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Sudoku, The Game Puzzling the World 
 
by L M Kensington October 21, 2005

What Is Sudoku?

Sudoku (pronounced soo-DOH-koo) is a numbers puzzle. The word Sudoku comes from the Japanese su- (number) and doku- (single).

An American working with Dell Puzzles invented it in 1979 and called it Number Place. It started appearing in Japanese newspapers as Suji wa dokushin ni kagiru (the numbers must occur only once) in the 1980s and was already a big hit there, its name shortened to Sudoku, when a retired judge vacationed in Tokyo in 1997, was hooked playing it, and resolved to spread it in the West.

The puzzle appeared in the Times newspaper in London in late 2004, where it became a craze, leading to published books, television game shows, and Sudoku tournaments. The public bought more books on Sudoku than the latest volume of Harry Potter.

Now, the puzzle appears in over 400 newspapers worldwide, including a growing number in the United States. Sudoku aficionados compare the spread of the puzzle to the Rubik’s Cube craze in the early 1980s.

Sudoku’s Appeal

The central appeal of Sudoku is its simplicity. The puzzle is a nine-by-nine square grid with nine three-by-three mini grids. The goal is to fill the entire grid so that every row, column, and mini grid contains the numbers 1 through 9, each number appearing only once in each row, in each column, and in each mini-grid.

Some of the boxes in the grid already contain numbers that act as clues, like a crossword puzzle with some of the letters written in. The puzzle solver starts with these clues and tries to guess how to arrange the other numbers so that the number appears only once in the row, column, and mini grid.

Each puzzle has only one solution, and one does not have to be a genius or good at math to solve it. Solving a Sudoku puzzle meticulously demands logic and patience. It needs a certain degree of mental concentration and is good for exercising the memory. All these make solving the puzzle exciting.

Levels of Difficulty

Sudoku puzzle designers claim there are four levels of difficulty some classify as gentle, moderate, tough, and diabolical. Some newspapers use different terms.

The level of difficulty does not depend only on how many numbers are given at the start.

Aside from the given numbers, three things determine the puzzle’s difficulty: how many squares can be filled up by using the process of elimination, how many guesses are needed to reach the right solution, and how many times one has to backtrack to solve the puzzle.

A computer that generates these puzzles also classifies the puzzle’s difficulty based on these four factors.

As I have experienced, the rating assigned by the computer is sometimes not reliable. The possible reason is that the computer assumes all possible wrong guesses before arriving at a final solution. However, after playing the puzzle several times, I learned that luckily making the right guess the first time allowed me to quickly solve the puzzle.

Some puzzles with a few given numbers are easy to solve, while others with as many as twenty-seven given numbers are very difficult.

How to Play Sudoku

Learning to play Sudoku is difficult without an illustration, but with a good imagination, you can get a general idea. If you want to see how a Sudoku grid looks like, just click on the link at the end of this article and store that image before we proceed.

The first thing you see when you look at the puzzle is a large square, the grid, containing 81 squares. This is like a chessboard with nine squares on top and nine squares on the side, intersecting to form eighty-one squares. This grid has nine columns going from left to right and nine rows going from top to bottom.

For every three squares, four thick lines – two drawn from top to bottom and two drawn from left to right – form a mini-grid of nine squares each. Each mini-grid is a three by three square so the grid, the large square, has nine mini-grids.

An easy Sudoku puzzle may have twenty-nine numbers printed in different squares and several mini-grids. Using these numbers as starting clues, your goal is to fill up the remaining squares with numbers.

How do you start?

Picture yourself looking at a Sudoku puzzle for the first time. You see the grid, the mini-grids, and the numbers.

You can start anywhere, but I prefer to take the upper left mini-grid first. What I do next is move from the left upper mini-grid to the right lowest mini-grid, filling up each box in the mini-grid with the possible numbers that can go into each empty square. You will find out what these numbers are from what you already see printed on each row, column, and mini-grid.

By a process of elimination, you fill in each square, from top-left to bottom-right, going from the top row to the bottom row in each mini-grid.

Your big problem is the size of the square as printed in the newspaper. How do I solve this? I duplicate the puzzle on my PDA, enlarge the image, and work at it.

It takes around ten minutes to fill up all the boxes, and the process of elimination begins.

These are the clues to watch for:

  • Look at each mini-grid. Study each empty square (without given numbers) filled with the numbers that can go in that square. If a number appears only once in that mini-grid, this means that that number should be in that square.
  • When you identify a number that belongs in a square by this process of elimination, erase that same number from the other squares in the mini-grid and from squares where it appears on the same row and column.
  • Do this for all the nine mini-grids.
  • Next, look at each row and column and do the same process of elimination. If there is a number that appears only on that row and on that column, then that number belongs in that square.
  • Erase that number from the other squares in the mini-grid. There is no need for you to erase it from other columns or rows, since it appeared only once.
  • Do this for all the nine row and nine columns.

After doing all these meticulously (it usually takes me twenty minutes or less to do it), you are left with two or three squares in each mini-grid with two or three numbers that can possibly fit in.

The End Game

This is where the final stage begins. You need to start making guesses to arrive at the complete solution.

What I do is look for a mini-grid with two squares not filled in. Usually, there are two numbers left, both of which are the same, and then work from there.

Guessing that one number goes into a square means it will not go into any other square in the mini-grid, row, or column. If you guess it right, the solution reveals itself.

In some Sudoku puzzles, I reach the final stage with three or four squares not filled in some mini-grids. This makes the guessing game more tedious but challenging.

With a bit of practice, a quick glance reveals the solution, and the fulfillment at cracking another Sudoku puzzle fills you with relief.

By this time, close to an hour had passed and your subway ride is over. Your mind, refreshed and feeling like a winner, is ready to tackle less serious matters at the office.


 

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