Project Euler #189: Tri-colouring a triangular grid

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    It looks like the main issue here is to account of symmetry

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    Pls some1 tell me what is modulo 10^9+7 I

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    For this, if we're given 3 colors, are we allowed to use any 3! color choices? I.e. if we're given three colors, can we include just one, two of the three, and all three, or does it just need to be all three colors?

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    Why do I get wrong answer for some test cases while others are correct?

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    How to seprate identical and distinct colouring. I can't imagine. Any Hint will be appreciated