The Best Way To Solve Anti Knight Sudoku Puzzles: The L Technique

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You may be familiar with Sudoku and its addictive nature. Still, you may not know that there is an Anti Knight Sudoku puzzle. Take a look at this Anti Knight Sudoku puzzle that helps you get rid of the sudoku addiction!

Contents

Introduction

This puzzle is the opposite of a Knight’s tour puzzle.

A Knight’s tour is a puzzle where you move a chess knight around the board, visiting every square only once.

In an Anti Knight Sudoku, you must see squares in this order: 1, 2, 3, 4, 5, 6, 7, 8, 9.

Most Sudoku puzzles need you to fill in the empty squares with the numbers 1 – 9 within each column, row, and 3 3 boxes.

In this anti-knight game, on the other hand, you’re striving to do the reverse by scoring a 9 in every area.

The anti-Knight sudoku puzzle was created by Nob Yoshigahara, a Japanese puzzle master, first published in his book “Sudoku: The Art of Detective.” It’s a more challenging version of the classic Sudoku.

Anti-knight Sudoku is a Puzzling type in which the player places characters just on-grid one by one rather than aiming to place numbers 1-9 in every row, column, and cube as in traditional Sudoku.

The Objective of Anti Knight Sudoku

Anti Knights Puzzles’ goal is to fill all grids with the numbers 1 and 9, ensuring no column, row, or three-by-three box has more than one.

The goal of Anti Knight Sudoku is to fill up the grid with numbers so that the total of the digits in each row, column, and 3×3 grid equal one.

The difference is that in Anti Knight Sudoku, the knight’s motions are restricted.

The objective of the Anti knight sudoku puzzle game is to connect all points on a board with lines without any crossings.

All non-convex boards need to be covered with a knight’s tour, or a closed set of knight moves, in the minimum number of moves.

It is inspired by the mathematical puzzle of the same name.

The objective of this game is to connect all points on a board with lines without any crossings.

It is a fun logic puzzle game not just for kids but for grownups too.

How to play Anti Knight Sudoku

Some of the squares in the puzzle have been completed.

Players try and fill in the missing squares in just such a manner, so each row, column, and the 3-by-3 box includes all of the numbers 1 – 9, with no repetitions.

There are many different ways to play anti knight sudoku.

One way is to fill in the numbers from left to right and top to bottom.

If you make a mistake, you can erase it with a rubber band or a tissue.

L technique to solve Anti Knight Sudoku

The L approach is a simple crossword puzzle approach that does not need requirement constraints.

It is based on the idea that each row, column, and the three-three box should only include the digits 1 through 9.

The first step is to identify the two numbers in the row or column in the same position in both the left-most and right-most columns (or rows).

The next step is to find all the squares in the row or column that contain one of these two numbers.

L is a technique to solve the Anti Knight Sudoku Puzzle game.

L is a straightforward technique to apply to the Anti Knight Sudoku puzzle game.

It is based on the same principle applied in the main technique, known as (the R technique).

There are multiple methods and techniques to solve the Anti-knight sudoku puzzle: the L-technique.

A Sudoku puzzle is solved using the L technique to fill in all possible numbers for each row and column.

We have updated the pencil marks for the grid. Now let us look at the possibilities for number 8 in box 5. When we look at it, we see the possibilities for the number 8 to form an L shape.

Now, let us draw a reverse L shape extending to two cells on either side from the junction point of the original L shape. This reverse L shape is marked by green lines in the next picture.

Since the number 8 has to be in one of the three cells in the original orange colored L. It can never exist at the green L. Hence the possibility of number 8 can be removed from these two cells. So we safely removed 8 and placed 9 there.

First, the idea is to solve the top-left and top-right corners (black cells).

This is done by making the empty cell (white cell 1) in the top-right corner equal to the number of white cells in the top-left corner that are not adjacent to a black cell, as shown in figure 2.

This is step 8 since there are 7 white cells.

The empty cell in the top left corner = 7 – 1 = 6.

Now do the same with the empty cell (white cell 2) in the top-left corner.

This step is called “the dual-stage chromatic number” (step 6). So, C(18,6) = 18 × 6 = 108. white cells in the bottom two corners.

The empty cell (white cell 3) in the bottom left corner = 6 – 2 = 4.

The technique is relatively easy and can solve any anti-knight puzzle.

The L Technique works by moving all candidates in a direction that ensures no conflicts with other equally valued candidates in the same row, column, or box.

Rules to solve Anti Knight Sudoku using L technique

There are a few simple rules to solving Anti knight sudoku puzzles:

Fill in the knights first. The knights are the pieces that move in an L-shape, and they can only move in the direction that the arrow is pointing.
Once the knights are in place, fill in the other pieces one at a time.
Use the L technique to help you solve the puzzle. The L technique solves Sudoku puzzles that involve taking two numbers and turning them into a letter. The letter will help you find other numbers that belong to an exact position.

1) Fill in the empty squares with the digits 1 to 9 in a row, column, or block where each digit occurs only once.

2) If a number is already present in a cell, its anti-knight number (the number that appears as its complement when the digits are reversed) must be entered into the corresponding cell in the anti-knight grid.

Advantages to using the L technique for Anti Knight Sudoku

The L technique has a few advantages for solving Anti knight sudoku puzzles.

The first is that it is very fast and efficient.

Once you have mastered the technique, you can solve any puzzle in just a few seconds.

Secondly, it is a very accurate method, so you are less likely to make mistakes.

Finally, it is a very systematic approach, so you can ensure that you have checked all the possibilities.

It is more efficient than the regular technique and reduces the chances of making mistakes.

The advantages of the L technique for anti knight Sudoku can also be the following three:

L rows, columns, and blocks can each be solved independently of the others;
No extra cells are needed to solve the cell where the knight is to be located;
The minimal number of L moves required to solve a cell with a knight under L control depends only on the number of cells in the same row and column, not on the values of those cells.