tput This exercise uses sub-algorithms. Trace it for when input value is 6 and complete the trace tables. Also note that there are two variables name num, one in the main algorithm and another in the sub-algorithm. They are not related. Assume input is a positive integer. Write pre- post-conditions for each of these algorithms (the main one and the sub-algorithm). Note that the prime sub-algorithm is similar to the algorithm in Ex 1) but instead of reading input and producing outputs, it has a parameter num, and it returns the result. Also note that the =true is in gray color, which means it can be ignored. Note that since the sub-program is called several times, it's better that you use separate trace tables, one for each call, as shown below. num i←2 start i←i + 1 i T prime(i) = true T i≤ num end F prime(num) start flag ← true d-2 flag = true and d≤ num/2 T num mod d=0 LT flag ←false d
tput This exercise uses sub-algorithms. Trace it for when input value is 6 and complete the trace tables. Also note that there are two variables name num, one in the main algorithm and another in the sub-algorithm. They are not related. Assume input is a positive integer. Write pre- post-conditions for each of these algorithms (the main one and the sub-algorithm). Note that the prime sub-algorithm is similar to the algorithm in Ex 1) but instead of reading input and producing outputs, it has a parameter num, and it returns the result. Also note that the =true is in gray color, which means it can be ignored. Note that since the sub-program is called several times, it's better that you use separate trace tables, one for each call, as shown below. num i←2 start i←i + 1 i T prime(i) = true T i≤ num end F prime(num) start flag ← true d-2 flag = true and d≤ num/2 T num mod d=0 LT flag ←false d
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
![num
01
6
output
This exercise uses sub-algorithms. Trace it for when input value is 6 and complete the trace tables. Also
note that there are two variables name num, one in the main algorithm and another in the sub-algorithm.
They are not related. Assume input is a positive integer. Write pre- post-conditions for each of these
algorithms (the main one and the sub-algorithm). Note that the prime sub-algorithm is similar to the
algorithm in Ex 1) but instead of reading input and producing outputs, it has a parameter num, and it
returns the result. Also note that the =true is in gray color, which means it can be ignored. Note that since
the sub-program is called several times, it's better that you use separate trace tables, one for each call, as
shown below.
start
num
i ← 2
i←i + 1
i
T
prime(i) = true
T
i≤ num
end
F
F
prime(num)
start
flag ← true
d-2
flag = true and
d≤num/2
num mod d=0
T
flag ←false
d+ d + 1
ret flag
F
num flag d
2
returned value
num flag
3
d
num flag d
4
returned value
returned value](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F518ab239-4ecd-4d9b-a56d-988e4a757379%2Fb51e8a64-140a-4097-ab16-e1b46046cc20%2F7si3uy9_processed.png&w=3840&q=75)
Transcribed Image Text:num
01
6
output
This exercise uses sub-algorithms. Trace it for when input value is 6 and complete the trace tables. Also
note that there are two variables name num, one in the main algorithm and another in the sub-algorithm.
They are not related. Assume input is a positive integer. Write pre- post-conditions for each of these
algorithms (the main one and the sub-algorithm). Note that the prime sub-algorithm is similar to the
algorithm in Ex 1) but instead of reading input and producing outputs, it has a parameter num, and it
returns the result. Also note that the =true is in gray color, which means it can be ignored. Note that since
the sub-program is called several times, it's better that you use separate trace tables, one for each call, as
shown below.
start
num
i ← 2
i←i + 1
i
T
prime(i) = true
T
i≤ num
end
F
F
prime(num)
start
flag ← true
d-2
flag = true and
d≤num/2
num mod d=0
T
flag ←false
d+ d + 1
ret flag
F
num flag d
2
returned value
num flag
3
d
num flag d
4
returned value
returned value
![Trace the following flowchart for when input values are 12, 3, -3, 6, 11, 3, -1, -2 and complete the trace
table. Also, write pre- post-conditions for this flowchart.
start
cnt1 (0
cnt2-0
i (1
i←i+1
num
num<0
T
cnt1 a cnt1 +1
i<1
i←i+1
num
is 4
cnt1=cnt2
"yes"
(end)
T
num>0
T
cnt2 cnt2 + 1
F
is 4
T
F
F
"no"
F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F518ab239-4ecd-4d9b-a56d-988e4a757379%2Fb51e8a64-140a-4097-ab16-e1b46046cc20%2F3h817_processed.png&w=3840&q=75)
Transcribed Image Text:Trace the following flowchart for when input values are 12, 3, -3, 6, 11, 3, -1, -2 and complete the trace
table. Also, write pre- post-conditions for this flowchart.
start
cnt1 (0
cnt2-0
i (1
i←i+1
num
num<0
T
cnt1 a cnt1 +1
i<1
i←i+1
num
is 4
cnt1=cnt2
"yes"
(end)
T
num>0
T
cnt2 cnt2 + 1
F
is 4
T
F
F
"no"
F
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