sudoku solved in january 2015
sudoku challenges solved
http://books.google.co.nz/books/about/Sudoku.html?id=lX5wG7Ys6JEC&redir_esc=y
http://www.amazon.com/Sudoku-Explaining-Fifteen-Steps-Francis/dp/1412080231
Take a look at the Francis' Rules for Sudoku, given here. Rules One, Two, Three in three corresponding (1) rows, or (2) columns or (3) boxes, just look out for me. |
Rules Four, Five, Six form the mix,
In a row, or a column or a box, Am I the remaining number in remaining slot? Rules Seven, Eight, Nine, Pair up two numbers in line and me, yes me, you might find. |
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Rules Ten, Eleven and Twelve,
I, yes my number, might be the only one in that Shelve. Rules Thirteen, Fourteen and Fifteen, Triple numbers selected and I can well be seen. |
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The Francis’ Rules Explained
(Rules # 1 to # 6) There are fifteen rules for Sudoku Challenge. The first three rules are collectively known as Cross-Referencing, which means the spotting of similar digits in the related boxes, rows and columns. These similar digits cannot be in the same box or the same row or the same column. Francis’ Rule # 1, for example, looks at the horizontal rows in sets of three, corresponding to the boxes. We call this Rule the Cross Referencing of the rows. Francis’ Rule # 2 looks vertically at three columns that correspond to the boxes. Francis’ Rule # 3 starts with any particular cell and from that position we scan the other cells in the same box, the related row and the related column to see if there is only one digit that can sit comfortably in that cell. Francis’ Rule # 4 looks at a box and if there are three or less remaining cells in that box, these can be filled by numbers that do not conflict with the cell's corresponding row and column. Francis’ Rule # 5 repeats the same ‘remaining cell(s)’ concept but applies to any row. Francis' Rule # 6 does the same 'remaining cell(s)' concept to any column. |
Francis’ Rules # 7, # 8 and # 9 concerns the pairing of two similar digits in two cells of a box (Rule # 7) or of a row (Rule # 8) or of a column (Rule # 9). When that happens, the two similar digits can be eliminated from the remaining other vacant cells in that box (Rule # 7) or that row (Rule # 8) or that column (Rule # 9) leaving us with definite answers for these remaining cells. There are times when only one digit can apply to a cell within a box (Francis’ Rule # 10) or within a row (Francis’ Rule # 11) or within a column (Francis’ Rule # 12). This usually happens when the other cells within that box (Francis’ Rule # 10) or that row (Francis Rule # 11) or that column (Francis’ Rule # 12) are either occupied with digits or are in positions where certain digits cannot sit due to the presence of similar digits in related box, row or column. The last three rules apply when there are instances where three possible digits are applicable in three different cells within a box (Francis’ Rule # 13) or within a row (Francis’ Rule # 14) or within a column (Francis’ Rule # 15). Again, when that happens we can eliminate these three digits from the rest of the cells within that box (Rule # 13) or that row (Rule # 14) or that column (Rule # 15) to get answers for these remaining cells. |
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