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An equilateral triangle with side length 33 is divided into 33^2 smaller unit equilateral triangles each with side 1, forming a...Asked by Sambaran G.
An equilateral triangle with side length 33 is divided into 332 smaller unit equilateral triangles each with side 1, forming a triangular lattice. We color each segment of length 1 either Red, Blue or Green, subject to the condition that each small unit equilateral triangle has 3 sides with either 3 different colors or all the same color. If there are N distinct ways to color this triangle, what is the value of ⌊log9N⌋?