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Can a Sudoku be impossible without guessing?

Can all Sudoku puzzles be solved without guessing? According to Sudoku Of The Day, “Sudoku is a puzzle involving logic—no arithmetic or guessing is required!” While you can, guess, of course, if your guess is wrong, it will throw off the rest of the puzzle and you'll need to start over.
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Is there always a possibility in Sudoku?

Realistically, no! There are 6,670,903,752,021,072,936,960 possible solvable Sudoku grids that yield a unique result (that's 6 sextillion, 670 quintillion, 903 quadrillion, 752 trillion, 21 billion, 72 million, 936 thousand, 960 in case you were wondering). That's way more than the number of stars in the universe.
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How do you solve a seemingly impossible Sudoku?

How to Solve Hard Sudoku Puzzles
  1. 1 Use a pencil.
  2. 2 Note potential candidates in open squares.
  3. 3 Scan the board to process the puzzle.
  4. 4 Start with the obvious singles.
  5. 5 Revisit your candidates after you solve singles.
  6. 6 Identify naked or hidden pairs.
  7. 7 Move on to triples and quads.
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Why are some Sudoku impossible to solve?

Multiple Correct Solutions

Another example of a puzzle that can not be solved is when it has multiple legitimate solutions. Following all the rules you end up with two or more different solutions from the same starting squares.
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How do you know if Sudoku is solvable?

Solvable A sudoku puzzle is solvable if there is only one way to fill in a sudoku board to make it valid. Cell A cell is a position on the Sudoku board. Cells contain cell values and pencil-marks (denoted by (n, {a, b, ..., j}) with n the value of the cell and {a, b, ..., j} the set of pencil-marks).
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Can You Solve Any Sudoku Puzzle Without Guessing

How long does it take the average person to solve a Sudoku puzzle?

It is believed that the average Sudoku player spends approximately 20 minutes solving a typical Sudoku puzzle. For very hard puzzles, that number can be much higher. While the game itself can be challenging and complex, several strategies can be used successfully to find the solution.
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Can Sudoku have 2 answers?

A well-formed Sudoku puzzle is one that has a unique solution. A Sudoku puzzle can have more than one solution, but in this case the kind of logical reasoning we described while discussing solving strategies may fall short.
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What is the 45 rule in Sudoku?

The 45 rule is a basic solving-technique in Killer Sudoku. Each house (row, column, nonet) must add to 45 (the sum of the digits 1 through 9).
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Do you need high IQ for Sudoku?

Do you need a high IQ for Sudoku? Sudoku does not require a high IQ to solve. It is a game of logic and strategy, not intelligence. So while a high IQ may make it easier to solve difficult puzzles, it is not a requirement.
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Are you smart if you can solve Sudoku?

From this case study it can be concluded that an individual who is skilled at solving Sudoku puzzles likely has a high general IQ. The results of the weak correlation between Sudoku scores and the WAIT test indicates that in some cases a high Sudoku doesn't necessarily mean a high general IQ.
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What is the secret to solving Sudoku?

5 Best Tips for Playing Sudoku
  • Look for the Easy Solutions. Many puzzles will leave one or two blanks either in a line or in a box. ...
  • Seek the Missing Numbers. ...
  • Keep Scanning the Entire Puzzle. ...
  • Constantly Re-Evaluate the Grid. ...
  • Be Patient and Enjoy the Hunt.
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What is the one rule in Sudoku?

Sudoku Rule № 1: Use Numbers 1-9

Within the rows and columns are 9 “squares” (made up of 3 x 3 spaces). Each row, column and square (9 spaces each) needs to be filled out with the numbers 1-9, without repeating any numbers within the row, column or square.
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What are the 3 rules of Sudoku?

What are the 3 rules of Sudoku?
  • Each row should have numbers 1-9, no repeats.
  • Each column should have numbers 1-9, no repeats.
  • Each 3x3 quadrant should have numbers 1-9, no repeats.
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Is there math behind Sudoku?

To solve a Sudoku puzzle, one needs to use a combination of logic and trial-and-error. More math is involved behind the scenes: combinatorics used in counting valid Sudoku grids, group theory used to describe ideas of when two grids are equivalent, and computational complexity with regards to solving Sudokus.
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Does Sudoku keep brain sharp?

Sudoku requires attention of the subject to analyze the grids and fill in the numbers; basically it requires no math but is based on logic [1]. Solving puzzles has long been thought to keep the brain healthy [2] and has been shown to delay the onset of dementia [3].
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Are mathematicians good at Sudoku?

Myth: You must be good at math to play Sudoku

Sudoku is not a “math” game, it's a logic game. Many people who are good at math often find that they are also good at Sudoku, but that doesn't necessarily mean that “only” good mathematicians will be good Sudoku players.
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What type of person is good at Sudoku?

Orderly, Methodical Mind

The best Sudoku players know how to cut through the visual clutter of a Sudoku grid and start scanning immediately for the most valuable clues and information that they need – they know how to apply a process to the Sudoku grid where they can see which places are the most promising.
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When you are stuck in Sudoku?

Check your puzzle for 3 separate rows or columns where a potential digit can only fit into 2 or 3 cells in each. You should be able to connect the cells if you drew lines through the columns and rows. After you connect all of the cells you can erase the potential candidate from any other cells in those rows or columns.
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What type of intelligence is Sudoku?

Sudoku is an informal practice available outside academia that trains fluid intelligence but not crystallized intelligence. Sudoku is a shortcut for training fluid intelligence that bypasses the necessity for science and math courses which don't appeal to all humans and are unavailable to many.
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Is 6 minutes good for Sudoku?

5 minutes is more than enough time to jump start your brain, re-evaluate your Sudoku strategy, and develop a new perspective on how to view the Sudoku grid. So “take 5” and give yourself a new chance at solving Sudoku puzzles!
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What is the rule of two in Sudoku?

The game of Sudoku consists of a grid of nine rows and nine columns subdivided into nine 3x3 subgrids. It has two basic rules: Each column, each row, and each box (3x3 subgrid) must have the numbers 1 to 9. No column, row or box can have two squares with the same number.
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What is Sudoku 4 cell rule?

Rules of Quadruple Sudoku

The object of the puzzle is to fill in the whole 9x9 grid with numbers 1 through 9 (one number per cell) so that each row, each column, and each of the nine 3x3 boxes contains all the nine different numbers 1 through 9. The clues are in the form of sets of four special clue-numbers.
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Can the same number be in the same spot in Sudoku?

Sudoku puzzles cannot have the same number twice in any row, column or box (container). You can take advantage of this by using deduction to determine (1) which numbers are missing, and (2) where the missing numbers go.
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