The diagram below shows cities A, B, C, ..., K, and L.

            +---A   +---+   +---+---+---+
            |       |   |   |   |       |
            +---+   +   B   C   +   D   E
                |   |           |   |
            F---+---+---+---+---G---+---+
                |           |   |       |
            H   +   +---+   I   +   +---+
            |   |   |   |       |   |
            +---+---+   J   K---+   +---L

Knowing that each line segment measures 1 km and the distances (along the lines) between two cities, are:

            Bodov  -  Direb:   9 km
            Vega   -  Mares:   5 Km
            Fugud  -  Rigel:   4 km
            Tolima -  Bodov:   8 km
            Atlas  -  Supra:  11 km
            Cona   -  Poris:   6 km
            Kuma   -  Atlas:   4 km
            Fugud  -  Cona:   12 km
            Poris  -  Vega:    5 km

Identify the cities.

(In reply to More than one Path by ed bottemiller)

Here's Ed's table laid out more readably:

     B   C  D   E  F  G  H  I  J  K  L
A .  9  12 10  13  5  8  7  8 10 11 14

B ..    11  9  12  6  7  9  7 11 10 13

C ...       6   5  9  4  9  6 14  7 13

D ....          7  7  2 10  4 12  5  6

E .....           10  5 13  7 15  8 11

F ......              5  5  5  7  8 11
                                  
G.......                 8  2 10  3  6

H ........                  8  6 11 14

I ........                     9  5  8

J .........                      13 16

K ...........                        9

I do notice, though, that I-J should be 10--not 9. And C-L should be 10--not 13. And A-H should be 8, rather than 7.

Edited on July 26, 2008, 9:44 am

Posted by Charlie on 2008-07-26 09:38:56