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2023 IOQM/Problem 16

Revision as of 14:22, 1 May 2024 by L13832 (talk | contribs) (Created page with "==Problem== The sides of a convex hexagon <math>A_1A_2A_3A_4A_5A_6</math> are coloured red. Each of the diagonal of the hexagon is coloured red or blue. If N is the number of...")
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Problem

The sides of a convex hexagon $A_1A_2A_3A_4A_5A_6$ are coloured red. Each of the diagonal of the hexagon is coloured red or blue. If N is the number of colourings suhch that every triangle $A_iA_jA_k$, where $1\ge i\ge j\ge k\ge 6$ has at least one red side, find the sum if the squares of digits of N.

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