The Fraction Game

You are given several fractions that can be modified according to certain rules:

  1. The number replacing a given one must have strictly smaller denominator, or,
  2. If the denominator is already 1, it must have numerator strictly smaller in absolute value

    There are two players: Left and Right. A replacement is only legal for Left if it decreases the number, legal for Right only if it increases the number. You choose to be either Right or Left and may force your computer to go first by presseing You move button. All numbers in the game are modified by clicking a little off their center line. Clicking on the right increases the number, clicking on the left decreases it. To perform a move, select a fraction, adjust it to the desired value and press the I move button.

    The game has two parameters. #Numbers is the number of fractions in a game. Max is the absolute maximum number that may appear in the numerator or denominator of a game.

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