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- Sudoku XY-Wing Solves Difficult Sudoku Puzzles
- Techniques for Solving Sudoku Puzzles
- The Math Behind Sudoku
- 6 Advanced Sudoku Strategies explained

*When one hears that no math is required to solve Sudoku, what is really meant is that no arithmetic is required. The puzzle does not depend on the fact that the nine placeholders used are the digits from 1 to 9. Any nine symbols would serve just as well to create and solve the puzzles.*

## Sudoku XY-Wing Solves Difficult Sudoku Puzzles

Advanced Sudoku strategies are used in the hardest levels of these puzzles and they can either help to reduce candidates or to find the solution for a specific cell. Regardless, their application always demands high levels of concentration from the player as they work by deduction. The X-Wing method is one of the most basic advanced Sudoku strategies. It can also be applied in some intermediate levels, although its incidence is very low in these cases. Its goal is to eliminate candidates. The player can use this strategy when there is one candidate repeated in four cells that form a square or rectangle when mentally connected by row and column.

Sudoku has become a very ubiquitous game in our world. This math-based puzzle has taken the world by storm and the vast majority of people are thrilled about that. Maybe you erase and start over, or maybe you just give up. Just like with solitaire or mahjong there are strategies out there that you can use to help increase your chances of solving the sudoku puzzle. It just takes some practice and research to figure out what the strategies are and how they work. Before you pick up your pencil or open your app, take some time to read about the strategies and tips here. No one becomes a sudoku genius overnight but these strategies will definitely help.

## Techniques for Solving Sudoku Puzzles

Sudoku grid consists of 81 squares divided into nine columns marked a through i, and nine rows marked 1 through 9. The grid is also divided into nine 3x3 sub-grids named boxes which are marked box 1 through box 9. The easiest way starting a Sudoku puzzle is to scan rows and columns within each triple-box area, eliminating numbers or squares and finding situations where only a single number can fit into a single square. The scanning technique is fast and usually sufficient to solve easy puzzles all the way to the end. The scanning technique is also very useful for hard puzzles up to the point where no further progress can be made and more advanced solving techniques are required. Here are some ways of using scanning techniques:.

If those methods prove to be too easy or you master those techniques, feel free to move on to the Moderate Tips & Guides or Advanced Tips & Guides. Page 2.

## The Math Behind Sudoku

Sudoku is a game of pure logical deduction, just like Kakuro and other Japanese number puzzles. Unlike games of luck such as card and bingo games , guessing is never required. Techniques explained here include:.

Your ability to identify and solve this pattern will often break the logjam and lead you to the solution of a challenging Sudoku game. In this article, I use two of my hand crafted very difficult puzzles that have a known XY-Wing pattern. If you would like to try to solve the first puzzle, download and print out this PDF Sudoku very hard puzzle 13 and follow along.

### 6 Advanced Sudoku Strategies explained

Look for the easy play first: When you first start to play a Sudoku puzzle, look for where you have the easiest opportunities to add a number. Usually this is where there is a crowded square or a row that is almost full of numbers. Sometimes, especially on the Easy-rated Sudoku puzzles, you can quickly use process of elimination to figure out where to place a number. For example, if there is a square that already has numbers , you know that you only need to figure out where to put numbers 8 and 9. Look at the rows that feed into that row or square — sometimes you will be able to eliminate one number or the other, and can quickly fill in the gaps. If a number already exists in a row or square, then that number cannot be placed again. For example, if the top row of a Sudoku puzzle already has the numbers 1, 7, 8, 5, 9 and 2, this means that the row still needs numbers 3, 4, and 6.

These will require your logical reasoning abilities to be able to solve these indirect relations. Get Results in as Little as 14 Minutes! The basic layout of the Sudoku grid is much like a chess game or crossword puzzles. After you have tried all the easier strategies and find no new squares to solve single possibility, only square, excluded hidden twins, naked twins, excluded subgroup , it may be worth looking out for Swordfishes.

#### How Is Sudoku Played?

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Техники обнимали друг друга, подбрасывая вверх длинные полосы распечаток. Бринкерхофф обнимал Мидж. Соши заливалась слезами. - Джабба, - спросил Фонтейн, - много они похитили. - Совсем мало, - сказал Джабба, посмотрев на монитор. - Всего лишь какие-то обрывки, в полном виде -. Фонтейн медленно кивнул и улыбнулся одними уголками губ.

Tips and Methods for Solving Sudoku Puzzles. FREE CUSTOM PDF BOOKLET · SEARCH A A sudoku puzzle comprises 9 rows, 9 columns and 9 block.

One of the greatest aspects of Sudoku is that the game offers engaging challenges to both the novice, as well as the seasoned puzzle player.

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no matter what level of puzzle you are attempting, there are a few strategies that will allow you to get to same trick with the 3−8−6 in row. 2 to see if this triplet.

Backtracking, simulated annealing, and alternating projections are generic methods for attacking combinatorial optimization problems. Our results favor.