Well I thought this one was going to take some time to run because of the numerous optional loops which could be added/subtracted - but it didn't! I'm not sure I've got the scale right so the distances may change once I've had a chance to calibrate however, you can check my assumptions now because below you'll find a matrix of the shortest distance between pairs of points (a blank distance means I've ignored all routes using that join) and an abstract version of the map which i find really helpful to visualise the routes (will be a part of the interactive website version planned for the 2010/2011 season). I'm away for a few days but should have the optimal/flatest solutions on Sunday.
Cheers,
Chris
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Click on the matrix to open a larger version:
Length of Shortest paths:
600 points: Shortest Distance = 12385m, Climbing = 245m
[8, 20, 9, 1, 26, 16, 2, 4, 27, 12, 6, 24, 22, 3, 13, 29, 21, 18, 14, 10, 30, 15, 7, 19, 11, 23, 25, 5, 28, 17]
590 points: Shortest Distance = 11834m, Climbing = 240m
[8, 20, 1, 26, 16, 2, 4, 27, 12, 6, 24, 22, 3, 13, 29, 21, 18, 14, 10, 30, 15, 7, 19, 11, 23, 25, 5, 28, 17]
580 points: Shortest Distance = 11411m, Climbing = 230m
[8, 20, 17, 28, 5, 25, 23, 11, 19, 7, 15, 30, 10, 14, 18, 21, 29, 13, 3, 22, 24, 6, 12, 27, 4, 2, 16, 26]
570 points: Shortest Distance = 11048m, Climbing = 220m
[8, 20, 17, 28, 5, 25, 23, 11, 19, 7, 15, 30, 10, 14, 18, 21, 29, 13, 3, 22, 24, 12, 27, 4, 2, 16, 26]
560 points: Shortest Distance = 10885m, Climbing = 220m
[8, 20, 17, 28, 5, 25, 23, 11, 19, 7, 15, 30, 10, 14, 18, 21, 29, 13, 22, 24, 12, 27, 4, 2, 16, 26]
550 points: Shortest Distance = 10604m, Climbing = 210m
[8, 20, 17, 28, 5, 25, 23, 11, 19, 7, 30, 10, 14, 18, 21, 29, 13, 3, 22, 24, 12, 27, 4, 2, 16, 26]
540 points: Shortest Distance = 10350m, Climbing = 220m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 7, 19, 29, 21, 18, 14, 10, 30, 15, 25, 5, 28, 17, 20, 8]
530 points: Shortest Distance = 10195m, Climbing = 210m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 7, 19, 29, 21, 18, 14, 10, 30, 15, 25, 28, 17, 20, 8]
520 points: Shortest Distance = 9906m, Climbing = 210m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 19, 29, 21, 18, 14, 10, 30, 7, 23, 25, 5, 28, 17, 20, 8]
510 points: Shortest Distance = 9692m, Climbing = 210m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 7, 19, 29, 21, 18, 14, 10, 30, 15, 25, 5, 28, 17]
500 points: Shortest Distance = 9529m, Climbing = 215m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 19, 29, 21, 18, 10, 30, 7, 23, 25, 5, 28, 17, 20, 8]
490 points: Shortest Distance = 9248m, Climbing = 200m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 19, 29, 21, 18, 14, 10, 30, 7, 23, 25, 5, 28, 17]
480 points: Shortest Distance = 9072m, Climbing = 175m
[8, 20, 17, 28, 5, 25, 23, 11, 19, 18, 21, 29, 13, 3, 22, 24, 12, 27, 4, 2, 16, 26]
470 points: Shortest Distance = 8834m, Climbing = 170m
[26, 16, 2, 4, 27, 12, 24, 22, 3, 13, 29, 19, 18, 21, 14, 10, 30, 15, 25, 23, 11]
460 points: Shortest Distance = 8671m, Climbing = 170m
[26, 16, 2, 4, 27, 12, 24, 22, 13, 29, 19, 18, 21, 14, 10, 30, 15, 25, 23, 11]
450 points: Shortest Distance = 8403m, Climbing = 165m
[26, 16, 2, 4, 27, 12, 24, 22, 3, 13, 29, 21, 18, 14, 10, 30, 15, 25, 23, 11]
440 points: Shortest Distance = 8205m, Climbing = 160m
[26, 4, 27, 12, 24, 22, 3, 13, 29, 19, 18, 21, 14, 10, 30, 15, 25, 23, 11]
430 points: Shortest Distance = 8026m, Climbing = 170m
[26, 16, 2, 4, 27, 12, 24, 22, 3, 13, 29, 21, 18, 10, 30, 15, 25, 23, 11]
420 points: Shortest Distance = 7775m, Climbing = 155m
[26, 4, 27, 12, 24, 22, 3, 13, 29, 21, 18, 14, 10, 30, 15, 25, 23, 11]
410 points: Shortest Distance = 7612m, Climbing = 155m
[26, 4, 27, 12, 24, 22, 13, 29, 21, 18, 14, 10, 30, 15, 25, 23, 11]
400 points: Shortest Distance = 7398m, Climbing = 160m
[26, 4, 27, 12, 24, 22, 3, 13, 29, 21, 18, 10, 30, 15, 25, 23, 11]
390 points: Shortest Distance = 7235m, Climbing = 160m
[26, 4, 27, 12, 24, 22, 13, 29, 21, 18, 10, 30, 15, 25, 23, 11]
380 points: Shortest Distance = 7066m, Climbing = 160m
[26, 4, 27, 24, 22, 3, 13, 29, 21, 18, 10, 30, 15, 25, 23, 11]
370 points: Shortest Distance = 6903m, Climbing = 160m
[26, 4, 27, 24, 22, 13, 29, 21, 18, 10, 30, 15, 25, 23, 11]
360 points: Shortest Distance = 6689m, Climbing = 140m
[26, 4, 27, 12, 24, 22, 3, 13, 29, 21, 18, 10, 30, 7, 23, 11]
350 points: Shortest Distance = 6430m, Climbing = 120m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 25, 5, 28, 17, 20, 8]
340 points: Shortest Distance = 6275m, Climbing = 110m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 25, 28, 17, 20, 8]
330 points: Shortest Distance = 6098m, Climbing = 120m
[26, 4, 27, 24, 22, 2, 16, 11, 23, 25, 5, 28, 17, 20, 8]
320 points: Shortest Distance = 5772m, Climbing = 110m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 25, 5, 28, 17]
310 points: Shortest Distance = 5617m, Climbing = 100m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 25, 28, 17]
300 points: Shortest Distance = 5441m, Climbing = 110m
[26, 4, 27, 24, 22, 2, 16, 11, 23, 25, 5, 28, 17]
290 points: Shortest Distance = 5243m, Climbing = 95m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 25, 5, 17]
280 points: Shortest Distance = 5125m, Climbing = 90m
[26, 4, 27, 12, 24, 22, 16, 11, 23, 25, 5, 17]
270 points: Shortest Distance = 4911m, Climbing = 95m
[26, 4, 27, 24, 22, 2, 16, 11, 23, 25, 5, 17]
260 points: Shortest Distance = 4794m, Climbing = 90m
[26, 4, 27, 24, 22, 16, 11, 23, 25, 5, 17]
250 points: Shortest Distance = 4612m, Climbing = 75m
[26, 4, 27, 12, 24, 22, 2, 16, 11, 23, 17]
240 points: Shortest Distance = 4494m, Climbing = 70m
[26, 4, 27, 12, 24, 22, 16, 11, 23, 17]
230 points: Shortest Distance = 4280m, Climbing = 75m
[26, 4, 27, 24, 22, 2, 16, 11, 23, 17]
220 points: Shortest Distance = 4163m, Climbing = 70m
[26, 4, 27, 24, 22, 16, 11, 23, 17]
210 points: Shortest Distance = 4080m, Climbing = 85m
[26, 4, 2, 22, 16, 11, 23, 25, 5, 17]
200 points: Shortest Distance = 3874m, Climbing = 80m
[26, 2, 22, 16, 11, 23, 25, 5, 17]
190 points: Shortest Distance = 3823m, Climbing = 45m
[26, 4, 27, 12, 24, 22, 16, 11]
180 points: Shortest Distance = 3609m, Climbing = 50m
[26, 4, 27, 24, 22, 2, 16, 11]
170 points: Shortest Distance = 3449m, Climbing = 65m
[26, 4, 2, 22, 16, 11, 23, 17]
160 points: Shortest Distance = 3243m, Climbing = 60m
[26, 2, 22, 16, 11, 23, 17]
150 points: Shortest Distance = 3323m, Climbing = 60m
[26, 16, 11, 23, 17, 20, 8]
140 points: Shortest Distance = 3069m, Climbing = 55m
[26, 4, 2, 16, 11, 23, 17]
130 points: Shortest Distance = 2863m, Climbing = 50m
[26, 2, 16, 11, 23, 17]
120 points: Shortest Distance = 2665m, Climbing = 50m
[26, 16, 11, 23, 17]
110 points: Shortest Distance = 2572m, Climbing = 35m
[26, 2, 22, 16, 11]
100 points: Shortest Distance = 2617m, Climbing = 55m
[8, 20, 17, 23, 11]
90 points: Shortest Distance = 2398m, Climbing = 30m
[26, 4, 2, 16, 11]
80 points: Shortest Distance = 2192m, Climbing = 25m
[26, 2, 16, 11]
70 points: Shortest Distance = 1959m, Climbing = 45m
[11, 23, 17]
60 points: Shortest Distance = 2005m, Climbing = 30m
[8, 1, 20, 17]
50 points: Shortest Distance = 1524m, Climbing = 30m
[8, 20, 17]
40 points: Shortest Distance = 1326m, Climbing = 25m
[8, 20, 1]
30 points: Shortest Distance = 893m, Climbing = 5m
[26]
20 points: Shortest Distance = 866m, Climbing = 20m
[17]
10 points: Shortest Distance = 556m, Climbing = 5m
[8]
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