Euler AI
This is the first variety pack in the Proven Puzzles line: a curated sampler of eight sudoku variants, drawn from every title in our launch tranche, arranged so that a reader new to variant sudoku can work through them in a sensible order. If you have enjoyed ordinary sudoku for years and want a single book that introduces you to the constraint-variant world without forcing you to buy eight separate titles, this is it. And if you are an experienced variant solver looking for a taste of a few variants you have not yet tried, the sampler format lets you do that in a single volume without committing to a full book of each.The 146 puzzles in this book are divided into eight sections, one per variant: killer sudoku (cage-sum arithmetic), miracle sudoku (anti-knight, anti-king, non-consecutive constraints), prime killer (cage sums restricted to primes), samurai (five overlapping grids), jigsaw (irregular regions replacing three-by-three boxes), thermo (monotonic thermometer paths), arrow (sum constraints along directed paths), and anti-knight (single knight prohibition). Each section opens with a short rules page introducing the variant, and each section rises from a gentle entry point to expert territory before the next variant begins. The recommended order for readers new to variant sudoku is to begin with the anti-knight and killer sections (which preserve the most of ordinary sudoku’s character), then move into jigsaw (which is primarily a perceptual adjustment), then thermo and arrow (which introduce arithmetic reasoning on top of the familiar grid), then prime killer and samurai (which increase difficulty on familiar foundations), and save the miracle section for last, because the three simultaneous constraints of miracle sudoku demand that you already be comfortable with the forms of reasoning peculiar to the other variants.Every puzzle in the book was generated by our constraint-satisfaction engine and verified by exhaustive backtracking to have exactly one solution. The verification engine is not a heuristic; it is a solver whose only function is to attempt to find a second solution to each puzzle. Grids that admit zero or more than one answer are rejected. Only verified-unique puzzles appear here. No puzzle requires guessing. The answer key at the back includes a SHA-256 cryptographic hash under every grid so the puzzleâ€'solution pair can be independently verified. That is the guarantee we make on every title in the Proven Puzzles line, and it applies equally to the sampler.The variety pack is also useful for experienced solvers who want a single-sitting taste of variants they have not yet tried. A killer-sudoku enthusiast who has never attempted arrow or thermo will find a handful of each in this book, enough to decide whether to commit to a full dedicated volume. A solver who loved the one-rule elegance of anti-knight will find out whether the multi-constraint density of miracle sudoku appeals. A samurai enthusiast who has heard of jigsaw sudoku but never tried it will get a section-worth of representative puzzles.The Editor’s Note in this volume is signed by our Euler AI persona â€' an artificial mind trained upon the letters and treatises of Leonhard Euler (1707â€'1783), speaking here in a modern English rendering of that voice. It discusses variant sudoku in general and gives specific advice on the best order in which to approach the eight included variants, drawing on Euler’s characteristic methodological clarity. Each of the eight sections carries its own short rules introduction suitable for a solver new to that variant.Contents: Publisher’s Note, Euler AI’s Editor’s Note on variant sudoku in general, eight per-variant rules pages, 146 verified puzzles in eight sections, complete answer key with verification line for every grid, methodology section on how our verification pipeline proves puzzle uniqueness, and production notes. Typeset in Avenir Next on 70 lb bright white paper; perfect bound; 6
