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AI: Search Methods for Problem Solving · End Term · Sep 2025 · FN

AI: Search Methods for Problem Solving · End Term · Sep 2025 FN

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Question 2 MSQ · 0.0 marks

Source diagram or notation
6406536024862.
Printed graph sheets were provided on time.
6406536024863.
Printed graph sheets were provided late.
6406536024864.
Printed graph sheets were not provided.
6406536024865.
I used the graph sheets.
6406536024866.
I did not use graph sheets.

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Question 3 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,G**

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Question 4 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.
Source diagram or notation

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Question 5 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. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: S,X,Y,Z,G**

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Question 6 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?
6406536024870.Source diagram or notation
6406536024871.Source diagram or notation
6406536024872.Source diagram or notation
6406536024873.Source diagram or notation

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Question 7 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 about the given graph.
6406536024874.
Heuristic is admissible.
6406536024875.
Heuristic is not admissible.
6406536024876.
Heuristic is admissible in some cases and not admissible in other cases.
6406536024877.
There is not enough information to determine admissibility.

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Question 8 NAT · 1.0 marks

**GAMES: ALPHA-BETA** Consider a game tree with the root node as MAX. Alpha-Beta algorithm is in mid-flight currently processing a path from the root to a node labeled N. The snapshot of evals of nodes along the current path is: 2, 14, 4, 10, N. Where evals are restricted to EVEN NUMBERS greater than zero and less than 15. Based on the above data, answer the given subquestions.
Determine the eval of node N that will induce a cutoff to prune its siblings. Enter an even number. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: 16**

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Question 9 MCQ · 1.0 marks

**GAMES: ALPHA-BETA** Consider a game tree with the root node as MAX. Alpha-Beta algorithm is in mid-flight currently processing a path from the root to a node labeled N. The snapshot of evals of nodes along the current path is: 2, 14, 4, 10, N. Where evals are restricted to EVEN NUMBERS greater than zero and less than 15. Based on the above data, answer the given subquestions.
What type of cut-off is induced by the eval selected for N?
6406536024879.
Alpha Cutoff
6406536024880.
Beta Cutoff
6406536024881.
Alpha-Beta Cutoff
6406536024882.
None of these

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Question 10 SHORT_TEXT · 1.0 marks

**GAMES: SSS STAR** The figure shows a game tree with evaluation function values at the horizon nodes. The horizon nodes are labeled from A to D. Use these labels to enter a horizon node or a list of horizon nodes in short answers. **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
Run SSS* algorithm on the game tree, then answer the sub-questions.
Source diagram or notation

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Question 11 SHORT_TEXT · 1.0 marks

**GAMES: SSS STAR** The figure shows a game tree with evaluation function values at the horizon nodes. The horizon nodes are labeled from A to D. Use these labels to enter a horizon node or a list of horizon nodes in short answers. **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
Run SSS* algorithm on the game tree, then answer the sub-questions.
Source diagram or notation

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Question 12 SHORT_TEXT · 1.0 marks

**PROBLEM DECOMPOSITION** The figure shows an AND-OR decomposition of problem S into smaller problems. The nodes are uniquely identified by labels (S, A, B, C, …). Each node shows the heuristic estimate of the cost of solving that node. Nodes shown in double lines are primitive nodes and their values are actual costs. A primitive node is added to the graph, with SOLVED status, when its parent is expanded. And therefore, a primitive node is never expanded. **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, select the unsolved branch with the highest cost.
Source diagram or notation
Use AO* algorithm to solve S, then answer the sub-questions.
Source diagram or notation

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Question 13 SHORT_TEXT · 1.0 marks

**PROBLEM DECOMPOSITION** The figure shows an AND-OR decomposition of problem S into smaller problems. The nodes are uniquely identified by labels (S, A, B, C, …). Each node shows the heuristic estimate of the cost of solving that node. Nodes shown in double lines are primitive nodes and their values are actual costs. A primitive node is added to the graph, with SOLVED status, when its parent is expanded. And therefore, a primitive node is never expanded. **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, select the unsolved branch with the highest cost.
Source diagram or notation
Use AO* algorithm to solve S, then answer the sub-questions.
Source diagram or notation

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Question 14 MCQ · 1.0 marks

**PROBLEM DECOMPOSITION** The figure shows an AND-OR decomposition of problem S into smaller problems. The nodes are uniquely identified by labels (S, A, B, C, …). Each node shows the heuristic estimate of the cost of solving that node. Nodes shown in double lines are primitive nodes and their values are actual costs. A primitive node is added to the graph, with SOLVED status, when its parent is expanded. And therefore, a primitive node is never expanded. **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, select the unsolved branch with the highest cost.
Source diagram or notation
Use AO* algorithm to solve S, then answer the sub-questions.
What can you conclude about the given AND-OR decomposition?
6406536024887.
The heuristic is admissible.
6406536024888.
The heuristic is inadmissible.
6406536024889.
The heuristic is sometimes admissible and sometimes inadmissible.

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Question 15 MSQ · 1.0 marks

**RULE BASED EXPERT SYSTEMS** A Rete Net for classification of vehicles is shown in the figure. Labels A1, A2, A3, ..., A10, A11, A12, A13, ..., and B1, B2, B3 uniquely identify nodes in the network. When required, use the above label ordering to **break ties** and to enter short answers.
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 WMEs in the Alpha nodes.
Source diagram or notation
For each WME identify its location (node label) in the Rete Net, then prepare the conflict set for the first Match-Resolve-Execute cycle, then answer the sub-questions.
Which of the following rule-data tuples occur in the conflict set?
6406536024890.
Luxury-Car,104,107
6406536024891.
Minivan,103,106
6406536024892.
Truck,101,102,105
6406536024893.
Minivan,103,106,108

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Question 16 MCQ · 1.0 marks

**RULE BASED EXPERT SYSTEMS** A Rete Net for classification of vehicles is shown in the figure. Labels A1, A2, A3, ..., A10, A11, A12, A13, ..., and B1, B2, B3 uniquely identify nodes in the network. When required, use the above label ordering to **break ties** and to enter short answers.
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 WMEs in the Alpha nodes.
Source diagram or notation
For each WME identify its location (node label) in the Rete Net, then prepare the conflict set for the first Match-Resolve-Execute cycle, then answer the sub-questions.
If the Inference Engine uses **Specificity** for conflict resolution then which rule-data tuple will fire in the first round?
6406536024894.
Luxury-Car,104,107
6406536024895.
Minivan,103,106
6406536024896.
Truck,101,102,105
6406536024897.
Minivan,103,106,108

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Question 17 MCQ · 1.0 marks

**RULE BASED EXPERT SYSTEMS** A Rete Net for classification of vehicles is shown in the figure. Labels A1, A2, A3, ..., A10, A11, A12, A13, ..., and B1, B2, B3 uniquely identify nodes in the network. When required, use the above label ordering to **break ties** and to enter short answers.
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 WMEs in the Alpha nodes.
Source diagram or notation
For each WME identify its location (node label) in the Rete Net, then prepare the conflict set for the first Match-Resolve-Execute cycle, then answer the sub-questions.
If the Inference Engine uses **Recency** for conflict resolution which rule-data tuple will fire in the first round?
6406536024898.
Luxury-Car,104,107
6406536024899.
Minivan,103,106
6406536024900.
Truck,101,102,105
6406536024901.
Minivan,103,106,108

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Question 18 MCQ · 1.0 marks

**AUTOMATED PLANNING 1** Answer the given subquestions.
Consider actions a and b and two **feasible** orderings (a then b) and (b then a). Which of the following conditions will produce different outcomes for each ordering?
6406536024902.
P is in pre(a) and also in del-effects(b).
6406536024903.
P is in add-effects(a) and also in del-effects(b).
6406536024904.
None of these.

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Question 19 MSQ · 1.0 marks

**AUTOMATED PLANNING 1** Answer the given subquestions.
In planning graphs constructed by GraphPlan, actions a and b in layer n are mutex __________ .
6406536024905.
if P in pre(a) and Q in pre(b) are mutex
6406536024906.
if P is in pre(a), in del-effects(a), in pre(b) and also in del-effects(b)
6406536024907.
if P is in pre(a) and also in del-effects(b)
6406536024908.
if P is in add-effects(a) and also in del-effects(b)

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Question 20 MCQ · 1.0 marks

**AUTOMATED PLANNING 1** Answer the given subquestions.
In planning graphs constructed by GraphPlan, propositions P and Q in layer n are mutex __________ .
6406536024909.
if every action pair (a,b) with P in add-effects(a) and Q in add-effects(b) in layer n is mutex
6406536024910.
if at least one action pair (a,b) with P in add-effects(a) and Q in add-effects(b) in layer n is mutex
6406536024911.
none of these

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Question 21 MCQ · 1.0 marks

**AUTOMATED PLANNING 2** The domain description of a Blocks World with a single one-armed robot is given below.
Source diagram or notation
The GraphPlan algorithm is in mid-flight solving a planning problem, from the planning graph two consecutive propositional layers (layer k and k+1) are presented in the figure. Both proposition layers are fully populated (no missing propositions).
Source diagram or notation
Mutex proposition pairs in layer k are: (on(A,B), holding(A)), (on(A,B), clear(B)), (armEmpty, clear(B)), (armEmpty, holding(A)). Populate the action layer and mutex links, then answer the sub-questions.
What can you conclude about layer k?
6406536024912.
Layer k describes the start state of the planning problem.
6406536024913.
Layer k cannot describe the start state of the planning problem.
6406536024914.
There is insufficient information to comment on layer k.

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Question 22 MSQ · 1.0 marks

**AUTOMATED PLANNING 2** The domain description of a Blocks World with a single one-armed robot is given below.
Source diagram or notation
The GraphPlan algorithm is in mid-flight solving a planning problem, from the planning graph two consecutive propositional layers (layer k and k+1) are presented in the figure. Both proposition layers are fully populated (no missing propositions).
Source diagram or notation
Mutex proposition pairs in layer k are: (on(A,B), holding(A)), (on(A,B), clear(B)), (armEmpty, clear(B)), (armEmpty, holding(A)). Populate the action layer and mutex links, then answer the sub-questions.
Which of the following are **applicable** actions in layer k+1?
6406536024915.
Putdown(A)
6406536024916.
Stack(A,B)
6406536024917.
Unstack(A,B)
6406536024918.
Unstack(B,C)

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Question 23 MSQ · 1.0 marks

**AUTOMATED PLANNING 2** The domain description of a Blocks World with a single one-armed robot is given below.
Source diagram or notation
The GraphPlan algorithm is in mid-flight solving a planning problem, from the planning graph two consecutive propositional layers (layer k and k+1) are presented in the figure. Both proposition layers are fully populated (no missing propositions).
Source diagram or notation
Mutex proposition pairs in layer k are: (on(A,B), holding(A)), (on(A,B), clear(B)), (armEmpty, clear(B)), (armEmpty, holding(A)). Populate the action layer and mutex links, then answer the sub-questions.
Which of the following are **mutex** pairs in layer k+1?
6406536024919.
Putdown(A) and Stack(A,B)
6406536024920.
Stack(A,B) and Unstack(A,B)
6406536024921.
nop-3 and nop-4

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Question 24 MCQ · 1.0 marks

**AUTOMATED PLANNING 2** The domain description of a Blocks World with a single one-armed robot is given below.
Source diagram or notation
The GraphPlan algorithm is in mid-flight solving a planning problem, from the planning graph two consecutive propositional layers (layer k and k+1) are presented in the figure. Both proposition layers are fully populated (no missing propositions).
Source diagram or notation
Mutex proposition pairs in layer k are: (on(A,B), holding(A)), (on(A,B), clear(B)), (armEmpty, clear(B)), (armEmpty, holding(A)). Populate the action layer and mutex links, then answer the sub-questions.
armEmpty and clear(B) in layer k+1 are non mutex because __________ .
6406536024922.
nop-3 and nop-4 are non mutex
6406536024923.
PutDown(A) and nop-4 are non mutex
6406536024924.
None of these

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Question 25 MCQ · 1.0 marks

**CONSTRAINT SATISFACTION** Consider a CSP over 3 variables A, B, C (processed in that order) with domains and constraints as shown below.
Source diagram or notation
Draw the constraint graph and matching-diagram then answer the sub-questions.
Is the given CSP arc consistent?
6406536024925.
Yes
6406536024926.
No
6406536024927.
Cannot be determined

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Question 26 MCQ · 1.0 marks

**CONSTRAINT SATISFACTION** Consider a CSP over 3 variables A, B, C (processed in that order) with domains and constraints as shown below.
Source diagram or notation
Draw the constraint graph and matching-diagram then answer the sub-questions.
If the given CSP is not already arc consistent, make it arc consistent, then check if it is path consistent.
6406536024928.
It is path consistent.
6406536024929.
It is not path consistent.
6406536024930.
Path consistency does not apply because the constraint graph is cyclic.

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Question 27 SHORT_TEXT · 1.0 marks

**CONSTRAINT SATISFACTION** Consider a CSP over 3 variables A, B, C (processed in that order) with domains and constraints as shown below.
Source diagram or notation
Draw the constraint graph and matching-diagram then answer the sub-questions.
Does the given CSP have a solution? Enter the solution for the variables A,B,C as a comma separated list. Enter NIL if there is no solution. NO SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS. **Answer format: 1,2,3**

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