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function(n,y=outer(1:n,1+12:n,"^"))c(max(y[y<=n]),min(y[y>=n]))
Try it online!Try it online!
Brute force approach: generate all powers of 1..n raised to 2..n and find and return least upper bound and greatest lower bound.
1..n
2..n
function(n,y=outer(1:n,1+1:n,"^"))c(max(y[y<=n]),min(y[y>=n]))
Try it online!
function(n,y=outer(1:n,2:n,"^"))c(max(y[y<=n]),min(y[y>=n]))
