When evaluating the complexity of a loop, all statements in the loop body are considered to be O(1). A. True B. False

A loop body is controlled by the following statement: for (int count = 2; count <= n; count +=2) If the statements in the body of the loop are all O(1), what is the order of the loop? A. O(1/2) B. O(1) C. O(n) D. O(n^2) E. O(2^n)

Suppose that a loop executes n times. The loop contains a method call whose order is O(n^2), and some other statements that are O(1). From a complexity standpoint, the order of the loop is A. n B. n^2 C. n^3 D. {(n^2)}^n E. (n)^{n^2}

Which of the following statements is FALSE about Big O notation?Group of answer choicesIt can be used to compare the efficiency of different algorithmsIt ignores constant factors.It considers only the dominant/leading term as the input size grows.It represents the worst-case time complexity.

A) Big-O notation and loop invariants1. Let g(n) be a function. For each of the following statements, mark in the answer sheetswhether it is correct (true = correct, false = incorrect).(a) Θ(g) = {f (n) : There exist positive constants c1, c2 and n0 such that0 ≤ c1 · g(n) ≤ f (n) ≤ c2 · g(n), for all n ≥ n0}(b) Θ(g) = {f (n) : There exist positive constants c1, c2 and n0 such that0 ≤ c1 · f (n) ≤ g(n) ≤ c2 · f (n), for all n ≥ n0}(c) Θ(g) = O(g) ∩ Ω(g)

We need to examine _______________ when evaluating the order of an algorithm. A. loops B. nested loops C. method calls D. all of a), b), and c) E. none of these is correct