# Siddharth's Paths

A grasshopper starts on the origin of the complex plane. Each second, if the grasshopper is at the point $$(m,n)$$ it jumps to $$(m+6,n+9)$$ or $$(m+9,n+6)$$. How many different paths are there for the grasshopper to land on the line $$x= 36$$?

This problem is posed by Siddharth P..

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