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EventHorizon's post in The shortest way from A1 to B1 was marked as the answer
Some unnecessary code:
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EventHorizon's post in n^5 has the same last digit as n was marked as the answer
Proof 1: Modulus 10
Proof 2: Modulus 5
I have a third proof idea... I'll see if I can flush it out later.
Are you a math professor/researcher? If not, where do you find / get inspiration for these?
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EventHorizon's post in Miscellaneous logic puzzle from exam was marked as the answer
I looked at that for a while. Though it's not much, here's what I got...
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EventHorizon's post in Interesting one - A Cat and A mouse was marked as the answer
(Hint: don't look for the curve, just examine the distance between them and how it changes with time)
I'll try (again) to find the equation for the path in a bit.
Edit: I thought I'd include the last equation I got, but kept failing to verify. So I don't know it if is correct.