![]() ![]() Use the positive results from the just discovered pattern as much as possible.Finally, stop enumeration when a Cycle or any useful pattern is formed.In short, enumerate possible digits for empty cells with minimum number of possible digits.After writing possible digits in a few empty cells, have a quick look to identify a Cycle or any other useful pattern formed.Move on to the adjacent 9 cell major square.Go on to complete enumeration for rest of empty cells in the promising region.Number of possible digits in a cell in such a region should be minimum. These are the regions in which to start the tedious job. Locate the region (junction of a row, column and 9 cell major square) visually where maximum number of unique digits are filled up.Time saving strategy in enumeration of possible digits in empty cells of a Sudoku hard puzzle This is how the critical Cycle (1,5,8) is formed in R7C1, R8C1 and R9C1.Īs a result, these three digits are locked in these three cells in the column C1 and parent bottom left major square and will disallow any of these three digits in the two parent zones, C1 and bottom left major square.īy this reduction of DSs of the affected zones, a Cycle reduces overall uncertainty in the game and often helps to produce a breakthrough. is the possible digit subset or DS in R7C1.ĭifference of this cell with the other two cells, R8C1, R9C1 is the absences of digit 5 that makes the DSs for these two cells. Altogether seven existing digit subset affects or lights up the cell R7C1 so that only either of the two missing digits can be placed in it. Explanation on how Cycle (1,5,8) is formedĭS in promising cell R7C1 is by reduction of contributed by C1, contributed by R7 and contributed by bottom left major square. Just by superficial assessment of promise we land a success in the form of Cycle (1,5,8) in R7C1, R8C1, R9C1 by DSA. So we'll next start evaluating 2 or 3 digit possible digit subsets DSs in promising cells with many existing digits in the three interacting zones. This is the hallmark of a truly Sudoku hard puzzle game. None of the digits could produce any success of valid cell by row column scan. Step by step solution to the New York Times Sudoku Hard, 16th February, 2021: Stage 1: Breakthroughs by DSA technique and Cycles The New York Times Sudoku Hard, 16th February, 2021 ![]() New York Times Sudoku Hard, 16 February, 2021 solved in four stages explaining all breakthroughs and how those are achieved by advanced Sudoku techniques. PRINT: You can print the puzzle in PDF format, which requires the free Acrobat Reader.New York Times Sudoku hard puzzle 16th February, 2021 Solved in easy steps The square indicated by the hint, click "Reveal." HINT: To find out where the next solvable square is, without being told the answer, click "Hint." To remove all wrong answers at once after checking, hit the delete key.Īll numbers not yet used in the row, column, or box. Shift-delete removes all light numbers, shift-insert makes them dark.ĬHECK: To see how you're doing, click "Check." Boxes with incorrect answers will be highlighted in pink. Click "Pencil" to insert numbers in light blue, and click again to return to the standard color. ![]() PENCIL: If you're not sure about an answer, UNDO: Click to remove the last number you entered, and the one before, and the one before. TIMER: Track your time by clicking "Start." Hold the Alt key on a PC or the Control key on a Mac while typing the numbers. If you have narrowed down the possible numbers for a box, enter multiple numbers in small type. Type a number directly into a square or drag it in from the right. Fill the grid with numbers so that every row, every column and every 3-by-3 box contains the digits 1 to 9, without repeating. For information on how to play, please see below. ![]() Every day on you can solve a new sudoku puzzle that matches your level of expertise. ![]()
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