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added 152 characters in body

edited Oct 29, 2023 at 20:40

R, 62 60 bytes

function(n,y=outer(1:n,2:n,"^"))c(max(y[y<=n]),min(y[y>=n]))

Brute force approach: generate all powers of 1..n raised to 2..n and find and return least upper bound and greatest lower bound.

answered Oct 29, 2023 at 2:02