Code No: R05321904

R05

Set No. 2

1. (a) Derive a time complexity of Quicksort in average case.

[8+8]

ld .

(b) Explain the divide and conquer method with an example.

in

III B.Tech II Semester Examinations,APRIL 2011 DESIGN AND ANALYSIS OF ALGORITHMS Electronics And Computer Engineering Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????

2. (a) Explain live node, E-node and dead node with an example.

(b) Explain the method of reduction to solve TSP problem using Branch and Bound. [8+8] 3. (a) Prove that Prim’s algorithm finds a minimum spanning tree.

or

(b) Explain the single source shortest path using Greedy method with an example. [8+8]

4. (a) Let w = {5, 7, 10, 12, 15, 18, 20} and m=35. Find all possible subsets of w that sum to m. Draw the portion of the state space tree that is generated.

uW

(b) Compare and Contrast Brute force approach and Backtracking.

[10+6]

5. (a) Explain about cook’s theorem.

(b) Explain the strategy to prove that a problem is NP hard.

[8+8]

Aj

nt

6. (a) Find the shortest tour of a TSP for the following graph (figure 2a) using dynamic programming.

Figure 2a (b) Design a θ (n ) algorithm for finding an optimal Binary search tree. 2

[8+8]

7. (a) Explain the BFS algorithm with an example. (b) The Preorder and Postorder sequences of a binary tree do not uniquely define the binary tree. Justify the answer. [8+8] 8. (a) Write an algorithm to find the largest of given ‘n’numbers. Derive its time complexity. 1

Code No: R05321904

R05

Set No. 2

(b) Differentiate between profilling and debugging.

[10+6]

Aj

nt

uW

or

ld .

in

?????

2

Code No: R05321904

R05

Set No. 4

in

III B.Tech II Semester Examinations,APRIL 2011 DESIGN AND ANALYSIS OF ALGORITHMS Electronics And Computer Engineering Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Write an algorithm to find the largest of given ‘n’numbers. Derive its time complexity.

[10+6]

ld .

(b) Differentiate between profilling and debugging.

uW

or

2. (a) Find the shortest tour of a TSP for the following graph (figure 2a) using dynamic programming.

Figure 2a (b) Design a θ (n2 ) algorithm for finding an optimal Binary search tree.

[8+8]

3. (a) Explain live node, E-node and dead node with an example. (b) Explain the method of reduction to solve TSP problem using Branch and Bound. [8+8]

nt

4. (a) Let w = {5, 7, 10, 12, 15, 18, 20} and m=35. Find all possible subsets of w that sum to m. Draw the portion of the state space tree that is generated. (b) Compare and Contrast Brute force approach and Backtracking.

[10+6]

5. (a) Derive a time complexity of Quicksort in average case.

Aj

(b) Explain the divide and conquer method with an example.

[8+8]

6. (a) Prove that Prim’s algorithm finds a minimum spanning tree. (b) Explain the single source shortest path using Greedy method with an example. [8+8]

7. (a) Explain the BFS algorithm with an example. (b) The Preorder and Postorder sequences of a binary tree do not uniquely define the binary tree. Justify the answer. [8+8] 8. (a) Explain about cook’s theorem. 3

Code No: R05321904

R05

Set No. 4

(b) Explain the strategy to prove that a problem is NP hard.

[8+8]

Aj

nt

uW

or

ld .

in

?????

4

Code No: R05321904

R05

Set No. 1

1. (a) Explain about cook’s theorem.

[8+8]

ld .

(b) Explain the strategy to prove that a problem is NP hard.

in

III B.Tech II Semester Examinations,APRIL 2011 DESIGN AND ANALYSIS OF ALGORITHMS Electronics And Computer Engineering Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????

2. (a) Derive a time complexity of Quicksort in average case.

(b) Explain the divide and conquer method with an example.

[8+8]

3. (a) Explain the BFS algorithm with an example.

or

(b) The Preorder and Postorder sequences of a binary tree do not uniquely define the binary tree. Justify the answer. [8+8] 4. (a) Write an algorithm to find the largest of given ‘n’ numbers. Derive its time complexity.

(b) Differentiate between profilling and debugging.

[10+6]

nt

uW

5. (a) Find the shortest tour of a TSP for the following graph (figure 2a) using dynamic programming.

Figure 2a (b) Design a θ (n ) algorithm for finding an optimal Binary search tree. 2

[8+8]

Aj

6. (a) Let w = {5, 7, 10, 12, 15, 18, 20} and m=35. Find all possible subsets of w that sum to m. Draw the portion of the state space tree that is generated. (b) Compare and Contrast Brute force approach and Backtracking.

[10+6]

7. (a) Prove that Prim’s algorithm finds a minimum spanning tree. (b) Explain the single source shortest path using Greedy method with an example. [8+8]

8. (a) Explain live node, E-node and dead node with an example.

5

Code No: R05321904

R05

Set No. 1

(b) Explain the method of reduction to solve TSP problem using Branch and Bound. [8+8]

Aj

nt

uW

or

ld .

in

?????

6

Code No: R05321904

R05

Set No. 3

1. (a) Explain live node, E-node and dead node with an example.

in

III B.Tech II Semester Examinations,APRIL 2011 DESIGN AND ANALYSIS OF ALGORITHMS Electronics And Computer Engineering Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????

ld .

(b) Explain the method of reduction to solve TSP problem using Branch and Bound. [8+8]

uW

or

2. (a) Find the shortest tour of a TSP for the following graph (figure 2a) using dynamic programming.

Figure 2a (b) Design a θ (n2 ) algorithm for finding an optimal Binary search tree.

[8+8]

3. (a) Derive a time complexity of Quicksort in average case. (b) Explain the divide and conquer method with an example.

[8+8]

nt

4. (a) Let w = {5, 7, 10, 12, 15, 18, 20} and m=35. Find all possible subsets of w that sum to m. Draw the portion of the state space tree that is generated. (b) Compare and Contrast Brute force approach and Backtracking.

[10+6]

5. (a) Write an algorithm to find the largest of given ‘n’ numbers. Derive its time complexity.

Aj

(b) Differentiate between profilling and debugging.

[10+6]

6. (a) Explain about cook’s theorem. (b) Explain the strategy to prove that a problem is NP hard.

[8+8]

7. (a) Explain the BFS algorithm with an example. (b) The Preorder and Postorder sequences of a binary tree do not uniquely define the binary tree. Justify the answer. [8+8] 8. (a) Prove that Prim’s algorithm finds a minimum spanning tree.

7

Code No: R05321904

R05

Set No. 3

(b) Explain the single source shortest path using Greedy method with an example. [8+8]

Aj

nt

uW

or

ld .

in

?????

8

R05 Set No. 2

(a) Explain live node, E-node and dead node with an example. (b) Explain the method of reduction to solve TSP problem using Branch and · Bound. [8+8] · 3. (a) Prove that Prim's algorithm finds a minimum spanning tree. (b) Explain the single source shortest path using Greedy method with an example. [8+8] · 4. (a) Let w ...

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