Question

Is it possible to arrange all the numbers from `1` to `100` in a row such that the difference between any two adjacent numbers is at least `50`? If so, provide an example; if not, prove why.

Difficulty level (1 very easy - 10 very hard): 2

Topics:
Number Theory Logic -> Reasoning / Logic Proof and Example -> Constructing an Example / Counterexample
Sources:
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