Thursday, January 7, 2010

2009 #14 - Folly Point

Length of shortest paths:


Hi Everyone,
Almost finished incorporating climbing into the route 'cost' so hope to have some new colours next week (think: blue = flattest, green = optimum). Also, Blamoral took so long to run that I had to work out a way to save where the algorithm was up to so I could stop and restart the program... So out of necessity I now save all paths within 2% of the shortest - we just have to work out a good way to display the data! :-)
Cheers,
Chris

600 points: Shortest path = 9706m, Climbing = 356m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 13, 29, 6, 21, 26, 4, 14, 23, 22, 11, 2, 1, 19, 8, 9, 20, 18, 10, 30]

590 points: Shortest path = 9390m, Climbing = 348m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 13, 29, 6, 21, 26, 4, 14, 23, 22, 11, 2, 1, 19, 8, 20, 18, 10, 30]

580 points: Shortest path = 9115m, Climbing = 336m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 29, 6, 21, 26, 4, 14, 23, 22, 11, 2, 1, 19, 8, 9, 20, 18, 10, 30]

570 points: Shortest path = 8697m, Climbing = 332m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 13, 29, 6, 4, 26, 14, 23, 22, 11, 2, 1, 19, 8, 9, 20, 18, 10, 30]

560 points: Shortest path = 8381m, Climbing = 324m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 13, 29, 6, 4, 26, 14, 23, 22, 11, 2, 1, 19, 8, 20, 18, 10, 30]

550 points: Shortest path = 8107m, Climbing = 312m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 29, 6, 4, 26, 14, 23, 22, 11, 2, 1, 19, 8, 9, 20, 18, 10, 30]

540 points: Shortest path = 7791m, Climbing = 304m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 29, 6, 4, 26, 14, 23, 22, 11, 2, 1, 19, 8, 20, 18, 10, 30]

530 points: Shortest path = 7609m, Climbing = 304m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 29, 6, 4, 26, 14, 23, 22, 11, 2, 1, 19, 8, 20, 18, 10, 30]

520 points: Shortest path = 7398m, Climbing = 296m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 29, 6, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

510 points: Shortest path = 7217m, Climbing = 296m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 27, 29, 6, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

500 points: Shortest path = 7013m, Climbing = 292m
[17, 7, 3, 24, 12, 25, 28, 15, 27, 5, 29, 6, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

490 points: Shortest path = 6832m, Climbing = 292m
[17, 7, 3, 24, 12, 25, 28, 15, 27, 29, 6, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

480 points: Shortest path = 6623m, Climbing = 256m
[16, 17, 7, 3, 24, 12, 25, 28, 15, 29, 6, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

470 points: Shortest path = 6461m, Climbing = 260m
[17, 7, 3, 24, 12, 25, 28, 15, 29, 6, 4, 26, 14, 23, 22, 11, 2, 19, 8, 20, 18, 10, 30]

460 points: Shortest path = 6239m, Climbing = 252m
[17, 7, 3, 24, 12, 25, 28, 15, 29, 6, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

450 points: Shortest path = 6109m, Climbing = 220m
[17, 7, 24, 12, 25, 28, 15, 29, 6, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

440 points: Shortest path = 5947m, Climbing = 204m
[16, 17, 7, 3, 24, 12, 25, 29, 6, 4, 26, 14, 23, 22, 11, 2, 19, 8, 20, 18, 10, 30]

430 points: Shortest path = 5725m, Climbing = 196m
[16, 17, 7, 3, 24, 12, 25, 29, 6, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

420 points: Shortest path = 5414m, Climbing = 204m
[16, 17, 7, 3, 24, 12, 25, 4, 26, 14, 23, 22, 11, 2, 1, 19, 8, 9, 20, 18, 10, 30]

410 points: Shortest path = 5098m, Climbing = 196m
[16, 17, 7, 3, 24, 12, 25, 4, 26, 14, 23, 22, 11, 2, 1, 19, 8, 20, 18, 10, 30]

400 points: Shortest path = 4928m, Climbing = 196m
[16, 17, 7, 3, 24, 12, 25, 4, 26, 14, 23, 22, 11, 2, 19, 8, 20, 18, 10, 30]

390 points: Shortest path = 4706m, Climbing = 188m
[16, 17, 7, 3, 24, 12, 25, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

380 points: Shortest path = 4543m, Climbing = 192m
[17, 7, 3, 24, 12, 25, 4, 26, 14, 23, 22, 11, 2, 19, 8, 20, 18, 10, 30]

370 points: Shortest path = 4321m, Climbing = 184m
[17, 7, 3, 24, 12, 25, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

360 points: Shortest path = 4192m, Climbing = 152m
[17, 7, 24, 12, 25, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

350 points: Shortest path = 4162m, Climbing = 172m
[30, 10, 18, 20, 8, 19, 11, 22, 23, 14, 26, 4, 25, 12, 24, 3, 7]

340 points: Shortest path = 4032m, Climbing = 140m
[30, 10, 18, 20, 8, 19, 11, 22, 23, 14, 26, 4, 25, 12, 24, 7]

330 points: Shortest path = 3917m, Climbing = 148m
[17, 7, 24, 12, 25, 4, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

320 points: Shortest path = 3760m, Climbing = 164m
[17, 7, 3, 24, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

310 points: Shortest path = 3631m, Climbing = 132m
[17, 7, 24, 4, 26, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

300 points: Shortest path = 3601m, Climbing = 152m
[30, 10, 18, 20, 8, 19, 11, 22, 23, 14, 26, 4, 24, 3, 7]

290 points: Shortest path = 3472m, Climbing = 120m
[30, 10, 18, 20, 8, 19, 11, 22, 23, 14, 26, 4, 24, 7]

280 points: Shortest path = 3357m, Climbing = 128m
[17, 7, 24, 4, 14, 23, 22, 11, 19, 8, 20, 18, 10, 30]

270 points: Shortest path = 3326m, Climbing = 148m
[30, 10, 18, 20, 8, 19, 11, 22, 23, 14, 4, 24, 3, 7]

260 points: Shortest path = 3197m, Climbing = 116m
[30, 10, 18, 20, 8, 19, 11, 22, 23, 14, 4, 24, 7]

250 points: Shortest path = 3164m, Climbing = 128m
[17, 7, 24, 4, 14, 23, 11, 19, 8, 20, 18, 10, 30]

240 points: Shortest path = 3126m, Climbing = 124m
[30, 9, 20, 8, 19, 11, 22, 23, 14, 4, 24, 7]

230 points: Shortest path = 3005m, Climbing = 116m
[30, 10, 18, 20, 8, 19, 11, 23, 14, 4, 24, 7]

220 points: Shortest path = 2942m, Climbing = 116m
[17, 7, 23, 22, 11, 19, 8, 20, 18, 10, 30]

210 points: Shortest path = 2821m, Climbing = 128m
[17, 11, 22, 23, 14, 26, 4, 24, 3, 7]

200 points: Shortest path = 2692m, Climbing = 96m
[17, 11, 22, 23, 14, 26, 4, 24, 7]

190 points: Shortest path = 2642m, Climbing = 96m
[17, 2, 22, 11, 19, 8, 20, 18, 10, 30]

180 points: Shortest path = 2546m, Climbing = 124m
[17, 11, 22, 23, 14, 4, 24, 3, 7]

170 points: Shortest path = 2417m, Climbing = 92m
[17, 11, 22, 23, 14, 4, 24, 7]

160 points: Shortest path = 2302m, Climbing = 68m
[30, 10, 18, 20, 8, 19, 11, 17, 7]

150 points: Shortest path = 2137m, Climbing = 72m
[17, 11, 19, 8, 20, 18, 10, 30]

140 points: Shortest path = 2005m, Climbing = 68m
[30, 10, 18, 20, 8, 19, 17, 7]

130 points: Shortest path = 1840m, Climbing = 72m
[17, 19, 8, 20, 18, 10, 30]

120 points: Shortest path = 1826m, Climbing = 80m
[17, 19, 8, 20, 9, 30, 10]

110 points: Shortest path = 1695m, Climbing = 64m
[16, 9, 20, 18, 10, 30]

100 points: Shortest path = 1648m, Climbing = 72m
[10, 18, 20, 8, 9, 30]

90 points: Shortest path = 1310m, Climbing = 60m
[10, 18, 20, 9, 30]

80 points: Shortest path = 1326m, Climbing = 40m
[17, 16, 30, 10]

70 points: Shortest path = 1269m, Climbing = 40m
[17, 16, 30]

60 points: Shortest path = 958m, Climbing = 20m
[16, 30, 10]

50 points: Shortest path = 901m, Climbing = 20m
[16, 30]

40 points: Shortest path = 541m, Climbing = 12m
[10, 30]

30 points: Shortest path = 483m, Climbing = 12m
[30]

20 points: Shortest path = 598m, Climbing = 24m
[17]

10 points: Shortest path = 351m, Climbing = 4m
[10]

2 comments:

x said...

A conjecture
-------------

Since you started your analysis, this course and the Manly course are the two where there is an inflection point in the "length of shortest paths" graphs representing a non-linear relationship between distance and points. Meaning that higher scores were more than preportionally harder.

I'd be willing to bet than in both cases the distribution of resulting scores was compressed relative to other weeks. That is, a good chance for the middle and back of the back to post good relative scores.

Chris Brown said...

Hi Insider,
I agree with you 100% - and keenly await such courses! If only we could predict their occurrence in advance...
Cheers,
Chris