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- The objective of Sudoku is to fill a 9x9 grid made of squares (shown above circled in blue) so that each row, each column, and each full 9x9 square use the numbers 1-9. While solving the sudoku puzzle you can only use each number one time in the square, column, and row.
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Jun 25, 2023 · How To Solve A Sudoku Puzzle. To embark on your Sudoku-solving journey, it’s crucial to understand the rules of the game. The objective is simple: fill the entire grid with numbers from 1 to 9, ensuring that no row, column, or region contains duplicate numbers. Remember, each number can only appear once in each region, row and column.
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- Notation. Writing down possible numbers for each cell lets you see your options. Since numbers can only appear once in each row, column, and 3 x 3 box in the puzzle, the candidates you can put in the empty squares are limited.
- Sole candidate. If only one number fits in a cell, then it has to go there. After you fill in your notation, you might find some obvious cells to fill in that you missed earlier.
- Naked and hidden pairs. Cells with 2 numbers in the same row, column, or box limit other cells. Check for 2 cells in the same row, column, or box that can only contain the same 2 possible numbers, which is known as a “naked pair.”
- Naked and hidden triples. Triples have only 3 possible numbers that could fit into the 3 cells. All 3 cells have to be in the same row, column, or box.
While solving the sudoku puzzle you can only use each number one time in the square, column, and row. Columns and rows are not limited by the thicker boundaries of the square (also sometimes called a region.)
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Mathematics can be used to study Sudoku puzzles to answer questions such as "How many filled Sudoku grids are there?", "What is the minimal number of clues in a valid puzzle?" and "In what ways can Sudoku grids be symmetric?" through the use of combinatorics and group theory.
Point is, despite Sudoku being a number puzzle, there are many ways to solve Sudokus without needing any math or arithmetic. In fact, you could replace the numbers 1 to 9 with some other kind of symbol, such as letters, or even colors, and the fundamental logic of the Sudoku rules would still apply.
Each of the numbers 1-9 must appear once in each region, i.e. no duplicates and no repeats in any given region. This is an example of a starting Sudoku puzzle - we have some given numbers already. The aim of the puzzle is to fill all the missing numbers.
Apr 4, 2024 · While the rules for Sudoku puzzles are relatively simple—fill a 9x9 grid with digits from 1 to 9, ensuring each row, column, and 3x3 subgrid contains all the numbers without repetition—your daily Sudoku can vary in difficulty fairly widely from day to day.
