STARBOX

REASONING NOTE

When Is a Logic-Game Move Proven, and When Is It a Guess?

A logic game becomes easier to review when every move is classified before it is made. Some moves are forced by visible information, some test a limited possibility, and some are unsupported guesses. Code Breaker, Safe Mines, Number Detective, and Mini Sudoku express clues differently, but each rewards the same discipline: write down what the clue proves before deciding what it merely suggests.

Published and reviewed August 22, 2026 · Original Starbox analysis

METHOD & EVIDENCE BOUNDARY

What this note examined

We examined the documented clue outputs and completion rules for four Starbox games. The comparison uses exact-position and present-elsewhere counts, neighboring-mine totals, higher-or-lower bounds, and row-column-box constraints. Examples describe logical consequences of those rules; they do not reveal hidden random boards or promise that every generated position can be solved without uncertainty.

Translate every clue into a limited statement

A Code Breaker response of Exact 1 and Present 1 proves that two relationships exist: one guessed digit is correctly placed and another appears elsewhere. It does not identify which digits satisfy those relationships. Treating one attractive digit as confirmed creates a chain of unsupported assumptions. The next guess should preserve enough overlap to compare outcomes while moving positions deliberately. A useful clue is not the same as a complete answer; its power comes from combining it with another clue that separates competing explanations.

Use zeroes and completed counts as guarantees

In Safe Mines, a revealed zero proves that every valid adjacent cell is safe. A numbered cell can also become decisive when all of its required mines are already identified: its other covered neighbors are safe. Conversely, if the number equals the count of its remaining covered neighbors after known safe cells are excluded, those neighbors must be mines. Board edges matter because corners have only three possible neighbors and edge cells have fewer than center cells. Count only valid row and column neighbors.

Maintain an interval instead of chasing individual numbers

Number Detective gives higher-or-lower feedback for a secret from 1 through 100. After each clue, update the remaining inclusive interval. If 50 is too low, the new lower bound is 51; if 75 is too high, the upper bound is 74. Choosing the midpoint approximately halves the remaining possibilities. Random guesses may occasionally finish faster, but they discard the structure provided by the clue. The interval records exactly what is known and makes an accidental repeated guess easy to avoid.

Find the first unsupported move after a loss

Mini Sudoku combines three constraint sets: row, column, and 2×2 box. Before entering a value, list the row's missing values and eliminate candidates already present in the intersecting column and box. After an incorrect completion or a mine loss, reviewing only the final move is too late. Trace backward to the first placement or tap that was not forced by available information. That point—not necessarily the last click—is where the reasoning became uncertain and where a different method can help.

LIMITATIONS

What this article does not establish

Some randomized games can reach positions where the available information does not force a unique move. Calling such a move a guess is not criticism; it is an honest description of uncertainty. The note covers current Starbox rules, not every commercial game with a similar name.

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