# Minimax

## Rules

This game is played in two rounds, starting with an empty eleven-space board. Red always goes first.

On Red's board (i.e, duing the first round), Red's job is to maximize the value of the expression; Blue's job is to minimize it.
Players take turns placing the fourteen symbols `0123456789+-×÷` on the board, with the maximizing player taking the first move.

A board's syntax must always be valid. Namely, the following rules are enforced:

-   Each symbol may only be used once
-   The binary operators `+-×÷` may not be next to one another, and may not be at the end slots.
-   The unary operator `-` (negative) must have a number as an argument. Therefore, it cannot be left of an operator (like `-×`), and it may not be in the rightmost slot.
-   `0` may not follow `÷`. This prevents most cases of zero-division, but isn't perfect. `÷-0` will break the game, and `÷0_+` is forbidden despite being valid syntax once the empty slot is filled (for example, with `÷03+`). This is done to simplyify game logic, and might be improved later.

## Building

See `build.sh`.