summaryrefslogtreecommitdiff
path: root/.venv/lib/python3.12/site-packages/networkx/algorithms/__pycache__/euler.cpython-312.pyc
blob: c4fe65fc078aa34c822e240181553eaa2a8ffca4 (plain)
ofshex dumpascii
0000 cb 0d 0d 0a 00 00 00 00 85 fa a7 68 7d 37 00 00 e3 00 00 00 00 00 00 00 00 00 00 00 00 04 00 00 ...........h}7..................
0020 00 00 00 00 00 f3 48 01 00 00 97 00 64 00 5a 00 64 01 64 02 6c 01 6d 02 5a 02 01 00 64 01 64 03 ......H.....d.Z.d.d.l.m.Z...d.d.
0040 6c 03 5a 04 64 04 64 05 6c 05 6d 06 5a 06 6d 07 5a 07 01 00 67 00 64 06 a2 01 5a 08 65 04 6a 12 l.Z.d.d.l.m.Z.m.Z...g.d...Z.e.j.
0060 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 07 84 00 ab 00 00 00 00 00 00 00 5a 0a ..................d...........Z.
0080 65 04 6a 12 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 08 84 00 ab 00 00 00 00 00 e.j...................d.........
00a0 00 00 5a 0b 64 09 84 00 5a 0c 64 0a 84 00 5a 0d 64 0b 84 00 5a 0e 65 04 6a 12 00 00 00 00 00 00 ..Z.d...Z.d...Z.d...Z.e.j.......
00c0 00 00 00 00 00 00 00 00 00 00 00 00 64 13 64 0c 84 01 ab 00 00 00 00 00 00 00 5a 0f 65 04 6a 12 ............d.d...........Z.e.j.
00e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 14 64 0d 84 01 ab 00 00 00 00 00 00 00 ..................d.d...........
0100 5a 10 65 04 6a 12 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 13 64 0e 84 01 ab 00 Z.e.j...................d.d.....
0120 00 00 00 00 00 00 5a 11 02 00 65 07 64 0f ab 01 00 00 00 00 00 00 02 00 65 04 6a 12 00 00 00 00 ......Z...e.d...........e.j.....
0140 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 10 ac 11 ab 01 00 00 00 00 00 00 64 12 84 00 ab 00 ..............d...........d.....
0160 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 5a 12 79 03 29 15 7a 1f 0a 45 75 6c 65 72 69 61 6e 20 ..............Z.y.).z..Eulerian.
0180 63 69 72 63 75 69 74 73 20 61 6e 64 20 67 72 61 70 68 73 2e 0a e9 00 00 00 00 29 01 da 0c 63 6f circuits.and.graphs.......)...co
01a0 6d 62 69 6e 61 74 69 6f 6e 73 4e e9 02 00 00 00 29 02 da 11 61 72 62 69 74 72 61 72 79 5f 65 6c mbinationsN.....)...arbitrary_el
01c0 65 6d 65 6e 74 da 13 6e 6f 74 5f 69 6d 70 6c 65 6d 65 6e 74 65 64 5f 66 6f 72 29 06 da 0b 69 73 ement..not_implemented_for)...is
01e0 5f 65 75 6c 65 72 69 61 6e da 10 65 75 6c 65 72 69 61 6e 5f 63 69 72 63 75 69 74 da 08 65 75 6c _eulerian..eulerian_circuit..eul
0200 65 72 69 7a 65 da 0f 69 73 5f 73 65 6d 69 65 75 6c 65 72 69 61 6e da 11 68 61 73 5f 65 75 6c 65 erize..is_semieulerian..has_eule
0220 72 69 61 6e 5f 70 61 74 68 da 0d 65 75 6c 65 72 69 61 6e 5f 70 61 74 68 63 01 00 00 00 00 00 00 rian_path..eulerian_pathc.......
0240 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 e8 00 00 00 87 00 97 00 89 00 6a 01 00 00 00 00 00 00 ........................j.......
0260 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 2b 74 03 00 00 00 00 00 00 00 00 ....................r+t.........
0280 88 00 66 01 64 01 84 08 89 00 44 00 ab 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 78 01 72 15 ..f.d.....D.................x.r.
02a0 01 00 74 05 00 00 00 00 00 00 00 00 6a 06 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ..t.........j...................
02c0 89 00 ab 01 00 00 00 00 00 00 53 00 74 03 00 00 00 00 00 00 00 00 64 02 84 00 89 00 6a 09 00 00 ..........S.t.........d.....j...
02e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 44 00 ab 00 00 00 00 00 ........................D.......
0300 00 00 ab 01 00 00 00 00 00 00 78 01 72 15 01 00 74 05 00 00 00 00 00 00 00 00 6a 0a 00 00 00 00 ..........x.r...t.........j.....
0320 00 00 00 00 00 00 00 00 00 00 00 00 00 00 89 00 ab 01 00 00 00 00 00 00 53 00 29 03 61 70 04 00 ........................S.).ap..
0340 00 52 65 74 75 72 6e 73 20 54 72 75 65 20 69 66 20 61 6e 64 20 6f 6e 6c 79 20 69 66 20 60 47 60 .Returns.True.if.and.only.if.`G`
0360 20 69 73 20 45 75 6c 65 72 69 61 6e 2e 0a 0a 20 20 20 20 41 20 67 72 61 70 68 20 69 73 20 2a 45 .is.Eulerian.......A.graph.is.*E
0380 75 6c 65 72 69 61 6e 2a 20 69 66 20 69 74 20 68 61 73 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 63 ulerian*.if.it.has.an.Eulerian.c
03a0 69 72 63 75 69 74 2e 20 41 6e 20 2a 45 75 6c 65 72 69 61 6e 0a 20 20 20 20 63 69 72 63 75 69 74 ircuit..An.*Eulerian.....circuit
03c0 2a 20 69 73 20 61 20 63 6c 6f 73 65 64 20 77 61 6c 6b 20 74 68 61 74 20 69 6e 63 6c 75 64 65 73 *.is.a.closed.walk.that.includes
03e0 20 65 61 63 68 20 65 64 67 65 20 6f 66 20 61 20 67 72 61 70 68 20 65 78 61 63 74 6c 79 0a 20 20 .each.edge.of.a.graph.exactly...
0400 20 20 6f 6e 63 65 2e 0a 0a 20 20 20 20 47 72 61 70 68 73 20 77 69 74 68 20 69 73 6f 6c 61 74 65 ..once.......Graphs.with.isolate
0420 64 20 76 65 72 74 69 63 65 73 20 28 69 2e 65 2e 20 76 65 72 74 69 63 65 73 20 77 69 74 68 20 7a d.vertices.(i.e..vertices.with.z
0440 65 72 6f 20 64 65 67 72 65 65 29 20 61 72 65 20 6e 6f 74 0a 20 20 20 20 63 6f 6e 73 69 64 65 72 ero.degree).are.not.....consider
0460 65 64 20 74 6f 20 68 61 76 65 20 45 75 6c 65 72 69 61 6e 20 63 69 72 63 75 69 74 73 2e 20 54 68 ed.to.have.Eulerian.circuits..Th
0480 65 72 65 66 6f 72 65 2c 20 69 66 20 74 68 65 20 67 72 61 70 68 20 69 73 20 6e 6f 74 0a 20 20 20 erefore,.if.the.graph.is.not....
04a0 20 63 6f 6e 6e 65 63 74 65 64 20 28 6f 72 20 6e 6f 74 20 73 74 72 6f 6e 67 6c 79 20 63 6f 6e 6e .connected.(or.not.strongly.conn
04c0 65 63 74 65 64 2c 20 66 6f 72 20 64 69 72 65 63 74 65 64 20 67 72 61 70 68 73 29 2c 20 74 68 69 ected,.for.directed.graphs),.thi
04e0 73 20 66 75 6e 63 74 69 6f 6e 0a 20 20 20 20 72 65 74 75 72 6e 73 20 46 61 6c 73 65 2e 0a 0a 20 s.function.....returns.False....
0500 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 ...Parameters.....----------....
0520 20 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 0a 20 20 20 20 20 20 20 41 20 67 72 61 .G.:.NetworkX.graph........A.gra
0540 70 68 2c 20 65 69 74 68 65 72 20 64 69 72 65 63 74 65 64 20 6f 72 20 75 6e 64 69 72 65 63 74 65 ph,.either.directed.or.undirecte
0560 64 2e 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 d.......Examples.....--------...
0580 20 20 3e 3e 3e 20 6e 78 2e 69 73 5f 65 75 6c 65 72 69 61 6e 28 6e 78 2e 44 69 47 72 61 70 68 28 ..>>>.nx.is_eulerian(nx.DiGraph(
05a0 7b 30 3a 20 5b 33 5d 2c 20 31 3a 20 5b 32 5d 2c 20 32 3a 20 5b 33 5d 2c 20 33 3a 20 5b 30 2c 20 {0:.[3],.1:.[2],.2:.[3],.3:.[0,.
05c0 31 5d 7d 29 29 0a 20 20 20 20 54 72 75 65 0a 20 20 20 20 3e 3e 3e 20 6e 78 2e 69 73 5f 65 75 6c 1]})).....True.....>>>.nx.is_eul
05e0 65 72 69 61 6e 28 6e 78 2e 63 6f 6d 70 6c 65 74 65 5f 67 72 61 70 68 28 35 29 29 0a 20 20 20 20 erian(nx.complete_graph(5)).....
0600 54 72 75 65 0a 20 20 20 20 3e 3e 3e 20 6e 78 2e 69 73 5f 65 75 6c 65 72 69 61 6e 28 6e 78 2e 70 True.....>>>.nx.is_eulerian(nx.p
0620 65 74 65 72 73 65 6e 5f 67 72 61 70 68 28 29 29 0a 20 20 20 20 46 61 6c 73 65 0a 0a 20 20 20 20 etersen_graph()).....False......
0640 49 66 20 79 6f 75 20 70 72 65 66 65 72 20 74 6f 20 61 6c 6c 6f 77 20 67 72 61 70 68 73 20 77 69 If.you.prefer.to.allow.graphs.wi
0660 74 68 20 69 73 6f 6c 61 74 65 64 20 76 65 72 74 69 63 65 73 20 74 6f 20 68 61 76 65 20 45 75 6c th.isolated.vertices.to.have.Eul
0680 65 72 69 61 6e 20 63 69 72 63 75 69 74 73 2c 0a 20 20 20 20 79 6f 75 20 63 61 6e 20 66 69 72 73 erian.circuits,.....you.can.firs
06a0 74 20 72 65 6d 6f 76 65 20 73 75 63 68 20 76 65 72 74 69 63 65 73 20 61 6e 64 20 74 68 65 6e 20 t.remove.such.vertices.and.then.
06c0 63 61 6c 6c 20 60 69 73 5f 65 75 6c 65 72 69 61 6e 60 20 61 73 20 62 65 6c 6f 77 20 65 78 61 6d call.`is_eulerian`.as.below.exam
06e0 70 6c 65 20 73 68 6f 77 73 2e 0a 0a 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 47 72 61 70 68 ple.shows.......>>>.G.=.nx.Graph
0700 28 5b 28 30 2c 20 31 29 2c 20 28 31 2c 20 32 29 2c 20 28 30 2c 20 32 29 5d 29 0a 20 20 20 20 3e ([(0,.1),.(1,.2),.(0,.2)]).....>
0720 3e 3e 20 47 2e 61 64 64 5f 6e 6f 64 65 28 33 29 0a 20 20 20 20 3e 3e 3e 20 6e 78 2e 69 73 5f 65 >>.G.add_node(3).....>>>.nx.is_e
0740 75 6c 65 72 69 61 6e 28 47 29 0a 20 20 20 20 46 61 6c 73 65 0a 0a 20 20 20 20 3e 3e 3e 20 47 2e ulerian(G).....False......>>>.G.
0760 72 65 6d 6f 76 65 5f 6e 6f 64 65 73 5f 66 72 6f 6d 28 6c 69 73 74 28 6e 78 2e 69 73 6f 6c 61 74 remove_nodes_from(list(nx.isolat
0780 65 73 28 47 29 29 29 0a 20 20 20 20 3e 3e 3e 20 6e 78 2e 69 73 5f 65 75 6c 65 72 69 61 6e 28 47 es(G))).....>>>.nx.is_eulerian(G
07a0 29 0a 20 20 20 20 54 72 75 65 0a 0a 0a 20 20 20 20 63 01 00 00 00 00 00 00 00 00 00 00 00 05 00 ).....True.......c..............
07c0 00 00 33 00 00 00 f3 64 00 00 00 95 01 4b 00 01 00 97 00 7c 00 5d 27 00 00 7d 01 89 02 6a 01 00 ..3....d.....K.....|.]'..}...j..
07e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 89 02 6a 03 00 .................|...........j..
0800 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 6b 28 00 00 96 .................|.........k(...
0820 01 97 01 01 00 8c 29 04 00 79 00 ad 03 77 01 a9 01 4e a9 02 da 09 69 6e 5f 64 65 67 72 65 65 da ......)..y...w...N....in_degree.
0840 0a 6f 75 74 5f 64 65 67 72 65 65 29 03 da 02 2e 30 da 01 6e da 01 47 73 03 00 00 00 20 20 80 fa .out_degree)....0..n..Gs........
0860 60 2f 68 6f 6d 65 2f 62 6c 61 63 6b 68 61 6f 2f 75 69 75 63 2d 63 6f 75 72 73 65 2d 67 72 61 70 `/home/blackhao/uiuc-course-grap
0880 68 2f 2e 76 65 6e 76 2f 6c 69 62 2f 70 79 74 68 6f 6e 33 2e 31 32 2f 73 69 74 65 2d 70 61 63 6b h/.venv/lib/python3.12/site-pack
08a0 61 67 65 73 2f 6e 65 74 77 6f 72 6b 78 2f 61 6c 67 6f 72 69 74 68 6d 73 2f 65 75 6c 65 72 2e 70 ages/networkx/algorithms/euler.p
08c0 79 fa 09 3c 67 65 6e 65 78 70 72 3e 7a 1e 69 73 5f 65 75 6c 65 72 69 61 6e 2e 3c 6c 6f 63 61 6c y..<genexpr>z.is_eulerian.<local
08e0 73 3e 2e 3c 67 65 6e 65 78 70 72 3e 41 00 00 00 73 2b 00 00 00 f8 e8 00 f8 80 00 f2 00 02 13 0a s>.<genexpr>A...s+..............
0900 d8 32 33 88 41 8f 4b 89 4b 98 01 8b 4e 98 61 9f 6c 99 6c a8 31 9b 6f d5 0c 2d f1 03 02 13 0a f9 .23.A.K.K...N.a.l.l.1.o..-......
0920 73 04 00 00 00 83 2d 30 01 63 01 00 00 00 00 00 00 00 00 00 00 00 03 00 00 00 33 00 00 00 f3 32 s.....-0.c................3....2
0940 00 00 00 4b 00 01 00 97 00 7c 00 5d 0f 00 00 5c 02 00 00 7d 01 7d 02 7c 02 64 00 7a 06 00 00 64 ...K.....|.]...\...}.}.|.d.z...d
0960 01 6b 28 00 00 96 01 97 01 01 00 8c 11 04 00 79 02 ad 03 77 01 29 03 72 04 00 00 00 72 02 00 00 .k(............y...w.).r....r...
0980 00 4e a9 00 a9 03 72 13 00 00 00 da 01 76 da 01 64 73 03 00 00 00 20 20 20 72 16 00 00 00 72 17 .N....r......v..ds.......r....r.
09a0 00 00 00 7a 1e 69 73 5f 65 75 6c 65 72 69 61 6e 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 ...z.is_eulerian.<locals>.<genex
09c0 70 72 3e 46 00 00 00 73 1c 00 00 00 e8 00 f8 80 00 d2 0e 31 99 64 98 61 a0 11 88 71 90 31 89 75 pr>F...s...........1.d.a...q.1.u
09e0 98 01 8d 7a d1 0e 31 f9 f3 04 00 00 00 82 15 17 01 29 06 da 0b 69 73 5f 64 69 72 65 63 74 65 64 ...z..1..........)...is_directed
0a00 da 03 61 6c 6c da 02 6e 78 da 15 69 73 5f 73 74 72 6f 6e 67 6c 79 5f 63 6f 6e 6e 65 63 74 65 64 ..all..nx..is_strongly_connected
0a20 da 06 64 65 67 72 65 65 da 0c 69 73 5f 63 6f 6e 6e 65 63 74 65 64 a9 01 72 15 00 00 00 73 01 00 ..degree..is_connected..r....s..
0a40 00 00 60 72 16 00 00 00 72 07 00 00 00 72 07 00 00 00 15 00 00 00 73 65 00 00 00 f8 80 00 f0 52 ..`r....r....r........se.......R
0a60 01 00 08 09 87 7d 81 7d 84 7f f4 06 00 10 13 f3 00 02 13 0a d8 37 38 f4 03 02 13 0a f3 00 02 10 .....}.}.............78.........
0a80 0a f2 00 02 10 2a e4 0e 10 d7 0e 26 d1 0e 26 a0 71 d3 0e 29 f0 05 02 09 2a f4 0a 00 0c 0f d1 0e .....*.....&..&.q..)....*.......
0aa0 31 a0 61 a7 68 a1 68 a3 6a d4 0e 31 d3 0b 31 d2 0b 48 b4 62 b7 6f b1 6f c0 61 d3 36 48 d0 04 48 1.a.h.h.j..1..1..H.b.o.o.a.6H..H
0ac0 f3 00 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 03 00 00 00 03 00 00 00 f3 34 00 00 00 97 .....c.....................4....
0ae0 00 74 01 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 78 01 72 0c 01 00 74 03 00 00 00 .t.........|.........x.r...t....
0b00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 0c 00 53 00 29 01 7a b7 52 65 74 75 72 6e 20 54 72 .....|...........S.).z.Return.Tr
0b20 75 65 20 69 66 66 20 60 47 60 20 69 73 20 73 65 6d 69 2d 45 75 6c 65 72 69 61 6e 2e 0a 0a 20 20 ue.iff.`G`.is.semi-Eulerian.....
0b40 20 20 47 20 69 73 20 73 65 6d 69 2d 45 75 6c 65 72 69 61 6e 20 69 66 20 69 74 20 68 61 73 20 61 ..G.is.semi-Eulerian.if.it.has.a
0b60 6e 20 45 75 6c 65 72 69 61 6e 20 70 61 74 68 20 62 75 74 20 6e 6f 20 45 75 6c 65 72 69 61 6e 20 n.Eulerian.path.but.no.Eulerian.
0b80 63 69 72 63 75 69 74 2e 0a 0a 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 2d 2d 2d 2d 2d circuit.......See.Also.....-----
0ba0 2d 2d 2d 0a 20 20 20 20 68 61 73 5f 65 75 6c 65 72 69 61 6e 5f 70 61 74 68 0a 20 20 20 20 69 73 ---.....has_eulerian_path.....is
0bc0 5f 65 75 6c 65 72 69 61 6e 0a 20 20 20 20 29 02 72 0b 00 00 00 72 07 00 00 00 72 24 00 00 00 73 _eulerian.....).r....r....r$...s
0be0 01 00 00 00 20 72 16 00 00 00 72 0a 00 00 00 72 0a 00 00 00 49 00 00 00 73 1b 00 00 00 80 00 f4 .....r....r....r....I...s.......
0c00 16 00 0c 1d 98 51 d3 0b 1f d2 0b 36 ac 0b b0 41 ab 0e d0 24 36 d0 04 36 72 25 00 00 00 63 01 00 .....Q.....6...A...$6..6r%...c..
0c20 00 00 00 00 00 00 00 00 00 00 06 00 00 00 03 00 00 00 f3 36 01 00 00 87 00 97 00 74 01 00 00 00 ...................6.......t....
0c40 00 00 00 00 00 89 00 ab 01 00 00 00 00 00 00 73 01 79 01 74 03 00 00 00 00 00 00 00 00 89 00 ab ...............s.y.t............
0c60 01 00 00 00 00 00 00 72 0b 74 05 00 00 00 00 00 00 00 00 89 00 ab 01 00 00 00 00 00 00 53 00 89 .......r.t...................S..
0c80 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 35 88 .j...........................r5.
0ca0 00 66 01 64 02 84 08 89 00 44 00 ab 00 00 00 00 00 00 00 5c 02 00 00 7d 01 7d 02 89 00 6a 09 00 .f.d.....D.........\...}.}...j..
0cc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 89 00 6a 0b 00 .................|...........j..
0ce0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 6b 44 00 00 72 .................|.........kD..r
0d00 02 7c 01 53 00 7c 02 53 00 89 00 44 00 8f 03 63 02 67 00 63 02 5d 1c 00 00 7d 03 89 00 6a 0d 00 .|.S.|.S...D...c.g.c.]...}...j..
0d20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 64 03 7a 06 00 .................|.........d.z..
0d40 00 64 04 6b 37 00 00 73 01 8c 1b 7c 03 91 02 8c 1e 04 00 63 02 7d 03 64 04 19 00 00 00 7d 04 7c .d.k7..s...|.......c.}.d.....}.|
0d60 04 53 00 63 02 01 00 63 02 7d 03 77 00 29 05 7a 61 52 65 74 75 72 6e 20 61 20 73 75 69 74 61 62 .S.c...c.}.w.).zaReturn.a.suitab
0d80 6c 65 20 73 74 61 72 74 69 6e 67 20 76 65 72 74 65 78 20 66 6f 72 20 61 6e 20 45 75 6c 65 72 69 le.starting.vertex.for.an.Euleri
0da0 61 6e 20 70 61 74 68 2e 0a 0a 20 20 20 20 49 66 20 6e 6f 20 70 61 74 68 20 65 78 69 73 74 73 2c an.path.......If.no.path.exists,
0dc0 20 72 65 74 75 72 6e 20 4e 6f 6e 65 2e 0a 20 20 20 20 4e 63 01 00 00 00 00 00 00 00 00 00 00 00 .return.None......Nc............
0de0 05 00 00 00 33 00 00 00 f3 6a 00 00 00 95 01 4b 00 01 00 97 00 7c 00 5d 2a 00 00 7d 01 89 02 6a ....3....j.....K.....|.]*..}...j
0e00 01 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 89 02 6a ...................|...........j
0e20 03 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 6b 37 00 ...................|.........k7.
0e40 00 73 01 8c 27 7c 01 96 01 97 01 01 00 8c 2c 04 00 79 00 ad 03 77 01 72 0f 00 00 00 72 10 00 00 .s..'|........,..y...w.r....r...
0e60 00 29 03 72 13 00 00 00 72 1b 00 00 00 72 15 00 00 00 73 03 00 00 00 20 20 80 72 16 00 00 00 72 .).r....r....r....s.......r....r
0e80 17 00 00 00 7a 23 5f 66 69 6e 64 5f 70 61 74 68 5f 73 74 61 72 74 2e 3c 6c 6f 63 61 6c 73 3e 2e ....z#_find_path_start.<locals>.
0ea0 3c 67 65 6e 65 78 70 72 3e 63 00 00 00 73 28 00 00 00 f8 e8 00 f8 80 00 d2 11 44 98 01 a0 21 a7 <genexpr>c...s(...........D...!.
0ec0 2b a1 2b a8 61 a3 2e b0 41 b7 4c b1 4c c0 11 b3 4f d3 22 43 94 21 d1 11 44 f9 73 08 00 00 00 83 +.+.a...A.L.L...O."C.!..D.s.....
0ee0 28 33 01 ac 07 33 01 72 04 00 00 00 72 02 00 00 00 29 07 72 0b 00 00 00 72 07 00 00 00 72 05 00 (3...3.r....r....).r....r....r..
0f00 00 00 72 1e 00 00 00 72 12 00 00 00 72 11 00 00 00 72 22 00 00 00 29 05 72 15 00 00 00 da 02 76 ..r....r....r....r"...).r......v
0f20 31 da 02 76 32 72 1b 00 00 00 da 05 73 74 61 72 74 73 05 00 00 00 60 20 20 20 20 72 16 00 00 00 1..v2r......starts....`....r....
0f40 da 10 5f 66 69 6e 64 5f 70 61 74 68 5f 73 74 61 72 74 72 2c 00 00 00 57 00 00 00 73 90 00 00 00 .._find_path_startr,...W...s....
0f60 f8 80 00 f4 0a 00 0c 1d 98 51 d4 0b 1f d8 0f 13 e4 07 12 90 31 84 7e dc 0f 20 a0 11 d3 0f 23 d0 .........Q..........1.~.......#.
0f80 08 23 e0 07 08 87 7d 81 7d 84 7f db 11 44 98 51 d4 11 44 89 06 88 02 88 42 e0 0b 0c 8f 3c 89 3c .#....}.}....D.Q..D.....B....<.<
0fa0 98 02 d3 0b 1b 98 61 9f 6b 99 6b a8 22 9b 6f d2 0b 2d d8 13 15 88 49 e0 13 15 88 49 f0 08 00 1d ......a.k.k.".o..-....I....I....
0fc0 1e d6 10 36 90 71 a0 11 a7 18 a1 18 a8 21 a3 1b a8 71 a1 1f b0 41 d3 21 35 92 11 d2 10 36 b0 71 ...6.q.......!...q...A.!5....6.q
0fe0 d1 10 39 88 05 d8 0f 14 88 0c f9 f2 03 00 11 37 73 0c 00 00 00 c1 2d 1c 42 16 04 c2 0a 04 42 16 ..9............7s.....-.B.....B.
1000 04 63 02 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 23 00 00 00 f3 68 01 00 00 4b 00 01 00 97 .c................#....h...K....
1020 00 7c 00 6a 01 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 .|.j...........................r
1040 19 7c 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7d 02 7c 00 6a 04 00 00 00 .|.j...................}.|.j....
1060 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7d 03 6e 18 7c 00 6a 06 00 00 00 00 00 00 00 00 00 ...............}.n.|.j..........
1080 00 00 00 00 00 00 00 00 00 7d 02 7c 00 6a 08 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .........}.|.j..................
10a0 00 7d 03 7c 01 67 01 7d 04 64 00 7d 05 7c 04 72 66 7c 04 64 01 19 00 00 00 7d 06 02 00 7c 02 7c .}.|.g.}.d.}.|.rf|.d.....}...|.|
10c0 06 ab 01 00 00 00 00 00 00 64 02 6b 28 00 00 72 1b 7c 05 81 06 7c 05 7c 06 66 02 96 01 97 01 01 .........d.k(..r.|...|.|.f......
10e0 00 7c 06 7d 05 7c 04 6a 0b 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 .|.}.|.j........................
1100 00 00 00 01 00 6e 37 74 0d 00 00 00 00 00 00 00 00 02 00 7c 03 7c 06 ab 01 00 00 00 00 00 00 ab .....n7t...........|.|..........
1120 01 00 00 00 00 00 00 5c 02 00 00 7d 07 7d 08 7c 04 6a 0f 00 00 00 00 00 00 00 00 00 00 00 00 00 .......\...}.}.|.j..............
1140 00 00 00 00 00 7c 08 ab 01 00 00 00 00 00 00 01 00 7c 00 6a 11 00 00 00 00 00 00 00 00 00 00 00 .....|...........|.j............
1160 00 00 00 00 00 00 00 7c 06 7c 08 ab 02 00 00 00 00 00 00 01 00 7c 04 72 01 8c 65 79 00 79 00 ad .......|.|...........|.r..ey.y..
1180 03 77 01 29 03 4e e9 ff ff ff ff 72 02 00 00 00 a9 09 72 1e 00 00 00 72 12 00 00 00 da 09 6f 75 .w.).N.....r......r....r......ou
11a0 74 5f 65 64 67 65 73 72 22 00 00 00 da 05 65 64 67 65 73 da 03 70 6f 70 72 05 00 00 00 da 06 61 t_edgesr".....edges..popr......a
11c0 70 70 65 6e 64 da 0b 72 65 6d 6f 76 65 5f 65 64 67 65 29 09 72 15 00 00 00 da 06 73 6f 75 72 63 ppend..remove_edge).r......sourc
11e0 65 72 22 00 00 00 72 31 00 00 00 da 0c 76 65 72 74 65 78 5f 73 74 61 63 6b da 0b 6c 61 73 74 5f er"...r1.....vertex_stack..last_
1200 76 65 72 74 65 78 da 0e 63 75 72 72 65 6e 74 5f 76 65 72 74 65 78 da 01 5f da 0b 6e 65 78 74 5f vertex..current_vertex.._..next_
1220 76 65 72 74 65 78 73 09 00 00 00 20 20 20 20 20 20 20 20 20 72 16 00 00 00 da 1d 5f 73 69 6d 70 vertexs.............r......_simp
1240 6c 65 67 72 61 70 68 5f 65 75 6c 65 72 69 61 6e 5f 63 69 72 63 75 69 74 72 3b 00 00 00 70 00 00 legraph_eulerian_circuitr;...p..
1260 00 73 af 00 00 00 e8 00 f8 80 00 d8 07 08 87 7d 81 7d 84 7f d8 11 12 97 1c 91 1c 88 06 d8 10 11 .s.............}.}..............
1280 97 0b 91 0b 89 05 e0 11 12 97 18 91 18 88 06 d8 10 11 97 07 91 07 88 05 d8 14 1a 90 38 80 4c d8 ............................8.L.
12a0 12 16 80 4b d9 0a 16 d8 19 25 a0 62 d1 19 29 88 0e d9 0b 11 90 2e d3 0b 21 a0 51 d2 0b 26 d8 0f ...K.....%.b..).........!.Q..&..
12c0 1a d0 0f 26 d8 17 22 a0 4e d0 16 33 d2 10 33 d8 1a 28 88 4b d8 0c 18 d7 0c 1c d1 0c 1c d5 0c 1e ...&..".N..3..3..(.K............
12e0 e4 1d 2e a9 75 b0 5e d3 2f 44 d3 1d 45 89 4e 88 41 88 7b d8 0c 18 d7 0c 1f d1 0c 1f a0 0b d4 0c ....u.^./D..E.N.A.{.............
1300 2c d8 0c 0d 8f 4d 89 4d 98 2e a8 2b d4 0c 36 f4 15 00 0b 17 f9 73 0c 00 00 00 82 42 2d 42 32 01 ,....M.M...+..6......s.....B-B2.
1320 c2 30 02 42 32 01 63 02 00 00 00 00 00 00 00 00 00 00 00 06 00 00 00 23 00 00 00 f3 8c 01 00 00 .0.B2.c................#........
1340 4b 00 01 00 97 00 7c 00 6a 01 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 K.....|.j.......................
1360 00 00 00 00 72 19 7c 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7d 02 7c 00 ....r.|.j...................}.|.
1380 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7d 03 6e 18 7c 00 6a 06 00 00 00 00 j...................}.n.|.j.....
13a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7d 02 7c 00 6a 08 00 00 00 00 00 00 00 00 00 00 00 00 ..............}.|.j.............
13c0 00 00 00 00 00 00 7d 03 7c 01 64 00 66 02 67 01 7d 04 64 00 7d 05 64 00 7d 06 7c 04 72 74 7c 04 ......}.|.d.f.g.}.d.}.d.}.|.rt|.
13e0 64 01 19 00 00 00 5c 02 00 00 7d 07 7d 08 02 00 7c 02 7c 07 ab 01 00 00 00 00 00 00 64 02 6b 28 d.....\...}.}...|.|.........d.k(
1400 00 00 72 1e 7c 05 81 07 7c 05 7c 07 7c 06 66 03 96 01 97 01 01 00 7c 07 7c 08 7d 06 7d 05 7c 04 ..r.|...|.|.|.f.......|.|.}.}.|.
1420 6a 0b 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 01 00 6e 3f j.............................n?
1440 74 0d 00 00 00 00 00 00 00 00 02 00 7c 03 7c 07 64 03 ac 04 ab 02 00 00 00 00 00 00 ab 01 00 00 t...........|.|.d...............
1460 00 00 00 00 7d 09 7c 09 5c 03 00 00 7d 0a 7d 0b 7d 0c 7c 04 6a 0f 00 00 00 00 00 00 00 00 00 00 ....}.|.\...}.}.}.|.j...........
1480 00 00 00 00 00 00 00 00 7c 0b 7c 0c 66 02 ab 01 00 00 00 00 00 00 01 00 7c 00 6a 11 00 00 00 00 ........|.|.f...........|.j.....
14a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 07 7c 0b 7c 0c ab 03 00 00 00 00 00 00 01 00 7c 04 ..............|.|.|...........|.
14c0 72 01 8c 73 79 00 79 00 ad 03 77 01 29 05 4e 72 2e 00 00 00 72 02 00 00 00 54 29 01 da 04 6b 65 r..sy.y...w.).Nr....r....T)...ke
14e0 79 73 72 2f 00 00 00 29 0d 72 15 00 00 00 72 35 00 00 00 72 22 00 00 00 72 31 00 00 00 72 36 00 ysr/...).r....r5...r"...r1...r6.
1500 00 00 72 37 00 00 00 da 08 6c 61 73 74 5f 6b 65 79 72 38 00 00 00 da 0b 63 75 72 72 65 6e 74 5f ..r7.....last_keyr8.....current_
1520 6b 65 79 da 06 74 72 69 70 6c 65 72 39 00 00 00 72 3a 00 00 00 da 08 6e 65 78 74 5f 6b 65 79 73 key..tripler9...r:.....next_keys
1540 0d 00 00 00 20 20 20 20 20 20 20 20 20 20 20 20 20 72 16 00 00 00 da 1c 5f 6d 75 6c 74 69 67 72 .................r......_multigr
1560 61 70 68 5f 65 75 6c 65 72 69 61 6e 5f 63 69 72 63 75 69 74 72 42 00 00 00 86 00 00 00 73 d5 00 aph_eulerian_circuitrB.......s..
1580 00 00 e8 00 f8 80 00 d8 07 08 87 7d 81 7d 84 7f d8 11 12 97 1c 91 1c 88 06 d8 10 11 97 0b 91 0b ...........}.}..................
15a0 89 05 e0 11 12 97 18 91 18 88 06 d8 10 11 97 07 91 07 88 05 d8 15 1b 98 54 90 4e d0 13 23 80 4c ........................T.N..#.L
15c0 d8 12 16 80 4b d8 0f 13 80 48 d9 0a 16 d8 26 32 b0 32 d1 26 36 d1 08 23 88 0e 98 0b d9 0b 11 90 ....K....H....&2.2.&6..#........
15e0 2e d3 0b 21 a0 51 d2 0b 26 d8 0f 1a d0 0f 26 d8 17 22 a0 4e b0 48 d0 16 3d d2 10 3d d8 24 32 b0 ...!.Q..&.....&..".N.H..=..=.$2.
1600 4b 98 18 88 4b d8 0c 18 d7 0c 1c d1 0c 1c d5 0c 1e e4 15 26 a1 75 a8 5e c0 24 d4 27 47 d3 15 48 K...K..............&.u.^.$.'G..H
1620 88 46 d8 27 2d d1 0c 24 88 41 88 7b 98 48 d8 0c 18 d7 0c 1f d1 0c 1f a0 1b a8 68 d0 20 37 d4 0c .F.'-..$.A.{.H............h..7..
1640 38 d8 0c 0d 8f 4d 89 4d 98 2e a8 2b b0 78 d4 0c 40 f4 17 00 0b 17 f9 73 0c 00 00 00 82 42 3f 43 8....M.M...+.x..@......s.....B?C
1660 04 01 c3 02 02 43 04 01 63 03 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 23 00 00 00 f3 60 01 .....C..c................#....`.
1680 00 00 4b 00 01 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 73 15 74 03 ..K.....t.........|.........s.t.
16a0 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 01 ab 01 ........j...................d...
16c0 00 00 00 00 00 00 82 01 7c 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 ........|.j.....................
16e0 00 00 00 00 00 00 72 11 7c 00 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 ......r.|.j.....................
1700 00 00 00 00 00 00 7d 00 6e 10 7c 00 6a 0b 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ......}.n.|.j...................
1720 ab 00 00 00 00 00 00 00 7d 00 7c 01 80 0b 74 0d 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 ........}.|...t.........|.......
1740 00 00 7d 01 7c 00 6a 0f 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 ..}.|.j.........................
1760 00 00 72 26 74 11 00 00 00 00 00 00 00 00 7c 00 7c 01 ab 02 00 00 00 00 00 00 44 00 5d 16 00 00 ..r&t.........|.|.........D.]...
1780 5c 03 00 00 7d 03 7d 04 7d 05 7c 02 72 08 7c 03 7c 04 7c 05 66 03 96 01 97 01 01 00 8c 11 7c 03 \...}.}.}.|.r.|.|.|.f.........|.
17a0 7c 04 66 02 96 01 97 01 01 00 8c 18 04 00 79 02 74 13 00 00 00 00 00 00 00 00 7c 00 7c 01 ab 02 |.f...........y.t.........|.|...
17c0 00 00 00 00 00 00 45 00 64 02 7b 03 00 00 96 02 97 02 86 05 05 00 01 00 79 02 37 00 8c 05 ad 03 ......E.d.{.............y.7.....
17e0 77 01 29 03 61 2e 06 00 00 52 65 74 75 72 6e 73 20 61 6e 20 69 74 65 72 61 74 6f 72 20 6f 76 65 w.).a....Returns.an.iterator.ove
1800 72 20 74 68 65 20 65 64 67 65 73 20 6f 66 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 63 69 72 63 75 r.the.edges.of.an.Eulerian.circu
1820 69 74 20 69 6e 20 60 47 60 2e 0a 0a 20 20 20 20 41 6e 20 2a 45 75 6c 65 72 69 61 6e 20 63 69 72 it.in.`G`.......An.*Eulerian.cir
1840 63 75 69 74 2a 20 69 73 20 61 20 63 6c 6f 73 65 64 20 77 61 6c 6b 20 74 68 61 74 20 69 6e 63 6c cuit*.is.a.closed.walk.that.incl
1860 75 64 65 73 20 65 61 63 68 20 65 64 67 65 20 6f 66 20 61 0a 20 20 20 20 67 72 61 70 68 20 65 78 udes.each.edge.of.a.....graph.ex
1880 61 63 74 6c 79 20 6f 6e 63 65 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 actly.once.......Parameters.....
18a0 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 ----------.....G.:.NetworkX.grap
18c0 68 0a 20 20 20 20 20 20 20 41 20 67 72 61 70 68 2c 20 65 69 74 68 65 72 20 64 69 72 65 63 74 65 h........A.graph,.either.directe
18e0 64 20 6f 72 20 75 6e 64 69 72 65 63 74 65 64 2e 0a 0a 20 20 20 20 73 6f 75 72 63 65 20 3a 20 6e d.or.undirected.......source.:.n
1900 6f 64 65 2c 20 6f 70 74 69 6f 6e 61 6c 0a 20 20 20 20 20 20 20 53 74 61 72 74 69 6e 67 20 6e 6f ode,.optional........Starting.no
1920 64 65 20 66 6f 72 20 63 69 72 63 75 69 74 2e 0a 0a 20 20 20 20 6b 65 79 73 20 3a 20 62 6f 6f 6c de.for.circuit.......keys.:.bool
1940 0a 20 20 20 20 20 20 20 49 66 20 46 61 6c 73 65 2c 20 65 64 67 65 73 20 67 65 6e 65 72 61 74 65 ........If.False,.edges.generate
1960 64 20 62 79 20 74 68 69 73 20 66 75 6e 63 74 69 6f 6e 20 77 69 6c 6c 20 62 65 20 6f 66 20 74 68 d.by.this.function.will.be.of.th
1980 65 20 66 6f 72 6d 0a 20 20 20 20 20 20 20 60 60 28 75 2c 20 76 29 60 60 2e 20 4f 74 68 65 72 77 e.form........``(u,.v)``..Otherw
19a0 69 73 65 2c 20 65 64 67 65 73 20 77 69 6c 6c 20 62 65 20 6f 66 20 74 68 65 20 66 6f 72 6d 20 60 ise,.edges.will.be.of.the.form.`
19c0 60 28 75 2c 20 76 2c 20 6b 29 60 60 2e 0a 20 20 20 20 20 20 20 54 68 69 73 20 6f 70 74 69 6f 6e `(u,.v,.k)``.........This.option
19e0 20 69 73 20 69 67 6e 6f 72 65 64 20 75 6e 6c 65 73 73 20 60 47 60 20 69 73 20 61 20 6d 75 6c 74 .is.ignored.unless.`G`.is.a.mult
1a00 69 67 72 61 70 68 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d igraph.......Returns.....-------
1a20 0a 20 20 20 20 65 64 67 65 73 20 3a 20 69 74 65 72 61 74 6f 72 0a 20 20 20 20 20 20 20 41 6e 20 .....edges.:.iterator........An.
1a40 69 74 65 72 61 74 6f 72 20 6f 76 65 72 20 65 64 67 65 73 20 69 6e 20 74 68 65 20 45 75 6c 65 72 iterator.over.edges.in.the.Euler
1a60 69 61 6e 20 63 69 72 63 75 69 74 2e 0a 0a 20 20 20 20 52 61 69 73 65 73 0a 20 20 20 20 2d 2d 2d ian.circuit.......Raises.....---
1a80 2d 2d 2d 0a 20 20 20 20 4e 65 74 77 6f 72 6b 58 45 72 72 6f 72 0a 20 20 20 20 20 20 20 49 66 20 ---.....NetworkXError........If.
1aa0 74 68 65 20 67 72 61 70 68 20 69 73 20 6e 6f 74 20 45 75 6c 65 72 69 61 6e 2e 0a 0a 20 20 20 20 the.graph.is.not.Eulerian.......
1ac0 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 69 73 5f 65 75 6c See.Also.....--------.....is_eul
1ae0 65 72 69 61 6e 0a 0a 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 54 erian......Notes.....-----.....T
1b00 68 69 73 20 69 73 20 61 20 6c 69 6e 65 61 72 20 74 69 6d 65 20 69 6d 70 6c 65 6d 65 6e 74 61 74 his.is.a.linear.time.implementat
1b20 69 6f 6e 20 6f 66 20 61 6e 20 61 6c 67 6f 72 69 74 68 6d 20 61 64 61 70 74 65 64 20 66 72 6f 6d ion.of.an.algorithm.adapted.from
1b40 20 5b 31 5d 5f 2e 0a 0a 20 20 20 20 46 6f 72 20 67 65 6e 65 72 61 6c 20 69 6e 66 6f 72 6d 61 74 .[1]_.......For.general.informat
1b60 69 6f 6e 20 61 62 6f 75 74 20 45 75 6c 65 72 20 74 6f 75 72 73 2c 20 73 65 65 20 5b 32 5d 5f 2e ion.about.Euler.tours,.see.[2]_.
1b80 0a 0a 20 20 20 20 52 65 66 65 72 65 6e 63 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a ......References.....----------.
1ba0 20 20 20 20 2e 2e 20 5b 31 5d 20 4a 2e 20 45 64 6d 6f 6e 64 73 2c 20 45 2e 20 4c 2e 20 4a 6f 68 .......[1].J..Edmonds,.E..L..Joh
1bc0 6e 73 6f 6e 2e 0a 20 20 20 20 20 20 20 4d 61 74 63 68 69 6e 67 2c 20 45 75 6c 65 72 20 74 6f 75 nson.........Matching,.Euler.tou
1be0 72 73 20 61 6e 64 20 74 68 65 20 43 68 69 6e 65 73 65 20 70 6f 73 74 6d 61 6e 2e 0a 20 20 20 20 rs.and.the.Chinese.postman......
1c00 20 20 20 4d 61 74 68 65 6d 61 74 69 63 61 6c 20 70 72 6f 67 72 61 6d 6d 69 6e 67 2c 20 56 6f 6c ...Mathematical.programming,.Vol
1c20 75 6d 65 20 35 2c 20 49 73 73 75 65 20 31 20 28 31 39 37 33 29 2c 20 31 31 31 2d 31 31 34 2e 0a ume.5,.Issue.1.(1973),.111-114..
1c40 20 20 20 20 2e 2e 20 5b 32 5d 20 68 74 74 70 73 3a 2f 2f 65 6e 2e 77 69 6b 69 70 65 64 69 61 2e .......[2].https://en.wikipedia.
1c60 6f 72 67 2f 77 69 6b 69 2f 45 75 6c 65 72 69 61 6e 5f 70 61 74 68 0a 0a 20 20 20 20 45 78 61 6d org/wiki/Eulerian_path......Exam
1c80 70 6c 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 54 6f 20 67 65 74 20 61 6e 20 ples.....--------.....To.get.an.
1ca0 45 75 6c 65 72 69 61 6e 20 63 69 72 63 75 69 74 20 69 6e 20 61 6e 20 75 6e 64 69 72 65 63 74 65 Eulerian.circuit.in.an.undirecte
1cc0 64 20 67 72 61 70 68 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 63 6f d.graph::..........>>>.G.=.nx.co
1ce0 6d 70 6c 65 74 65 5f 67 72 61 70 68 28 33 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6c 69 73 74 mplete_graph(3).........>>>.list
1d00 28 6e 78 2e 65 75 6c 65 72 69 61 6e 5f 63 69 72 63 75 69 74 28 47 29 29 0a 20 20 20 20 20 20 20 (nx.eulerian_circuit(G))........
1d20 20 5b 28 30 2c 20 32 29 2c 20 28 32 2c 20 31 29 2c 20 28 31 2c 20 30 29 5d 0a 20 20 20 20 20 20 .[(0,.2),.(2,.1),.(1,.0)].......
1d40 20 20 3e 3e 3e 20 6c 69 73 74 28 6e 78 2e 65 75 6c 65 72 69 61 6e 5f 63 69 72 63 75 69 74 28 47 ..>>>.list(nx.eulerian_circuit(G
1d60 2c 20 73 6f 75 72 63 65 3d 31 29 29 0a 20 20 20 20 20 20 20 20 5b 28 31 2c 20 32 29 2c 20 28 32 ,.source=1)).........[(1,.2),.(2
1d80 2c 20 30 29 2c 20 28 30 2c 20 31 29 5d 0a 0a 20 20 20 20 54 6f 20 67 65 74 20 74 68 65 20 73 65 ,.0),.(0,.1)]......To.get.the.se
1da0 71 75 65 6e 63 65 20 6f 66 20 76 65 72 74 69 63 65 73 20 69 6e 20 61 6e 20 45 75 6c 65 72 69 61 quence.of.vertices.in.an.Euleria
1dc0 6e 20 63 69 72 63 75 69 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 5b 75 20 66 6f 72 20 n.circuit::..........>>>.[u.for.
1de0 75 2c 20 76 20 69 6e 20 6e 78 2e 65 75 6c 65 72 69 61 6e 5f 63 69 72 63 75 69 74 28 47 29 5d 0a u,.v.in.nx.eulerian_circuit(G)].
1e00 20 20 20 20 20 20 20 20 5b 30 2c 20 32 2c 20 31 5d 0a 0a 20 20 20 20 7a 12 47 20 69 73 20 6e 6f ........[0,.2,.1]......z.G.is.no
1e20 74 20 45 75 6c 65 72 69 61 6e 2e 4e 29 0a 72 07 00 00 00 72 20 00 00 00 da 0d 4e 65 74 77 6f 72 t.Eulerian.N).r....r......Networ
1e40 6b 58 45 72 72 6f 72 72 1e 00 00 00 da 07 72 65 76 65 72 73 65 da 04 63 6f 70 79 72 05 00 00 00 kXErrorr......reverse..copyr....
1e60 da 0d 69 73 5f 6d 75 6c 74 69 67 72 61 70 68 72 42 00 00 00 72 3b 00 00 00 a9 06 72 15 00 00 00 ..is_multigraphrB...r;.....r....
1e80 72 35 00 00 00 72 3d 00 00 00 da 01 75 72 1b 00 00 00 da 01 6b 73 06 00 00 00 20 20 20 20 20 20 r5...r=.....ur......ks..........
1ea0 72 16 00 00 00 72 08 00 00 00 72 08 00 00 00 9e 00 00 00 73 9f 00 00 00 e8 00 f8 80 00 f4 7e 01 r....r....r........s..........~.
1ec0 00 0c 17 90 71 8c 3e dc 0e 10 d7 0e 1e d1 0e 1e d0 1f 33 d3 0e 34 d0 08 34 d8 07 08 87 7d 81 7d ....q.>...........3..4..4....}.}
1ee0 84 7f d8 0c 0d 8f 49 89 49 8b 4b 89 01 e0 0c 0d 8f 46 89 46 8b 48 88 01 d8 07 0d 80 7e dc 11 22 ......I.I.K......F.F.H......~.."
1f00 a0 31 d3 11 25 88 06 d8 07 08 87 7f 81 7f d4 07 18 dc 17 33 b0 41 b0 76 d3 17 3e f2 00 04 09 1b .1..%..............3.A.v..>.....
1f20 89 47 88 41 88 71 90 21 d9 0f 13 d8 16 17 98 11 98 41 90 67 93 0d e0 16 17 98 11 90 64 93 0a f1 .G.A.q.!.........A.g........d...
1f40 09 04 09 1b f4 0c 00 14 31 b0 11 b0 46 d3 13 3b d7 08 3b d2 08 3b fa 73 12 00 00 00 82 42 24 42 ........1...F..;..;..;.s.....B$B
1f60 2e 01 c2 26 01 42 2c 04 c2 27 06 42 2e 01 63 02 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 ...&.B,..'.B..c.................
1f80 00 00 00 f3 0a 02 00 00 97 00 74 01 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 ..........t.........j...........
1fa0 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 72 01 79 01 7c 00 6a 05 00 00 00 00 00 00 ........|.........r.y.|.j.......
1fc0 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 8c 7c 00 6a 06 00 00 00 00 00 00 ....................r.|.j.......
1fe0 00 00 00 00 00 00 00 00 00 00 00 00 7d 02 7c 00 6a 08 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ............}.|.j...............
2000 00 00 00 00 7d 03 7c 01 81 0f 7c 03 7c 01 19 00 00 00 7c 02 7c 01 19 00 00 00 7a 0a 00 00 64 02 ....}.|...|.|.....|.|.....z...d.
2020 6b 37 00 00 72 01 79 03 64 04 7d 04 64 04 7d 05 7c 00 44 00 5d 37 00 00 7d 06 7c 02 7c 06 19 00 k7..r.y.d.}.d.}.|.D.]7..}.|.|...
2040 00 00 7c 03 7c 06 19 00 00 00 7a 0a 00 00 64 02 6b 28 00 00 72 06 7c 04 64 02 7a 0d 00 00 7d 04 ..|.|.....z...d.k(..r.|.d.z...}.
2060 8c 17 7c 03 7c 06 19 00 00 00 7c 02 7c 06 19 00 00 00 7a 0a 00 00 64 02 6b 28 00 00 72 06 7c 05 ..|.|.....|.|.....z...d.k(..r.|.
2080 64 02 7a 0d 00 00 7d 05 8c 2b 7c 02 7c 06 19 00 00 00 7c 03 7c 06 19 00 00 00 6b 37 00 00 73 01 d.z...}..+|.|.....|.|.....k7..s.
20a0 8c 37 01 00 79 03 04 00 7c 04 64 02 6b 1a 00 00 78 01 72 1c 01 00 7c 05 64 02 6b 1a 00 00 78 01 .7..y...|.d.k...x.r...|.d.k...x.
20c0 72 15 01 00 74 01 00 00 00 00 00 00 00 00 6a 0a 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 r...t.........j.................
20e0 00 00 7c 00 ab 01 00 00 00 00 00 00 53 00 7c 01 81 16 7c 00 6a 0c 00 00 00 00 00 00 00 00 00 00 ..|.........S.|...|.j...........
2100 00 00 00 00 00 00 00 00 7c 01 19 00 00 00 64 05 7a 06 00 00 64 02 6b 37 00 00 72 01 79 03 74 0f ........|.....d.z...d.k7..r.y.t.
2120 00 00 00 00 00 00 00 00 64 06 84 00 7c 00 6a 0d 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ........d...|.j.................
2140 00 00 ab 00 00 00 00 00 00 00 44 00 ab 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 64 05 6b 28 ..........D.................d.k(
2160 00 00 78 01 72 15 01 00 74 01 00 00 00 00 00 00 00 00 6a 10 00 00 00 00 00 00 00 00 00 00 00 00 ..x.r...t.........j.............
2180 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 53 00 29 07 61 8c 08 00 00 52 65 74 75 72 6e 20 ......|.........S.).a....Return.
21a0 54 72 75 65 20 69 66 66 20 60 47 60 20 68 61 73 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 70 61 74 True.iff.`G`.has.an.Eulerian.pat
21c0 68 2e 0a 0a 20 20 20 20 41 6e 20 45 75 6c 65 72 69 61 6e 20 70 61 74 68 20 69 73 20 61 20 70 61 h.......An.Eulerian.path.is.a.pa
21e0 74 68 20 69 6e 20 61 20 67 72 61 70 68 20 77 68 69 63 68 20 75 73 65 73 20 65 61 63 68 20 65 64 th.in.a.graph.which.uses.each.ed
2200 67 65 20 6f 66 20 61 20 67 72 61 70 68 0a 20 20 20 20 65 78 61 63 74 6c 79 20 6f 6e 63 65 2e 20 ge.of.a.graph.....exactly.once..
2220 49 66 20 60 73 6f 75 72 63 65 60 20 69 73 20 73 70 65 63 69 66 69 65 64 2c 20 74 68 65 6e 20 74 If.`source`.is.specified,.then.t
2240 68 69 73 20 66 75 6e 63 74 69 6f 6e 20 63 68 65 63 6b 73 0a 20 20 20 20 77 68 65 74 68 65 72 20 his.function.checks.....whether.
2260 61 6e 20 45 75 6c 65 72 69 61 6e 20 70 61 74 68 20 74 68 61 74 20 73 74 61 72 74 73 20 61 74 20 an.Eulerian.path.that.starts.at.
2280 6e 6f 64 65 20 60 73 6f 75 72 63 65 60 20 65 78 69 73 74 73 2e 0a 0a 20 20 20 20 41 20 64 69 72 node.`source`.exists.......A.dir
22a0 65 63 74 65 64 20 67 72 61 70 68 20 68 61 73 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 70 61 74 68 ected.graph.has.an.Eulerian.path
22c0 20 69 66 66 3a 0a 20 20 20 20 20 20 20 20 2d 20 61 74 20 6d 6f 73 74 20 6f 6e 65 20 76 65 72 74 .iff:.........-.at.most.one.vert
22e0 65 78 20 68 61 73 20 6f 75 74 5f 64 65 67 72 65 65 20 2d 20 69 6e 5f 64 65 67 72 65 65 20 3d 20 ex.has.out_degree.-.in_degree.=.
2300 31 2c 0a 20 20 20 20 20 20 20 20 2d 20 61 74 20 6d 6f 73 74 20 6f 6e 65 20 76 65 72 74 65 78 20 1,.........-.at.most.one.vertex.
2320 68 61 73 20 69 6e 5f 64 65 67 72 65 65 20 2d 20 6f 75 74 5f 64 65 67 72 65 65 20 3d 20 31 2c 0a has.in_degree.-.out_degree.=.1,.
2340 20 20 20 20 20 20 20 20 2d 20 65 76 65 72 79 20 6f 74 68 65 72 20 76 65 72 74 65 78 20 68 61 73 ........-.every.other.vertex.has
2360 20 65 71 75 61 6c 20 69 6e 5f 64 65 67 72 65 65 20 61 6e 64 20 6f 75 74 5f 64 65 67 72 65 65 2c .equal.in_degree.and.out_degree,
2380 0a 20 20 20 20 20 20 20 20 2d 20 61 6e 64 20 61 6c 6c 20 6f 66 20 69 74 73 20 76 65 72 74 69 63 .........-.and.all.of.its.vertic
23a0 65 73 20 62 65 6c 6f 6e 67 20 74 6f 20 61 20 73 69 6e 67 6c 65 20 63 6f 6e 6e 65 63 74 65 64 0a es.belong.to.a.single.connected.
23c0 20 20 20 20 20 20 20 20 20 20 63 6f 6d 70 6f 6e 65 6e 74 20 6f 66 20 74 68 65 20 75 6e 64 65 72 ..........component.of.the.under
23e0 6c 79 69 6e 67 20 75 6e 64 69 72 65 63 74 65 64 20 67 72 61 70 68 2e 0a 0a 20 20 20 20 49 66 20 lying.undirected.graph.......If.
2400 60 73 6f 75 72 63 65 60 20 69 73 20 6e 6f 74 20 4e 6f 6e 65 2c 20 61 6e 20 45 75 6c 65 72 69 61 `source`.is.not.None,.an.Euleria
2420 6e 20 70 61 74 68 20 73 74 61 72 74 69 6e 67 20 61 74 20 60 73 6f 75 72 63 65 60 20 65 78 69 73 n.path.starting.at.`source`.exis
2440 74 73 20 69 66 20 6e 6f 0a 20 20 20 20 6f 74 68 65 72 20 6e 6f 64 65 20 68 61 73 20 6f 75 74 5f ts.if.no.....other.node.has.out_
2460 64 65 67 72 65 65 20 2d 20 69 6e 5f 64 65 67 72 65 65 20 3d 20 31 2e 20 54 68 69 73 20 69 73 20 degree.-.in_degree.=.1..This.is.
2480 65 71 75 69 76 61 6c 65 6e 74 20 74 6f 20 65 69 74 68 65 72 0a 20 20 20 20 74 68 65 72 65 20 65 equivalent.to.either.....there.e
24a0 78 69 73 74 73 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 63 69 72 63 75 69 74 20 6f 72 20 60 73 6f xists.an.Eulerian.circuit.or.`so
24c0 75 72 63 65 60 20 68 61 73 20 6f 75 74 5f 64 65 67 72 65 65 20 2d 20 69 6e 5f 64 65 67 72 65 65 urce`.has.out_degree.-.in_degree
24e0 20 3d 20 31 0a 20 20 20 20 61 6e 64 20 74 68 65 20 63 6f 6e 64 69 74 69 6f 6e 73 20 61 62 6f 76 .=.1.....and.the.conditions.abov
2500 65 20 68 6f 6c 64 2e 0a 0a 20 20 20 20 41 6e 20 75 6e 64 69 72 65 63 74 65 64 20 67 72 61 70 68 e.hold.......An.undirected.graph
2520 20 68 61 73 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 70 61 74 68 20 69 66 66 3a 0a 20 20 20 20 20 .has.an.Eulerian.path.iff:......
2540 20 20 20 2d 20 65 78 61 63 74 6c 79 20 7a 65 72 6f 20 6f 72 20 74 77 6f 20 76 65 72 74 69 63 65 ...-.exactly.zero.or.two.vertice
2560 73 20 68 61 76 65 20 6f 64 64 20 64 65 67 72 65 65 2c 0a 20 20 20 20 20 20 20 20 2d 20 61 6e 64 s.have.odd.degree,.........-.and
2580 20 61 6c 6c 20 6f 66 20 69 74 73 20 76 65 72 74 69 63 65 73 20 62 65 6c 6f 6e 67 20 74 6f 20 61 .all.of.its.vertices.belong.to.a
25a0 20 73 69 6e 67 6c 65 20 63 6f 6e 6e 65 63 74 65 64 20 63 6f 6d 70 6f 6e 65 6e 74 2e 0a 0a 20 20 .single.connected.component.....
25c0 20 20 49 66 20 60 73 6f 75 72 63 65 60 20 69 73 20 6e 6f 74 20 4e 6f 6e 65 2c 20 61 6e 20 45 75 ..If.`source`.is.not.None,.an.Eu
25e0 6c 65 72 69 61 6e 20 70 61 74 68 20 73 74 61 72 74 69 6e 67 20 61 74 20 60 73 6f 75 72 63 65 60 lerian.path.starting.at.`source`
2600 20 65 78 69 73 74 73 20 69 66 0a 20 20 20 20 65 69 74 68 65 72 20 74 68 65 72 65 20 65 78 69 73 .exists.if.....either.there.exis
2620 74 73 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 63 69 72 63 75 69 74 20 6f 72 20 60 73 6f 75 72 63 ts.an.Eulerian.circuit.or.`sourc
2640 65 60 20 68 61 73 20 61 6e 20 6f 64 64 20 64 65 67 72 65 65 20 61 6e 64 20 74 68 65 0a 20 20 20 e`.has.an.odd.degree.and.the....
2660 20 63 6f 6e 64 69 74 69 6f 6e 73 20 61 62 6f 76 65 20 68 6f 6c 64 2e 0a 0a 20 20 20 20 47 72 61 .conditions.above.hold.......Gra
2680 70 68 73 20 77 69 74 68 20 69 73 6f 6c 61 74 65 64 20 76 65 72 74 69 63 65 73 20 28 69 2e 65 2e phs.with.isolated.vertices.(i.e.
26a0 20 76 65 72 74 69 63 65 73 20 77 69 74 68 20 7a 65 72 6f 20 64 65 67 72 65 65 29 20 61 72 65 20 .vertices.with.zero.degree).are.
26c0 6e 6f 74 20 63 6f 6e 73 69 64 65 72 65 64 0a 20 20 20 20 74 6f 20 68 61 76 65 20 61 6e 20 45 75 not.considered.....to.have.an.Eu
26e0 6c 65 72 69 61 6e 20 70 61 74 68 2e 20 54 68 65 72 65 66 6f 72 65 2c 20 69 66 20 74 68 65 20 67 lerian.path..Therefore,.if.the.g
2700 72 61 70 68 20 69 73 20 6e 6f 74 20 63 6f 6e 6e 65 63 74 65 64 20 28 6f 72 20 6e 6f 74 20 73 74 raph.is.not.connected.(or.not.st
2720 72 6f 6e 67 6c 79 0a 20 20 20 20 63 6f 6e 6e 65 63 74 65 64 2c 20 66 6f 72 20 64 69 72 65 63 74 rongly.....connected,.for.direct
2740 65 64 20 67 72 61 70 68 73 29 2c 20 74 68 69 73 20 66 75 6e 63 74 69 6f 6e 20 72 65 74 75 72 6e ed.graphs),.this.function.return
2760 73 20 46 61 6c 73 65 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d s.False.......Parameters.....---
2780 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 47 72 61 70 68 0a 20 -------.....G.:.NetworkX.Graph..
27a0 20 20 20 20 20 20 20 54 68 65 20 67 72 61 70 68 20 74 6f 20 66 69 6e 64 20 61 6e 20 65 75 6c 65 .......The.graph.to.find.an.eule
27c0 72 20 70 61 74 68 20 69 6e 2e 0a 0a 20 20 20 20 73 6f 75 72 63 65 20 3a 20 6e 6f 64 65 2c 20 6f r.path.in.......source.:.node,.o
27e0 70 74 69 6f 6e 61 6c 0a 20 20 20 20 20 20 20 20 53 74 61 72 74 69 6e 67 20 6e 6f 64 65 20 66 6f ptional.........Starting.node.fo
2800 72 20 70 61 74 68 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d r.path.......Returns.....-------
2820 0a 20 20 20 20 42 6f 6f 6c 20 3a 20 54 72 75 65 20 69 66 20 47 20 68 61 73 20 61 6e 20 45 75 6c .....Bool.:.True.if.G.has.an.Eul
2840 65 72 69 61 6e 20 70 61 74 68 2e 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 2d 2d erian.path.......Examples.....--
2860 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 49 66 20 79 6f 75 20 70 72 65 66 65 72 20 74 6f 20 61 6c 6c 6f ------.....If.you.prefer.to.allo
2880 77 20 67 72 61 70 68 73 20 77 69 74 68 20 69 73 6f 6c 61 74 65 64 20 76 65 72 74 69 63 65 73 20 w.graphs.with.isolated.vertices.
28a0 74 6f 20 68 61 76 65 20 45 75 6c 65 72 69 61 6e 20 70 61 74 68 2c 0a 20 20 20 20 79 6f 75 20 63 to.have.Eulerian.path,.....you.c
28c0 61 6e 20 66 69 72 73 74 20 72 65 6d 6f 76 65 20 73 75 63 68 20 76 65 72 74 69 63 65 73 20 61 6e an.first.remove.such.vertices.an
28e0 64 20 74 68 65 6e 20 63 61 6c 6c 20 60 68 61 73 5f 65 75 6c 65 72 69 61 6e 5f 70 61 74 68 60 20 d.then.call.`has_eulerian_path`.
2900 61 73 20 62 65 6c 6f 77 20 65 78 61 6d 70 6c 65 20 73 68 6f 77 73 2e 0a 0a 20 20 20 20 3e 3e 3e as.below.example.shows.......>>>
2920 20 47 20 3d 20 6e 78 2e 47 72 61 70 68 28 5b 28 30 2c 20 31 29 2c 20 28 31 2c 20 32 29 2c 20 28 .G.=.nx.Graph([(0,.1),.(1,.2),.(
2940 30 2c 20 32 29 5d 29 0a 20 20 20 20 3e 3e 3e 20 47 2e 61 64 64 5f 6e 6f 64 65 28 33 29 0a 20 20 0,.2)]).....>>>.G.add_node(3)...
2960 20 20 3e 3e 3e 20 6e 78 2e 68 61 73 5f 65 75 6c 65 72 69 61 6e 5f 70 61 74 68 28 47 29 0a 20 20 ..>>>.nx.has_eulerian_path(G)...
2980 20 20 46 61 6c 73 65 0a 0a 20 20 20 20 3e 3e 3e 20 47 2e 72 65 6d 6f 76 65 5f 6e 6f 64 65 73 5f ..False......>>>.G.remove_nodes_
29a0 66 72 6f 6d 28 6c 69 73 74 28 6e 78 2e 69 73 6f 6c 61 74 65 73 28 47 29 29 29 0a 20 20 20 20 3e from(list(nx.isolates(G))).....>
29c0 3e 3e 20 6e 78 2e 68 61 73 5f 65 75 6c 65 72 69 61 6e 5f 70 61 74 68 28 47 29 0a 20 20 20 20 54 >>.nx.has_eulerian_path(G).....T
29e0 72 75 65 0a 0a 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 rue......See.Also.....--------..
2a00 20 20 20 69 73 5f 65 75 6c 65 72 69 61 6e 0a 20 20 20 20 65 75 6c 65 72 69 61 6e 5f 70 61 74 68 ...is_eulerian.....eulerian_path
2a20 0a 20 20 20 20 54 e9 01 00 00 00 46 72 02 00 00 00 72 04 00 00 00 63 01 00 00 00 00 00 00 00 00 .....T.....Fr....r....c.........
2a40 00 00 00 03 00 00 00 33 00 00 00 f3 32 00 00 00 4b 00 01 00 97 00 7c 00 5d 0f 00 00 5c 02 00 00 .......3....2...K.....|.]...\...
2a60 7d 01 7d 02 7c 02 64 00 7a 06 00 00 64 01 6b 28 00 00 96 01 97 01 01 00 8c 11 04 00 79 02 ad 03 }.}.|.d.z...d.k(............y...
2a80 77 01 29 03 72 04 00 00 00 72 4c 00 00 00 4e 72 19 00 00 00 72 1a 00 00 00 73 03 00 00 00 20 20 w.).r....rL...Nr....r....s......
2aa0 20 72 16 00 00 00 72 17 00 00 00 7a 24 68 61 73 5f 65 75 6c 65 72 69 61 6e 5f 70 61 74 68 2e 3c .r....r....z$has_eulerian_path.<
2ac0 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e 4b 01 00 00 73 1c 00 00 00 e8 00 f8 80 00 d2 locals>.<genexpr>K...s..........
2ae0 12 35 a1 24 a0 21 a0 51 90 31 90 71 91 35 98 41 95 3a d1 12 35 f9 72 1d 00 00 00 29 09 72 20 00 .5.$.!.Q.1.q.5.A.:..5.r....).r..
2b00 00 00 72 07 00 00 00 72 1e 00 00 00 72 11 00 00 00 72 12 00 00 00 da 13 69 73 5f 77 65 61 6b 6c ..r....r....r....r......is_weakl
2b20 79 5f 63 6f 6e 6e 65 63 74 65 64 72 22 00 00 00 da 03 73 75 6d 72 23 00 00 00 29 07 72 15 00 00 y_connectedr".....sumr#...).r...
2b40 00 72 35 00 00 00 da 03 69 6e 73 da 04 6f 75 74 73 da 0e 75 6e 62 61 6c 61 6e 63 65 64 5f 69 6e .r5.....ins..outs..unbalanced_in
2b60 73 da 0f 75 6e 62 61 6c 61 6e 63 65 64 5f 6f 75 74 73 72 1b 00 00 00 73 07 00 00 00 20 20 20 20 s..unbalanced_outsr....s........
2b80 20 20 20 72 16 00 00 00 72 0b 00 00 00 72 0b 00 00 00 ef 00 00 00 73 2c 01 00 00 80 00 f4 7e 01 ...r....r....r........s,......~.
2ba0 00 08 0a 87 7e 81 7e 90 61 d4 07 18 d8 0f 13 e0 07 08 87 7d 81 7d 84 7f d8 0e 0f 8f 6b 89 6b 88 ....~.~.a..........}.}......k.k.
2bc0 03 d8 0f 10 8f 7c 89 7c 88 04 e0 0b 11 d0 0b 1d a0 24 a0 76 a1 2c b0 13 b0 56 b1 1b d1 22 3c c0 .....|.|.........$.v.,...V..."<.
2be0 01 d2 22 41 d8 13 18 e0 19 1a 88 0e d8 1a 1b 88 0f d8 11 12 f2 00 06 09 1d 88 41 d8 0f 12 90 31 .."A......................A....1
2c00 89 76 98 04 98 51 99 07 d1 0f 1f a0 31 d2 0f 24 d8 10 1e a0 21 d1 10 23 91 0e d8 11 15 90 61 91 .v...Q......1..$....!..#......a.
2c20 17 98 33 98 71 99 36 d1 11 21 a0 51 d2 11 26 d8 10 1f a0 31 d1 10 24 91 0f d8 11 14 90 51 91 16 ..3.q.6..!.Q..&....1..$......Q..
2c40 98 34 a0 01 99 37 d3 11 22 d9 17 1c f0 0d 06 09 1d f0 12 00 0d 1b 98 61 d1 0c 1f d2 0c 56 a0 4f .4...7.."..............a.....V.O
2c60 b0 71 d1 24 38 d2 0c 56 bc 52 d7 3d 53 d1 3d 53 d0 54 55 d3 3d 56 f0 03 02 09 0a f0 0a 00 0c 12 .q.$8..V.R.=S.=S.TU.=V..........
2c80 d0 0b 1d a0 21 a7 28 a1 28 a8 36 d1 22 32 b0 51 d1 22 36 b8 21 d2 22 3b d8 13 18 f4 06 00 10 13 ....!.(.(.6."2.Q."6.!.";........
2ca0 d1 12 35 a8 21 af 28 a9 28 ab 2a d4 12 35 d3 0f 35 b8 11 d1 0f 3a d2 0f 51 bc 72 bf 7f b9 7f c8 ..5.!.(.(.*..5..5....:..Q.r.....
2cc0 71 d3 3f 51 d0 08 51 72 25 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 0a 00 00 00 23 00 00 q.?Q..Qr%...c................#..
2ce0 00 f3 40 03 00 00 4b 00 01 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 00 7c 01 ab 02 00 00 00 00 ..@...K.....t.........|.|.......
2d00 00 00 73 15 74 03 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ..s.t.........j.................
2d20 00 00 64 01 ab 01 00 00 00 00 00 00 82 01 7c 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ..d...........|.j...............
2d40 00 00 00 00 ab 00 00 00 00 00 00 00 72 7f 7c 00 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ............r.|.j...............
2d60 00 00 00 00 ab 00 00 00 00 00 00 00 7d 00 7c 01 81 17 74 03 00 00 00 00 00 00 00 00 6a 0a 00 00 ............}.|...t.........j...
2d80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 64 03 75 00 72 0b ................|.........d.u.r.
2da0 74 0d 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 7d 01 7c 00 6a 0f 00 00 00 00 00 00 t.........|.........}.|.j.......
2dc0 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 26 74 11 00 00 00 00 00 00 00 00 ....................r&t.........
2de0 7c 00 7c 01 ab 02 00 00 00 00 00 00 44 00 5d 16 00 00 5c 03 00 00 7d 03 7d 04 7d 05 7c 02 72 08 |.|.........D.]...\...}.}.}.|.r.
2e00 7c 03 7c 04 7c 05 66 03 96 01 97 01 01 00 8c 11 7c 03 7c 04 66 02 96 01 97 01 01 00 8c 18 04 00 |.|.|.f.........|.|.f...........
2e20 79 02 74 13 00 00 00 00 00 00 00 00 7c 00 7c 01 ab 02 00 00 00 00 00 00 45 00 64 02 7b 03 00 00 y.t.........|.|.........E.d.{...
2e40 96 02 97 02 86 05 05 00 01 00 79 02 7c 00 6a 15 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ..........y.|.j.................
2e60 00 00 ab 00 00 00 00 00 00 00 7d 00 7c 01 80 0b 74 0d 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 ..........}.|...t.........|.....
2e80 00 00 00 00 7d 01 7c 00 6a 0f 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 ....}.|.j.......................
2ea0 00 00 00 00 72 6f 7c 02 72 37 74 17 00 00 00 00 00 00 00 00 74 11 00 00 00 00 00 00 00 00 7c 00 ....ro|.r7t.........t.........|.
2ec0 7c 01 ab 02 00 00 00 00 00 00 44 00 8f 03 8f 04 8f 05 63 04 67 00 63 02 5d 0b 00 00 5c 03 00 00 |.........D.......c.g.c.]...\...
2ee0 7d 03 7d 04 7d 05 7c 04 7c 03 7c 05 66 03 91 02 8c 0d 04 00 63 04 7d 05 7d 04 7d 03 ab 01 00 00 }.}.}.|.|.|.f.......c.}.}.}.....
2f00 00 00 00 00 45 00 64 02 7b 03 00 00 96 02 97 02 86 05 05 00 01 00 79 02 74 17 00 00 00 00 00 00 ....E.d.{.............y.t.......
2f20 00 00 74 11 00 00 00 00 00 00 00 00 7c 00 7c 01 ab 02 00 00 00 00 00 00 44 00 8f 03 8f 04 8f 05 ..t.........|.|.........D.......
2f40 63 04 67 00 63 02 5d 0a 00 00 5c 03 00 00 7d 03 7d 04 7d 05 7c 04 7c 03 66 02 91 02 8c 0c 04 00 c.g.c.]...\...}.}.}.|.|.f.......
2f60 63 04 7d 05 7d 04 7d 03 ab 01 00 00 00 00 00 00 45 00 64 02 7b 03 00 00 96 02 97 02 86 05 05 00 c.}.}.}.........E.d.{...........
2f80 01 00 79 02 74 17 00 00 00 00 00 00 00 00 74 13 00 00 00 00 00 00 00 00 7c 00 7c 01 ab 02 00 00 ..y.t.........t.........|.|.....
2fa0 00 00 00 00 44 00 8f 03 8f 04 63 03 67 00 63 02 5d 09 00 00 5c 02 00 00 7d 03 7d 04 7c 04 7c 03 ....D.....c.g.c.]...\...}.}.|.|.
2fc0 66 02 91 02 8c 0b 04 00 63 03 7d 04 7d 03 ab 01 00 00 00 00 00 00 45 00 64 02 7b 03 00 00 96 02 f.......c.}.}.........E.d.{.....
2fe0 97 02 86 05 05 00 01 00 79 02 37 00 8c d4 63 02 01 00 63 04 7d 05 7d 04 7d 03 77 00 37 00 8c 77 ........y.7...c...c.}.}.}.w.7..w
3000 63 02 01 00 63 04 7d 05 7d 04 7d 03 77 00 37 00 8c 4a 63 02 01 00 63 03 7d 04 7d 03 77 00 37 00 c...c.}.}.}.w.7..Jc...c.}.}.w.7.
3020 8c 1f ad 03 77 01 29 04 61 87 02 00 00 52 65 74 75 72 6e 20 61 6e 20 69 74 65 72 61 74 6f 72 20 ....w.).a....Return.an.iterator.
3040 6f 76 65 72 20 74 68 65 20 65 64 67 65 73 20 6f 66 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 70 61 over.the.edges.of.an.Eulerian.pa
3060 74 68 20 69 6e 20 60 47 60 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d th.in.`G`.......Parameters.....-
3080 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 47 72 61 70 68 ---------.....G.:.NetworkX.Graph
30a0 0a 20 20 20 20 20 20 20 20 54 68 65 20 67 72 61 70 68 20 69 6e 20 77 68 69 63 68 20 74 6f 20 6c .........The.graph.in.which.to.l
30c0 6f 6f 6b 20 66 6f 72 20 61 6e 20 65 75 6c 65 72 69 61 6e 20 70 61 74 68 2e 0a 20 20 20 20 73 6f ook.for.an.eulerian.path......so
30e0 75 72 63 65 20 3a 20 6e 6f 64 65 20 6f 72 20 4e 6f 6e 65 20 28 64 65 66 61 75 6c 74 3a 20 4e 6f urce.:.node.or.None.(default:.No
3100 6e 65 29 0a 20 20 20 20 20 20 20 20 54 68 65 20 6e 6f 64 65 20 61 74 20 77 68 69 63 68 20 74 6f ne).........The.node.at.which.to
3120 20 73 74 61 72 74 20 74 68 65 20 73 65 61 72 63 68 2e 20 4e 6f 6e 65 20 6d 65 61 6e 73 20 73 65 .start.the.search..None.means.se
3140 61 72 63 68 20 6f 76 65 72 20 61 6c 6c 0a 20 20 20 20 20 20 20 20 73 74 61 72 74 69 6e 67 20 6e arch.over.all.........starting.n
3160 6f 64 65 73 2e 0a 20 20 20 20 6b 65 79 73 20 3a 20 42 6f 6f 6c 20 28 64 65 66 61 75 6c 74 3a 20 odes......keys.:.Bool.(default:.
3180 46 61 6c 73 65 29 0a 20 20 20 20 20 20 20 20 49 6e 64 69 63 61 74 65 73 20 77 68 65 74 68 65 72 False).........Indicates.whether
31a0 20 74 6f 20 79 69 65 6c 64 20 65 64 67 65 20 33 2d 74 75 70 6c 65 73 20 28 75 2c 20 76 2c 20 65 .to.yield.edge.3-tuples.(u,.v,.e
31c0 64 67 65 5f 6b 65 79 29 2e 0a 20 20 20 20 20 20 20 20 54 68 65 20 64 65 66 61 75 6c 74 20 79 69 dge_key)..........The.default.yi
31e0 65 6c 64 73 20 65 64 67 65 20 32 2d 74 75 70 6c 65 73 0a 0a 20 20 20 20 59 69 65 6c 64 73 0a 20 elds.edge.2-tuples......Yields..
3200 20 20 20 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 45 64 67 65 20 74 75 70 6c 65 73 20 61 6c 6f 6e 67 20 ...------.....Edge.tuples.along.
3220 74 68 65 20 65 75 6c 65 72 69 61 6e 20 70 61 74 68 2e 0a 0a 20 20 20 20 57 61 72 6e 69 6e 67 3a the.eulerian.path.......Warning:
3240 20 49 66 20 60 73 6f 75 72 63 65 60 20 70 72 6f 76 69 64 65 64 20 69 73 20 6e 6f 74 20 74 68 65 .If.`source`.provided.is.not.the
3260 20 73 74 61 72 74 20 6e 6f 64 65 20 6f 66 20 61 6e 20 45 75 6c 65 72 20 70 61 74 68 0a 20 20 20 .start.node.of.an.Euler.path....
3280 20 77 69 6c 6c 20 72 61 69 73 65 20 65 72 72 6f 72 20 65 76 65 6e 20 69 66 20 61 6e 20 45 75 6c .will.raise.error.even.if.an.Eul
32a0 65 72 20 50 61 74 68 20 65 78 69 73 74 73 2e 0a 20 20 20 20 7a 1c 47 72 61 70 68 20 68 61 73 20 er.Path.exists......z.Graph.has.
32c0 6e 6f 20 45 75 6c 65 72 69 61 6e 20 70 61 74 68 73 2e 4e 46 29 0c 72 0b 00 00 00 72 20 00 00 00 no.Eulerian.paths.NF).r....r....
32e0 72 44 00 00 00 72 1e 00 00 00 72 45 00 00 00 72 07 00 00 00 72 2c 00 00 00 72 47 00 00 00 72 42 rD...r....rE...r....r,...rG...rB
3300 00 00 00 72 3b 00 00 00 72 46 00 00 00 da 08 72 65 76 65 72 73 65 64 72 48 00 00 00 73 06 00 00 ...r;...rF.....reversedrH...s...
3320 00 20 20 20 20 20 20 72 16 00 00 00 72 0c 00 00 00 72 0c 00 00 00 4e 01 00 00 73 91 01 00 00 e8 .......r....r....r....N...s.....
3340 00 f8 80 00 f4 2c 00 0c 1d 98 51 a0 06 d4 0b 27 dc 0e 10 d7 0e 1e d1 0e 1e d0 1f 3d d3 0e 3e d0 .....,....Q....'...........=..>.
3360 08 3e d8 07 08 87 7d 81 7d 84 7f d8 0c 0d 8f 49 89 49 8b 4b 88 01 d8 0b 11 88 3e 9c 52 9f 5e 99 .>....}.}......I.I.K......>.R.^.
3380 5e a8 41 d3 1d 2e b0 25 d1 1d 37 dc 15 25 a0 61 d3 15 28 88 46 d8 0b 0c 8f 3f 89 3f d4 0b 1c dc ^.A....%..7..%.a..(.F....?.?....
33a0 1b 37 b8 01 b8 36 d3 1b 42 f2 00 04 0d 1f 91 07 90 01 90 31 90 61 d9 13 17 d8 1a 1b 98 51 a0 01 .7...6..B..........1.a.......Q..
33c0 98 27 93 4d e0 1a 1b 98 51 98 24 93 4a f1 09 04 0d 1f f4 0c 00 18 35 b0 51 b8 06 d3 17 3f d7 0c .'.M....Q.$.J.........5.Q....?..
33e0 3f d1 0c 3f e0 0c 0d 8f 46 89 46 8b 48 88 01 d8 0b 11 88 3e dc 15 25 a0 61 d3 15 28 88 46 d8 0b ?..?....F.F.H......>..%.a..(.F..
3400 0c 8f 3f 89 3f d4 0b 1c d9 0f 13 dc 1b 23 dc 2e 4a c8 31 c8 66 d3 2e 55 d7 14 56 d0 14 56 a1 37 ..?.?........#..J.1.f..U..V..V.7
3420 a0 31 a0 61 a8 11 90 61 98 11 98 41 92 59 d4 14 56 f3 03 02 1c 12 f7 00 02 11 12 f1 00 02 11 12 .1.a...a...A.Y..V...............
3440 f4 08 00 1c 24 dc 2b 47 c8 01 c8 36 d3 2b 52 d7 14 53 d0 14 53 a1 07 a0 01 a0 31 a0 61 90 61 98 ....$.+G...6.+R..S..S.....1.a.a.
3460 11 92 56 d4 14 53 f3 03 02 1c 12 f7 00 02 11 12 f1 00 02 11 12 f4 08 00 18 20 dc 24 41 c0 21 c0 ..V..S.....................$A.!.
3480 56 d3 24 4c d7 10 4d 99 44 98 41 98 71 90 21 90 51 92 16 d3 10 4d f3 03 02 18 0e f7 00 02 0d 0e V.$L..M.D.A.q.!.Q....M..........
34a0 f1 00 02 0d 0e f0 1f 00 0d 40 01 fa f4 10 00 15 57 01 f0 03 02 11 12 fa f4 0a 00 15 54 01 f0 03 .........@......W...........T...
34c0 02 11 12 fa f3 0a 00 11 4e 01 f0 03 02 0d 0e fa 73 6d 00 00 00 82 42 2b 46 1e 01 c2 2d 01 46 02 ........N.......sm....B+F...-.F.
34e0 04 c2 2e 41 09 46 1e 01 c3 37 10 46 04 0c c4 07 0c 46 1e 01 c4 13 01 46 0b 04 c4 14 1a 46 1e 01 ...A.F...7.F.....F.....F.....F..
3500 c4 2e 0f 46 0d 0c c4 3d 0c 46 1e 01 c5 09 01 46 14 04 c5 0a 19 46 1e 01 c5 23 0e 46 16 0a c5 31 ...F...=.F.....F.....F...#.F...1
3520 0b 46 1e 01 c5 3c 01 46 1c 04 c5 3d 06 46 1e 01 c6 04 08 46 1e 01 c6 0d 08 46 1e 01 c6 16 07 46 .F...<.F...=.F.....F.....F.....F
3540 1e 01 da 08 64 69 72 65 63 74 65 64 54 29 01 da 0d 72 65 74 75 72 6e 73 5f 67 72 61 70 68 63 01 ....directedT)...returns_graphc.
3560 00 00 00 00 00 00 00 00 00 00 00 0b 00 00 00 03 00 00 00 f3 ac 03 00 00 97 00 7c 00 6a 01 00 00 ..........................|.j...
3580 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 64 01 6b 28 00 00 72 15 ........................d.k(..r.
35a0 74 03 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 02 t.........j...................d.
35c0 ab 01 00 00 00 00 00 00 82 01 74 03 00 00 00 00 00 00 00 00 6a 06 00 00 00 00 00 00 00 00 00 00 ..........t.........j...........
35e0 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 73 15 74 03 00 00 00 00 00 00 00 00 6a 08 ........|.........s.t.........j.
3600 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 03 ab 01 00 00 00 00 00 00 82 01 7c 00 ..................d...........|.
3620 6a 0b 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 44 00 8f 01 j...........................D...
3640 8f 02 63 03 67 00 63 02 5d 10 00 00 5c 02 00 00 7d 01 7d 02 7c 02 64 04 7a 06 00 00 64 05 6b 28 ..c.g.c.]...\...}.}.|.d.z...d.k(
3660 00 00 73 01 8c 0f 7c 01 91 02 8c 12 04 00 7d 03 7d 01 7d 02 74 03 00 00 00 00 00 00 00 00 6a 0c ..s...|.......}.}.}.t.........j.
3680 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 7d 00 74 0f ..................|.........}.t.
36a0 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 64 01 6b 28 00 00 72 02 7c 00 53 00 74 11 ........|.........d.k(..r.|.S.t.
36c0 00 00 00 00 00 00 00 00 7c 03 64 04 ab 02 00 00 00 00 00 00 44 00 8f 04 8f 01 63 03 67 00 63 02 ........|.d.........D.....c.g.c.
36e0 5d 21 00 00 5c 02 00 00 7d 04 7d 01 7c 04 7c 01 74 03 00 00 00 00 00 00 00 00 6a 12 00 00 00 00 ]!..\...}.}.|.|.t.........j.....
3700 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 04 7c 01 ac 06 ab 03 00 00 00 00 00 00 69 01 ..............|.|.|...........i.
3720 66 02 91 02 8c 23 04 00 7d 05 7d 04 7d 01 74 0f 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 f....#..}.}.}.t.........|.......
3740 00 00 64 05 7a 00 00 00 7d 06 74 03 00 00 00 00 00 00 00 00 6a 14 00 00 00 00 00 00 00 00 00 00 ..d.z...}.t.........j...........
3760 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 7d 07 7c 05 44 00 5d 44 00 00 5c 02 00 00 7d 01 ................}.|.D.]D..\...}.
3780 7d 08 7c 08 6a 17 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 }.|.j...........................
37a0 44 00 5d 2c 00 00 5c 02 00 00 7d 04 7d 09 7c 01 7c 04 6b 37 00 00 73 01 8c 0c 7c 07 6a 19 00 00 D.],..\...}.}.|.|.k7..s...|.j...
37c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 04 7c 01 7c 06 74 0f 00 00 00 00 00 00 00 00 ................|.|.|.t.........
37e0 7c 09 ab 01 00 00 00 00 00 00 7a 0a 00 00 7c 09 ac 07 ab 04 00 00 00 00 00 00 01 00 8c 2e 04 00 |.........z...|.................
3800 8c 46 04 00 74 03 00 00 00 00 00 00 00 00 6a 14 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .F..t.........j.................
3820 00 00 74 1b 00 00 00 00 00 00 00 00 74 03 00 00 00 00 00 00 00 00 6a 1c 00 00 00 00 00 00 00 00 ..t.........t.........j.........
3840 00 00 00 00 00 00 00 00 00 00 7c 07 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 ab 01 00 00 ..........|.....................
3860 00 00 00 00 7d 0a 7c 0a 6a 1f 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 ....}.|.j.......................
3880 00 00 00 00 44 00 5d 3e 00 00 5c 02 00 00 7d 04 7d 01 7c 07 7c 04 19 00 00 00 7c 01 19 00 00 00 ....D.]>..\...}.}.|.|.....|.....
38a0 64 08 19 00 00 00 7d 0b 7c 00 6a 21 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 02 d.....}.|.j!..................t.
38c0 00 00 00 00 00 00 00 00 6a 22 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 25 00 00 ........j"..................j%..
38e0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 0b ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 ................|...............
3900 00 00 01 00 8c 40 04 00 7c 00 53 00 63 02 01 00 63 03 7d 02 7d 01 77 00 63 02 01 00 63 03 7d 01 .....@..|.S.c...c.}.}.w.c...c.}.
3920 7d 04 77 00 29 09 61 bc 03 00 00 54 72 61 6e 73 66 6f 72 6d 73 20 61 20 67 72 61 70 68 20 69 6e }.w.).a....Transforms.a.graph.in
3940 74 6f 20 61 6e 20 45 75 6c 65 72 69 61 6e 20 67 72 61 70 68 2e 0a 0a 20 20 20 20 49 66 20 60 47 to.an.Eulerian.graph.......If.`G
3960 60 20 69 73 20 45 75 6c 65 72 69 61 6e 20 74 68 65 20 72 65 73 75 6c 74 20 69 73 20 60 47 60 20 `.is.Eulerian.the.result.is.`G`.
3980 61 73 20 61 20 4d 75 6c 74 69 47 72 61 70 68 2c 20 6f 74 68 65 72 77 69 73 65 20 74 68 65 20 72 as.a.MultiGraph,.otherwise.the.r
39a0 65 73 75 6c 74 20 69 73 20 61 20 73 6d 61 6c 6c 65 73 74 0a 20 20 20 20 28 69 6e 20 74 65 72 6d esult.is.a.smallest.....(in.term
39c0 73 20 6f 66 20 74 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 65 64 67 65 73 29 20 6d 75 6c 74 69 67 s.of.the.number.of.edges).multig
39e0 72 61 70 68 20 77 68 6f 73 65 20 75 6e 64 65 72 6c 79 69 6e 67 20 73 69 6d 70 6c 65 20 67 72 61 raph.whose.underlying.simple.gra
3a00 70 68 20 69 73 20 60 47 60 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d ph.is.`G`.......Parameters.....-
3a20 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 ---------.....G.:.NetworkX.graph
3a40 0a 20 20 20 20 20 20 20 41 6e 20 75 6e 64 69 72 65 63 74 65 64 20 67 72 61 70 68 0a 0a 20 20 20 ........An.undirected.graph.....
3a60 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 4e 65 74 .Returns.....-------.....G.:.Net
3a80 77 6f 72 6b 58 20 6d 75 6c 74 69 67 72 61 70 68 0a 0a 20 20 20 20 52 61 69 73 65 73 0a 20 20 20 workX.multigraph......Raises....
3aa0 20 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 4e 65 74 77 6f 72 6b 58 45 72 72 6f 72 0a 20 20 20 20 20 20 .------.....NetworkXError.......
3ac0 20 49 66 20 74 68 65 20 67 72 61 70 68 20 69 73 20 6e 6f 74 20 63 6f 6e 6e 65 63 74 65 64 2e 0a .If.the.graph.is.not.connected..
3ae0 0a 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 69 .....See.Also.....--------.....i
3b00 73 5f 65 75 6c 65 72 69 61 6e 0a 20 20 20 20 65 75 6c 65 72 69 61 6e 5f 63 69 72 63 75 69 74 0a s_eulerian.....eulerian_circuit.
3b20 0a 20 20 20 20 52 65 66 65 72 65 6e 63 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 .....References.....----------..
3b40 20 20 20 2e 2e 20 5b 31 5d 20 4a 2e 20 45 64 6d 6f 6e 64 73 2c 20 45 2e 20 4c 2e 20 4a 6f 68 6e ......[1].J..Edmonds,.E..L..John
3b60 73 6f 6e 2e 0a 20 20 20 20 20 20 20 4d 61 74 63 68 69 6e 67 2c 20 45 75 6c 65 72 20 74 6f 75 72 son.........Matching,.Euler.tour
3b80 73 20 61 6e 64 20 74 68 65 20 43 68 69 6e 65 73 65 20 70 6f 73 74 6d 61 6e 2e 0a 20 20 20 20 20 s.and.the.Chinese.postman.......
3ba0 20 20 4d 61 74 68 65 6d 61 74 69 63 61 6c 20 70 72 6f 67 72 61 6d 6d 69 6e 67 2c 20 56 6f 6c 75 ..Mathematical.programming,.Volu
3bc0 6d 65 20 35 2c 20 49 73 73 75 65 20 31 20 28 31 39 37 33 29 2c 20 31 31 31 2d 31 31 34 2e 0a 20 me.5,.Issue.1.(1973),.111-114...
3be0 20 20 20 2e 2e 20 5b 32 5d 20 68 74 74 70 73 3a 2f 2f 65 6e 2e 77 69 6b 69 70 65 64 69 61 2e 6f ......[2].https://en.wikipedia.o
3c00 72 67 2f 77 69 6b 69 2f 45 75 6c 65 72 69 61 6e 5f 70 61 74 68 0a 20 20 20 20 2e 2e 20 5b 33 5d rg/wiki/Eulerian_path........[3]
3c20 20 68 74 74 70 3a 2f 2f 77 65 62 2e 6d 61 74 68 2e 70 72 69 6e 63 65 74 6f 6e 2e 65 64 75 2f 6d .http://web.math.princeton.edu/m
3c40 61 74 68 5f 61 6c 69 76 65 2f 35 2f 4e 6f 74 65 73 31 2e 70 64 66 0a 0a 20 20 20 20 45 78 61 6d ath_alive/5/Notes1.pdf......Exam
3c60 70 6c 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 47 20 ples.....--------.........>>>.G.
3c80 3d 20 6e 78 2e 63 6f 6d 70 6c 65 74 65 5f 67 72 61 70 68 28 31 30 29 0a 20 20 20 20 20 20 20 20 =.nx.complete_graph(10).........
3ca0 3e 3e 3e 20 48 20 3d 20 6e 78 2e 65 75 6c 65 72 69 7a 65 28 47 29 0a 20 20 20 20 20 20 20 20 3e >>>.H.=.nx.eulerize(G).........>
3cc0 3e 3e 20 6e 78 2e 69 73 5f 65 75 6c 65 72 69 61 6e 28 48 29 0a 20 20 20 20 20 20 20 20 54 72 75 >>.nx.is_eulerian(H).........Tru
3ce0 65 0a 0a 20 20 20 20 72 02 00 00 00 7a 1a 43 61 6e 6e 6f 74 20 45 75 6c 65 72 69 7a 65 20 6e 75 e......r....z.Cannot.Eulerize.nu
3d00 6c 6c 20 67 72 61 70 68 7a 12 47 20 69 73 20 6e 6f 74 20 63 6f 6e 6e 65 63 74 65 64 72 04 00 00 ll.graphz.G.is.not.connectedr...
3d20 00 72 4c 00 00 00 29 02 72 35 00 00 00 da 06 74 61 72 67 65 74 29 02 da 06 77 65 69 67 68 74 da .rL...).r5.....target)...weight.
3d40 04 70 61 74 68 72 5b 00 00 00 29 13 da 05 6f 72 64 65 72 72 20 00 00 00 da 18 4e 65 74 77 6f 72 .pathr[...)...orderr......Networ
3d60 6b 58 50 6f 69 6e 74 6c 65 73 73 43 6f 6e 63 65 70 74 72 23 00 00 00 72 44 00 00 00 72 22 00 00 kXPointlessConceptr#...rD...r"..
3d80 00 da 0a 4d 75 6c 74 69 47 72 61 70 68 da 03 6c 65 6e 72 03 00 00 00 da 0d 73 68 6f 72 74 65 73 ...MultiGraph..lenr......shortes
3da0 74 5f 70 61 74 68 da 05 47 72 61 70 68 da 05 69 74 65 6d 73 da 08 61 64 64 5f 65 64 67 65 da 04 t_path..Graph..items..add_edge..
3dc0 6c 69 73 74 da 13 6d 61 78 5f 77 65 69 67 68 74 5f 6d 61 74 63 68 69 6e 67 72 31 00 00 00 da 0e list..max_weight_matchingr1.....
3de0 61 64 64 5f 65 64 67 65 73 5f 66 72 6f 6d da 05 75 74 69 6c 73 da 08 70 61 69 72 77 69 73 65 29 add_edges_from..utils..pairwise)
3e00 0c 72 15 00 00 00 72 14 00 00 00 72 1c 00 00 00 da 10 6f 64 64 5f 64 65 67 72 65 65 5f 6e 6f 64 .r....r....r......odd_degree_nod
3e20 65 73 da 01 6d da 13 6f 64 64 5f 64 65 67 5f 70 61 69 72 73 5f 70 61 74 68 73 da 1e 75 70 70 65 es..m..odd_deg_pairs_paths..uppe
3e40 72 5f 62 6f 75 6e 64 5f 6f 6e 5f 6d 61 78 5f 70 61 74 68 5f 6c 65 6e 67 74 68 da 02 47 70 da 02 r_bound_on_max_path_length..Gp..
3e60 50 73 da 01 50 da 0d 62 65 73 74 5f 6d 61 74 63 68 69 6e 67 72 5b 00 00 00 73 0c 00 00 00 20 20 Ps..P..best_matchingr[...s......
3e80 20 20 20 20 20 20 20 20 20 20 72 16 00 00 00 72 09 00 00 00 72 09 00 00 00 85 01 00 00 73 c4 01 ..........r....r....r........s..
3ea0 00 00 80 00 f0 56 01 00 08 09 87 77 81 77 83 79 90 41 82 7e dc 0e 10 d7 0e 29 d1 0e 29 d0 2a 46 .....V.....w.w.y.A.~.....)..).*F
3ec0 d3 0e 47 d0 08 47 dc 0b 0d 8f 3f 89 3f 98 31 d4 0b 1d dc 0e 10 d7 0e 1e d1 0e 1e d0 1f 33 d3 0e ..G..G....?.?.1..............3..
3ee0 34 d0 08 34 d8 26 27 a7 68 a1 68 a3 6a d7 17 3f 99 64 98 61 a0 11 b0 41 b8 01 b1 45 b8 51 b3 4a 4..4.&'.h.h.j..?.d.a...A...E.Q.J
3f00 9a 01 d0 17 3f d0 04 14 d1 17 3f dc 08 0a 8f 0d 89 0d 90 61 d3 08 18 80 41 dc 07 0a d0 0b 1b d3 ....?.....?........a....A.......
3f20 07 1c a0 01 d2 07 21 d8 0f 10 88 08 f4 0a 00 15 21 d0 21 31 b0 31 d3 14 35 f7 05 03 1b 06 e1 0c ......!.........!.!1.1..5.......
3f40 10 88 41 88 71 f0 03 00 0a 0b 88 51 94 02 d7 10 20 d1 10 20 a0 11 a8 31 b0 51 d4 10 37 d0 0c 38 ..A.q......Q...........1.Q..7..8
3f60 d2 08 39 f0 03 03 1b 06 d0 04 17 f1 00 03 1b 06 f4 0e 00 26 29 a8 11 a3 56 a8 61 a1 5a d0 04 22 ..9................&)...V.a.Z.."
3f80 f4 0c 00 0a 0c 8f 18 89 18 8b 1a 80 42 d8 11 24 f2 00 05 05 12 89 05 88 01 88 32 d8 14 16 97 48 ............B..$..........2....H
3fa0 91 48 93 4a f2 00 04 09 12 89 44 88 41 88 71 d8 0f 10 90 41 8b 76 d8 10 12 97 0b 91 0b d8 14 15 .H.J......D.A.q....A.v..........
3fc0 90 71 d0 21 3f c4 23 c0 61 c3 26 d1 21 48 c8 71 f0 03 00 11 1c f5 00 02 11 12 f1 05 04 09 12 f0 .q.!?.#.a.&.!H.q................
3fe0 03 05 05 12 f4 10 00 15 17 97 48 91 48 9c 54 a4 22 d7 22 38 d1 22 38 b8 12 d3 22 3c d3 1d 3d d3 ..........H.H.T."."8."8..."<..=.
4000 14 3e 80 4d f0 06 00 11 1e d7 10 23 d1 10 23 d3 10 25 f2 00 02 05 32 89 04 88 01 88 31 d8 0f 11 .>.M.......#..#..%....2.....1...
4020 90 21 89 75 90 51 89 78 98 06 d1 0f 1f 88 04 d8 08 09 d7 08 18 d1 08 18 9c 12 9f 18 99 18 d7 19 .!.u.Q.x........................
4040 2a d1 19 2a a8 34 d3 19 30 d5 08 31 f0 05 02 05 32 f0 06 00 0c 0d 80 48 f9 f3 45 01 00 18 40 01 *..*.4..0..1....2......H..E...@.
4060 f9 f3 0c 03 1b 06 73 12 00 00 00 c1 26 10 47 0a 06 c1 37 04 47 0a 06 c2 32 26 47 10 06 29 02 4e ......s.....&.G...7.G...2&G..).N
4080 46 72 0f 00 00 00 29 13 da 07 5f 5f 64 6f 63 5f 5f da 09 69 74 65 72 74 6f 6f 6c 73 72 03 00 00 Fr....)...__doc__..itertoolsr...
40a0 00 da 08 6e 65 74 77 6f 72 6b 78 72 20 00 00 00 72 67 00 00 00 72 05 00 00 00 72 06 00 00 00 da ...networkxr....rg...r....r.....
40c0 07 5f 5f 61 6c 6c 5f 5f da 0d 5f 64 69 73 70 61 74 63 68 61 62 6c 65 72 07 00 00 00 72 0a 00 00 .__all__.._dispatchabler....r...
40e0 00 72 2c 00 00 00 72 3b 00 00 00 72 42 00 00 00 72 08 00 00 00 72 0b 00 00 00 72 0c 00 00 00 72 .r,...r;...rB...r....r....r....r
4100 09 00 00 00 72 19 00 00 00 72 25 00 00 00 72 16 00 00 00 fa 08 3c 6d 6f 64 75 6c 65 3e 72 76 00 ....r....r%...r......<module>rv.
4120 00 00 01 00 00 00 73 ea 00 00 00 f0 03 01 01 01 f1 02 02 01 04 f5 08 00 01 23 e3 00 15 e7 00 3a ......s..................#.....:
4140 f2 04 07 0b 02 80 07 f0 14 00 02 04 d7 01 11 d1 01 11 f1 02 30 01 49 01 f3 03 00 02 12 f0 02 30 ....................0.I........0
4160 01 49 01 f0 66 01 00 02 04 d7 01 11 d1 01 11 f1 02 0a 01 37 f3 03 00 02 12 f0 02 0a 01 37 f2 1a .I..f..............7.........7..
4180 16 01 15 f2 32 13 01 37 f2 2c 15 01 41 01 f0 30 00 02 04 d7 01 11 d1 01 11 f2 02 4d 01 01 3c f3 ....2..7.,..A..0...........M..<.
41a0 03 00 02 12 f0 02 4d 01 01 3c f0 60 02 00 02 04 d7 01 11 d1 01 11 f2 02 5b 01 01 52 01 f3 03 00 ......M..<.`............[..R....
41c0 02 12 f0 02 5b 01 01 52 01 f0 7c 02 00 02 04 d7 01 11 d1 01 11 f2 02 33 01 0e f3 03 00 02 12 f0 ....[..R..|............3........
41e0 02 33 01 0e f1 6c 01 00 02 15 90 5a d3 01 20 d8 01 11 80 12 d7 01 11 d1 01 11 a0 04 d4 01 25 f1 .3...l.....Z..................%.
4200 02 4f 01 01 0d f3 03 00 02 26 f3 03 00 02 21 f1 04 4f 01 01 0d 72 25 00 00 00 .O.......&....!..O...r%...