# Solve Discrete Math Problems Online Free latest 2023

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## Introduction to Sudoku

Have you ever played with a Rubik’s Cube? You may have mastered the Rubik’s cube and are looking for a bigger challenge. Try the puzzle game called Sudoku. Sudoku is a number placement puzzle that requires logical skills and patience. It is a fantastic puzzle game that can be found in newspapers, books, and on puzzle and game websites.

How to play Sudoku?

The Sudoku puzzle consists of a series of grids. The grids include a large 9 x 9 grid that houses nine smaller 3 x 3 grids. The object of the game is to place a number from 1 to 9 in each of the grid cells. You don’t have to worry about finding the sum of numbers in rows, columns, like in Magic Squares.

No add-ons are involved; however, three conditions depend on each other and must be met. Each number from 1 to 9 can only appear once in each column, once in each row and once in each small 3 x 3 grid. Mathematically, Sudoku puzzles are a derivation of Latin squares.

The famous mathematician Leonard Euler created the Latin squares. They are an integral part of discrete mathematics. Basically, a Latin square consists of an nxn array filled with numbers, letters, or symbols. Each symbol can only appear exactly once in each row and exactly once in each column. Sudoku grids take the Latin square one step further with the smaller 3×3 grid constraints. The fact that you have to ensure that each small 3×3 grid contains each number 1-9 only once increases the complexity of the puzzle considerably.

Sudoku puzzles come in different levels of difficulty. The amount of numbers given initially in the 9 x 9 matrix varies. You might think that the more numbers you are given at the start, the easier the puzzle will be to solve. This is not always the case as the “placement” of the numbers has a profound effect on the complexity of the puzzle.

Where do Sudoku puzzles come from?

Sudoku is the Japanese word for “placement puzzle”. Sudoku swept through Japan in the mid-1980s. Before that, however, a puzzle maker in the United States named Howard Garnes created the first such puzzle in 1979. It was called “Number Place” instead of Sudoku . It was published in Dell Magazine Math Puzzles and Logic Problems.

How do you solve a Sudoku puzzle?

Good question! The key is to have patience and use your logical skills. Don’t just use a trial and error method. Many players construct their own puzzle-solving techniques and methods, which they share on online Sudoku players’ forums.

You can start anywhere in the puzzle, but as a beginner start by focusing on the first three smaller 3×3 grids. Look at the initial numbers and start with the number “1”. Check to see if a “1” appears in the other two smaller 3×3 grids. Then find cells in these smaller grids where you can optionally place a “1” while respecting the rules. You will also need to consider the 3 x 3 grids that are attached to the given grid. It’s like dancing on eggshells, but the key is to look for patterns. Logically, you have to prove why a number has to go in a certain cell.

Sudoku is a tricky puzzle game that will sometimes feel like you’re going in circles. However, practicing on different puzzles will help you figure out which techniques work and which ones lead you to a dead end. The beauty of the game is that there are a large number of Sudoku puzzles to solve. Time yourself. Many puzzle solvers can complete a puzzle in 10-30 minutes. Get out your stopwatch and see how fast you can solve a Sudoku puzzle.

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