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Course: CMSC 351, Summer 2007School: Maryland
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2009 CMSC Summer 351: Homework 4 Clyde Kruskal Due at the start of class Wednesday, June 17, 2009. Problem 1. Consider the following recurrence, defined for n a power of 5: T (n) = 19 if n = 1 3T (n/5) + n - 4 otherwise (a) Solve the recurrence exactly using the iteration method. Simplify as much as possible. (b) Use mathematical induction to verify your solution. Problem 2. Use the formulas derived in class...
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2009
CMSC Summer 351: Homework 4
Clyde Kruskal
Due at the start of class Wednesday, June 17, 2009. Problem 1. Consider the following recurrence, defined for n a power of 5: T (n) = 19 if n = 1 3T (n/5) + n - 4 otherwise
(a) Solve the recurrence exactly using the iteration method. Simplify as much as possible. (b) Use mathematical induction to verify your solution. Problem 2. Use the formulas derived in class to exact obtain solutions to the following two recurrences. (a) Let n be a power of 2. T (n) = (b) Let n be a power of 4. T (n) = 3 if n = 1 2T (n/4) + 4n + 1 otherwise 4 if n = 1 5T (n/2) + 3n2 otherwise
Problem 3. Consider the following recurrence. T...
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Maryland - CMSC - 351
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Maryland - CMSC - 351
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Maryland - CMSC - 351
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