How To Solve A Sudoku Puzzle
A Sudoku Puzzle
A Sudoku Puzzle. is a number puzzle containing the numbers 1 to 9 in 9 rows of cells, 9 columns of cells and 3 x 3 blocks of cells.
ie each row has to have the number 1 to 9
each column has to have the numbers 1 - 9
each block of 3 x 3 cells have to have the numbers 1 to 9
When you look at the puzzle there will be empty cells and cells with numbers.
The aim of the game is to place a number from 1 to 9 in each empty cell so that each row, each column and each 3 x 3 block contains all of the numbers 1 to 9. And no number can appear twice in any row, column and each 3 x 3 block.
There are Sudoku Puzzles at varying levels from easy, medium ,hard and genius.
So, how do you solve a Sudoku Puzzle?
I have three ideas as follows:
Idea 1:
You will need to place all probable numbers from 1 to 9 in each cell. Take each number one at a time and do the following nine times. This example is with the number 1.
1.Look at the top left corner block of 3 x 3 cells. If there are no 1's in that block then continue with step 2 etc. If there is a 1 in that block then move on to another block, either across or downwards and look for 1's. Move onto step 2 etc if there are no 1's or another block if there are 1's. Continue like this until all blocks have been completed.
2. Write a 1 in all the empty cells which could be a 1, either small or big.
~ To determine if a 1 should go in the empty cell, work through each empty cell one at a time.
~ Choose a cell and look across the row at the other two blocks to see if there are any other 1's.
If there is another 1 in that row then you will know that a 1 will not go in the empty cell of question.
If there is not another 1 in that row then follow the next step.
~ Look down/up the column at the other two blocks to see if there are any other 1's.
If there there is another 1 in that column then you will know that a 1 will not go in that empty cell of question.
If there is not another 1 in that column then write a small 1 at the top of the cell. There are occasions when you will know that '1' has to go in that cell, in which case you will write in a big 1.
An example of this is where you find a 1 in two of the other coloumns and two of the other rows.Another example is where you find a 1 in two of the other columns and one of the rows plus having a number written in one of the other cells.
~ When you have finished looking at all the cells, write a number 1 down somewhere on the page away from the square of numbers, to remind you what number you have worked through.
~ Repeat above process with the numbers 2 to 9, one at a time.
3. Now it is time to fill in the blank cells with big numbers.
~ Some cells may only have one number in them after the above process. Write that number in big and cross out the little number written in that block, row or column, as the number can no longer be an option for those cells. This could open up more definite answers which you will write in big.
~ You will be left with cells which have varying number of little numbers written in. You will have to use your detective powers to figure out the rest. For example if there are two empty cells in block 1 and in a row and you are trying to work out the number in a cell in the same row but in another horizontal block eg block 2, the number in that cell of question cannot be any of the two numbers in block1.
Idea 2:
This idea starts off differently than idea 1 but ends up with the same process.
What you do is:
~ Look at each of the three blocks in a column. Notice any number which is written in two of the blocks eg 6. Work through each number one at a time.
~.Now locate the block where that number is missing eg 6 and look at the vertical cells
If there are two numbers written in the column then 6 has to go in the empty cell.
If there is one or no numbers in the column, then look across the row(s) to see if that number eg 6 exists in any of the other two blocks.
If there is a number 6 written in the other blocks then 6 cannot go in the cell of question.
If there is not a 6 written in the other blocks, then a 6 can be written down either big or small. The number will be big if there is a number eg 6 written in each of the other two blocks.
~ Repeat this process for the next two sets of verticle 3 x 3 blocks and then the three horizontal blocks.
~ Then go through and do the complete process again, taking into account the big numbers you have just written in.
~ Work through each block one by one with the numbers 1 to 9 and write down small and big numbers in each cell. Remember, you choose a number, look across and down/up to see if that number is there or not and write the numbere, big or small, if the number does not exist in the adjacent row or column.
~ Then follow through step 3 in idea 1 to complete this process.
Idea 3:
You can randomly place numbers 1 tom 9 in the empty cells and hope it works.
There are variations of the Sudoku Puzzle which are using:
1.letters of a word
2.symbols
3.mixture of numbers and letters
4.musical signs eg notes, rests
5.a 4 x 4 matrix or more
You have now read and maybe tried some methods for solving a Sudoku puzzle. Why not go forth, stimulate your mind and have fun with your logic.
by: Hilary Daglish
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