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( 1 point ) ( Challenge problem! ) Assume n is a positive integer. Count the number of operations in the loop below: Start by
point Challenge problem! Assume is a positive integer. Count the number of operations in the loop below: Start by counting the number of operations performed in the innermost loop the loop This total will depend on In each iteration of the innermost loop, operations are performed. The inner loop runs times, so the total number of operations performed in this loop is Now we want to count the number of operations the middle loop the loop performs in a complete run of it In the iteration of the middle loop, operations are performed. This total depends on the value of The middle loop runs a total of times. To get the total number of operations, we need to add up the number of operations performed for each value of That is the total number of operations performed in the middle loop is cdots start adding from the smallest value of Finally, we compute the total number of operations this algorithm performs In the iteration of the outer loop, operations are performed. This total depends on the value of The outer loop runs a total of times. To get the total number of operations, we need to add up the number of operations performed for each value of That is the total number of operations performed in the algorithm is cdots start adding from the smallest value of
point
Challenge problem!
Assume is a positive integer. Count the number of operations in the loop below:
Start by counting the number of operations performed in the innermost loop the loop This total will depend on
In each iteration of the innermost loop,
operations are performed.
The inner loop runs
times, so the total number of operations performed in this loop is
Now we want to count the number of operations the middle loop the loop performs in a complete run of it
In the iteration of the middle loop,
operations are performed. This total depends on the value of
The middle loop runs a total of
times.
To get the total number of operations, we need to add up the number of operations performed for each value of That is the total number of operations performed in the middle loop is
cdots
start adding from the smallest value of
Finally, we compute the total number of operations this algorithm performs
In the iteration of the outer loop,
operations are performed. This total depends on the value of
The outer loop runs a total of
times.
To get the total number of operations, we need to add up the number of operations performed for each value of That is the total number of operations performed in the algorithm is
cdots
start adding from the smallest value of
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