SUDOKU – The Solution

I have found that the following instructions will solve any SUDOKU problems

1. First create a 81 square grid using EXCEL

2. Into each of the 81 small square of the grid place the numbers

1 2 3

4 5 6

7 8 9

I can forward an e-mail attachment with this EXCEL 81 square grid as well as a 9 x 9 blank 81 square grid (see below) on request

3. For purposes of explanation call:

a. each small square a ‘1 to 9 group’, there being 81 such

groups

b. each 3 x 3 ‘1 to 9 groups’ a ‘mini-group’, there being 9 such

mini-groups.

Once the grid has been created use the following steps to solve any SUDOKU problem

1. Delete all numbers, apart from the given number, from their ‘1 to 9

groups’

2. Delete the given numbers from their rows, columns and 3 x 3

‘mini-group’

3. For ease of further working transcribe the remaining numbers into a

9 x 9 blank 81 square grid.

4. Identify single solitary number(s) and delete them elsewhere from

their row, column and/or 3 x 3 ‘mini-group’.

5. Identify number(s) that do not occur elsewhere in a row, column

and/or a 3 x 3 ‘mini-group’

eg the 4 in this row 237, 564,18, 239, 67, 123, 479, 58, 29 and then

delete the numbers accompanying that number eg the 5 and 6 in

this example and then

delete that number, viz 4, from a row and/or a column and/or 3 x 3

‘mini-group’ in which it

occurs with other numbers as any row, column or 3 x 3 ‘mini-group’

can only have that number 4 once

6. When two numbers appear together twice in the same row, column

or 3 x 3 ‘mini-group’, those numbers can be deleted from elsewhere

in that row, column or 3 x 3 ‘mini-group’

eg the 2 and 3 from the following row: 23, 237, 564,18, 239, 23, 67,

124, 379.

7. When the same three numbers (abc) appear in the same row,

column or 3 x 3 ‘mini-group’ in any combination eg: ab-bc-ca,

ab-bc-abc, ab-ab-abc, ab-abc-abc, abc-abc-abc etc etc, those

three numbers can be deleted from elsewhere in that row, column

or 3 x 3 ‘mini-group’ eg: 236 in the following row 23, 36, 236, 689,

3479,123789, 2569, 148, 679

8. When a number appears two or three times in the same row or

column of a 3 x 3 ‘mini-group’, but no where else in that 3 x 3

‘mini-group’, it can be deleted from that row or column outside

that 3 x 3 ‘mini-group’

9. Keep repeating steps 4, 5, 6, 7 and 8, working rows, columns and

3 x 3 ‘mini-group’ repeatedly until the problem is solved

At any time transcribe the remaining numbers into a 9 x 9 blank 81 square grid to facilitate further working