# Sudoku : Puzzle Game

by Quang Hai Nguyen

***What is Sudoku?

### App Details

Version
1.0
Rating
NA
Size
26Mb
Genre
Puzzle Board
Last updated
December 20, 2018
Release date
December 20, 2018

### App Store Description

***What is Sudoku?

A Sudoku puzzle is defined as a logic-based, number-placement puzzle. The objective is to fill a 9×9 grid with digits in such a way that each column, each row, and each of the nine 3×3 grids that make up the larger 9×9 grid contains all of the digits from 1 to 9. Each Sudoku puzzle begins with some cells filled in. The player uses these seed numbers as a launching point toward finding the unique solution.

It is important to stress the fact that no number from 1 to 9 can be repeated in any row or column (although, the can be repeated along the diagonals).

***What Defines a True Sudoku Puzzle?
For a puzzle to be a true Sudoku puzzle, it can have one (and only one) solution. There can be no ambiguity in Sudoku. Each number has a single location it must reside in. Otherwise, the player is forced to guess which location to choose thus changing the puzzle into a game of chance.

***Sudoku Puzzle Variants
There are many variations on Sudoku including Mini Sudoku, Cross Sums Sudoku, Killer Sudoku, and Wordoku. We will not cover such variations here.

***The Rules of Sudoku
While solving Sudoku puzzles can be significant challenge, the rules for traditional solution finding are quite straight forward:

Each row, column, and nonet can contain each number (typically 1 to 9) exactly once.
The sum of all numbers in any nonet, row, or column must match the small number printed in its corner. For traditional Sudoku puzzles featuring the numbers 1 to 9, this sum is equal to 45.
This is an important point to review as it isn’t uncommon for inexperienced players to get frustrated and to abandon the techniques we will lay out below. Don’t do it! In order to solve Sudoku puzzles reliably, you must be disciplined, focused, and patient.

How to Solve Sudoku Puzzles
There are two main techniques one can use to solve a Sudoku puzzle; Crosshatching and Penciling In. These two techniques are simple, straightforward, reliable, and sufficient in solving most standard Sudoku puzzles.

It is important to understand that all Sudoku puzzles require an iterative approach. Except for in the case of the most simple puzzles, players will have to visit each nonet more than one time. Fortunately, each successive application of the solution techniques yields more completed cells.

***Crosshatching
To begin with we will want to use the Crosshatching technique. With this technique, a player considers a single nonet (a single 3×3 square) and attempts to fill in empty cells based on the fact that a number can only appear once in any row or column. By looking across each row and down each column, we can determine if a number can or cannot go in a cell. Let’s look at an example to help illustrate the Crosshatching technique.

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