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1000 Point Star

Logic puzzles require you to think. You will have to be logical in your reasoning.

 

Puzzle ID:#32838
Fun:*** (2.16)
Difficulty:**** (3.18)
Category:Logic
Submitted By:lessthanjake789*us******
Corrected By:cnmne

 

 

 



Typical "stars" are drawn in connected, but not repeated, line segments. For example, a 5-point star is drawn as such - line segments AC, CE, EB, BD, DA. The segments must always alternate a constant number of points (in the above case, skipping 1 point in between).
Given the information that there is only 1 way to draw a 5-point star, and that there is NO way to draw a 6-point star (in continuous lines, that is), and there are 2 ways to draw a 7-point star, how many different ways are there to draw a 1000-point star?





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