Naturally, it is a superset of the single digit lockdown and so is much more effective. The single digit lockdown technique is also explained in a following section.Ī still rarer pattern is 4 cell single digit lockdown in a rectangular formation that we have found only once. It eliminates the digit from all other DSs in the locked row or column outside and inside the 9 cell square. One of the most powerful patterns that we have used for highly positive result each time, is the lockdown of a single digit in a row or column inside a 9 cell square. In hybrid strategy, a few of the cells of interest are filled with DS of shorter length and analyzed for a breakthrough such as forming a Cycle. Experienced Sudoku players may do it as a routine. Strategically for faster solution, it is better to delay this time-consuming task as much as possible.įull DS population process is explained in a following section.
This is a time-consuming and error-prone job. The last resort of filling each empty cell with valid digit subsets is to be taken up when it is absolutely necessary. You may wait for Cycles to form automatically in a column or row, but a proactive approach of forming a Cycle by DS analysis speeds up the solution process considerably. Concept and use of Cycles are explained in a following section. A Cycle is a treasure to have in any situation and Cycles play a key role in quick solution. This technique is explained in a following concept section.Īnd wherever possible, Cycles are formed. It is-identification of single valid digit for a cell by Digit Subset Analysis or DSA in short.
When easy breaks by row-column scan becomes hard to get, the next technique of Digit Subset Analysis is used. This is the most basic and easiest of all techniques. Sudoku hard Strategy and techniques for easy solutionĪs a strategy we always try first-the row-column scan to find the valid cellat any stage. Please spend your time on the game before going through the solution. To skip these five sections and move straight to the step by step solution of the Sudoku hard puzzle, click here. Next five sections are on strategies and techniques for solving hard Sudoku puzzles in brief. The Rs are the row labels, Cs are the column labels and we define this as the stage 1 marked on top left corner. In the same way, for the other techniques also you may jump to details of a technique and after refreshing your concept return to the point from where you jumped.įollowing is the Sudoku puzzle that should engage you for some time.
METHOD OF SOLVING SUDOKU PUZZLES HOW TO
While going through the solution you may click on say Cycle whenever it appears, to know how to form and use a Cycle and then return to the previous position to continue through the solution. You may move directly to any of the above sections by clicking its link and return to previous position by clicking on browser back button.
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