Can Killer Sudoku have multiple solutions?

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. There are examples of rank-3 Sudoku puzzles with 17 givens that are well-formed.

How many solutions can one Sudoku puzzle have?

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).

How do you know if a Sudoku has multiple solutions?

A sudoku can have multiple or unique solution based on the clues and their positions in the grid. If a sudoku has less than 17 clues then it will definately have mutliple solutions. But if it has 17 or more clues it can have unique or multiple solutions based on the clues positions.

What is the 45 rule in Killer Sudoku?

The 45 Rule

An essential Killer Sudoku solving technique is the "45 rule". This uses the fact that every row, column and block must contain each of the numbers 1 to 9 once. Therefore, the total of all numbers in one row, column or block will always be 45.

What is the rule of Killer Sudoku?

Each row, column, and nonet contains each number exactly once. The sum of all numbers in a cage must match the small number printed in its corner. No number appears more than once in a cage. (This is the standard rule for killer sudokus, and implies that no cage can include more than 9 cells.)

Tips And Tricks For Killer Sudoku

Is Killer Sudoku good for the brain?

Solving Killer Sudoku online has a lot of benefits. Daily Killer Sudoku sessions are said to help you train your brain, improve memory, concentration and logical thinking. If these practical reasons aren't enough for you, Killer Sudoku is a fun time-killer too!

What to do when stuck in Killer Sudoku?

If you get stuck when solving killer sudoku, or even right at the start, look for instances where you can apply the rule of 45 to make progress or possibly just narrow down the possible values for squares.

Can numbers repeat in a killer Sudoku cage?

Numbers cannot repeat within cages. Numbers cannot repeat within a single row, column or 3x3 region.

What is the hidden triple rule in Sudoku?

"Hidden triples" applies when three cells in a row, column, or 3x3 block contain the same three Notes. These three cells also contain other candidates, which may be removed from them.

What is the average time for Killer Sudoku?

Don't complicate it and just enjoy the game. I play sudoku on my iphone, sudoku genina, it takes about 4 to 15 minutes to solve the extreme level of sudoku. Normally it takes 4–6 minutes, but the really hard ones sometimes take 15 minutes to be solved.

Does every Sudoku have only one solution?

Sudoku is a number puzzle consisting of a 9 x 9 grid in which some cells contain clues in the form of digits from 1 to 9. The solver's jobs is to fill in the remaining cells so that each row, column and 3×3 box in the grid contains all nine digits. There's another unwritten rule: the puzzle must have only one solution.

Can all Sudoku puzzles be solved 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.

Can you solve Sudoku mathematically?

In fact, mathematical thinking in the form of logical deduction is very useful in solving Sudokus. The most basic strategy to solve a Sudoku puzzle is to first write down, in each empty cell, all possible entries that will not contradict the One Rule with respect to the given cells.

Is there a pattern in Sudoku?

Patterns are essentially a series of completed numbers (either givens or numbers that have been filled in) in a specific order in one of the boxes on the sudoku grid. Patterns help you organize the remaining numbers and eliminate possibilities in a box, and in related boxes, rows and columns.

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.

What is a swordfish in Sudoku?

A Swordfish is a 3 by 3 nine-cell pattern where a candidate is found on three different rows (or three columns) and they line up in the opposite direction. Eventually we will fix three candidates somewhere in those cells which excludes all other candidates in those units.

How many levels are in Killer Sudoku?

A Year of Killer Sudoku — 365 Puzzles, 5 Levels of Difficulty: No 1: Genius, Puzzle: 9798533124256: Amazon.com: Books.

What is the last possible number rule in Sudoku?

Last possible number is a simple strategy that is suitable for beginners. It is based on finding the missing number. To find the missing number you should take a look at the numbers that are already exist in the 3x3 block you are interested in, and in the rows and columns connected with it.

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.

What is a Nonet Sudoku?

Nonet – Another term for the boxes or regions of a Sudoku. In some variants nonets are not equally shaped. Proper Sudoku – A Sudoku with one solution. Sudokus are always expected to be proper Sudokus unless the puzzle setter specifies otherwise. Region – Another term for the boxes of a Sudoku.

Why is it called Killer Sudoku?

Killer Sudoku is a variation on normal sudoku. All the typical sudoku rules apply: each digit must appear exactly once in each row, column, and box. But in addition, there are these things called "killer cages" with a little number in the top lefthand corner. The digits in these cages must add to the provided number.

How do you reset Killer Sudoku?

Is Sudoku high IQ?

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.