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AI: Search Methods for Problem Solving · End Term · May 2025 · AN

AI: Search Methods for Problem Solving · End Term · May 2025 AN

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Question 79 MSQ · 0.0 marks

Source diagram or notation
6406534785374.
Printed graph sheets were provided on time.
6406534785375.
Printed graph sheets were provided late.
6406534785376.
Printed graph sheets were not provided.
6406534785377.
I used the graph sheets.
6406534785378.
I did not use graph sheets.

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Question 80 SHORT_TEXT · 1.0 marks

**SEARCH** The figure shows a map on a uniform grid where each tile is 1x1 in size. The start node is S and the goal node is G. The MoveGen function returns nodes in alphabetical order. Use Manhattan Distance as the heuristic function. **Tie-breaker:** If several nodes have the same cost, use node labels to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
What is the path found by the Best First Search algorithm? Enter the path as a comma separated list of node labels. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: S,X,Y,Z**

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Question 81 SHORT_TEXT · 1.0 marks

**SEARCH** The figure shows a map on a uniform grid where each tile is 1x1 in size. The start node is S and the goal node is G. The MoveGen function returns nodes in alphabetical order. Use Manhattan Distance as the heuristic function. **Tie-breaker:** If several nodes have the same cost, use node labels to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
What is the path found by A* search algorithm? Enter the path as a comma separated list of node labels. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: S,X,Y,Z**

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Question 82 SHORT_TEXT · 1.0 marks

**SEARCH** The figure shows a map on a uniform grid where each tile is 1x1 in size. The start node is S and the goal node is G. The MoveGen function returns nodes in alphabetical order. Use Manhattan Distance as the heuristic function. **Tie-breaker:** If several nodes have the same cost, use node labels to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
What is the path found by Branch-and-Bound search algorithm? Enter the path as a comma separated list of node labels. Use the Branch-and-Bound variation that avoids cyclic expansions like S,B,S,B,S,B,... NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: S,X,Y,Z**

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Question 83 MCQ · 1.0 marks

**SEARCH** The figure shows a map on a uniform grid where each tile is 1x1 in size. The start node is S and the goal node is G. The MoveGen function returns nodes in alphabetical order. Use Manhattan Distance as the heuristic function. **Tie-breaker:** If several nodes have the same cost, use node labels to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
For the given map, which algorithm finds the shortest path from S to G?
6406534785382.Source diagram or notation
6406534785383.Source diagram or notation
6406534785384.Source diagram or notation
6406534785385.Source diagram or notation

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Question 84 MCQ · 1.0 marks

**SEARCH** The figure shows a map on a uniform grid where each tile is 1x1 in size. The start node is S and the goal node is G. The MoveGen function returns nodes in alphabetical order. Use Manhattan Distance as the heuristic function. **Tie-breaker:** If several nodes have the same cost, use node labels to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
Select the correct statement(s) about the given graph.
6406534785386.
Heuristic is admissible.
6406534785387.
Heuristic is not admissible.
6406534785388.
Heuristic is admissible in some cases and not admissible in other cases.
6406534785389.
There is not enough information to determine admissibility.

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Question 85 SHORT_TEXT · 1.0 marks

**TSP BnB** TSP BnB algorithm is solving a TSP instance where the cities are A, B, C, .... and so on. The BnB search tree (at the point when the algorithm discovers the optimal tour) is provided below. Each node in the search tree displays an edge (either XY or ¬XY), a cost value, and a unique reference number (a1, b1, ..., c1, ..., d1, ..., e1, e2). Use the reference numbers to break ties. When required, use reference numbers in short answers. What information can you glean from the search tree? Answer the sub-questions based on the information gleaned from the search tree.
Source diagram or notation
Let S0 (ref. no. a1) be the first node to be refined, identify the next 4 nodes (2nd to 5th node) that are refined by the TSP BnB algorithm. Enter the nodes (node reference numbers) in the order they are refined. Enter a comma separated list of node reference numbers. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: a9,b9,c9,d9**

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Question 86 SHORT_TEXT · 1.0 marks

**TSP BnB** TSP BnB algorithm is solving a TSP instance where the cities are A, B, C, .... and so on. The BnB search tree (at the point when the algorithm discovers the optimal tour) is provided below. Each node in the search tree displays an edge (either XY or ¬XY), a cost value, and a unique reference number (a1, b1, ..., c1, ..., d1, ..., e1, e2). Use the reference numbers to break ties. When required, use reference numbers in short answers. What information can you glean from the search tree? Answer the sub-questions based on the information gleaned from the search tree.
Source diagram or notation
Which node represents the optimal tour? Enter the node reference number in the text box, or enter NIL if it is not possible to determine the optimal tour. Enter a node reference number. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: a9**

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Question 87 SHORT_TEXT · 1.0 marks

**TSP BnB** TSP BnB algorithm is solving a TSP instance where the cities are A, B, C, .... and so on. The BnB search tree (at the point when the algorithm discovers the optimal tour) is provided below. Each node in the search tree displays an edge (either XY or ¬XY), a cost value, and a unique reference number (a1, b1, ..., c1, ..., d1, ..., e1, e2). Use the reference numbers to break ties. When required, use reference numbers in short answers. What information can you glean from the search tree? Answer the sub-questions based on the information gleaned from the search tree.
Source diagram or notation
What is the cost of the optimal tour? Enter the cost of the optimal tour in the text box, or enter NIL if it is not possible to determine the optimal tour. Enter an integer. NO SPACES, TABS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: 42**

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Question 88 SHORT_TEXT · 1.0 marks

**TSP BnB** TSP BnB algorithm is solving a TSP instance where the cities are A, B, C, .... and so on. The BnB search tree (at the point when the algorithm discovers the optimal tour) is provided below. Each node in the search tree displays an edge (either XY or ¬XY), a cost value, and a unique reference number (a1, b1, ..., c1, ..., d1, ..., e1, e2). Use the reference numbers to break ties. When required, use reference numbers in short answers. What information can you glean from the search tree? Answer the sub-questions based on the information gleaned from the search tree.
Source diagram or notation
Determine the number of cities in the TSP instance. Enter the number of cities in the text box, or enter NIL if it is not possible to determine the number of cities. Enter an integer. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: 42**

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Question 89 SHORT_TEXT · 1.0 marks

**TSP BnB** TSP BnB algorithm is solving a TSP instance where the cities are A, B, C, .... and so on. The BnB search tree (at the point when the algorithm discovers the optimal tour) is provided below. Each node in the search tree displays an edge (either XY or ¬XY), a cost value, and a unique reference number (a1, b1, ..., c1, ..., d1, ..., e1, e2). Use the reference numbers to break ties. When required, use reference numbers in short answers. What information can you glean from the search tree? Answer the sub-questions based on the information gleaned from the search tree.
Source diagram or notation
Start from city A, what is the path representation of the optimal tour? Enter the path representation in the text box, or enter NIL if it is not possible to determine the optimal tour. Enter a comma separated list of cities (city labels). NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: A,B,C**

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Question 90 MSQ · 1.0 marks

**GAMES** The figure shows a game tree with evaluation function values at the leaf nodes. The leaf nodes are labeled from A to K. Use these labels to enter a leaf node or a list of leaf nodes in short answers (textbox). **Tie-breaker:** When several nodes carry the same best cost then select the deepest node, if tie persists then select the leftmost of the deepest nodes to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
Which of the following is a strategy for the MAX player?
6406534785395.
I,K
6406534785396.
E,F,G
6406534785397.
E,F
6406534785398.
I,J,K

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Question 91 SHORT_TEXT · 1.0 marks

**GAMES** The figure shows a game tree with evaluation function values at the leaf nodes. The leaf nodes are labeled from A to K. Use these labels to enter a leaf node or a list of leaf nodes in short answers (textbox). **Tie-breaker:** When several nodes carry the same best cost then select the deepest node, if tie persists then select the leftmost of the deepest nodes to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
List the leaf nodes in the best strategy for MAX. Enter the node labels in alphabetical order. Enter a comma separated list of node labels in alphabetical order. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: X,Y,Z**

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Question 92 SHORT_TEXT · 1.0 marks

**GAMES** The figure shows a game tree with evaluation function values at the leaf nodes. The leaf nodes are labeled from A to K. Use these labels to enter a leaf node or a list of leaf nodes in short answers (textbox). **Tie-breaker:** When several nodes carry the same best cost then select the deepest node, if tie persists then select the leftmost of the deepest nodes to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
List the leaf nodes inspected by Alpha-Beta algorithm. Enter a comma separated list of node labels in alphabetical order. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: X,Y,Z**

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Question 93 SHORT_TEXT · 1.0 marks

**GAMES** The figure shows a game tree with evaluation function values at the leaf nodes. The leaf nodes are labeled from A to K. Use these labels to enter a leaf node or a list of leaf nodes in short answers (textbox). **Tie-breaker:** When several nodes carry the same best cost then select the deepest node, if tie persists then select the leftmost of the deepest nodes to break the tie.
Source diagram or notation
Based on the above data, answer the given subquestions.
Source diagram or notation

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Question 94 SHORT_TEXT · 1.0 marks

**PROBLEM DECOMPOSITION** The figure shows an AND-OR graph that depicts how a problem S can be decomposed into one or more smaller problems. Nodes are uniquely identified by labels (S, A, B, …). The number in each node is the heuristic estimate of the cost of solving that node. Nodes shown in double lines are primitive nodes and their values are actual costs. Observe that a primitive node is added to the graph by its parent when the parent is expanded, and the primitive node is labeled as SOLVED and it will not be expanded subsequently. **The cost of each edge is 2 units.** **Tie-breaker 1:** If several nodes have the same cost then break the tie using node labels. **Tie-breaker 2:** For AND nodes, expand the unsolved branch with the highest cost.
Source diagram or notation
Use AO* algorithm to solve S, then answer the subquestions.
Source diagram or notation

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Question 95 SHORT_TEXT · 1.0 marks

**PROBLEM DECOMPOSITION** The figure shows an AND-OR graph that depicts how a problem S can be decomposed into one or more smaller problems. Nodes are uniquely identified by labels (S, A, B, …). The number in each node is the heuristic estimate of the cost of solving that node. Nodes shown in double lines are primitive nodes and their values are actual costs. Observe that a primitive node is added to the graph by its parent when the parent is expanded, and the primitive node is labeled as SOLVED and it will not be expanded subsequently. **The cost of each edge is 2 units.** **Tie-breaker 1:** If several nodes have the same cost then break the tie using node labels. **Tie-breaker 2:** For AND nodes, expand the unsolved branch with the highest cost.
Source diagram or notation
Use AO* algorithm to solve S, then answer the subquestions.
Determine the value of the start node S after each node is expanded. Enter the value of S after each node is expanded. Enter a comma separated list of numbers. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: 12,42,17**

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Question 96 NAT · 1.0 marks

**PROBLEM DECOMPOSITION** The figure shows an AND-OR graph that depicts how a problem S can be decomposed into one or more smaller problems. Nodes are uniquely identified by labels (S, A, B, …). The number in each node is the heuristic estimate of the cost of solving that node. Nodes shown in double lines are primitive nodes and their values are actual costs. Observe that a primitive node is added to the graph by its parent when the parent is expanded, and the primitive node is labeled as SOLVED and it will not be expanded subsequently. **The cost of each edge is 2 units.** **Tie-breaker 1:** If several nodes have the same cost then break the tie using node labels. **Tie-breaker 2:** For AND nodes, expand the unsolved branch with the highest cost.
Source diagram or notation
Use AO* algorithm to solve S, then answer the subquestions.
Source diagram or notation

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Question 97 MSQ · 1.0 marks

**RULE BASED EXPERT SYSTEMS** A Rete Net for a rule based system to identify engines, turbines and motors is shown in the figure. Here, BoM refers to Bill-of-Materials, which is a list of parts and their quantities needed for assembling a machine. The nodes in the network are uniquely identified by labels: A1,A2,... for Alpha nodes; B1,B2,... for beta nodes; R1,R2,... for rules.
Source diagram or notation
The Working Memory contains the following WMEs uniquely identified by timestamps (sequence numbers). Assume that WMEs reside in the appropriate Alpha node, and Beta nodes simply point to elements in the ancestor Alpha nodes.
Source diagram or notation
The sub-questions are based on the first Match-Resolve-Execute cycle. Determine the locations of the WMEs and compute the conflict set, then answer the given sub-questions.
Which of the following rule-data tuples occur in the conflict set?
6406534785405.
(Liquid-Fuel-Rocket, 102, 107)
6406534785406.
(Solid-Fuel-Rocket, 107, 101)
6406534785407.
(Windmill, 105, 104)
6406534785408.
(Generator, 104)
6406534785409.
(Generator, 106)
6406534785410.
(Rocket, 107)

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Question 98 MCQ · 1.0 marks

**RULE BASED EXPERT SYSTEMS** A Rete Net for a rule based system to identify engines, turbines and motors is shown in the figure. Here, BoM refers to Bill-of-Materials, which is a list of parts and their quantities needed for assembling a machine. The nodes in the network are uniquely identified by labels: A1,A2,... for Alpha nodes; B1,B2,... for beta nodes; R1,R2,... for rules.
Source diagram or notation
The Working Memory contains the following WMEs uniquely identified by timestamps (sequence numbers). Assume that WMEs reside in the appropriate Alpha node, and Beta nodes simply point to elements in the ancestor Alpha nodes.
Source diagram or notation
The sub-questions are based on the first Match-Resolve-Execute cycle. Determine the locations of the WMEs and compute the conflict set, then answer the given sub-questions.
If the Inference Engine uses **Specificity** for conflict resolution then which rule-data tuple will fire in the first round?
6406534785411.
(Liquid-Fuel-Rocket, 102, 107)
6406534785412.
(Solid-Fuel-Rocket, 107, 101)
6406534785413.
(Windmill, 105, 104)
6406534785414.
(Generator, 104)
6406534785415.
(Generator, 106)
6406534785416.
(Rocket, 107)

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Question 99 MCQ · 1.0 marks

**RULE BASED EXPERT SYSTEMS** A Rete Net for a rule based system to identify engines, turbines and motors is shown in the figure. Here, BoM refers to Bill-of-Materials, which is a list of parts and their quantities needed for assembling a machine. The nodes in the network are uniquely identified by labels: A1,A2,... for Alpha nodes; B1,B2,... for beta nodes; R1,R2,... for rules.
Source diagram or notation
The Working Memory contains the following WMEs uniquely identified by timestamps (sequence numbers). Assume that WMEs reside in the appropriate Alpha node, and Beta nodes simply point to elements in the ancestor Alpha nodes.
Source diagram or notation
The sub-questions are based on the first Match-Resolve-Execute cycle. Determine the locations of the WMEs and compute the conflict set, then answer the given sub-questions.
If the Inference Engine uses **Recency** for conflict resolution which rule-data tuple will fire in the first round?
6406534785417.
(Liquid-Fuel-Rocket, 102, 107)
6406534785418.
(Solid-Fuel-Rocket, 107, 101)
6406534785419.
(Windmill, 105, 104)
6406534785420.
(Generator, 104)
6406534785421.
(Generator, 106)
6406534785422.
(Rocket, 107)

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Question 100 MSQ · 1.0 marks

**AUTOMATED PLANNING** The domain description of a Blocks World with a single one-armed robot is given below.
Source diagram or notation
Consider the following planning problem.
Source diagram or notation
Based on the above data, answer the given subquestions.
Which of the following are **applicable** actions in the start state?
6406534785423.
Putdown(D)
6406534785424.
Unstack(D,A)
6406534785425.
Unstack(E,B)
6406534785426.
Pickup(C)
6406534785427.
Pickup(A)
6406534785428.
Stack(A,B)
6406534785429.
Stack(B,C)

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Question 101 MSQ · 1.0 marks

**AUTOMATED PLANNING** The domain description of a Blocks World with a single one-armed robot is given below.
Source diagram or notation
Consider the following planning problem.
Source diagram or notation
Based on the above data, answer the given subquestions.
Which of the following are **relevant** actions in the goal state?
6406534785430.
Putdown(D)
6406534785431.
Unstack(D,A)
6406534785432.
Unstack(E,B)
6406534785433.
Pickup(C)
6406534785434.
Pickup(A)
6406534785435.
Stack(A,B)
6406534785436.
Stack(B,C)

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Question 102 MSQ · 1.0 marks

**AUTOMATED PLANNING** The domain description of a Blocks World with a single one-armed robot is given below.
Source diagram or notation
Consider the following planning problem.
Source diagram or notation
Based on the above data, answer the given subquestions.
In the planning graph, which of the following are mutex action pairs in Layer 1?
6406534785437.
Unstack(D,A), Pickup(C)
6406534785438.
Unstack(D,A), Unstack(E,B)
6406534785439.
Pickup(C), Stack(A,B)
6406534785440.
Pickup(C), Stack(B,C)

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Question 103 MSQ · 1.0 marks

**AUTOMATED PLANNING** The domain description of a Blocks World with a single one-armed robot is given below.
Source diagram or notation
Consider the following planning problem.
Source diagram or notation
Based on the above data, answer the given subquestions.
In the planning graph, which of the following are mutex proposition pairs in Layer 1?
6406534785441.
clear(A), holding(E)
6406534785442.
clear(A), clear(B)
6406534785443.
clear(C), on(D,A)
6406534785444.
clear(C), holding(E)

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Question 104 MCQ · 1.0 marks

**CONSTRAINT SATISFACTION**
Source diagram or notation
Is the given CSP arc consistent?
6406534785445.
Yes
6406534785446.
No
6406534785447.
Cannot be determined

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Question 105 MCQ · 1.0 marks

**CONSTRAINT SATISFACTION**
Source diagram or notation
Is the given CSP path consistent?
6406534785448.
No
6406534785449.
Yes
6406534785450.
Cannot be determined

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Question 106 SHORT_TEXT · 1.0 marks

**CONSTRAINT SATISFACTION**
Source diagram or notation
Does the given CSP have a solution? Enter the solution for regions A,B,C as a comma separated list of colours. Enter NIL if there is no solution. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: r,b,r**

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Report a correction for Q106