A mail truck must deliver packages to 5 different homes (A, B, C, ...

[BrownTown3]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

How many different Hamilton circuits would we have to check if we use the brute-force algorithm? (Do not count the same circuit traveled backward.)
◦ 60
◦ 4
◦ 30
◦ 12
◦ none of these

[mbcrismon]

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[future617RT]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

How many different Hamilton circuits would we have to check if we use the brute-force algorithm? (Do not count the same circuit traveled backward.)
◦ 60
◦ 12
◦ 30
◦ 4
◦ none of these

[dantucker]

12

[brutforce]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The nearest-neighbor tour starting with vertex A is given by:
◦ A, E, C, D, B, A.
◦ A, C, D, B, E, A.
◦ A, B, C, D, E, A.
◦ A, D, B, E, C, A.
◦ none of these

[AngeliqueG]

A, C, D, B, E, A.

[cookcarl]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The nearest-neighbor tour starting with vertex A is given by:
◦ A, D, B, E, C, A.
◦ A, B, C, D, E, A.
◦ A, E, C, D, B, A.
◦ A, C, D, B, E, A.
◦ none of these

[mohan]

A, C, D, B, E, A.

[neverstopbelieb]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The repetitive nearest-neighbor tour starting with vertex A is given by:
◦ A, C, D, B, E, A.
◦ A, B, C, D, E, A.
◦ A, E, C, D, B, A.
◦ A, D, B, E, C, A.
◦ none of these

[eliasc0401]

A, E, C, D, B, A.

[809779]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The repetitive nearest-neighbor tour starting with vertex A is given by:
◦ A, B, C, D, E, A.
◦ A, E, C, D, B, A.
◦ A, D, B, E, C, A.
◦ A, C, D, B, E, A.
◦ none of these

[elyse44]

A, E, C, D, B, A.

[ahriuashd]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The cheapest-link tour starting with vertex A is given by:
◦ A, D, B, E, C, A.
◦ A, E, C, D, B, A.
◦ A, C, D, B, E, A.
◦ A, B, C, D, E, A.
◦ none of these

[hanadaa]

A, B, C, D, E, A.

[future617RT]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The cheapest-link tour starting with vertex A is given by:
◦ A, D, B, E, C, A.
◦ A, E, C, D, B, A.
◦ A, B, C, D, E, A.
◦ A, C, D, B, E, A.
◦ none of these

[Hdosisshsbshs]

A, B, C, D, E, A.

[shofmannx20]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The shortest trip in this situation can be found using
◦ the cheapest-link algorithm.
◦ the nearest-neighbor algorithm.
◦ both the nearest-neighbor and the cheapest-link algorithms.
◦ the repetitive nearest-neighbor algorithm.
◦ all of these algorithms give the shortest trip in this situation.

[Laurenleakan]

the repetitive nearest-neighbor algorithm.

[anjilletteb]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

Using both the cheapest-link and the repetitive nearest-neighbor algorithm, the length of the shortest trip we can find (without using brute force) is:
◦ 28 miles.
◦ 68 miles.
◦ 58 miles.
◦ 57 miles.
◦ none of these

[hugthug12]

57 miles.

[sophia polizzi]

TAhnk you!!