T(n)
: running time of Algo A. We just care about the upper bound and lower bound of T(n)
The statement: T(n) >= O(n^2)
Upper bound: Because T(n) >= O(n^2)
, then there’s no information about upper bound of T(n)
Lower bound: Assume f(n) = O(n^2)
, then the statement: T(n) >= f(n)
, but f(n)
could be anything that is “smaller” than n^2
, Ex: constant, n,...
, So there’s no conclusion about lower bound of T(n)
too
=> The statement is meaningless
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