## NPTEL Artificial Intelligence : Search Methods For Problem Solving Week 2 Assignment Answers 2024

**GA – State Space Example**

1. What information is available in Week 2 notes (bunch of PDFs) published in the course page?

- About node order and tie breaker
- How to model a problem as a state space search problem
- Some properties of state spaces
- DFS, BFS, DBDFS algorithms and ancillary functions
- DFID-N, DFID-C algorithms and ancillary functions
- Examples of list and tuple operations
- Solved lecture examples
- Solutions to practice assignment problems
- Some problems to demonstrate node order

Answer :-Click Here

2. Which of the following states satisfy the capacity constraints of the 12-9-7 water jug puzzle?

- (3, 2, 7)
- (3, 4, 5)
- (1, 9, 2)
- (0, 4, 8)

Answer :-Click Here

3. From the state (7, 0, 5), which of the following states can be reached in one or more moves?

- (3, 2, 7)
- (3, 4, 5)
- (1, 9, 2)
- (0, 4, 8)

Answer :-

4. From the state (3,2,7) the least number of moves required to reach (2,3,7) is ** ______________** .

Enter an integer.

Answer Format: 17

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5. From the state (2,3,7) the least number of moves required to reach (3,2,7) is ** _________** .

Enter an integer.

Answer Format: 17

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6. Say true or false. In the 12-9-7 water jug puzzle, it is possible to measure all the integral volumes 1L, 2L, …, up to 12L, where each volume measured is present in a single jug.

- True
- False
- Cannot be determined

Answer :-

7. The state space shown above ** ________________** .

- is the full state space for the 12-9-7 water-jug puzzle
- is the subspace reachable from the state (12,0,0)
- satisfies the “reversible state space” property
- does not satisfy the “reversible state space” property

Answer:-Click Here

### GA – CLOSED LIST

1. Which of the following are possible valid orders in which Depth First Search visits the next 5 nodes starting from K?

- K E J P O L
- K J I N P Q
- K E B A D J
- K P Q R O S
- K F L J I N

Answer :-Click Here

2. Which of the following are possible valid orders in which Breadth First Search visits the next 5 nodes starting from K?

- K E J P O L
- K J I N P Q
- K E L O P J
- K P Q R O S
- K F L J I N

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3. Which of the following are possible valid orders in which Depth First Search visits the next 5 nodes starting from G?

- G H G L F C
- G H M L F C
- G L Q P K L
- G L Q W X Z
- G L Q W X W

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4. Which of the following are possible valid orders in which Breadth First Search visits the next 5 nodes starting from G?

- G H G L F C
- G H M F L C
- G L Q P K L
- G F L M H Q
- G F L M H C

Answer :-

### GA – DFS, BFS and DBDFS

1. The BFS search tree is ** _________** .

- Tree 1
- Tree 2
- Tree 3
- Tree 4

Answer :-Click Here

2. When BFS finds the goal node, i.e., when the GoalTest returns true, the NODEs present in OPEN list are ** ____________________** .

The OPEN list contains pairs (NODE,PARENT), ignore the PARENTs and list only the NODEs in the order it occurs in the OPEN list (head to tail).

Enter a comma separated list of nodes, or enter NIL if the list is empty.

Answer Format: X,Y,Z

Answer :-

3. List the nodes inspected by BFS. Enter the nodes in the order they were inspected.

Enter a comma separated list of nodes, or enter NIL if the list is empty.

Answer Format: X,Y,Z

Answer :-

4. What is the path found by BFS?

Enter the path as a comma separated list.

Answer Format: S,X,Y,Z,G

Answer :-

5. The DFS search tree is ** ___________________** .

- Tree 1
- Tree 2
- Tree 3
- Tree 4

Answer :-

6. When DFS finds the goal node, i.e., when the GoalTest returns true, the NODEs present in OPEN list are ______________** __** .

The OPEN list contains pairs (NODE,PARENT), ignore the PARENTs and list only the NODEs in the order it occurs in the OPEN list (head to tail).

Enter a comma separated list of nodes, or enter NIL if the list is empty.

Answer Format: X,Y,Z

Answer :-

7. List the nodes inspected by DFS. Enter the nodes in the order they were inspected.

Enter a comma separated list of nodes, or enter NIL if the list is empty.

Answer Format: X,Y,Z

Answer :-

8. What is the path found by DFS?

Enter the path as a comma separated list.

Answer Format: S,X,Y,Z,G

Answer :-

9. When DBDFS (depthBound=2) finds the goal node, i.e., when the GoalTest returns true, the NODEs present in OPEN list are ** ____________** .

The OPEN list contains pairs (NODE,PARENT), ignore the PARENTs and list only the NODEs in the order it occurs in the OPEN list (head to tail).

Enter a comma separated list of nodes, or enter NIL if the list is empty.

Answer Format: X,Y,Z

Answer :-

10. List the nodes inspected by DBDFS (depthBound=2). Enter the nodes in the order they were inspected.

Enter a comma separated list of nodes, or enter NIL if the list is empty. Answer Format: X,Y,Z

Answer :-Click Here

11. What is the path found by DBDFS (depthBound=2)?

Enter the path as a comma separated list, or enter NIL if no path was found.

Answer Format: S,X,Y,Z,G

Answer :-

12. Which of the following search algorithm(s) always find(s) a path to the goal (if there exists one) in an infinite search space.

- DFS
- BFS
- DFID-C
- None of the above

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13. Mark the algorithm(s) for which space requirements for OPEN grow linearly with depth.

- DFS
- BFS
- DFID-C
- None of the above

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14. Mark the algorithm(s) that always find(s) the shortest path from start state to goal state in any search space.

- DFS
- BFS
- DFID-C
- None of the above

Answer :-Click Here