2010 #14 - Burns Bay

Hi Everyone,

I've fallen a bit behind in the solutions but am working hard to catch up :-)

Cheers,
Chris

Length of shortest paths:

Matrix of connected points:



600 points: Shortest Distance = 9591m, Climbing = 220m
[11, 22, 1, 29, 8, 23, 18, 3, 19, 14, 10, 30, 25, 6, 26, 16, 20, 9, 2, 28, 7, 13, 24, 4, 27, 17, 5, 12, 21, 15]

590 points: Shortest Distance = 9096m, Climbing = 208m
[11, 22, 1, 29, 8, 23, 18, 3, 19, 14, 10, 30, 25, 6, 26, 16, 20, 2, 28, 7, 13, 24, 4, 27, 17, 5, 12, 21, 15]

580 points: Shortest Distance = 8822m, Climbing = 196m
[11, 22, 1, 29, 8, 23, 18, 3, 19, 14, 10, 30, 25, 26, 16, 20, 2, 28, 7, 13, 24, 4, 27, 17, 5, 12, 21, 15]

570 points: Shortest Distance = 8596m, Climbing = 192m
[11, 22, 1, 29, 8, 23, 18, 3, 19, 14, 10, 30, 25, 26, 16, 20, 2, 28, 7, 13, 24, 4, 27, 17, 12, 21, 15]

560 points: Shortest Distance = 8459m, Climbing = 192m
[11, 22, 1, 29, 8, 18, 23, 19, 14, 10, 30, 25, 26, 16, 20, 2, 28, 7, 13, 24, 4, 27, 17, 12, 21, 15]

550 points: Shortest Distance = 8223m, Climbing = 184m
[11, 22, 1, 29, 8, 23, 18, 3, 19, 14, 10, 30, 25, 26, 16, 20, 2, 28, 7, 13, 24, 4, 27, 17, 12, 5, 15]

540 points: Shortest Distance = 8086m, Climbing = 184m
[11, 22, 1, 29, 8, 18, 23, 19, 14, 10, 30, 25, 26, 16, 20, 2, 28, 7, 13, 24, 4, 27, 17, 12, 5, 15]

530 points: Shortest Distance = 7848m, Climbing = 184m
[11, 22, 1, 29, 8, 23, 18, 3, 19, 14, 10, 30, 25, 26, 16, 20, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

520 points: Shortest Distance = 7711m, Climbing = 184m
[11, 22, 1, 29, 8, 18, 23, 19, 14, 10, 30, 25, 26, 16, 20, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

510 points: Shortest Distance = 7502m, Climbing = 148m
[15, 21, 12, 17, 27, 4, 24, 13, 7, 28, 2, 20, 16, 26, 25, 30, 10, 14, 19, 3, 18, 23, 8, 29]

500 points: Shortest Distance = 7365m, Climbing = 148m
[15, 21, 12, 17, 27, 4, 24, 13, 7, 28, 2, 20, 16, 26, 25, 30, 10, 14, 19, 23, 18, 8, 29]

490 points: Shortest Distance = 7129m, Climbing = 140m
[15, 5, 12, 17, 27, 4, 24, 13, 7, 28, 2, 20, 16, 26, 25, 30, 10, 14, 19, 3, 18, 23, 8, 29]

480 points: Shortest Distance = 6992m, Climbing = 140m
[15, 5, 12, 17, 27, 4, 24, 13, 7, 28, 2, 20, 16, 26, 25, 30, 10, 14, 19, 23, 18, 8, 29]

470 points: Shortest Distance = 6754m, Climbing = 140m
[15, 5, 17, 27, 4, 24, 13, 7, 28, 2, 20, 16, 26, 25, 30, 10, 14, 19, 3, 18, 23, 8, 29]

460 points: Shortest Distance = 6617m, Climbing = 140m
[15, 5, 17, 27, 4, 24, 13, 7, 28, 2, 20, 16, 26, 25, 30, 10, 14, 19, 23, 18, 8, 29]

450 points: Shortest Distance = 6418m, Climbing = 132m
[15, 5, 17, 27, 4, 24, 13, 7, 28, 2, 16, 26, 25, 30, 10, 14, 19, 3, 18, 23, 8, 29]

440 points: Shortest Distance = 6281m, Climbing = 132m
[15, 5, 17, 27, 4, 24, 13, 7, 28, 2, 16, 26, 25, 30, 10, 14, 19, 23, 18, 8, 29]

430 points: Shortest Distance = 6098m, Climbing = 132m
[15, 5, 17, 27, 4, 24, 13, 7, 28, 2, 16, 26, 25, 30, 10, 14, 3, 18, 23, 8, 29]

420 points: Shortest Distance = 5961m, Climbing = 128m
[29, 8, 23, 19, 14, 10, 30, 25, 26, 16, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

410 points: Shortest Distance = 5829m, Climbing = 120m
[29, 8, 23, 18, 3, 19, 14, 10, 30, 20, 16, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

400 points: Shortest Distance = 5692m, Climbing = 120m
[29, 8, 18, 23, 19, 14, 10, 30, 20, 16, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

390 points: Shortest Distance = 5463m, Climbing = 112m
[29, 8, 23, 18, 3, 19, 14, 10, 30, 20, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

380 points: Shortest Distance = 5326m, Climbing = 112m
[29, 8, 18, 23, 19, 14, 10, 30, 20, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

370 points: Shortest Distance = 5144m, Climbing = 112m
[29, 8, 23, 18, 3, 14, 10, 30, 20, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

360 points: Shortest Distance = 5007m, Climbing = 108m
[29, 8, 23, 19, 14, 10, 30, 20, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

350 points: Shortest Distance = 4987m, Climbing = 112m
[29, 8, 23, 19, 14, 10, 30, 20, 2, 28, 7, 24, 13, 27, 17, 5, 15]

340 points: Shortest Distance = 4920m, Climbing = 100m
[29, 8, 23, 19, 14, 10, 30, 20, 2, 28, 7, 13, 24, 4, 27, 5, 15]

330 points: Shortest Distance = 4901m, Climbing = 104m
[29, 8, 23, 19, 14, 10, 30, 20, 2, 28, 7, 24, 13, 27, 5, 15]

320 points: Shortest Distance = 4814m, Climbing = 108m
[15, 5, 17, 27, 7, 28, 2, 20, 30, 10, 14, 19, 23, 18, 8, 29]

310 points: Shortest Distance = 4632m, Climbing = 108m
[15, 5, 17, 27, 7, 28, 2, 20, 30, 10, 14, 3, 18, 23, 8, 29]

300 points: Shortest Distance = 4495m, Climbing = 104m
[15, 5, 17, 27, 7, 28, 2, 20, 30, 10, 14, 19, 23, 8, 29]

290 points: Shortest Distance = 4387m, Climbing = 112m
[29, 8, 23, 19, 9, 2, 28, 7, 13, 24, 4, 27, 17, 5, 15]

280 points: Shortest Distance = 4367m, Climbing = 116m
[29, 8, 23, 19, 9, 2, 28, 7, 24, 13, 27, 17, 5, 15]

270 points: Shortest Distance = 4206m, Climbing = 100m
[15, 5, 17, 27, 2, 20, 30, 10, 14, 3, 18, 23, 8, 29]

260 points: Shortest Distance = 4069m, Climbing = 96m
[15, 5, 17, 27, 2, 20, 30, 10, 14, 19, 23, 8, 29]

250 points: Shortest Distance = 4072m, Climbing = 96m
[15, 5, 17, 27, 2, 20, 30, 10, 14, 19, 23, 29]

240 points: Shortest Distance = 3742m, Climbing = 88m
[15, 5, 27, 4, 24, 13, 7, 28, 2, 17, 12, 21]

230 points: Shortest Distance = 3694m, Climbing = 96m
[15, 4, 24, 13, 7, 28, 2, 27, 17, 12, 21]

220 points: Shortest Distance = 3641m, Climbing = 88m
[15, 24, 13, 7, 28, 2, 27, 17, 12, 21]

210 points: Shortest Distance = 3622m, Climbing = 92m
[15, 4, 24, 13, 27, 17, 12, 21, 29]

200 points: Shortest Distance = 3449m, Climbing = 88m
[15, 4, 24, 13, 7, 28, 2, 17, 12, 21]

190 points: Shortest Distance = 3264m, Climbing = 68m
[15, 21, 12, 19, 3, 18, 23, 8, 29]

180 points: Shortest Distance = 3103m, Climbing = 92m
[15, 4, 24, 13, 27, 17, 12, 21]

170 points: Shortest Distance = 2891m, Climbing = 60m
[15, 5, 12, 19, 3, 18, 23, 8, 29]

160 points: Shortest Distance = 2754m, Climbing = 60m
[29, 8, 18, 23, 19, 12, 5, 15]

150 points: Shortest Distance = 2800m, Climbing = 52m
[29, 23, 18, 8, 1, 22, 11]

140 points: Shortest Distance = 2435m, Climbing = 56m
[15, 5, 12, 19, 23, 8, 29]

130 points: Shortest Distance = 2437m, Climbing = 56m
[15, 5, 12, 19, 23, 29]

120 points: Shortest Distance = 2540m, Climbing = 56m
[11, 22, 1, 29, 21]

110 points: Shortest Distance = 2180m, Climbing = 48m
[15, 5, 12, 21, 29]

100 points: Shortest Distance = 2079m, Climbing = 44m
[11, 22, 1, 8, 29]

90 points: Shortest Distance = 1858m, Climbing = 44m
[11, 22, 1, 29]

80 points: Shortest Distance = 1661m, Climbing = 48m
[15, 5, 12, 21]

60 points: Shortest Distance = 1447m, Climbing = 12m
[21, 29]

50 points: Shortest Distance = 1225m, Climbing = 24m
[15, 21]

30 points: Shortest Distance = 764m, Climbing = 0m
[29]

20 points: Shortest Distance = 423m, Climbing = 16m
[15]