Android Edition • Pure Minimalist Deduction

Every move inverts the board.

A minimalist grid deduction puzzle designed for focus, logic, and clarity. Solve mathematically verified boards offline, or preserve progress with Google Play Games.

100% Deterministic Logic
Offline Local-First Engine
0 Accounts Required
Live Grid Simulator MOVES: 0 / 2

Board Cleared!

Solved in 2 moves • Perfect Target Score

Select any tile. Each touch inverts the tile and its orthogonal neighbors.
Mechanics

Pure Orthogonal Inversion

Three fundamental rules govern every board state, from small 3×3 grids to complex layouts.

RULE 01

Single Touch

Touching any tile toggles its state immediately. Active tiles switch off; dark tiles illuminate.

RULE 02

Cross Ripple

Inversion propagates in a cross formation, simultaneously toggling adjacent tiles to the top, bottom, left, and right.

RULE 03

Clear All Tiles

The objective is complete eradication of active tiles. Reaching a clear board within target moves secures a three-star rating.

Architecture & Design

Built Without Distraction

Engineered for focused play, respecting device battery and player attention.

Mathematical Determinism

Every level is algebraically verified via matrix inversion. Solutions are reachable through pure deduction without speculation or random trial.

True Offline Engine

Campaign progression, move counts, and level records remain stored locally on your device via Room Database and DataStore.

Daily Challenge Streaks

A synchronized puzzle unlocks globally each day. Complete challenges consecutively to establish verified streaks and unlock milestones.

Google Play Games Cloud

Optional cloud synchronization preserves your earned stars, level clearances, and achievements across devices via official Google Play Services.

One-Time License

Free with unobtrusive banner placements. A single, one-time in-app purchase removes all advertising permanently, with full restoration support.

OLED Dark Aesthetics

Deep black backgrounds paired with high-contrast active elements provide low-glare visibility and extended battery life during extended sessions.

Assistance

Frequently Asked Questions

Direct explanations covering gameplay, cloud synchronization, and privacy.

Yes. The entire core campaign, puzzle logic, move calculations, and preferences run locally on your Android device. An internet connection is only utilized if you choose to sign in to Google Play Games or sync achievements.

Open The Last Tile, navigate to Profile > Settings, and tap "Restore". As long as you are signed into the Google Play Store with the purchasing account, the ad-free license restores automatically.

Yes. Board arrangements are validated during level generation to guarantee non-zero solution vectors in linear Galois field arithmetic.

We collect zero personal identification information. We do not require accounts, phone numbers, or contacts. Local puzzle progression is saved to private on-device storage. Third-party advertising identifiers are managed under Google Play's standard privacy framework.