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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
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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