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9 answers

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Solution methods
The strategy for solving a puzzle may be regarded as comprising a combination of three processes: scanning, marking up, and analyzing.


The 3×3 region in the top-right corner must contain a 5. By hatching across and up from 5s located elsewhere in the grid, the solver can eliminate all the empty cells in the top-right corner which cannot contain a 5. This leaves only one possible cell for a 5 (highlighted in green).[edit]
Scanning
Scanning is performed at the outset and throughout the solution. Scans need be performed only once in between analyses. Scanning consists of two techniques:

Cross-hatching: the scanning of rows to identify which line in a region may contain a certain numeral by a process of elimination. The process is repeated with the columns. For fastest results, the numerals are scanned in order of their frequency. It is important to perform this process systematically, checking all of the digits 1–9.
Counting 1–9 in regions, rows, and columns to identify missing numerals. Counting based upon the last numeral discovered may speed up the search. It also can be the case, particularly in tougher puzzles, that the best way to ascertain the value of a cell is to count in reverse—that is, by scanning the cell's region, row, and column for values it cannot be, in order to see what remains.
Advanced solvers look for "contingencies" while scanning, narrowing a numeral's location within a row, column, or region to two or three cells. When those cells lie within the same row and region, they can be used for elimination during cross-hatching and counting. Puzzles solved by scanning alone without requiring the detection of contingencies are classified as "easy;" more difficult puzzles cannot be solved by basic scanning alone.


A method for marking likely numerals in a single cell by the placing of pencil dots. To reduce the number of dots used in each cell, the marking would only be done after as many numbers as possible have been added to the puzzle by scanning. Dots are erased as their corresponding numerals are eliminated as candidates.[edit]
Marking up
Scanning stops when no further numerals can be discovered, making it necessary to engage in logical analysis. One method to guide the analysis is to mark candidate numerals in the blank cells. There are two popular notations: subscripts and dots.

In the subscript notation the candidate numerals are written in subscript in the cells. However, original puzzles printed in a newspaper usually are too small to accommodate more than a few digits of normal handwriting. Thus, solvers often create a larger copy of the puzzle.
The second notation uses a pattern of dots in each square, where the dot position indicates a number from 1 to 9. The dot notation can be used on the original puzzle. Dexterity is required in placing the dots, since misplaced dots or inadvertent marks inevitably lead to confusion and may not be easily erased.
An alternative technique is to "mark up" the numerals that a cell cannot be. A cell will start empty and as more constraints become known, it will slowly fill until only one mark is missing. Assuming no mistakes are made and the marks can be overwritten with the value of a cell, there is no longer a need for any erasures.

[edit]
Analysis
The two main approaches to analysis are "candidate elimination" and "what-if".


Candidate elimination
In "candidate elimination", progress is made by successively eliminating candidate numerals from cells to leave one choice. After each answer has been achieved, another scan may be performed—usually checking to see the effect of the contingencies. One method works by identifying "matched cells". If precisely two cells within a scope (a particular row, column, or region) contain the same two candidate numerals (p,q), or if precisely three cells within a scope contain the same three candidate numerals (p,q,r), these cells are said to be matched. The placement of these numerals anywhere else within that same scope would make a solution impossible; thus, the candidate numerals (p,q,r) scope can be deleted. When all else fails, ask the question, 'Would entering the eliminated numeral prevent completion of the other necessary placements?' If the answer to the question is 'Yes,' then the candidate numeral in question can be eliminated.


The "What-If" Approach
In the "what-if" approach (also called "guess-and-check", "bifurcation", "backtracking" and "Ariadne's thread"), a cell with two candidate numerals is selected, and a guess is made. The steps are repeated unless a duplication is found or a cell is left without a possible candidate, in which case the alternative candidate must be the solution. For each cell's candidate, the question is posed: 'will entering a particular numeral prevent completion of the other placements of that numeral?' If the answer is 'yes', then that candidate can be eliminated. The what-if approach requires a pencil and eraser or a good layout memory.

2006-08-28 17:04:16 · answer #1 · answered by sexylittlemisstweetybird83 5 · 0 0

First, get the obvious, two rows with the same number, you can usually easily find the third. There are almost always some of those.

It is best learned through practice actually. No general rule, but I always start with the above strategy and go from there. Often times I have to write into the boxes 2 or 3 possibilities. Say 1 and 2 are the only two possibilities in two boxes of the same row, then you can eliminate 1 and 2 for the remaining 8 in the row.

2006-08-29 00:08:54 · answer #2 · answered by powhound 7 · 0 0

I don't think he was asking for the actual directions on how the game is played, but for strategy...

There aren't "rules" per say other than those laid down in its definition. However exahausting all known information one set-of-sqaures at a time starting with the one with the most direct or implied information will lead you to the solution everytime. Its all about inductive logic, so don't try to solve it by jumping around erratically between individual sqaures.

2006-08-29 00:04:12 · answer #3 · answered by Anonymous · 0 0

Okay, though I have never solved a puzzle, you have to get 1-9 in a box, row(left to right) and Up and down. Thing is NO REAPEATS ARE ALOWD IN THE ROWS, BOXES,ETC. Good luck

2006-08-29 00:03:29 · answer #4 · answered by Uchihaitachi345 5 · 0 0

No, but there are many ways to rule out all the other numbers, thus finding the correct one.

2006-08-29 00:02:38 · answer #5 · answered by thrill88 6 · 0 0

yes, you can only have a 1 through 9 in every column, row and quadrant...if there's more than one of any number in any of those areas, you lose.

Try this link...

2006-08-29 00:03:38 · answer #6 · answered by Tom 4 · 0 0

what i do is go through all the squares and lightly write in what numbers it could be, then do the process of elimination.

2006-08-29 00:03:13 · answer #7 · answered by jobugg257 3 · 0 0

Sudoku is gay!

2006-08-29 00:01:26 · answer #8 · answered by Anonymous · 0 0

i dont think so.

2006-08-29 00:05:29 · answer #9 · answered by Anonymous · 0 0

Have sex with it.

2006-08-29 00:01:17 · answer #10 · answered by mrbaltezor 2 · 0 0

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