CSE 2320
Name
____________________________________
Test 1
Summer 2011
Last 4 Digits of Mav ID # _____________________
Multiple Choice.
Write your answer to the LEFT of each problem.
3 points each
1.
The time to multiply two
n
´
n
matrices is:
A.
Θ
n
( )
B.
Θ
max
m
,
n
,
p
(
)
(
)
C.
Θ
n
3
ae
è
ç
ö
ø
÷
D.
Θ
mnp
(
)
2.
Which of the following is the best approximation for
H
mn
?
(
m
and
n
are positive integers)
A.
1
mn
B.
ln
m
+ ln
n
C.
ln
n
D.
1
3.
Which sort has both its worstcase and expected times in
Θ
n
2
ae
è
ç
ö
ø
÷
?
A.
heap B. insertion
C. merge
D.
selection
4.
Suppose
H
n
=
11
6
.
What is the value of
n
?
A.
4
B.
5
C.
6
D.
7
5.
The function
3log
n
+ 2
n
is in which set?
A.
Ω
n
log
n
(
)
B.
Θ
log
n
(
)
C.
Θ
n
( )
D.
Θ
n
log
n
(
)
6.
Which of the following is not true?
A.
2
n
Î W 3
n
ae
è
ç
ö
ø
÷
B.
n
2
Î O
n
3
ae
è
ç
ö
ø
÷
C.
n
2
Î W
n
log
n
(
)
D.
g n
( )
Î W
f n
( )
(
)
Û
f n
( )
Î O
g n
( )
(
)
7.
What is
n
, the number of elements, for the largest table that can be processed by binary search using no more than 7
probes?
A.
31
B.
63
C.
64
D.
127
8.
f n
( )
=
n
lg
n
is in all of the following sets, except
A.
Ω
log
n
(
)
B.
Θ
log
n
!
(
)
(
)
C.
Ο
n
( )
D.
Ο
n
2
ae
è
ç
ö
ø
÷
9.
Suppose there is a large, unordered table with
n
integers, possibly with repeated values.
How much time is needed to
determine the minimum value?
A.
Θ
1
( )
B.
Θ
log
n
(
)
C.
Θ
n
( )
D.
Θ
n
log
n
(
)
10. The recursion tree for mergesort has which property?
A.
each level has the same contribution
B.
it leads to a definite geometric sum
C.
it leads to a harmonic sum
D.
it leads to an indefinite geometric sum
11. Suppose that you have correctly determined some
c
and
n
o
to prove
f n
( )
Î O
g n
( )
(
).
Which of the following is not
necessarily true?
A.
c
may be decreased
B.
c
may be increased
C.
n
o
may be increased
D.
g n
( )
Î W
f n
( )
(
)
12. Suppose you are using the substitution method to establish a
Θ
bound on a recurrence
T n
( ) and you already know
T n
( )
Î W
n
( ) and
T n
( )
Î O
n
2
ae
è
ç
ö
ø
÷
.
Which of the following cannot be shown as an improvement?
A.
T n
( )
Î O lg
n
(
)
B.
T n
( )
Î O
n
( )
C.
T n
( )
Î W
n
2
ae
è
ç
ö
ø
÷
D.
T n
( )
Î W
n
lg
n
(
)
13. What is required when calling
union(i,j)
for maintaining disjoint subsets?
A.
i
is the ancestor of
j
in one of the trees
B.
i
and
j
are in the same subset
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentC.
i
and
j
are leaders for different subsets
D.
i
and
j
are leaders for the same subset
14. Which of the following is not true regarding a maxheap with 1000 elements?
A.
Subscript 1 will store the maximum priority.
B.
The parent for the node with subscript 500 is stored at subscript 250.
C.
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '12
 BOBWEEMS

Click to edit the document details