Assume n is a positive integer. Count the number of operations in the loop below: x := -2 for i:=1 to n for j := 3 to 7i x := i + j next j next i 1. Start by counting the number of operations performed in the inner loop. This total will depend on i.
Assume n is a positive integer. Count the number of operations in the loop below: x := -2 for i:=1 to n for j := 3 to 7i x := i + j next j next i 1. Start by counting the number of operations performed in the inner loop. This total will depend on i.
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![Assume n is a positive integer. Count the number of operations in the loop below:
x = -2
for i:=1 to n
for j := 3 to 7i
x := i + j
next j
next i
1. Start by counting the number of operations performed in the inner loop. This total will depend on i.
In each iteration of the inner loop,
The inner loop runs
operations are performed.
times, so the total number of operations performed in this loop is
2. With the information above, we can count the number of operations the overall algorithm computes.
In ith iteration of the outer loop,
operations are performed. (This total depends on the value of i.)
To get the total number of operations, we need to add up the number of operations performed for each value of i. That is,
the total number of operations performed in this loop is
+ ... +
+
(start adding from the smallest value of i)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a41257f-c9b6-4487-97a2-e459f9e4d541%2Fd8505347-5b2f-45c8-be16-6efa2856c6d6%2Fdibgbs5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume n is a positive integer. Count the number of operations in the loop below:
x = -2
for i:=1 to n
for j := 3 to 7i
x := i + j
next j
next i
1. Start by counting the number of operations performed in the inner loop. This total will depend on i.
In each iteration of the inner loop,
The inner loop runs
operations are performed.
times, so the total number of operations performed in this loop is
2. With the information above, we can count the number of operations the overall algorithm computes.
In ith iteration of the outer loop,
operations are performed. (This total depends on the value of i.)
To get the total number of operations, we need to add up the number of operations performed for each value of i. That is,
the total number of operations performed in this loop is
+ ... +
+
(start adding from the smallest value of i)
=
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