Question: PLEASE SHOW EVERY STEP AND SIMPLIFICATION FOR EACH QUESTION IN CLEAR AND LEGIBLE FORMAT! THANK YOU! You have 5 algorithms, A1 takes O(n3) steps, A2

PLEASE SHOW EVERY STEP AND SIMPLIFICATION FOR EACH QUESTION IN CLEAR AND LEGIBLE FORMAT! THANK YOU!

You have 5 algorithms, A1 takes O(n3) steps, A2 takes (n2) steps, A3 takes (n2) steps,

A4 takes (n) steps, A5 takes o(n) steps. For the following functions write down which all algorithms

out of the 5 can be associated with it.

Hint: Use Logarithmic rules where applicable to simplify.

(a) (3 points) 5n log2 n + 10 log2 (log2 n)

(b) (3 points) 5(2 2log2 n) + n/2 + 7

(c) (3 points) 5n!

(d) (3 points) (log2 n)2 + 32

(e) (3 points) (2log4 n)/3 + 100n + 5

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