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Hiding the flags makes it too easy to accidentally leave the game in an unsolvable state. Since the colours that cover the flags don't seem to mean anything too much guesswork is involved with trying to get a good rating. Would suggest showing the flags at all times and having it simply be a puzzle game.

Thank you for your comment Reign.
Our first idea was that the gameplay be a metaphor to discover what your true gender and feelings. First of all pieces have a color, a random color and then after a specific time, they will be what they are. If you take the piece with the right mouse button and move near other piece that it like, its time goes fast and it discovers the flag faster.
Maybe you are right to show the flags at all times in order to be a good puzzle game.
We will continue to develop Gendertrix and trying your suggest. :)