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
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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
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
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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