R5C4 8 by scan for 8 in R4 -- R4C4 6 by exception in C4 -- R4C3 1 by reduction -- R5C3 6 by exception in C3 -- R4C8 4 by exception in R4. The updated list of Solutions to level 3, level 4 and NYTimes Sudoku hard puzzle games: How to solve Sudoku hard puzzle games full list (includes very hard Sudoku). With 7 in R7C6, R1C6 4 by reduction -- R9C6 5 by reduction -- R9C5 1 by reduction -- R9C4 4 by reduction -- R6C5 5 by reduction and exception in C5 -- R1C4 7 by reduction and exception in R1. This creates an opportunity for us to apply advanced technique of double digit scan to get a valid cell hit. . R3C2 4 by scan for 4 in R2, C1, C3 -- R3C3 1 by scan for 1 in R2, C1 -- R6C3 8 by reduction -- R6C2 1 by reduction -- R2C3 7 by reduction -- R2C8 6 by reduction -- R2C2 8 by reduction and exception -- R1C8 4 by reduction -- R1C7 5 by reduction -- R1C1 6 by reduction and exception in R1 -- R7C1 7 by reduction -- R3C1 5 by reduction. With 3 in R8C6, R8C7 7 by reduction -- R9C7 3 by reduction -- R8C5 6 by reduction -- R9C5 7 by reduction. Possible digit subset in central middle major square reduced to [1,4,5,7] -- R5C2 5 by DSA reduction of [2,6] in R5 from [2,5,6] possible digit subset in C2. By the way, Sudoku hard solution techniques are included with many of the solutions. As a ball-park figure, any Sudoku puzzle having number of filled up cells 27 and below should be taken as hard or extremely hard. It reduces the possible digit subset DS in right middle major square to [4,5,7,9] -- breakthrough valid cell R6C8 5 by reduction of [4,7,9] (with [4,7] in C8 and 9 in C6) from DS [4.5.7.9] -- followed by R7C8 3 by DSA reduction of [1,5,7] from DS [1,3,5,7] in C8 -- R7C9 7 by reduction of [1,5] from DS [1,5,7]. Primarily, with only two cells left for the two digits, a breakthrough Cycle of (1,8) is formed in a single strike and it leaves only the cell R6C1 for digit 4 by exception in left middle major square. You could have identified the formation of this Cycle first to get the breakthrough. Once a few cells are filled in a zone, enumerating the rest gets easier. These are rough figures drawn from experience. You get a valid cell breakthrough in R2C5 5. R2C3 5 by parallel digit scan for 5 on empty cells of C3: 5 in R1 debars R1C3 for 5, 5 in left middle major square debars R4C3, R5C3 for 5 leaving single cell R2C3 for 5 -- R2C5 1 by reduction of [5,8] from DS [1,5,8] in C5 -- R4C5 5 by reduction of 1 -- R4C4 1 by reduction and R1C5 8 by exception in C5. Do you play the New York Times Sudoku? In a single digit lock, a lone digit is locked in two cells in a 9 cell square as well as in a row or column. For full enjoyment, avoid looking into any solution as well as the answer. With 6 in R1C5, R1C6 2 by reduction -- R1C1 5 by reduction -- R1C4 8 by reduction. Next identify the advanced technique of Parallel scan for 8 on empty cells of R8: 8 in bottom left major square eliminates R8C1, R8C2, R8C3 for 8 and 8 in C9 eliminates R8C9 for 8 leaving the single cell R8C7 for 8 -- R8C7 8. By the way, Sudoku hard solution techniques are included with many of the solutions. Well not disturb the Cycle of (6,8) for better understanding of what happened at this stage. In the process, an awkward shaped Cycle (1,2,5,6) in bottom left major square formed. By possible digit analysis we have the DSs in R4C3, R5C3 and R6C3 as [1,6], [1,6,7] and [1,6,7]. With 6 in R6C9, R7C9 4 by reduction -- R7C7 6 by reduction and exception in C7. If Costner's 1989 baseball movie had featured zombies, it could have been called - FIELD OF "SCREAMS" (Distributed by Tribune Content Agency) DS in C1 [1,2,5,7] reduced by [2,7] in R7 to form DS [1,5] in R7C1, reduced by 7 in R8 to form DS [125] in R8C1 and reduced by 2 in R9 to form DS [1,5,7] in R9C1. Step by step solution to the New York Times Sudoku Hard 20th February, 2021: Stage 1: Breakthroughs by Double digit scan, DSA technique and Cycles First success by row-column scan: R8C8 4 because of 4 in R7, R9 -- R9C9 2 by scan for 2 in R7, C7. This prompts us to look for a valid cell caused by this single digit lock and thus discover the difficult to identify R2C5 5 by parallel digit scan for 5 on empty cells of R2. Bur that would have been time-taking. Look for placing any other possible digit by row-column scan. AFRAID INCOME LAGOON STYLUS AFFECT DUPLEX. In the final solution, 6 can appear in only one of these two cells and in no other cell of the parent bottom right major square or the parent row R8. A single digit lock is always a valuable asset for hard Sudoku simplification and whenever yoi identify such a possibility, just note it in your mind for future use at the right timer. Try free NYT games like the Mini Crossword, Ken Ken, Sudoku & SET plus our new subscriber-only puzzle Spelling Bee. Instead, the parallel digit scan is carried out on the empty cells of a row or a column. It is in three zones or areas - row R2, column C5 and 9 cell top-middle major square. After speed of solution, reducing labor being the main objective, we won't enumerate 4 or 5-digit possibilities or enumerate possible digits for ALL the cells. R1C7 2 by scan for 2 in R2, R3, C8 -- R1C8 6 by scan for 6 in R2, R3. By this parallel scan for 5 on empty cells of row R2, only one cell R2C5 is left placing digit 5. Before going through the solution solve the puzzle first. Elimination of four cells of column C6 for digit 1 by parallel scan is shown by blue arrows in Stage 2 solution figure below. Cycle (2,6) in two empty cells R6C3, R6C4 and DS [2,6] in R8C3 by DSA reduction of [1,5] from possible digits [1,2,5,6] in R7 -- a breakthrough Cycle (2,6) formed in R6C3, R8C3. Description - Self Solving Sudoku - Slice and Dice - Locked Candidates Pointing - Triple Subset - Pair - Locked Candidates Claiming - New York Times Sudoku Hard October 21, 2022 -. Enjoy also learning how to solve Sudoku hard in easy steps. As [1,8] appear together in C1, and also as none of these two digits are placed yet in left middle major square, we get Cycle (1,8) in cells R6C2, R6C3 by a double digit scan of [1,8] in C1. By the way, Sudoku hard solution techniques are included with many of the solutions. Solve New York Times Sudoku hard February 20, 2021 in quick steps. With this, two more empty cells R8C7 and R8C9 are left for 8 in R8. With 5 in R1C1, R7C1 1 by reduction -- R8C1 2 by reduction -- R8C3 6 by reduction -- R8C2 5 by reduction -- R8C5 1 by reduction -- R3C5 5 by reduction -- R9C4 8 by reduction -- R9C2 3 by reduction -- R9C3 9 by reduction -- R7C3 8 by reduction -- R4C3 7 by reduction -- R4C2 8 by reduction. This helps to form a new Cycle (1,5,8) in R3C5, R8C5, R9C5 -- R1C5 6 by reduction. Game status shown below. The New York Times publishes three puzzle challenges every [] Alternately this lock on 6 acts as if 6 actually exists in R8 and that's why a lock on a digit can be used for a scan for the digit. Unnecessary enumeration of possible digit subsets in empty cells is avoided to speed up the solution. Nevertheless, a distinction between hard, medium and easy Sudoku categories can be made. Fill as many cells as you can by row-column scan. This makes the digit invalid in any other cell in the row or column in which the digit is locked. Results of the actions taken shown below. This single digit lock has been formed by Cross-scan for 6 in R9, C1 and the Cycle (2,6) formed by DSA in R6C3, R8C3. In this case observe that by scan for 6 in R8, digit placement of digit 6 is restricted to only two cells in R8, R8C7 and R8C9. There is no metric or measurement to decide for sure that a Sudoku puzzle is hard, or not so hard. This creates Cycle (7,8) in R4. The Hint button will highlight the next logical square to solve that is empty or incorrect. The updated list of Solutions to level 3, level 4 and NYTimes Sudoku hard puzzle games: How to solve Sudoku hard puzzle games full list (includes very hard Sudoku). In the process we may get valid cells, but otherwise our lookout is for identifying for a single digit lock by cross scan. An effective single digit lock is formed invariably by scan for a digit in a single column or row or more frequently by cross-scan over a row and a column. Then start the process for the next higher digit. This eliminates the cell R6C1 for any of the two digits. This Cycle immediately causes the breakthrough of R9C1 7 by reduction of [1,5] from DS of [1,5,7] in R9C1 because of the property of locking the four digits inside the Cycled cells only. These four digits are locked and are self-sufficient in these four cells, each appearing at least twice in these four cells. Learn more about how to play The New York Times' word games and logic puzzles: Wordle, Spelling Bee, Letterboxed, Tiles, Vertex, and Sudoku. It can also be helpful to mark the columns and rows with pencil marks to work through elimination methods. Section below explains in a bit of detail the process of enumerating digits possible in a cell. For full enjoyment, avoid looking into any solution as well as the answer. For example, R5C5 2 by DSA reduction of [1,5] in the parent top middle major square itself from the possible digit DS of [1,2,5] in C5. This will result in a series of valid cells and is a major breakthrough. So the last breakthrough has been R9C1 7 by reduction of [1,5] from DS [1,5,7] because of the Cycle (1,2,5,6) in bottom left major square. We'll now show you a special valid cell breakthrough by a combination of advanced patterns of single digit lock and parallel scan. Since the launch of The Crossword in 1942, The Times has captivated solvers by providing engaging word and logic games. Identify the rows and columns with the digit that intersect in a cell in the the 9 square major square. Be VERY careful about your notes. Strategy adopted: start with row column scan coupled with aggressive breakthroughs by advanced Sudoku techniques. For example, if we get a useful pattern and a hit after enumerating just a few cell digit possibilities, we continue exploring the hit to get further hits. R9C8 2 by scan for 2 in C7 -- R9C3 5 by reduction -- R8C3 2 by reduction -- R9C4 4 by reduction -- R8C4 5 by reduction and exception. In this case for example, after you put 5 in R2C5, a Cycle of remaining four digits [4,6,7,8] is formed. You can include the QR code to any puzzle that is 9x9, for instance, to make it unique. To preserve the breakthrough digit patterns the stage is closed here with status shown below. Most of the time with Hard you have to go beyond Snyder notation just to solve. There is no metric or measurement to decide for sure that a Sudoku puzzle is hard, or not so hard. R5C2 5 by exception in C2 -- R6C9 6 by DSA reduction of [1,7] in C9 from DS [1,6,7] in three empty cells of R6 -- R6C4 1 by reduction of 7 from reduced DS [1,7] in R6 -- R6C3 7 by exception in R6 and by reduction. Writing long digit sets takes more time and effort. DS in R8C2 [2,5,6] by reduction of 1 in C2 from DS [1,2,5,6] in R8 and DS in R8C3 [2,6] by reduction of [1,5] in C3 from DS [1,2,5,6] in R8. Select a Word Game to learn more: Wordle. Cycle reduces possible digit subset for R7C4, R7C6 to [5,7] and with [7] in C6 we get the breakthrough R7C5 5 by reduction of 7 followed by R7C4 7 by exception. Still analyzing this promising neighborhood we detect the possibility of the next breakthrough of R2C1 3 by parallel scan for 3 on empty cells of C1. Results of the actions taken shown below. There is no metric or measurement to decide for sure that a Sudoku puzzle is hard, or not so hard. Identify Single digit lock on 6 in R7C7, R7C9 by scan for 6 in R8 -- this lock on 6 participates in next valid cell R9C2 6 by scan for 6 in R7 by the lock, 6 in R8 and 6 in C1. This is similar ro normal row column scan which is carried out on the empty cells of a major square. Printable Sudoku New York TimesPrintable Sudoku New York Times - There are many number of ways that to use Printable Sudoku Puzzles. These are rough figures drawn from experience. With 5 in R1C1, R3C2 2 by reduction -- R5C2 6 by reduction -- R6C3 2 by reduction -- R6C4 6 by reduction -- R5C6 1 by reduction -- R5C4 2 by reduction. R7C4 1 by DSA reduction of 9 from DS [1,9] in R7 -- R7C5 9 by exception in R7. This NY Times Sudoku puzzle with only 23 filled cells is fairly hard and well-balanced. Unique set of existing digits in all these three together are. With R7C5 9, R5C5 1 by reduction -- R5C4 8 by reduction -- R4C4 2 by reduction -- R6C4 6 by reduction -- R6C5 3 by reduction -- R6C6 9 by reduction -- R8C6 3 by reduction. In easy ones it can be 36 or more. In this process of parallel digit scan, presence of digit 5 in four columns C2, C6, C8 and C9 in parallel affected or lighted up four empty cells of the scanned row R2 and thus made these four cells invalid for placing digit 5. For example, in this case, after you place 8 in R8C7, it will be easy for you to identify a Cycle of (1,4,5,7) in rest four empty cells without specifically evaluating the possible digit subsets in these cells. R3C8 1 by scan for 1 in R2, C7, C9 R2C1 9 by reduction of [2,6] in R2 from DS [2,6,9] in top left major square -- R2C1 6 by reduction of 2 in C1 -- R3C2 2 by exception in top left major square R4C2 6 by exception in C2. This lock on C9 immediately participates in a row column scan for 3 in R7, lock in R9, 3 in C5 and 3 in C6 to produce unique digit 3 in cell R8C4 -- R8C4 3. This is a breakthrough by single digit lock and DSA. Never let go of an effective single digit lock. You may perhaps appreciate that, if you have proceeded to form first the possible digit subsets in these four cells and then identified the formation of the Cycle resulting in the valid cell R2C7 8, it would have taken much longer. Reason is simple: With more number of cells filled up, cell digit possibilities get shorter and getting them easier. In easy ones it can be 36 or more. New York Times Sudoku Hard 17 February, 2021 solved in four stages that explain all breakthroughs and how those are achieved by advanced Sudoku techniques. R4C7 7 by scan for 7 in C8, C9 -- R3C7 9 by reduction of 8 from DS [8,9] in R3 -- R3C9 8 by exception in R3 -- R7C9 9 by reduction -- R7C8 8 by reduction -- R4C9 4 by reduction of 9 from DS [4,9] in R4 -- R4C8 9 by exception -- R9C9 3 by exception in C9. The New York Times regularly publishes a number-based puzzle game called NYT Sudoku. Now in addition, a third possible digit subset of [2,6] is formed in R8C3 by DSA reduction of [1,5] from possible digit subset [1,2,5,6] in R8. First valid cell by row column scan is for 5: R4C2 5 by scan for 5 in R5, R6. This is a powerful way to get a valid cell. Note: To know more on DSA reduction technique, click on the above internal link and return (after going through it) by clicking on browser back button. If you get stuck, we're here to help with handy hints, as we are every day. The elimination of four empty cells for 5 in row R2 is shown by red arrows in the Stage 2 solution figure below. $(1, 3, 6) \cup (3, 4, 7, 9) \cup (1, 3, 5)=(1, 3, 4, 5, 6, 7, 9)$. Reduced DS in two empty cells in C8 is [2,9] -- R2C8 2 by reduction of 9 by R2 -- R2C1 8 by reduction -- R2C7 6 by reduction -- R2C4 3 by exception in R2. We'll end this stage by an important breakthrough in R6C1 7 by parallel digit scan for 7 on empty cells of R6: 7 in C3 debars cell R6C3, 7 in C4 debars 7 in R6C4 and 7 in C6 debars R6C6 for 7 leaving single cell R6C1 for 7. How to solve the Sudoku hard is explained clearly including all the breakthroughs. R9C7 4 by reduction of 6 from DS [4,6] from R9 -- R9C8 6 by exception in R9 -- R2C8 4 by exception in C8 -- R2C7 3 by exception in whole game. Note: For more details, you may click on the section link on "How the parallel digit scan works" above and return by clicking on browser back button. The NY Times Sudoku Hard 4th March 2021 solved step by step quickly and easily by advanced Sudoku techniques with breakthroughs explained adequately. Nevertheless, a distinction between hard, medium and easy Sudoku categories can be made. R2C2 8 by scan for 8 in R3 -- R3C2 4 by exception in top left major square. The joy of discoveries will then all be yours. R5C3 9 by reduction of 3 -- R4C3 2 by exception in C3. Wordle players can use these five hints to solve puzzle #500. Solution to New York Times Sudoku hard, 15th February, 2021 explains step by step how to use Sudoku hard techniques to achieve quick breakthroughs. So only the two missing digits (2, 8) are valid for the cell R2C5. I also believe these puzzles printed in newspapers are intended for an audience that has no idea what I just said. Now do a parallel scan for 1 in empty cells of column C6 to get the valid cell R1C6 1. About New York Times Games. For full enjoyment, avoid looking into any solution as well as the answer. The joy of discoveries will then all be yours. Digit possibilities for empty cells are enumerated ONLY WHEN NECESSARY. R4C1 8 by reduction of 3 from DS [3,8] in C1 -- R5C1 3 by exception in C1 -- R5C7 8 by exception in R5. R3C5 6 by DSA reduction of [1,2,5] from possible digit subset DS [1,2,5,6] in empty cells of C5 and hence in R3C5 -- R2C5 2 by DSA reduction of [1,5] from DS [1,2,5] in C5. Solution to the New York Times Sudoku Hard, 15th February, 2021: Stage 1: Early breakthroughs by Single digit lock and parallel scan Use row-column scan, the simplest method to get a unique digit for a cell. The . Hint #1: The word contains three vowels (madness isn't it) one of which, in a different word structure, could be a consonant. Description- Self Solving Sudoku- Slice and Dice- Locked Candidates Pointing- Triple Subset- Pair- Locked Candidates Claiming- New York Times Sudoku Hard October 21, 2022- Repeat from 19 January 2019- Watch as a Sudoku Classic puzzle is clearly solved step by step.- Stop video, solve the next square, play to check- Each square is solved in order of easy to hard.- Thanks for watching- Share if you like- A more important issue is reminding us to:- Observe the 6 foot rule- Wash our hands- Cough into our elbows- Avoid touching our faces- Wear a better mask- Be glad to get the jabs- Lets keep everyone safe- Cheers#RSOUDREUNSUDOKU#ResolviendoSudoku#SudokuNYT#NYTimes#Sudoku#Puzzle#Puzzles#Solutions SuDoku Archive for October 2012. Enjoy also learning how to solve Sudoku hard in easy steps. Step by step solution to the New York Times Sudoku Hard, 16th February, 2021: Stage 1: Breakthroughs by DSA technique and Cycles. The other important property of a parallel digit scan is, it will always be associated with a resultant Cycle in rest of the cells after you get the valid cell. This Sudoku hard is an especially challenging puzzle rich with Sudoku digit patterns. This breakthrough gives us two more valid cells, R3C7 8 by reduction from DS [4,8] -- R1C7 4 by reduction and exception in top right major square. We decide to continue to form DSs in empty cells of the promising zone bottom left major square. Three digits appear in in the column in only these three cells and nowhere else. Because of 8 in central middle major square, R5C6 6 by reduction of 8 -- R8C6 8 by reduction of 6 -- R8C5 6 by reduction of 8. JUMBLE. R6C9 4 by DSA reduction of [7,9] from DS [4,7,9] -- R6C7 7 by reduction -- R5C9 9 by exception in right middle major square -- R3C9 3 by exception in C9. 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