In other words, if the candidates within a block are all in the same row, that value can be excluded from the other available squares throughout the row. In such a case, regardless of the ultimate position of the candidate value in the block, the value cannot appear in any other available squares in the same row (or column) in the other blocks. While scanning the Sudoku grid to locate the potential squares for a particular candidate, you may find that all the available squares in a block are in the same row (or column). Indirect elimination is an extension of direct elimination. This is why these singletons are called "hidden."Ĭonversely, the "hidden singleton" is often easy to find by systematically scanning the numbers and blocks, as the position is dependent solely on the position of the number in question in the neighboring blocks and on whether the squares of the block in question are available or filled in. Marking potential values in the cells is of limited assistance when looking for hidden singletons you will still need to scan the entire "region" to check that the value being sought appears as a candidate value only once. The more frequently a value appears in the Sudoku grid, the easier it is to search for the hidden singleton as position constraints increase, the number of possible positions decreases. 9)?" If a number candidate appears only once in the region in question, then this must be the value for the cell. When searching for a "hidden singleton", the question to ask is: "In this region (row, column, or block), which squares could potentially accept a 1 (2, 3. Moreover, many governments encourage people to play Sudoku because the game is considered to have a significant role in preventing age-related diseases (especially Alzheimer's).īasic Method for Solving a Sudoku Puzzle Principle In recent years, Sudoku's incredible rise in popularity and rapid introduction in international newspapers have made it the favorite puzzle game of the 21st century. In general, the more numbers that are provided at the outset, the easier the puzzle will be to solve, and vice versa, though there are some exceptions. The grids we publish are ranked in terms of their difficulty from 1 (easiest) to 5 (most difficult). The attraction of the game is that the rules are simple, yet the line of reasoning to solve the puzzle is complex. Any set of distinct symbols will do letters, shapes or colors may be used without altering the rules of the game. The numerals in Sudoku puzzles are used solely for convenience arithmetic relationships between them are irrelevant. After all, Sudoku isn't just a game it's a philosophy and a lifestyle where beauty and harmony are the top priority! Some of our grids took weeks of computing to develop and we are therefore proud to be able to offer you these symmetrical, single-solution puzzles. Even though it is infinitely more complicated to create symmetrical grids, especially those guaranteed to have a unique solution, we only design Sudoku grids that feature this type of symmetry. This visual harmony is highly sought after among the most avid Sudoku players. There is also an unwritten rule that the beauty of a Sudoku grid lies in the symmetrical distribution, on either side of the grid's two diagonals, of the numbers provided at the start. Designing a grid therefore requires careful attention, because even one misplaced number would make the puzzle impossible to solve. As in the case in many logic games, there can only be one answer. Although it is easier to design grids with multiple solutions (or no solution at all), these cannot be considered true Sudoku puzzles. We guarantee that all of our Sudoku grids have a unique solution. Millions of people play Sudoku every day!īy definition, a valid Sudoku grid must have one (and only one) solution. This explains why Sudoku has become a true global phenomenon. There are no calculations involved it is entirely a game of logic, so you don't have to be a mathematician to solve Sudoku grids. At the start, certain numbers are provided in the Sudoku grid, which serve as clues to help the player gradually solve the entire puzzle.Īnyone can play Sudoku. The object of the game is to fill in the Sudoku grid with a series of one-digit numbers, each of which appears only once in a given row, column, or 3x3 block. This fun, easy-to-understand puzzle game has captured the fascination of humans for nearly 3,000 years.
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