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Contents

- 1 The Math behind Sudoku’s Y Wing Strategy
- 2 Sudoku Y-Wing Strategythat always works
- 3 How to spot the Y-wing technique in classic sudokus?
- 4 Y wing Theory 1
- 5 Y wing Theory 2
- 6 Five Y-Wings Demonstration
- 7 When Should You Use Y-Wing?
- 8 An illustration of a puzzle
- 9 When I’m trapped on a Sudoku puzzle, what should I do? Tips

__The Math behind Sudoku’s Y Wing Strategy__

__The Math behind Sudoku’s Y Wing Strategy__

* Sudoku* has become one of the most popular games in the world.

People play it on the internet, in newspapers, and even on airplanes when they’re bored.

If someone has some free time, they will most likely be playing Sudoku.

This math-based problem has enthralled the entire world, and most people are delighted.

If you’ve ever played, you’ve almost certainly reached the dreadful point where you can’t figure out is how to solve puzzles.

You could wipe everything and begin over, or you could give up.

You’ve started wondering if there are methods you can apply to better your Sudoku game, regardless of what level you’re at.

**Sudoku Y-Wing Strategythat always works**

If you have to start over, use a new strategy you haven’t tried before.

It could provide you with the unique outlook you require to complete the puzzle successfully.

While every problem has a solution, not everyone can solve it.

Sudoku is a strategy game that necessitates the development of skills.

If you have to restart, don’t be too frustrated. It’s all a natural part of the procedure.

Y wing is a fantastic candidate dropper.

The characterized by the fact that this resembles an X-Wing, but with three rather than four sides.

The player can be eliminated from the fourth corner, but it also leads to a lot more because we’ll do it in a minute.

You can use Y-wing tactics to help boost your odds of tackling the Sudoku problem, just like there are strategies for solitaire or mahjong.

To discover the methods and how they work, all it needs is some experience and research.

If you want to step up your game and give yourself a few well pats on the back, you’re in excellent hands here!

## How to spot the Y-wing technique in classic sudokus?

**Y wing Theory 1**

A, B, and C are 3 independent candidate integers in a rectangular configuration.

There are two possibilities in each of the three corners: AC, AB, and BC.

The key is in the AB cell.

If the answer to that cell is A, then C will undoubtedly appear in the bottom left-hand corner.

If AB is revealed to be B, C will make it into the top right-hand corner.

A complimentary pair is C.

Anything happens, C is assumed to be in one of the two C cells.

Both Cs can see the red C since the unit converges BC and AC.

There is no way a C can exist there, and this can be eliminated.

**Y wing Theory 2**

This illustration of a puzzle shows the area of influence that two example cells, designated red and blue, have.

All the erythrocytes are visible to X, while all the blue cells are visible to Z.

In this situation, two overlapping cells are ‘seen’ by both.

Our A, B, and C can see a lot more cells if they are more tightly aligned than merely the corners of both the rectangle they form.

Since they share the very same box in Figure 3, BC can see AB.

Because they are on the same row, AC can see AB.

All cells are designated with a red C which this Y-Wing can delete whenever number C is visible to BC and AC.

**Five Y-Wings Demonstration**

Another excellent ‘difficult’ Sudoku puzzle, this time with a chain of five Y-Wings, demonstrates the entire extent of this method.

The first three are shown below, but the remaining examples can be found by loading the riddle into the solver.

The initial Y-Wing locates an AB cell and A2 that connects 8 to the B3 pair and 3 at J2.

4 is shared with both pincer cells and must be placed whether in B3 or J2 so that 4 in H3 could be deleted.

Because of the placement in column 1, the next Y-Wing gets two candidates.

8s at B1 and C1 may see the 8s in A2 and G1, which are likewise in B1 and C1.

The pairing [4, 3] in J2 is related to such pincer cells.

The next stage will be included since it demonstrates a nice rectangular alignment resembling the theoretical figure.

You really cannot ask for a more illustrative example. 4 will go at B1 and D6; otherwise, 7 and 8 will be used up, and B6 will be empty.

Candidate 4 in D1 is the only one that can see the yellow particles and, therefore, should be eliminated.

**When Should You Use Y-Wing?**

Starting with a square with exactly two candidates, Y-Wing moves on to the next step.

This square is also known as a pivot or a hinge. The pivot is indeed the red square as shown in the figure below.

If any one of the two possibilities in the pivot makes a conjugate pair in 2 distinct units, you can apply Y-Wing.

Pincers are a term used to describe the two coordinates of conjugate pairs. The pincers seem to be the green squares inside the figure below.

However, Y-Wing can only be used if both pincers have precisely two numbers and one of the 2 numbers is the same across both pincers.

You may be able to get rid of this common number.

The Three inside the green squares are the identical number in the previous scenario. Because they each include a digit from the red square, the pincers reconnect the red square.

Seek for squares that both pincers can see.

You can eliminate the shared candidate from either of these squares if it appears in any of them.

Because both pincers in the preceding image can perceive the yellow 3, the yellow 3 can be eliminated.

**An illustration of a puzzle**

The Y-Wing Technique can be used to remove a 6 in the preceding interactive puzzle. Are you able to locate it?

The string of puzzles:

Continue to experiment with the tactics you’ve learned so far to see what works best for you.

Even the most skilled Sudoku solvers do not employ every strategy available.

Although there is only one answer to the problem, however, you do, that is all up to you.

It’s important to remember that this is designed to be a pleasant brain-teasing activity. Once you’ve mastered the fundamentals, you’ll be ready to take on higher difficulty levels and have a great time playing.

**When I’m trapped on a Sudoku puzzle, what should I do? Tips**

Here are a few more helpful tips for our readers.

- There aren’t many options accessible if you’re stuck on a puzzle. The best course of action is to delete everything and start over. You might start by removing rows or columns containing repeated numbers if you want to push yourself; it may lead to further frustration.
- While there is considerable debate among Sudoku fans about this, most believe that a proper Sudoku problem can never be solved. According to them, there is only one solution to a real Sudoku problem. If you’re working on an impossible Sudoku puzzle, it’s either a printing error or not a real Sudoku puzzle. It’s a Sudoku-style grid-based game.
- In most circumstances, a Sudoku puzzle has only one solution. If a prefilled problem contains many solutions, either the publisher committed a mistake or completed the puzzle wrong. However, if the puzzle remains blank, there are very certainly many solutions.
- Remember, you will not have to simply add or subtract anything in a Sudoku game because it doesn’t need arithmetic. You just need 9 symbols for a Sudoku game, and numbers seem to be among the most popular form. You might use shapes instead of numbers to get a similar type of puzzle with similar rules and outcomes. In addition, there are Sudoku variants that employ characters or symbols instead of numbers to provide variety to the game.
- This isn’t a surefire strategy to keep your game from getting unsolvable, but it’s a decent way to start. Sometimes all you need is a microfocus to see all that’s going on. “Slicing and slotting” might help you solve your Sudoku puzzle in this way.
- If a couple or 3 of numbers overlaps with another row, column, or square, that unit can be removed as a candidate. Another strategy for using the procedure of eliminating to arrive at an outcome is to do it carefully. This one simply requires a little more attention to the process grid than the previous tactics.

**Learn Also**

**Avoidable Rectangles**

**3d Medusa Sudoku Strategy**

## FAQs

### How do you spot y wings in Sudoku? ›

You have two possibilities for the position of one number in in a row say. And then in a different

**What is the trick to solving Sudoku puzzles? ›**

There are more than a few techniques to solve a Sudoku puzzle, but per Conceptis Puzzles, the easiest way to a Sudoku solution 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**.” If you're looking to ...

**How do you use the XY wing Sudoku? ›**

Here. I've got an 8 here and an 8 there and that is it's one of the things you go look for and in

**How do y wings work? ›**

The first Y-Wing finds the AB cell in A2 which links 8 with the pair on B3 and the 3 in J2. Common to both the pincer cells is 4 which must go in either B3 or J2 so 4 in H3 can be removed. The second Y-Wing gets two candidates because of the alignment in column 1.

**What is the triple rule in Sudoku? ›**

If three candidates can be found in only the same three Cells of a region (Row, Column or Square), then one of these candidates is the solution for the first of these Cells, a second one is the solution for the second Cell and the last candidate is the solution for the third Cell.

**What is a jellyfish in Sudoku? ›**

A Jellyfish is **where four columns have a candidate in only four different rows, or vice versa**. This is like an X-Wing or Swordfish expanded into four units.

**Is there a mathematical way to solve Sudoku? ›**

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.

**What is the 45 rule in 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 are the 10 steps to solving Sudoku? ›**

How to Solve Sudoku, in 10 Steps - YouTube

**What is XY-Wing elimination technique? ›**

XY Wing (sometimes called Y Wing) is **another advanced technique for eliminating candidates**. It starts by finding a cell with only two candidates (a bi-value cell) called the pivot. These 2 candidates are called X and Y. In our sample - R5C5 is the pivot, X=6 and Y=9.

### How can you tell an XY chain? ›

To use XY-Chain, **look for two bi-value cells (we'll call them "pincers") that can't see each other but that have at least one number in common (we'll call it the "shared number.")** In the example below, our pincers are light green, and both of them have the same candidates.

**What is the swordfish technique in Sudoku? ›**

The Sudoku Swordfish strategy is **a single-candidate technique that uses 3 rows and 3 columns**. This means the player only needs to focus on one digit. The grid must contain 3 rows or 3 columns where the digit is a candidate to only 2 or 3 cells.

**Who uses Y-wings? ›**

Here they are depicted as fighter-bombers used by **the Galactic Republic** in the Clone Wars against the Separatists. General Anakin Skywalker is shown leading a squadron of Y-wings on one of their first missions to take out a Separatist cruiser, where they are noted for their powerful shields and secondary gunner.

**Why did the Y-wing change? ›**

The Alliance modified their Y-wings by removing the hull and nacelle plating in order **to increase ease of maintenance on the aging craft**, which would enter the popular memory. Except for the cockpit variations, all ships in the BTL series were similar in design.

**Why are Y-wings stripped? ›**

By the Galactic Civil War, many Y-wings were stripped of their hull plating and engine nacelles, shortening their length to 16.24 meters, **for ease of maintenance**, as their older parts often broke down, and models that eliminated the gunner's turret had been introduced.

**How do you find hidden pairs in Sudoku? ›**

"Hidden pairs" technique works the same way as "Hidden singles". The only thing that changes is the number of cells and Notes. **If you can find two cells within a row, column, or 3x3 block where two Notes appear nowhere outside these cells, these two Notes must be placed in the two cells**.

**What is a hidden single in Sudoku? ›**

Hidden Single means that for a given digit and house only one cell is left to place that digit. The cell itself has more than one candidate left, the correct digit is thus hidden amongst the rest.

**Can all Sudoku be solved without guessing? ›**

The short answer is yes. **Every proper Sudoku puzzle can be solved without ever having to make a guess**. Another way of thinking about it is that every Sudoku puzzle can be solved logically. Even though it may require highly complicated solving techniques you're not familiar with.

**Does Sudoku help the brain? ›**

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].

**What is a unique rectangle in Sudoku? ›**

Unique Rectangle Type 1

**This strategy applies when the player finds four cells with the same pair of candidates facing each other**. They are grouped in parallel sets of two, sharing the same columns, rows, and blocks. This is a deadly pattern that results in a double solution for the puzzle.

### What is an empty rectangle in Sudoku? ›

The following technique was described by Rod Hagglund. If two lines (e.g., a row and a column) cover all possible places for a given digit in some box, then that digit cannot occur on both lines outside that box, since that would not leave any place for the digit inside the box.

**Can Sudoku have 2 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.

**Is there a pattern in Sudoku? ›**

**The essence of the standard sudoku pattern is threefold**: (a) a 9-by-9 grid of squares is divided into nine square sub-grids; (b) a set of nine distinct symbols is used, be they digits, letters, colors or shapes; (c) each row, each column and each sub-grid must contain each of the symbols exactly once.

**How do you solve Sudoku in 5 minutes? ›**

Learn Sudoku in Under 5 Minutes - YouTube

**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. Does it sound complicated?

**How do you solve the difficult killer in Sudoku? ›**

Killer Sudoku: How to solve the most difficult varieties - YouTube

**Is there a diagonal rule in Sudoku? ›**

Does sudoku go diagonal? The short answer is: no. **In regular sudoku there are no diagonal rules that state the two 9 cell diagonals must contain all the numbers 1 through 9**. There is however a variant of sudoku that does add this rule as an additional constraint: diagonal sudoku (also known as X sudoku).

**Is playing Sudoku good for you? ›**

Taking a stab at Sudoku is another working-memory training activity. It's like chess — while you're making a move, you have to think three or four steps ahead to your next move. And that's **good exercise for the brain**.

**What is an XY chain in Sudoku? ›**

1/An xy chain is in fact **a multi value X Cycle in three dimension, containing bi values cells only from one end to the other**. The strong links are located inside the bi value cells. The other links can be either strong or weak, except the links between m , which must be weak.

**What is a skyscraper in Sudoku? ›**

A Skyscraper is a simple pattern that occurs rather often in sudokus and can be easily spotted. It is nothing really new: A Skyscraper is **a special form of Turbot Fish and it can be seen as two Sashimi X-Wings**. The description of the pattern sounds more complicated than it really is: Concentrate on one digit.

### What are wings in Sudoku? ›

An X Wing is **a Sudoku solving technique that lets you reduce the number of candidates in particular columns or rows of the grid**. While X Wings aren't always required to solve Sudoku puzzles, knowing what they are and how to use them will help speed up your solves.

**What is strong link and weak link in Sudoku? ›**

So far the rough and ready distinction between Strong and Weak links is to do with how many candidates are in a unit — namely, **Strong links are formed when only two are present, while three or more imply a Weak link**.

**How do you play Chain Sudoku? ›**

Each puzzle consists of a group of circles arranged in a square grid and containing given clues in various places. **The object is to fill all empty circles so that the numbers 1 to 5 for 5x5 puzzles and 1 to 6 for 6x6 puzzles appear exactly once in each row, column and chain**.

**What is Knight's move Sudoku? ›**

Knight's move sudoku

That is, the same number cannot appear two cells vertically and one cell horizontally of another instance of itself and it cannot appear one cell vertically and two cells horizontally of another instance of itself.

**How many bombs can a Y-wing carry? ›**

Three repulsorlift engines aided in maneuvering. The weapons were located in the cockpit: two Taim & Bak IX4 or KX5 laser cannons along with two Arakyd Industries Flex Tube proton torpedo launchers each with a magazine of four torpedoes. The Y-wing could also carry **20 proton bombs**.

**Do Y-wings have Hyperdrives? ›**

The Y-Wing was far ahead of its time here. It's Class 1 hyperdrive made it one of the fastest ships in hyperspace during the Clone Wars. During the Galactic Civil War, this speed was still good enough for it to keep up with other Rebel fighters past light speed, and able to outrun most Imperial ships.

**How big is the Y-wing? ›**

It was 18.17 meters in length, 8.78 meters wide, and had a height of 2.85 meters. It was equipped with two Koensayr R750 ion jet engines which allowed it to have a max acceleration of 2,750 Gs, 80 MGLT, and an atmospheric speed of 1,050 kph.

**Do v wings have shields? ›**

These elite V-wings were modified for hyperspace travel and **equipped with upgraded shields**.

**Who was in the Y-wing that survived the first Death Star? ›**

**Versio** was in the process of locking onto Verlaine's Y-wing when the Death Star abruptly exploded. Verlaine was the only Y-wing pilot of Gold Squadron to survive the assault, and returned to the Rebellion's headquarters on Yavin 4 with the other survivors.

**Who flew the A-wing? ›**

A generation later, Resistance pilots such as **Tallie Lintra** flew a new A-wing model, the streamlined RZ-2, in battle against the First Order. Tallie's skill as a pilot made her a perfect fit for the ultra-fast fighter, which she flew capably in defending Resistance bombers above D'Qar.

### How do you draw a Star Wars Y-wing? ›

How To Draw An X Wing From Star Wars - YouTube

**What happened to the Tantive IV? ›**

During the battle, the Tantive IV was **destroyed by Darth Sidious' Force lightning attack**.

**What is Darth Vader's ship called? ›**

The mighty flagship of Darth Vader, the Executor led Death Squadron during the Empire's assault on Hoth and pursued the Millennium Falcon to Bespin, where Luke Skywalker and his friends narrowly escaped her tractor beams.

**What is an XY chain in Sudoku? ›**

1/An xy chain is in fact **a multi value X Cycle in three dimension, containing bi values cells only from one end to the other**. The strong links are located inside the bi value cells. The other links can be either strong or weak, except the links between m , which must be weak.

**What is W wing in Sudoku? ›**

W-Wings are easy to spot and often very efficient. **They consist of two bivalue cells with the same candidates, that are connected by a strong link on one of the candidates**. The other candidate can be eliminated from all cells seeing both bivalue cells.

**What is the swordfish technique in Sudoku? ›**

The Sudoku Swordfish strategy is **a single-candidate technique that uses 3 rows and 3 columns**. This means the player only needs to focus on one digit. The grid must contain 3 rows or 3 columns where the digit is a candidate to only 2 or 3 cells.

**What are hidden pairs in Sudoku? ›**

A Hidden Pair is basically just **a "buried" Naked Pair**. It occurs when two pencil marks appear in exactly two cells within the same house (row, column, or block). This time, however, the pair is not "Naked" - it is buried (or hidden) among other pencil marks.

**What is a unique rectangle in Sudoku? ›**

Unique Rectangle Type 1

**This strategy applies when the player finds four cells with the same pair of candidates facing each other**. They are grouped in parallel sets of two, sharing the same columns, rows, and blocks. This is a deadly pattern that results in a double solution for the puzzle.

**What is a skyscraper in Sudoku? ›**

A Skyscraper is a simple pattern that occurs rather often in sudokus and can be easily spotted. It is nothing really new: A Skyscraper is **a special form of Turbot Fish and it can be seen as two Sashimi X-Wings**. The description of the pattern sounds more complicated than it really is: Concentrate on one digit.

**How do you play Chain Sudoku? ›**

Each puzzle consists of a group of circles arranged in a square grid and containing given clues in various places. **The object is to fill all empty circles so that the numbers 1 to 5 for 5x5 puzzles and 1 to 6 for 6x6 puzzles appear exactly once in each row, column and chain**.

### What is a chute in Sudoku? ›

A chute is **a subdivision of the grid that encapsulates 3 boxes in a line**. A horizontal chute is known as a floor and a vertical chute is a tower. Chutes are isolated and inspected when scanning a Sudoku. They also play a role when a Uniqueness Test is performed.

**What is the 45 rule in 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 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. Does it sound complicated?

**Can you always solve a Sudoku without guessing? ›**

The short answer is yes. **Every proper Sudoku puzzle can be solved without ever having to make a guess**. Another way of thinking about it is that every Sudoku puzzle can be solved logically. Even though it may require highly complicated solving techniques you're not familiar with.

**Is there a mathematical way to solve Sudoku? ›**

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.

**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.

**Is doing Sudoku good for your brain? ›**

**Sudoku is a good cognitively stimulating leisure-time activity** [2]. 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].