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Algorithm efficiency=example problems

Question:

Algorithm Efficiency: Example Problems

Please help with these 2 problems in algorithm efficiency.

1. Rank the terms of the following function according to their order of growth. Give explanation.

f(n) = 100n¹⁰⁰ + 3⁴ⁿ + log¹⁰⁰⁰n + 4³ⁿ + 2^0.001n/n¹⁰⁰

2. Consider the following algorithm where n is a positive integer.

for i←| n/2 | n do

a← n-i

What is the efficiency class of this algorithm? Show your reasoning.

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