Can a Sudoku puzzle be unsolvable?


Introduction

Has anyone ever seen an unsolvable Sudoku? – Quora. Nope, it’s impossible. By definition, a Sudoku puzzle has one and only one solution. If you find something that looks like a Sudoku but has multiple solutions — or none — it is not an actual Sudoku puzzle.

Is Sudoku An NP?

The generalised Sudoku problem is an NP-complete problem which, effectively, requests a Latin square that satisfies some additional constraints. In addition to the standard requirement that each row and column of the Latin square contains each symbol precisely once, Sudoku also demands block constraints.

Solvability of Sudoku

All Sudoku puzzles are solvable only through logical deductions, with no guessing. Some hard Sudoku puzzles may require deductive techniques that you don’t know. Some very hard Sudoku puzzles may require techniques that are so complicated that no human can do them without taking extensive notes.

Who Invented Sudoku?

Maki Kaji TOKYO — Maki Kaji, the creator of the popular numbers puzzle Sudoku whose life’s work was spreading the joy of puzzles, has died, his Japanese company said Tuesday. He was 69 and had bile duct cancer.

Does Sudoku Increase IQ?

Practising a game like sudoku or using a brain training app might make you better at it but it won’t boost your IQ or general brain power, a study claims. High scores in the training game did not translate to higher scores in the final test, and people who ‘trained’ their minds did not perform better.

How Are Sudokus Generated?

Most puzzle generators use random assignment of numbers to cells (starting from a blank sudoku board) until the puzzle can be solved to produce one unique board. Puzzle solvers typically use one of two methods: backtracking (or brute force), and logical deduction similar to that used by a human.

Is Linear On?

An algorithm is said to take linear time, or O(n) time, if its time complexity is O(n). Informally, this means that the running time increases at most linearly with the size of the input.

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