Problem 2 (Wavefront Algorithm): Suppose the Wavefront algorithm provides the following grid map, where: • • R denotes the robot's initial position 1 denotes an inaccessible cell (for example, occupied by objects) 2 denotes the goal position (i.e., destination) When searching through the map to find a path, use eight-neighborhood. At the very first step starting at R, the robot should go to the cell whose value is the minimal among all neighbors of R. • Find at least five different paths. Highlight the shortest path (i.e., the one with minimal distance). 6 5 4 33 65433 65432 65432 65433 651 33 65444 654 5 4 4 4 65555 9 8 7 6 9 1 1 6 10 1 1 6 9 R 1 9 8 7 66 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 6 65433 5432 654 654 55 655 66666 65433 65 4 4 65555 66666 4 65 4 33 4 65555 66 666 4 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 65433 3 2 65433 9 8 7 9 1 1 66 6 5 65 6 10 1 1 6 5 4 9 R 1 6 5 4 543 65 4 3 9 8 7 6 5 4 3 2

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Problem 2 (Wavefront Algorithm): Suppose the Wavefront algorithm provides the following
grid map, where:
•
•
R denotes the robot's initial position
1 denotes an inaccessible cell (for example, occupied by objects)
2 denotes the goal position (i.e., destination)
When searching through the map to find a path, use eight-neighborhood.
At the very first step starting at R, the robot should go to the cell whose value is the minimal
among all neighbors of R.
•
Find at least five different paths.
Highlight the shortest path (i.e., the one with minimal distance).
6
5
4
33
65433
65432
65432
65433
651
33
65444
654
5
4
4
4
65555
9
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6
9
1
1
6
10
1
1
6
9
R
1
9
8
7
66
9
8
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9
1
1
10
1
1
9
R
1
9
8
7
6
65433
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654
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65433
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543
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2
Transcribed Image Text:Problem 2 (Wavefront Algorithm): Suppose the Wavefront algorithm provides the following grid map, where: • • R denotes the robot's initial position 1 denotes an inaccessible cell (for example, occupied by objects) 2 denotes the goal position (i.e., destination) When searching through the map to find a path, use eight-neighborhood. At the very first step starting at R, the robot should go to the cell whose value is the minimal among all neighbors of R. • Find at least five different paths. Highlight the shortest path (i.e., the one with minimal distance). 6 5 4 33 65433 65432 65432 65433 651 33 65444 654 5 4 4 4 65555 9 8 7 6 9 1 1 6 10 1 1 6 9 R 1 9 8 7 66 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 6 65433 5432 654 654 55 655 66666 65433 65 4 4 65555 66666 4 65 4 33 4 65555 66 666 4 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 65433 3 2 65433 9 8 7 9 1 1 66 6 5 65 6 10 1 1 6 5 4 9 R 1 6 5 4 543 65 4 3 9 8 7 6 5 4 3 2
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