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Engineering
Data Structures and Algorithms
Consider the definition h(0) = 1 h(n) h(n-1)+h(floor(n/2)) + 1 For example, h(2) = h(1) + h(1) + 1 = 3, h(3) = h(2) + h(1) + 1 = 5, etc. An obvious algorithm to compute h is a recursive one, based directly on the defining equations. Is that algorithm efficient? Why or why not? If not, how can the algorithm be improved? Justify your answer.

Consider the definition h(0) = 1 h(n) h(n-1)+h(floor(n/2)) + 1 For example, h(2) = h(1) + h(1) + 1 = 3, h(3) = h(2) + h(1) + 1 = 5, etc. An obvious algorithm to compute h is a recursive one, based directly on the defining equations. Is that algorithm efficient? Why or why not? If not, how can the algorithm be improved? Justify your answer.

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Consider the definition h(0) = 1 h(n) h(n-1)+h(floor(n/2)) + 1 For example, h(2) = h(1) + h(1) + 1 = 3, h(3) = h(2) + h(1) + 1 = 5, etc. An obvious algorithm to compute h is a recursive one, based directly on the defining equations. Is that algorithm efficient? Why or why not? If not, how can the algorithm be improved? Justify your answer.
Transcribed Image Text:Consider the definition h(0) = 1 h(n) h(n-1)+h(floor(n/2)) + 1 For example, h(2) = h(1) + h(1) + 1 = 3, h(3) = h(2) + h(1) + 1 = 5, etc. An obvious algorithm to compute h is a recursive one, based directly on the defining equations. Is that algorithm efficient? Why or why not? If not, how can the algorithm be improved? Justify your answer.
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