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(A) Prove
3n = O(n!)
(B) In each of the following cases, determine how large a problem can be solved in 1 second using an algorithm that requires f(n) operations, where each operation is carried out in 10-9 seconds:
i. f(n) = vn
ii. f(n) = n3
iii. f(n) = 5n
(C)If you have time could you please give your very simpliest proof that the halting problem has no solutions. you can only find complicated ones online!
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