Results of the actions taken shown below. This breakthrough gives us two more valid cells, R3C7 8 by reduction from DS - R1C7 4 by reduction and exception in top right major square. in two cells of C3 forms a Cycle in which the two digits get locked and thus disallows appearance of 2 and 6 in any other empty cell of C3.īecause of this effect of limiting the digits inside the Cycle, the possible digit subset in the column C3 is reduced to and this creates the breakthrough in R3C3 4 by DSA reduction of (with in parent top left major square and in second parent R3) from DS in C3. Now in addition, a third possible digit subset of is formed in R8C3 by DSA reduction of from possible digit subset in R8. Explanation on how Cycle (2,6) is formed in C2 and how it results in a breakthroughĪ possible digit subset DS already exists in R6C3 as a part of easily formed digit subset in two empty cells of R6. R6C5 3 by scan for 3 in R4, R5, C4 - R8C6 3 by scan in R7, C4, C5.Ĭycle (2,6) in two empty cells R6C3, R6C4 and DS in R8C3 by DSA reduction of from possible digits in R7 - a breakthrough Cycle (2,6) formed in R6C3, R8C3.īreakthrough R3C3 4 by DSA reduction of from possible digit subset of - R3C7 8 by reduction from DS - R1C7 4 by reduction and exception in top right major square. Reduced DS in two empty cells in C8 is - R2C8 2 by reduction of 9 by R2 - R2C1 8 by reduction - R2C7 6 by reduction - R2C4 3 by exception in R2. R6C9 4 by DSA reduction of from DS - R6C7 7 by reduction - R5C9 9 by exception in right middle major square - R3C9 3 by exception in C9. It reduces the possible digit subset DS in right middle major square to - breakthrough valid cell R6C8 5 by reduction of (with in C8 and 9 in C6) from DS - followed by R7C8 3 by DSA reduction of from DS in C8 - R7C9 7 by reduction of from DS. Let's see the effect of this Cycle (1,8). Instead of scanning the promising empty cells of a major square FOR A SINGLE DIGIT, in a double digit scan, the promising empty cells of the right middle major square are scanned for TWO DIGITS (1,8) TOGETHER - Cycle (1,8) formed in R4C8, R5C8 in C8 and parent right middle major square. This creates an opportunity for us to apply advanced technique of double digit scan to get a breakthrough Cycle (1,8). Observe that the two digits appear together in R6 and also in C9, but do not appear in the right middle major square. Advanced Sudoku technique of double digit scan Step by step solution to the New York Times Sudoku Hard 20th February, 2021: Stage 1: Breakthroughs by Double digit scan, DSA technique and Cyclesįirst success by row-column scan: R8C8 4 because of 4 in R7, R9 - R9C9 2 by scan for 2 in R7, C7. The New York Times Sudoku Hard, 20th February, 2021īefore going through the solution solve the puzzle first. How to solve the Sudoku hard is explained clearly including all the breakthroughs. Solve New York Times Sudoku hard Februin quick steps. That this is a hobby site, and is not affiliated with Nextoy nor their brands.How to Solve the New York Times Sudoku Hard 20th February, 2021 with step by step explanation Of these names, "KenKen" and "KenDoku" are trademarks of Nextoy LLC. The "no-op" puzzles are sometimes called "Mystery Calcudoku". Minuplu, LatinCalc, Yukendo, ArithmeGrid, Hitoshii, Inky, SquareLogic, TomTom, and if you know of any other names, let me know :-). This type of puzzle is known as Calcudoku, Newdoku, Rekendoku, MathDoku, Kashikoku-Naru, KenKen, Kendoku, Sumdoku, Calkuro, K-Doku, Keen, NekNek, CanCan, Square Wisdom, Emono, You can also solve the puzzles on the iPhone/iPod Touch/iPad.Įvery puzzle has a single solution. You can also use the a, b, and c keys to enter 10, 11, or 12. Press 1 then 0, or 1 then 1, or 1 then 2 to enter 10, or 11, or 12. In the largest puzzles (10x10 Calcudoku puzzle (every Tuesday and Friday) and 12x12 (every Sunday and Thursday)), simply Shift + number : enter the number as a guess.You can solve the puzzle on the page using the arrow and number keys, or using the mouse. Note that for subtraction and division the order is not fixed (!) The operation applied to the numbers in the cage should Thick border) shows a result and an operation ( + - × or :)
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