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A professional cyclist is planning a road trip through the following 7 towns. Assume that in the node matching step of Christofides heuristic for the

A professional cyclist is planning a road trip through the following 7 towns. Assume that in the node matching step of Christofides heuristic for the TSP, you are left with the following 4 nodes {1,4,6,7}. What would be the cost of matching (1,4) and (6,7)?

Town

1

2

3

4

5

6

7

1

0

8

9

6

5

6

10

2

-

0

4

2

9

11

12

3

-

-

0

3

6

9

8

4

-

-

-

0

4

3

5

5

-

-

-

-

0

5

4

6

-

-

-

-

-

0

8

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