Mathematica 能否完全替代Lingo？

入戏太深丶

要求从1开始，最终回到1，且路径有方向，要求所有路径都经过。
以下是lingo的代码
sets:
nodes/A,B,C,D,E,F,G,H,I,J,K,L/;
arcs(nodes,nodes)/
A,B A,E
9 B- h1 D/ G  n& A  i1 q4 }# LB,C B,E B,F
% t$ L6 M6 u! a, B$ S1 P  B5 v8 _C,B C,D
D,C D,H
E,A E,F
9 F: S7 }; _" m! W( r) {/ tF,B F,E F,G F,I F,J
G,C G,F G,H G,K
H,D H,K H,L
I,E I,J
J,F J,G
3 y  M" D) V) B( ~- eK,G K,J
L,K
/: c, x;
endsets
$ Z: ^4 \# Q6 v6 \% odata:
c=
) ^2 V- d& g& N' B. k150 165
) t) _6 d0 p6 m130 230 160
140 100
100 190
7 n& p! `) b) T- c165 144
170 144 128 218 174
200 122 109 185
, i2 }/ l; u" f( ^& O2 F7 a% A, m180 141 190
; u3 `9 x& j) h5 g2 X194 148
174 233
: k* G% Z# ^. n' b185 135
8 Q, ~/ Q2 p# V110;
& v& I: d7 |2 l2 ?( {  A& Henddata
n = @size(nodes);
min = @sum(arcs: c * x);
9 i) Y" ~% [. ^# |@for(nodes(i):
@sum(arcs(i,j):x(i,j))=@sum(arcs(k,i):x(k,i))
6 n3 Z: y: m% i3 c$ k) N, G) q);
+ F& G; [/ w" M& j% ^- S@for(arcs: @bnd(1,x,9));

: J3 p' V# b7 W6 z7 T它只能算出路径的步数和路程，并不能得到线路。希望能用mma解决这个问题。

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自己用mma写的程序对于四点还可以，但是扩展到12点实在繁琐：

& F, r, A! I! S6 Z- y+ U. ^

P11 = {2, 5}; P12 = {150, 165};

P21 = {5, 6}; P22 = {230, 160};

P51 = {1, 6}; P52 = {165, 144};

P61 = {2, 5}; P62 = {170, 144};(*只考虑1、2、5、6四点，P11为第一点“可去往的点”，P12表述对应的路程*)

open[q_] :=

Module[{i = 1, randomD, randomP, D, randomreal, p1, p2, p5, p6, c, u,

Df = 80000, uf, path = {1}, pathf = {1}, pb},(*随机搜索*)

For[r = 0, r < q, r++,

{p1 = {}; p2 = {}; p5 = {}; p6 = {}; u = 0; D = 0; i = 1;

randomP = P11; randomD = P12;

While[

Length[p1] != 2 || Length[p2] != 2 || Length[p5] != 2 ||

Length[p6] != 2 || i != 1,

randomreal = RandomInteger[{1, Length[randomP]}];

c = randomP[[randomreal]]; AppendTo[path, c];(*Print[path];*)

Which[

i == 1 &&

Product[If[p1[] != c, 1, 0], {i, 1, Length[p1]}] ==

1, {AppendTo[p1, c]},

i == 2 &&

Product[If[p2[] != c, 1, 0], {i, 1, Length[p2]}] ==

1, {AppendTo[p2, c]},

i == 5 &&

Product[If[p5[] != c, 1, 0], {i, 1, Length[p5]}] ==

1, {AppendTo[p5, c]},

i == 6 &&

Product[If[p6[] != c, 1, 0], {i, 1, Length[p6]}] ==

1, {AppendTo[p6, c]}];

i = c;

D = D + randomD[[randomreal]];

Which[i == 1, {randomP = P11, randomD = P12},

i == 2, {randomP = P21, randomD = P22},

i == 5, {randomP = P51, randomD = P52},

i == 6, {randomP = P61, randomD = P62}];

u = u + 1; If[u > 11, Break[]];

If[Df > D, {Df = D, uf = u, pathf = path, path = {1}},

path = {1}];

}

];

Print[Df, ",", uf, ",", pathf];

( b) N! R9 E- Q' }/ @. r

open[1000]