Consider the following recurrence: T(n)= T(n-1)+10 (a) Assume that the base case is T(1) = 0(1)....
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Consider the following recurrence: T(n)= T(n-1)+10 (a) Assume that the base case is T(1) = 0(1). Show that the solution to this recurrence is O(n) using: (a) (8 points) The substitution method (the starting guess is T(n) = O(n)) (b) (8 points) The recursion tree method (b) (2 points) Is T(n) = f(n)? Explain your answer. (e) (2 points) Solve the recurrence using the Master Theorem, if possible. Consider the following recurrence: T(n)= T(n-1)+10 (a) Assume that the base case is T(1) = 0(1). Show that the solution to this recurrence is O(n) using: (a) (8 points) The substitution method (the starting guess is T(n) = O(n)) (b) (8 points) The recursion tree method (b) (2 points) Is T(n) = f(n)? Explain your answer. (e) (2 points) Solve the recurrence using the Master Theorem, if possible.
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Data Structures and Algorithms in Java
ISBN: 978-1118771334
6th edition
Authors: Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser
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