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# Driving man's delight - 2 a harder puzzle

6 replies to this topic

### #1 bonanova

bonanova

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Posted 15 May 2013 - 08:16 PM

I owe it to the Den to post at least one of these without error.
Possibly this one does that.

Give the longest route (sequence of city numbers) that visits all the cities
(a) not returning to starting city (sum of 7 distances - starting point matters)
(b) returning to starting city (sum of 8 distances - starting point does not matter)

This puzzle has more choices than the first one.

Cities lie clockwise on the perimeter of a 6x6 square:

6--O------O-------+--------O
|3     4               5|
|                       |
|                       |
4--+                       +
|                       |
|                       |
|                       |
2--O2                     6O
|                       |
|                       |
|1              8      7|
0--O-------+-------O-------O
|       |       |       |
0       2       4       6

+----+---+---+
|City| x | y |   Distances:
+----+---+---+   8.485  1-5 3-7
| 1  | 0 | 0 |   7.211  2-5 3-6 3-8 4-7
| 2  | 0 | 2 |   6.325  1-4 1-6 2-7 4-8 5-8
| 3  | 0 | 6 |   6.000  1-3 1-7 2-6 3-5 5-7
| 4  | 2 | 6 |   5.656  4-6
| 5  | 6 | 6 |   4.472  2-4 2-8
| 6  | 6 | 2 |   4.000  1-8 2-3 4-5 5-6
| 7  | 6 | 0 |   2.828  6-8
| 8  | 4 | 0 |   2.000  1-2 3-4 6-7 7-8
+----+---+---+

• 0

Vidi vici veni.

### #2 BobbyGo

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Posted 15 May 2013 - 09:23 PM

Spoiler for First Guess

• -1

### #3 bonanova

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Posted 15 May 2013 - 09:37 PM

Spoiler for First Guess

Spoiler for Good start!

• 0

Vidi vici veni.

### #4 tylerbrooksmusic

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Posted 16 May 2013 - 03:50 PM

closed

• 0

### #5 superprismatic

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Posted 16 May 2013 - 04:14 PM   Best Answer

Spoiler for I get

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### #6 tylerbrooksmusic

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Posted 16 May 2013 - 07:44 PM

Here's another question to tag onto the end . . . How many correct answers are there for A and B?

Edited by tylerbrooksmusic, 16 May 2013 - 07:49 PM.

• 0

### #7 bonanova

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Posted 16 May 2013 - 08:27 PM

SP is first with both solutions.

Tylerbrooksmusic was first with the closed course solution

Good job both.

Spoiler for in response to tyler question

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Vidi vici veni.

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