Results of the actions taken shown below. DS in both R4C2 and R4C3 [7,8] by reduction of [2,6] in R4 from possible digit subset [2,6,7,8] in left middle major square. R4C8 1 by reduction of 8 from DS [1,8] -- R5C8 8 by exception in right middle major square. By this parallel scan for 5 on empty cells of row R2, only one cell R2C5 is left placing digit 5. Move around the grid frequently. Specifically important is the disallowing of digit 5 in the empty cells of C3. If a square is incorrect, it will be marked as such. But how? 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. Because of the Cycle (6,7) in R7, reduced possible digit subset in three empty cells of R7 is [1,4,9] -- breakthrough R7C3 4 by DSA reduction of [1,9] from DS [1,4,9]. AFRAID INCOME LAGOON STYLUS AFFECT DUPLEX. Starting the solution process, first valid cell success by row column is for 2: R8C7 2 by scan for 2 in R9, C8, C9 -- R7C1 2 by scan for 2 in R8, R9. R2C8 7 by DSA reduction of 4 in C8 from DS [4,7] -- R2C7 4 by exception in R2 -- R3C8 9 by scan for 9 in C7 -- R3C7 1 by exception in R3 -- R5C7 7 by exception in C7 -- R5C8 1 by exception in R5. The . More Sudoku hard puzzles you may like to solve and learn how to solve. This makes the digit invalid in any other cell in the row or column in which the digit is locked. Abdlomax 3 yr. ago This eliminates the cell R6C1 for any of the two digits. 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). Enjoy also learning how to solve Sudoku hard in easy steps. About New York Times Games. This is a breakthrough by single digit lock and DSA. 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. Okay, continuing to identify more possible single digit locks and breakthroughs, with focused intent it doesn't take much to identify a second single digit lock this time on 1 in cells R8C8, R8C9 by scan for 1 in R9, C7. These puzzles are Before going through the solution solve the puzzle first. 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. $(1, 3, 6) \cup (3, 4, 7, 9) \cup (1, 3, 5)=(1, 3, 4, 5, 6, 7, 9)$. JUMBLE. To be able to solve a Sudoku puzzle in a short time you should know how to use the pencil to trace the board. Well not disturb the Cycle of (6,8) for better understanding of what happened at this stage. Section below explains in a bit of detail the process of enumerating digits possible in a cell. To solve quickly you need to concentrate. Step by step solution to the New York Times Sudoku Hard 17th February, 2021: Stage 1: Breakthroughs by Double digit scan, Parallel digit scan and and Cycles First valid cell by row column scan is for 5: R4C2 5 by scan for 5 in R5, R6. This is how we get a breakthrough valid cell R8C7 8 by parallel scan. Take cell R2C5. By the way, Sudoku hard solution techniques are included with many of the solutions. Breakthrough R3C3 4 by DSA reduction of [3,7,8,9] from possible digit subset of [3,4,7,8,9] -- R3C7 8 by reduction from DS [4,8] -- R1C7 4 by reduction and exception in top right major square. By Jack Tamisiea An elephant's trunk has 40,000 muscles and weighs more than a Burmese python. Strategy adopted: start with row column scan coupled with aggressive breakthroughs by advanced Sudoku techniques. With this basic concept in place start row column scan for the lowest digit 1 and continue the process till a digit is finished or ends in a block of no more success. 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). We can say with 100% certainty that these three digits will be placed in the final solution in only these three cells and nowhere else. How to solve the Sudoku hard is explained clearly including all the breakthroughs. With [6,9] in R6, R6C7 2 by reduction -- R4C8 3 by reduction --- R4C7 8 by reduction and exception in R4. R2C3 3 by row column scan for 3 in R1, R3, C2 -- R6C7 3 by scan for 3 in R4, R5, C9 -- R8C8 3 by scan in C7, C9. An often asked questions is, "What makes a Sudoku puzzle hard?". Three digits appear in in the column in only these three cells and nowhere else. 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. R7C1 2 by DS reduction of [1,4,6] in C1 from possible digit subset DS [1,2,4,6] in four empty cells of R7. Description- Self Solving Sudoku- Slice and Dice- Locked Candidates Pointing- Locked Candidates Claiming- Pairs- Locked Candidates Pointing- New York Times S. As a subscriber, you have 10 gift articles to give each month. Once a few cells are filled in a zone, enumerating the rest gets easier. R6C1 7 results in R9C2 7 by scan for 7 in C1 -- R9C1 5 by exception in bottom left major square. We eliminate repeated digits when considering digits of two or three zones together. If you are alert for detecting a parallel scan opportunity, breakthrough would be much quicker. If we get one, we should get usually a breakthrough in one step or two. Bur that would have been time-taking. Now do a parallel scan for 1 in empty cells of column C6 to get the valid cell R1C6 1. Cycle (4,7) in R1C4, R1C6 in top middle major square and in R1 by reduction of [8,9] in R1 from possible digit subset [4,7,8,9] in top middle major square -- R1C3 5 by exception in R1 as the only cell left for 5. 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. 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. In the new paper, Dr. Getzin and his colleagues noted that termites were conspicuously missing from their study sites, and that they found no signs of root damage in grass that died after rainfall . If you cannot logically place a value in a cell then do not place that value in a cell. No further challenges left. Wordle players can use these five hints to solve puzzle #500. Target is to get two-digit possibilities first. Sunday Los Angeles Times crossword Sunday New York Times crossword Sunday Premier crossword SUDOKU. But by DSA we get the valid cell, R8C2 9 by reduction of [1,5,7] from bottom left major square DS [1,5,7,9] -- R8C3 1 by reduction of [5,7] in R8 from DS [1,5,7] in bottom left major square. Nevertheless, a distinction between hard, medium and easy Sudoku categories can be made. Enjoy solving Sudoku hard. With 9 in R8C2, R8C9 4 by reduction -- R8C9 4 by reduction -- R9C9 9 by reduction. This is a breakthrough that otherwise couldn't have been achieved. Solution to New York Times Sudoku hard, 15th February, 2021 explains step by step how to use Sudoku hard techniques to achieve quick breakthroughs. Observe how the other four empty cells of C6 have been disallowed for 1 by scan for 1 in R2 (disallowing R2C6 for 1), Cycle (1,8) in R6 (disallowing 1 in R6C6), single digit lock in R8 (disallowing R8C6 for 1) and 1 in R9 (disallowing R9C6 for 1). By the double digit scan, first the Cycle is formed and then the valid cell R6c1 4 by reduction of [1,8] because of the property of the Cycle. R2C9 2 by DSA reduction of [1,4,9] in R2 from DS [1,2,4,9] in C9. This is a major breakthrough and we'll see its effects in the next stage. 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). 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. These are rough figures drawn from experience. In early 2022, we proudly added Wordle to our collection. Nevertheless, a distinction between hard, medium and easy Sudoku categories can be made. R6C5 3 by scan for 3 in R4, R5, C4 -- R8C6 3 by scan in R7, C4, C5. Reduction of instances of 6 from all such empty cells is the gain. Consider the row column cross-scan: With digit 5 in R4C2, and R7C9, 5 can appear only in two cells R8C3 and R9C3 of bottom left major square Thus the digit 5 is locked in C3 as well as in the parent major square. 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. R5C3 9 by reduction of 3 -- R4C3 2 by exception in C3. In easy ones it can be 36 or more. To skip the section, click here. In this case for example, after you put 5 in R2C5, a Cycle of remaining four digits [4,6,7,8] is formed. Next R1C8 7 by scan for 7 in R2, R3, C9 and that's all by row column scan at this point. 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. Because of the series of early breakthroughs by advanced digit patterns, the Sudoku hard could be solved rather easily. Its very easy to lose track You never need to guess anything on Sudoku. 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. 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. 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. 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. Set union is technical, but this we do by common sense and do naturally. This is the quick method of parallel scan for digit 8 on empty cells of the row R8. 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]. With only 24 filled up cells this New York Times Sudoku hard puzzle is fairly hard. Since the launch of The Crossword in 1942, The Times has captivated solvers by providing engaging word and logic games. Step by step solution to the New York Times Sudoku Hard, 16th February, 2021: Stage 1: Breakthroughs by DSA technique and Cycles. Since the launch of The Crossword in 1942, The Times has captivated solvers by providing engaging word and logic games. The joy of discoveries will then all be yours. Next valid cell R5C6 6 will be shown in next stage. This is similar ro normal row column scan which is carried out on the empty cells of a major square. 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. An interesting property of a valid cell by parallel digit scan is, there will always be an associated Cycle after you put the valid digit in its identified cell. It a Sudoku hard rich with learning potential. A possible digit subset DS [2,6] already exists in R6C3 as a part of easily formed digit subset in two empty cells of R6. R4C9 9 by parallel scan for 9 on empty cells of C9: 9 in R2 eliminates R2C9 for 9 leaving R5C9 for 9 -- R2C9 5 by reduction -- R4C7 5 by scan for 5 in R5, C8. How debt-for-climate swaps can help solve low-income countries' fiscal and environmental challenges at the same time With 1 in R7C1, R7C7 5 by reduction -- R9C7 1 by reduction -- R9C4 5 by exception in R9 -- R7C4 9 by exception in whole game. This creates an opportunity for us to apply advanced technique of double digit scan to get a valid cell hit. Single digit lock on 4 in R2C2, R3C2 by scan for 4 in C1 -- DS in R7C2 [1,4] is reduced by 4 by the lock on 4 in C2 resulting in R7C2 1 -- R8C9 1 by scan for 1 in R7 -- R8C3 4 by scan for 4 in C1, lock on 4 in C2. No more digits can be placed by this simple method of row-column scan at this point. An easy catch by opportunistic scan for 9: R9C9 9 by scan in R7, R8. R1C7 2 by scan for 2 in R2, R3, C8 -- R1C8 6 by scan for 6 in R2, R3. With 1 in R1C6, R3C5 2 by reduction -- R1C5 8 by reduction -- R2C6 4 by reduction -- R9C6 8 by reduction caused by the Cycle (3,9) formed in R6C6, R8C6. For full enjoyment, avoid looking into any solution as well as the answer. There is no metric or measurement to decide for sure that a Sudoku puzzle is hard, or not so hard. Hint #1: The word contains three vowels (madness isn't it) one of which, in a different word structure, could be a consonant. 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. In medium or easy Sudoku puzzles, number of filled up cells will be more. With 6 in R1C5, R1C6 2 by reduction -- R1C1 5 by reduction -- R1C4 8 by reduction. First valid cell by row column scan is for 5: R4C2 5 by scan for 5 in R5, R6. 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. By possible digit analysis we have the DSs in R4C3, R5C3 and R6C3 as [1,6], [1,6,7] and [1,6,7]. This leaves the single cell R2C1 for 3 and the byproduct Cycle of (5,6,7) in the other three empty cells of C1. The New York Times publishes three puzzle challenges every [] The New York Times regularly publishes a number-based puzzle game called NYT Sudoku. Fill as many cells as you can by row-column scan. Anyone can read what you share. R1C3 3 by DS reduction of [1,6] from DS [1,3,6] in R1 -- R1C9 6 by reduction -- R1C1 1 by exception in R1. This is a hard Sudoku puzzle that needed multiple breakthroughs by advanced Sudoku techniques. If yes, then we have provided all the NY Times Sudoku Answers. Solving a puzzle with a pen is a very different beast than using software that can fill and track pencil marks, highlight all cells with a given candidate and support non destructive cell highlights for chains. 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. Description- Self Solving Sudoku- Slice and Dice- Locked Candidates Pointing- Pair- New York Times Sudoku Hard October 31, 2022- Repeat from 20 August 2017- . With 9 in R4C9, R4C1 8 by reduction of 9 from possible digit subset of [8,9] in C1 -- R5C1 9 by exception in C1. It is in three zones or areas - row R2, column C5 and 9 cell top-middle major square. 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. R5C5 7 by DSA reduction of [1,5,8] from DS [1,5,7,8] in C5 -- R6C4 4 by DS reduction of [3,8,9] in C4 from DS [3,4,8,9] in R6. With 6 in R6C9, R7C9 4 by reduction -- R7C7 6 by reduction and exception in C7. Nevertheless, a distinction between hard, medium and easy Sudoku categories can be made. In the process we may get valid cells, but otherwise our lookout is for identifying for a single digit lock by cross scan. Most important breakthrough at this stage finally has been provided by the single digit lock on 6 in R8C2, R8C3. 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. Because of the series of early breakthroughs by advanced digit patterns, the Sudoku hard could be solved rather easily. Select a Word Game to learn more: Wordle. This reduces [1,5] from DS [1,5,7] to produce a major breakthrough of R9C1 7. Be VERY careful about your notes. With 1 in R5C6, R3C6 9 by reduction -- R3C4 1 by exception -- R7C6 6 by reduction. Instead, the parallel digit scan is carried out on the empty cells of a row or a column. In 2014, we introduced The Mini Crossword followed by Spelling Bee, Letter Boxed, Tiles and Vertex. Because of this locked status of the digits in the cells involved in the Cycle, all occurrrences of these locked digits in zones containing the Cycle are reduced. Turning attention first on promising zone C6 we get the breakthrough DS [6,8] in R5C6 by DSA reduction of [1,2,9] from column C6 DS [1,2,6,8,9]. As a strategy we always start row column scan from digit 1 and continue till digit 9. We don't bother about other digits appearing in these two cells. With 5 in C2, C6, C8, C9 and in C3 by single digit lock, digit 5 can be placed in R2 only in the single cell R2C5. No more easy valid digit 3 possible at this point. 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. It can also be helpful to mark the columns and rows with pencil marks to work through elimination methods. Never let go of an effective single digit lock. But when you face a Sudoku hard, valid cell by row column scan may be few or non-existent to start with. If Costner's 1989 baseball movie had featured zombies, it could have been called - FIELD OF "SCREAMS" (Distributed by Tribune Content Agency) We are not certain at this point which of the two digits will finally occupy which of the two cells, but taking the two cells together, we are certain that digits [1,8] will certainly occupy these two cells and in no other empty cell in parent zones R6 and left middle square. 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. 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. The elimination of four empty cells for 5 in row R2 is shown by red arrows in the Stage 2 solution figure below. Learn more about how to play The New York Times' word games and logic puzzles: Wordle, Spelling Bee, Letterboxed, Tiles, Vertex, and Sudoku. 3 in bottom left major square eliminates R7C1 for 3 and 3 in R1 and R3, eliminate the other two empty cells R1C1 and R3C1 for 3. Hint #2 . 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 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. Alternately, if R4C3 6, digut [1,7] will appear in eithe of the cells R5C3, R6C3. In this case we get the breakthrough of R9C2 6 by scan for 6 in R7, R8 and C1, 6 in R7 being actually a lock on digit 6. With 7 in R4C3, R1C3 3 by reduction -- R1C2 7 by reduction. So only the two missing digits (2, 8) are valid for the cell R2C5. With 4 in R1C8, R5C8 9 by reduction -- R5C7 4 by reduction -- R3C7 9 by exception in C7 -- R3C8 9 by exception in whole game. R6C2 2 by reduction of 2 by the Cycle (1,6,7) in left middle major square -- R6C6 9 by reduction -- R3C6 8 by reduction -- R2C4 9 by reduction -- R3C1 7 by reduction -- R8C1 5 by reduction -- R8C2 7 by reduction. 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. Next breakthroughs by forming Cycle (8,9) in R7C, R7C9 by DSA reduction in both cases by [5,7] from possible digit subset [5,7,8,9] in four empty cells of R7. As a byproduct the leftover two digits [1,8] form a Cycle of (1,8) in R6C2 and R6C3. For example, in this case, reduction of 7 from DS of R6C2 gives us a valid cell hit as R6C2 2. Every such easy fill at this stage is a bonus. Both digits 1 and 8 appear together in column C1 but not in any cell of the left major square. Step by step solution to the NY Times Sudoku Hard 4th March, 2021 Stage 1: Breakthrough by Single digit lock, Parallel digit scan, DSA and Cycles. Digit possibilities for empty cells are enumerated ONLY WHEN NECESSARY. Identify a second Single digit lock on 5 in R9C5, R9C6 by scan for 5 in R7, C4 -- R9C1 3 by possible digit DS elimination of 5 (because of single digit lock on 5 in R9) from possible digit subset [3,5] in R9C1 (because of [1,4] in C1). 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. Printable Sudoku New York TimesPrintable Sudoku New York Times - There are many number of ways that to use Printable Sudoku Puzzles. You can include the QR code to any puzzle that is 9x9, for instance, to make it unique. To start with, R4C9 1 by DSA reduction of [4,9] in R4 from reduced DS [1,4,9] in C9 -- R8C8 1 by single digit lock partner reduction of 1 in R8C9. Because of this effect of limiting the digits inside the Cycle, the possible digit subset in the column C3 is reduced to [3,4,7,8,9] and this creates the breakthrough in R3C3 4 by DSA reduction of [3,7,8,9] (with [8,9] in parent top left major square and [3,7] in second parent R3) from DS [3,4,7,8,9] in C3. With 3 in R8C6, R8C7 7 by reduction -- R9C7 3 by reduction -- R8C5 6 by reduction -- R9C5 7 by reduction. 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
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