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AI: Search Methods for Problem Solving · Quiz 1 · Sep 2023

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Question 19 NAT · 5.0 marks

[[IMAGE:cbe30d1d59dadcec_1_0]]
Source diagram or notation

    A published solution is not available for this question yet.

    Question 21 MSQ · 2.0 marks

    **STATE SPACE** Recall the rabbits crossing puzzle from the practice assignment. Two groups of rabbits, each group at opposite ends of a path, want to cross the path by making only forward jumps: a rabbit can jump forward to an adjacent empty spot, or jump forward over one rabbit and land in an empty spot. [[IMAGE:cbe30d1d59dadcec_3_1]] The start state is **(R-LL)**, where **R** is a rabbit that wants to go right, and **L** is a rabbit that wants to go left, and the dash marks the empty spot. Construct all the states that are reachable from the start state and build a state space graph out of those states, call it Graph-12. Based on the above data, answer the given subquestions.
    Which of the following states are reachable from the start state in exactly 3 moves?
    Source diagram or notation
    1. (LRL-)
    2. (L-RL)
    3. (RLL-)
    4. (L-LR)
    5. (LL-R)

    A published solution is not available for this question yet.

    Question 22 NAT · 1.0 marks

    **STATE SPACE** Recall the rabbits crossing puzzle from the practice assignment. Two groups of rabbits, each group at opposite ends of a path, want to cross the path by making only forward jumps: a rabbit can jump forward to an adjacent empty spot, or jump forward over one rabbit and land in an empty spot. [[IMAGE:cbe30d1d59dadcec_3_1]] The start state is **(R-LL)**, where **R** is a rabbit that wants to go right, and **L** is a rabbit that wants to go left, and the dash marks the empty spot. Construct all the states that are reachable from the start state and build a state space graph out of those states, call it Graph-12. Based on the above data, answer the given subquestions.
    From **(R-LL)**, the minimum number of moves needed to reach **(LL-R)** is __________ .
    Source diagram or notation

      A published solution is not available for this question yet.

      Question 23 MSQ · 1.0 marks

      **STATE SPACE** Recall the rabbits crossing puzzle from the practice assignment. Two groups of rabbits, each group at opposite ends of a path, want to cross the path by making only forward jumps: a rabbit can jump forward to an adjacent empty spot, or jump forward over one rabbit and land in an empty spot. [[IMAGE:cbe30d1d59dadcec_3_1]] The start state is **(R-LL)**, where **R** is a rabbit that wants to go right, and **L** is a rabbit that wants to go left, and the dash marks the empty spot. Construct all the states that are reachable from the start state and build a state space graph out of those states, call it Graph-12. Based on the above data, answer the given subquestions.
      For Graph-12, which of the following algorithms will find the shortest path from **(R-LL)** to **(LL-R)**? Assume a suitable MoveGen order for each algorithm.
      Source diagram or notation
      1. Depth First Search
      2. Breadth First Search
      3. DFID-C (revisits CLOSED nodes)

      A published solution is not available for this question yet.

      Question 24 SHORT_TEXT · 1.0 marks

      **SEARCH** The figure shows a map with several locations on a grid where each tile is 1x1 in size. The locations are at grid points and are connected by two-way edges. Take S as the start node and G as the goal node. The MoveGen function returns neighbours in alphabetical order. In all the algorithms below, the RemoveSeen procedure will remove nodes from the output of MoveGen if those nodes are present in OPEN/CLOSED lists. Use Manhattan distance when needed. [[IMAGE:cbe30d1d59dadcec_6_2]] When we say a node is inspected/expanded/refined it means: the node is picked up from OPEN, and goal test is called, if goal test fails then MoveGen is called and, depending on the algorithm, the neighbours are selectively placed in OPEN. Based on the above data, answer the given subquestions.
      List the first 4 nodes (including the start node) inspected by Depth First Search. List the nodes in the order they were inspected. If the algorithm terminates early then list the nodes inspected up until termination. Enter a comma separated list of node labels. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer Format: S,X,Y,Z**
      Source diagram or notation

        A published solution is not available for this question yet.

        Question 25 SHORT_TEXT · 1.0 marks

        **SEARCH** The figure shows a map with several locations on a grid where each tile is 1x1 in size. The locations are at grid points and are connected by two-way edges. Take S as the start node and G as the goal node. The MoveGen function returns neighbours in alphabetical order. In all the algorithms below, the RemoveSeen procedure will remove nodes from the output of MoveGen if those nodes are present in OPEN/CLOSED lists. Use Manhattan distance when needed. [[IMAGE:cbe30d1d59dadcec_6_2]] When we say a node is inspected/expanded/refined it means: the node is picked up from OPEN, and goal test is called, if goal test fails then MoveGen is called and, depending on the algorithm, the neighbours are selectively placed in OPEN. Based on the above data, answer the given subquestions.
        What is the path found by Depth First Search? Enter the path as a comma separated list of node labels. Enter NIL if no path is found. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer Format: S,X,Y,G**
        Source diagram or notation

          A published solution is not available for this question yet.

          Question 26 SHORT_TEXT · 1.0 marks

          **SEARCH** The figure shows a map with several locations on a grid where each tile is 1x1 in size. The locations are at grid points and are connected by two-way edges. Take S as the start node and G as the goal node. The MoveGen function returns neighbours in alphabetical order. In all the algorithms below, the RemoveSeen procedure will remove nodes from the output of MoveGen if those nodes are present in OPEN/CLOSED lists. Use Manhattan distance when needed. [[IMAGE:cbe30d1d59dadcec_6_2]] When we say a node is inspected/expanded/refined it means: the node is picked up from OPEN, and goal test is called, if goal test fails then MoveGen is called and, depending on the algorithm, the neighbours are selectively placed in OPEN. Based on the above data, answer the given subquestions.
          List the first 4 nodes inspected by Breadth First Search. List the nodes in the order they were inspected. If the algorithm terminates early then list the nodes inspected up until termination. Enter a comma separated list of node labels. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer Format: S,X,Y,Z**
          Source diagram or notation

            A published solution is not available for this question yet.

            Question 27 SHORT_TEXT · 2.0 marks

            **SEARCH** The figure shows a map with several locations on a grid where each tile is 1x1 in size. The locations are at grid points and are connected by two-way edges. Take S as the start node and G as the goal node. The MoveGen function returns neighbours in alphabetical order. In all the algorithms below, the RemoveSeen procedure will remove nodes from the output of MoveGen if those nodes are present in OPEN/CLOSED lists. Use Manhattan distance when needed. [[IMAGE:cbe30d1d59dadcec_6_2]] When we say a node is inspected/expanded/refined it means: the node is picked up from OPEN, and goal test is called, if goal test fails then MoveGen is called and, depending on the algorithm, the neighbours are selectively placed in OPEN. Based on the above data, answer the given subquestions.
            What is the path found by Breadth First Search? Enter the path as a comma separated list of node labels. Enter NIL if no path is found. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer Format: S,X,Y,G**
            Source diagram or notation

              A published solution is not available for this question yet.

              Question 28 SHORT_TEXT · 1.0 marks

              **SEARCH** The figure shows a map with several locations on a grid where each tile is 1x1 in size. The locations are at grid points and are connected by two-way edges. Take S as the start node and G as the goal node. The MoveGen function returns neighbours in alphabetical order. In all the algorithms below, the RemoveSeen procedure will remove nodes from the output of MoveGen if those nodes are present in OPEN/CLOSED lists. Use Manhattan distance when needed. [[IMAGE:cbe30d1d59dadcec_6_2]] When we say a node is inspected/expanded/refined it means: the node is picked up from OPEN, and goal test is called, if goal test fails then MoveGen is called and, depending on the algorithm, the neighbours are selectively placed in OPEN. Based on the above data, answer the given subquestions.
              List the first 4 nodes inspected by Best First Search. List the nodes in the order they were inspected. If the algorithm terminates early then list the nodes inspected up until termination. Enter a comma separated list of node labels. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer Format: S,X,Y,Z**
              Source diagram or notation

                A published solution is not available for this question yet.

                Question 29 SHORT_TEXT · 2.0 marks

                **SEARCH** The figure shows a map with several locations on a grid where each tile is 1x1 in size. The locations are at grid points and are connected by two-way edges. Take S as the start node and G as the goal node. The MoveGen function returns neighbours in alphabetical order. In all the algorithms below, the RemoveSeen procedure will remove nodes from the output of MoveGen if those nodes are present in OPEN/CLOSED lists. Use Manhattan distance when needed. [[IMAGE:cbe30d1d59dadcec_6_2]] When we say a node is inspected/expanded/refined it means: the node is picked up from OPEN, and goal test is called, if goal test fails then MoveGen is called and, depending on the algorithm, the neighbours are selectively placed in OPEN. Based on the above data, answer the given subquestions.
                What is the path found by Best First Search? Enter the path as a comma separated list of node labels. Enter NIL if no path is found. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer Format: S,X,Y,G**
                Source diagram or notation

                  A published solution is not available for this question yet.

                  Question 30 SHORT_TEXT · 1.0 marks

                  **SEARCH** The figure shows a map with several locations on a grid where each tile is 1x1 in size. The locations are at grid points and are connected by two-way edges. Take S as the start node and G as the goal node. The MoveGen function returns neighbours in alphabetical order. In all the algorithms below, the RemoveSeen procedure will remove nodes from the output of MoveGen if those nodes are present in OPEN/CLOSED lists. Use Manhattan distance when needed. [[IMAGE:cbe30d1d59dadcec_6_2]] When we say a node is inspected/expanded/refined it means: the node is picked up from OPEN, and goal test is called, if goal test fails then MoveGen is called and, depending on the algorithm, the neighbours are selectively placed in OPEN. Based on the above data, answer the given subquestions.
                  List the first 4 nodes inspected by Hill Climbing. List the nodes in the order they were inspected. If the algorithm terminates early then list the nodes inspected up until termination. Enter a comma separated list of node labels. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer Format: S,X,Y,Z**
                  Source diagram or notation

                    A published solution is not available for this question yet.

                    Question 31 SHORT_TEXT · 1.0 marks

                    **SEARCH** The figure shows a map with several locations on a grid where each tile is 1x1 in size. The locations are at grid points and are connected by two-way edges. Take S as the start node and G as the goal node. The MoveGen function returns neighbours in alphabetical order. In all the algorithms below, the RemoveSeen procedure will remove nodes from the output of MoveGen if those nodes are present in OPEN/CLOSED lists. Use Manhattan distance when needed. [[IMAGE:cbe30d1d59dadcec_6_2]] When we say a node is inspected/expanded/refined it means: the node is picked up from OPEN, and goal test is called, if goal test fails then MoveGen is called and, depending on the algorithm, the neighbours are selectively placed in OPEN. Based on the above data, answer the given subquestions.
                    What is the path found by Hill Climbing? Enter the path as a comma separated list of node labels. Enter NIL if no path is found. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer Format: S,X,Y,G**
                    Source diagram or notation

                      A published solution is not available for this question yet.

                      Question 32 MSQ · 1.0 marks

                      **Genetic Algorithm** A tour of 10 cities is shown below. The edges are bi-directional. Use A,B,C,...,H,I,J as the reference (index) sequence to prepare tour representations. [[IMAGE:cbe30d1d59dadcec_12_3]] Based on the above data, answer the given subquestions.
                      Select all valid path representations of the tour.
                      Source diagram or notation
                      1. B,I,G,H,E,A,D,J,F,C,B
                      2. A,D,J,F,C,B,I,G,H,E,A
                      3. B,I,G,H,E,A,D,J,F,C
                      4. A,D,J,F,C,B,I,G,H,E

                      A published solution is not available for this question yet.

                      Question 33 MSQ · 1.0 marks

                      **Genetic Algorithm** A tour of 10 cities is shown below. The edges are bi-directional. Use A,B,C,...,H,I,J as the reference (index) sequence to prepare tour representations. [[IMAGE:cbe30d1d59dadcec_12_3]] Based on the above data, answer the given subquestions.
                      Select all valid adjacency representations of the tour.
                      Source diagram or notation
                      1. D,I,B,J,A,C,H,E,G,F
                      2. E,C,F,A,H,J,I,G,B,D
                      3. E,I,B,J,D,C,H,A,G,F
                      4. H,C,F,E,A,J,I,G,B,D

                      A published solution is not available for this question yet.

                      Question 34 MCQ · 2.0 marks

                      **Genetic Algorithm** A tour of 10 cities is shown below. The edges are bi-directional. Use A,B,C,...,H,I,J as the reference (index) sequence to prepare tour representations. [[IMAGE:cbe30d1d59dadcec_12_3]] Based on the above data, answer the given subquestions.
                      Convert the path representation G,E,H,D,J,F,B,I,C,A to ordinal representation.
                      Source diagram or notation
                      1. 7,5,6,4,6,4,2,3,2,1
                      2. 2,8,6,6,4,1,2,3,2,1
                      3. 2,8,6,6,1,3,2,3,2,1
                      4. 1,6,6,4,4,4,4,2,1,1

                      A published solution is not available for this question yet.

                      Question 35 SHORT_TEXT · 2.0 marks

                      **Genetic Algorithm** A tour of 10 cities is shown below. The edges are bi-directional. Use A,B,C,...,H,I,J as the reference (index) sequence to prepare tour representations. [[IMAGE:cbe30d1d59dadcec_12_3]] Based on the above data, answer the given subquestions.
                      Two tours in path representation are given below. Generate offspring using Partially Mapped Crossover (PMX), use the locations from 4 to 7 (both inclusive) as the mapping segment. Enter any one of the two child tours in the textbox. [[IMAGE:cbe30d1d59dadcec_14_4]] Enter a comma separated list of cities. DO NOT ENTER SPACES, TABS, DOTS, BRACKETS OR EXTRANEOUS CHARACTERS.
                      Source diagram or notationSource diagram or notation

                        A published solution is not available for this question yet.

                        Question 36 SHORT_TEXT · 1.0 marks

                        **TSP** The distance matrix for 5 cities and the corresponding edge costs (in sorted order) are provided below. Use this information to construct TSP tours. [[IMAGE:cbe30d1d59dadcec_15_5]] Based on the above data, answer the given subquestions.
                        Use B as the starting city, construct a tour using Nearest Neighbour Heuristic. The tour is __________ . Enter the path representation of the tour, start from B and trace the cities selected by the Nearest Neighbour Heuristic. Enter a comma separated list of city names. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. **Answer format: B,X,Y,Z**
                        Source diagram or notation

                          A published solution is not available for this question yet.

                          Question 37 NAT · 1.0 marks

                          **TSP** The distance matrix for 5 cities and the corresponding edge costs (in sorted order) are provided below. Use this information to construct TSP tours. [[IMAGE:cbe30d1d59dadcec_15_5]] Based on the above data, answer the given subquestions.
                          What is the cost of the tour generated by Nearest Neighbour Heuristic? Enter a number. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. Answer format: 17
                          Source diagram or notation

                            A published solution is not available for this question yet.

                            Question 38 SHORT_TEXT · 1.0 marks

                            **TSP** The distance matrix for 5 cities and the corresponding edge costs (in sorted order) are provided below. Use this information to construct TSP tours. [[IMAGE:cbe30d1d59dadcec_15_5]] Based on the above data, answer the given subquestions.
                            Construct a tour using Greedy Heuristic. Enter the path representation of the tour starting from city B. Enter a comma separated list of city names. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. Answer format: B,X,Y,Z
                            Source diagram or notation

                              A published solution is not available for this question yet.

                              Question 39 NAT · 1.0 marks

                              **TSP** The distance matrix for 5 cities and the corresponding edge costs (in sorted order) are provided below. Use this information to construct TSP tours. [[IMAGE:cbe30d1d59dadcec_15_5]] Based on the above data, answer the given subquestions.
                              What is the cost of the tour generated by Greedy Heuristic? Enter a number. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. Answer format: 17
                              Source diagram or notation

                                A published solution is not available for this question yet.

                                Question 40 SHORT_TEXT · 1.0 marks

                                **TSP** The distance matrix for 5 cities and the corresponding edge costs (in sorted order) are provided below. Use this information to construct TSP tours. [[IMAGE:cbe30d1d59dadcec_15_5]] Based on the above data, answer the given subquestions.
                                Construct the savings tour using B as the base city. The savings for including the pairs of cities AC, AD and AE are 88, 48 and 61, respectively. Compute the savings for the remaining three pairs of cities, and use them to simulate the algorithm. Enter the path representation of the tour starting from city B. Enter a comma separated list of city names. NO SPACES, TABS, DOTS, BRACKETS, PARENTHESIS OR UNWANTED CHARACTERS. Answer format: B,X,Y,Z
                                Source diagram or notation

                                  A published solution is not available for this question yet.