Re: ::::::||VU_Askari(MIT)||:::::: CS502 Quiz No.1 Dated 12-11-2012

Yes

On Sat, Sep 7, 2024, 7:19 AM khushii naz <khushiinaz@gmail.com> wrote:

Kbi student thi

On Sat, Sep 7, 2024, 12:33 AM Waheed amir <aioudamir@gmail.com> wrote:

hello kon ho ap ?

On Fri, 6 Sept 2024, 9:24 pm khushii naz, <khushiinaz@gmail.com> wrote:

How i can leave this vu group

On Mon, Nov 12, 2012, 10:20 PM muhammad ashfaq <ashfaq.muhammad133@gmail.com> wrote:

Please send me solved mid term papers of cs 604 cs 614

On 11/12/12, Umair Saulat <saulat.umair@gmail.com> wrote:
> *CS502 - Fundamentals of Algorithms*
>
> *Quiz No.1 12-11-2012*
>
>
>
>
> 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
>
>
>
> Which may be stable sort:
> Select correct option:
> Bubble sort
> Insertion sort
> Both of above
> Selection sort
>
> 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 Quick sort algorithm, constants hidden in T(n lg n) are
> Select correct option:
>
> Large
> Medium
> Not known
> small
>
>  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)
>
>  Counting sort has time complexity:
> Select correct option:
>
> O(n)
> O(n+k)
> O(k)
> O(nlogn)
>
>  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
>
>  A (an) _________ is a left-complete binary tree that conforms to the heap
> order
> Select correct option:
>
> heap
> binary tree
> binary search tree
> array
>
>  The analysis of Selection algorithm shows the total running time is indeed
> ________in n,
> Select correct option:
>
> arithmetic
> geometric
> linear
> orthogonal
>
>  Quick sort is based on divide and conquer paradigm; we divide the problem
> on base of pivot element and:
> Select correct option:
>
> There is explicit combine process as well to conquer the solution.
> No work is needed to combine the sub-arrays, the array is already sorted
> Merging the sub arrays
> None of above.
>
>  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
>
> In the analysis of Selection algorithm, we make a number of passes, in fact
> it could be as many as,
>
> T(n)
>
> T(n / 2)
>
> log n
>
> n / 2 + n / 4
>
>
>
> Quick sort is based on divide and conquer paradigm; we divide the problem
> on base of
>
> pivot element and:
>
> There is explicit combine process as w ell to conquer
>
> No w ork is needed to combine the sub-arrays, the a
>
> Merging the subarrays
>
> None of above
>
>
>
>
>
> The number of nodes in a complete binary tree of height h is
>
> 2^(h+1) – 1
>
> 2 * (h+1) – 1
>
> 2 * (h+1)
>
> ((h+1) ^ 2) – 1
>
>
>
> How many elements do we eliminate in each time for the Analysis of
> Selection
>
> algorithm?
>
> n / 2 elements
>
> (n / 2) + n elements
>
> n / 4 elements
>
> 2 n elements
>
>
>
> Which sorting algorithn is faster :
>
> O(n^2)
>
> O(nlogn)
>
> O(n+k)
>
> O(n^3)
>
>
>
> 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
>
>
>
> Slow sorting algorithms run in,
>
> T(n^2)
>
> T(n)
>
> T( log n)
>
> T(n log n)
>
>
>
> One of the clever aspects of heaps is that they can be stored in arrays
> without using any
>
> _______________.
>
> Pointers
>
> Constants
>
> Variables
>
> Functions
>
>
>
> Counting sort is suitable to sort the elements in range 1 to k:
>
> K is large
>
> K is small
>
> K may be large or small
>
> None
>
>
>
> 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 additional 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 which 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
>
>
>
>
>
>
>
>
>
>
>
> 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
>
>
>
> Memoization 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
>
>
>
> One Example of in place but not stable sort is
>
> Quick
>
> Heap
>
> Merge
>
> Bubble
>
>
>
> 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
>
> * *
>
> Question # 9 of 10 ( Start time: 07:39:07 PM ) Total M a r k s: 1
>
> In Quick sort algorithm,constants hidden in T(n lg n) are
>
> Select correct option:
>
> Large
>
> Medium
>
> Not known
>
> Small
>
> * *
>
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