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

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]],
]

[download]

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 
+]

[download]

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 (Saint) 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 already excluded nodes

    ! 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]
],

    [download]

    So it's effectively the shortest remaining possibility.

    Cheers Rolf

    ( addicted to the Perl Programming Language)

    ¹) successively take the shortest edge to a yet unvisited node

[reply]
[d/l]

In Section Seekers of Perl Wisdom