DA06 - Recursive Algorithms CSC 3102 0.1 B.B Karki LSU...

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B.B. Karki, LSU 0.1 CSC 3102 Recursive Algorithms
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B.B. Karki, LSU 0.2 CSC 3102 Definition and Examples Recursive algorithm invokes (makes reference to) itself repeatedly until a certain condition matches Examples: Computing factorial function Tower of Hanoi puzzle Digits in binary representation Non-recursive algorithm is executed only once to solve the problem.
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B.B. Karki, LSU 0.3 CSC 3102 Analyzing Efficiency of Recursive Algorithms Steps in mathematical analysis of recursive algorithms: Decide on parameter n indicating input size. Identify algorithm’s basic operation Determine worst , average , and best case for input of size n If the basic operation count also depends on other conditions. Set up a recurrence relation and initial condition(s) for C ( n )-the number of times the basic operation will be executed for an input of size n Alternatively count recursive calls. Solve the recurrence to obtain a closed form or estimate the order of magnitude of the solution (see Appendix B)
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B.B. Karki, LSU
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