CS502 - Fundamentals of Algorithms
Quiz No.5 Dated FEB 15TH 2013
In in-place sorting algorithm is one that uses arrays for storage :
An additional array
No additional array (Right Answer)
Both of above may be true according to algorithm
More than 3 arrays of one dimension.
The running time of quick sort depends heavily on the selection of
No of inputs
Arrangement of elements in array
Size o elements
Pivot element (Right Answer)
In stable sorting algorithm
One array is used
In which duplicating elements are not handled.
More then one arrays are required.
Duplicating elements remain in same relative position after sorting. (Right Answer)
Which sorting algorithn is faster :
O(n^2)
O(nlogn)
O(n+k) (Right Answer)
O(n^3)
In Quick sort algorithm,constants hidden in T(n lg n) are
Large
Medium
Not known
Small (Right Answer)
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 well to conquer the solutin. (Right Answer)
No work is needed to combine the sub-arrays, the array is already sorted
Merging the subarrays
None of above.
There is relationship between number of back edges and number of cycles in DFS
Select correct option:
Both are equal.
Cycles are half of back edges.
Cycles are one fourth of back edges.
There is no relationship between back edges and number of cycle (Right Answer)
You have an adjacency list for G, what is the time complexity to compute Graph
transpose G^T ?
Select correct option:
(V+E) (Right Answer)
V.E
V
E
Question # 3 of 10 ( Start time: 06:54:27 PM ) Total Marks: 1
You have an adjacency list for G, what is the time complexity to compute Graph
transpose G^T.?
?(V + E) Right Answer)
?(V E)
?(V)
?(V^2)
What is the time complexity to extract a vertex from the priority queue in Prim's
algorithm?
Select correct option:
log (V) (Right Answer)
V.V
E.E
log (E)
Dijkstra's algorithm :
Select correct option:
Has greedy approach to find all shortest paths
Has both greedy and Dynamic approach to find all shortest paths
Has greedy approach to compute single source shortest paths to all other vertices (Right Answer)
Has both greedy and dynamic approach to compute single source shortest paths to all other vertices.
What algorithm technique is used in the implementation of Kruskal solution for the
MST?
Greedy Technique (Right Answer)
Divide-and-Conquer Technique
Dynamic Programming Technique
The algorithm combines more than one of the above techniques
What is the time complexity to extract a vertex from the priority queue in Prim's
algorithm?
Select correct option:
O (log E)
? (V)
? (V+E)
O (log V) (Right Answer)
Which is true statement in the following.
Kruskal algorithm is multiple source technique for finding MST.
Kruskal's algorithm is used to find minimum spanning tree of a graph, time complexity of this algorithm is O(EV)
Both of above
Kruskal's algorithm (choose best non-cycle edge) is better than Prim's (choose best Tree edge) when the graph has relatively few edges ) (Right Answer)
The relationship between number of back edges and number of cycles in DFS is,
Both are equal
Back edges are half of cycles
Back edges are one quarter of cycles
There is no relationship between no. of edges and cycles (Right Answer)
Kruskal's algorithm (choose best non-cycle edge) is better than Prim's (choose best tree
edge) when the graph has relatively few edges.
True (Right Answer)
False
What is the time complexity to extract a vertex from the priority queue in Prim's
algorithm?
Select correct option:
log (V)
V.V
E.E
log (E)
Suppose that a graph G = (V,E) is implemented using adjacency lists. What is the complexity of a breadth-first traversal of G?
Select correct option:
O(|V |^2)
O(|V | |E|) (Right Answer)
O(|V |^2|E|)
O(|V | + |E|)
What is generally true of Adjacency List and Adjacency Matrix representations of graphs?
Select correct option:
Lists require less space than matrices but take longer to find the weight of an edge (v1,v2)
Lists require less space than matrices and they are faster to find the weight of an edge (v1, v2) Right Answer)
Lists require more space than matrices and they take longer to find the weight of an edge (v1, v2)
Lists require more space than matrices but are faster to find the weight of an edge (v1, v2)
What general property of the list indicates that the graph has an isolated vertex?
Select correct option:
There is Null pointer at the end of list.
The Isolated vertex is not handled in list. (not Sure)
Only one value is entered in the list.
There is at least one null list.
A dense undirected graph is:
Select correct option:
A graph in which E = O(V^2) (Right Answer)
A graph in which E = O(V)
A graph in which E = O(log V)
All items above may be used to characterize a dense undirected graph
In digraph G=(V,E) ;G has cycle if and only if
Select correct option:
The DFS forest has forward edge.
The DFS forest has back edge (Right Answer)
The DFS forest has both back and forward edge
BFS forest has forward edge
Back edge is:
Select correct option:
(u, v) where v is an ancestor of u in the tree. (Right Answer)
(u,v) where u is an ancesstor of v in the tree.
(u, v) where v is an predcessor of u in the tree.
None of above
Using ASCII standard the string "abacdaacacwe" will be encoded with __________ bits
Select correct option:
64
128 (Right Answer)
96
120
Cross edge is :
Select correct option:
(u, v) where u and v are not ancestor of one another
(u, v) where u is ancesstor of v and v is not descendent of u.
(u, v) where u and v are not ancestor or descendent of one another (Right Answer)
(u, v) where u and v are either ancestor or descendent of one another.
Which statement is true?
Select correct option:
If a dynamic-programming problem satisfies the optimal-substructure property, then a locally optimal solution is globally optimal.
If a greedy choice property satisfies the optimal-substructure property, then a locally optimal solution is globally optimal.
Both of above Right Answer)
None of above
10 If you find yourself in maze the better traversel approach will bE
A dense undirected graph is:
Select correct option:
A graph in which E = O(V^2) (Right Answer)
A graph in which E = O(V)
A graph in which E = O(log V)
All items above may be used to characterize a dense undirected graph
Which is true statement.
Select correct option:
Breadth first search is shortest path algorithm that works on un-weighted graphs (Right Answer)
Depth first search is shortest path algorithm that works on un-weighted graphs.
Both of above are true.
None of above are true.
Forward edge is:
Select correct option:
(u, v) where u is a proper descendent of v in the tree.
(u, v) where v is a proper descendent of u in the tree. (Right Answer)
(u, v) where v is a proper ancesstor of u in the tree.
(u, v) where u is a proper ancesstor of v in the tree.
Back edge is:
Select correct option:
(u, v) where v is an ancestor of u in the tree. (Right Answer)
(u,v) where u is an ancesstor of v in the tree.
(u, v) where v is an predcessor of u in the tree.
None of above
Suppose that a graph G = (V,E) is implemented using adjacency lists. What is the complexity of a breadth-first traversal of G?
Select correct option:
O(|V |^2)
O(|V | |E|) (Right Answer)
O(|V |^2|E|)
O(|V | + |E|)
In digraph G=(V,E) ;G has cycle if and only if
Select correct option:
The DFS forest has forward edge.
The DFS forest has back edge (Right Answer)
The DFS forest has both back and forward edge
BFS forest has forward edge
What general property of the list indicates that the graph has an isolated vertex?
Select correct option:
There is Null pointer at the end of list.
The Isolated vertex is not handled in list. (not Sure)
Only one value is entered in the list.
There is at least one null list.
If you find yourself in maze the better traversel approach will be :
BFS
BFS and DFS both are valid (Right Answer)
Level order
DFS
Cross edge is :
(u, v) where u and v are not ancestor of one another
(u, v) where u is ancesstor of v and v is not descendent of u.
(u, v) where u and v are not ancestor or descendent of one another (Right Answer)
(u, v) where u and v are either ancestor or descendent of one another.
What algorithm technique is used in the implementation of Kruskal solution for the MST?
Greedy Technique (Right Answer)
Divide-and-Conquer Technique
Dynamic Programming Technique
The algorithm combines more than one of the above techniques
Kruskal's algorithm (choose best non-cycle edge) is better than Prim's (choose best tree edge) when the graph has relatively few
True (Right Answer)
False
You have an adjacency list for G, what is the time complexity to compute Graph transpose G^T.?
?(V + E) Right Answer)
? (V E)
? (V)
? (V^2)
A digraph is strongly connected under what condition?
A digraph is strongly connected if for every pair of vertices u, v e V, u can reach v .
A digraph is strongly connected if for every pair of vertices u, v e V, u can reach v and vice versa. (Right Answer)
A digraph is strongly connected if for at least one pair of vertex u, v e V, u can reach v and vice versa.
A digraph is strongly connected if at least one third pair of vertices u, v e V, u can reach v and vice versa.
The relationship between number of back edges and number of cycles in DFS is,
Both are equal
Back edges are half of cycles
Back edges are one quarter of cycles
There is no relationship between no. of edges and cycles (Right Answer)
What algorithm technique is used in the implementation of Kruskal solution for the MST?
Greedy Technique (Right Answer)
Divide-and-Conquer Technique
Dynamic Programming Technique
The algorithm combines more than one of the above techniques
In in-place sorting algorithm is one that uses arrays for storage :
An additional array
No additional array (Right Answer)
Both of above may be true according to algorithm
More than 3 arrays of one dimension.
The running time of quick sort depends heavily on the selection of
No of inputs
Arrangement of elements in array
Size o elements
Pivot element (Right Answer)
In stable sorting algorithm
One array is used
In which duplicating elements are not handled.
More then one arrays are required.
Duplicating elements remain in same relative position after sorting. (Right Answer)
Which sorting algorithn is faster :
O(n^2)
O(nlogn)
O(n+k) (Right Answer)
O(n^3)
In Quick sort algorithm,constants hidden in T(n lg n) are
Large
Medium
Not known
Small (Right Answer)
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 well to conquer the solutin. (Right Answer)
No work is needed to combine the sub-arrays, the array is already sorted
Merging the subarrays
None of above.
There is relationship between number of back edges and number of cycles in DFS
Select correct option:
Both are equal.
Cycles are half of back edges.
Cycles are one fourth of back edges.
There is no relationship between back edges and number of cycle (Right Answer)
You have an adjacency list for G, what is the time complexity to compute Graph
transpose G^T ?
Select correct option:
(V+E) (Right Answer)
V.E
V
E
Question # 3 of 10 ( Start time: 06:54:27 PM ) Total Marks: 1
You have an adjacency list for G, what is the time complexity to compute Graph
transpose G^T.?
?(V + E) Right Answer)
?(V E)
?(V)
?(V^2)
What is the time complexity to extract a vertex from the priority queue in Prim's
algorithm?
Select correct option:
log (V) (Right Answer)
V.V
E.E
log (E)
Dijkstra's algorithm :
Select correct option:
Has greedy approach to find all shortest paths
Has both greedy and Dynamic approach to find all shortest paths
Has greedy approach to compute single source shortest paths to all other vertices (Right Answer)
Has both greedy and dynamic approach to compute single source shortest paths to all other vertices.
What algorithm technique is used in the implementation of Kruskal solution for the
MST?
Greedy Technique (Right Answer)
Divide-and-Conquer Technique
Dynamic Programming Technique
The algorithm combines more than one of the above techniques
What is the time complexity to extract a vertex from the priority queue in Prim's
algorithm?
Select correct option:
O (log E)
? (V)
? (V+E)
O (log V) (Right Answer)
Which is true statement in the following.
Kruskal algorithm is multiple source technique for finding MST.
Kruskal's algorithm is used to find minimum spanning tree of a graph, time complexity of this algorithm is O(EV)
Both of above
Kruskal's algorithm (choose best non-cycle edge) is better than Prim's (choose best Tree edge) when the graph has relatively few edges ) (Right Answer)
The relationship between number of back edges and number of cycles in DFS is,
Both are equal
Back edges are half of cycles
Back edges are one quarter of cycles
There is no relationship between no. of edges and cycles (Right Answer)
Kruskal's algorithm (choose best non-cycle edge) is better than Prim's (choose best tree
edge) when the graph has relatively few edges.
True (Right Answer)
False
What is the time complexity to extract a vertex from the priority queue in Prim's
algorithm?
Select correct option:
log (V)
V.V
E.E
log (E)
Suppose that a graph G = (V,E) is implemented using adjacency lists. What is the complexity of a breadth-first traversal of G?
Select correct option:
O(|V |^2)
O(|V | |E|) (Right Answer)
O(|V |^2|E|)
O(|V | + |E|)
What is generally true of Adjacency List and Adjacency Matrix representations of graphs?
Select correct option:
Lists require less space than matrices but take longer to find the weight of an edge (v1,v2)
Lists require less space than matrices and they are faster to find the weight of an edge (v1, v2) Right Answer)
Lists require more space than matrices and they take longer to find the weight of an edge (v1, v2)
Lists require more space than matrices but are faster to find the weight of an edge (v1, v2)
What general property of the list indicates that the graph has an isolated vertex?
Select correct option:
There is Null pointer at the end of list.
The Isolated vertex is not handled in list. (not Sure)
Only one value is entered in the list.
There is at least one null list.
A dense undirected graph is:
Select correct option:
A graph in which E = O(V^2) (Right Answer)
A graph in which E = O(V)
A graph in which E = O(log V)
All items above may be used to characterize a dense undirected graph
In digraph G=(V,E) ;G has cycle if and only if
Select correct option:
The DFS forest has forward edge.
The DFS forest has back edge (Right Answer)
The DFS forest has both back and forward edge
BFS forest has forward edge
Back edge is:
Select correct option:
(u, v) where v is an ancestor of u in the tree. (Right Answer)
(u,v) where u is an ancesstor of v in the tree.
(u, v) where v is an predcessor of u in the tree.
None of above
Using ASCII standard the string "abacdaacacwe" will be encoded with __________ bits
Select correct option:
64
128 (Right Answer)
96
120
Cross edge is :
Select correct option:
(u, v) where u and v are not ancestor of one another
(u, v) where u is ancesstor of v and v is not descendent of u.
(u, v) where u and v are not ancestor or descendent of one another (Right Answer)
(u, v) where u and v are either ancestor or descendent of one another.
Which statement is true?
Select correct option:
If a dynamic-programming problem satisfies the optimal-substructure property, then a locally optimal solution is globally optimal.
If a greedy choice property satisfies the optimal-substructure property, then a locally optimal solution is globally optimal.
Both of above Right Answer)
None of above
10 If you find yourself in maze the better traversel approach will bE
A dense undirected graph is:
Select correct option:
A graph in which E = O(V^2) (Right Answer)
A graph in which E = O(V)
A graph in which E = O(log V)
All items above may be used to characterize a dense undirected graph
Which is true statement.
Select correct option:
Breadth first search is shortest path algorithm that works on un-weighted graphs (Right Answer)
Depth first search is shortest path algorithm that works on un-weighted graphs.
Both of above are true.
None of above are true.
Forward edge is:
Select correct option:
(u, v) where u is a proper descendent of v in the tree.
(u, v) where v is a proper descendent of u in the tree. (Right Answer)
(u, v) where v is a proper ancesstor of u in the tree.
(u, v) where u is a proper ancesstor of v in the tree.
Back edge is:
Select correct option:
(u, v) where v is an ancestor of u in the tree. (Right Answer)
(u,v) where u is an ancesstor of v in the tree.
(u, v) where v is an predcessor of u in the tree.
None of above
Suppose that a graph G = (V,E) is implemented using adjacency lists. What is the complexity of a breadth-first traversal of G?
Select correct option:
O(|V |^2)
O(|V | |E|) (Right Answer)
O(|V |^2|E|)
O(|V | + |E|)
In digraph G=(V,E) ;G has cycle if and only if
Select correct option:
The DFS forest has forward edge.
The DFS forest has back edge (Right Answer)
The DFS forest has both back and forward edge
BFS forest has forward edge
What general property of the list indicates that the graph has an isolated vertex?
Select correct option:
There is Null pointer at the end of list.
The Isolated vertex is not handled in list. (not Sure)
Only one value is entered in the list.
There is at least one null list.
If you find yourself in maze the better traversel approach will be :
BFS
BFS and DFS both are valid (Right Answer)
Level order
DFS
Cross edge is :
(u, v) where u and v are not ancestor of one another
(u, v) where u is ancesstor of v and v is not descendent of u.
(u, v) where u and v are not ancestor or descendent of one another (Right Answer)
(u, v) where u and v are either ancestor or descendent of one another.
What algorithm technique is used in the implementation of Kruskal solution for the MST?
Greedy Technique (Right Answer)
Divide-and-Conquer Technique
Dynamic Programming Technique
The algorithm combines more than one of the above techniques
Kruskal's algorithm (choose best non-cycle edge) is better than Prim's (choose best tree edge) when the graph has relatively few
True (Right Answer)
False
You have an adjacency list for G, what is the time complexity to compute Graph transpose G^T.?
?(V + E) Right Answer)
? (V E)
? (V)
? (V^2)
A digraph is strongly connected under what condition?
A digraph is strongly connected if for every pair of vertices u, v e V, u can reach v .
A digraph is strongly connected if for every pair of vertices u, v e V, u can reach v and vice versa. (Right Answer)
A digraph is strongly connected if for at least one pair of vertex u, v e V, u can reach v and vice versa.
A digraph is strongly connected if at least one third pair of vertices u, v e V, u can reach v and vice versa.
The relationship between number of back edges and number of cycles in DFS is,
Both are equal
Back edges are half of cycles
Back edges are one quarter of cycles
There is no relationship between no. of edges and cycles (Right Answer)
What algorithm technique is used in the implementation of Kruskal solution for the MST?
Greedy Technique (Right Answer)
Divide-and-Conquer Technique
Dynamic Programming Technique
The algorithm combines more than one of the above techniques
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.
One array is used
More than one arrays are required
Duplicating elements not handled
duplicate elements remain in the same relative position after sorting
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
Theta asymptotic notation for T (n) :
Select correct option:
Set of functions described by: c1g(n)<=f(n) for c1 some constant and n=n0
Set of functions described by c1g(n)>=f(n) for c1 some constant and n=n0
Theta for T(n)is actually upper and worst case complexity of the code
Set of functions described by: c1g(n)<=f(n)<=c2g(n) for c1 and c2 some constants and n=n0
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