#Pigeonhole principle and graph theory high school question
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my bad
for a proof, you can write out the main idea of what you're thinking
you can write your idea in words too
Why would you say this needs pigeonhole principle?
well a proof for why a loop forms is easier than the rest of the parts
consider a path that starts at P1. then it must go to some point P2, then it must go to P3 and on and on till Pn. Since a k doodle has a finite number of points, that Pn has to end up being a prior point. We can't just infinitely keep having more points