Consider a function f: N → N that represents the amount of work done by some algorithm as follow:   f(n) = {(1 if n is oddn if n is even)┤    Prove or disprove. f(n) is O(n).   Please show proof or disproof

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Consider a function f: N → N that represents the amount of work done by some algorithm as follow:

 

f(n) = {(1 if n is oddn if n is even)┤ 

 

Prove or disprove. f(n) is O(n).

 

Please show proof or disproof

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