Question: DIVIDE AND CONQUER PROBLEMS Problem 1: Recurrence trees Consider the recurrence relation T(n) = 3T(n/4) +n (a) Draw the recurrence tree (to at least 3

DIVIDE AND CONQUER PROBLEMS Problem 1: Recurrence trees Consider the recurrence

relation T(n) = 3T(n/4) +n (a) Draw the recurrence tree (to at least 3 levels including the root) (b) What is the total amount of work done on the 3rd level of the tree (if the root is the first)? (c) How deep is the tree? (d) How many leaves are in the tree? (e) What is the amount of

DIVIDE AND CONQUER PROBLEMS Problem 1: Recurrence trees Consider the recurrence relation T(n) = 3T(n/4) +n (a) Draw the recurrence tree (to at least 3 levels including the root) (b) What is the total amount of work done on the 3rd level of the tree (if the root is the first)? (c) How deep is the tree? (d) How many leaves are in the tree? (e) What is the amount of work done in the tree, EXCEPT for the leaf/bottom level? Show your work. (f) What is a bound for this recurrence

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