Solved: For each of the algorithm segments in 619, assume that n is a positive integer
Chapter 11, Problem 17(choose chapter or problem)
For each of the algorithm segments in 6–19, assume that n is a positive integer.
(a) Compute the actual number of additions, subtractions, multiplications, divisions, and comparisons that must be performed when the algorithm segment is executed. For simplicity, however, count only comparisons that occur within if-then statements; ignore those implied by for-next loops.
(b) Use the theorem on polynomial orders to find an order for the algorithm segment.
for i:= 1 to n
for j:=1 to \(\lfloor(i+1) / 2\rfloor\)
\(a:=(n-i) \cdot(n-j)\)
next j
next i
Text Transcription:
lfloor(i+1) / 2\rfloor
r:=s^2
a:=(n-i) \cdot(n-j)
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