CS502 - Fundamentals of Algorithms
Quiz No.1 30-04-2012
Question # 1 of 10 ( Start time: 06:18:58 PM ) Total Marks: 1
We do sorting to,
Select correct option:
keep elements in random positions
keep the algorithm run in linear order
keep the algorithm run in (log n) order
keep elements in increasing or decreasing order
Question # 2 of 10 ( Start time: 06:19:38 PM ) Total Marks: 1
Heaps can be stored in arrays without using any pointers; this is due to the ____________ nature of the binary tree,
Select correct option:
left-complete
right-complete
tree nodes
tree leaves
Question # 3 of 10 ( Start time: 06:20:18 PM ) Total Marks: 1
Sieve Technique can be applied to selection problem?
Select correct option:
True
False
Question # 4 of 10 ( Start time: 06:21:10 PM ) Total Marks: 1
A heap is a left-complete binary tree that conforms to the ___________
Select correct option:
increasing order only
decreasing order only
heap order
(log n) order
Question # 5 of 10 ( Start time: 06:21:39 PM ) Total Marks: 1
A (an) _________ is a left-complete binary tree that conforms to the heap order
Select correct option:
heap
binary tree
binary search tree
array
Question # 6 of 10 ( Start time: 06:22:04 PM ) Total Marks: 1
Divide-and-conquer as breaking the problem into a small number of
Select correct option:
pivot
Sieve
smaller sub problems
Selection
Question # 7 of 10 ( Start time: 06:22:40 PM ) Total Marks: 1
In Sieve Technique we do not know which item is of interest
Select correct option:
True
False
Question # 8 of 10 ( Start time: 06:23:26 PM ) Total Marks: 1
The recurrence relation of Tower of Hanoi is given below T(n)={1 if n=1 and 2T(n-1) if n >1 In order to move a tower of 5 rings from one peg to another, how many ring moves are required?
Select correct option:
16
10
32
31
Question # 9 of 10 ( Start time: 06:24:44 PM ) Total Marks: 1
In the analysis of Selection algorithm, we eliminate a constant fraction of the array with each phase; we get the convergent _______________ series in the analysis,
Select correct option:
linear
arithmetic
geometric
exponent
Question # 10 of 10 ( Start time: 06:25:43 PM ) Total Marks: 1
For the heap sort, access to nodes involves simple _______________ operations.
Select correct option:
arithmetic
binary
algebraic
logarithmic
For the sieve technique we solve the problem,
Select correct option:
recursively
mathematically
precisely
accurately
The sieve technique works in ___________ as follows
Select correct option:
phases
numbers
integers
routines
Slow sorting algorithms run in,
Select correct option:
T(n^2)
T(n)
T( log n)
A (an) _________ is a left-complete binary tree that conforms to the heap order
Select correct option:
heap
binary tree
binary search tree
array
In the analysis of Selection algorithm, we eliminate a constant fraction of the array with each phase; we get the convergent _______________ series in the analysis,
Select correct option:
linear
arithmetic
geometric
exponent
In the analysis of Selection algorithm, we make a number of passes, in fact it could be as many as,
Select correct option:
T(n)
T(n / 2)
log n
n / 2 + n / 4
The sieve technique is a special case, where the number of sub problems is just
Select correct option:
5
many
1
few
In which order we can sort?
Select correct option:
increasing order only
decreasing order only
increasing order or decreasing order
both at the same time
The recurrence relation of Tower of Hanoi is given below T(n)={1 if n=1 and 2T(n-1) if n >1 In order to move a tower of 5 rings from one peg to another, how many ring moves are required?
Select correct option:
16
10
32
31
Analysis of Selection algorithm ends up with,
Select correct option:
T(n)
T(1 / 1 + n)
T(n / 2)
T((n / 2) + n)
We do sorting to,
Select correct option:
keep elements in random positions
keep the algorithm run in linear order
keep the algorithm run in (log n) order
keep elements in increasing or decreasing order
Divide-and-conquer as breaking the problem into a small number of
Select correct option:
pivot
Sieve
smaller sub problems
Selection
The analysis of Selection algorithm shows the total running time is indeed ________in n,
Select correct option:
arithmetic
geometric
linear
orthogonal
How many elements do we eliminate in each time for the Analysis of Selection algorithm?
Select correct option:
n / 2 elements
(n / 2) + n elements
n / 4 elements
2 n elements
Sieve Technique can be applied to selection problem?
Select correct option:
True
false
For the heap sort we store the tree nodes in
Select correct option:
level-order traversal
in-order traversal
pre-order traversal
post-order traversal
One of the clever aspects of heaps is that they can be stored in arrays without using any _______________.
Select correct option:
pointers
constants
variables
functions
A (an) _________ is a left-complete binary tree that conforms to the heap order
Select correct option:
heap
binary tree
binary search tree
array
Divide-and-conquer as breaking the problem into a small number of
Select correct option:
pivot
Sieve
smaller sub problems
Selection
Heaps can be stored in arrays without using any pointers; this is due to the ____________ nature of the binary tree,
Select correct option:
left-complete
right-complete
tree nodes
tree leaves
For the sieve technique we solve the problem,
Select correct option:
recursively
mathematically
precisely
accurately
A heap is a left-complete binary tree that conforms to the ___________
Select correct option:
increasing order only
decreasing order only
heap order
(log n) order
We do sorting to,
Select correct option:
keep elements in random positions
keep the algorithm run in linear order
keep the algorithm run in (log n) order
keep elements in increasing or decreasing order
How many elements do we eliminate in each time for the Analysis of Selection algorithm?
Select correct option:
n / 2 elements
(n / 2) + n elements
n / 4 elements
2 n elements
How much time merge sort takes for an array of numbers?
Select correct option:
T(n^2)
T(n)
T( log n)
T(n log n)
The reason for introducing Sieve Technique algorithm is that it illustrates a very important special case of,
Select correct option:
divide-and-conquer
decrease and conquer
greedy nature
2-dimension Maxima
Question # 1 of 10 ( Start time: 08:17:23 AM ) Total M a r k s: 1
The number of nodes in a complete binary tree of height h is
Select correct option:
2^(h+1) – 1
2 * (h+1) – 1
2 * (h+1)
((h+1) ^ 2) – 1
Question # 2 of 10 ( Start time: 08:18:46 AM ) Total M a r k s: 1
A (an) _________ is a left-complete binary tree that conforms to the heap order
Select correct option:
heap
binary tree
binary search tree
array
Question # 3 of 10 ( Start time: 08:19:38 AM ) Total M a r k s: 1
In Sieve Technique we do not know which item is of interest
Select correct option:
True
False
Question # 4 of 10 ( Start time: 08:20:33 AM ) Total M a r k s: 1
Heaps can be stored in arrays without using any pointers; this is due to the
____________ nature of the binary tree,
Select correct option:
left-complete
right-complete
tree nodes
tree leaves
Question # 5 of 10 ( Start time: 08:21:59 AM ) Total M a r k s: 1
In the analysis of Selection algorithm, we make a number of passes, in fact it could be as
many as,
Select correct option:
T(n)
T(n / 2)
log n
n / 2 + n / 4
Question # 6 of 10 ( Start time: 08:23:01 AM ) Total M a r k s: 1
For the sieve technique we solve the problem,
Select correct option:
recursively
mathematically
precisely
accurately
Theta asymptotic notation for T (n) :
Select correct option:
Set of functions described by: c1g(n)Set of functions described by c1g(n)>=f(n) for c1 s
Theta for T(n)is actually upper and worst case comp
Set of functions described by:
c1g(n)
Question # 8 of 10 ( Start time: 08:24:39 AM ) Total M a r k s: 1
The sieve technique is a special case, where the number of sub problems is just
Select correct option:
5
many
1
few
Question # 9 of 10 ( Start time: 08:25:54 AM ) Total M a r k s: 1
Sieve Technique applies to problems where we are interested in finding a single item from a larger set of _____________
Select correct option:
n items
phases
pointers
constant
Question # 10 of 10 ( Start time: 08:26:44 AM ) Total M a r k s: 1
The sieve technique works in ___________ as follows
Select correct option:
phases
numbers
integers
routines
Memorization is?
To store previous results for future use
To avoid this unnecessary repetitions by writing down the results of recursive calls and looking them up again if we need them later
To make the process accurate
None of the above
Question # 2 of 10 Total M a r k s: 1
Which sorting algorithm is faster
O (n log n)
O n^2
O (n+k)
O n^3
Quick sort is
Stable & in place
Not stable but in place
Stable but not in place
Some time stable & some times in place
One example of in place but not stable algorithm is
Merger Sort
Quick Sort
Continuation Sort
Bubble Sort
In Quick Sort Constants hidden in T(n log n) are
Large
Medium
Small
Not Known
Continuation sort is suitable to sort the elements in range 1 to k
K is Large
K is not known
K may be small or large
K is small
In stable sorting algorithm.
If duplicate elements remain in the same relative position after sorting
One array is used
More than one arrays are required
Duplicating elements not handled
Which may be a stable sort?
Merger
Insertion
Both above
None of the above
An in place sorting algorithm is one that uses ___ arrays for storage
Two dimensional arrays
More than one array
No Additional Array
None of the above
Continuing sort has time complexity of ?
O(n)
O(n+k)
O(nlogn)
O(k)
We do sorting to,
keep elements in random positions
keep the algorithm run in linear order
keep the algorithm run in (log n) order
keep elements in increasing or decreasing order
In Sieve Technique we donot know which item is of interest
True
False
A (an) _________ is a left-complete binary tree that conforms to the
heap order
heap
binary tree
binary search tree
array
27. The sieve technique works in ___________ as follows
phases
numbers
integers
routines
For the sieve technique we solve the problem,
recursively
mathematically
precisely
accurately
29. For the heap sort, access to nodes involves simple _______________
operations.
arithmetic
binary
algebraic
logarithmic
The analysis of Selection algorithm shows the total running time is
indeed ________in n,\
arithmetic
geometric
linear
orthogonal
For the heap sort, access to nodes involves simple _______________
operations.
Select correct option:
arithmetic
binary
algebraic
logarithmic
Sieve Technique applies to problems where we are interested in finding a
single item from a larger set of _____________
Select correct option:
n items
phases
pointers
constant
Question # 9 of 10 ( Start time: 07:45:36 AM ) Total Marks: 1
In Sieve Technique we do not know which item is of interest
Select correct option:
True
False
How much time merge sort takes for an array of numbers?
Select correct option:
T(n^2)
T(n)
T( log n)
T(n log n)
For the heap sort we store the tree nodes in
Select correct option:
level-order traversal
in-order traversal
pre-order traversal
post-order traversal
Sorting is one of the few problems where provable ________ bonds exits on
how fast we can sort,
Select correct option:
upper
lower
average
log n
single item from a larger set of _____________
Select correct option:
n items
phases
pointers
constant
A heap is a left-complete binary tree that conforms to the ___________
Select correct option:
increasing order only
decreasing order only
heap order
(log n) order
In the analysis of Selection algorithm, we make a number of passes, in fact it could be as many as,
Select correct option:
T(n)
T(n / 2)
log n
n / 2 + n / 4
The reason for introducing Sieve Technique algorithm is that it illustrates a
very important special case of,
Select correct option:
divide-and-conquer
decrease and conquer
greedy nature
2-dimension Maxima
The sieve technique works in ___________ as follows
Select correct option:
phases
numbers
integers
routines
For the Sieve Technique we take time
Select correct option:
T(nk)
T(n / 3)
n^2
n/3
In the analysis of Selection algorithm, we eliminate a constant fraction of the
array with each phase; we get the convergent _______________ series in the
analysis,
linear
arithmetic
geometric
exponent
Analysis of Selection algorithm ends up with,
Select correct option:
T(n)
T(1 / 1 + n)
T(n / 2)
T((n / 2) + n)
Quiz Start Time: 07:23 PM
Time Left 90
sec(s)
Question # 1 of 10 ( Start time: 07:24:03 PM ) Total M a r k s: 1
In in-place sorting algorithm is one that uses arrays for storage :
Select correct option:
An additional array
No additioanal array
Both of above may be true according to algorithm
More than 3 arrays of one dimension.
Time Left 89
sec(s)
Question # 2 of 10 ( Start time: 07:25:20 PM ) Total M a r k s: 1
Which sorting algorithn is faster :
Select correct option:
O(n^2)
O(nlogn)
O(n+k)
O(n^3)
In stable sorting algorithm:
Select correct option:
One array is used
In whcih duplicating elements are not handled.
More then one arrays are required.
Duplicating elements remain in same relative posistion after sorting.
Counting sort has time complexity:
Select correct option:
O(n)
O(n+k)
O(k)
O(nlogn)
Counting sort is suitable to sort the elements in range 1 to k:
Select correct option:
K is large
K is small
K may be large or small
None
Memorization is :
Select correct option:
To store previous results for further use.
To avoid unnecessary repetitions by writing down the results of recursive calls and looking them again if needed later
To make the process accurate.
None of the above
The running time of quick sort depends heavily on the selection of
Select correct option:
No of inputs
Arrangement of elements in array
Size o elements
Pivot elements
Which may be stable sort:
Select correct option:
Bubble sort
Insertion sort
Both of above
In Quick sort algorithm, constants hidden in T(n lg n) are
Select correct option:
Large
Medium
Not known
small
Quick sort is
Select correct option:
Stable and In place
Not stable but in place
Stable and not in place
Some time in place and send some time stable
For the Sieve Technique we take time
T(nk)
T(n / 3)
n^2
n/3
The sieve technique is a special case, where the number of sub problems is just
Select correct option:
5
Many
1
Few
The reason for introducing Sieve Technique algorithm is that it illustrates a very important special case of,
Select correct option:
divide-and-conquer
decrease and conquer
greedy nature
2-dimension Maxima
Zindagi mein 2 Logo ka buhat khayal rahkoooo
2nd woh jiss ko tum ney har dukh me pukaara hoo (Mother)
--
Please visit http://vusr.net for Old and Latest Papers, Assignments, Quiz and GDBs.
http://VUSR.net The ultimate VU Study Resource
You received this message because you are subscribed to the Google
Groups "VUSR" group.
To unsubscribe
vusr+unsubscribe@googlegroups.com
To Visit Group Home Page
http://groups.google.com/group/vusr?hl=en?hl=en
