you're not sure about an answer, you can mark it as tentative. Click "Pencil" to insert numbers in light blue, and click again to return to the standard color. Shift delete removesall light numbers, shift-insert makes them dark.

CHECK: To see how you're doing click "Check" Boxes with incorrectanswers will be highlighted in pink. To remove all wrong answers at once after checking hit the delete key.

HINT: To find out where the next solvable square is, without being told the answer, click "Hint."

REVEAL: To find the answer in the square indicated by the hint, click "Reveal."

How to Play difficult Sudoku mood

Fill the grid with numbers so that every row, every column and every 3-by-3 box contains the digits 1 to 9, without repeating. Type a number directly into a square or drag it in from the right. If you have narrowed down the possible numbers for a box, enter multiple numbers in small type. Hold the Alt key on a PC orthe Control key on a Mac while typing the numbers. To remove the number, repeat the step.

Features:

TIMER: Track your time by clicking "Start."

UNDO: Click to remove the last number you entered, and the one before, and the one before, ...

PENCIL: If you're not sure about an answer, you can mark it as tentative. Click "Pencil" to insert numbers in light blue, and click again to return to the standard color. Shift-delete removesall light numbers, shift-insert makes them dark.

CHECK: To see how you're doing, click "Check." Boxes with incorrect answers will be highlighted in pink. To remove all wrong answers at once after checking, hit the delete key.

HINT: To find out where the next solvable square is, without being told the answer, click "Hint."

REVEAL: To find the answer in the square indicated by the hint, click "Reveal."

The first Sudoku world championship was held this March in Lucca,Italy. Jana Tylova, a 31-year-old accountant from the Czech Republic, defeated 84 other puzzle solvers from 22 countries in the two-day competition. The event confirmed what fans of the brainteaser already knew: that Sudoku (or Su Doku) had become an international craze. Sudoku, also known as "Su Doku", popular form of number game. In its simplest and most common configuration, Sudoku consists of a 9 × 9 grid with numbers appearing in some of the squares. The object of the puzzle is to fill the remaining squares, using all the numbers 1 to 9 exactly once in each row, column, and the nine 3 × 3 subgrids. Sudoku is based entirely on logic, without any arithmetic involved, and thelevel of difficulty is determined by the quantity and positions of the original numbers. The puzzle, however, raised interesting combinatorial problems for mathematicians, two of whom proved in 2005 that there are 6,670,903,752,021,072,936,960 possible Sudokugrids.

Although Sudoku type patterns had been used earlier in agricultural design, their first appearance in puzzle form was in1979 in a New York-based puzzle magazine, which called them Number Place puzzles. They next appeared in 1984 in a magazine inJapan, where they acquired the name Sudoku (abbreviated from suuji wa dokushin ni kagiru, meaning “the numbers must remain single”). In spite of the puzzle’s popularity in Japan, the worldwide Sudoku explosion had to wait another 20 years.

In 1997 New Zealander Wayne Gould, a retired judge from Hong Kong, came across a book of Sudoku puzzles in Tokyo and decided to develop computer programs for generating them. Seven years later he sent some of his puzzles to The Times of London, which printed its first one on Nov. 15, 2004. Other British newspapers followed suit, and within a few months Sudoku had become a

worldwide phenomenon, with the puzzles appearing in newspapers from the United States to Finland, South Africa to Costa Rica, and Israel to Singapore. By 2006 hundreds of Sudoku books had been published, and addicts could be seen everywhere—in offices, on buses and trains, and on the beach—working with paper and pencil or puzzling over interactive Sudoku that had been adapted to mobile phones, video games, and the Internet. In May 2006 Timemagazine listed Gould as one of the world’s 100 most influential people. The first Sudoku world championship was held in March 2006 in Lucca, Italy. Jana Tylova, a 31-year-old accountant from the Czech Republic, defeated 84 other puzzle solvers from 22 countries in the two-day competition.

Meanwhile, a host of variations began to appear. Sudoku puzzles were created in which the diagonal entries had to be different,

specified cells had to be odd or even, or the 3 × 3 boxes were replaced by other 9-cell shapes. There were letter puzzles in which a 9-letter word miraculously appeared in a row or column and “killer” versions in which the numbers in specified groups ofcells had given sums. There were larger puzzles with 16 × 16 or 25 × 25 grids, puzzles made from interlinking Sudoku grids, and athree-dimensional version in the form of a 3 × 3 × 3 cube.

The numbers shown in the example are the "givens". These numbers can not be changed in any puzzle. You solve the puzzle by fillingin the empty cells with a single number (from all the possible candidates) that doesn't violate Sudoku rules. There is only one correct number per cell. Scan the "givens" looking for the same number in different rows, columns, or regions. Eliminate cells for consideration by applying the Sudoku rules using these numbers.

In cases where the solution isn't immediately obvious, you markupor pencil in a vacant cell the possible candidates for future reference. Consider using the blank Sudoku grid with candidates method to determine all the possible candidates. This can save you time in solving puzzles and prevent missing important candidates. It will also reveal answers that are not immediately obvious otherwise. After you have identified the possible

candidates it is time to apply some logic. It is necessary to eliminate all candidates to arrive at a single answer for each cell. I'll cover this topic in more detail in related articles. The Sudoku Puzzle Challenge

Complete the Sudoku puzzle so that each and every row, column, and region contains the numbers one through nine only once. The puzzle above i would rate as very easy. I hand crafted this puzzle. It can be solved using simple logic and eliminating a fewcandidates. It is interesting to note that it is not the quantityof givens that make a Sudoku puzzle easy or hard. Rather, it is the location and combination of givens.

How To Play Sudoku

Sudoku Puzzle Scan For Ones How To Play Sudoku Scan 1s In this example on how to play Sudoku, we begin playing Sudoku by scanning the puzzle. It doesn't matter where you start. I suggestlooking for the number that has several "givens". The more givensof a particular number often means that it will be easier to solve.

The scans are marked with red arrows in this example. The two parallel scans from the two ones in the middle tier prevent any ones in the top two rows of the left most region. The vertical scan eliminates the middle cell of the bottom row from consideration.

In this example, you can see that there is only one cell (marked with a black X) that can contain a 1 in the left most region in the middle tier. Enter a 1 in the cell marked with an X. Now thata cell is solved, you should look to see if it will help us solveanother cell or two. In this case there aren't enough clues to solve for ones at this time. Likewise there aren't enough clues using this method for twos or threes at this time. Let's look at the fours for your next lesson on how to play Sudoku.

Sudoku Puzzle Scan For Fours How To Solve Sudoku Scan 4s You cansee a similar pattern in the fours as there was in the ones above. In the lower left region you can see that there is only

one cell (marked with an X) that isn't eliminated using the scan method. Enter a 4 there. See if you can find the rest of the fours. You have enough clues. Now continue solving for fives through eights. Your grid will look like the next graphic in the center of your grid. Naked Nine How To Play Sudoku naked 9 Can you find a nine in the example at the left without using any other numbers to help? Yes, you're right. A nine goes in the middle row to complete the row. It is the only missing number. That was simple!

The Sudoku Solution So Far How To Play Sudoku Partial Solved You are making great progress in learning how to play Sudoku. You should be able solve most cells using the scan method you learnedso far. The image on the left was solved using just the scan method and entering the naked nine as mentioned earlier. Pencil In Candidates

How To Play Sudoku Candidates Let's say you are stuck. It's time to pencil in all the possible candidates for the remaining cells.The example on the left shows all the possible candidates for thepartially solved puzzle. You can quickly note that in the seventhcolumn are two "naked" single numbers standing alone. The naked numbers are 1 and a 2. We also have a "hidden" 6 in the same column. Since the 1 and 2 are already found, you can eliminate the 1 and 2 from the cell containing 1, 2 and 6. The 6 remains.

Enter these numbers and you have quickly completed the column. Now that you have found a 1 in the seventh column, you can eliminate the 1 from the last cell in the bottom row.

A 3 remains. Enter the 3 and you have completed the bottom row. As you enter a found number, be sure to cross off that number in the row, column, and region that your found number is in. As you do, new "naked" numbers will appear. In the lower left region, when you entered a 3 solving the bottom row, enables you to now eliminate all threes in this region. Doing so reveals another "naked" 6 and a 1/6 pair. Enter the 6 where the "naked" 6 is. Nowyou can also remove the 6 from the last cell in this region. A "naked" 1 remains. Enter the 1 and you have solved this region.The numbers shown in the example are the "givens". These numbers can not be changed in any puzzle.

You solve the puzzle by filling in the empty cells with a single number (from all the possible candidates) that doesn't violate Sudoku rules. There is only one correct number per cell.

Scan the "givens" looking for the same number in different rows, columns, or regions. Eliminate cells for consideration by applying the Sudoku rules using these numbers.

In cases where the solution isn't immediately obvious, you markupor pencil in a vacant cell the possible candidates for future reference.

Consider using the blank Sudoku grid with candidates method to determine all the possible candidates. This can save you time in solving puzzles and prevent missing important candidates. It willalso reveal answers that are not immediately obvious otherwise.

After you have identified the possible candidates it is time to apply some logic. It is necessary to eliminate all candidates to arrive at a single answer for each cell. I'll cover this topic inmore detail in related articles.

The Sudoku Puzzle Challenge

Complete the Sudoku puzzle so that each and every row, column, and region contains the numbers one through nine only once.

The puzzle above I would rate as very easy. I hand crafted this puzzle. It can be solved using simple logic and eliminating a fewcandidates.

It is interesting to note that it is not the quantity of givens that make a Sudoku puzzle easy or hard. Rather, it is the location and combination of givens.

Naked Nine

How To Play Sudoku naked 9 Can you find a nine in the example at the left without using any other numbers to help?

Yes, you're right. A nine goes in the middle row to complete the row. It is the only missing number. That was simple!

The Sudoku Solution So Far

How To Play Sudoku Partial Solved You are making great progress in learning how to play Sudoku. You should be able solve most cells using the scan method you learned so far.

The image on the left was solved using just the scan method and entering the naked nine as mentioned earlier.

Pencil In Candidates

How To Play Sudoku Candidates Let's say you are stuck. It's time to pencil in all the possible candidates for the remaining cells.

The example on the left shows all the possible candidates for thepartially solved puzzle.

You can quickly note that in the seventh column are two "naked" single numbers standing alone.

The naked numbers are 1 and a 2. We also have a "hidden" 6 in thesame column.

Since the 1 and 2 are already found, you can eliminate the 1 and 2 from the cell containing 1, 2 and 6. The 6 remains. Enter thesenumbers and you have quickly completed the column.

Now that you have found a 1 in the seventh column, you can eliminate the 1 from the last cell in the bottom row. A 3 remains. Enter the 3 and you have completed the bottom row. As you enter a found number, be sure to cross off that number in therow, column, and region that your found number is in. As you do, new "naked" numbers will appear.Complete the Sudoku puzzle so that each and every row, column, and region contains the numbers one through nine only once. The puzzle above i would rate as veryeasy. I hand crafted this puzzle. It can be solved using simple logic and eliminating a few candidates. It is interesting to notethat it is not the quantity of givens that make a Sudoku puzzle easy or hard. Rather, it is the location and combination of givens.