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|00000000| 44 45 52 49 56 45 20 66 | 6f 72 20 57 69 6e 64 6f |DERIVE f|or Windo|
|00000010| 77 73 20 76 65 72 73 69 | 6f 6e 20 35 2e 30 32 20 |ws versi|on 5.02 |
|00000020| 44 66 57 20 66 69 6c 65 | 20 73 61 76 65 64 20 6f |DfW file| saved o|
|00000030| 6e 20 31 35 20 4d 61 72 | 20 32 30 30 31 0d 0a 1a |n 15 Mar| 2001...|
|00000040| 51 01 00 00 41 44 49 46 | 5f 28 61 2c 20 62 29 3a |Q...ADIF|_(a, b):|
|00000050| 3d 56 45 43 54 4f 52 28 | 56 45 43 54 4f 52 28 49 |=VECTOR(|VECTOR(I|
|00000060| 46 28 61 99 69 99 6a 20 | 2d 20 62 99 69 99 6a 20 |F(a.i.j |- b.i.j |
|00000070| 3e 20 30 2c 20 61 99 69 | 99 6a 20 2d 20 62 99 69 |> 0, a.i|.j - b.i|
|00000080| 99 6a 2c 20 30 29 2c 20 | 6a 2c 20 31 2c 20 44 49 |.j, 0), |j, 1, DI|
|00000090| 4d 28 61 29 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |M(a)), i|, 1, DIM|
|000000a0| 28 61 29 29 0d 0a 41 4c | 49 53 54 4d 41 54 28 61 |(a))..AL|ISTMAT(a|
|000000b0| 29 3a 3d 56 45 43 54 4f | 52 28 41 50 50 45 4e 44 |):=VECTO|R(APPEND|
|000000c0| 28 56 45 43 54 4f 52 28 | 56 45 43 54 4f 52 28 6a |(VECTOR(|VECTOR(j|
|000000d0| 2c 20 6b 2c 20 31 2c 20 | 61 99 69 99 6a 29 2c 20 |, k, 1, |a.i.j), |
|000000e0| 6a 2c 20 31 2c 20 44 49 | 4d 28 61 29 29 29 2c 20 |j, 1, DI|M(a))), |
|000000f0| 69 2c 20 31 2c 20 44 49 | 4d 28 61 29 29 0d 0a 41 |i, 1, DI|M(a))..A|
|00000100| 4c 49 53 54 5f 47 28 67 | 29 3a 3d 41 4c 49 53 54 |LIST_G(g|):=ALIST|
|00000110| 4d 41 54 28 41 4d 41 54 | 5f 47 28 67 29 29 0d 0a |MAT(AMAT|_G(g))..|
|00000120| 41 4d 41 54 28 65 29 3a | 3d 61 6d 61 74 6e 5f 28 |AMAT(e):|=amatn_(|
|00000130| 41 50 50 52 4f 58 28 65 | 29 2c 20 4d 41 58 28 41 |APPROX(e|), MAX(A|
|00000140| 50 50 45 4e 44 28 41 50 | 50 52 4f 58 28 65 29 29 |PPEND(AP|PROX(e))|
|00000150| 29 29 0d 0a 41 4d 41 54 | 44 49 28 65 29 3a 3d 61 |))..AMAT|DI(e):=a|
|00000160| 6d 61 74 64 69 6e 5f 28 | 41 50 50 52 4f 58 28 65 |matdin_(|APPROX(e|
|00000170| 29 2c 20 4d 41 58 28 41 | 50 50 45 4e 44 28 41 50 |), MAX(A|PPEND(AP|
|00000180| 50 52 4f 58 28 65 29 29 | 29 29 0d 0a 41 4d 41 54 |PROX(e))|))..AMAT|
|00000190| 44 49 5f 47 28 67 29 3a | 3d 49 46 28 44 49 4d 28 |DI_G(g):|=IF(DIM(|
|000001a0| 67 99 32 29 20 3d 20 44 | 49 4d 28 67 99 32 60 29 |g.2) = D|IM(g.2`)|
|000001b0| 2c 20 67 99 32 2c 20 61 | 6d 61 74 64 69 6e 5f 28 |, g.2, a|matdin_(|
|000001c0| 28 41 50 50 52 4f 58 28 | 67 29 29 99 32 2c 20 44 |(APPROX(|g)).2, D|
|000001d0| 49 4d 28 28 41 50 50 52 | 4f 58 28 67 29 29 99 31 |IM((APPR|OX(g)).1|
|000001e0| 29 29 29 0d 0a 41 4d 41 | 54 4c 49 53 54 28 6c 29 |)))..AMA|TLIST(l)|
|000001f0| 3a 3d 56 45 43 54 4f 52 | 28 56 45 43 54 4f 52 28 |:=VECTOR|(VECTOR(|
|00000200| 44 49 4d 28 53 45 4c 45 | 43 54 28 6b 20 3d 20 6a |DIM(SELE|CT(k = j|
|00000210| 2c 20 6b 2c 20 6c 99 69 | 29 29 2c 20 6a 2c 20 31 |, k, l.i|)), j, 1|
|00000220| 2c 20 44 49 4d 28 6c 29 | 29 2c 20 69 2c 20 31 2c |, DIM(l)|), i, 1,|
|00000230| 20 44 49 4d 28 6c 29 29 | 0d 0a 41 4d 41 54 5f 47 | DIM(l))|..AMAT_G|
|00000240| 28 67 29 3a 3d 49 46 28 | 44 49 4d 28 67 99 32 29 |(g):=IF(|DIM(g.2)|
|00000250| 20 3d 20 44 49 4d 28 67 | 99 32 60 29 2c 20 67 99 | = DIM(g|.2`), g.|
|00000260| 32 2c 20 61 6d 61 74 6e | 5f 28 28 41 50 50 52 4f |2, amatn|_((APPRO|
|00000270| 58 28 67 29 29 99 32 2c | 20 44 49 4d 28 28 41 50 |X(g)).2,| DIM((AP|
|00000280| 50 52 4f 58 28 67 29 29 | 99 31 29 29 29 0d 0a 41 |PROX(g))|.1)))..A|
|00000290| 4d 41 58 5f 28 61 2c 20 | 62 29 3a 3d 56 45 43 54 |MAX_(a, |b):=VECT|
|000002a0| 4f 52 28 56 45 43 54 4f | 52 28 4d 41 58 28 61 99 |OR(VECTO|R(MAX(a.|
|000002b0| 69 99 6a 2c 20 62 99 69 | 99 6a 29 2c 20 6a 2c 20 |i.j, b.i|.j), j, |
|000002c0| 31 2c 20 44 49 4d 28 61 | 29 29 2c 20 69 2c 20 31 |1, DIM(a|)), i, 1|
|000002d0| 2c 20 44 49 4d 28 61 29 | 29 0d 0a 41 4d 49 4e 5f |, DIM(a)|)..AMIN_|
|000002e0| 28 61 2c 20 62 29 3a 3d | 56 45 43 54 4f 52 28 56 |(a, b):=|VECTOR(V|
|000002f0| 45 43 54 4f 52 28 4d 49 | 4e 28 61 99 69 99 6a 2c |ECTOR(MI|N(a.i.j,|
|00000300| 20 62 99 69 99 6a 29 2c | 20 6a 2c 20 31 2c 20 44 | b.i.j),| j, 1, D|
|00000310| 49 4d 28 61 29 29 2c 20 | 69 2c 20 31 2c 20 44 49 |IM(a)), |i, 1, DI|
|00000320| 4d 28 61 29 29 0d 0a 41 | 52 52 4f 57 5f 28 6e 2c |M(a))..A|RROW_(n,|
|00000330| 20 70 2c 20 71 2c 20 62 | 29 3a 3d 5b 5b 32 32 30 | p, q, b|):=[[220|
|00000340| 30 37 2f 36 32 35 30 b7 | 31 30 5e 28 2d 35 29 b7 |07/6250.|10^(-5).|
|00000350| 43 4f 53 28 49 46 28 70 | 99 31 20 3d 20 71 99 31 |COS(IF(p|.1 = q.1|
|00000360| 2c 20 53 49 47 4e 28 71 | 99 32 20 2d 20 70 99 32 |, SIGN(q|.2 - p.2|
|00000370| 29 b7 b9 2f 32 2c 20 41 | 54 41 4e 28 28 71 99 32 |)../2, A|TAN((q.2|
|00000380| 20 2d 20 70 99 32 29 2f | 28 71 99 31 20 2d 20 70 | - p.2)/|(q.1 - p|
|00000390| 99 31 29 29 20 2b 20 49 | 46 28 71 99 31 20 2d 20 |.1)) + I|F(q.1 - |
|000003a0| 70 99 31 20 3c 20 30 2c | 20 b9 2c 20 30 29 29 29 |p.1 < 0,| ., 0)))|
|000003b0| b7 28 34 39 37 2f 34 30 | 30 b7 31 30 5e 34 b7 8b |.(497/40|0.10^4..|
|000003c0| 28 70 99 32 5e 32 20 2d | 20 32 b7 70 99 32 b7 71 |(p.2^2 -| 2.p.2.q|
|000003d0| 99 32 20 2b 20 70 99 31 | 5e 32 20 2d 20 32 b7 70 |.2 + p.1|^2 - 2.p|
|000003e0| 99 31 b7 71 99 31 20 2b | 20 71 99 32 5e 32 20 2b |.1.q.1 +| q.2^2 +|
|000003f0| 20 71 99 31 5e 32 29 20 | 2d 20 38 b7 28 31 31 33 | q.1^2) |- 8.(113|
|00000400| b7 78 20 2b 20 33 35 35 | 29 29 20 2d 20 31 39 36 |.x + 355|)) - 196|
|00000410| 39 33 31 2f 31 30 30 30 | 30 30 b7 31 30 5e 28 2d |931/1000|00.10^(-|
|00000420| 39 29 b7 53 49 4e 28 49 | 46 28 70 99 31 20 3d 20 |9).SIN(I|F(p.1 = |
|00000430| 71 99 31 2c 20 53 49 47 | 4e 28 71 99 32 20 2d 20 |q.1, SIG|N(q.2 - |
|00000440| 70 99 32 29 b7 b9 2f 32 | 2c 20 41 54 41 4e 28 28 |p.2)../2|, ATAN((|
|00000450| 71 99 32 20 2d 20 70 99 | 32 29 2f 28 71 99 31 20 |q.2 - p.|2)/(q.1 |
|00000460| 2d 20 70 99 31 29 29 20 | 2b 20 49 46 28 71 99 31 |- p.1)) |+ IF(q.1|
|00000470| 20 2d 20 70 99 31 20 3c | 20 30 2c 20 b9 2c 20 30 | - p.1 <| 0, ., 0|
|00000480| 29 29 29 b7 28 36 35 34 | 33 31 2f 32 35 30 30 30 |))).(654|31/25000|
|00000490| b7 31 30 5e 37 b7 6e b7 | 8b 28 70 99 32 5e 32 20 |.10^7.n.|.(p.2^2 |
|000004a0| 2d 20 32 b7 70 99 32 b7 | 71 99 32 20 2b 20 70 99 |- 2.p.2.|q.2 + p.|
|000004b0| 31 5e 32 20 2d 20 32 b7 | 70 99 31 b7 71 99 31 20 |1^2 - 2.|p.1.q.1 |
|000004c0| 2b 20 71 99 32 5e 32 20 | 2b 20 71 99 31 5e 32 29 |+ q.2^2 |+ q.1^2)|
|000004d0| 20 2b 20 32 33 38 34 b7 | 28 33 33 20 2d 20 32 b7 | + 2384.|(33 - 2.|
|000004e0| 62 29 b7 28 31 31 33 b7 | 78 20 2b 20 33 35 35 29 |b).(113.|x + 355)|
|000004f0| 29 2c 20 31 39 36 39 33 | 31 2f 31 30 30 30 30 30 |), 19693|1/100000|
|00000500| b7 31 30 5e 28 2d 39 29 | b7 43 4f 53 28 49 46 28 |.10^(-9)|.COS(IF(|
|00000510| 70 99 31 20 3d 20 71 99 | 31 2c 20 53 49 47 4e 28 |p.1 = q.|1, SIGN(|
|00000520| 71 99 32 20 2d 20 70 99 | 32 29 b7 b9 2f 32 2c 20 |q.2 - p.|2)../2, |
|00000530| 41 54 41 4e 28 28 71 99 | 32 20 2d 20 70 99 32 29 |ATAN((q.|2 - p.2)|
|00000540| 2f 28 71 99 31 20 2d 20 | 70 99 31 29 29 20 2b 20 |/(q.1 - |p.1)) + |
|00000550| 49 46 28 71 99 31 20 2d | 20 70 99 31 20 3c 20 30 |IF(q.1 -| p.1 < 0|
|00000560| 2c 20 b9 2c 20 30 29 29 | 29 b7 28 36 35 34 33 31 |, ., 0))|).(65431|
|00000570| 2f 32 35 30 30 30 b7 31 | 30 5e 37 b7 6e b7 8b 28 |/25000.1|0^7.n..(|
|00000580| 70 99 32 5e 32 20 2d 20 | 32 b7 70 99 32 b7 71 99 |p.2^2 - |2.p.2.q.|
|00000590| 32 20 2b 20 70 99 31 5e | 32 20 2d 20 32 b7 70 99 |2 + p.1^|2 - 2.p.|
|000005a0| 31 b7 71 99 31 20 2b 20 | 71 99 32 5e 32 20 2b 20 |1.q.1 + |q.2^2 + |
|000005b0| 71 99 31 5e 32 29 20 2b | 20 32 33 38 34 b7 28 33 |q.1^2) +| 2384.(3|
|000005c0| 33 20 2d 20 32 b7 62 29 | b7 28 31 31 33 b7 78 20 |3 - 2.b)|.(113.x |
|000005d0| 2b 20 33 35 35 29 29 20 | 2b 20 32 32 30 30 37 2f |+ 355)) |+ 22007/|
|000005e0| 36 32 35 30 b7 31 30 5e | 28 2d 35 29 b7 53 49 4e |6250.10^|(-5).SIN|
|000005f0| 28 49 46 28 70 99 31 20 | 3d 20 71 99 31 2c 20 53 |(IF(p.1 |= q.1, S|
|00000600| 49 47 4e 28 71 99 32 20 | 2d 20 70 99 32 29 b7 b9 |IGN(q.2 |- p.2)..|
|00000610| 2f 32 2c 20 41 54 41 4e | 28 28 71 99 32 20 2d 20 |/2, ATAN|((q.2 - |
|00000620| 70 99 32 29 2f 28 71 99 | 31 20 2d 20 70 99 31 29 |p.2)/(q.|1 - p.1)|
|00000630| 29 20 2b 20 49 46 28 71 | 99 31 20 2d 20 70 99 31 |) + IF(q|.1 - p.1|
|00000640| 20 3c 20 30 2c 20 b9 2c | 20 30 29 29 29 b7 28 34 | < 0, .,| 0))).(4|
|00000650| 39 37 2f 34 30 30 b7 31 | 30 5e 34 b7 8b 28 70 99 |97/400.1|0^4..(p.|
|00000660| 32 5e 32 20 2d 20 32 b7 | 70 99 32 b7 71 99 32 20 |2^2 - 2.|p.2.q.2 |
|00000670| 2b 20 70 99 31 5e 32 20 | 2d 20 32 b7 70 99 31 b7 |+ p.1^2 |- 2.p.1.|
|00000680| 71 99 31 20 2b 20 71 99 | 32 5e 32 20 2b 20 71 99 |q.1 + q.|2^2 + q.|
|00000690| 31 5e 32 29 20 2d 20 38 | b7 28 31 31 33 b7 78 20 |1^2) - 8|.(113.x |
|000006a0| 2b 20 33 35 35 29 29 5d | 20 2b 20 70 2c 20 5b 32 |+ 355))]| + p, [2|
|000006b0| 32 30 30 37 2f 36 32 35 | 30 b7 31 30 5e 28 2d 35 |2007/625|0.10^(-5|
|000006c0| 29 b7 43 4f 53 28 49 46 | 28 70 99 31 20 3d 20 71 |).COS(IF|(p.1 = q|
|000006d0| 99 31 2c 20 53 49 47 4e | 28 71 99 32 20 2d 20 70 |.1, SIGN|(q.2 - p|
|000006e0| 99 32 29 b7 b9 2f 32 2c | 20 41 54 41 4e 28 28 71 |.2)../2,| ATAN((q|
|000006f0| 99 32 20 2d 20 70 99 32 | 29 2f 28 71 99 31 20 2d |.2 - p.2|)/(q.1 -|
|00000700| 20 70 99 31 29 29 20 2b | 20 49 46 28 71 99 31 20 | p.1)) +| IF(q.1 |
|00000710| 2d 20 70 99 31 20 3c 20 | 30 2c 20 b9 2c 20 30 29 |- p.1 < |0, ., 0)|
|00000720| 29 29 b7 28 34 39 37 2f | 34 30 30 b7 31 30 5e 34 |)).(497/|400.10^4|
|00000730| b7 8b 28 70 99 32 5e 32 | 20 2d 20 32 b7 70 99 32 |..(p.2^2| - 2.p.2|
|00000740| b7 71 99 32 20 2b 20 70 | 99 31 5e 32 20 2d 20 32 |.q.2 + p|.1^2 - 2|
|00000750| b7 70 99 31 b7 71 99 31 | 20 2b 20 71 99 32 5e 32 |.p.1.q.1| + q.2^2|
|00000760| 20 2b 20 71 99 31 5e 32 | 29 20 2d 20 38 b7 28 31 | + q.1^2|) - 8.(1|
|00000770| 31 33 b7 78 20 2b 20 33 | 35 35 29 29 20 2b 20 31 |13.x + 3|55)) + 1|
|00000780| 39 36 39 33 31 2f 31 30 | 30 30 30 30 b7 31 30 5e |96931/10|0000.10^|
|00000790| 28 2d 39 29 b7 53 49 4e | 28 49 46 28 70 99 31 20 |(-9).SIN|(IF(p.1 |
|000007a0| 3d 20 71 99 31 2c 20 53 | 49 47 4e 28 71 99 32 20 |= q.1, S|IGN(q.2 |
|000007b0| 2d 20 70 99 32 29 b7 b9 | 2f 32 2c 20 41 54 41 4e |- p.2)..|/2, ATAN|
|000007c0| 28 28 71 99 32 20 2d 20 | 70 99 32 29 2f 28 71 99 |((q.2 - |p.2)/(q.|
|000007d0| 31 20 2d 20 70 99 31 29 | 29 20 2b 20 49 46 28 71 |1 - p.1)|) + IF(q|
|000007e0| 99 31 20 2d 20 70 99 31 | 20 3c 20 30 2c 20 b9 2c |.1 - p.1| < 0, .,|
|000007f0| 20 30 29 29 29 b7 28 32 | 33 38 34 b7 28 32 b7 62 | 0))).(2|384.(2.b|
|00000800| 20 2b 20 33 33 29 b7 28 | 31 31 33 b7 78 20 2b 20 | + 33).(|113.x + |
|00000810| 33 35 35 29 20 2d 20 36 | 35 34 33 31 2f 32 35 30 |355) - 6|5431/250|
|00000820| 30 30 b7 31 30 5e 37 b7 | 6e b7 8b 28 70 99 32 5e |00.10^7.|n..(p.2^|
|00000830| 32 20 2d 20 32 b7 70 99 | 32 b7 71 99 32 20 2b 20 |2 - 2.p.|2.q.2 + |
|00000840| 70 99 31 5e 32 20 2d 20 | 32 b7 70 99 31 b7 71 99 |p.1^2 - |2.p.1.q.|
|00000850| 31 20 2b 20 71 99 32 5e | 32 20 2b 20 71 99 31 5e |1 + q.2^|2 + q.1^|
|00000860| 32 29 29 2c 20 31 39 36 | 39 33 31 2f 31 30 30 30 |2)), 196|931/1000|
|00000870| 30 30 b7 31 30 5e 28 2d | 39 29 b7 43 4f 53 28 49 |00.10^(-|9).COS(I|
|00000880| 46 28 70 99 31 20 3d 20 | 71 99 31 2c 20 53 49 47 |F(p.1 = |q.1, SIG|
|00000890| 4e 28 71 99 32 20 2d 20 | 70 99 32 29 b7 b9 2f 32 |N(q.2 - |p.2)../2|
|000008a0| 2c 20 41 54 41 4e 28 28 | 71 99 32 20 2d 20 70 99 |, ATAN((|q.2 - p.|
|000008b0| 32 29 2f 28 71 99 31 20 | 2d 20 70 99 31 29 29 20 |2)/(q.1 |- p.1)) |
|000008c0| 2b 20 49 46 28 71 99 31 | 20 2d 20 70 99 31 20 3c |+ IF(q.1| - p.1 <|
|000008d0| 20 30 2c 20 b9 2c 20 30 | 29 29 29 b7 28 36 35 34 | 0, ., 0|))).(654|
|000008e0| 33 31 2f 32 35 30 30 30 | b7 31 30 5e 37 b7 6e b7 |31/25000|.10^7.n.|
|000008f0| 8b 28 70 99 32 5e 32 20 | 2d 20 32 b7 70 99 32 b7 |.(p.2^2 |- 2.p.2.|
|00000900| 71 99 32 20 2b 20 70 99 | 31 5e 32 20 2d 20 32 b7 |q.2 + p.|1^2 - 2.|
|00000910| 70 99 31 b7 71 99 31 20 | 2b 20 71 99 32 5e 32 20 |p.1.q.1 |+ q.2^2 |
|00000920| 2b 20 71 99 31 5e 32 29 | 20 2d 20 32 33 38 34 b7 |+ q.1^2)| - 2384.|
|00000930| 28 32 b7 62 20 2b 20 33 | 33 29 b7 28 31 31 33 b7 |(2.b + 3|3).(113.|
|00000940| 78 20 2b 20 33 35 35 29 | 29 20 2b 20 32 32 30 30 |x + 355)|) + 2200|
|00000950| 37 2f 36 32 35 30 b7 31 | 30 5e 28 2d 35 29 b7 53 |7/6250.1|0^(-5).S|
|00000960| 49 4e 28 49 46 28 70 99 | 31 20 3d 20 71 99 31 2c |IN(IF(p.|1 = q.1,|
|00000970| 20 53 49 47 4e 28 71 99 | 32 20 2d 20 70 99 32 29 | SIGN(q.|2 - p.2)|
|00000980| b7 b9 2f 32 2c 20 41 54 | 41 4e 28 28 71 99 32 20 |../2, AT|AN((q.2 |
|00000990| 2d 20 70 99 32 29 2f 28 | 71 99 31 20 2d 20 70 99 |- p.2)/(|q.1 - p.|
|000009a0| 31 29 29 20 2b 20 49 46 | 28 71 99 31 20 2d 20 70 |1)) + IF|(q.1 - p|
|000009b0| 99 31 20 3c 20 30 2c 20 | b9 2c 20 30 29 29 29 b7 |.1 < 0, |., 0))).|
|000009c0| 28 34 39 37 2f 34 30 30 | b7 31 30 5e 34 b7 8b 28 |(497/400|.10^4..(|
|000009d0| 70 99 32 5e 32 20 2d 20 | 32 b7 70 99 32 b7 71 99 |p.2^2 - |2.p.2.q.|
|000009e0| 32 20 2b 20 70 99 31 5e | 32 20 2d 20 32 b7 70 99 |2 + p.1^|2 - 2.p.|
|000009f0| 31 b7 71 99 31 20 2b 20 | 71 99 32 5e 32 20 2b 20 |1.q.1 + |q.2^2 + |
|00000a00| 71 99 31 5e 32 29 20 2d | 20 38 b7 28 31 31 33 b7 |q.1^2) -| 8.(113.|
|00000a10| 78 20 2b 20 33 35 35 29 | 29 5d 20 2b 20 70 5d 0d |x + 355)|)] + p].|
|00000a20| 0a 41 53 49 4d 50 28 61 | 29 3a 3d 56 45 43 54 4f |.ASIMP(a|):=VECTO|
|00000a30| 52 28 56 45 43 54 4f 52 | 28 49 46 28 69 20 3d 20 |R(VECTOR|(IF(i = |
|00000a40| 6a 2c 20 30 2c 20 49 46 | 28 61 99 69 99 6a 20 3d |j, 0, IF|(a.i.j =|
|00000a50| 20 30 2c 20 30 2c 20 31 | 29 29 2c 20 69 2c 20 31 | 0, 0, 1|)), i, 1|
|00000a60| 2c 20 44 49 4d 28 61 29 | 29 2c 20 6a 2c 20 31 2c |, DIM(a)|), j, 1,|
|00000a70| 20 44 49 4d 28 61 29 29 | 0d 0a 41 53 55 42 28 75 | DIM(a))|..ASUB(u|
|00000a80| 2c 20 65 29 3a 3d 61 6d | 61 74 6e 5f 28 41 50 50 |, e):=am|atn_(APP|
|00000a90| 52 4f 58 28 65 29 2c 20 | 44 49 4d 28 75 29 29 0d |ROX(e), |DIM(u)).|
|00000aa0| 0a 41 53 55 42 44 49 28 | 75 2c 20 65 29 3a 3d 61 |.ASUBDI(|u, e):=a|
|00000ab0| 6d 61 74 64 69 6e 5f 28 | 41 50 50 52 4f 58 28 65 |matdin_(|APPROX(e|
|00000ac0| 29 2c 20 44 49 4d 28 75 | 29 29 0d 0a 41 53 55 42 |), DIM(u|))..ASUB|
|00000ad0| 44 49 5f 47 28 75 2c 20 | 67 29 3a 3d 49 46 28 44 |DI_G(u, |g):=IF(D|
|00000ae0| 49 4d 28 67 99 32 29 20 | 3d 20 44 49 4d 28 67 99 |IM(g.2) |= DIM(g.|
|00000af0| 32 60 29 2c 20 45 58 50 | 5f 28 75 2c 20 67 29 2c |2`), EXP|_(u, g),|
|00000b00| 20 41 53 55 42 44 49 28 | 75 2c 20 28 41 50 50 52 | ASUBDI(|u, (APPR|
|00000b10| 4f 58 28 67 29 29 99 32 | 29 29 0d 0a 41 53 55 42 |OX(g)).2|))..ASUB|
|00000b20| 5f 47 28 75 2c 20 67 29 | 3a 3d 49 46 28 44 49 4d |_G(u, g)|:=IF(DIM|
|00000b30| 28 67 99 32 29 20 3d 20 | 44 49 4d 28 67 99 32 60 |(g.2) = |DIM(g.2`|
|00000b40| 29 2c 20 45 58 50 5f 28 | 75 2c 20 67 29 2c 20 41 |), EXP_(|u, g), A|
|00000b50| 53 55 42 28 75 2c 20 28 | 41 50 50 52 4f 58 28 67 |SUB(u, (|APPROX(g|
|00000b60| 29 29 99 32 29 29 0d 0a | 42 49 5f 47 28 67 29 3a |)).2))..|BI_G(g):|
|00000b70| 3d 5b 28 41 50 50 52 4f | 58 28 67 29 29 99 31 2c |=[(APPRO|X(g)).1,|
|00000b80| 20 41 4d 41 54 28 41 50 | 50 52 4f 58 28 67 99 32 | AMAT(AP|PROX(g.2|
|00000b90| 29 29 5d 0d 0a 43 49 52 | 43 55 49 54 28 65 29 3a |))]..CIR|CUIT(e):|
|00000ba0| 3d 57 41 4c 4b 28 41 50 | 50 45 4e 44 28 65 2c 20 |=WALK(AP|PEND(e, |
|00000bb0| 5b 65 99 31 5d 29 29 0d | 0a 43 49 52 43 55 49 54 |[e.1])).|.CIRCUIT|
|00000bc0| 53 28 65 29 3a 3d 41 50 | 50 45 4e 44 28 56 45 43 |S(e):=AP|PEND(VEC|
|00000bd0| 54 4f 52 28 43 49 52 43 | 55 49 54 28 65 99 69 29 |TOR(CIRC|UIT(e.i)|
|00000be0| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 65 29 29 29 |, i, 1, |DIM(e)))|
|00000bf0| 0d 0a 43 49 53 55 42 28 | 65 29 3a 3d 57 53 55 42 |..CISUB(|e):=WSUB|
|00000c00| 28 41 50 50 45 4e 44 28 | 65 2c 20 5b 65 99 31 5d |(APPEND(|e, [e.1]|
|00000c10| 29 29 0d 0a 43 49 53 55 | 42 44 49 28 65 29 3a 3d |))..CISU|BDI(e):=|
|00000c20| 57 53 55 42 44 49 28 41 | 50 50 45 4e 44 28 65 2c |WSUBDI(A|PPEND(e,|
|00000c30| 20 5b 65 99 31 5d 29 29 | 0d 0a 43 49 53 55 42 44 | [e.1]))|..CISUBD|
|00000c40| 49 53 28 76 29 3a 3d 55 | 4e 49 4f 4e 53 28 56 45 |IS(v):=U|NIONS(VE|
|00000c50| 43 54 4f 52 28 43 49 53 | 55 42 44 49 28 76 99 69 |CTOR(CIS|UBDI(v.i|
|00000c60| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 76 29 29 |), i, 1,| DIM(v))|
|00000c70| 29 0d 0a 43 49 53 55 42 | 53 28 76 29 3a 3d 47 53 |)..CISUB|S(v):=GS|
|00000c80| 55 4d 53 28 56 45 43 54 | 4f 52 28 43 49 53 55 42 |UMS(VECT|OR(CISUB|
|00000c90| 28 76 99 69 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |(v.i), i|, 1, DIM|
|00000ca0| 28 76 29 29 29 0d 0a 43 | 49 53 55 42 53 44 49 28 |(v)))..C|ISUBSDI(|
|00000cb0| 76 29 3a 3d 47 53 55 4d | 53 44 49 28 56 45 43 54 |v):=GSUM|SDI(VECT|
|00000cc0| 4f 52 28 43 49 53 55 42 | 44 49 28 76 99 69 29 2c |OR(CISUB|DI(v.i),|
|00000cd0| 20 69 2c 20 31 2c 20 44 | 49 4d 28 76 29 29 29 0d | i, 1, D|IM(v))).|
|00000ce0| 0a 43 4f 4d 50 4c 45 54 | 45 28 65 29 3a 3d 41 50 |.COMPLET|E(e):=AP|
|00000cf0| 50 45 4e 44 28 56 45 43 | 54 4f 52 28 56 45 43 54 |PEND(VEC|TOR(VECT|
|00000d00| 4f 52 28 5b 65 99 69 2c | 20 65 99 6a 5d 2c 20 6a |OR([e.i,| e.j], j|
|00000d10| 2c 20 69 20 2b 20 31 2c | 20 44 49 4d 28 65 29 29 |, i + 1,| DIM(e))|
|00000d20| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 65 29 29 29 |, i, 1, |DIM(e)))|
|00000d30| 0d 0a 43 4f 4d 50 4c 45 | 54 45 53 28 65 29 3a 3d |..COMPLE|TES(e):=|
|00000d40| 41 50 50 45 4e 44 28 56 | 45 43 54 4f 52 28 43 4f |APPEND(V|ECTOR(CO|
|00000d50| 4d 50 4c 45 54 45 28 65 | 99 69 29 2c 20 69 2c 20 |MPLETE(e|.i), i, |
|00000d60| 31 2c 20 44 49 4d 28 65 | 29 29 29 0d 0a 43 4f 4e |1, DIM(e|)))..CON|
|00000d70| 54 5f 45 28 67 2c 20 65 | 29 3a 3d 5b 44 45 4c 45 |T_E(g, e|):=[DELE|
|00000d80| 54 45 28 28 41 50 50 52 | 4f 58 28 67 29 29 99 31 |TE((APPR|OX(g)).1|
|00000d90| 2c 20 65 99 32 29 2c 20 | 41 53 49 4d 50 28 43 4f |, e.2), |ASIMP(CO|
|00000da0| 4e 54 5f 4d 49 4a 28 43 | 4f 4e 54 5f 4d 49 4a 28 |NT_MIJ(C|ONT_MIJ(|
|00000db0| 41 4d 41 54 28 28 41 50 | 50 52 4f 58 28 67 29 29 |AMAT((AP|PROX(g))|
|00000dc0| 99 32 29 60 2c 20 65 99 | 31 2c 20 65 99 32 29 60 |.2)`, e.|1, e.2)`|
|00000dd0| 2c 20 65 99 31 2c 20 65 | 99 32 29 29 5d 0d 0a 43 |, e.1, e|.2))]..C|
|00000de0| 4f 4e 54 5f 4d 49 4a 28 | 61 2c 20 69 2c 20 6a 29 |ONT_MIJ(|a, i, j)|
|00000df0| 3a 3d 44 45 4c 45 54 45 | 28 56 45 43 54 4f 52 28 |:=DELETE|(VECTOR(|
|00000e00| 49 46 28 6b 20 3d 20 69 | 2c 20 61 99 69 20 2b 20 |IF(k = i|, a.i + |
|00000e10| 61 99 6a 2c 20 61 99 6b | 29 2c 20 6b 2c 20 31 2c |a.j, a.k|), k, 1,|
|00000e20| 20 44 49 4d 28 61 29 29 | 2c 20 6a 29 0d 0a 43 4f | DIM(a))|, j)..CO|
|00000e30| 55 4e 54 28 6e 29 3a 3d | 56 45 43 54 4f 52 28 69 |UNT(n):=|VECTOR(i|
|00000e40| 2c 20 69 2c 20 31 2c 20 | 6e 29 0d 0a 43 4f 55 4e |, i, 1, |n)..COUN|
|00000e50| 54 53 28 6d 2c 20 6e 29 | 3a 3d 56 45 43 54 4f 52 |TS(m, n)|:=VECTOR|
|00000e60| 28 69 2c 20 69 2c 20 6d | 2c 20 6e 29 0d 0a 43 59 |(i, i, m|, n)..CY|
|00000e70| 43 4c 45 28 65 29 3a 3d | 57 41 4c 4b 28 41 50 50 |CLE(e):=|WALK(APP|
|00000e80| 45 4e 44 28 65 2c 20 5b | 65 99 31 5d 29 29 0d 0a |END(e, [|e.1]))..|
|00000e90| 43 59 43 4c 45 53 28 65 | 29 3a 3d 41 50 50 45 4e |CYCLES(e|):=APPEN|
|00000ea0| 44 28 56 45 43 54 4f 52 | 28 43 59 43 4c 45 28 65 |D(VECTOR|(CYCLE(e|
|00000eb0| 99 69 29 2c 20 69 2c 20 | 31 2c 20 44 49 4d 28 65 |.i), i, |1, DIM(e|
|00000ec0| 29 29 29 0d 0a 43 59 53 | 55 42 28 65 29 3a 3d 49 |)))..CYS|UB(e):=I|
|00000ed0| 46 28 44 49 53 54 49 4e | 43 54 28 65 29 2c 20 57 |F(DISTIN|CT(e), W|
|00000ee0| 53 55 42 28 41 50 50 45 | 4e 44 28 65 2c 20 5b 65 |SUB(APPE|ND(e, [e|
|00000ef0| 99 31 5d 29 29 2c 20 22 | 76 65 72 74 69 63 65 73 |.1])), "|vertices|
|00000f00| 20 6e 6f 74 20 64 69 73 | 74 69 6e 63 74 22 29 0d | not dis|tinct").|
|00000f10| 0a 43 59 53 55 42 44 49 | 28 65 29 3a 3d 49 46 28 |.CYSUBDI|(e):=IF(|
|00000f20| 44 49 53 54 49 4e 43 54 | 28 65 29 2c 20 57 53 55 |DISTINCT|(e), WSU|
|00000f30| 42 44 49 28 41 50 50 45 | 4e 44 28 65 2c 20 5b 65 |BDI(APPE|ND(e, [e|
|00000f40| 99 31 5d 29 29 2c 20 22 | 76 65 72 74 69 63 65 73 |.1])), "|vertices|
|00000f50| 20 6e 6f 74 20 64 69 73 | 74 69 6e 63 74 22 29 0d | not dis|tinct").|
|00000f60| 0a 43 59 53 55 42 44 49 | 53 28 76 29 3a 3d 55 4e |.CYSUBDI|S(v):=UN|
|00000f70| 49 4f 4e 53 28 56 45 43 | 54 4f 52 28 43 59 53 55 |IONS(VEC|TOR(CYSU|
|00000f80| 42 44 49 28 76 99 69 29 | 2c 20 69 2c 20 31 2c 20 |BDI(v.i)|, i, 1, |
|00000f90| 44 49 4d 28 76 29 29 29 | 0d 0a 43 59 53 55 42 53 |DIM(v)))|..CYSUBS|
|00000fa0| 28 76 29 3a 3d 47 53 55 | 4d 53 28 56 45 43 54 4f |(v):=GSU|MS(VECTO|
|00000fb0| 52 28 43 59 53 55 42 28 | 76 99 69 29 2c 20 69 2c |R(CYSUB(|v.i), i,|
|00000fc0| 20 31 2c 20 44 49 4d 28 | 76 29 29 29 0d 0a 43 59 | 1, DIM(|v)))..CY|
|00000fd0| 53 55 42 53 44 49 28 76 | 29 3a 3d 47 53 55 4d 53 |SUBSDI(v|):=GSUMS|
|00000fe0| 44 49 28 56 45 43 54 4f | 52 28 43 59 53 55 42 44 |DI(VECTO|R(CYSUBD|
|00000ff0| 49 28 76 99 69 29 2c 20 | 69 2c 20 31 2c 20 44 49 |I(v.i), |i, 1, DI|
|00001000| 4d 28 76 29 29 29 0d 0a | 43 5f 28 6e 29 3a 3d 5b |M(v)))..|C_(n):=[|
|00001010| 31 39 2f 35 b7 52 49 4e | 47 28 6e 2c 20 30 29 2c |19/5.RIN|G(n, 0),|
|00001020| 20 43 49 52 43 55 49 54 | 28 43 4f 55 4e 54 28 6e | CIRCUIT|(COUNT(n|
|00001030| 29 29 5d 0d 0a 44 45 4c | 44 49 5f 45 28 67 2c 20 |))]..DEL|DI_E(g, |
|00001040| 65 29 3a 3d 5b 28 41 50 | 50 52 4f 58 28 67 29 29 |e):=[(AP|PROX(g))|
|00001050| 99 31 2c 20 28 41 50 50 | 52 4f 58 28 67 29 29 99 |.1, (APP|ROX(g)).|
|00001060| 32 20 2d 20 49 5f 44 28 | 44 49 4d 28 28 41 50 50 |2 - I_D(|DIM((APP|
|00001070| 52 4f 58 28 67 29 29 99 | 32 29 2c 20 65 29 5d 0d |ROX(g)).|2), e)].|
|00001080| 0a 44 45 4c 5f 45 28 67 | 2c 20 65 29 3a 3d 49 46 |.DEL_E(g|, e):=IF|
|00001090| 28 44 49 4d 28 28 41 50 | 50 52 4f 58 28 67 29 29 |(DIM((AP|PROX(g))|
|000010a0| 99 32 60 29 20 3d 20 44 | 49 4d 28 28 41 50 50 52 |.2`) = D|IM((APPR|
|000010b0| 4f 58 28 67 29 29 99 32 | 29 2c 20 5b 28 41 50 50 |OX(g)).2|), [(APP|
|000010c0| 52 4f 58 28 67 29 29 99 | 31 2c 20 4d 55 4d 49 4e |ROX(g)).|1, MUMIN|
|000010d0| 5f 45 28 28 41 50 50 52 | 4f 58 28 67 29 29 99 32 |_E((APPR|OX(g)).2|
|000010e0| 2c 20 65 29 5d 2c 20 5b | 28 41 50 50 52 4f 58 28 |, e)], [|(APPROX(|
|000010f0| 67 29 29 99 31 2c 20 45 | 44 47 45 53 28 4d 55 4d |g)).1, E|DGES(MUM|
|00001100| 49 4e 5f 45 28 41 4d 41 | 54 28 28 41 50 50 52 4f |IN_E(AMA|T((APPRO|
|00001110| 58 28 67 29 29 99 32 29 | 2c 20 65 29 29 5d 29 0d |X(g)).2)|, e))]).|
|00001120| 0a 44 49 45 44 47 45 53 | 28 61 29 3a 3d 41 50 50 |.DIEDGES|(a):=APP|
|00001130| 45 4e 44 28 41 50 50 45 | 4e 44 28 56 45 43 54 4f |END(APPE|ND(VECTO|
|00001140| 52 28 56 45 43 54 4f 52 | 28 49 46 28 69 20 3d 20 |R(VECTOR|(IF(i = |
|00001150| 6a 2c 20 56 45 43 54 4f | 52 28 5b 69 2c 20 6a 5d |j, VECTO|R([i, j]|
|00001160| 2c 20 6b 2c 20 31 2c 20 | 61 99 69 99 6a 29 2c 20 |, k, 1, |a.i.j), |
|00001170| 41 50 50 45 4e 44 28 5b | 56 45 43 54 4f 52 28 5b |APPEND([|VECTOR([|
|00001180| 69 2c 20 6a 5d 2c 20 6b | 2c 20 31 2c 20 61 99 69 |i, j], k|, 1, a.i|
|00001190| 99 6a 29 2c 20 56 45 43 | 54 4f 52 28 5b 6a 2c 20 |.j), VEC|TOR([j, |
|000011a0| 69 5d 2c 20 6b 2c 20 31 | 2c 20 61 99 6a 99 69 29 |i], k, 1|, a.j.i)|
|000011b0| 5d 29 29 2c 20 6a 2c 20 | 69 2c 20 44 49 4d 28 61 |])), j, |i, DIM(a|
|000011c0| 29 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 61 29 |)), i, 1|, DIM(a)|
|000011d0| 29 29 29 0d 0a 44 49 46 | 53 28 76 29 3a 3d 28 44 |)))..DIF|S(v):=(D|
|000011e0| 49 46 5f 53 28 76 2c 20 | 44 49 4d 28 76 29 20 2d |IF_S(v, |DIM(v) -|
|000011f0| 20 31 29 29 99 31 0d 0a | 44 49 46 53 44 49 28 76 | 1)).1..|DIFSDI(v|
|00001200| 29 3a 3d 28 44 49 46 5f | 53 44 49 28 76 2c 20 44 |):=(DIF_|SDI(v, D|
|00001210| 49 4d 28 76 29 20 2d 20 | 31 29 29 99 31 0d 0a 44 |IM(v) - |1)).1..D|
|00001220| 49 46 53 55 42 28 67 2c | 20 68 29 3a 3d 5b 44 49 |IFSUB(g,| h):=[DI|
|00001230| 46 5f 28 67 99 31 2c 20 | 68 99 31 2c 20 41 44 49 |F_(g.1, |h.1, ADI|
|00001240| 46 5f 28 41 53 55 42 5f | 47 28 55 5f 2c 20 67 29 |F_(ASUB_|G(U_, g)|
|00001250| 2c 20 41 53 55 42 5f 47 | 28 55 5f 2c 20 68 29 29 |, ASUB_G|(U_, h))|
|00001260| 29 2c 20 28 41 44 49 46 | 5f 28 41 53 55 42 5f 47 |), (ADIF|_(ASUB_G|
|00001270| 28 55 5f 2c 20 67 29 2c | 20 41 53 55 42 5f 47 28 |(U_, g),| ASUB_G(|
|00001280| 55 5f 2c 20 68 29 29 29 | 20 52 4f 57 20 44 49 46 |U_, h)))| ROW DIF|
|00001290| 5f 28 67 99 31 2c 20 68 | 99 31 2c 20 41 44 49 46 |_(g.1, h|.1, ADIF|
|000012a0| 5f 28 41 53 55 42 5f 47 | 28 55 5f 2c 20 67 29 2c |_(ASUB_G|(U_, g),|
|000012b0| 20 41 53 55 42 5f 47 28 | 55 5f 2c 20 68 29 29 29 | ASUB_G(|U_, h)))|
|000012c0| 20 43 4f 4c 20 44 49 46 | 5f 28 67 99 31 2c 20 68 | COL DIF|_(g.1, h|
|000012d0| 99 31 2c 20 41 44 49 46 | 5f 28 41 53 55 42 5f 47 |.1, ADIF|_(ASUB_G|
|000012e0| 28 55 5f 2c 20 67 29 2c | 20 41 53 55 42 5f 47 28 |(U_, g),| ASUB_G(|
|000012f0| 55 5f 2c 20 68 29 29 29 | 5d 0d 0a 44 49 46 53 55 |U_, h)))|]..DIFSU|
|00001300| 42 44 49 28 67 2c 20 68 | 29 3a 3d 5b 44 49 46 5f |BDI(g, h|):=[DIF_|
|00001310| 28 67 99 31 2c 20 68 99 | 31 2c 20 41 44 49 46 5f |(g.1, h.|1, ADIF_|
|00001320| 28 41 53 55 42 44 49 5f | 47 28 55 5f 2c 20 67 29 |(ASUBDI_|G(U_, g)|
|00001330| 2c 20 41 53 55 42 44 49 | 5f 47 28 55 5f 2c 20 68 |, ASUBDI|_G(U_, h|
|00001340| 29 29 29 2c 20 28 41 44 | 49 46 5f 28 41 53 55 42 |))), (AD|IF_(ASUB|
|00001350| 44 49 5f 47 28 55 5f 2c | 20 67 29 2c 20 41 53 55 |DI_G(U_,| g), ASU|
|00001360| 42 44 49 5f 47 28 55 5f | 2c 20 68 29 29 29 20 52 |BDI_G(U_|, h))) R|
|00001370| 4f 57 20 44 49 46 5f 28 | 67 99 31 2c 20 68 99 31 |OW DIF_(|g.1, h.1|
|00001380| 2c 20 41 44 49 46 5f 28 | 41 53 55 42 44 49 5f 47 |, ADIF_(|ASUBDI_G|
|00001390| 28 55 5f 2c 20 67 29 2c | 20 41 53 55 42 44 49 5f |(U_, g),| ASUBDI_|
|000013a0| 47 28 55 5f 2c 20 68 29 | 29 29 20 43 4f 4c 20 44 |G(U_, h)|)) COL D|
|000013b0| 49 46 5f 28 67 99 31 2c | 20 68 99 31 2c 20 41 44 |IF_(g.1,| h.1, AD|
|000013c0| 49 46 5f 28 41 53 55 42 | 44 49 5f 47 28 55 5f 2c |IF_(ASUB|DI_G(U_,|
|000013d0| 20 67 29 2c 20 41 53 55 | 42 44 49 5f 47 28 55 5f | g), ASU|BDI_G(U_|
|000013e0| 2c 20 68 29 29 29 5d 0d | 0a 44 49 46 5f 28 75 2c |, h)))].|.DIF_(u,|
|000013f0| 20 76 2c 20 61 29 3a 3d | 41 50 50 45 4e 44 28 56 | v, a):=|APPEND(V|
|00001400| 45 43 54 4f 52 28 49 46 | 28 28 4d 45 4d 42 45 52 |ECTOR(IF|((MEMBER|
|00001410| 3f 28 69 2c 20 75 29 20 | 8f 20 ac 20 4d 45 4d 42 |?(i, u) |. . MEMB|
|00001420| 45 52 3f 28 69 2c 20 76 | 29 29 20 90 20 7a 7a 5f |ER?(i, v|)) . zz_|
|00001430| 28 61 2c 20 69 29 20 94 | 20 30 2c 20 5b 69 5d 2c |(a, i) .| 0, [i],|
|00001440| 20 5b 5d 29 2c 20 69 2c | 20 31 2c 20 4d 41 58 28 | []), i,| 1, MAX(|
|00001450| 41 50 50 45 4e 44 28 75 | 2c 20 76 29 29 29 29 0d |APPEND(u|, v)))).|
|00001460| 0a 44 49 46 5f 53 28 76 | 2c 20 6e 29 3a 3d 49 54 |.DIF_S(v|, n):=IT|
|00001470| 45 52 41 54 45 28 5b 44 | 49 46 53 55 42 28 78 99 |ERATE([D|IFSUB(x.|
|00001480| 31 2c 20 76 99 28 78 99 | 32 29 29 2c 20 78 99 32 |1, v.(x.|2)), x.2|
|00001490| 20 2b 20 31 5d 2c 20 78 | 2c 20 5b 76 99 31 2c 20 | + 1], x|, [v.1, |
|000014a0| 32 5d 2c 20 6e 29 0d 0a | 44 49 46 5f 53 44 49 28 |2], n)..|DIF_SDI(|
|000014b0| 76 2c 20 6e 29 3a 3d 49 | 54 45 52 41 54 45 28 5b |v, n):=I|TERATE([|
|000014c0| 44 49 46 53 55 42 44 49 | 28 78 99 31 2c 20 76 99 |DIFSUBDI|(x.1, v.|
|000014d0| 28 78 99 32 29 29 2c 20 | 78 99 32 20 2b 20 31 5d |(x.2)), |x.2 + 1]|
|000014e0| 2c 20 78 2c 20 5b 76 99 | 31 2c 20 32 5d 2c 20 6e |, x, [v.|1, 2], n|
|000014f0| 29 0d 0a 44 49 53 54 49 | 4e 43 54 28 76 29 3a 3d |)..DISTI|NCT(v):=|
|00001500| a4 28 a4 28 49 46 28 76 | 99 69 20 3d 20 76 99 6a |.(.(IF(v|.i = v.j|
|00001510| 2c 20 31 2c 20 30 29 2c | 20 6a 2c 20 69 20 2b 20 |, 1, 0),| j, i + |
|00001520| 31 2c 20 44 49 4d 28 76 | 29 29 2c 20 69 2c 20 31 |1, DIM(v|)), i, 1|
|00001530| 2c 20 44 49 4d 28 76 29 | 29 0d 0a 44 49 53 54 5f |, DIM(v)|)..DIST_|
|00001540| 56 28 76 29 3a 3d 41 50 | 50 45 4e 44 28 56 45 43 |V(v):=AP|PEND(VEC|
|00001550| 54 4f 52 28 49 46 28 4d | 45 4d 42 45 52 3f 28 69 |TOR(IF(M|EMBER?(i|
|00001560| 2c 20 76 29 2c 20 5b 69 | 5d 2c 20 5b 5d 29 2c 20 |, v), [i|], []), |
|00001570| 69 2c 20 31 2c 20 4d 41 | 58 28 76 29 29 29 0d 0a |i, 1, MA|X(v)))..|
|00001580| 44 49 53 5f 47 28 64 2c | 20 70 29 3a 3d 56 45 43 |DIS_G(d,| p):=VEC|
|00001590| 54 4f 52 28 56 45 43 54 | 4f 52 28 64 99 69 99 6a |TOR(VECT|OR(d.i.j|
|000015a0| 20 2b 20 56 45 43 54 4f | 52 28 70 2c 20 6b 2c 20 | + VECTO|R(p, k, |
|000015b0| 31 2c 20 44 49 4d 28 64 | 99 69 99 6a 29 29 2c 20 |1, DIM(d|.i.j)), |
|000015c0| 6a 2c 20 31 2c 20 44 49 | 4d 28 64 99 69 29 29 2c |j, 1, DI|M(d.i)),|
|000015d0| 20 69 2c 20 31 2c 20 32 | 29 0d 0a 44 49 53 5f 47 | i, 1, 2|)..DIS_G|
|000015e0| 53 28 76 2c 20 70 29 3a | 3d 56 45 43 54 4f 52 28 |S(v, p):|=VECTOR(|
|000015f0| 44 49 53 5f 47 28 76 99 | 69 2c 20 70 29 2c 20 69 |DIS_G(v.|i, p), i|
|00001600| 2c 20 31 2c 20 44 49 4d | 28 76 29 29 0d 0a 44 49 |, 1, DIM|(v))..DI|
|00001610| 53 5f 56 28 76 2c 20 70 | 29 3a 3d 76 20 2b 20 56 |S_V(v, p|):=v + V|
|00001620| 45 43 54 4f 52 28 70 2c | 20 69 2c 20 31 2c 20 44 |ECTOR(p,| i, 1, D|
|00001630| 49 4d 28 76 29 29 0d 0a | 44 49 53 5f 56 53 28 76 |IM(v))..|DIS_VS(v|
|00001640| 2c 20 70 29 3a 3d 56 45 | 43 54 4f 52 28 44 49 53 |, p):=VE|CTOR(DIS|
|00001650| 5f 56 28 76 99 69 2c 20 | 70 29 2c 20 69 2c 20 31 |_V(v.i, |p), i, 1|
|00001660| 2c 20 44 49 4d 28 76 29 | 29 0d 0a 44 52 41 57 28 |, DIM(v)|)..DRAW(|
|00001670| 67 29 3a 3d 44 52 41 57 | 42 28 67 2c 20 30 29 0d |g):=DRAW|B(g, 0).|
|00001680| 0a 44 52 41 57 42 28 67 | 2c 20 62 29 3a 3d 49 46 |.DRAWB(g|, b):=IF|
|00001690| 28 44 49 4d 28 28 41 50 | 50 52 4f 58 28 67 29 29 |(DIM((AP|PROX(g))|
|000016a0| 99 32 60 29 20 3d 20 44 | 49 4d 28 28 41 50 50 52 |.2`) = D|IM((APPR|
|000016b0| 4f 58 28 67 29 29 99 32 | 29 2c 20 44 52 41 57 5f |OX(g)).2|), DRAW_|
|000016c0| 4d 42 28 67 2c 20 62 29 | 2c 20 44 52 41 57 5f 45 |MB(g, b)|, DRAW_E|
|000016d0| 42 28 67 2c 20 62 29 29 | 0d 0a 44 52 41 57 42 4c |B(g, b))|..DRAWBL|
|000016e0| 28 67 2c 20 62 2c 20 a9 | 29 3a 3d 49 46 28 44 49 |(g, b, .|):=IF(DI|
|000016f0| 4d 28 28 41 50 50 52 4f | 58 28 67 29 29 99 32 60 |M((APPRO|X(g)).2`|
|00001700| 29 20 3d 20 44 49 4d 28 | 28 41 50 50 52 4f 58 28 |) = DIM(|(APPROX(|
|00001710| 67 29 29 99 32 29 2c 20 | 44 52 41 57 5f 4d 42 4c |g)).2), |DRAW_MBL|
|00001720| 28 67 2c 20 62 2c 20 a9 | 29 2c 20 44 52 41 57 5f |(g, b, .|), DRAW_|
|00001730| 45 42 4c 28 67 2c 20 62 | 2c 20 a9 29 29 0d 0a 44 |EBL(g, b|, .))..D|
|00001740| 52 41 57 42 4c 53 28 76 | 2c 20 65 73 29 3a 3d 56 |RAWBLS(v|, es):=V|
|00001750| 45 43 54 4f 52 28 44 52 | 41 57 42 4c 28 5b 76 2c |ECTOR(DR|AWBL([v,|
|00001760| 20 28 41 50 50 52 4f 58 | 28 65 73 29 29 99 69 99 | (APPROX|(es)).i.|
|00001770| 31 5d 2c 20 28 41 50 50 | 52 4f 58 28 65 73 29 29 |1], (APP|ROX(es))|
|00001780| 99 69 99 32 2c 20 28 41 | 50 50 52 4f 58 28 65 73 |.i.2, (A|PPROX(es|
|00001790| 29 29 99 69 99 33 29 2c | 20 69 2c 20 31 2c 20 44 |)).i.3),| i, 1, D|
|000017a0| 49 4d 28 65 73 29 29 0d | 0a 44 52 41 57 42 53 28 |IM(es)).|.DRAWBS(|
|000017b0| 76 2c 20 65 73 29 3a 3d | 56 45 43 54 4f 52 28 44 |v, es):=|VECTOR(D|
|000017c0| 52 41 57 42 28 5b 76 2c | 20 28 41 50 50 52 4f 58 |RAWB([v,| (APPROX|
|000017d0| 28 65 73 29 29 99 69 99 | 31 5d 2c 20 28 41 50 50 |(es)).i.|1], (APP|
|000017e0| 52 4f 58 28 65 73 29 29 | 99 69 99 32 29 2c 20 69 |ROX(es))|.i.2), i|
|000017f0| 2c 20 31 2c 20 44 49 4d | 28 65 73 29 29 0d 0a 44 |, 1, DIM|(es))..D|
|00001800| 52 41 57 44 44 49 28 67 | 29 3a 3d 44 52 41 57 44 |RAWDDI(g|):=DRAWD|
|00001810| 44 49 42 28 67 2c 20 30 | 29 0d 0a 44 52 41 57 44 |DIB(g, 0|)..DRAWD|
|00001820| 44 49 42 28 67 2c 20 62 | 29 3a 3d 49 46 28 44 49 |DIB(g, b|):=IF(DI|
|00001830| 4d 28 28 41 50 50 52 4f | 58 28 67 29 29 99 32 60 |M((APPRO|X(g)).2`|
|00001840| 29 20 3d 20 44 49 4d 28 | 28 41 50 50 52 4f 58 28 |) = DIM(|(APPROX(|
|00001850| 67 29 29 99 32 29 2c 20 | 44 52 41 57 44 44 49 5f |g)).2), |DRAWDDI_|
|00001860| 4d 28 67 2c 20 62 29 2c | 20 44 52 41 57 44 44 49 |M(g, b),| DRAWDDI|
|00001870| 5f 45 28 67 2c 20 62 29 | 29 0d 0a 44 52 41 57 44 |_E(g, b)|)..DRAWD|
|00001880| 44 49 5f 45 28 67 2c 20 | 62 29 3a 3d 44 52 41 57 |DI_E(g, |b):=DRAW|
|00001890| 44 44 49 5f 4d 28 5b 28 | 41 50 50 52 4f 58 28 67 |DDI_M([(|APPROX(g|
|000018a0| 29 29 99 31 2c 20 41 4d | 41 54 44 49 28 28 41 50 |)).1, AM|ATDI((AP|
|000018b0| 50 52 4f 58 28 67 29 29 | 99 32 29 5d 2c 20 62 29 |PROX(g))|.2)], b)|
|000018c0| 0d 0a 44 52 41 57 44 44 | 49 5f 4d 28 67 2c 20 62 |..DRAWDD|I_M(g, b|
|000018d0| 29 3a 3d 5b 56 45 43 54 | 4f 52 28 5b 67 99 31 99 |):=[VECT|OR([g.1.|
|000018e0| 69 5d 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 67 99 |i], i, 1|, DIM(g.|
|000018f0| 31 29 29 2c 20 41 50 50 | 45 4e 44 28 41 50 50 45 |1)), APP|END(APPE|
|00001900| 4e 44 28 56 45 43 54 4f | 52 28 56 45 43 54 4f 52 |ND(VECTO|R(VECTOR|
|00001910| 28 49 46 28 69 20 3d 20 | 6a 20 90 20 67 99 32 99 |(IF(i = |j . g.2.|
|00001920| 69 99 6a 20 3d 20 30 2c | 20 5b 5d 2c 20 49 46 28 |i.j = 0,| [], IF(|
|00001930| 69 20 3c 20 6a 2c 20 45 | 44 47 45 5f 41 52 52 4f |i < j, E|DGE_ARRO|
|00001940| 57 28 62 2c 20 67 99 31 | 99 69 2c 20 67 99 31 99 |W(b, g.1|.i, g.1.|
|00001950| 6a 2c 20 30 29 2c 20 45 | 44 47 45 5f 41 52 52 4f |j, 0), E|DGE_ARRO|
|00001960| 57 28 2d 62 2c 20 67 99 | 31 99 69 2c 20 67 99 31 |W(-b, g.|1.i, g.1|
|00001970| 99 6a 2c 20 30 29 29 29 | 2c 20 6a 2c 20 31 2c 20 |.j, 0)))|, j, 1, |
|00001980| 44 49 4d 28 67 99 32 29 | 29 2c 20 69 2c 20 31 2c |DIM(g.2)|), i, 1,|
|00001990| 20 44 49 4d 28 67 99 32 | 29 29 29 29 5d 0d 0a 44 | DIM(g.2|))))]..D|
|000019a0| 52 41 57 44 49 28 67 29 | 3a 3d 44 52 41 57 44 49 |RAWDI(g)|:=DRAWDI|
|000019b0| 42 28 67 2c 20 30 29 0d | 0a 44 52 41 57 44 49 42 |B(g, 0).|.DRAWDIB|
|000019c0| 28 67 2c 20 62 29 3a 3d | 49 46 28 44 49 4d 28 28 |(g, b):=|IF(DIM((|
|000019d0| 41 50 50 52 4f 58 28 67 | 29 29 99 32 60 29 20 3d |APPROX(g|)).2`) =|
|000019e0| 20 44 49 4d 28 28 41 50 | 50 52 4f 58 28 67 29 29 | DIM((AP|PROX(g))|
|000019f0| 99 32 29 2c 20 44 52 41 | 57 44 49 5f 4d 42 28 67 |.2), DRA|WDI_MB(g|
|00001a00| 2c 20 62 29 2c 20 44 52 | 41 57 44 49 5f 45 42 28 |, b), DR|AWDI_EB(|
|00001a10| 67 2c 20 62 29 29 0d 0a | 44 52 41 57 44 49 42 41 |g, b))..|DRAWDIBA|
|00001a20| 28 67 2c 20 62 2c 20 73 | 29 3a 3d 49 46 28 44 49 |(g, b, s|):=IF(DI|
|00001a30| 4d 28 28 41 50 50 52 4f | 58 28 67 29 29 99 32 60 |M((APPRO|X(g)).2`|
|00001a40| 29 20 3d 20 44 49 4d 28 | 28 41 50 50 52 4f 58 28 |) = DIM(|(APPROX(|
|00001a50| 67 29 29 99 32 29 2c 20 | 44 52 41 57 44 49 5f 4d |g)).2), |DRAWDI_M|
|00001a60| 42 41 28 67 2c 20 62 2c | 20 73 29 2c 20 44 52 41 |BA(g, b,| s), DRA|
|00001a70| 57 44 49 5f 45 42 41 28 | 67 2c 20 62 2c 20 73 29 |WDI_EBA(|g, b, s)|
|00001a80| 29 0d 0a 44 52 41 57 44 | 49 42 41 53 28 76 2c 20 |)..DRAWD|IBAS(v, |
|00001a90| 65 73 29 3a 3d 56 45 43 | 54 4f 52 28 44 52 41 57 |es):=VEC|TOR(DRAW|
|00001aa0| 44 49 42 41 28 5b 76 2c | 20 28 41 50 50 52 4f 58 |DIBA([v,| (APPROX|
|00001ab0| 28 65 73 29 29 99 69 99 | 31 5d 2c 20 28 41 50 50 |(es)).i.|1], (APP|
|00001ac0| 52 4f 58 28 65 73 29 29 | 99 69 99 32 2c 20 28 41 |ROX(es))|.i.2, (A|
|00001ad0| 50 50 52 4f 58 28 65 73 | 29 29 99 69 99 33 29 2c |PPROX(es|)).i.3),|
|00001ae0| 20 69 2c 20 31 2c 20 44 | 49 4d 28 65 73 29 29 0d | i, 1, D|IM(es)).|
|00001af0| 0a 44 52 41 57 44 49 42 | 4c 28 67 2c 20 62 2c 20 |.DRAWDIB|L(g, b, |
|00001b00| a9 29 3a 3d 49 46 28 44 | 49 4d 28 28 41 50 50 52 |.):=IF(D|IM((APPR|
|00001b10| 4f 58 28 67 29 29 99 32 | 60 29 20 3d 20 44 49 4d |OX(g)).2|`) = DIM|
|00001b20| 28 28 41 50 50 52 4f 58 | 28 67 29 29 99 32 29 2c |((APPROX|(g)).2),|
|00001b30| 20 44 52 41 57 44 49 5f | 4d 42 4c 28 67 2c 20 62 | DRAWDI_|MBL(g, b|
|00001b40| 2c 20 a9 29 2c 20 44 52 | 41 57 44 49 5f 45 42 4c |, .), DR|AWDI_EBL|
|00001b50| 28 67 2c 20 62 2c 20 a9 | 29 29 0d 0a 44 52 41 57 |(g, b, .|))..DRAW|
|00001b60| 44 49 42 4c 53 28 76 2c | 20 65 73 29 3a 3d 56 45 |DIBLS(v,| es):=VE|
|00001b70| 43 54 4f 52 28 44 52 41 | 57 44 49 42 4c 28 5b 76 |CTOR(DRA|WDIBL([v|
|00001b80| 2c 20 28 41 50 50 52 4f | 58 28 65 73 29 29 99 69 |, (APPRO|X(es)).i|
|00001b90| 99 31 5d 2c 20 28 41 50 | 50 52 4f 58 28 65 73 29 |.1], (AP|PROX(es)|
|00001ba0| 29 99 69 99 32 2c 20 28 | 41 50 50 52 4f 58 28 65 |).i.2, (|APPROX(e|
|00001bb0| 73 29 29 99 69 99 33 29 | 2c 20 69 2c 20 31 2c 20 |s)).i.3)|, i, 1, |
|00001bc0| 44 49 4d 28 65 73 29 29 | 0d 0a 44 52 41 57 44 49 |DIM(es))|..DRAWDI|
|00001bd0| 42 53 28 76 2c 20 65 73 | 29 3a 3d 56 45 43 54 4f |BS(v, es|):=VECTO|
|00001be0| 52 28 44 52 41 57 44 49 | 42 28 5b 76 2c 20 28 41 |R(DRAWDI|B([v, (A|
|00001bf0| 50 50 52 4f 58 28 65 73 | 29 29 99 69 99 31 5d 2c |PPROX(es|)).i.1],|
|00001c00| 20 28 41 50 50 52 4f 58 | 28 65 73 29 29 99 69 99 | (APPROX|(es)).i.|
|00001c10| 32 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 65 73 |2), i, 1|, DIM(es|
|00001c20| 29 29 0d 0a 44 52 41 57 | 44 49 5f 45 28 67 29 3a |))..DRAW|DI_E(g):|
|00001c30| 3d 44 52 41 57 44 49 5f | 45 42 28 67 2c 20 30 29 |=DRAWDI_|EB(g, 0)|
|00001c40| 0d 0a 44 52 41 57 44 49 | 5f 45 42 28 67 2c 20 62 |..DRAWDI|_EB(g, b|
|00001c50| 29 3a 3d 44 52 41 57 44 | 49 5f 4d 42 28 5b 28 41 |):=DRAWD|I_MB([(A|
|00001c60| 50 50 52 4f 58 28 67 29 | 29 99 31 2c 20 41 4d 41 |PPROX(g)|).1, AMA|
|00001c70| 54 44 49 28 28 41 50 50 | 52 4f 58 28 67 29 29 99 |TDI((APP|ROX(g)).|
|00001c80| 32 29 5d 2c 20 62 29 0d | 0a 44 52 41 57 44 49 5f |2)], b).|.DRAWDI_|
|00001c90| 45 42 41 28 67 2c 20 62 | 2c 20 73 29 3a 3d 44 52 |EBA(g, b|, s):=DR|
|00001ca0| 41 57 44 49 5f 4d 42 41 | 28 5b 28 41 50 50 52 4f |AWDI_MBA|([(APPRO|
|00001cb0| 58 28 67 29 29 99 31 2c | 20 41 4d 41 54 44 49 28 |X(g)).1,| AMATDI(|
|00001cc0| 28 41 50 50 52 4f 58 28 | 67 29 29 99 32 29 5d 2c |(APPROX(|g)).2)],|
|00001cd0| 20 62 2c 20 73 29 0d 0a | 44 52 41 57 44 49 5f 45 | b, s)..|DRAWDI_E|
|00001ce0| 42 4c 28 67 2c 20 62 2c | 20 a9 29 3a 3d 44 52 41 |BL(g, b,| .):=DRA|
|00001cf0| 57 44 49 5f 4d 42 4c 28 | 5b 28 41 50 50 52 4f 58 |WDI_MBL(|[(APPROX|
|00001d00| 28 67 29 29 99 31 2c 20 | 41 4d 41 54 44 49 28 28 |(g)).1, |AMATDI((|
|00001d10| 41 50 50 52 4f 58 28 67 | 29 29 99 32 29 5d 2c 20 |APPROX(g|)).2)], |
|00001d20| 62 2c 20 a9 29 0d 0a 44 | 52 41 57 44 49 5f 4d 28 |b, .)..D|RAWDI_M(|
|00001d30| 67 29 3a 3d 44 52 41 57 | 44 49 5f 4d 42 28 67 2c |g):=DRAW|DI_MB(g,|
|00001d40| 20 30 29 0d 0a 44 52 41 | 57 44 49 5f 4d 42 28 67 | 0)..DRA|WDI_MB(g|
|00001d50| 2c 20 62 29 3a 3d 41 50 | 50 52 4f 58 28 5b 56 45 |, b):=AP|PROX([VE|
|00001d60| 43 54 4f 52 28 5b 67 99 | 31 99 69 5d 2c 20 69 2c |CTOR([g.|1.i], i,|
|00001d70| 20 31 2c 20 44 49 4d 28 | 67 99 31 29 29 2c 20 49 | 1, DIM(|g.1)), I|
|00001d80| 46 28 72 63 5f 73 75 6d | 28 67 99 32 29 20 3d 20 |F(rc_sum|(g.2) = |
|00001d90| 31 2c 20 75 6e 69 5f 64 | 72 61 77 64 69 28 67 2c |1, uni_d|rawdi(g,|
|00001da0| 20 62 29 2c 20 41 50 50 | 45 4e 44 28 41 50 50 45 | b), APP|END(APPE|
|00001db0| 4e 44 28 41 50 50 45 4e | 44 28 56 45 43 54 4f 52 |ND(APPEN|D(VECTOR|
|00001dc0| 28 56 45 43 54 4f 52 28 | 56 45 43 54 4f 52 28 49 |(VECTOR(|VECTOR(I|
|00001dd0| 46 28 69 20 3d 20 6a 2c | 20 5b 4c 4f 4f 50 5f 41 |F(i = j,| [LOOP_A|
|00001de0| 52 52 4f 57 28 6b 2c 20 | 67 99 31 99 69 2c 20 53 |RROW(k, |g.1.i, S|
|00001df0| 49 47 4e 28 6b 20 2b 20 | 31 2f 31 30 29 29 5d 2c |IGN(k + |1/10))],|
|00001e00| 20 49 46 28 6b 20 92 20 | 28 31 20 2d 20 67 99 32 | IF(k . |(1 - g.2|
|00001e10| 99 69 99 6a 20 2b 20 67 | 99 32 99 6a 99 69 29 2f |.i.j + g|.2.j.i)/|
|00001e20| 32 2c 20 45 44 47 45 5f | 41 52 52 4f 57 28 6b 20 |2, EDGE_|ARROW(k |
|00001e30| 2b 20 62 2c 20 67 99 31 | 99 69 2c 20 67 99 31 99 |+ b, g.1|.i, g.1.|
|00001e40| 6a 2c 20 62 29 2c 20 45 | 44 47 45 5f 41 52 52 4f |j, b), E|DGE_ARRO|
|00001e50| 57 28 62 20 2d 20 6b 2c | 20 67 99 31 99 6a 2c 20 |W(b - k,| g.1.j, |
|00001e60| 67 99 31 99 69 2c 20 62 | 29 29 29 2c 20 6b 2c 20 |g.1.i, b|))), k, |
|00001e70| 49 46 28 69 20 3d 20 6a | 2c 20 28 31 20 2d 20 67 |IF(i = j|, (1 - g|
|00001e80| 99 32 99 69 99 6a 29 2f | 32 2c 20 28 31 20 2d 20 |.2.i.j)/|2, (1 - |
|00001e90| 67 99 32 99 69 99 6a 20 | 2b 20 2d 20 67 99 32 99 |g.2.i.j |+ - g.2.|
|00001ea0| 6a 99 69 29 2f 32 29 2c | 20 49 46 28 69 20 3d 20 |j.i)/2),| IF(i = |
|00001eb0| 6a 2c 20 28 67 99 32 99 | 69 99 6a 20 2d 20 31 29 |j, (g.2.|i.j - 1)|
|00001ec0| 2f 32 2c 20 28 67 99 32 | 99 69 99 6a 20 2b 20 67 |/2, (g.2|.i.j + g|
|00001ed0| 99 32 99 6a 99 69 20 2b | 20 2d 31 29 2f 32 29 29 |.2.j.i +| -1)/2))|
|00001ee0| 2c 20 6a 2c 20 69 2c 20 | 44 49 4d 28 67 99 32 29 |, j, i, |DIM(g.2)|
|00001ef0| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 67 99 32 |), i, 1,| DIM(g.2|
|00001f00| 29 29 29 29 29 29 5d 29 | 0d 0a 44 52 41 57 44 49 |))))))])|..DRAWDI|
|00001f10| 5f 4d 42 41 28 67 2c 20 | 62 2c 20 73 29 3a 3d 41 |_MBA(g, |b, s):=A|
|00001f20| 50 50 52 4f 58 28 5b 56 | 45 43 54 4f 52 28 5b 67 |PPROX([V|ECTOR([g|
|00001f30| 99 31 99 69 5d 2c 20 69 | 2c 20 31 2c 20 44 49 4d |.1.i], i|, 1, DIM|
|00001f40| 28 67 99 31 29 29 2c 20 | 49 46 28 72 63 5f 73 75 |(g.1)), |IF(rc_su|
|00001f50| 6d 28 67 99 32 29 20 3d | 20 31 2c 20 75 6e 69 5f |m(g.2) =| 1, uni_|
|00001f60| 64 72 61 77 64 69 61 28 | 67 2c 20 62 2c 20 73 29 |drawdia(|g, b, s)|
|00001f70| 2c 20 41 50 50 45 4e 44 | 28 41 50 50 45 4e 44 28 |, APPEND|(APPEND(|
|00001f80| 41 50 50 45 4e 44 28 56 | 45 43 54 4f 52 28 56 45 |APPEND(V|ECTOR(VE|
|00001f90| 43 54 4f 52 28 56 45 43 | 54 4f 52 28 49 46 28 69 |CTOR(VEC|TOR(IF(i|
|00001fa0| 20 3d 20 6a 2c 20 5b 73 | b7 4c 4f 4f 50 5f 41 52 | = j, [s|.LOOP_AR|
|00001fb0| 52 4f 57 28 6b 2c 20 67 | 99 31 99 69 2f 73 2c 20 |ROW(k, g|.1.i/s, |
|00001fc0| 53 49 47 4e 28 6b 20 2b | 20 31 2f 31 30 29 29 5d |SIGN(k +| 1/10))]|
|00001fd0| 2c 20 49 46 28 6b 20 92 | 20 28 31 20 2d 20 67 99 |, IF(k .| (1 - g.|
|00001fe0| 32 99 69 99 6a 20 2b 20 | 67 99 32 99 6a 99 69 29 |2.i.j + |g.2.j.i)|
|00001ff0| 2f 32 2c 20 45 44 47 45 | 5f 41 52 52 4f 57 53 28 |/2, EDGE|_ARROWS(|
|00002000| 6b 20 2b 20 62 2c 20 67 | 99 31 99 69 2c 20 67 99 |k + b, g|.1.i, g.|
|00002010| 31 99 6a 2c 20 62 2c 20 | 73 29 2c 20 45 44 47 45 |1.j, b, |s), EDGE|
|00002020| 5f 41 52 52 4f 57 53 28 | 62 20 2d 20 6b 2c 20 67 |_ARROWS(|b - k, g|
|00002030| 99 31 99 6a 2c 20 67 99 | 31 99 69 2c 20 62 2c 20 |.1.j, g.|1.i, b, |
|00002040| 73 29 29 29 2c 20 6b 2c | 20 49 46 28 69 20 3d 20 |s))), k,| IF(i = |
|00002050| 6a 2c 20 28 31 20 2d 20 | 67 99 32 99 69 99 6a 29 |j, (1 - |g.2.i.j)|
|00002060| 2f 32 2c 20 28 31 20 2d | 20 67 99 32 99 69 99 6a |/2, (1 -| g.2.i.j|
|00002070| 20 2b 20 2d 20 67 99 32 | 99 6a 99 69 29 2f 32 29 | + - g.2|.j.i)/2)|
|00002080| 2c 20 49 46 28 69 20 3d | 20 6a 2c 20 28 67 99 32 |, IF(i =| j, (g.2|
|00002090| 99 69 99 6a 20 2d 20 31 | 29 2f 32 2c 20 28 67 99 |.i.j - 1|)/2, (g.|
|000020a0| 32 99 69 99 6a 20 2b 20 | 67 99 32 99 6a 99 69 20 |2.i.j + |g.2.j.i |
|000020b0| 2b 20 2d 31 29 2f 32 29 | 29 2c 20 6a 2c 20 69 2c |+ -1)/2)|), j, i,|
|000020c0| 20 44 49 4d 28 67 99 32 | 29 29 2c 20 69 2c 20 31 | DIM(g.2|)), i, 1|
|000020d0| 2c 20 44 49 4d 28 67 99 | 32 29 29 29 29 29 29 5d |, DIM(g.|2))))))]|
|000020e0| 29 0d 0a 44 52 41 57 44 | 49 5f 4d 42 4c 28 67 2c |)..DRAWD|I_MBL(g,|
|000020f0| 20 62 2c 20 a9 29 3a 3d | 41 50 50 52 4f 58 28 5b | b, .):=|APPROX([|
|00002100| 56 45 43 54 4f 52 28 5b | 67 99 31 99 69 5d 2c 20 |VECTOR([|g.1.i], |
|00002110| 69 2c 20 31 2c 20 44 49 | 4d 28 67 99 31 29 29 2c |i, 1, DI|M(g.1)),|
|00002120| 20 49 46 28 72 63 5f 73 | 75 6d 28 67 99 32 29 20 | IF(rc_s|um(g.2) |
|00002130| 3d 20 31 2c 20 75 6e 69 | 5f 64 72 61 77 64 69 6c |= 1, uni|_drawdil|
|00002140| 28 67 2c 20 62 2c 20 a9 | 29 2c 20 41 50 50 45 4e |(g, b, .|), APPEN|
|00002150| 44 28 41 50 50 45 4e 44 | 28 41 50 50 45 4e 44 28 |D(APPEND|(APPEND(|
|00002160| 56 45 43 54 4f 52 28 56 | 45 43 54 4f 52 28 56 45 |VECTOR(V|ECTOR(VE|
|00002170| 43 54 4f 52 28 49 46 28 | 69 20 3d 20 6a 2c 20 5b |CTOR(IF(|i = j, [|
|00002180| 4c 4f 4f 50 59 5f 41 52 | 52 4f 57 28 6b 2c 20 67 |LOOPY_AR|ROW(k, g|
|00002190| 99 31 99 69 2c 20 53 49 | 47 4e 28 6b 20 2b 20 31 |.1.i, SI|GN(k + 1|
|000021a0| 2f 31 30 29 2c 20 a9 29 | 5d 2c 20 49 46 28 6b 20 |/10), .)|], IF(k |
|000021b0| 92 20 28 31 20 2d 20 67 | 99 32 99 69 99 6a 20 2b |. (1 - g|.2.i.j +|
|000021c0| 20 67 99 32 99 6a 99 69 | 29 2f 32 2c 20 45 44 47 | g.2.j.i|)/2, EDG|
|000021d0| 45 5f 41 52 52 4f 57 28 | 6b 20 2b 20 62 2c 20 67 |E_ARROW(|k + b, g|
|000021e0| 99 31 99 69 2c 20 67 99 | 31 99 6a 2c 20 62 29 2c |.1.i, g.|1.j, b),|
|000021f0| 20 45 44 47 45 5f 41 52 | 52 4f 57 28 62 20 2d 20 | EDGE_AR|ROW(b - |
|00002200| 6b 2c 20 67 99 31 99 6a | 2c 20 67 99 31 99 69 2c |k, g.1.j|, g.1.i,|
|00002210| 20 62 29 29 29 2c 20 6b | 2c 20 49 46 28 69 20 3d | b))), k|, IF(i =|
|00002220| 20 6a 2c 20 28 31 20 2d | 20 67 99 32 99 69 99 6a | j, (1 -| g.2.i.j|
|00002230| 29 2f 32 2c 20 28 31 20 | 2d 20 67 99 32 99 69 99 |)/2, (1 |- g.2.i.|
|00002240| 6a 20 2b 20 2d 20 67 99 | 32 99 6a 99 69 29 2f 32 |j + - g.|2.j.i)/2|
|00002250| 29 2c 20 49 46 28 69 20 | 3d 20 6a 2c 20 28 67 99 |), IF(i |= j, (g.|
|00002260| 32 99 69 99 6a 20 2d 20 | 31 29 2f 32 2c 20 28 67 |2.i.j - |1)/2, (g|
|00002270| 99 32 99 69 99 6a 20 2b | 20 67 99 32 99 6a 99 69 |.2.i.j +| g.2.j.i|
|00002280| 20 2b 20 2d 31 29 2f 32 | 29 29 2c 20 6a 2c 20 69 | + -1)/2|)), j, i|
|00002290| 2c 20 44 49 4d 28 67 99 | 32 29 29 2c 20 69 2c 20 |, DIM(g.|2)), i, |
|000022a0| 31 2c 20 44 49 4d 28 67 | 99 32 29 29 29 29 29 29 |1, DIM(g|.2))))))|
|000022b0| 5d 29 0d 0a 44 52 41 57 | 4c 49 53 54 28 67 29 3a |])..DRAW|LIST(g):|
|000022c0| 3d 44 52 41 57 5f 4d 28 | 5b 28 41 50 50 52 4f 58 |=DRAW_M(|[(APPROX|
|000022d0| 28 67 29 29 99 31 2c 20 | 41 4d 41 54 4c 49 53 54 |(g)).1, |AMATLIST|
|000022e0| 28 28 41 50 50 52 4f 58 | 28 67 29 29 99 32 29 5d |((APPROX|(g)).2)]|
|000022f0| 29 0d 0a 44 52 41 57 4c | 49 53 54 42 28 67 2c 20 |)..DRAWL|ISTB(g, |
|00002300| 62 29 3a 3d 44 52 41 57 | 5f 4d 42 28 5b 28 41 50 |b):=DRAW|_MB([(AP|
|00002310| 50 52 4f 58 28 67 29 29 | 99 31 2c 20 41 4d 41 54 |PROX(g))|.1, AMAT|
|00002320| 4c 49 53 54 28 28 41 50 | 50 52 4f 58 28 67 29 29 |LIST((AP|PROX(g))|
|00002330| 99 32 29 5d 2c 20 62 29 | 0d 0a 44 52 41 57 4c 49 |.2)], b)|..DRAWLI|
|00002340| 53 54 42 4c 28 67 2c 20 | 62 2c 20 a9 29 3a 3d 44 |STBL(g, |b, .):=D|
|00002350| 52 41 57 5f 4d 42 4c 28 | 5b 28 41 50 50 52 4f 58 |RAW_MBL(|[(APPROX|
|00002360| 28 67 29 29 99 31 2c 20 | 41 4d 41 54 4c 49 53 54 |(g)).1, |AMATLIST|
|00002370| 28 28 41 50 50 52 4f 58 | 28 67 29 29 99 32 29 5d |((APPROX|(g)).2)]|
|00002380| 2c 20 62 2c 20 a9 29 0d | 0a 44 52 41 57 4c 49 53 |, b, .).|.DRAWLIS|
|00002390| 54 44 44 49 28 67 29 3a | 3d 44 52 41 57 44 44 49 |TDDI(g):|=DRAWDDI|
|000023a0| 42 28 5b 28 41 50 50 52 | 4f 58 28 67 29 29 99 31 |B([(APPR|OX(g)).1|
|000023b0| 2c 20 41 4d 41 54 4c 49 | 53 54 28 28 41 50 50 52 |, AMATLI|ST((APPR|
|000023c0| 4f 58 28 67 29 29 99 32 | 29 5d 2c 20 30 29 0d 0a |OX(g)).2|)], 0)..|
|000023d0| 44 52 41 57 4c 49 53 54 | 44 49 28 67 29 3a 3d 44 |DRAWLIST|DI(g):=D|
|000023e0| 52 41 57 44 49 5f 4d 28 | 5b 28 41 50 50 52 4f 58 |RAWDI_M(|[(APPROX|
|000023f0| 28 67 29 29 99 31 2c 20 | 41 4d 41 54 4c 49 53 54 |(g)).1, |AMATLIST|
|00002400| 28 28 41 50 50 52 4f 58 | 28 67 29 29 99 32 29 5d |((APPROX|(g)).2)]|
|00002410| 29 0d 0a 44 52 41 57 4c | 49 53 54 44 49 42 28 67 |)..DRAWL|ISTDIB(g|
|00002420| 2c 20 62 29 3a 3d 44 52 | 41 57 44 49 5f 4d 42 28 |, b):=DR|AWDI_MB(|
|00002430| 5b 28 41 50 50 52 4f 58 | 28 67 29 29 99 31 2c 20 |[(APPROX|(g)).1, |
|00002440| 41 4d 41 54 4c 49 53 54 | 28 28 41 50 50 52 4f 58 |AMATLIST|((APPROX|
|00002450| 28 67 29 29 99 32 29 5d | 2c 20 62 29 0d 0a 44 52 |(g)).2)]|, b)..DR|
|00002460| 41 57 4c 49 53 54 44 49 | 42 4c 28 67 2c 20 62 2c |AWLISTDI|BL(g, b,|
|00002470| 20 a9 29 3a 3d 44 52 41 | 57 44 49 5f 4d 42 4c 28 | .):=DRA|WDI_MBL(|
|00002480| 5b 28 41 50 50 52 4f 58 | 28 67 29 29 99 31 2c 20 |[(APPROX|(g)).1, |
|00002490| 41 4d 41 54 4c 49 53 54 | 28 28 41 50 50 52 4f 58 |AMATLIST|((APPROX|
|000024a0| 28 67 29 29 99 32 29 5d | 2c 20 62 2c 20 a9 29 0d |(g)).2)]|, b, .).|
|000024b0| 0a 44 52 41 57 53 55 42 | 28 67 29 3a 3d 44 52 41 |.DRAWSUB|(g):=DRA|
|000024c0| 57 28 5b 56 45 43 54 4f | 52 28 55 5f 99 28 67 99 |W([VECTO|R(U_.(g.|
|000024d0| 31 99 69 29 2c 20 69 2c | 20 31 2c 20 44 49 4d 28 |1.i), i,| 1, DIM(|
|000024e0| 67 99 31 29 29 2c 20 28 | 41 53 55 42 5f 47 28 55 |g.1)), (|ASUB_G(U|
|000024f0| 5f 2c 20 67 29 29 20 52 | 4f 57 20 28 67 99 31 29 |_, g)) R|OW (g.1)|
|00002500| 20 43 4f 4c 20 28 67 99 | 31 29 5d 29 0d 0a 44 52 | COL (g.|1)])..DR|
|00002510| 41 57 53 55 42 44 49 28 | 67 29 3a 3d 44 52 41 57 |AWSUBDI(|g):=DRAW|
|00002520| 44 49 28 5b 56 45 43 54 | 4f 52 28 55 5f 99 28 67 |DI([VECT|OR(U_.(g|
|00002530| 99 31 99 69 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |.1.i), i|, 1, DIM|
|00002540| 28 67 99 31 29 29 2c 20 | 28 41 53 55 42 44 49 5f |(g.1)), |(ASUBDI_|
|00002550| 47 28 55 5f 2c 20 67 29 | 29 20 52 4f 57 20 28 67 |G(U_, g)|) ROW (g|
|00002560| 99 31 29 20 43 4f 4c 20 | 28 67 99 31 29 5d 29 0d |.1) COL |(g.1)]).|
|00002570| 0a 44 52 41 57 5f 45 28 | 67 29 3a 3d 44 52 41 57 |.DRAW_E(|g):=DRAW|
|00002580| 5f 45 42 28 67 2c 20 30 | 29 0d 0a 44 52 41 57 5f |_EB(g, 0|)..DRAW_|
|00002590| 45 42 28 67 2c 20 62 29 | 3a 3d 41 50 50 52 4f 58 |EB(g, b)|:=APPROX|
|000025a0| 28 5b 56 45 43 54 4f 52 | 28 5b 67 99 31 99 69 5d |([VECTOR|([g.1.i]|
|000025b0| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 67 99 31 29 |, i, 1, |DIM(g.1)|
|000025c0| 29 2c 20 56 45 43 54 4f | 52 28 49 46 28 67 99 32 |), VECTO|R(IF(g.2|
|000025d0| 99 69 99 31 20 3d 20 67 | 99 32 99 69 99 32 2c 20 |.i.1 = g|.2.i.2, |
|000025e0| 4c 4f 4f 50 5f 28 30 2c | 20 45 4c 45 4d 45 4e 54 |LOOP_(0,| ELEMENT|
|000025f0| 28 67 99 31 2c 20 67 99 | 32 99 69 99 31 29 29 2c |(g.1, g.|2.i.1)),|
|00002600| 20 45 44 47 45 5f 28 62 | 2c 20 45 4c 45 4d 45 4e | EDGE_(b|, ELEMEN|
|00002610| 54 28 67 99 31 2c 20 67 | 99 32 99 69 99 31 29 2c |T(g.1, g|.2.i.1),|
|00002620| 20 45 4c 45 4d 45 4e 54 | 28 67 99 31 2c 20 67 99 | ELEMENT|(g.1, g.|
|00002630| 32 99 69 99 32 29 29 29 | 2c 20 69 2c 20 31 2c 20 |2.i.2)))|, i, 1, |
|00002640| 44 49 4d 28 67 99 32 29 | 29 5d 29 0d 0a 44 52 41 |DIM(g.2)|)])..DRA|
|00002650| 57 5f 45 42 4c 28 67 2c | 20 62 2c 20 a9 29 3a 3d |W_EBL(g,| b, .):=|
|00002660| 41 50 50 52 4f 58 28 5b | 56 45 43 54 4f 52 28 5b |APPROX([|VECTOR([|
|00002670| 67 99 31 99 69 5d 2c 20 | 69 2c 20 31 2c 20 44 49 |g.1.i], |i, 1, DI|
|00002680| 4d 28 67 99 31 29 29 2c | 20 56 45 43 54 4f 52 28 |M(g.1)),| VECTOR(|
|00002690| 49 46 28 67 99 32 99 69 | 99 31 20 3d 20 67 99 32 |IF(g.2.i|.1 = g.2|
|000026a0| 99 69 99 32 2c 20 4c 4f | 4f 50 59 5f 28 30 2c 20 |.i.2, LO|OPY_(0, |
|000026b0| 45 4c 45 4d 45 4e 54 28 | 67 99 31 2c 20 67 99 32 |ELEMENT(|g.1, g.2|
|000026c0| 99 69 99 31 29 2c 20 a9 | 29 2c 20 45 44 47 45 5f |.i.1), .|), EDGE_|
|000026d0| 28 62 2c 20 45 4c 45 4d | 45 4e 54 28 67 99 31 2c |(b, ELEM|ENT(g.1,|
|000026e0| 20 67 99 32 99 69 99 31 | 29 2c 20 45 4c 45 4d 45 | g.2.i.1|), ELEME|
|000026f0| 4e 54 28 67 99 31 2c 20 | 67 99 32 99 69 99 32 29 |NT(g.1, |g.2.i.2)|
|00002700| 29 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 67 99 |)), i, 1|, DIM(g.|
|00002710| 32 29 29 5d 29 0d 0a 44 | 52 41 57 5f 4d 28 67 29 |2))])..D|RAW_M(g)|
|00002720| 3a 3d 44 52 41 57 5f 4d | 42 28 67 2c 20 30 29 0d |:=DRAW_M|B(g, 0).|
|00002730| 0a 44 52 41 57 5f 4d 42 | 28 67 2c 20 62 29 3a 3d |.DRAW_MB|(g, b):=|
|00002740| 49 46 28 67 99 32 20 3d | 20 67 99 32 60 20 8f 20 |IF(g.2 =| g.2` . |
|00002750| 45 56 45 4e 5f 28 67 99 | 32 29 20 3d 20 30 2c 20 |EVEN_(g.|2) = 0, |
|00002760| 41 50 50 52 4f 58 28 5b | 56 45 43 54 4f 52 28 5b |APPROX([|VECTOR([|
|00002770| 67 99 31 99 69 5d 2c 20 | 69 2c 20 31 2c 20 44 49 |g.1.i], |i, 1, DI|
|00002780| 4d 28 67 99 31 29 29 2c | 20 41 50 50 45 4e 44 28 |M(g.1)),| APPEND(|
|00002790| 41 50 50 45 4e 44 28 56 | 45 43 54 4f 52 28 56 45 |APPEND(V|ECTOR(VE|
|000027a0| 43 54 4f 52 28 49 46 28 | 69 20 3d 20 6a 2c 20 56 |CTOR(IF(|i = j, V|
|000027b0| 45 43 54 4f 52 28 4c 4f | 4f 50 5f 28 6b 2c 20 67 |ECTOR(LO|OP_(k, g|
|000027c0| 99 31 99 69 29 2c 20 6b | 2c 20 28 32 20 2d 20 67 |.1.i), k|, (2 - g|
|000027d0| 99 32 99 69 99 6a 29 2f | 34 2c 20 28 67 99 32 99 |.2.i.j)/|4, (g.2.|
|000027e0| 69 99 6a 20 2d 20 32 29 | 2f 34 29 2c 20 56 45 43 |i.j - 2)|/4), VEC|
|000027f0| 54 4f 52 28 45 44 47 45 | 5f 28 6b 20 2b 20 62 2c |TOR(EDGE|_(k + b,|
|00002800| 20 67 99 31 99 69 2c 20 | 67 99 31 99 6a 29 2c 20 | g.1.i, |g.1.j), |
|00002810| 6b 2c 20 28 31 20 2d 20 | 67 99 32 99 69 99 6a 29 |k, (1 - |g.2.i.j)|
|00002820| 2f 32 2c 20 28 67 99 32 | 99 69 99 6a 20 2d 20 31 |/2, (g.2|.i.j - 1|
|00002830| 29 2f 32 29 29 2c 20 6a | 2c 20 69 2c 20 44 49 4d |)/2)), j|, i, DIM|
|00002840| 28 67 99 32 29 29 2c 20 | 69 2c 20 31 2c 20 44 49 |(g.2)), |i, 1, DI|
|00002850| 4d 28 67 99 32 29 29 29 | 29 5d 29 2c 20 22 41 64 |M(g.2)))|)]), "Ad|
|00002860| 6a 61 63 65 6e 63 79 20 | 6d 61 74 72 69 78 20 69 |jacency |matrix i|
|00002870| 73 20 6e 6f 74 20 73 75 | 69 74 61 62 6c 65 22 29 |s not su|itable")|
|00002880| 0d 0a 44 52 41 57 5f 4d | 42 4c 28 67 2c 20 62 2c |..DRAW_M|BL(g, b,|
|00002890| 20 a9 29 3a 3d 49 46 28 | 67 99 32 20 3d 20 67 99 | .):=IF(|g.2 = g.|
|000028a0| 32 60 20 8f 20 45 56 45 | 4e 5f 28 67 99 32 29 20 |2` . EVE|N_(g.2) |
|000028b0| 3d 20 30 2c 20 41 50 50 | 52 4f 58 28 5b 56 45 43 |= 0, APP|ROX([VEC|
|000028c0| 54 4f 52 28 5b 67 99 31 | 99 69 5d 2c 20 69 2c 20 |TOR([g.1|.i], i, |
|000028d0| 31 2c 20 44 49 4d 28 67 | 99 31 29 29 2c 20 41 50 |1, DIM(g|.1)), AP|
|000028e0| 50 45 4e 44 28 41 50 50 | 45 4e 44 28 56 45 43 54 |PEND(APP|END(VECT|
|000028f0| 4f 52 28 56 45 43 54 4f | 52 28 49 46 28 69 20 3d |OR(VECTO|R(IF(i =|
|00002900| 20 6a 2c 20 56 45 43 54 | 4f 52 28 4c 4f 4f 50 59 | j, VECT|OR(LOOPY|
|00002910| 5f 28 6b 2c 20 67 99 31 | 99 69 2c 20 a9 29 2c 20 |_(k, g.1|.i, .), |
|00002920| 6b 2c 20 28 32 20 2d 20 | 67 99 32 99 69 99 6a 29 |k, (2 - |g.2.i.j)|
|00002930| 2f 34 2c 20 28 67 99 32 | 99 69 99 6a 20 2d 20 32 |/4, (g.2|.i.j - 2|
|00002940| 29 2f 34 29 2c 20 56 45 | 43 54 4f 52 28 45 44 47 |)/4), VE|CTOR(EDG|
|00002950| 45 5f 28 6b 20 2b 20 62 | 2c 20 67 99 31 99 69 2c |E_(k + b|, g.1.i,|
|00002960| 20 67 99 31 99 6a 29 2c | 20 6b 2c 20 28 31 20 2d | g.1.j),| k, (1 -|
|00002970| 20 67 99 32 99 69 99 6a | 29 2f 32 2c 20 28 67 99 | g.2.i.j|)/2, (g.|
|00002980| 32 99 69 99 6a 20 2d 20 | 31 29 2f 32 29 29 2c 20 |2.i.j - |1)/2)), |
|00002990| 6a 2c 20 69 2c 20 44 49 | 4d 28 67 99 32 29 29 2c |j, i, DI|M(g.2)),|
|000029a0| 20 69 2c 20 31 2c 20 44 | 49 4d 28 67 99 32 29 29 | i, 1, D|IM(g.2))|
|000029b0| 29 29 5d 29 2c 20 22 41 | 64 6a 61 63 65 6e 63 79 |))]), "A|djacency|
|000029c0| 20 6d 61 74 72 69 78 20 | 69 73 20 6e 6f 74 20 73 | matrix |is not s|
|000029d0| 75 69 74 61 62 6c 65 22 | 29 0d 0a 44 53 55 42 28 |uitable"|)..DSUB(|
|000029e0| 67 29 3a 3d 44 52 41 57 | 28 5b 56 45 43 54 4f 52 |g):=DRAW|([VECTOR|
|000029f0| 28 55 5f 99 28 67 99 31 | 99 69 29 2c 20 69 2c 20 |(U_.(g.1|.i), i, |
|00002a00| 31 2c 20 44 49 4d 28 67 | 99 31 29 29 2c 20 28 41 |1, DIM(g|.1)), (A|
|00002a10| 53 55 42 5f 47 28 55 5f | 2c 20 67 29 29 20 52 4f |SUB_G(U_|, g)) RO|
|00002a20| 57 20 28 67 99 31 29 20 | 43 4f 4c 20 28 67 99 31 |W (g.1) |COL (g.1|
|00002a30| 29 5d 29 0d 0a 44 53 55 | 42 44 49 28 67 29 3a 3d |)])..DSU|BDI(g):=|
|00002a40| 44 52 41 57 44 49 28 5b | 56 45 43 54 4f 52 28 55 |DRAWDI([|VECTOR(U|
|00002a50| 5f 99 28 67 99 31 99 69 | 29 2c 20 69 2c 20 31 2c |_.(g.1.i|), i, 1,|
|00002a60| 20 44 49 4d 28 67 99 31 | 29 29 2c 20 28 41 53 55 | DIM(g.1|)), (ASU|
|00002a70| 42 44 49 5f 47 28 55 5f | 2c 20 67 29 29 20 52 4f |BDI_G(U_|, g)) RO|
|00002a80| 57 20 28 67 99 31 29 20 | 43 4f 4c 20 28 67 99 31 |W (g.1) |COL (g.1|
|00002a90| 29 5d 29 0d 0a 44 53 55 | 42 44 49 5f 45 28 67 29 |)])..DSU|BDI_E(g)|
|00002aa0| 3a 3d 44 52 41 57 44 49 | 28 5b 56 45 43 54 4f 52 |:=DRAWDI|([VECTOR|
|00002ab0| 28 55 5f 99 28 67 99 31 | 99 69 29 2c 20 69 2c 20 |(U_.(g.1|.i), i, |
|00002ac0| 31 2c 20 44 49 4d 28 67 | 99 31 29 29 2c 20 28 41 |1, DIM(g|.1)), (A|
|00002ad0| 53 55 42 44 49 28 55 5f | 2c 20 28 41 50 50 52 4f |SUBDI(U_|, (APPRO|
|00002ae0| 58 28 67 29 29 99 32 29 | 29 20 52 4f 57 20 28 67 |X(g)).2)|) ROW (g|
|00002af0| 99 31 29 20 43 4f 4c 20 | 28 67 99 31 29 5d 29 0d |.1) COL |(g.1)]).|
|00002b00| 0a 44 53 55 42 5f 45 28 | 67 29 3a 3d 44 52 41 57 |.DSUB_E(|g):=DRAW|
|00002b10| 28 5b 56 45 43 54 4f 52 | 28 55 5f 99 28 67 99 31 |([VECTOR|(U_.(g.1|
|00002b20| 99 69 29 2c 20 69 2c 20 | 31 2c 20 44 49 4d 28 67 |.i), i, |1, DIM(g|
|00002b30| 99 31 29 29 2c 20 28 41 | 53 55 42 28 55 5f 2c 20 |.1)), (A|SUB(U_, |
|00002b40| 28 41 50 50 52 4f 58 28 | 67 29 29 99 32 29 29 20 |(APPROX(|g)).2)) |
|00002b50| 52 4f 57 20 28 67 99 31 | 29 20 43 4f 4c 20 28 67 |ROW (g.1|) COL (g|
|00002b60| 99 31 29 5d 29 0d 0a 45 | 44 47 45 53 28 61 29 3a |.1)])..E|DGES(a):|
|00002b70| 3d 49 46 28 61 20 3d 20 | 61 60 20 8f 20 45 56 45 |=IF(a = |a` . EVE|
|00002b80| 4e 5f 28 61 29 20 3d 20 | 30 2c 20 41 50 50 45 4e |N_(a) = |0, APPEN|
|00002b90| 44 28 41 50 50 45 4e 44 | 28 56 45 43 54 4f 52 28 |D(APPEND|(VECTOR(|
|00002ba0| 56 45 43 54 4f 52 28 56 | 45 43 54 4f 52 28 5b 69 |VECTOR(V|ECTOR([i|
|00002bb0| 2c 20 6a 5d 2c 20 6b 2c | 20 31 2c 20 49 46 28 69 |, j], k,| 1, IF(i|
|00002bc0| 20 3d 20 6a 2c 20 61 99 | 69 99 6a 2f 32 2c 20 61 | = j, a.|i.j/2, a|
|00002bd0| 99 69 99 6a 29 29 2c 20 | 6a 2c 20 69 2c 20 44 49 |.i.j)), |j, i, DI|
|00002be0| 4d 28 61 29 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |M(a)), i|, 1, DIM|
|00002bf0| 28 61 29 29 29 29 2c 20 | 22 41 64 6a 61 63 65 6e |(a)))), |"Adjacen|
|00002c00| 63 79 20 6d 61 74 72 69 | 78 20 69 73 20 6e 6f 74 |cy matri|x is not|
|00002c10| 20 73 75 69 74 61 62 6c | 65 22 29 0d 0a 45 44 47 | suitabl|e")..EDG|
|00002c20| 45 5f 28 6e 2c 20 70 2c | 20 71 29 3a 3d 49 46 28 |E_(n, p,| q):=IF(|
|00002c30| 6e 20 3d 20 30 2c 20 5b | 70 2c 20 71 5d 2c 20 5b |n = 0, [|p, q], [|
|00002c40| 5b 78 20 2b 20 b9 2c 20 | 28 b9 5e 32 20 2d 20 78 |[x + ., |(.^2 - x|
|00002c50| 5e 32 29 b7 6e 2f 33 30 | 5d b7 52 4f 54 5f 28 49 |^2).n/30|].ROT_(I|
|00002c60| 46 28 70 99 31 20 3d 20 | 71 99 31 2c 20 53 49 47 |F(p.1 = |q.1, SIG|
|00002c70| 4e 28 71 99 32 20 2d 20 | 70 99 32 29 b7 b9 2f 32 |N(q.2 - |p.2)../2|
|00002c80| 2c 20 41 54 41 4e 28 28 | 71 99 32 20 2d 20 70 99 |, ATAN((|q.2 - p.|
|00002c90| 32 29 2f 28 71 99 31 20 | 2d 20 70 99 31 29 29 20 |2)/(q.1 |- p.1)) |
|00002ca0| 2b 20 49 46 28 71 99 31 | 20 2d 20 70 99 31 20 3c |+ IF(q.1| - p.1 <|
|00002cb0| 20 30 2c 20 b9 2c 20 30 | 29 29 29 b7 8b 28 28 70 | 0, ., 0|)))..((p|
|00002cc0| 99 31 20 2d 20 71 99 31 | 29 5e 32 20 2b 20 28 70 |.1 - q.1|)^2 + (p|
|00002cd0| 99 32 20 2d 20 71 99 32 | 29 5e 32 29 2f 28 32 b7 |.2 - q.2|)^2)/(2.|
|00002ce0| b9 29 20 2b 20 70 5d 29 | 0d 0a 45 44 47 45 5f 41 |.) + p])|..EDGE_A|
|00002cf0| 52 52 4f 57 28 6e 2c 20 | 70 2c 20 71 2c 20 62 29 |RROW(n, |p, q, b)|
|00002d00| 3a 3d 41 50 50 45 4e 44 | 28 5b 45 44 47 45 5f 28 |:=APPEND|([EDGE_(|
|00002d10| 6e 2c 20 70 2c 20 71 29 | 3b 20 41 52 52 4f 57 5f |n, p, q)|; ARROW_|
|00002d20| 28 6e 2c 20 70 2c 20 71 | 2c 20 62 29 5d 29 0d 0a |(n, p, q|, b)])..|
|00002d30| 45 44 47 45 5f 41 52 52 | 4f 57 53 28 6e 2c 20 70 |EDGE_ARR|OWS(n, p|
|00002d40| 2c 20 71 2c 20 62 2c 20 | 73 29 3a 3d 41 50 50 45 |, q, b, |s):=APPE|
|00002d50| 4e 44 28 5b 45 44 47 45 | 5f 28 6e 2c 20 70 2c 20 |ND([EDGE|_(n, p, |
|00002d60| 71 29 3b 20 73 b7 41 52 | 52 4f 57 5f 28 6e 2c 20 |q); s.AR|ROW_(n, |
|00002d70| 70 2f 73 2c 20 71 2f 73 | 2c 20 62 29 5d 29 0d 0a |p/s, q/s|, b)])..|
|00002d80| 45 56 45 4e 5f 28 61 29 | 3a 3d a4 28 4d 4f 44 28 |EVEN_(a)|:=.(MOD(|
|00002d90| 61 99 69 99 69 2c 20 32 | 29 2c 20 69 2c 20 31 2c |a.i.i, 2|), i, 1,|
|00002da0| 20 44 49 4d 28 61 29 29 | 0d 0a 45 58 50 41 4e 28 | DIM(a))|..EXPAN(|
|00002db0| 75 2c 20 67 29 3a 3d 56 | 45 43 54 4f 52 28 49 46 |u, g):=V|ECTOR(IF|
|00002dc0| 28 4d 45 4d 42 45 52 3f | 28 69 2c 20 67 99 31 29 |(MEMBER?|(i, g.1)|
|00002dd0| 2c 20 67 99 32 99 49 4e | 44 45 58 28 69 2c 20 67 |, g.2.IN|DEX(i, g|
|00002de0| 99 31 29 2c 20 56 45 43 | 54 4f 52 28 30 2c 20 6b |.1), VEC|TOR(0, k|
|00002df0| 2c 20 31 2c 20 44 49 4d | 28 67 99 32 29 29 29 2c |, 1, DIM|(g.2))),|
|00002e00| 20 69 2c 20 31 2c 20 44 | 49 4d 28 75 29 29 60 0d | i, 1, D|IM(u))`.|
|00002e10| 0a 45 58 50 5f 28 75 2c | 20 67 29 3a 3d 56 45 43 |.EXP_(u,| g):=VEC|
|00002e20| 54 4f 52 28 49 46 28 4d | 45 4d 42 45 52 3f 28 6a |TOR(IF(M|EMBER?(j|
|00002e30| 2c 20 67 99 31 29 2c 20 | 28 45 58 50 41 4e 28 75 |, g.1), |(EXPAN(u|
|00002e40| 2c 20 67 29 29 99 49 4e | 44 45 58 28 6a 2c 20 67 |, g)).IN|DEX(j, g|
|00002e50| 99 31 29 2c 20 56 45 43 | 54 4f 52 28 30 2c 20 6b |.1), VEC|TOR(0, k|
|00002e60| 2c 20 31 2c 20 44 49 4d | 28 55 5f 29 29 29 2c 20 |, 1, DIM|(U_))), |
|00002e70| 6a 2c 20 31 2c 20 44 49 | 4d 28 75 29 29 60 0d 0a |j, 1, DI|M(u))`..|
|00002e80| 47 53 55 4d 53 28 76 29 | 3a 3d 28 53 55 4d 5f 53 |GSUMS(v)|:=(SUM_S|
|00002e90| 28 76 2c 20 44 49 4d 28 | 76 29 20 2d 20 31 29 29 |(v, DIM(|v) - 1))|
|00002ea0| 99 31 0d 0a 47 53 55 4d | 53 44 49 28 76 29 3a 3d |.1..GSUM|SDI(v):=|
|00002eb0| 28 53 55 4d 44 49 5f 53 | 28 76 2c 20 44 49 4d 28 |(SUMDI_S|(v, DIM(|
|00002ec0| 76 29 20 2d 20 31 29 29 | 99 31 0d 0a 49 43 49 53 |v) - 1))|.1..ICIS|
|00002ed0| 55 42 53 28 76 29 3a 3d | 49 4e 54 45 52 53 28 56 |UBS(v):=|INTERS(V|
|00002ee0| 45 43 54 4f 52 28 43 49 | 53 55 42 28 76 99 69 29 |ECTOR(CI|SUB(v.i)|
|00002ef0| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 76 29 29 29 |, i, 1, |DIM(v)))|
|00002f00| 0d 0a 49 43 49 53 55 42 | 53 44 49 28 76 29 3a 3d |..ICISUB|SDI(v):=|
|00002f10| 49 4e 54 45 52 53 44 49 | 28 56 45 43 54 4f 52 28 |INTERSDI|(VECTOR(|
|00002f20| 43 49 53 55 42 28 76 99 | 69 29 2c 20 69 2c 20 31 |CISUB(v.|i), i, 1|
|00002f30| 2c 20 44 49 4d 28 76 29 | 29 29 0d 0a 49 43 59 53 |, DIM(v)|))..ICYS|
|00002f40| 55 42 53 28 76 29 3a 3d | 49 4e 54 45 52 53 28 56 |UBS(v):=|INTERS(V|
|00002f50| 45 43 54 4f 52 28 43 59 | 53 55 42 28 76 99 69 29 |ECTOR(CY|SUB(v.i)|
|00002f60| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 76 29 29 29 |, i, 1, |DIM(v)))|
|00002f70| 0d 0a 49 43 59 53 55 42 | 53 44 49 28 76 29 3a 3d |..ICYSUB|SDI(v):=|
|00002f80| 49 4e 54 45 52 53 44 49 | 28 56 45 43 54 4f 52 28 |INTERSDI|(VECTOR(|
|00002f90| 43 59 53 55 42 28 76 99 | 69 29 2c 20 69 2c 20 31 |CYSUB(v.|i), i, 1|
|00002fa0| 2c 20 44 49 4d 28 76 29 | 29 29 0d 0a 49 4b 53 55 |, DIM(v)|))..IKSU|
|00002fb0| 42 53 28 76 29 3a 3d 49 | 4e 54 45 52 53 28 56 45 |BS(v):=I|NTERS(VE|
|00002fc0| 43 54 4f 52 28 4b 53 55 | 42 28 76 99 69 29 2c 20 |CTOR(KSU|B(v.i), |
|00002fd0| 69 2c 20 31 2c 20 44 49 | 4d 28 76 29 29 29 0d 0a |i, 1, DI|M(v)))..|
|00002fe0| 49 4b 53 55 42 53 44 49 | 28 76 29 3a 3d 49 4e 54 |IKSUBSDI|(v):=INT|
|00002ff0| 45 52 53 44 49 28 56 45 | 43 54 4f 52 28 4b 53 55 |ERSDI(VE|CTOR(KSU|
|00003000| 42 28 76 99 69 29 2c 20 | 69 2c 20 31 2c 20 44 49 |B(v.i), |i, 1, DI|
|00003010| 4d 28 76 29 29 29 0d 0a | 49 4e 44 45 58 28 69 2c |M(v)))..|INDEX(i,|
|00003020| 20 76 29 3a 3d 49 54 45 | 52 41 54 45 28 49 46 28 | v):=ITE|RATE(IF(|
|00003030| 41 42 53 28 69 20 2d 20 | 76 99 6a 29 20 3d 20 30 |ABS(i - |v.j) = 0|
|00003040| 2c 20 6a 2c 20 6a 20 2b | 20 31 29 2c 20 6a 2c 20 |, j, j +| 1), j, |
|00003050| 31 2c 20 44 49 4d 28 76 | 29 29 0d 0a 49 4e 54 45 |1, DIM(v|))..INTE|
|00003060| 52 53 28 76 29 3a 3d 28 | 49 4e 54 45 52 5f 53 28 |RS(v):=(|INTER_S(|
|00003070| 76 2c 20 44 49 4d 28 76 | 29 20 2d 20 31 29 29 99 |v, DIM(v|) - 1)).|
|00003080| 31 0d 0a 49 4e 54 45 52 | 53 44 49 28 76 29 3a 3d |1..INTER|SDI(v):=|
|00003090| 28 49 4e 54 45 52 5f 53 | 44 49 28 76 2c 20 44 49 |(INTER_S|DI(v, DI|
|000030a0| 4d 28 76 29 20 2d 20 31 | 29 29 99 31 0d 0a 49 4e |M(v) - 1|)).1..IN|
|000030b0| 54 45 52 5f 53 28 76 2c | 20 6e 29 3a 3d 49 54 45 |TER_S(v,| n):=ITE|
|000030c0| 52 41 54 45 28 5b 49 4e | 54 53 55 42 28 78 99 31 |RATE([IN|TSUB(x.1|
|000030d0| 2c 20 76 99 28 78 99 32 | 29 29 2c 20 78 99 32 20 |, v.(x.2|)), x.2 |
|000030e0| 2b 20 31 5d 2c 20 78 2c | 20 5b 76 99 31 2c 20 32 |+ 1], x,| [v.1, 2|
|000030f0| 5d 2c 20 6e 29 0d 0a 49 | 4e 54 45 52 5f 53 44 49 |], n)..I|NTER_SDI|
|00003100| 28 76 2c 20 6e 29 3a 3d | 49 54 45 52 41 54 45 28 |(v, n):=|ITERATE(|
|00003110| 5b 49 4e 54 53 55 42 44 | 49 28 78 99 31 2c 20 76 |[INTSUBD|I(x.1, v|
|00003120| 99 28 78 99 32 29 29 2c | 20 78 99 32 20 2b 20 31 |.(x.2)),| x.2 + 1|
|00003130| 5d 2c 20 78 2c 20 5b 76 | 99 31 2c 20 32 5d 2c 20 |], x, [v|.1, 2], |
|00003140| 6e 29 0d 0a 49 4e 54 53 | 55 42 28 67 2c 20 68 29 |n)..INTS|UB(g, h)|
|00003150| 3a 3d 5b 49 4e 54 5f 28 | 67 99 31 2c 20 68 99 31 |:=[INT_(|g.1, h.1|
|00003160| 29 2c 20 28 41 4d 49 4e | 5f 28 41 53 55 42 5f 47 |), (AMIN|_(ASUB_G|
|00003170| 28 55 5f 2c 20 67 29 2c | 20 41 53 55 42 5f 47 28 |(U_, g),| ASUB_G(|
|00003180| 55 5f 2c 20 68 29 29 29 | 20 52 4f 57 20 49 4e 54 |U_, h)))| ROW INT|
|00003190| 5f 28 67 99 31 2c 20 68 | 99 31 29 20 43 4f 4c 20 |_(g.1, h|.1) COL |
|000031a0| 49 4e 54 5f 28 67 99 31 | 2c 20 68 99 31 29 5d 0d |INT_(g.1|, h.1)].|
|000031b0| 0a 49 4e 54 53 55 42 44 | 49 28 67 2c 20 68 29 3a |.INTSUBD|I(g, h):|
|000031c0| 3d 5b 49 4e 54 5f 28 67 | 99 31 2c 20 68 99 31 29 |=[INT_(g|.1, h.1)|
|000031d0| 2c 20 28 41 4d 49 4e 5f | 28 41 53 55 42 44 49 5f |, (AMIN_|(ASUBDI_|
|000031e0| 47 28 55 5f 2c 20 67 29 | 2c 20 41 53 55 42 44 49 |G(U_, g)|, ASUBDI|
|000031f0| 5f 47 28 55 5f 2c 20 68 | 29 29 29 20 52 4f 57 20 |_G(U_, h|))) ROW |
|00003200| 49 4e 54 5f 28 67 99 31 | 2c 20 68 99 31 29 20 43 |INT_(g.1|, h.1) C|
|00003210| 4f 4c 20 49 4e 54 5f 28 | 67 99 31 2c 20 68 99 31 |OL INT_(|g.1, h.1|
|00003220| 29 5d 0d 0a 49 4e 54 5f | 28 75 2c 20 76 29 3a 3d |)]..INT_|(u, v):=|
|00003230| 41 50 50 45 4e 44 28 56 | 45 43 54 4f 52 28 49 46 |APPEND(V|ECTOR(IF|
|00003240| 28 4d 45 4d 42 45 52 3f | 28 69 2c 20 75 29 20 8f |(MEMBER?|(i, u) .|
|00003250| 20 4d 45 4d 42 45 52 3f | 28 69 2c 20 76 29 2c 20 | MEMBER?|(i, v), |
|00003260| 5b 69 5d 2c 20 5b 5d 29 | 2c 20 69 2c 20 31 2c 20 |[i], [])|, i, 1, |
|00003270| 4d 41 58 28 41 50 50 45 | 4e 44 28 75 2c 20 76 29 |MAX(APPE|ND(u, v)|
|00003280| 29 29 29 0d 0a 49 4e 56 | 5f 28 70 29 3a 3d 56 45 |)))..INV|_(p):=VE|
|00003290| 43 54 4f 52 28 49 4e 44 | 45 58 28 69 2c 20 70 29 |CTOR(IND|EX(i, p)|
|000032a0| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 70 29 29 0d |, i, 1, |DIM(p)).|
|000032b0| 0a 49 4f 53 55 42 53 44 | 49 28 76 29 3a 3d 49 4e |.IOSUBSD|I(v):=IN|
|000032c0| 54 45 52 53 44 49 28 56 | 45 43 54 4f 52 28 54 4f |TERSDI(V|ECTOR(TO|
|000032d0| 53 55 42 28 76 99 69 29 | 2c 20 69 2c 20 31 2c 20 |SUB(v.i)|, i, 1, |
|000032e0| 44 49 4d 28 76 29 29 29 | 0d 0a 49 50 53 55 42 53 |DIM(v)))|..IPSUBS|
|000032f0| 28 76 29 3a 3d 49 4e 54 | 45 52 53 28 56 45 43 54 |(v):=INT|ERS(VECT|
|00003300| 4f 52 28 50 53 55 42 28 | 76 99 69 29 2c 20 69 2c |OR(PSUB(|v.i), i,|
|00003310| 20 31 2c 20 44 49 4d 28 | 76 29 29 29 0d 0a 49 50 | 1, DIM(|v)))..IP|
|00003320| 53 55 42 53 44 49 28 76 | 29 3a 3d 49 4e 54 45 52 |SUBSDI(v|):=INTER|
|00003330| 53 44 49 28 56 45 43 54 | 4f 52 28 50 53 55 42 28 |SDI(VECT|OR(PSUB(|
|00003340| 76 99 69 29 2c 20 69 2c | 20 31 2c 20 44 49 4d 28 |v.i), i,| 1, DIM(|
|00003350| 76 29 29 29 0d 0a 49 54 | 4f 53 55 42 53 28 76 29 |v)))..IT|OSUBS(v)|
|00003360| 3a 3d 49 4e 54 45 52 53 | 28 56 45 43 54 4f 52 28 |:=INTERS|(VECTOR(|
|00003370| 54 4f 53 55 42 28 76 99 | 69 29 2c 20 69 2c 20 31 |TOSUB(v.|i), i, 1|
|00003380| 2c 20 44 49 4d 28 76 29 | 29 29 0d 0a 49 54 52 53 |, DIM(v)|))..ITRS|
|00003390| 55 42 53 28 76 29 3a 3d | 49 4e 54 45 52 53 28 56 |UBS(v):=|INTERS(V|
|000033a0| 45 43 54 4f 52 28 54 52 | 53 55 42 28 76 99 69 29 |ECTOR(TR|SUB(v.i)|
|000033b0| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 76 29 29 29 |, i, 1, |DIM(v)))|
|000033c0| 0d 0a 49 54 52 53 55 42 | 53 44 49 28 76 29 3a 3d |..ITRSUB|SDI(v):=|
|000033d0| 49 4e 54 45 52 53 44 49 | 28 56 45 43 54 4f 52 28 |INTERSDI|(VECTOR(|
|000033e0| 54 52 53 55 42 28 76 99 | 69 29 2c 20 69 2c 20 31 |TRSUB(v.|i), i, 1|
|000033f0| 2c 20 44 49 4d 28 76 29 | 29 29 0d 0a 49 57 53 55 |, DIM(v)|))..IWSU|
|00003400| 42 53 28 76 29 3a 3d 49 | 4e 54 45 52 53 28 56 45 |BS(v):=I|NTERS(VE|
|00003410| 43 54 4f 52 28 57 53 55 | 42 28 76 99 69 29 2c 20 |CTOR(WSU|B(v.i), |
|00003420| 69 2c 20 31 2c 20 44 49 | 4d 28 76 29 29 29 0d 0a |i, 1, DI|M(v)))..|
|00003430| 49 57 53 55 42 53 44 49 | 28 76 29 3a 3d 49 4e 54 |IWSUBSDI|(v):=INT|
|00003440| 45 52 53 44 49 28 56 45 | 43 54 4f 52 28 57 53 55 |ERSDI(VE|CTOR(WSU|
|00003450| 42 28 76 99 69 29 2c 20 | 69 2c 20 31 2c 20 44 49 |B(v.i), |i, 1, DI|
|00003460| 4d 28 76 29 29 29 0d 0a | 49 5f 44 28 6e 2c 20 65 |M(v)))..|I_D(n, e|
|00003470| 29 3a 3d 56 45 43 54 4f | 52 28 56 45 43 54 4f 52 |):=VECTO|R(VECTOR|
|00003480| 28 49 46 28 5b 69 2c 20 | 6a 5d 20 3d 20 65 2c 20 |(IF([i, |j] = e, |
|00003490| 31 2c 20 30 29 2c 20 6a | 2c 20 31 2c 20 6e 29 2c |1, 0), j|, 1, n),|
|000034a0| 20 69 2c 20 31 2c 20 6e | 29 0d 0a 4b 42 5f 28 6d | i, 1, n|)..KB_(m|
|000034b0| 2c 20 6e 29 3a 3d 5b 41 | 50 50 45 4e 44 28 56 5f |, n):=[A|PPEND(V_|
|000034c0| 52 4f 57 28 5b 28 31 20 | 2d 20 6d 29 2f 32 2c 20 |ROW([(1 |- m)/2, |
|000034d0| 31 39 2f 35 3b 20 28 6d | 20 2d 20 31 29 2f 32 2c |19/5; (m| - 1)/2,|
|000034e0| 20 31 39 2f 35 5d 2c 20 | 6d 29 2c 20 56 5f 52 4f | 19/5], |m), V_RO|
|000034f0| 57 28 5b 28 31 20 2d 20 | 6e 29 2f 32 2c 20 2d 20 |W([(1 - |n)/2, - |
|00003500| 31 39 2f 35 3b 20 28 6e | 20 2d 20 31 29 2f 32 2c |19/5; (n| - 1)/2,|
|00003510| 20 2d 20 31 39 2f 35 5d | 2c 20 6e 29 29 2c 20 50 | - 19/5]|, n)), P|
|00003520| 41 49 52 28 5b 43 4f 55 | 4e 54 28 6d 29 2c 20 43 |AIR([COU|NT(m), C|
|00003530| 4f 55 4e 54 53 28 6d 20 | 2b 20 31 2c 20 6d 20 2b |OUNTS(m |+ 1, m +|
|00003540| 20 6e 29 5d 29 5d 0d 0a | 4b 53 55 42 28 65 29 3a | n)])]..|KSUB(e):|
|00003550| 3d 5b 44 49 53 54 5f 56 | 28 65 29 2c 20 28 41 53 |=[DIST_V|(e), (AS|
|00003560| 55 42 28 55 5f 2c 20 41 | 50 50 52 4f 58 28 43 4f |UB(U_, A|PPROX(CO|
|00003570| 4d 50 4c 45 54 45 28 65 | 29 29 29 29 20 52 4f 57 |MPLETE(e|)))) ROW|
|00003580| 20 44 49 53 54 5f 56 28 | 65 29 20 43 4f 4c 20 44 | DIST_V(|e) COL D|
|00003590| 49 53 54 5f 56 28 65 29 | 5d 0d 0a 4b 53 55 42 44 |IST_V(e)|]..KSUBD|
|000035a0| 49 28 65 29 3a 3d 5b 44 | 49 53 54 5f 56 28 65 29 |I(e):=[D|IST_V(e)|
|000035b0| 2c 20 28 41 53 55 42 44 | 49 28 55 5f 2c 20 41 50 |, (ASUBD|I(U_, AP|
|000035c0| 50 52 4f 58 28 43 4f 4d | 50 4c 45 54 45 28 65 29 |PROX(COM|PLETE(e)|
|000035d0| 29 29 29 20 52 4f 57 20 | 44 49 53 54 5f 56 28 65 |))) ROW |DIST_V(e|
|000035e0| 29 20 43 4f 4c 20 44 49 | 53 54 5f 56 28 65 29 5d |) COL DI|ST_V(e)]|
|000035f0| 0d 0a 4b 53 55 42 44 49 | 53 28 76 29 3a 3d 55 4e |..KSUBDI|S(v):=UN|
|00003600| 49 4f 4e 53 28 56 45 43 | 54 4f 52 28 4b 53 55 42 |IONS(VEC|TOR(KSUB|
|00003610| 44 49 28 76 99 69 29 2c | 20 69 2c 20 31 2c 20 44 |DI(v.i),| i, 1, D|
|00003620| 49 4d 28 76 29 29 29 0d | 0a 4b 53 55 42 53 28 76 |IM(v))).|.KSUBS(v|
|00003630| 29 3a 3d 47 53 55 4d 53 | 28 56 45 43 54 4f 52 28 |):=GSUMS|(VECTOR(|
|00003640| 4b 53 55 42 28 76 99 69 | 29 2c 20 69 2c 20 31 2c |KSUB(v.i|), i, 1,|
|00003650| 20 44 49 4d 28 76 29 29 | 29 0d 0a 4b 53 55 42 53 | DIM(v))|)..KSUBS|
|00003660| 44 49 28 76 29 3a 3d 47 | 53 55 4d 53 44 49 28 56 |DI(v):=G|SUMSDI(V|
|00003670| 45 43 54 4f 52 28 4b 53 | 55 42 44 49 28 76 99 69 |ECTOR(KS|UBDI(v.i|
|00003680| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 76 29 29 |), i, 1,| DIM(v))|
|00003690| 29 0d 0a 4b 5f 28 6e 29 | 3a 3d 5b 31 39 2f 35 b7 |)..K_(n)|:=[19/5.|
|000036a0| 52 49 4e 47 28 6e 2c 20 | 30 29 2c 20 43 4f 4d 50 |RING(n, |0), COMP|
|000036b0| 4c 45 54 45 28 43 4f 55 | 4e 54 28 6e 29 29 5d 0d |LETE(COU|NT(n))].|
|000036c0| 0a 4c 49 4e 4b 53 28 61 | 2c 20 62 29 3a 3d 41 50 |.LINKS(a|, b):=AP|
|000036d0| 50 45 4e 44 28 56 45 43 | 54 4f 52 28 56 45 43 54 |PEND(VEC|TOR(VECT|
|000036e0| 4f 52 28 5b 61 99 69 2c | 20 62 99 6a 5d 2c 20 6a |OR([a.i,| b.j], j|
|000036f0| 2c 20 31 2c 20 44 49 4d | 28 62 29 29 2c 20 69 2c |, 1, DIM|(b)), i,|
|00003700| 20 31 2c 20 44 49 4d 28 | 61 29 29 29 0d 0a 4c 4f | 1, DIM(|a)))..LO|
|00003710| 4f 50 59 5f 28 6e 2c 20 | 70 2c 20 a9 29 3a 3d 5b |OPY_(n, |p, .):=[|
|00003720| 28 31 20 2b 20 6e 2f 34 | 29 b7 8b 28 43 4f 53 28 |(1 + n/4|)..(COS(|
|00003730| b2 2f 32 29 29 b7 5b 43 | 4f 53 28 b2 2f 34 29 2c |./2)).[C|OS(./4),|
|00003740| 20 53 49 4e 28 b2 2f 34 | 29 5d b7 52 4f 54 5f 28 | SIN(./4|)].ROT_(|
|00003750| a9 29 20 2b 20 70 5d 0d | 0a 4c 4f 4f 50 59 5f 41 |.) + p].|.LOOPY_A|
|00003760| 52 52 4f 57 28 6e 2c 20 | 70 2c 20 73 2c 20 a9 29 |RROW(n, |p, s, .)|
|00003770| 3a 3d 5b 5b 28 31 2f 34 | b7 6e 20 2b 20 31 29 b7 |:=[[(1/4|.n + 1).|
|00003780| 8b 28 43 4f 53 28 31 2f | 32 b7 b2 29 29 b7 43 4f |.(COS(1/|2..)).CO|
|00003790| 53 28 31 2f 34 b7 b2 29 | b7 43 4f 53 28 a9 29 20 |S(1/4..)|.COS(.) |
|000037a0| 2d 20 31 2f 34 b7 28 6e | 20 2b 20 34 29 b7 8b 28 |- 1/4.(n| + 4)..(|
|000037b0| 43 4f 53 28 31 2f 32 b7 | b2 29 29 b7 53 49 4e 28 |COS(1/2.|.)).SIN(|
|000037c0| 31 2f 34 b7 b2 29 b7 53 | 49 4e 28 a9 29 2c 20 28 |1/4..).S|IN(.), (|
|000037d0| 31 2f 34 b7 6e 20 2b 20 | 31 29 b7 8b 28 43 4f 53 |1/4.n + |1)..(COS|
|000037e0| 28 31 2f 32 b7 b2 29 29 | b7 53 49 4e 28 31 2f 34 |(1/2..))|.SIN(1/4|
|000037f0| b7 b2 29 b7 43 4f 53 28 | a9 29 20 2b 20 28 31 2f |..).COS(|.) + (1/|
|00003800| 34 b7 6e 20 2b 20 31 29 | b7 8b 28 43 4f 53 28 31 |4.n + 1)|..(COS(1|
|00003810| 2f 32 b7 b2 29 29 b7 43 | 4f 53 28 31 2f 34 b7 b2 |/2..)).C|OS(1/4..|
|00003820| 29 b7 53 49 4e 28 a9 29 | 5d 20 2b 20 70 2c 20 5b |).SIN(.)|] + p, [|
|00003830| 32 38 31 36 39 2f 31 30 | 30 30 30 b7 31 30 5e 28 |28169/10|000.10^(|
|00003840| 2d 35 29 b7 28 33 35 35 | b7 28 32 35 b7 6e 20 2b |-5).(355|.(25.n +|
|00003850| 20 39 33 29 20 2d 20 37 | 39 31 b7 78 29 b7 43 4f | 93) - 7|91.x).CO|
|00003860| 53 28 a9 29 20 2d 20 35 | 33 35 32 31 2f 32 30 30 |S(.) - 5|3521/200|
|00003870| 30 30 30 30 30 30 b7 73 | b7 28 31 31 33 b7 78 20 |000000.s|.(113.x |
|00003880| 2b 20 33 35 35 29 b7 53 | 49 4e 28 a9 29 2c 20 35 |+ 355).S|IN(.), 5|
|00003890| 33 35 32 31 2f 32 30 30 | 30 30 30 30 30 30 b7 73 |3521/200|000000.s|
|000038a0| b7 28 31 31 33 b7 78 20 | 2b 20 33 35 35 29 b7 43 |.(113.x |+ 355).C|
|000038b0| 4f 53 28 a9 29 20 2b 20 | 32 38 31 36 39 2f 31 30 |OS(.) + |28169/10|
|000038c0| 30 30 30 b7 31 30 5e 28 | 2d 35 29 b7 28 33 35 35 |000.10^(|-5).(355|
|000038d0| b7 28 32 35 b7 6e 20 2b | 20 39 33 29 20 2d 20 37 |.(25.n +| 93) - 7|
|000038e0| 39 31 b7 78 29 b7 53 49 | 4e 28 a9 29 5d 20 2b 20 |91.x).SI|N(.)] + |
|000038f0| 70 2c 20 5b 32 38 31 36 | 39 2f 32 30 30 30 30 b7 |p, [2816|9/20000.|
|00003900| 31 30 5e 28 2d 35 29 b7 | 28 37 39 31 b7 78 20 2b |10^(-5).|(791.x +|
|00003910| 20 37 31 2f 34 30 b7 31 | 30 5e 34 b7 6e 20 2b 20 | 71/40.1|0^4.n + |
|00003920| 31 34 36 39 37 2f 32 30 | 30 30 b7 31 30 5e 34 29 |14697/20|00.10^4)|
|00003930| b7 43 4f 53 28 a9 29 20 | 2d 20 31 34 37 38 38 37 |.COS(.) |- 147887|
|00003940| 2f 35 30 30 30 30 30 30 | 30 30 b7 73 b7 28 31 31 |/5000000|00.s.(11|
|00003950| 33 b7 78 20 2b 20 33 35 | 35 29 b7 53 49 4e 28 a9 |3.x + 35|5).SIN(.|
|00003960| 29 2c 20 31 34 37 38 38 | 37 2f 35 30 30 30 30 30 |), 14788|7/500000|
|00003970| 30 30 30 b7 73 b7 28 31 | 31 33 b7 78 20 2b 20 33 |000.s.(1|13.x + 3|
|00003980| 35 35 29 b7 43 4f 53 28 | a9 29 20 2b 20 32 38 31 |55).COS(|.) + 281|
|00003990| 36 39 2f 32 30 30 30 30 | b7 31 30 5e 28 2d 35 29 |69/20000|.10^(-5)|
|000039a0| b7 28 37 39 31 b7 78 20 | 2b 20 37 31 2f 34 30 b7 |.(791.x |+ 71/40.|
|000039b0| 31 30 5e 34 b7 6e 20 2b | 20 31 34 36 39 37 2f 32 |10^4.n +| 14697/2|
|000039c0| 30 30 30 b7 31 30 5e 34 | 29 b7 53 49 4e 28 a9 29 |000.10^4|).SIN(.)|
|000039d0| 5d 20 2b 20 70 5d 0d 0a | 4c 4f 4f 50 5f 28 6e 2c |] + p]..|LOOP_(n,|
|000039e0| 20 70 29 3a 3d 5b 28 31 | 20 2b 20 6e 2f 34 29 b7 | p):=[(1| + n/4).|
|000039f0| 8b 28 43 4f 53 28 b2 2f | 32 29 29 b7 5b 43 4f 53 |.(COS(./|2)).[COS|
|00003a00| 28 b2 2f 34 29 2c 20 53 | 49 4e 28 b2 2f 34 29 5d |(./4), S|IN(./4)]|
|00003a10| b7 52 4f 54 5f 28 49 46 | 28 70 99 31 20 3d 20 30 |.ROT_(IF|(p.1 = 0|
|00003a20| 2c 20 49 46 28 70 99 32 | 20 3d 20 30 2c 20 30 2c |, IF(p.2| = 0, 0,|
|00003a30| 20 53 49 47 4e 28 70 99 | 32 29 b7 b9 2f 32 29 2c | SIGN(p.|2)../2),|
|00003a40| 20 41 54 41 4e 28 70 99 | 32 2f 70 99 31 29 20 2b | ATAN(p.|2/p.1) +|
|00003a50| 20 49 46 28 70 99 31 20 | 3c 20 30 2c 20 b9 2c 20 | IF(p.1 |< 0, ., |
|00003a60| 30 29 29 29 20 2b 20 70 | 5d 0d 0a 4c 4f 4f 50 5f |0))) + p|]..LOOP_|
|00003a70| 41 52 52 4f 57 28 6e 2c | 20 70 2c 20 73 29 3a 3d |ARROW(n,| p, s):=|
|00003a80| 5b 5b 28 31 2f 34 b7 6e | 20 2b 20 31 29 b7 8b 28 |[[(1/4.n| + 1)..(|
|00003a90| 43 4f 53 28 31 2f 32 b7 | b2 29 29 b7 43 4f 53 28 |COS(1/2.|.)).COS(|
|00003aa0| 31 2f 34 b7 b2 29 b7 43 | 4f 53 28 49 46 28 70 99 |1/4..).C|OS(IF(p.|
|00003ab0| 31 20 3d 20 30 2c 20 49 | 46 28 70 99 32 20 3d 20 |1 = 0, I|F(p.2 = |
|00003ac0| 30 2c 20 30 2c 20 53 49 | 47 4e 28 70 99 32 29 b7 |0, 0, SI|GN(p.2).|
|00003ad0| b9 2f 32 29 2c 20 41 54 | 41 4e 28 70 99 32 2f 70 |./2), AT|AN(p.2/p|
|00003ae0| 99 31 29 20 2b 20 49 46 | 28 70 99 31 20 3c 20 30 |.1) + IF|(p.1 < 0|
|00003af0| 2c 20 b9 2c 20 30 29 29 | 29 20 2d 20 31 2f 34 b7 |, ., 0))|) - 1/4.|
|00003b00| 28 6e 20 2b 20 34 29 b7 | 8b 28 43 4f 53 28 31 2f |(n + 4).|.(COS(1/|
|00003b10| 32 b7 b2 29 29 b7 53 49 | 4e 28 31 2f 34 b7 b2 29 |2..)).SI|N(1/4..)|
|00003b20| b7 53 49 4e 28 49 46 28 | 70 99 31 20 3d 20 30 2c |.SIN(IF(|p.1 = 0,|
|00003b30| 20 49 46 28 70 99 32 20 | 3d 20 30 2c 20 30 2c 20 | IF(p.2 |= 0, 0, |
|00003b40| 53 49 47 4e 28 70 99 32 | 29 b7 b9 2f 32 29 2c 20 |SIGN(p.2|)../2), |
|00003b50| 41 54 41 4e 28 70 99 32 | 2f 70 99 31 29 20 2b 20 |ATAN(p.2|/p.1) + |
|00003b60| 49 46 28 70 99 31 20 3c | 20 30 2c 20 b9 2c 20 30 |IF(p.1 <| 0, ., 0|
|00003b70| 29 29 29 2c 20 28 31 2f | 34 b7 6e 20 2b 20 31 29 |))), (1/|4.n + 1)|
|00003b80| b7 8b 28 43 4f 53 28 31 | 2f 32 b7 b2 29 29 b7 53 |..(COS(1|/2..)).S|
|00003b90| 49 4e 28 31 2f 34 b7 b2 | 29 b7 43 4f 53 28 49 46 |IN(1/4..|).COS(IF|
|00003ba0| 28 70 99 31 20 3d 20 30 | 2c 20 49 46 28 70 99 32 |(p.1 = 0|, IF(p.2|
|00003bb0| 20 3d 20 30 2c 20 30 2c | 20 53 49 47 4e 28 70 99 | = 0, 0,| SIGN(p.|
|00003bc0| 32 29 b7 b9 2f 32 29 2c | 20 41 54 41 4e 28 70 99 |2)../2),| ATAN(p.|
|00003bd0| 32 2f 70 99 31 29 20 2b | 20 49 46 28 70 99 31 20 |2/p.1) +| IF(p.1 |
|00003be0| 3c 20 30 2c 20 b9 2c 20 | 30 29 29 29 20 2b 20 28 |< 0, ., |0))) + (|
|00003bf0| 31 2f 34 b7 6e 20 2b 20 | 31 29 b7 8b 28 43 4f 53 |1/4.n + |1)..(COS|
|00003c00| 28 31 2f 32 b7 b2 29 29 | b7 43 4f 53 28 31 2f 34 |(1/2..))|.COS(1/4|
|00003c10| b7 b2 29 b7 53 49 4e 28 | 49 46 28 70 99 31 20 3d |..).SIN(|IF(p.1 =|
|00003c20| 20 30 2c 20 49 46 28 70 | 99 32 20 3d 20 30 2c 20 | 0, IF(p|.2 = 0, |
|00003c30| 30 2c 20 53 49 47 4e 28 | 70 99 32 29 b7 b9 2f 32 |0, SIGN(|p.2)../2|
|00003c40| 29 2c 20 41 54 41 4e 28 | 70 99 32 2f 70 99 31 29 |), ATAN(|p.2/p.1)|
|00003c50| 20 2b 20 49 46 28 70 99 | 31 20 3c 20 30 2c 20 b9 | + IF(p.|1 < 0, .|
|00003c60| 2c 20 30 29 29 29 5d 20 | 2b 20 70 2c 20 5b 32 38 |, 0)))] |+ p, [28|
|00003c70| 31 36 39 2f 31 30 30 30 | 30 b7 31 30 5e 28 2d 35 |169/1000|0.10^(-5|
|00003c80| 29 b7 28 33 35 35 b7 28 | 32 35 b7 6e 20 2b 20 39 |).(355.(|25.n + 9|
|00003c90| 33 29 20 2d 20 37 39 31 | b7 78 29 b7 43 4f 53 28 |3) - 791|.x).COS(|
|00003ca0| 49 46 28 70 99 31 20 3d | 20 30 2c 20 49 46 28 70 |IF(p.1 =| 0, IF(p|
|00003cb0| 99 32 20 3d 20 30 2c 20 | 30 2c 20 53 49 47 4e 28 |.2 = 0, |0, SIGN(|
|00003cc0| 70 99 32 29 b7 b9 2f 32 | 29 2c 20 41 54 41 4e 28 |p.2)../2|), ATAN(|
|00003cd0| 70 99 32 2f 70 99 31 29 | 20 2b 20 49 46 28 70 99 |p.2/p.1)| + IF(p.|
|00003ce0| 31 20 3c 20 30 2c 20 b9 | 2c 20 30 29 29 29 20 2d |1 < 0, .|, 0))) -|
|00003cf0| 20 35 33 35 32 31 2f 32 | 30 30 30 30 30 30 30 30 | 53521/2|00000000|
|00003d00| b7 73 b7 28 31 31 33 b7 | 78 20 2b 20 33 35 35 29 |.s.(113.|x + 355)|
|00003d10| b7 53 49 4e 28 49 46 28 | 70 99 31 20 3d 20 30 2c |.SIN(IF(|p.1 = 0,|
|00003d20| 20 49 46 28 70 99 32 20 | 3d 20 30 2c 20 30 2c 20 | IF(p.2 |= 0, 0, |
|00003d30| 53 49 47 4e 28 70 99 32 | 29 b7 b9 2f 32 29 2c 20 |SIGN(p.2|)../2), |
|00003d40| 41 54 41 4e 28 70 99 32 | 2f 70 99 31 29 20 2b 20 |ATAN(p.2|/p.1) + |
|00003d50| 49 46 28 70 99 31 20 3c | 20 30 2c 20 b9 2c 20 30 |IF(p.1 <| 0, ., 0|
|00003d60| 29 29 29 2c 20 35 33 35 | 32 31 2f 32 30 30 30 30 |))), 535|21/20000|
|00003d70| 30 30 30 30 b7 73 b7 28 | 31 31 33 b7 78 20 2b 20 |0000.s.(|113.x + |
|00003d80| 33 35 35 29 b7 43 4f 53 | 28 49 46 28 70 99 31 20 |355).COS|(IF(p.1 |
|00003d90| 3d 20 30 2c 20 49 46 28 | 70 99 32 20 3d 20 30 2c |= 0, IF(|p.2 = 0,|
|00003da0| 20 30 2c 20 53 49 47 4e | 28 70 99 32 29 b7 b9 2f | 0, SIGN|(p.2)../|
|00003db0| 32 29 2c 20 41 54 41 4e | 28 70 99 32 2f 70 99 31 |2), ATAN|(p.2/p.1|
|00003dc0| 29 20 2b 20 49 46 28 70 | 99 31 20 3c 20 30 2c 20 |) + IF(p|.1 < 0, |
|00003dd0| b9 2c 20 30 29 29 29 20 | 2b 20 32 38 31 36 39 2f |., 0))) |+ 28169/|
|00003de0| 31 30 30 30 30 b7 31 30 | 5e 28 2d 35 29 b7 28 33 |10000.10|^(-5).(3|
|00003df0| 35 35 b7 28 32 35 b7 6e | 20 2b 20 39 33 29 20 2d |55.(25.n| + 93) -|
|00003e00| 20 37 39 31 b7 78 29 b7 | 53 49 4e 28 49 46 28 70 | 791.x).|SIN(IF(p|
|00003e10| 99 31 20 3d 20 30 2c 20 | 49 46 28 70 99 32 20 3d |.1 = 0, |IF(p.2 =|
|00003e20| 20 30 2c 20 30 2c 20 53 | 49 47 4e 28 70 99 32 29 | 0, 0, S|IGN(p.2)|
|00003e30| b7 b9 2f 32 29 2c 20 41 | 54 41 4e 28 70 99 32 2f |../2), A|TAN(p.2/|
|00003e40| 70 99 31 29 20 2b 20 49 | 46 28 70 99 31 20 3c 20 |p.1) + I|F(p.1 < |
|00003e50| 30 2c 20 b9 2c 20 30 29 | 29 29 5d 20 2b 20 70 2c |0, ., 0)|))] + p,|
|00003e60| 20 5b 32 38 31 36 39 2f | 32 30 30 30 30 b7 31 30 | [28169/|20000.10|
|00003e70| 5e 28 2d 35 29 b7 28 37 | 39 31 b7 78 20 2b 20 37 |^(-5).(7|91.x + 7|
|00003e80| 31 2f 34 30 b7 31 30 5e | 34 b7 6e 20 2b 20 31 34 |1/40.10^|4.n + 14|
|00003e90| 36 39 37 2f 32 30 30 30 | b7 31 30 5e 34 29 b7 43 |697/2000|.10^4).C|
|00003ea0| 4f 53 28 49 46 28 70 99 | 31 20 3d 20 30 2c 20 49 |OS(IF(p.|1 = 0, I|
|00003eb0| 46 28 70 99 32 20 3d 20 | 30 2c 20 30 2c 20 53 49 |F(p.2 = |0, 0, SI|
|00003ec0| 47 4e 28 70 99 32 29 b7 | b9 2f 32 29 2c 20 41 54 |GN(p.2).|./2), AT|
|00003ed0| 41 4e 28 70 99 32 2f 70 | 99 31 29 20 2b 20 49 46 |AN(p.2/p|.1) + IF|
|00003ee0| 28 70 99 31 20 3c 20 30 | 2c 20 b9 2c 20 30 29 29 |(p.1 < 0|, ., 0))|
|00003ef0| 29 20 2d 20 31 34 37 38 | 38 37 2f 35 30 30 30 30 |) - 1478|87/50000|
|00003f00| 30 30 30 30 b7 73 b7 28 | 31 31 33 b7 78 20 2b 20 |0000.s.(|113.x + |
|00003f10| 33 35 35 29 b7 53 49 4e | 28 49 46 28 70 99 31 20 |355).SIN|(IF(p.1 |
|00003f20| 3d 20 30 2c 20 49 46 28 | 70 99 32 20 3d 20 30 2c |= 0, IF(|p.2 = 0,|
|00003f30| 20 30 2c 20 53 49 47 4e | 28 70 99 32 29 b7 b9 2f | 0, SIGN|(p.2)../|
|00003f40| 32 29 2c 20 41 54 41 4e | 28 70 99 32 2f 70 99 31 |2), ATAN|(p.2/p.1|
|00003f50| 29 20 2b 20 49 46 28 70 | 99 31 20 3c 20 30 2c 20 |) + IF(p|.1 < 0, |
|00003f60| b9 2c 20 30 29 29 29 2c | 20 31 34 37 38 38 37 2f |., 0))),| 147887/|
|00003f70| 35 30 30 30 30 30 30 30 | 30 b7 73 b7 28 31 31 33 |50000000|0.s.(113|
|00003f80| b7 78 20 2b 20 33 35 35 | 29 b7 43 4f 53 28 49 46 |.x + 355|).COS(IF|
|00003f90| 28 70 99 31 20 3d 20 30 | 2c 20 49 46 28 70 99 32 |(p.1 = 0|, IF(p.2|
|00003fa0| 20 3d 20 30 2c 20 30 2c | 20 53 49 47 4e 28 70 99 | = 0, 0,| SIGN(p.|
|00003fb0| 32 29 b7 b9 2f 32 29 2c | 20 41 54 41 4e 28 70 99 |2)../2),| ATAN(p.|
|00003fc0| 32 2f 70 99 31 29 20 2b | 20 49 46 28 70 99 31 20 |2/p.1) +| IF(p.1 |
|00003fd0| 3c 20 30 2c 20 b9 2c 20 | 30 29 29 29 20 2b 20 32 |< 0, ., |0))) + 2|
|00003fe0| 38 31 36 39 2f 32 30 30 | 30 30 b7 31 30 5e 28 2d |8169/200|00.10^(-|
|00003ff0| 35 29 b7 28 37 39 31 b7 | 78 20 2b 20 37 31 2f 34 |5).(791.|x + 71/4|
|00004000| 30 b7 31 30 5e 34 b7 6e | 20 2b 20 31 34 36 39 37 |0.10^4.n| + 14697|
|00004010| 2f 32 30 30 30 b7 31 30 | 5e 34 29 b7 53 49 4e 28 |/2000.10|^4).SIN(|
|00004020| 49 46 28 70 99 31 20 3d | 20 30 2c 20 49 46 28 70 |IF(p.1 =| 0, IF(p|
|00004030| 99 32 20 3d 20 30 2c 20 | 30 2c 20 53 49 47 4e 28 |.2 = 0, |0, SIGN(|
|00004040| 70 99 32 29 b7 b9 2f 32 | 29 2c 20 41 54 41 4e 28 |p.2)../2|), ATAN(|
|00004050| 70 99 32 2f 70 99 31 29 | 20 2b 20 49 46 28 70 99 |p.2/p.1)| + IF(p.|
|00004060| 31 20 3c 20 30 2c 20 b9 | 2c 20 30 29 29 29 5d 20 |1 < 0, .|, 0)))] |
|00004070| 2b 20 70 5d 0d 0a 4c 53 | 55 42 28 bf 2c 20 67 29 |+ p]..LS|UB(., g)|
|00004080| 3a 3d 5b 67 99 31 2c 20 | bf b7 41 4d 41 54 5f 47 |:=[g.1, |..AMAT_G|
|00004090| 28 67 29 5d 0d 0a 4c 53 | 55 42 44 49 28 bf 2c 20 |(g)]..LS|UBDI(., |
|000040a0| 67 29 3a 3d 5b 67 99 31 | 2c 20 bf b7 41 4d 41 54 |g):=[g.1|, ..AMAT|
|000040b0| 44 49 5f 47 28 67 29 5d | 0d 0a 4d 45 4d 5f 28 69 |DI_G(g)]|..MEM_(i|
|000040c0| 2c 20 75 29 3a 3d a3 28 | 69 20 2d 20 75 99 6a 2c |, u):=.(|i - u.j,|
|000040d0| 20 6a 2c 20 31 2c 20 44 | 49 4d 28 75 29 29 0d 0a | j, 1, D|IM(u))..|
|000040e0| 4d 53 55 42 28 bf 2c 20 | 67 29 3a 3d 5b 67 99 31 |MSUB(., |g):=[g.1|
|000040f0| 2c 20 bf b7 41 4d 41 54 | 5f 47 28 67 29 5d 0d 0a |, ..AMAT|_G(g)]..|
|00004100| 4d 53 55 42 44 49 28 bf | 2c 20 67 29 3a 3d 5b 67 |MSUBDI(.|, g):=[g|
|00004110| 99 31 2c 20 bf b7 41 4d | 41 54 44 49 5f 47 28 67 |.1, ..AM|ATDI_G(g|
|00004120| 29 5d 0d 0a 4d 55 4d 49 | 4e 5f 45 28 61 2c 20 65 |)]..MUMI|N_E(a, e|
|00004130| 29 3a 3d 49 46 28 61 20 | 3d 20 61 60 20 8f 20 45 |):=IF(a |= a` . E|
|00004140| 56 45 4e 5f 28 61 29 20 | 3d 20 30 2c 20 61 20 2d |VEN_(a) |= 0, a -|
|00004150| 20 49 5f 44 28 44 49 4d | 28 61 29 2c 20 65 29 20 | I_D(DIM|(a), e) |
|00004160| 2b 20 2d 20 49 5f 44 28 | 44 49 4d 28 61 29 2c 20 |+ - I_D(|DIM(a), |
|00004170| 5b 65 99 32 2c 20 65 99 | 31 5d 29 2c 20 22 41 64 |[e.2, e.|1]), "Ad|
|00004180| 6a 61 63 65 6e 63 79 20 | 6d 61 74 72 69 78 20 69 |jacency |matrix i|
|00004190| 73 20 6e 6f 74 20 73 75 | 69 74 61 62 6c 65 22 29 |s not su|itable")|
|000041a0| 0d 0a 4e 55 4c 4c 28 6e | 29 3a 3d 5b 31 39 2f 35 |..NULL(n|):=[19/5|
|000041b0| b7 52 49 4e 47 28 6e 2c | 20 30 29 2c 20 7a 65 72 |.RING(n,| 0), zer|
|000041c0| 6f 28 6e 29 5d 0d 0a 50 | 41 49 52 28 75 29 3a 3d |o(n)]..P|AIR(u):=|
|000041d0| 49 46 28 44 49 4d 28 75 | 99 31 29 20 3d 20 31 2c |IF(DIM(u|.1) = 1,|
|000041e0| 20 56 45 43 54 4f 52 28 | 5b 75 99 31 99 31 2c 20 | VECTOR(|[u.1.1, |
|000041f0| 75 99 32 99 6a 5d 2c 20 | 6a 2c 20 31 2c 20 44 49 |u.2.j], |j, 1, DI|
|00004200| 4d 28 75 99 32 29 29 2c | 20 41 50 50 45 4e 44 28 |M(u.2)),| APPEND(|
|00004210| 56 45 43 54 4f 52 28 56 | 45 43 54 4f 52 28 5b 75 |VECTOR(V|ECTOR([u|
|00004220| 99 31 99 69 2c 20 75 99 | 32 99 6a 5d 2c 20 6a 2c |.1.i, u.|2.j], j,|
|00004230| 20 31 2c 20 44 49 4d 28 | 75 99 32 29 29 2c 20 69 | 1, DIM(|u.2)), i|
|00004240| 2c 20 31 2c 20 44 49 4d | 28 75 99 31 29 29 29 29 |, 1, DIM|(u.1))))|
|00004250| 0d 0a 50 41 49 52 53 28 | 76 29 3a 3d 41 50 50 45 |..PAIRS(|v):=APPE|
|00004260| 4e 44 28 56 45 43 54 4f | 52 28 50 41 49 52 28 5b |ND(VECTO|R(PAIR([|
|00004270| 76 99 69 99 31 2c 20 76 | 99 69 99 32 5d 29 2c 20 |v.i.1, v|.i.2]), |
|00004280| 69 2c 20 31 2c 20 44 49 | 4d 28 76 29 29 29 0d 0a |i, 1, DI|M(v)))..|
|00004290| 50 41 54 48 28 65 29 3a | 3d 57 41 4c 4b 28 65 29 |PATH(e):|=WALK(e)|
|000042a0| 0d 0a 50 41 54 48 53 28 | 65 29 3a 3d 57 41 4c 4b |..PATHS(|e):=WALK|
|000042b0| 53 28 65 29 0d 0a 50 43 | 49 53 55 42 53 28 76 29 |S(e)..PC|ISUBS(v)|
|000042c0| 3a 3d 50 52 4f 44 53 28 | 56 45 43 54 4f 52 28 43 |:=PRODS(|VECTOR(C|
|000042d0| 49 53 55 42 28 76 99 69 | 29 2c 20 69 2c 20 31 2c |ISUB(v.i|), i, 1,|
|000042e0| 20 44 49 4d 28 76 29 29 | 29 0d 0a 50 43 49 53 55 | DIM(v))|)..PCISU|
|000042f0| 42 53 44 49 28 76 29 3a | 3d 50 52 4f 44 53 44 49 |BSDI(v):|=PRODSDI|
|00004300| 28 56 45 43 54 4f 52 28 | 43 49 53 55 42 28 76 99 |(VECTOR(|CISUB(v.|
|00004310| 69 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 76 29 |i), i, 1|, DIM(v)|
|00004320| 29 29 0d 0a 50 43 59 53 | 55 42 53 28 76 29 3a 3d |))..PCYS|UBS(v):=|
|00004330| 50 52 4f 44 53 28 56 45 | 43 54 4f 52 28 43 59 53 |PRODS(VE|CTOR(CYS|
|00004340| 55 42 28 76 99 69 29 2c | 20 69 2c 20 31 2c 20 44 |UB(v.i),| i, 1, D|
|00004350| 49 4d 28 76 29 29 29 0d | 0a 50 43 59 53 55 42 53 |IM(v))).|.PCYSUBS|
|00004360| 44 49 28 76 29 3a 3d 50 | 52 4f 44 53 44 49 28 56 |DI(v):=P|RODSDI(V|
|00004370| 45 43 54 4f 52 28 43 59 | 53 55 42 28 76 99 69 29 |ECTOR(CY|SUB(v.i)|
|00004380| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 76 29 29 29 |, i, 1, |DIM(v)))|
|00004390| 0d 0a 50 45 52 4d 5f 41 | 4d 41 54 28 61 2c 20 70 |..PERM_A|MAT(a, p|
|000043a0| 29 3a 3d 49 46 28 44 49 | 4d 28 61 29 20 3d 20 44 |):=IF(DI|M(a) = D|
|000043b0| 49 4d 28 70 29 2c 20 56 | 45 43 54 4f 52 28 56 45 |IM(p), V|ECTOR(VE|
|000043c0| 43 54 4f 52 28 61 60 99 | 28 70 99 69 29 2c 20 69 |CTOR(a`.|(p.i), i|
|000043d0| 2c 20 31 2c 20 44 49 4d | 28 70 29 29 60 99 28 70 |, 1, DIM|(p))`.(p|
|000043e0| 99 69 29 2c 20 69 2c 20 | 31 2c 20 44 49 4d 28 70 |.i), i, |1, DIM(p|
|000043f0| 29 29 2c 20 22 44 69 6d | 65 6e 73 69 6f 6e 73 20 |)), "Dim|ensions |
|00004400| 64 6f 6e 27 74 20 6d 61 | 74 63 68 22 29 0d 0a 50 |don't ma|tch")..P|
|00004410| 45 52 4d 5f 56 28 76 2c | 20 70 29 3a 3d 49 46 28 |ERM_V(v,| p):=IF(|
|00004420| 44 49 4d 28 76 29 20 3d | 20 44 49 4d 28 70 29 2c |DIM(v) =| DIM(p),|
|00004430| 20 56 45 43 54 4f 52 28 | 76 99 28 70 99 69 29 2c | VECTOR(|v.(p.i),|
|00004440| 20 69 2c 20 31 2c 20 44 | 49 4d 28 70 29 29 2c 20 | i, 1, D|IM(p)), |
|00004450| 22 44 69 6d 65 6e 73 69 | 6f 6e 73 20 64 6f 6e 27 |"Dimensi|ons don'|
|00004460| 74 20 6d 61 74 63 68 22 | 29 0d 0a 50 4b 53 55 42 |t match"|)..PKSUB|
|00004470| 53 28 76 29 3a 3d 50 52 | 4f 44 53 28 56 45 43 54 |S(v):=PR|ODS(VECT|
|00004480| 4f 52 28 4b 53 55 42 28 | 76 99 69 29 2c 20 69 2c |OR(KSUB(|v.i), i,|
|00004490| 20 31 2c 20 44 49 4d 28 | 76 29 29 29 0d 0a 50 4b | 1, DIM(|v)))..PK|
|000044a0| 53 55 42 53 44 49 28 76 | 29 3a 3d 50 52 4f 44 53 |SUBSDI(v|):=PRODS|
|000044b0| 44 49 28 56 45 43 54 4f | 52 28 4b 53 55 42 28 76 |DI(VECTO|R(KSUB(v|
|000044c0| 99 69 29 2c 20 69 2c 20 | 31 2c 20 44 49 4d 28 76 |.i), i, |1, DIM(v|
|000044d0| 29 29 29 0d 0a 50 4f 57 | 53 55 42 28 67 2c 20 bf |)))..POW|SUB(g, .|
|000044e0| 29 3a 3d 5b 67 99 31 2c | 20 41 4d 41 54 5f 47 28 |):=[g.1,| AMAT_G(|
|000044f0| 67 29 5e bf 5d 0d 0a 50 | 4f 57 53 55 42 44 49 28 |g)^.]..P|OWSUBDI(|
|00004500| 67 2c 20 bf 29 3a 3d 5b | 67 99 31 2c 20 41 4d 41 |g, .):=[|g.1, AMA|
|00004510| 54 44 49 5f 47 28 67 29 | 5e bf 5d 0d 0a 50 50 53 |TDI_G(g)|^.]..PPS|
|00004520| 55 42 53 28 76 29 3a 3d | 50 52 4f 44 53 28 56 45 |UBS(v):=|PRODS(VE|
|00004530| 43 54 4f 52 28 50 53 55 | 42 28 76 99 69 29 2c 20 |CTOR(PSU|B(v.i), |
|00004540| 69 2c 20 31 2c 20 44 49 | 4d 28 76 29 29 29 0d 0a |i, 1, DI|M(v)))..|
|00004550| 50 50 53 55 42 53 44 49 | 28 76 29 3a 3d 50 52 4f |PPSUBSDI|(v):=PRO|
|00004560| 44 53 44 49 28 56 45 43 | 54 4f 52 28 50 53 55 42 |DSDI(VEC|TOR(PSUB|
|00004570| 28 76 99 69 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |(v.i), i|, 1, DIM|
|00004580| 28 76 29 29 29 0d 0a 50 | 52 4f 44 44 49 5f 53 28 |(v)))..P|RODDI_S(|
|00004590| 76 2c 20 6e 29 3a 3d 49 | 54 45 52 41 54 45 28 5b |v, n):=I|TERATE([|
|000045a0| 50 52 4f 44 53 55 42 44 | 49 28 78 99 31 2c 20 76 |PRODSUBD|I(x.1, v|
|000045b0| 99 28 78 99 32 29 29 2c | 20 78 99 32 20 2b 20 31 |.(x.2)),| x.2 + 1|
|000045c0| 5d 2c 20 78 2c 20 5b 76 | 99 31 2c 20 32 5d 2c 20 |], x, [v|.1, 2], |
|000045d0| 6e 29 0d 0a 50 52 4f 44 | 53 28 76 29 3a 3d 28 50 |n)..PROD|S(v):=(P|
|000045e0| 52 4f 44 5f 53 28 76 2c | 20 44 49 4d 28 76 29 20 |ROD_S(v,| DIM(v) |
|000045f0| 2d 20 31 29 29 99 31 0d | 0a 50 52 4f 44 53 44 49 |- 1)).1.|.PRODSDI|
|00004600| 28 76 29 3a 3d 28 50 52 | 4f 44 44 49 5f 53 28 76 |(v):=(PR|ODDI_S(v|
|00004610| 2c 20 44 49 4d 28 76 29 | 20 2d 20 31 29 29 99 31 |, DIM(v)| - 1)).1|
|00004620| 0d 0a 50 52 4f 44 53 55 | 42 28 67 2c 20 68 29 3a |..PRODSU|B(g, h):|
|00004630| 3d 5b 55 4e 49 5f 28 67 | 99 31 2c 20 68 99 31 29 |=[UNI_(g|.1, h.1)|
|00004640| 2c 20 28 41 53 55 42 5f | 47 28 55 5f 2c 20 67 29 |, (ASUB_|G(U_, g)|
|00004650| 20 95 20 41 53 55 42 5f | 47 28 55 5f 2c 20 68 29 | . ASUB_|G(U_, h)|
|00004660| 29 20 52 4f 57 20 55 4e | 49 5f 28 67 99 31 2c 20 |) ROW UN|I_(g.1, |
|00004670| 68 99 31 29 20 43 4f 4c | 20 55 4e 49 5f 28 67 99 |h.1) COL| UNI_(g.|
|00004680| 31 2c 20 68 99 31 29 5d | 0d 0a 50 52 4f 44 53 55 |1, h.1)]|..PRODSU|
|00004690| 42 44 49 28 67 2c 20 68 | 29 3a 3d 5b 55 4e 49 5f |BDI(g, h|):=[UNI_|
|000046a0| 28 67 99 31 2c 20 68 99 | 31 29 2c 20 28 41 53 55 |(g.1, h.|1), (ASU|
|000046b0| 42 44 49 5f 47 28 55 5f | 2c 20 67 29 20 95 20 41 |BDI_G(U_|, g) . A|
|000046c0| 53 55 42 44 49 5f 47 28 | 55 5f 2c 20 68 29 29 20 |SUBDI_G(|U_, h)) |
|000046d0| 52 4f 57 20 55 4e 49 5f | 28 67 99 31 2c 20 68 99 |ROW UNI_|(g.1, h.|
|000046e0| 31 29 20 43 4f 4c 20 55 | 4e 49 5f 28 67 99 31 2c |1) COL U|NI_(g.1,|
|000046f0| 20 68 99 31 29 5d 0d 0a | 50 52 4f 44 5f 53 28 76 | h.1)]..|PROD_S(v|
|00004700| 2c 20 6e 29 3a 3d 49 54 | 45 52 41 54 45 28 5b 50 |, n):=IT|ERATE([P|
|00004710| 52 4f 44 53 55 42 28 78 | 99 31 2c 20 76 99 28 78 |RODSUB(x|.1, v.(x|
|00004720| 99 32 29 29 2c 20 78 99 | 32 20 2b 20 31 5d 2c 20 |.2)), x.|2 + 1], |
|00004730| 78 2c 20 5b 76 99 31 2c | 20 32 5d 2c 20 6e 29 0d |x, [v.1,| 2], n).|
|00004740| 0a 50 53 55 42 28 65 29 | 3a 3d 49 46 28 44 49 53 |.PSUB(e)|:=IF(DIS|
|00004750| 54 49 4e 43 54 28 65 29 | 2c 20 57 53 55 42 28 65 |TINCT(e)|, WSUB(e|
|00004760| 29 2c 20 22 76 65 72 74 | 69 63 65 73 20 6e 6f 74 |), "vert|ices not|
|00004770| 20 64 69 73 74 69 6e 63 | 74 22 29 0d 0a 50 53 55 | distinc|t")..PSU|
|00004780| 42 44 49 28 65 29 3a 3d | 49 46 28 44 49 53 54 49 |BDI(e):=|IF(DISTI|
|00004790| 4e 43 54 28 65 29 2c 20 | 57 53 55 42 44 49 28 65 |NCT(e), |WSUBDI(e|
|000047a0| 29 2c 20 22 76 65 72 74 | 69 63 65 73 20 6e 6f 74 |), "vert|ices not|
|000047b0| 20 64 69 73 74 69 6e 63 | 74 22 29 0d 0a 50 53 55 | distinc|t")..PSU|
|000047c0| 42 44 49 53 28 76 29 3a | 3d 55 4e 49 4f 4e 53 28 |BDIS(v):|=UNIONS(|
|000047d0| 56 45 43 54 4f 52 28 50 | 53 55 42 44 49 28 76 99 |VECTOR(P|SUBDI(v.|
|000047e0| 69 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 76 29 |i), i, 1|, DIM(v)|
|000047f0| 29 29 0d 0a 50 53 55 42 | 53 28 76 29 3a 3d 47 53 |))..PSUB|S(v):=GS|
|00004800| 55 4d 53 28 56 45 43 54 | 4f 52 28 50 53 55 42 28 |UMS(VECT|OR(PSUB(|
|00004810| 76 99 69 29 2c 20 69 2c | 20 31 2c 20 44 49 4d 28 |v.i), i,| 1, DIM(|
|00004820| 76 29 29 29 0d 0a 50 53 | 55 42 53 44 49 28 76 29 |v)))..PS|UBSDI(v)|
|00004830| 3a 3d 47 53 55 4d 53 44 | 49 28 56 45 43 54 4f 52 |:=GSUMSD|I(VECTOR|
|00004840| 28 50 53 55 42 44 49 28 | 76 99 69 29 2c 20 69 2c |(PSUBDI(|v.i), i,|
|00004850| 20 31 2c 20 44 49 4d 28 | 76 29 29 29 0d 0a 50 54 | 1, DIM(|v)))..PT|
|00004860| 4f 53 55 42 53 28 76 29 | 3a 3d 50 52 4f 44 53 28 |OSUBS(v)|:=PRODS(|
|00004870| 56 45 43 54 4f 52 28 54 | 4f 53 55 42 28 76 99 69 |VECTOR(T|OSUB(v.i|
|00004880| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 76 29 29 |), i, 1,| DIM(v))|
|00004890| 29 0d 0a 50 54 4f 53 55 | 42 53 44 49 28 76 29 3a |)..PTOSU|BSDI(v):|
|000048a0| 3d 50 52 4f 44 53 44 49 | 28 56 45 43 54 4f 52 28 |=PRODSDI|(VECTOR(|
|000048b0| 54 4f 53 55 42 28 76 99 | 69 29 2c 20 69 2c 20 31 |TOSUB(v.|i), i, 1|
|000048c0| 2c 20 44 49 4d 28 76 29 | 29 29 0d 0a 50 54 52 53 |, DIM(v)|))..PTRS|
|000048d0| 55 42 53 28 76 29 3a 3d | 50 52 4f 44 53 28 56 45 |UBS(v):=|PRODS(VE|
|000048e0| 43 54 4f 52 28 54 52 53 | 55 42 28 76 99 69 29 2c |CTOR(TRS|UB(v.i),|
|000048f0| 20 69 2c 20 31 2c 20 44 | 49 4d 28 76 29 29 29 0d | i, 1, D|IM(v))).|
|00004900| 0a 50 54 52 53 55 42 53 | 44 49 28 76 29 3a 3d 50 |.PTRSUBS|DI(v):=P|
|00004910| 52 4f 44 53 44 49 28 56 | 45 43 54 4f 52 28 54 52 |RODSDI(V|ECTOR(TR|
|00004920| 53 55 42 28 76 99 69 29 | 2c 20 69 2c 20 31 2c 20 |SUB(v.i)|, i, 1, |
|00004930| 44 49 4d 28 76 29 29 29 | 0d 0a 50 57 53 55 42 53 |DIM(v)))|..PWSUBS|
|00004940| 28 76 29 3a 3d 50 52 4f | 44 53 28 56 45 43 54 4f |(v):=PRO|DS(VECTO|
|00004950| 52 28 57 53 55 42 28 76 | 99 69 29 2c 20 69 2c 20 |R(WSUB(v|.i), i, |
|00004960| 31 2c 20 44 49 4d 28 76 | 29 29 29 0d 0a 50 57 53 |1, DIM(v|)))..PWS|
|00004970| 55 42 53 44 49 28 76 29 | 3a 3d 50 52 4f 44 53 44 |UBSDI(v)|:=PRODSD|
|00004980| 49 28 56 45 43 54 4f 52 | 28 57 53 55 42 28 76 99 |I(VECTOR|(WSUB(v.|
|00004990| 69 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 76 29 |i), i, 1|, DIM(v)|
|000049a0| 29 29 0d 0a 52 45 4d 4f | 56 45 5f 56 28 67 2c 20 |))..REMO|VE_V(g, |
|000049b0| 6a 29 3a 3d 49 46 28 44 | 49 4d 28 28 41 50 50 52 |j):=IF(D|IM((APPR|
|000049c0| 4f 58 28 67 29 29 99 32 | 60 29 20 3d 20 44 49 4d |OX(g)).2|`) = DIM|
|000049d0| 28 28 41 50 50 52 4f 58 | 28 67 29 29 99 32 29 2c |((APPROX|(g)).2),|
|000049e0| 20 5b 44 45 4c 45 54 45 | 28 28 41 50 50 52 4f 58 | [DELETE|((APPROX|
|000049f0| 28 67 29 29 99 31 2c 20 | 6a 29 2c 20 44 45 4c 45 |(g)).1, |j), DELE|
|00004a00| 54 45 28 44 45 4c 45 54 | 45 28 28 41 50 50 52 4f |TE(DELET|E((APPRO|
|00004a10| 58 28 67 29 29 99 32 60 | 2c 20 6a 29 60 2c 20 6a |X(g)).2`|, j)`, j|
|00004a20| 29 5d 2c 20 5b 44 45 4c | 45 54 45 28 28 41 50 50 |)], [DEL|ETE((APP|
|00004a30| 52 4f 58 28 67 29 29 99 | 31 2c 20 6a 29 2c 20 44 |ROX(g)).|1, j), D|
|00004a40| 45 4c 45 54 45 28 44 45 | 4c 45 54 45 28 41 4d 41 |ELETE(DE|LETE(AMA|
|00004a50| 54 28 28 41 50 50 52 4f | 58 28 67 29 29 99 32 29 |T((APPRO|X(g)).2)|
|00004a60| 60 2c 20 6a 29 60 2c 20 | 6a 29 5d 29 0d 0a 52 49 |`, j)`, |j)])..RI|
|00004a70| 4e 47 28 6e 2c 20 b2 29 | 3a 3d 56 45 43 54 4f 52 |NG(n, .)|:=VECTOR|
|00004a80| 28 5b 43 4f 53 28 32 b7 | 69 b7 b9 2f 6e 20 2b 20 |([COS(2.|i../n + |
|00004a90| b2 29 2c 20 53 49 4e 28 | 32 b7 69 b7 b9 2f 6e 20 |.), SIN(|2.i../n |
|00004aa0| 2b 20 b2 29 5d 2c 20 69 | 2c 20 30 2c 20 6e 20 2d |+ .)], i|, 0, n -|
|00004ab0| 20 31 29 0d 0a 52 49 4e | 47 53 28 76 29 3a 3d 41 | 1)..RIN|GS(v):=A|
|00004ac0| 50 50 45 4e 44 28 56 45 | 43 54 4f 52 28 76 99 69 |PPEND(VE|CTOR(v.i|
|00004ad0| 99 31 b7 52 49 4e 47 28 | 76 99 69 99 32 2c 20 76 |.1.RING(|v.i.2, v|
|00004ae0| 99 69 99 33 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |.i.3), i|, 1, DIM|
|00004af0| 28 76 29 29 29 0d 0a 52 | 4f 54 5f 28 a9 29 3a 3d |(v)))..R|OT_(.):=|
|00004b00| 5b 43 4f 53 28 a9 29 2c | 20 53 49 4e 28 a9 29 3b |[COS(.),| SIN(.);|
|00004b10| 20 2d 20 53 49 4e 28 a9 | 29 2c 20 43 4f 53 28 a9 | - SIN(.|), COS(.|
|00004b20| 29 5d 0d 0a 53 54 41 52 | 28 6e 29 3a 3d 5b 52 49 |)]..STAR|(n):=[RI|
|00004b30| 4e 47 53 28 5b 30 2c 20 | 31 2c 20 30 3b 20 31 39 |NGS([0, |1, 0; 19|
|00004b40| 2f 35 2c 20 6e 20 2d 20 | 31 2c 20 30 5d 29 2c 20 |/5, n - |1, 0]), |
|00004b50| 56 45 43 54 4f 52 28 5b | 31 2c 20 69 5d 2c 20 69 |VECTOR([|1, i], i|
|00004b60| 2c 20 32 2c 20 6e 29 5d | 0d 0a 53 55 4d 44 49 5f |, 2, n)]|..SUMDI_|
|00004b70| 53 28 76 2c 20 6e 29 3a | 3d 49 54 45 52 41 54 45 |S(v, n):|=ITERATE|
|00004b80| 28 5b 53 55 4d 53 55 42 | 44 49 28 78 99 31 2c 20 |([SUMSUB|DI(x.1, |
|00004b90| 76 99 28 78 99 32 29 29 | 2c 20 78 99 32 20 2b 20 |v.(x.2))|, x.2 + |
|00004ba0| 31 5d 2c 20 78 2c 20 5b | 76 99 31 2c 20 32 5d 2c |1], x, [|v.1, 2],|
|00004bb0| 20 6e 29 0d 0a 53 55 4d | 53 55 42 28 67 2c 20 68 | n)..SUM|SUB(g, h|
|00004bc0| 29 3a 3d 5b 55 4e 49 5f | 28 67 99 31 2c 20 68 99 |):=[UNI_|(g.1, h.|
|00004bd0| 31 29 2c 20 28 41 53 55 | 42 5f 47 28 55 5f 2c 20 |1), (ASU|B_G(U_, |
|00004be0| 67 29 20 2b 20 41 53 55 | 42 5f 47 28 55 5f 2c 20 |g) + ASU|B_G(U_, |
|00004bf0| 68 29 29 20 52 4f 57 20 | 55 4e 49 5f 28 67 99 31 |h)) ROW |UNI_(g.1|
|00004c00| 2c 20 68 99 31 29 20 43 | 4f 4c 20 55 4e 49 5f 28 |, h.1) C|OL UNI_(|
|00004c10| 67 99 31 2c 20 68 99 31 | 29 5d 0d 0a 53 55 4d 53 |g.1, h.1|)]..SUMS|
|00004c20| 55 42 44 49 28 67 2c 20 | 68 29 3a 3d 5b 55 4e 49 |UBDI(g, |h):=[UNI|
|00004c30| 5f 28 67 99 31 2c 20 68 | 99 31 29 2c 20 28 41 53 |_(g.1, h|.1), (AS|
|00004c40| 55 42 44 49 5f 47 28 55 | 5f 2c 20 67 29 20 2b 20 |UBDI_G(U|_, g) + |
|00004c50| 41 53 55 42 44 49 5f 47 | 28 55 5f 2c 20 68 29 29 |ASUBDI_G|(U_, h))|
|00004c60| 20 52 4f 57 20 55 4e 49 | 5f 28 67 99 31 2c 20 68 | ROW UNI|_(g.1, h|
|00004c70| 99 31 29 20 43 4f 4c 20 | 55 4e 49 5f 28 67 99 31 |.1) COL |UNI_(g.1|
|00004c80| 2c 20 68 99 31 29 5d 0d | 0a 53 55 4d 5f 53 28 76 |, h.1)].|.SUM_S(v|
|00004c90| 2c 20 6e 29 3a 3d 49 54 | 45 52 41 54 45 28 5b 53 |, n):=IT|ERATE([S|
|00004ca0| 55 4d 53 55 42 28 78 99 | 31 2c 20 76 99 28 78 99 |UMSUB(x.|1, v.(x.|
|00004cb0| 32 29 29 2c 20 78 99 32 | 20 2b 20 31 5d 2c 20 78 |2)), x.2| + 1], x|
|00004cc0| 2c 20 5b 76 99 31 2c 20 | 32 5d 2c 20 6e 29 0d 0a |, [v.1, |2], n)..|
|00004cd0| 53 5f 52 49 4e 47 28 6e | 2c 20 b2 2c 20 73 29 3a |S_RING(n|, ., s):|
|00004ce0| 3d 56 45 43 54 4f 52 28 | 5b 43 4f 53 28 32 b7 69 |=VECTOR(|[COS(2.i|
|00004cf0| b7 73 b7 b9 2f 6e 20 2b | 20 b2 29 2c 20 53 49 4e |.s../n +| .), SIN|
|00004d00| 28 32 b7 69 b7 73 b7 b9 | 2f 6e 20 2b 20 b2 29 5d |(2.i.s..|/n + .)]|
|00004d10| 2c 20 69 2c 20 30 2c 20 | 6e 20 2d 20 31 29 0d 0a |, i, 0, |n - 1)..|
|00004d20| 53 5f 52 49 4e 47 53 28 | 76 29 3a 3d 41 50 50 45 |S_RINGS(|v):=APPE|
|00004d30| 4e 44 28 56 45 43 54 4f | 52 28 76 99 69 99 31 b7 |ND(VECTO|R(v.i.1.|
|00004d40| 53 5f 52 49 4e 47 28 76 | 99 69 99 32 2c 20 76 99 |S_RING(v|.i.2, v.|
|00004d50| 69 99 33 2c 20 76 99 69 | 99 34 29 2c 20 69 2c 20 |i.3, v.i|.4), i, |
|00004d60| 31 2c 20 44 49 4d 28 76 | 29 29 29 0d 0a 54 4f 53 |1, DIM(v|)))..TOS|
|00004d70| 55 42 28 65 29 3a 3d 49 | 46 28 44 49 53 54 49 4e |UB(e):=I|F(DISTIN|
|00004d80| 43 54 28 57 41 4c 4b 28 | 65 29 29 2c 20 57 53 55 |CT(WALK(|e)), WSU|
|00004d90| 42 28 41 50 50 45 4e 44 | 28 65 2c 20 5b 65 99 31 |B(APPEND|(e, [e.1|
|00004da0| 5d 29 29 2c 20 22 65 64 | 67 65 73 20 6e 6f 74 20 |])), "ed|ges not |
|00004db0| 64 69 73 74 69 6e 63 74 | 22 29 0d 0a 54 4f 53 55 |distinct|")..TOSU|
|00004dc0| 42 44 49 28 65 29 3a 3d | 49 46 28 44 49 53 54 49 |BDI(e):=|IF(DISTI|
|00004dd0| 4e 43 54 28 57 41 4c 4b | 28 65 29 29 2c 20 57 53 |NCT(WALK|(e)), WS|
|00004de0| 55 42 44 49 28 41 50 50 | 45 4e 44 28 65 2c 20 5b |UBDI(APP|END(e, [|
|00004df0| 65 99 31 5d 29 29 2c 20 | 22 65 64 67 65 73 20 6e |e.1])), |"edges n|
|00004e00| 6f 74 20 64 69 73 74 69 | 6e 63 74 22 29 0d 0a 54 |ot disti|nct")..T|
|00004e10| 4f 53 55 42 44 49 53 28 | 76 29 3a 3d 55 4e 49 4f |OSUBDIS(|v):=UNIO|
|00004e20| 4e 53 28 56 45 43 54 4f | 52 28 54 4f 53 55 42 44 |NS(VECTO|R(TOSUBD|
|00004e30| 49 28 76 99 69 29 2c 20 | 69 2c 20 31 2c 20 44 49 |I(v.i), |i, 1, DI|
|00004e40| 4d 28 76 29 29 29 0d 0a | 54 4f 53 55 42 53 28 76 |M(v)))..|TOSUBS(v|
|00004e50| 29 3a 3d 47 53 55 4d 53 | 28 56 45 43 54 4f 52 28 |):=GSUMS|(VECTOR(|
|00004e60| 54 4f 53 55 42 28 76 99 | 69 29 2c 20 69 2c 20 31 |TOSUB(v.|i), i, 1|
|00004e70| 2c 20 44 49 4d 28 76 29 | 29 29 0d 0a 54 4f 53 55 |, DIM(v)|))..TOSU|
|00004e80| 42 53 44 49 28 76 29 3a | 3d 47 53 55 4d 53 44 49 |BSDI(v):|=GSUMSDI|
|00004e90| 28 56 45 43 54 4f 52 28 | 54 4f 53 55 42 44 49 28 |(VECTOR(|TOSUBDI(|
|00004ea0| 76 99 69 29 2c 20 69 2c | 20 31 2c 20 44 49 4d 28 |v.i), i,| 1, DIM(|
|00004eb0| 76 29 29 29 0d 0a 54 4f | 55 52 28 65 29 3a 3d 57 |v)))..TO|UR(e):=W|
|00004ec0| 41 4c 4b 28 41 50 50 45 | 4e 44 28 65 2c 20 5b 65 |ALK(APPE|ND(e, [e|
|00004ed0| 99 31 5d 29 29 0d 0a 54 | 4f 55 52 53 28 65 29 3a |.1]))..T|OURS(e):|
|00004ee0| 3d 41 50 50 45 4e 44 28 | 56 45 43 54 4f 52 28 54 |=APPEND(|VECTOR(T|
|00004ef0| 4f 55 52 28 65 99 69 29 | 2c 20 69 2c 20 31 2c 20 |OUR(e.i)|, i, 1, |
|00004f00| 44 49 4d 28 65 29 29 29 | 0d 0a 54 52 41 49 4c 28 |DIM(e)))|..TRAIL(|
|00004f10| 65 29 3a 3d 57 41 4c 4b | 28 65 29 0d 0a 54 52 41 |e):=WALK|(e)..TRA|
|00004f20| 49 4c 53 28 65 29 3a 3d | 57 41 4c 4b 53 28 65 29 |ILS(e):=|WALKS(e)|
|00004f30| 0d 0a 54 52 41 4e 5f 47 | 28 6d 2c 20 64 29 3a 3d |..TRAN_G|(m, d):=|
|00004f40| 56 45 43 54 4f 52 28 56 | 45 43 54 4f 52 28 64 99 |VECTOR(V|ECTOR(d.|
|00004f50| 69 99 6a 20 95 20 6d 60 | 2c 20 6a 2c 20 31 2c 20 |i.j . m`|, j, 1, |
|00004f60| 44 49 4d 28 64 99 69 29 | 29 2c 20 69 2c 20 31 2c |DIM(d.i)|), i, 1,|
|00004f70| 20 32 29 0d 0a 54 52 41 | 4e 5f 47 53 28 76 2c 20 | 2)..TRA|N_GS(v, |
|00004f80| 70 29 3a 3d 56 45 43 54 | 4f 52 28 54 52 41 4e 5f |p):=VECT|OR(TRAN_|
|00004f90| 47 28 76 99 69 2c 20 70 | 29 b7 69 2c 20 31 2c 20 |G(v.i, p|).i, 1, |
|00004fa0| 44 49 4d 28 76 29 29 0d | 0a 54 52 53 55 42 28 65 |DIM(v)).|.TRSUB(e|
|00004fb0| 29 3a 3d 49 46 28 44 49 | 53 54 49 4e 43 54 28 57 |):=IF(DI|STINCT(W|
|00004fc0| 41 4c 4b 28 65 29 29 2c | 20 57 53 55 42 28 65 29 |ALK(e)),| WSUB(e)|
|00004fd0| 2c 20 22 65 64 67 65 73 | 20 6e 6f 74 20 64 69 73 |, "edges| not dis|
|00004fe0| 74 69 6e 63 74 22 29 0d | 0a 54 52 53 55 42 44 49 |tinct").|.TRSUBDI|
|00004ff0| 28 65 29 3a 3d 49 46 28 | 44 49 53 54 49 4e 43 54 |(e):=IF(|DISTINCT|
|00005000| 28 57 41 4c 4b 28 65 29 | 29 2c 20 57 53 55 42 44 |(WALK(e)|), WSUBD|
|00005010| 49 28 65 29 2c 20 22 65 | 64 67 65 73 20 6e 6f 74 |I(e), "e|dges not|
|00005020| 20 64 69 73 74 69 6e 63 | 74 22 29 0d 0a 54 52 53 | distinc|t")..TRS|
|00005030| 55 42 44 49 53 28 76 29 | 3a 3d 55 4e 49 4f 4e 53 |UBDIS(v)|:=UNIONS|
|00005040| 28 56 45 43 54 4f 52 28 | 54 52 53 55 42 44 49 28 |(VECTOR(|TRSUBDI(|
|00005050| 76 99 69 29 2c 20 69 2c | 20 31 2c 20 44 49 4d 28 |v.i), i,| 1, DIM(|
|00005060| 76 29 29 29 0d 0a 54 52 | 53 55 42 53 28 76 29 3a |v)))..TR|SUBS(v):|
|00005070| 3d 47 53 55 4d 53 28 56 | 45 43 54 4f 52 28 54 52 |=GSUMS(V|ECTOR(TR|
|00005080| 53 55 42 28 76 99 69 29 | 2c 20 69 2c 20 31 2c 20 |SUB(v.i)|, i, 1, |
|00005090| 44 49 4d 28 76 29 29 29 | 0d 0a 54 52 53 55 42 53 |DIM(v)))|..TRSUBS|
|000050a0| 44 49 28 76 29 3a 3d 47 | 53 55 4d 53 44 49 28 56 |DI(v):=G|SUMSDI(V|
|000050b0| 45 43 54 4f 52 28 54 52 | 53 55 42 44 49 28 76 99 |ECTOR(TR|SUBDI(v.|
|000050c0| 69 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 76 29 |i), i, 1|, DIM(v)|
|000050d0| 29 29 0d 0a 55 43 49 53 | 55 42 44 49 53 28 76 29 |))..UCIS|UBDIS(v)|
|000050e0| 3a 3d 55 4e 49 4f 4e 53 | 28 56 45 43 54 4f 52 28 |:=UNIONS|(VECTOR(|
|000050f0| 43 49 53 55 42 44 49 28 | 76 99 69 29 2c 20 69 2c |CISUBDI(|v.i), i,|
|00005100| 20 31 2c 20 44 49 4d 28 | 76 29 29 29 0d 0a 55 43 | 1, DIM(|v)))..UC|
|00005110| 49 53 55 42 53 28 76 29 | 3a 3d 55 4e 49 4f 4e 53 |ISUBS(v)|:=UNIONS|
|00005120| 28 56 45 43 54 4f 52 28 | 43 49 53 55 42 28 76 99 |(VECTOR(|CISUB(v.|
|00005130| 69 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 76 29 |i), i, 1|, DIM(v)|
|00005140| 29 29 0d 0a 55 43 49 53 | 55 42 53 44 49 28 76 29 |))..UCIS|UBSDI(v)|
|00005150| 3a 3d 55 4e 49 4f 4e 53 | 44 49 28 56 45 43 54 4f |:=UNIONS|DI(VECTO|
|00005160| 52 28 43 49 53 55 42 44 | 49 28 76 99 69 29 2c 20 |R(CISUBD|I(v.i), |
|00005170| 69 2c 20 31 2c 20 44 49 | 4d 28 76 29 29 29 0d 0a |i, 1, DI|M(v)))..|
|00005180| 55 43 59 53 55 42 44 49 | 53 28 76 29 3a 3d 55 4e |UCYSUBDI|S(v):=UN|
|00005190| 49 4f 4e 53 28 56 45 43 | 54 4f 52 28 43 59 53 55 |IONS(VEC|TOR(CYSU|
|000051a0| 42 44 49 28 76 99 69 29 | 2c 20 69 2c 20 31 2c 20 |BDI(v.i)|, i, 1, |
|000051b0| 44 49 4d 28 76 29 29 29 | 0d 0a 55 43 59 53 55 42 |DIM(v)))|..UCYSUB|
|000051c0| 53 28 76 29 3a 3d 55 4e | 49 4f 4e 53 28 56 45 43 |S(v):=UN|IONS(VEC|
|000051d0| 54 4f 52 28 43 59 53 55 | 42 28 76 99 69 29 2c 20 |TOR(CYSU|B(v.i), |
|000051e0| 69 2c 20 31 2c 20 44 49 | 4d 28 76 29 29 29 0d 0a |i, 1, DI|M(v)))..|
|000051f0| 55 43 59 53 55 42 53 44 | 49 28 76 29 3a 3d 55 4e |UCYSUBSD|I(v):=UN|
|00005200| 49 4f 4e 53 44 49 28 56 | 45 43 54 4f 52 28 43 59 |IONSDI(V|ECTOR(CY|
|00005210| 53 55 42 44 49 28 76 99 | 69 29 2c 20 69 2c 20 31 |SUBDI(v.|i), i, 1|
|00005220| 2c 20 44 49 4d 28 76 29 | 29 29 0d 0a 55 4b 53 55 |, DIM(v)|))..UKSU|
|00005230| 42 44 49 53 28 76 29 3a | 3d 55 4e 49 4f 4e 53 28 |BDIS(v):|=UNIONS(|
|00005240| 56 45 43 54 4f 52 28 4b | 53 55 42 44 49 28 76 99 |VECTOR(K|SUBDI(v.|
|00005250| 69 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 76 29 |i), i, 1|, DIM(v)|
|00005260| 29 29 0d 0a 55 4b 53 55 | 42 53 28 76 29 3a 3d 55 |))..UKSU|BS(v):=U|
|00005270| 4e 49 4f 4e 53 28 56 45 | 43 54 4f 52 28 4b 53 55 |NIONS(VE|CTOR(KSU|
|00005280| 42 28 76 99 69 29 2c 20 | 69 2c 20 31 2c 20 44 49 |B(v.i), |i, 1, DI|
|00005290| 4d 28 76 29 29 29 0d 0a | 55 4b 53 55 42 53 44 49 |M(v)))..|UKSUBSDI|
|000052a0| 28 76 29 3a 3d 55 4e 49 | 4f 4e 53 44 49 28 56 45 |(v):=UNI|ONSDI(VE|
|000052b0| 43 54 4f 52 28 4b 53 55 | 42 44 49 28 76 99 69 29 |CTOR(KSU|BDI(v.i)|
|000052c0| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 76 29 29 29 |, i, 1, |DIM(v)))|
|000052d0| 0d 0a 55 4e 49 4f 4e 53 | 28 76 29 3a 3d 28 55 4e |..UNIONS|(v):=(UN|
|000052e0| 49 4f 4e 5f 53 28 76 2c | 20 44 49 4d 28 76 29 20 |ION_S(v,| DIM(v) |
|000052f0| 2d 20 31 29 29 99 31 0d | 0a 55 4e 49 4f 4e 53 44 |- 1)).1.|.UNIONSD|
|00005300| 49 28 76 29 3a 3d 28 55 | 4e 49 4f 4e 5f 53 44 49 |I(v):=(U|NION_SDI|
|00005310| 28 76 2c 20 44 49 4d 28 | 76 29 20 2d 20 31 29 29 |(v, DIM(|v) - 1))|
|00005320| 99 31 0d 0a 55 4e 49 4f | 4e 5f 53 28 76 2c 20 6e |.1..UNIO|N_S(v, n|
|00005330| 29 3a 3d 49 54 45 52 41 | 54 45 28 5b 55 4e 49 53 |):=ITERA|TE([UNIS|
|00005340| 55 42 28 78 99 31 2c 20 | 76 99 28 78 99 32 29 29 |UB(x.1, |v.(x.2))|
|00005350| 2c 20 78 99 32 20 2b 20 | 31 5d 2c 20 78 2c 20 5b |, x.2 + |1], x, [|
|00005360| 76 99 31 2c 20 32 5d 2c | 20 6e 29 0d 0a 55 4e 49 |v.1, 2],| n)..UNI|
|00005370| 4f 4e 5f 53 44 49 28 76 | 2c 20 6e 29 3a 3d 49 54 |ON_SDI(v|, n):=IT|
|00005380| 45 52 41 54 45 28 5b 55 | 4e 49 53 55 42 44 49 28 |ERATE([U|NISUBDI(|
|00005390| 78 99 31 2c 20 76 99 28 | 78 99 32 29 29 2c 20 78 |x.1, v.(|x.2)), x|
|000053a0| 99 32 20 2b 20 31 5d 2c | 20 78 2c 20 5b 76 99 31 |.2 + 1],| x, [v.1|
|000053b0| 2c 20 32 5d 2c 20 6e 29 | 0d 0a 55 4e 49 53 55 42 |, 2], n)|..UNISUB|
|000053c0| 28 67 2c 20 68 29 3a 3d | 5b 55 4e 49 5f 28 67 99 |(g, h):=|[UNI_(g.|
|000053d0| 31 2c 20 68 99 31 29 2c | 20 28 41 4d 41 58 5f 28 |1, h.1),| (AMAX_(|
|000053e0| 41 53 55 42 5f 47 28 55 | 5f 2c 20 67 29 2c 20 41 |ASUB_G(U|_, g), A|
|000053f0| 53 55 42 5f 47 28 55 5f | 2c 20 68 29 29 29 20 52 |SUB_G(U_|, h))) R|
|00005400| 4f 57 20 55 4e 49 5f 28 | 67 99 31 2c 20 68 99 31 |OW UNI_(|g.1, h.1|
|00005410| 29 20 43 4f 4c 20 55 4e | 49 5f 28 67 99 31 2c 20 |) COL UN|I_(g.1, |
|00005420| 68 99 31 29 5d 0d 0a 55 | 4e 49 53 55 42 44 49 28 |h.1)]..U|NISUBDI(|
|00005430| 67 2c 20 68 29 3a 3d 5b | 55 4e 49 5f 28 67 99 31 |g, h):=[|UNI_(g.1|
|00005440| 2c 20 68 99 31 29 2c 20 | 28 41 4d 41 58 5f 28 41 |, h.1), |(AMAX_(A|
|00005450| 53 55 42 44 49 5f 47 28 | 55 5f 2c 20 67 29 2c 20 |SUBDI_G(|U_, g), |
|00005460| 41 53 55 42 44 49 5f 47 | 28 55 5f 2c 20 68 29 29 |ASUBDI_G|(U_, h))|
|00005470| 29 20 52 4f 57 20 55 4e | 49 5f 28 67 99 31 2c 20 |) ROW UN|I_(g.1, |
|00005480| 68 99 31 29 20 43 4f 4c | 20 55 4e 49 5f 28 67 99 |h.1) COL| UNI_(g.|
|00005490| 31 2c 20 68 99 31 29 5d | 0d 0a 55 4e 49 5f 28 75 |1, h.1)]|..UNI_(u|
|000054a0| 2c 20 76 29 3a 3d 41 50 | 50 45 4e 44 28 56 45 43 |, v):=AP|PEND(VEC|
|000054b0| 54 4f 52 28 49 46 28 4d | 45 4d 42 45 52 3f 28 69 |TOR(IF(M|EMBER?(i|
|000054c0| 2c 20 75 29 20 90 20 4d | 45 4d 42 45 52 3f 28 69 |, u) . M|EMBER?(i|
|000054d0| 2c 20 76 29 2c 20 5b 69 | 5d 2c 20 5b 5d 29 2c 20 |, v), [i|], []), |
|000054e0| 69 2c 20 31 2c 20 4d 41 | 58 28 41 50 50 45 4e 44 |i, 1, MA|X(APPEND|
|000054f0| 28 75 2c 20 76 29 29 29 | 29 0d 0a 55 50 53 55 42 |(u, v)))|)..UPSUB|
|00005500| 44 49 53 28 76 29 3a 3d | 55 4e 49 4f 4e 53 28 56 |DIS(v):=|UNIONS(V|
|00005510| 45 43 54 4f 52 28 50 53 | 55 42 44 49 28 76 99 69 |ECTOR(PS|UBDI(v.i|
|00005520| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 76 29 29 |), i, 1,| DIM(v))|
|00005530| 29 0d 0a 55 50 53 55 42 | 53 28 76 29 3a 3d 55 4e |)..UPSUB|S(v):=UN|
|00005540| 49 4f 4e 53 28 56 45 43 | 54 4f 52 28 50 53 55 42 |IONS(VEC|TOR(PSUB|
|00005550| 28 76 99 69 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |(v.i), i|, 1, DIM|
|00005560| 28 76 29 29 29 0d 0a 55 | 50 53 55 42 53 44 49 28 |(v)))..U|PSUBSDI(|
|00005570| 76 29 3a 3d 55 4e 49 4f | 4e 53 44 49 28 56 45 43 |v):=UNIO|NSDI(VEC|
|00005580| 54 4f 52 28 50 53 55 42 | 44 49 28 76 99 69 29 2c |TOR(PSUB|DI(v.i),|
|00005590| 20 69 2c 20 31 2c 20 44 | 49 4d 28 76 29 29 29 0d | i, 1, D|IM(v))).|
|000055a0| 0a 55 54 4f 53 55 42 44 | 49 53 28 76 29 3a 3d 55 |.UTOSUBD|IS(v):=U|
|000055b0| 4e 49 4f 4e 53 28 56 45 | 43 54 4f 52 28 54 4f 53 |NIONS(VE|CTOR(TOS|
|000055c0| 55 42 44 49 28 76 99 69 | 29 2c 20 69 2c 20 31 2c |UBDI(v.i|), i, 1,|
|000055d0| 20 44 49 4d 28 76 29 29 | 29 0d 0a 55 54 4f 53 55 | DIM(v))|)..UTOSU|
|000055e0| 42 53 28 76 29 3a 3d 55 | 4e 49 4f 4e 53 28 56 45 |BS(v):=U|NIONS(VE|
|000055f0| 43 54 4f 52 28 54 4f 53 | 55 42 28 76 99 69 29 2c |CTOR(TOS|UB(v.i),|
|00005600| 20 69 2c 20 31 2c 20 44 | 49 4d 28 76 29 29 29 0d | i, 1, D|IM(v))).|
|00005610| 0a 55 54 4f 53 55 42 53 | 44 49 28 76 29 3a 3d 55 |.UTOSUBS|DI(v):=U|
|00005620| 4e 49 4f 4e 53 44 49 28 | 56 45 43 54 4f 52 28 54 |NIONSDI(|VECTOR(T|
|00005630| 4f 53 55 42 44 49 28 76 | 99 69 29 2c 20 69 2c 20 |OSUBDI(v|.i), i, |
|00005640| 31 2c 20 44 49 4d 28 76 | 29 29 29 0d 0a 55 54 52 |1, DIM(v|)))..UTR|
|00005650| 53 55 42 44 49 53 28 76 | 29 3a 3d 55 4e 49 4f 4e |SUBDIS(v|):=UNION|
|00005660| 53 28 56 45 43 54 4f 52 | 28 54 52 53 55 42 44 49 |S(VECTOR|(TRSUBDI|
|00005670| 28 76 99 69 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |(v.i), i|, 1, DIM|
|00005680| 28 76 29 29 29 0d 0a 55 | 54 52 53 55 42 53 28 76 |(v)))..U|TRSUBS(v|
|00005690| 29 3a 3d 55 4e 49 4f 4e | 53 28 56 45 43 54 4f 52 |):=UNION|S(VECTOR|
|000056a0| 28 54 52 53 55 42 28 76 | 99 69 29 2c 20 69 2c 20 |(TRSUB(v|.i), i, |
|000056b0| 31 2c 20 44 49 4d 28 76 | 29 29 29 0d 0a 55 54 52 |1, DIM(v|)))..UTR|
|000056c0| 53 55 42 53 44 49 28 76 | 29 3a 3d 55 4e 49 4f 4e |SUBSDI(v|):=UNION|
|000056d0| 53 44 49 28 56 45 43 54 | 4f 52 28 54 52 53 55 42 |SDI(VECT|OR(TRSUB|
|000056e0| 44 49 28 76 99 69 29 2c | 20 69 2c 20 31 2c 20 44 |DI(v.i),| i, 1, D|
|000056f0| 49 4d 28 76 29 29 29 0d | 0a 55 57 53 55 42 44 49 |IM(v))).|.UWSUBDI|
|00005700| 53 28 76 29 3a 3d 55 4e | 49 4f 4e 53 28 56 45 43 |S(v):=UN|IONS(VEC|
|00005710| 54 4f 52 28 57 53 55 42 | 44 49 28 76 99 69 29 2c |TOR(WSUB|DI(v.i),|
|00005720| 20 69 2c 20 31 2c 20 44 | 49 4d 28 76 29 29 29 0d | i, 1, D|IM(v))).|
|00005730| 0a 55 57 53 55 42 53 28 | 76 29 3a 3d 55 4e 49 4f |.UWSUBS(|v):=UNIO|
|00005740| 4e 53 28 56 45 43 54 4f | 52 28 57 53 55 42 28 76 |NS(VECTO|R(WSUB(v|
|00005750| 99 69 29 2c 20 69 2c 20 | 31 2c 20 44 49 4d 28 76 |.i), i, |1, DIM(v|
|00005760| 29 29 29 0d 0a 55 57 53 | 55 42 53 44 49 28 76 29 |)))..UWS|UBSDI(v)|
|00005770| 3a 3d 55 4e 49 4f 4e 53 | 44 49 28 56 45 43 54 4f |:=UNIONS|DI(VECTO|
|00005780| 52 28 57 53 55 42 44 49 | 28 76 99 69 29 2c 20 69 |R(WSUBDI|(v.i), i|
|00005790| 2c 20 31 2c 20 44 49 4d | 28 76 29 29 29 0d 0a 56 |, 1, DIM|(v)))..V|
|000057a0| 53 5f 52 49 4e 47 28 72 | 2c 20 6e 2c 20 b2 2c 20 |S_RING(r|, n, ., |
|000057b0| 73 29 3a 3d 72 b7 53 5f | 52 49 4e 47 28 6e 2c 20 |s):=r.S_|RING(n, |
|000057c0| b2 2c 20 73 29 0d 0a 56 | 53 5f 52 49 4e 47 53 28 |., s)..V|S_RINGS(|
|000057d0| 76 29 3a 3d 53 5f 52 49 | 4e 47 53 28 76 29 0d 0a |v):=S_RI|NGS(v)..|
|000057e0| 56 5f 47 52 49 44 28 70 | 2c 20 6d 2c 20 6e 29 3a |V_GRID(p|, m, n):|
|000057f0| 3d 49 46 28 6e 20 3d 20 | 31 2c 20 56 5f 52 4f 57 |=IF(n = |1, V_ROW|
|00005800| 28 5b 70 99 31 2c 20 70 | 99 32 5d 2c 20 6d 29 2c |([p.1, p|.2], m),|
|00005810| 20 49 46 28 6d 20 3d 20 | 31 2c 20 56 5f 52 4f 57 | IF(m = |1, V_ROW|
|00005820| 28 5b 70 99 31 2c 20 70 | 99 33 5d 2c 20 6e 29 2c |([p.1, p|.3], n),|
|00005830| 20 41 50 50 45 4e 44 28 | 56 45 43 54 4f 52 28 56 | APPEND(|VECTOR(V|
|00005840| 45 43 54 4f 52 28 70 99 | 31 20 2b 20 28 70 99 32 |ECTOR(p.|1 + (p.2|
|00005850| 20 2d 20 70 99 31 29 b7 | 69 2f 28 6d 20 2d 20 31 | - p.1).|i/(m - 1|
|00005860| 29 20 2b 20 28 70 99 33 | 20 2d 20 70 99 31 29 b7 |) + (p.3| - p.1).|
|00005870| 6a 2f 28 6e 20 2d 20 31 | 29 2c 20 69 2c 20 30 2c |j/(n - 1|), i, 0,|
|00005880| 20 6d 20 2d 20 31 29 2c | 20 6a 2c 20 30 2c 20 6e | m - 1),| j, 0, n|
|00005890| 20 2d 20 31 29 29 29 29 | 0d 0a 56 5f 47 52 49 44 | - 1))))|..V_GRID|
|000058a0| 53 28 76 29 3a 3d 41 50 | 50 45 4e 44 28 56 45 43 |S(v):=AP|PEND(VEC|
|000058b0| 54 4f 52 28 56 5f 47 52 | 49 44 28 76 99 69 99 31 |TOR(V_GR|ID(v.i.1|
|000058c0| 2c 20 76 99 69 99 32 2c | 20 76 99 69 99 33 29 2c |, v.i.2,| v.i.3),|
|000058d0| 20 69 2c 20 31 2c 20 44 | 49 4d 28 76 29 29 29 0d | i, 1, D|IM(v))).|
|000058e0| 0a 56 5f 50 41 52 41 28 | 70 2c 20 61 2c 20 62 2c |.V_PARA(|p, a, b,|
|000058f0| 20 6e 29 3a 3d 56 45 43 | 54 4f 52 28 73 75 62 5f | n):=VEC|TOR(sub_|
|00005900| 28 70 2c 20 61 20 2b 20 | 69 b7 28 62 20 2d 20 61 |(p, a + |i.(b - a|
|00005910| 29 2f 28 6e 20 2d 20 31 | 29 29 2c 20 69 2c 20 30 |)/(n - 1|)), i, 0|
|00005920| 2c 20 6e 20 2d 20 31 29 | 0d 0a 56 5f 50 41 52 41 |, n - 1)|..V_PARA|
|00005930| 53 28 70 29 3a 3d 41 50 | 50 45 4e 44 28 56 45 43 |S(p):=AP|PEND(VEC|
|00005940| 54 4f 52 28 56 5f 50 41 | 52 41 28 70 99 69 99 31 |TOR(V_PA|RA(p.i.1|
|00005950| 2c 20 70 99 69 99 32 2c | 20 70 99 69 99 33 2c 20 |, p.i.2,| p.i.3, |
|00005960| 70 99 69 99 34 29 2c 20 | 69 2c 20 31 2c 20 44 49 |p.i.4), |i, 1, DI|
|00005970| 4d 28 70 29 29 29 0d 0a | 56 5f 52 49 4e 47 28 72 |M(p)))..|V_RING(r|
|00005980| 2c 20 6e 2c 20 b2 29 3a | 3d 72 b7 52 49 4e 47 28 |, n, .):|=r.RING(|
|00005990| 6e 2c 20 b2 29 0d 0a 56 | 5f 52 49 4e 47 53 28 76 |n, .)..V|_RINGS(v|
|000059a0| 29 3a 3d 52 49 4e 47 53 | 28 76 29 0d 0a 56 5f 52 |):=RINGS|(v)..V_R|
|000059b0| 4f 57 28 70 2c 20 6e 29 | 3a 3d 49 46 28 6e 20 3d |OW(p, n)|:=IF(n =|
|000059c0| 20 31 2c 20 5b 70 99 31 | 5d 2c 20 56 45 43 54 4f | 1, [p.1|], VECTO|
|000059d0| 52 28 70 99 31 20 2b 20 | 28 70 99 32 20 2d 20 70 |R(p.1 + |(p.2 - p|
|000059e0| 99 31 29 b7 69 2f 28 6e | 20 2d 20 31 29 2c 20 69 |.1).i/(n| - 1), i|
|000059f0| 2c 20 30 2c 20 6e 20 2d | 20 31 29 29 0d 0a 56 5f |, 0, n -| 1))..V_|
|00005a00| 52 4f 57 53 28 76 29 3a | 3d 41 50 50 45 4e 44 28 |ROWS(v):|=APPEND(|
|00005a10| 56 45 43 54 4f 52 28 56 | 5f 52 4f 57 28 76 99 69 |VECTOR(V|_ROW(v.i|
|00005a20| 99 31 2c 20 76 99 69 99 | 32 29 2c 20 69 2c 20 31 |.1, v.i.|2), i, 1|
|00005a30| 2c 20 44 49 4d 28 76 29 | 29 29 0d 0a 57 41 4c 4b |, DIM(v)|))..WALK|
|00005a40| 28 65 29 3a 3d 49 46 28 | 44 49 4d 28 65 29 20 3d |(e):=IF(|DIM(e) =|
|00005a50| 20 31 2c 20 5b 5d 2c 20 | 56 45 43 54 4f 52 28 5b | 1, [], |VECTOR([|
|00005a60| 65 99 69 2c 20 65 99 28 | 69 20 2b 20 31 29 5d 2c |e.i, e.(|i + 1)],|
|00005a70| 20 69 2c 20 31 2c 20 44 | 49 4d 28 65 29 20 2d 20 | i, 1, D|IM(e) - |
|00005a80| 31 29 29 0d 0a 57 41 4c | 4b 53 28 65 29 3a 3d 41 |1))..WAL|KS(e):=A|
|00005a90| 50 50 45 4e 44 28 56 45 | 43 54 4f 52 28 57 41 4c |PPEND(VE|CTOR(WAL|
|00005aa0| 4b 28 65 99 69 29 2c 20 | 69 2c 20 31 2c 20 44 49 |K(e.i), |i, 1, DI|
|00005ab0| 4d 28 65 29 29 29 0d 0a | 57 48 45 45 4c 28 6e 29 |M(e)))..|WHEEL(n)|
|00005ac0| 3a 3d 5b 52 49 4e 47 53 | 28 5b 30 2c 20 31 2c 20 |:=[RINGS|([0, 1, |
|00005ad0| 30 3b 20 31 39 2f 35 2c | 20 6e 20 2d 20 31 2c 20 |0; 19/5,| n - 1, |
|00005ae0| 30 5d 29 2c 20 41 50 50 | 45 4e 44 28 5b 56 45 43 |0]), APP|END([VEC|
|00005af0| 54 4f 52 28 5b 31 2c 20 | 69 5d 2c 20 69 2c 20 32 |TOR([1, |i], i, 2|
|00005b00| 2c 20 6e 29 2c 20 43 49 | 52 43 55 49 54 28 56 45 |, n), CI|RCUIT(VE|
|00005b10| 43 54 4f 52 28 69 2c 20 | 69 2c 20 32 2c 20 6e 29 |CTOR(i, |i, 2, n)|
|00005b20| 29 5d 29 5d 0d 0a 57 53 | 55 42 28 65 29 3a 3d 5b |)])]..WS|UB(e):=[|
|00005b30| 44 49 53 54 5f 56 28 65 | 29 2c 20 28 41 53 55 42 |DIST_V(e|), (ASUB|
|00005b40| 28 55 5f 2c 20 41 50 50 | 52 4f 58 28 57 41 4c 4b |(U_, APP|ROX(WALK|
|00005b50| 28 65 29 29 29 29 20 52 | 4f 57 20 44 49 53 54 5f |(e)))) R|OW DIST_|
|00005b60| 56 28 65 29 20 43 4f 4c | 20 44 49 53 54 5f 56 28 |V(e) COL| DIST_V(|
|00005b70| 65 29 5d 0d 0a 57 53 55 | 42 44 49 28 65 29 3a 3d |e)]..WSU|BDI(e):=|
|00005b80| 5b 44 49 53 54 5f 56 28 | 65 29 2c 20 28 41 53 55 |[DIST_V(|e), (ASU|
|00005b90| 42 44 49 28 55 5f 2c 20 | 41 50 50 52 4f 58 28 57 |BDI(U_, |APPROX(W|
|00005ba0| 41 4c 4b 28 65 29 29 29 | 29 20 52 4f 57 20 44 49 |ALK(e)))|) ROW DI|
|00005bb0| 53 54 5f 56 28 65 29 20 | 43 4f 4c 20 44 49 53 54 |ST_V(e) |COL DIST|
|00005bc0| 5f 56 28 65 29 5d 0d 0a | 57 53 55 42 44 49 53 28 |_V(e)]..|WSUBDIS(|
|00005bd0| 76 29 3a 3d 55 4e 49 4f | 4e 53 28 56 45 43 54 4f |v):=UNIO|NS(VECTO|
|00005be0| 52 28 57 53 55 42 44 49 | 28 76 99 69 29 2c 20 69 |R(WSUBDI|(v.i), i|
|00005bf0| 2c 20 31 2c 20 44 49 4d | 28 76 29 29 29 0d 0a 57 |, 1, DIM|(v)))..W|
|00005c00| 53 55 42 53 28 76 29 3a | 3d 47 53 55 4d 53 28 56 |SUBS(v):|=GSUMS(V|
|00005c10| 45 43 54 4f 52 28 57 53 | 55 42 28 76 99 69 29 2c |ECTOR(WS|UB(v.i),|
|00005c20| 20 69 2c 20 31 2c 20 44 | 49 4d 28 76 29 29 29 0d | i, 1, D|IM(v))).|
|00005c30| 0a 57 53 55 42 53 44 49 | 28 76 29 3a 3d 47 53 55 |.WSUBSDI|(v):=GSU|
|00005c40| 4d 53 44 49 28 56 45 43 | 54 4f 52 28 57 53 55 42 |MSDI(VEC|TOR(WSUB|
|00005c50| 44 49 28 76 99 69 29 2c | 20 69 2c 20 31 2c 20 44 |DI(v.i),| i, 1, D|
|00005c60| 49 4d 28 76 29 29 29 0d | 0a 61 6d 61 74 64 69 5f |IM(v))).|.amatdi_|
|00005c70| 28 65 2c 20 6e 2c 20 6b | 29 3a 3d 49 46 28 6b 20 |(e, n, k|):=IF(k |
|00005c80| 3d 20 30 2c 20 7a 65 72 | 6f 28 6e 29 2c 20 72 65 |= 0, zer|o(n), re|
|00005c90| 70 65 28 61 6d 61 74 64 | 69 5f 28 65 2c 20 6e 2c |pe(amatd|i_(e, n,|
|00005ca0| 20 6b 20 2d 20 31 29 2c | 20 65 99 6b 29 29 0d 0a | k - 1),| e.k))..|
|00005cb0| 61 6d 61 74 64 69 6e 5f | 28 65 2c 20 6e 29 3a 3d |amatdin_|(e, n):=|
|00005cc0| 61 6d 61 74 64 69 5f 28 | 65 2c 20 6e 2c 20 44 49 |amatdi_(|e, n, DI|
|00005cd0| 4d 28 65 29 29 0d 0a 61 | 6d 61 74 6e 5f 28 65 2c |M(e))..a|matn_(e,|
|00005ce0| 20 6e 29 3a 3d 61 6d 61 | 74 64 69 6e 5f 28 65 2c | n):=ama|tdin_(e,|
|00005cf0| 20 6e 29 20 2b 20 61 6d | 61 74 64 69 6e 5f 28 65 | n) + am|atdin_(e|
|00005d00| 2c 20 6e 29 60 0d 0a 64 | 72 28 6d 29 3a 3d 44 52 |, n)`..d|r(m):=DR|
|00005d10| 41 57 28 5b 41 50 50 45 | 4e 44 28 56 45 43 54 4f |AW([APPE|ND(VECTO|
|00005d20| 52 28 28 56 45 43 54 4f | 52 28 5b 69 2f 32 2c 20 |R((VECTO|R([i/2, |
|00005d30| 38 2c 20 69 b7 b9 2f 38 | 5d 2c 20 69 2c 20 30 2c |8, i../8|], i, 0,|
|00005d40| 20 6d 20 2d 20 31 29 29 | 99 69 99 31 b7 52 49 4e | m - 1))|.i.1.RIN|
|00005d50| 47 28 28 56 45 43 54 4f | 52 28 5b 69 2f 32 2c 20 |G((VECTO|R([i/2, |
|00005d60| 38 2c 20 69 b7 b9 2f 38 | 5d 2c 20 69 2c 20 30 2c |8, i../8|], i, 0,|
|00005d70| 20 6d 20 2d 20 31 29 29 | 99 69 99 32 2c 20 28 56 | m - 1))|.i.2, (V|
|00005d80| 45 43 54 4f 52 28 5b 69 | 2f 32 2c 20 38 2c 20 69 |ECTOR([i|/2, 8, i|
|00005d90| b7 b9 2f 38 5d 2c 20 69 | 2c 20 30 2c 20 6d 20 2d |../8], i|, 0, m -|
|00005da0| 20 31 29 29 99 69 99 33 | 29 2c 20 69 2c 20 31 2c | 1)).i.3|), i, 1,|
|00005db0| 20 44 49 4d 28 56 45 43 | 54 4f 52 28 5b 69 2f 32 | DIM(VEC|TOR([i/2|
|00005dc0| 2c 20 38 2c 20 69 b7 b9 | 2f 38 5d 2c 20 69 2c 20 |, 8, i..|/8], i, |
|00005dd0| 30 2c 20 6d 20 2d 20 31 | 29 29 29 29 2c 20 41 50 |0, m - 1|)))), AP|
|00005de0| 50 45 4e 44 28 56 45 43 | 54 4f 52 28 57 41 4c 4b |PEND(VEC|TOR(WALK|
|00005df0| 28 28 56 45 43 54 4f 52 | 28 5b 69 2c 20 38 20 2b |((VECTOR|([i, 8 +|
|00005e00| 20 69 2c 20 31 36 20 2b | 20 69 2c 20 32 34 20 2b | i, 16 +| i, 24 +|
|00005e10| 20 69 2c 20 33 32 20 2b | 20 69 2c 20 34 30 20 2b | i, 32 +| i, 40 +|
|00005e20| 20 69 2c 20 34 38 20 2b | 20 69 2c 20 35 36 20 2b | i, 48 +| i, 56 +|
|00005e30| 20 69 5d 2c 20 69 2c 20 | 31 2c 20 6d 29 29 99 69 | i], i, |1, m)).i|
|00005e40| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 56 45 43 |), i, 1,| DIM(VEC|
|00005e50| 54 4f 52 28 5b 69 2c 20 | 38 20 2b 20 69 2c 20 31 |TOR([i, |8 + i, 1|
|00005e60| 36 20 2b 20 69 2c 20 32 | 34 20 2b 20 69 2c 20 33 |6 + i, 2|4 + i, 3|
|00005e70| 32 20 2b 20 69 2c 20 34 | 30 20 2b 20 69 2c 20 34 |2 + i, 4|0 + i, 4|
|00005e80| 38 20 2b 20 69 2c 20 35 | 36 20 2b 20 69 5d 2c 20 |8 + i, 5|6 + i], |
|00005e90| 69 2c 20 31 2c 20 6d 29 | 29 29 29 5d 29 0d 0a 64 |i, 1, m)|)))])..d|
|00005ea0| 72 65 28 72 2c 20 64 2c | 20 6e 72 29 3a 3d 44 52 |re(r, d,| nr):=DR|
|00005eb0| 41 57 28 5b 76 64 63 28 | 72 2c 20 64 2c 20 6e 72 |AW([vdc(|r, d, nr|
|00005ec0| 29 2c 20 65 64 63 28 64 | 2c 20 6e 72 29 5d 29 0d |), edc(d|, nr)]).|
|00005ed0| 0a 64 72 65 61 6d 28 72 | 2c 20 64 2c 20 6e 72 29 |.dream(r|, d, nr)|
|00005ee0| 3a 3d 44 52 41 57 42 53 | 28 76 64 63 28 72 2c 20 |:=DRAWBS|(vdc(r, |
|00005ef0| 64 2c 20 6e 72 29 2c 20 | 5b 43 49 52 43 55 49 54 |d, nr), |[CIRCUIT|
|00005f00| 28 43 4f 55 4e 54 28 6e | 72 29 29 2c 20 6e 72 2f |(COUNT(n|r)), nr/|
|00005f10| 32 30 20 2d 20 32 3b 20 | 65 64 63 28 64 2c 20 6e |20 - 2; |edc(d, n|
|00005f20| 72 29 2c 20 30 3b 20 43 | 49 52 43 55 49 54 28 43 |r), 0; C|IRCUIT(C|
|00005f30| 4f 55 4e 54 53 28 6e 72 | b7 28 64 20 2d 20 31 29 |OUNTS(nr|.(d - 1)|
|00005f40| 20 2b 20 31 2c 20 6e 72 | b7 64 29 29 2c 20 6e 72 | + 1, nr|.d)), nr|
|00005f50| 2f 32 30 20 2d 20 32 5d | 29 0d 0a 64 72 65 61 6d |/20 - 2]|)..dream|
|00005f60| 31 28 72 2c 20 64 2c 20 | 6e 72 29 3a 3d 44 52 41 |1(r, d, |nr):=DRA|
|00005f70| 57 42 53 28 76 64 63 31 | 28 72 2c 20 64 2c 20 6e |WBS(vdc1|(r, d, n|
|00005f80| 72 29 2c 20 5b 43 49 52 | 43 55 49 54 28 43 4f 55 |r), [CIR|CUIT(COU|
|00005f90| 4e 54 28 6e 72 29 29 2c | 20 30 3b 20 65 64 63 28 |NT(nr)),| 0; edc(|
|00005fa0| 64 2c 20 6e 72 29 2c 20 | 30 3b 20 65 65 64 63 31 |d, nr), |0; eedc1|
|00005fb0| 28 64 20 2d 20 31 2c 20 | 6e 72 29 2c 20 30 3b 20 |(d - 1, |nr), 0; |
|00005fc0| 43 49 52 43 55 49 54 28 | 43 4f 55 4e 54 53 28 6e |CIRCUIT(|COUNTS(n|
|00005fd0| 72 b7 64 20 2b 20 31 2c | 20 6e 72 b7 28 64 20 2b |r.d + 1,| nr.(d +|
|00005fe0| 20 31 29 29 29 2c 20 6e | 72 2f 32 30 20 2d 20 32 | 1))), n|r/20 - 2|
|00005ff0| 5d 29 0d 0a 64 72 65 6d | 28 72 2c 20 64 2c 20 6e |])..drem|(r, d, n|
|00006000| 72 29 3a 3d 5b 78 5e 32 | 20 2b 20 79 5e 32 20 3d |r):=[x^2| + y^2 =|
|00006010| 20 72 5e 32 2c 20 44 52 | 41 57 28 5b 76 64 63 28 | r^2, DR|AW([vdc(|
|00006020| 72 2c 20 64 2c 20 6e 72 | 29 2c 20 65 64 63 28 64 |r, d, nr|), edc(d|
|00006030| 2c 20 6e 72 29 5d 29 2c | 20 78 5e 32 20 2b 20 79 |, nr)]),| x^2 + y|
|00006040| 5e 32 20 3d 20 28 72 20 | 2b 20 28 64 20 2d 20 31 |^2 = (r |+ (d - 1|
|00006050| 29 2f 32 29 5e 32 5d 0d | 0a 65 64 63 28 64 2c 20 |)/2)^2].|.edc(d, |
|00006060| 6e 72 29 3a 3d 41 50 50 | 45 4e 44 28 50 41 54 48 |nr):=APP|END(PATH|
|00006070| 53 28 56 45 43 54 4f 52 | 28 56 45 43 54 4f 52 28 |S(VECTOR|(VECTOR(|
|00006080| 6e 72 b7 6a 20 2b 20 69 | 2c 20 6a 2c 20 30 2c 20 |nr.j + i|, j, 0, |
|00006090| 64 20 2d 20 31 29 2c 20 | 69 2c 20 31 2c 20 6e 72 |d - 1), |i, 1, nr|
|000060a0| 29 29 2c 20 41 50 50 45 | 4e 44 28 56 45 43 54 4f |)), APPE|ND(VECTO|
|000060b0| 52 28 56 45 43 54 4f 52 | 28 5b 6e 72 b7 69 20 2b |R(VECTOR|([nr.i +|
|000060c0| 20 6a 2c 20 6e 72 b7 69 | 20 2b 20 49 46 28 6a 20 | j, nr.i| + IF(j |
|000060d0| 3d 20 31 2c 20 32 b7 6e | 72 2c 20 6a 20 2b 20 6e |= 1, 2.n|r, j + n|
|000060e0| 72 20 2b 20 2d 31 29 5d | 2c 20 6a 2c 20 31 2c 20 |r + -1)]|, j, 1, |
|000060f0| 6e 72 29 2c 20 69 2c 20 | 30 2c 20 64 20 2d 20 32 |nr), i, |0, d - 2|
|00006100| 29 29 29 0d 0a 65 64 63 | 31 28 64 2c 20 6e 72 29 |)))..edc|1(d, nr)|
|00006110| 3a 3d 41 50 50 45 4e 44 | 28 56 45 43 54 4f 52 28 |:=APPEND|(VECTOR(|
|00006120| 56 45 43 54 4f 52 28 5b | 6e 72 b7 69 20 2b 20 6a |VECTOR([|nr.i + j|
|00006130| 2c 20 6e 72 b7 69 20 2b | 20 49 46 28 6a 20 3d 20 |, nr.i +| IF(j = |
|00006140| 31 2c 20 32 b7 6e 72 2c | 20 6a 20 2b 20 6e 72 20 |1, 2.nr,| j + nr |
|00006150| 2b 20 2d 31 29 5d 2c 20 | 6a 2c 20 31 2c 20 6e 72 |+ -1)], |j, 1, nr|
|00006160| 29 2c 20 69 2c 20 30 2c | 20 64 29 29 0d 0a 65 65 |), i, 0,| d))..ee|
|00006170| 64 63 28 64 2c 20 6e 72 | 29 3a 3d 41 50 50 45 4e |dc(d, nr|):=APPEN|
|00006180| 44 28 56 45 43 54 4f 52 | 28 56 45 43 54 4f 52 28 |D(VECTOR|(VECTOR(|
|00006190| 5b 6e 72 b7 69 20 2b 20 | 6a 2c 20 6e 72 b7 69 20 |[nr.i + |j, nr.i |
|000061a0| 2b 20 49 46 28 6a 20 3d | 20 31 2c 20 32 b7 6e 72 |+ IF(j =| 1, 2.nr|
|000061b0| 2c 20 6a 20 2b 20 6e 72 | 20 2b 20 2d 31 29 5d 2c |, j + nr| + -1)],|
|000061c0| 20 6a 2c 20 31 2c 20 72 | 29 2c 20 69 2c 20 30 2c | j, 1, r|), i, 0,|
|000061d0| 20 64 29 29 0d 0a 65 65 | 64 63 31 28 64 2c 20 6e | d))..ee|dc1(d, n|
|000061e0| 72 29 3a 3d 41 50 50 45 | 4e 44 28 56 45 43 54 4f |r):=APPE|ND(VECTO|
|000061f0| 52 28 56 45 43 54 4f 52 | 28 5b 6e 72 b7 69 20 2b |R(VECTOR|([nr.i +|
|00006200| 20 6a 2c 20 6e 72 b7 69 | 20 2b 20 49 46 28 6a 20 | j, nr.i| + IF(j |
|00006210| 3d 20 31 2c 20 32 b7 6e | 72 2c 20 6a 20 2b 20 6e |= 1, 2.n|r, j + n|
|00006220| 72 20 2b 20 2d 31 29 5d | 2c 20 6a 2c 20 31 2c 20 |r + -1)]|, j, 1, |
|00006230| 6e 72 29 2c 20 69 2c 20 | 30 2c 20 64 29 29 0d 0a |nr), i, |0, d))..|
|00006240| 72 63 5f 73 75 6d 28 61 | 29 3a 3d a4 28 a4 28 61 |rc_sum(a|):=.(.(a|
|00006250| 99 69 99 6a 2c 20 69 2c | 20 31 2c 20 44 49 4d 28 |.i.j, i,| 1, DIM(|
|00006260| 61 29 29 2c 20 6a 2c 20 | 31 2c 20 44 49 4d 28 61 |a)), j, |1, DIM(a|
|00006270| 29 29 0d 0a 72 65 70 65 | 28 a9 2c 20 65 29 3a 3d |))..repe|(., e):=|
|00006280| 52 45 50 4c 41 43 45 28 | 52 45 50 4c 41 43 45 28 |REPLACE(|REPLACE(|
|00006290| a9 99 28 65 99 31 29 99 | 28 65 99 32 29 20 2b 20 |..(e.1).|(e.2) + |
|000062a0| 31 2c 20 a9 99 28 65 99 | 31 29 2c 20 65 99 32 29 |1, ..(e.|1), e.2)|
|000062b0| 2c 20 a9 2c 20 65 99 31 | 29 0d 0a 73 75 62 5f 28 |, ., e.1|)..sub_(|
|000062c0| 75 2c 20 76 29 3a 3d 53 | 55 42 53 54 28 75 2c 20 |u, v):=S|UBST(u, |
|000062d0| 56 41 52 49 41 42 4c 45 | 53 28 75 29 2c 20 76 29 |VARIABLE|S(u), v)|
|000062e0| 0d 0a 75 6e 69 5f 64 72 | 61 77 64 69 28 67 2c 20 |..uni_dr|awdi(g, |
|000062f0| 62 29 3a 3d 49 46 28 44 | 49 4d 28 67 99 32 29 20 |b):=IF(D|IM(g.2) |
|00006300| 3d 20 31 2c 20 4c 4f 4f | 50 5f 41 52 52 4f 57 28 |= 1, LOO|P_ARROW(|
|00006310| 30 2c 20 67 99 31 99 31 | 2c 20 31 29 2c 20 41 50 |0, g.1.1|, 1), AP|
|00006320| 50 45 4e 44 28 41 50 50 | 45 4e 44 28 56 45 43 54 |PEND(APP|END(VECT|
|00006330| 4f 52 28 56 45 43 54 4f | 52 28 49 46 28 67 99 32 |OR(VECTO|R(IF(g.2|
|00006340| 99 69 99 6a 20 3d 20 30 | 2c 20 5b 5d 2c 20 49 46 |.i.j = 0|, [], IF|
|00006350| 28 69 20 3d 20 6a 2c 20 | 4c 4f 4f 50 5f 41 52 52 |(i = j, |LOOP_ARR|
|00006360| 4f 57 28 30 2c 20 67 99 | 31 99 69 2c 20 31 29 2c |OW(0, g.|1.i, 1),|
|00006370| 20 45 44 47 45 5f 41 52 | 52 4f 57 28 62 2c 20 67 | EDGE_AR|ROW(b, g|
|00006380| 99 31 99 69 2c 20 67 99 | 31 99 6a 2c 20 62 29 29 |.1.i, g.|1.j, b))|
|00006390| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 67 99 32 |), i, 1,| DIM(g.2|
|000063a0| 29 29 2c 20 6a 2c 20 31 | 2c 20 44 49 4d 28 67 99 |)), j, 1|, DIM(g.|
|000063b0| 32 29 29 29 29 29 0d 0a | 75 6e 69 5f 64 72 61 77 |2)))))..|uni_draw|
|000063c0| 64 69 61 28 67 2c 20 62 | 2c 20 73 29 3a 3d 49 46 |dia(g, b|, s):=IF|
|000063d0| 28 44 49 4d 28 67 99 32 | 29 20 3d 20 31 2c 20 73 |(DIM(g.2|) = 1, s|
|000063e0| b7 4c 4f 4f 50 5f 41 52 | 52 4f 57 28 30 2c 20 67 |.LOOP_AR|ROW(0, g|
|000063f0| 99 31 99 31 2f 73 2c 20 | 31 29 2c 20 41 50 50 45 |.1.1/s, |1), APPE|
+--------+-------------------------+-------------------------+--------+--------+