1. Show that nlogn is Ω(n).2. Show that ⌈ f(n)⌉ is O(f(n)), if f(n) is a positive nondecreasing function that is always greater than 1.3. For each function f(n) and time t in the following table, determine the largest size n of a problem P that can be solved in time t if the algorithm for solving P takes f(n) microseconds (one entry is already completed).
1. Show that nlogn is Ω(n). 2. Show that ⌈ f(n) ⌉ is O(f(n)), if f(n) is a…
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