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3. (8 points) Running Time Analysis. Analyze the running times of the following programs. Give the tightest possible upper bound on the running time using

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3. (8 points) Running Time Analysis. Analyze the running times of the following programs. Give the tightest possible upper bound on the running time using the O() notation. (a) F(n) : If n>1 Invoke F(n/2) Invoke F(n/2) For i=1 to n Print (" Hi ") End For End If (b) F(n) : If n>1 Invoke F(n/2) Invoke F(n/3) For i=1 to n Print (" Hi ") End For End If (c) F(n) : If n>1 For i=1 to 6 Invoke F(n/5) End For For i=1 to n{5/4} Print (" Hi ") End For End If (d) F(n) : If n>2 Invoke F(sqrt(n)) Invoke F(sqrt(n)) Print(" Hi ') End If

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