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### Re^14: Travelling problem (Anyone better 86850?)

by BrowserUk (Pope)
 on Dec 28, 2013 at 14:11 UTC ( #1068612=note: print w/replies, xml ) Need Help??

in reply to Re^13: Travelling problem (Anyone better 86850?)

Hm. If we sort the edges of the OP data

```[
[[    0,  0],*[ 3812,  1], [ 3267, 20], [ 5015,  5], [ 5230,  6], [
+5409, 16], [ 6170, 11], [ 6812, 12], [ 7575, 10], [ 8030, 15], [ 8619
+,  3], [ 9487, 13], [ 9615,  7], [10624,  8], [11078, 23], [11223, 22
+], [12822, 18], [12882, 21], [13346,  9], [13902,  2], [15811,  4], [
+17136, 19], [17959, 17], [18135, 14]],
[[    0,  1],*[ 3764, 10], [ 3812,  0], [ 4519,  6], [ 5154, 15], [
+6668, 11], [ 7056, 20], [ 7266, 23], [ 8057,  5], [ 8276, 16], [ 8761
+,  7], [ 9367, 18], [ 9698, 21], [10603, 12], [11117, 13], [11527,  2
+], [12431,  3], [12569,  9], [13603, 22], [14398,  8], [14805, 14], [
+14840, 19], [15446,  4], [18175, 17]],
[[    0,  2],*[ 3236, 18], [ 3457, 19], [ 4611,  7], [ 6381, 15], [
+6655, 23], [ 6859, 14], [ 7602, 17], [ 8226, 11], [ 8675,  6], [ 8798
+, 10], [ 8830, 21], [10220,  4], [11223, 16], [11527,  1], [11970,  9
+], [12993,  8], [13638,  3], [13902,  0], [14535, 20], [14748, 22], [
+15087, 12], [16591, 13], [18405,  5]],
[[    0,  3], [ 1926, 12],*[ 2157,  8], [ 5402, 20], [ 5555,  5], [
+5737, 16], [ 5765, 22], [ 7111, 13], [ 8619,  0], [ 9378, 17], [ 9609
+, 11], [ 9965,  4], [10917,  9], [11256,  6], [11549,  7], [11899, 19
+], [12431,  1], [12565, 14], [13638,  2], [14906, 15], [15921, 21], [
+16194, 10], [16868, 18], [19675, 23]],
[[    0,  4], [ 2940,  9],*[ 3517, 14], [ 3627, 17], [ 5155, 22], [
+6374, 13], [ 6475, 21], [ 7077, 19], [ 7873,  8], [ 9965,  3], [10220
+,  2], [10235, 23], [10307, 18], [11057, 12], [11122,  5], [13119, 10
+], [14478, 20], [14599,  7], [14973, 15], [15446,  1], [15565, 16], [
+15811,  0], [17793, 11], [18683,  6]],
[[    0,  5],*[ 3811, 12], [ 3881, 20], [ 4858, 13], [ 5015,  0], [
+5555,  3], [ 6210, 22], [ 6744,  8], [ 7186, 16], [ 8057,  1], [ 9617
+,  9], [10109,  6], [10270, 11], [11122,  4], [11348, 10], [12658, 21
+], [12975, 15], [13212, 17], [13856,  7], [14138, 23], [14594, 14], [
+17106, 19], [17301, 18], [18405,  2]],
[[    0,  6],*[ 2299, 11], [ 3741, 15], [ 4519,  1], [ 4584,  7], [
+5230,  0], [ 5549, 16], [ 6018, 10], [ 6865, 20], [ 8377, 18], [ 8600
+, 23], [ 8675,  2], [10109,  5], [10267, 12], [11256,  3], [11981, 19
+], [12543, 21], [13284,  8], [14709, 13], [15205, 14], [15863, 17], [
+16177, 22], [16923,  9], [18683,  4]],
[[    0,  7], [ 3619, 11],*[ 4584,  6], [ 4611,  2], [ 4627, 15], [
+6102, 18], [ 6948, 16], [ 7523, 19], [ 8240, 10], [ 8550, 23], [ 8761
+,  1], [ 9615,  0], [ 9992, 20], [11282, 17], [11444, 14], [11549,  3
+], [11888, 12], [12321, 21], [12503,  8], [13856,  5], [14599,  4], [
+16548,  9], [16782, 22], [18524, 13]],
[[    0,  8], [ 2157,  3], [ 3813, 12],*[ 4374, 22], [ 6447, 13], [
+6744,  5], [ 7340, 17], [ 7492, 20], [ 7735, 16], [ 7873,  4], [ 9231
+,  9], [10421, 19], [10427, 14], [10624,  0], [11405, 11], [12503,  7
+], [12993,  2], [13284,  6], [14151, 21], [14398,  1], [15982, 18], [
+16699, 15], [18070, 10], [18092, 23]],
[[    0,  9],*[ 2940,  4], [ 4874, 13], [ 5008, 21], [ 5170, 22], [
+5269, 14], [ 6543, 17], [ 9146, 23], [ 9231,  8], [ 9458, 19], [ 9617
+,  5], [10709, 18], [10917,  3], [11052, 10], [11199, 12], [11970,  2
+], [12569,  1], [13346,  0], [13488, 20], [14093, 15], [16358, 16], [
+16548,  7], [16923,  6], [19220, 11]],
[[    0, 10], [ 3508, 23],*[ 3614, 15], [ 3764,  1], [ 5954, 18], [
+6018,  6], [ 6649, 21], [ 7575,  0], [ 8220, 11], [ 8240,  7], [ 8798
+,  2], [10801, 20], [11052,  9], [11186, 14], [11306, 16], [11348,  5
+], [11533, 19], [12490, 13], [13119,  4], [14354, 12], [14452, 17], [
+14987, 22], [16194,  3], [18070,  8]],
[[    0, 11], [ 2299,  6], [ 3619,  7],*[ 3975, 16], [ 5330, 15], [
+6170,  0], [ 6469, 20], [ 6668,  1], [ 8220, 10], [ 8226,  2], [ 9100
+, 18], [ 9124, 12], [ 9609,  3], [10270,  5], [10326, 23], [10994, 19
+], [11405,  8], [14165, 17], [14453, 21], [15059, 14], [15115, 13], [
+15268, 22], [17793,  4], [19220,  9]],
[[    0, 12],*[ 1926,  3], [ 3728, 20], [ 3811,  5], [ 3813,  8], [
+5168, 16], [ 6168, 22], [ 6645, 13], [ 6812,  0], [ 9124, 11], [10267
+,  6], [10603,  1], [11057,  4], [11153, 17], [11199,  9], [11888,  7
+], [13808, 19], [13999, 15], [14126, 14], [14354, 10], [15087,  2], [
+15782, 21], [17749, 23], [17968, 18]],
[[    0, 13], [ 2621, 22], [ 4858,  5],*[ 4874,  9], [ 6374,  4], [
+6447,  8], [ 6645, 12], [ 7111,  3], [ 8652, 20], [ 9157, 21], [ 9288
+, 17], [ 9487,  0], [ 9754, 14], [11117,  1], [11588, 16], [12490, 10
+], [12782, 23], [13331, 19], [14709,  6], [15115, 11], [15400, 18], [
+15942, 15], [16591,  2], [18524,  7]],
[[    0, 14],*[ 3379, 17], [ 3517,  4], [ 4250, 19], [ 5269,  9], [
+5311, 21], [ 6859,  2], [ 6883, 18], [ 7729, 23], [ 8643, 22], [ 9754
+, 13], [10427,  8], [11186, 10], [11444,  7], [11725, 15], [12565,  3
+], [14126, 12], [14594,  5], [14805,  1], [15059, 11], [15205,  6], [
+16484, 16], [17835, 20], [18135,  0]],
[[    0, 15], [ 3614, 10], [ 3741,  6],*[ 4627,  7], [ 4874, 18], [
+5003, 23], [ 5154,  1], [ 5330, 11], [ 6381,  2], [ 8030,  0], [ 9122
+, 21], [ 9173, 16], [ 9780, 19], [10451, 20], [11725, 14], [12975,  5
+], [13841, 17], [13999, 12], [14093,  9], [14906,  3], [14973,  4], [
+15942, 13], [16699,  8], [18555, 22]],
[[    0, 16],*[ 3450, 20], [ 3975, 11], [ 5168, 12], [ 5409,  0], [
+5549,  6], [ 5737,  3], [ 6948,  7], [ 7186,  5], [ 7735,  8], [ 8276
+,  1], [ 9173, 15], [11223,  2], [11293, 22], [11306, 10], [11588, 13
+], [12642, 19], [12955, 18], [13413, 17], [14142, 23], [15565,  4], [
+16358,  9], [16484, 14], [17931, 21]],
[[    0, 17], [ 3379, 14], [ 3627,  4],*[ 4145, 19], [ 6543,  9], [
+7147, 22], [ 7340,  8], [ 7602,  2], [ 8581, 21], [ 9181, 18], [ 9288
+, 13], [ 9378,  3], [10945, 23], [11153, 12], [11282,  7], [13212,  5
+], [13413, 16], [13841, 15], [14165, 11], [14452, 10], [14775, 20], [
+15863,  6], [17959,  0], [18175,  1]],
[[    0, 18], [ 3236,  2], [ 3419, 23], [ 4874, 15], [ 5593, 19], [
+5954, 10], [ 6102,  7],*[ 6278, 21], [ 6883, 14], [ 8377,  6], [ 9100
+, 11], [ 9181, 17], [ 9367,  1], [10307,  4], [10709,  9], [12822,  0
+], [12955, 16], [15242, 20], [15400, 13], [15447, 22], [15982,  8], [
+16868,  3], [17301,  5], [17968, 12]],
[[    0, 19],*[ 3457,  2], [ 4145, 17], [ 4250, 14], [ 5593, 18], [
+7077,  4], [ 7523,  7], [ 8453, 23], [ 8478, 21], [ 9458,  9], [ 9780
+, 15], [10421,  8], [10994, 11], [11291, 22], [11533, 10], [11899,  3
+], [11981,  6], [12642, 16], [13331, 13], [13808, 12], [14840,  1], [
+15914, 20], [17106,  5], [17136,  0]],
[[    0, 20], [ 3267,  0], [ 3450, 16], [ 3728, 12],*[ 3881,  5], [
+5402,  3], [ 6469, 11], [ 6865,  6], [ 7056,  1], [ 7492,  8], [ 8652
+, 13], [ 9326, 22], [ 9992,  7], [10451, 15], [10801, 10], [13488,  9
+], [14308, 23], [14478,  4], [14535,  2], [14775, 17], [15242, 18], [
+15624, 21], [15914, 19], [17835, 14]],
[[    0, 21],*[ 4139, 23], [ 5008,  9], [ 5311, 14], [ 6278, 18], [
+6475,  4], [ 6649, 10], [ 8478, 19], [ 8581, 17], [ 8830,  2], [ 9122
+, 15], [ 9157, 13], [ 9698,  1], [10157, 22], [12321,  7], [12543,  6
+], [12658,  5], [12882,  0], [14151,  8], [14453, 11], [15624, 20], [
+15782, 12], [15921,  3], [17931, 16]],
[[    0, 22],*[ 2621, 13], [ 4374,  8], [ 5155,  4], [ 5170,  9], [
+5765,  3], [ 6168, 12], [ 6210,  5], [ 7147, 17], [ 8643, 14], [ 9326
+, 20], [10157, 21], [11223,  0], [11291, 19], [11293, 16], [13603,  1
+], [14265, 23], [14748,  2], [14987, 10], [15268, 11], [15447, 18], [
+16177,  6], [16782,  7], [18555, 15]],
[[    0, 23], [ 3419, 18], [ 3508, 10], [ 4139, 21], [ 5003, 15], [
+6655,  2], [ 7266,  1], [ 7729, 14], [ 8453, 19], [ 8550,  7], [ 8600
+,  6], [ 9146,  9], [10235,  4], [10326, 11], [10945, 17], [11078,  0
+], [12782, 13], [14138,  5], [14142, 16], [14265, 22], [14308, 20], [
+17749, 12], [18092,  8], [19675,  3]],
]

And consider the values for 84860:

```84860 [ 0 1 10 15 7 6 11 16 20 5 12 3 8 22 13 9 4 14 17 19 2 18 21 23
+]

We find that the 18-21 edge is ranked 8th.

With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.

Replies are listed 'Best First'.
Re^15: Travelling problem (Anyone better 86850?)
by LanX (Bishop) on Dec 28, 2013 at 14:26 UTC
The n shortest remaining edges¹!

You don't wanna visit a node again you've already seen. So it's not 8th cause the previous ones aren't possible anymore.

! marks target node

```84860 [ 0 1 10 15 7 6 11 16 20 5 12 3 8 22 13 9 4 14 17 19 2 18 21 23
+]

[
- [    0, 18],
- [ 3236,  2],
! [ 3419, 23],
- [ 4874, 15],
- [ 5593, 19],
- [ 5954, 10],
- [ 6102,  7],
* [ 6278, 21],
...
[ 6883, 14], [ 8377,  6], [ 9100, 11], [ 9181, 17], [ 9367,  1], [103
+07,  4], [10709,  9], [12822,  0], [12955, 16], [15242, 20], [15400,
+13], [15447, 22], [15982,  8], [16868,  3], [17301,  5], [17968, 12]
],

So it's effectively the shortest remaining possibility.

Cheers Rolf

( addicted to the Perl Programming Language)

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