PLEASE DO NOT COPY AND PASTE OLD ANSWERS. I NEED THE SOLUTIONS IN CLEAR AND LEGIBLE STEPS. THANK YOU!

(15 points) 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) 5nlog2n+10log2(log2n) (b) (3 points) 5(22log2n)+n/2+7 (c) (3 points) 5n ! (d) (3 points) (log2n)2+32 (e) (3 points )(2log4n)/3+100n+5