Added execution traces

diff --git a/09-resolving-the-bill/gf.dot b/09-resolving-the-bill/gf.dot
new file mode 100644 (file)
index 0000000..2047689
--- /dev/null
+++ b/09-resolving-the-bill/gf.dot
@@ -0,0 +1,64 @@
+digraph G {
+
+
+nae20c69b2c4d4ea2a239af485ca10f16 [label="bdabcc\ndabaabcacb"];
+nae20c69b2c4d4ea2a239af485ca10f16 -> nac3868f0d46645ca8bf1b02110448236;
+nac3868f0d46645ca8bf1b02110448236 [label="bdabcc\ndabaabcac"];
+nac3868f0d46645ca8bf1b02110448236 -> nf5a124f6b457426eaa13f9d58a716fe1;
+nac3868f0d46645ca8bf1b02110448236 -> na1b07d40913a48a89651e06846c27489;
+nf5a124f6b457426eaa13f9d58a716fe1 [label="bdabc\ndabaabca"];
+nf5a124f6b457426eaa13f9d58a716fe1 -> nf82bf143985849a9a14d7272ab8be040;
+nf82bf143985849a9a14d7272ab8be040 [label="bdabc\ndabaabc"];
+nf82bf143985849a9a14d7272ab8be040 -> nf5694edb16d84740ad75d3c3a9dc33f4;
+nf82bf143985849a9a14d7272ab8be040 -> nd6bf8394c44b4af79b2a91534ba13317;
+nf5694edb16d84740ad75d3c3a9dc33f4 [label="bdab\ndabaab"];
+nf5694edb16d84740ad75d3c3a9dc33f4 -> n7734cd7f92a34a3bbb223dac592bd496;
+nf5694edb16d84740ad75d3c3a9dc33f4 -> nad799597664c441f9ccedc62f06247bb;
+n7734cd7f92a34a3bbb223dac592bd496 [label="bda\ndabaa"];
+n7734cd7f92a34a3bbb223dac592bd496 -> nf51d59c7071c4725a4e961fd017fd0b6;
+n7734cd7f92a34a3bbb223dac592bd496 -> nd7f11536d8df400d860ac372d1c3e9f8;
+nf51d59c7071c4725a4e961fd017fd0b6 [label="bd\ndaba"];
+nf51d59c7071c4725a4e961fd017fd0b6 -> n48a2b0c66af943439d0c9767e9181c50;
+n48a2b0c66af943439d0c9767e9181c50 [label="bd\ndab"];
+n48a2b0c66af943439d0c9767e9181c50 -> nfee98ef394994c0b9664921c73ae7882;
+nfee98ef394994c0b9664921c73ae7882 [label="bd\nda"];
+nfee98ef394994c0b9664921c73ae7882 -> n077956a8b783437ba5a65c3fd3380e2f;
+n077956a8b783437ba5a65c3fd3380e2f [label="bd\nd\nFalse"];
+nd7f11536d8df400d860ac372d1c3e9f8 [label="bda\ndaba"];
+nd7f11536d8df400d860ac372d1c3e9f8 -> nb1bf7b9e21a64b30a7a536a9b8649e56;
+nd7f11536d8df400d860ac372d1c3e9f8 -> n115e972256cc4394a1eba134f114e4ab;
+nb1bf7b9e21a64b30a7a536a9b8649e56 [label="bd\ndab"];
+nb1bf7b9e21a64b30a7a536a9b8649e56 -> nb0329d485ca14bfaa79caa33670a8699;
+nb0329d485ca14bfaa79caa33670a8699 [label="bd\nda"];
+nb0329d485ca14bfaa79caa33670a8699 -> ne91eaaeffb1443639b733682718f4092;
+ne91eaaeffb1443639b733682718f4092 [label="bd\nd\nFalse"];
+n115e972256cc4394a1eba134f114e4ab [label="bda\ndab"];
+n115e972256cc4394a1eba134f114e4ab -> na78115224d9f4e37b4045f6c30e4ceb1;
+na78115224d9f4e37b4045f6c30e4ceb1 [label="bda\nda\nFalse"];
+nad799597664c441f9ccedc62f06247bb [label="bdab\ndabaa"];
+nad799597664c441f9ccedc62f06247bb -> n55c3278b1aea4bdc92b3d5eb3c09366c;
+n55c3278b1aea4bdc92b3d5eb3c09366c [label="bdab\ndaba"];
+n55c3278b1aea4bdc92b3d5eb3c09366c -> n5d2503b1d062482b898e4682240dcc78;
+n5d2503b1d062482b898e4682240dcc78 [label="bdab\ndab\nFalse"];
+nd6bf8394c44b4af79b2a91534ba13317 [label="bdabc\ndabaab"];
+nd6bf8394c44b4af79b2a91534ba13317 -> ne856116c734a46b1967bddb73c56140f;
+ne856116c734a46b1967bddb73c56140f [label="bdabc\ndabaa"];
+ne856116c734a46b1967bddb73c56140f -> ne0497380dcb04eb9b64499dca04e370b;
+ne0497380dcb04eb9b64499dca04e370b [label="bdabc\ndaba\nFalse"];
+na1b07d40913a48a89651e06846c27489 [label="bdabcc\ndabaabca"];
+na1b07d40913a48a89651e06846c27489 -> nf7b9fd837f974551b0795d7492210e52;
+nf7b9fd837f974551b0795d7492210e52 [label="bdabcc\ndabaabc"];
+nf7b9fd837f974551b0795d7492210e52 -> n753dfbdd86b543cbb9b246e976d31406;
+nf7b9fd837f974551b0795d7492210e52 -> n556f3f77789b40f0b332b55e20828606;
+n753dfbdd86b543cbb9b246e976d31406 [label="bdabc\ndabaab"];
+n753dfbdd86b543cbb9b246e976d31406 -> na21720c117704e02910b868caeddb9a9;
+na21720c117704e02910b868caeddb9a9 [label="bdabc\ndabaa"];
+na21720c117704e02910b868caeddb9a9 -> nb1bec31f0ddf4a888f941702a407906f;
+nb1bec31f0ddf4a888f941702a407906f [label="bdabc\ndaba\nFalse"];
+n556f3f77789b40f0b332b55e20828606 [label="bdabcc\ndabaab"];
+n556f3f77789b40f0b332b55e20828606 -> n5b6173aea18d41f8b4a2c5ce99cc4d7a;
+n5b6173aea18d41f8b4a2c5ce99cc4d7a [label="bdabcc\ndabaa\nFalse"];
+
+
+
+}

diff --git a/09-resolving-the-bill/gf.dot.png b/09-resolving-the-bill/gf.dot.png
new file mode 100644 (file)
index 0000000..9a6800d
Binary files /dev/null and b/09-resolving-the-bill/gf.dot.png differ

diff --git a/09-resolving-the-bill/gf.dot.ps b/09-resolving-the-bill/gf.dot.ps
new file mode 100644 (file)
index 0000000..d9a4282
--- /dev/null
+++ b/09-resolving-the-bill/gf.dot.ps
@@ -0,0 +1,1127 @@
+%!PS-Adobe-3.0
+%%Creator: graphviz version 2.38.0 (20140413.2041)
+%%Title: G
+%%Pages: (atend)
+%%BoundingBox: (atend)
+%%EndComments
+save
+%%BeginProlog
+/DotDict 200 dict def
+DotDict begin
+
+/setupLatin1 {
+mark
+/EncodingVector 256 array def
+ EncodingVector 0
+
+ISOLatin1Encoding 0 255 getinterval putinterval
+EncodingVector 45 /hyphen put
+
+% Set up ISO Latin 1 character encoding
+/starnetISO {
+        dup dup findfont dup length dict begin
+        { 1 index /FID ne { def }{ pop pop } ifelse
+        } forall
+        /Encoding EncodingVector def
+        currentdict end definefont
+} def
+/Times-Roman starnetISO def
+/Times-Italic starnetISO def
+/Times-Bold starnetISO def
+/Times-BoldItalic starnetISO def
+/Helvetica starnetISO def
+/Helvetica-Oblique starnetISO def
+/Helvetica-Bold starnetISO def
+/Helvetica-BoldOblique starnetISO def
+/Courier starnetISO def
+/Courier-Oblique starnetISO def
+/Courier-Bold starnetISO def
+/Courier-BoldOblique starnetISO def
+cleartomark
+} bind def
+
+%%BeginResource: procset graphviz 0 0
+/coord-font-family /Times-Roman def
+/default-font-family /Times-Roman def
+/coordfont coord-font-family findfont 8 scalefont def
+
+/InvScaleFactor 1.0 def
+/set_scale {
+       dup 1 exch div /InvScaleFactor exch def
+       scale
+} bind def
+
+% styles
+/solid { [] 0 setdash } bind def
+/dashed { [9 InvScaleFactor mul dup ] 0 setdash } bind def
+/dotted { [1 InvScaleFactor mul 6 InvScaleFactor mul] 0 setdash } bind def
+/invis {/fill {newpath} def /stroke {newpath} def /show {pop newpath} def} bind def
+/bold { 2 setlinewidth } bind def
+/filled { } bind def
+/unfilled { } bind def
+/rounded { } bind def
+/diagonals { } bind def
+/tapered { } bind def
+
+% hooks for setting color 
+/nodecolor { sethsbcolor } bind def
+/edgecolor { sethsbcolor } bind def
+/graphcolor { sethsbcolor } bind def
+/nopcolor {pop pop pop} bind def
+
+/beginpage {   % i j npages
+       /npages exch def
+       /j exch def
+       /i exch def
+       /str 10 string def
+       npages 1 gt {
+               gsave
+                       coordfont setfont
+                       0 0 moveto
+                       (\() show i str cvs show (,) show j str cvs show (\)) show
+               grestore
+       } if
+} bind def
+
+/set_font {
+       findfont exch
+       scalefont setfont
+} def
+
+% draw text fitted to its expected width
+/alignedtext {                 % width text
+       /text exch def
+       /width exch def
+       gsave
+               width 0 gt {
+                       [] 0 setdash
+                       text stringwidth pop width exch sub text length div 0 text ashow
+               } if
+       grestore
+} def
+
+/boxprim {                             % xcorner ycorner xsize ysize
+               4 2 roll
+               moveto
+               2 copy
+               exch 0 rlineto
+               0 exch rlineto
+               pop neg 0 rlineto
+               closepath
+} bind def
+
+/ellipse_path {
+       /ry exch def
+       /rx exch def
+       /y exch def
+       /x exch def
+       matrix currentmatrix
+       newpath
+       x y translate
+       rx ry scale
+       0 0 1 0 360 arc
+       setmatrix
+} bind def
+
+/endpage { showpage } bind def
+/showpage { } def
+
+/layercolorseq
+       [       % layer color sequence - darkest to lightest
+               [0 0 0]
+               [.2 .8 .8]
+               [.4 .8 .8]
+               [.6 .8 .8]
+               [.8 .8 .8]
+       ]
+def
+
+/layerlen layercolorseq length def
+
+/setlayer {/maxlayer exch def /curlayer exch def
+       layercolorseq curlayer 1 sub layerlen mod get
+       aload pop sethsbcolor
+       /nodecolor {nopcolor} def
+       /edgecolor {nopcolor} def
+       /graphcolor {nopcolor} def
+} bind def
+
+/onlayer { curlayer ne {invis} if } def
+
+/onlayers {
+       /myupper exch def
+       /mylower exch def
+       curlayer mylower lt
+       curlayer myupper gt
+       or
+       {invis} if
+} def
+
+/curlayer 0 def
+
+%%EndResource
+%%EndProlog
+%%BeginSetup
+14 default-font-family set_font
+1 setmiterlimit
+% /arrowlength 10 def
+% /arrowwidth 5 def
+
+% make sure pdfmark is harmless for PS-interpreters other than Distiller
+/pdfmark where {pop} {userdict /pdfmark /cleartomark load put} ifelse
+% make '<<' and '>>' safe on PS Level 1 devices
+/languagelevel where {pop languagelevel}{1} ifelse
+2 lt {
+    userdict (<<) cvn ([) cvn load put
+    userdict (>>) cvn ([) cvn load put
+} if
+
+%%EndSetup
+setupLatin1
+%%Page: 1 1
+%%PageBoundingBox: 36 36 622 1011
+%%PageOrientation: Portrait
+0 0 1 beginpage
+gsave
+36 36 586 975 boxprim clip newpath
+1 1 set_scale 0 rotate 40 40 translate
+% nae20c69b2c4d4ea2a239af485ca10f16
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+389.82 940.6 56.64 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+370.32 944.4 moveto 39 (bdabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+357.82 929.4 moveto 64 (dabaabcacb) alignedtext
+grestore
+% nac3868f0d46645ca8bf1b02110448236
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+389.82 850.86 51.74 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+370.32 854.66 moveto 39 (bdabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+361.32 839.66 moveto 57 (dabaabcac) alignedtext
+grestore
+% nae20c69b2c4d4ea2a239af485ca10f16->nac3868f0d46645ca8bf1b02110448236
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 389.82 913.27 moveto
+389.82 905.31 389.82 896.41 389.82 887.93 curveto
+stroke
+0 0 0 edgecolor
+newpath 393.32 887.86 moveto
+389.82 877.86 lineto
+386.32 887.86 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 393.32 887.86 moveto
+389.82 877.86 lineto
+386.32 887.86 lineto
+closepath stroke
+grestore
+% nf5a124f6b457426eaa13f9d58a716fe1
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+333.82 761.12 47.25 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+317.32 764.92 moveto 33 (bdabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+308.32 749.92 moveto 51 (dabaabca) alignedtext
+grestore
+% nac3868f0d46645ca8bf1b02110448236->nf5a124f6b457426eaa13f9d58a716fe1
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 373.92 824.95 moveto
+368.08 815.79 361.37 805.28 355.12 795.5 curveto
+stroke
+0 0 0 edgecolor
+newpath 357.89 793.33 moveto
+349.56 786.78 lineto
+351.99 797.1 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 357.89 793.33 moveto
+349.56 786.78 lineto
+351.99 797.1 lineto
+closepath stroke
+grestore
+% na1b07d40913a48a89651e06846c27489
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+446.82 761.12 47.25 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+427.32 764.92 moveto 39 (bdabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+421.32 749.92 moveto 51 (dabaabca) alignedtext
+grestore
+% nac3868f0d46645ca8bf1b02110448236->na1b07d40913a48a89651e06846c27489
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 406 824.95 moveto
+412.06 815.62 419.04 804.88 425.49 794.95 curveto
+stroke
+0 0 0 edgecolor
+newpath 428.48 796.77 moveto
+430.99 786.48 lineto
+422.61 792.96 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 428.48 796.77 moveto
+430.99 786.48 lineto
+422.61 792.96 lineto
+closepath stroke
+grestore
+% nf82bf143985849a9a14d7272ab8be040
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+333.82 671.38 43.27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+317.32 675.18 moveto 33 (bdabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+311.32 660.18 moveto 45 (dabaabc) alignedtext
+grestore
+% nf5a124f6b457426eaa13f9d58a716fe1->nf82bf143985849a9a14d7272ab8be040
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 333.82 733.79 moveto
+333.82 725.83 333.82 716.93 333.82 708.45 curveto
+stroke
+0 0 0 edgecolor
+newpath 337.32 708.38 moveto
+333.82 698.38 lineto
+330.32 708.38 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 337.32 708.38 moveto
+333.82 698.38 lineto
+330.32 708.38 lineto
+closepath stroke
+grestore
+% nf7b9fd837f974551b0795d7492210e52
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+446.82 671.38 43.27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+427.32 675.18 moveto 39 (bdabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+424.32 660.18 moveto 45 (dabaabc) alignedtext
+grestore
+% na1b07d40913a48a89651e06846c27489->nf7b9fd837f974551b0795d7492210e52
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 446.82 733.79 moveto
+446.82 725.83 446.82 716.93 446.82 708.45 curveto
+stroke
+0 0 0 edgecolor
+newpath 450.32 708.38 moveto
+446.82 698.38 lineto
+443.32 708.38 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 450.32 708.38 moveto
+446.82 698.38 lineto
+443.32 708.38 lineto
+closepath stroke
+grestore
+% nf5694edb16d84740ad75d3c3a9dc33f4
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+242.82 581.64 38.78 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+229.32 585.44 moveto 27 (bdab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+223.32 570.44 moveto 39 (dabaab) alignedtext
+grestore
+% nf82bf143985849a9a14d7272ab8be040->nf5694edb16d84740ad75d3c3a9dc33f4
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 310.86 648.24 moveto
+299.17 636.97 284.83 623.14 272.34 611.1 curveto
+stroke
+0 0 0 edgecolor
+newpath 274.46 608.28 moveto
+264.83 603.86 lineto
+269.6 613.32 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 274.46 608.28 moveto
+264.83 603.86 lineto
+269.6 613.32 lineto
+closepath stroke
+grestore
+% nd6bf8394c44b4af79b2a91534ba13317
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+338.82 581.64 38.78 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+322.32 585.44 moveto 33 (bdabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+319.32 570.44 moveto 39 (dabaab) alignedtext
+grestore
+% nf82bf143985849a9a14d7272ab8be040->nd6bf8394c44b4af79b2a91534ba13317
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 335.32 644.05 moveto
+335.77 636.09 336.28 627.19 336.76 618.71 curveto
+stroke
+0 0 0 edgecolor
+newpath 340.26 618.82 moveto
+337.34 608.64 lineto
+333.27 618.43 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 340.26 618.82 moveto
+337.34 608.64 lineto
+333.27 618.43 lineto
+closepath stroke
+grestore
+% n7734cd7f92a34a3bbb223dac592bd496
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+134.82 481.29 33.88 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+124.82 485.09 moveto 20 (bda) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+118.82 470.09 moveto 32 (dabaa) alignedtext
+grestore
+% nf5694edb16d84740ad75d3c3a9dc33f4->n7734cd7f92a34a3bbb223dac592bd496
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 219.92 559.78 moveto
+203.7 545.01 181.81 525.08 164.29 509.13 curveto
+stroke
+0 0 0 edgecolor
+newpath 166.34 506.26 moveto
+156.59 502.11 lineto
+161.62 511.43 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 166.34 506.26 moveto
+156.59 502.11 lineto
+161.62 511.43 lineto
+closepath stroke
+grestore
+% nad799597664c441f9ccedc62f06247bb
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+247.82 481.29 33.88 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+234.32 485.09 moveto 27 (bdab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+231.82 470.09 moveto 32 (dabaa) alignedtext
+grestore
+% nf5694edb16d84740ad75d3c3a9dc33f4->nad799597664c441f9ccedc62f06247bb
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 244.15 554.54 moveto
+244.71 543.45 245.38 530.33 245.99 518.34 curveto
+stroke
+0 0 0 edgecolor
+newpath 249.49 518.33 moveto
+246.5 508.17 lineto
+242.5 517.98 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 249.49 518.33 moveto
+246.5 508.17 lineto
+242.5 517.98 lineto
+closepath stroke
+grestore
+% ne856116c734a46b1967bddb73c56140f
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+338.82 481.29 34.8 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+322.32 485.09 moveto 33 (bdabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+322.82 470.09 moveto 32 (dabaa) alignedtext
+grestore
+% nd6bf8394c44b4af79b2a91534ba13317->ne856116c734a46b1967bddb73c56140f
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 338.82 554.54 moveto
+338.82 543.45 338.82 530.33 338.82 518.34 curveto
+stroke
+0 0 0 edgecolor
+newpath 342.32 518.17 moveto
+338.82 508.17 lineto
+335.32 518.17 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 342.32 518.17 moveto
+338.82 508.17 lineto
+335.32 518.17 lineto
+closepath stroke
+grestore
+% nf51d59c7071c4725a4e961fd017fd0b6
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+46.82 370.34 29.9 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+39.82 374.14 moveto 14 (bd) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+33.82 359.14 moveto 26 (daba) alignedtext
+grestore
+% n7734cd7f92a34a3bbb223dac592bd496->nf51d59c7071c4725a4e961fd017fd0b6
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 117.01 458.24 moveto
+103.6 441.63 85.08 418.7 70.43 400.57 curveto
+stroke
+0 0 0 edgecolor
+newpath 73.01 398.19 moveto
+64 392.61 lineto
+67.56 402.59 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 73.01 398.19 moveto
+64 392.61 lineto
+67.56 402.59 lineto
+closepath stroke
+grestore
+% nd7f11536d8df400d860ac372d1c3e9f8
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+134.82 370.34 29.9 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+124.82 374.14 moveto 20 (bda) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+121.82 359.14 moveto 26 (daba) alignedtext
+grestore
+% n7734cd7f92a34a3bbb223dac592bd496->nd7f11536d8df400d860ac372d1c3e9f8
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 134.82 454.19 moveto
+134.82 440.18 134.82 422.69 134.82 407.39 curveto
+stroke
+0 0 0 edgecolor
+newpath 138.32 407.22 moveto
+134.82 397.22 lineto
+131.32 407.22 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 138.32 407.22 moveto
+134.82 397.22 lineto
+131.32 407.22 lineto
+closepath stroke
+grestore
+% n55c3278b1aea4bdc92b3d5eb3c09366c
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+251.82 370.34 30.31 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+238.32 374.14 moveto 27 (bdab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+238.82 359.14 moveto 26 (daba) alignedtext
+grestore
+% nad799597664c441f9ccedc62f06247bb->n55c3278b1aea4bdc92b3d5eb3c09366c
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 248.78 454.19 moveto
+249.29 440.18 249.93 422.69 250.5 407.39 curveto
+stroke
+0 0 0 edgecolor
+newpath 254 407.34 moveto
+250.87 397.22 lineto
+247 407.09 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 254 407.34 moveto
+250.87 397.22 lineto
+247 407.09 lineto
+closepath stroke
+grestore
+% n48a2b0c66af943439d0c9767e9181c50
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+38.82 259.38 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+31.82 263.18 moveto 14 (bd) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+28.82 248.18 moveto 20 (dab) alignedtext
+grestore
+% nf51d59c7071c4725a4e961fd017fd0b6->n48a2b0c66af943439d0c9767e9181c50
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 44.92 343.52 moveto
+43.9 329.51 42.61 311.96 41.48 296.61 curveto
+stroke
+0 0 0 edgecolor
+newpath 44.95 296.11 moveto
+40.73 286.4 lineto
+37.97 296.63 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 44.95 296.11 moveto
+40.73 286.4 lineto
+37.97 296.63 lineto
+closepath stroke
+grestore
+% nb1bf7b9e21a64b30a7a536a9b8649e56
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+110.82 259.38 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+103.82 263.18 moveto 14 (bd) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+100.82 248.18 moveto 20 (dab) alignedtext
+grestore
+% nd7f11536d8df400d860ac372d1c3e9f8->nb1bf7b9e21a64b30a7a536a9b8649e56
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 129.19 343.79 moveto
+126.03 329.45 122.04 311.34 118.59 295.66 curveto
+stroke
+0 0 0 edgecolor
+newpath 121.98 294.78 moveto
+116.41 285.77 lineto
+115.14 296.29 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 121.98 294.78 moveto
+116.41 285.77 lineto
+115.14 296.29 lineto
+closepath stroke
+grestore
+% n115e972256cc4394a1eba134f114e4ab
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+182.82 259.38 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+172.82 263.18 moveto 20 (bda) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+172.82 248.18 moveto 20 (dab) alignedtext
+grestore
+% nd7f11536d8df400d860ac372d1c3e9f8->n115e972256cc4394a1eba134f114e4ab
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 145.47 345.16 moveto
+152.12 330.06 160.78 310.42 168.08 293.84 curveto
+stroke
+0 0 0 edgecolor
+newpath 171.37 295.06 moveto
+172.2 284.5 lineto
+164.96 292.24 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 171.37 295.06 moveto
+172.2 284.5 lineto
+164.96 292.24 lineto
+closepath stroke
+grestore
+% nfee98ef394994c0b9664921c73ae7882
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+33.82 148.43 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+26.82 152.23 moveto 14 (bd) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+27.32 137.23 moveto 13 (da) alignedtext
+grestore
+% n48a2b0c66af943439d0c9767e9181c50->nfee98ef394994c0b9664921c73ae7882
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 37.62 232.29 moveto
+36.98 218.27 36.18 200.78 35.47 185.48 curveto
+stroke
+0 0 0 edgecolor
+newpath 38.96 185.14 moveto
+35.01 175.31 lineto
+31.97 185.46 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 38.96 185.14 moveto
+35.01 175.31 lineto
+31.97 185.46 lineto
+closepath stroke
+grestore
+% n077956a8b783437ba5a65c3fd3380e2f
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+31.82 37.48 31.64 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+24.82 48.78 moveto 14 (bd) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+28.32 33.78 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+17.32 18.78 moveto 29 (False) alignedtext
+grestore
+% nfee98ef394994c0b9664921c73ae7882->n077956a8b783437ba5a65c3fd3380e2f
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 33.34 121.33 moveto
+33.14 110.51 32.91 97.62 32.68 85.27 curveto
+stroke
+0 0 0 edgecolor
+newpath 36.17 85.01 moveto
+32.49 75.07 lineto
+29.18 85.13 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 36.17 85.01 moveto
+32.49 75.07 lineto
+29.18 85.13 lineto
+closepath stroke
+grestore
+% nb0329d485ca14bfaa79caa33670a8699
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+110.82 148.43 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+103.82 152.23 moveto 14 (bd) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+104.32 137.23 moveto 13 (da) alignedtext
+grestore
+% nb1bf7b9e21a64b30a7a536a9b8649e56->nb0329d485ca14bfaa79caa33670a8699
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 110.82 232.29 moveto
+110.82 218.27 110.82 200.78 110.82 185.48 curveto
+stroke
+0 0 0 edgecolor
+newpath 114.32 185.31 moveto
+110.82 175.31 lineto
+107.32 185.31 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 114.32 185.31 moveto
+110.82 175.31 lineto
+107.32 185.31 lineto
+closepath stroke
+grestore
+% na78115224d9f4e37b4045f6c30e4ceb1
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+187.82 148.43 31.64 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+177.82 159.73 moveto 20 (bda) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+181.32 144.73 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+173.32 129.73 moveto 29 (False) alignedtext
+grestore
+% n115e972256cc4394a1eba134f114e4ab->na78115224d9f4e37b4045f6c30e4ceb1
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 184.02 232.29 moveto
+184.51 221.47 185.11 208.57 185.67 196.22 curveto
+stroke
+0 0 0 edgecolor
+newpath 189.18 196.17 moveto
+186.14 186.02 lineto
+182.19 195.85 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 189.18 196.17 moveto
+186.14 186.02 lineto
+182.19 195.85 lineto
+closepath stroke
+grestore
+% ne91eaaeffb1443639b733682718f4092
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+113.82 37.48 31.64 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+106.82 48.78 moveto 14 (bd) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+110.32 33.78 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+99.32 18.78 moveto 29 (False) alignedtext
+grestore
+% nb0329d485ca14bfaa79caa33670a8699->ne91eaaeffb1443639b733682718f4092
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 111.54 121.33 moveto
+111.84 110.51 112.19 97.62 112.53 85.27 curveto
+stroke
+0 0 0 edgecolor
+newpath 116.04 85.16 moveto
+112.81 75.07 lineto
+109.04 84.97 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 116.04 85.16 moveto
+112.81 75.07 lineto
+109.04 84.97 lineto
+closepath stroke
+grestore
+% n5d2503b1d062482b898e4682240dcc78
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+259.82 259.38 31.64 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+246.32 270.68 moveto 27 (bdab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+249.82 255.68 moveto 20 (dab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+245.32 240.68 moveto 29 (False) alignedtext
+grestore
+% n55c3278b1aea4bdc92b3d5eb3c09366c->n5d2503b1d062482b898e4682240dcc78
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 253.72 343.52 moveto
+254.52 332.6 255.48 319.54 256.39 307.04 curveto
+stroke
+0 0 0 edgecolor
+newpath 259.91 306.97 moveto
+257.15 296.74 lineto
+252.93 306.45 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 259.91 306.97 moveto
+257.15 296.74 lineto
+252.93 306.45 lineto
+closepath stroke
+grestore
+% ne0497380dcb04eb9b64499dca04e370b
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+338.82 370.34 34.8 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+322.32 381.64 moveto 33 (bdabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+325.82 366.64 moveto 26 (daba) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+324.32 351.64 moveto 29 (False) alignedtext
+grestore
+% ne856116c734a46b1967bddb73c56140f->ne0497380dcb04eb9b64499dca04e370b
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 338.82 454.19 moveto
+338.82 443.37 338.82 430.48 338.82 418.13 curveto
+stroke
+0 0 0 edgecolor
+newpath 342.32 417.93 moveto
+338.82 407.93 lineto
+335.32 417.93 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 342.32 417.93 moveto
+338.82 407.93 lineto
+335.32 417.93 lineto
+closepath stroke
+grestore
+% n753dfbdd86b543cbb9b246e976d31406
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+442.82 581.64 38.78 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+426.32 585.44 moveto 33 (bdabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+423.32 570.44 moveto 39 (dabaab) alignedtext
+grestore
+% nf7b9fd837f974551b0795d7492210e52->n753dfbdd86b543cbb9b246e976d31406
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 445.62 644.05 moveto
+445.26 636.09 444.85 627.19 444.46 618.71 curveto
+stroke
+0 0 0 edgecolor
+newpath 447.96 618.47 moveto
+444.01 608.64 lineto
+440.96 618.79 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 447.96 618.47 moveto
+444.01 608.64 lineto
+440.96 618.79 lineto
+closepath stroke
+grestore
+% n556f3f77789b40f0b332b55e20828606
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+538.82 581.64 38.78 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+519.32 585.44 moveto 39 (bdabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+519.32 570.44 moveto 39 (dabaab) alignedtext
+grestore
+% nf7b9fd837f974551b0795d7492210e52->n556f3f77789b40f0b332b55e20828606
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 470.04 648.24 moveto
+481.85 636.97 496.35 623.14 508.98 611.1 curveto
+stroke
+0 0 0 edgecolor
+newpath 511.74 613.3 moveto
+516.56 603.86 lineto
+506.91 608.23 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 511.74 613.3 moveto
+516.56 603.86 lineto
+506.91 608.23 lineto
+closepath stroke
+grestore
+% na21720c117704e02910b868caeddb9a9
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+442.82 481.29 34.8 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+426.32 485.09 moveto 33 (bdabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+426.82 470.09 moveto 32 (dabaa) alignedtext
+grestore
+% n753dfbdd86b543cbb9b246e976d31406->na21720c117704e02910b868caeddb9a9
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 442.82 554.54 moveto
+442.82 543.45 442.82 530.33 442.82 518.34 curveto
+stroke
+0 0 0 edgecolor
+newpath 446.32 518.17 moveto
+442.82 508.17 lineto
+439.32 518.17 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 446.32 518.17 moveto
+442.82 508.17 lineto
+439.32 518.17 lineto
+closepath stroke
+grestore
+% n5b6173aea18d41f8b4a2c5ce99cc4d7a
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+538.82 481.29 38.78 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+519.32 492.59 moveto 39 (bdabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+522.82 477.59 moveto 32 (dabaa) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+524.32 462.59 moveto 29 (False) alignedtext
+grestore
+% n556f3f77789b40f0b332b55e20828606->n5b6173aea18d41f8b4a2c5ce99cc4d7a
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 538.82 554.54 moveto
+538.82 546.69 538.82 537.82 538.82 529.05 curveto
+stroke
+0 0 0 edgecolor
+newpath 542.32 528.88 moveto
+538.82 518.88 lineto
+535.32 528.88 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 542.32 528.88 moveto
+538.82 518.88 lineto
+535.32 528.88 lineto
+closepath stroke
+grestore
+% nb1bec31f0ddf4a888f941702a407906f
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+442.82 370.34 34.8 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+426.32 381.64 moveto 33 (bdabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+429.82 366.64 moveto 26 (daba) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+428.32 351.64 moveto 29 (False) alignedtext
+grestore
+% na21720c117704e02910b868caeddb9a9->nb1bec31f0ddf4a888f941702a407906f
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 442.82 454.19 moveto
+442.82 443.37 442.82 430.48 442.82 418.13 curveto
+stroke
+0 0 0 edgecolor
+newpath 446.32 417.93 moveto
+442.82 407.93 lineto
+439.32 417.93 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 446.32 417.93 moveto
+442.82 407.93 lineto
+439.32 417.93 lineto
+closepath stroke
+grestore
+endpage
+showpage
+grestore
+%%PageTrailer
+%%EndPage: 1
+%%Trailer
+%%Pages: 1
+%%BoundingBox: 36 36 622 1011
+end
+restore
+%%EOF

diff --git a/09-resolving-the-bill/gt.dot b/09-resolving-the-bill/gt.dot
new file mode 100644 (file)
index 0000000..a60fdc8
--- /dev/null
+++ b/09-resolving-the-bill/gt.dot
@@ -0,0 +1,84 @@
+digraph G {
+
+nd5092f0e2ba047ba9b662e17a650791a [label="daabcc\ndabaabcacb"];
+nd5092f0e2ba047ba9b662e17a650791a -> nc243f60568164ba495d5f89dc1075a85;
+nc243f60568164ba495d5f89dc1075a85 [label="daabcc\ndabaabcac"];
+nc243f60568164ba495d5f89dc1075a85 -> n933e3a2ebca34034866b98ab19ee3f90;
+nc243f60568164ba495d5f89dc1075a85 -> n3c49af7ea69340f2a97827a0547f73db;
+n933e3a2ebca34034866b98ab19ee3f90 [label="daabc\ndabaabca"];
+n933e3a2ebca34034866b98ab19ee3f90 -> n8d50442e9d704d7a8e9f0ba2f38e73fc;
+n8d50442e9d704d7a8e9f0ba2f38e73fc [label="daabc\ndabaabc"];
+n8d50442e9d704d7a8e9f0ba2f38e73fc -> n942c205bd0994681bf159f01fc42d0f5;
+n8d50442e9d704d7a8e9f0ba2f38e73fc -> n8aab1aa30e494cef8895ff177a1d0623;
+n942c205bd0994681bf159f01fc42d0f5 [label="daab\ndabaab"];
+n942c205bd0994681bf159f01fc42d0f5 -> na797ca966ed045d5a14888ef06ae64ba;
+n942c205bd0994681bf159f01fc42d0f5 -> nd7ea02b3fb6348e49929c458903e1c66;
+na797ca966ed045d5a14888ef06ae64ba [label="daa\ndabaa"];
+na797ca966ed045d5a14888ef06ae64ba -> nfc8f27c7ea3b45f69d3e28ff7397c211;
+na797ca966ed045d5a14888ef06ae64ba -> nfc96ed80812342958197f351bf4bb6c4;
+nfc8f27c7ea3b45f69d3e28ff7397c211 [label="da\ndaba"];
+nfc8f27c7ea3b45f69d3e28ff7397c211 -> n0fba1674138c4ee2a437ec3bfe3c0c34;
+nfc8f27c7ea3b45f69d3e28ff7397c211 -> n214435af4c204b2bac186c6bc7fd4b43;
+n0fba1674138c4ee2a437ec3bfe3c0c34 [label="d\ndab"];
+n0fba1674138c4ee2a437ec3bfe3c0c34 -> nbbbca27c4d794d3396c58908f36ad8b1;
+nbbbca27c4d794d3396c58908f36ad8b1 [label="d\nda"];
+nbbbca27c4d794d3396c58908f36ad8b1 -> n4a39eb3283ba4896bd0ae98e695a5e78;
+n4a39eb3283ba4896bd0ae98e695a5e78 [label="d\nd"];
+n4a39eb3283ba4896bd0ae98e695a5e78 -> n0f69ba31cb9341b8a0e01b58e94ecc3e;
+n4a39eb3283ba4896bd0ae98e695a5e78 -> n01a1efd1fe0148409aa9ae19a57a1c11;
+n0f69ba31cb9341b8a0e01b58e94ecc3e [label="-\n\nTrue"];
+n01a1efd1fe0148409aa9ae19a57a1c11 [label="d\n\nFalse"];
+n214435af4c204b2bac186c6bc7fd4b43 [label="da\ndab"];
+n214435af4c204b2bac186c6bc7fd4b43 -> n7f75729c74d944199866bc8242166a15;
+n7f75729c74d944199866bc8242166a15 [label="da\nda"];
+n7f75729c74d944199866bc8242166a15 -> nfe2ac3cf290844a686eb20c8a1419632;
+n7f75729c74d944199866bc8242166a15 -> n99dabcab19424f76aade00e10b247e28;
+nfe2ac3cf290844a686eb20c8a1419632 [label="d\nd"];
+nfe2ac3cf290844a686eb20c8a1419632 -> n4ef4c358f84b44f0816ee6c23bc87c23;
+nfe2ac3cf290844a686eb20c8a1419632 -> n0fcf711c28b84e869cd5b1ad29147b79;
+n4ef4c358f84b44f0816ee6c23bc87c23 [label="-\n\nTrue"];
+n0fcf711c28b84e869cd5b1ad29147b79 [label="d\n\nFalse"];
+n99dabcab19424f76aade00e10b247e28 [label="da\nd\nFalse"];
+nfc96ed80812342958197f351bf4bb6c4 [label="daa\ndaba"];
+nfc96ed80812342958197f351bf4bb6c4 -> n6f68fb9a9f774752ada474efa377f60e;
+nfc96ed80812342958197f351bf4bb6c4 -> ne0abe88f3d764703a75eed757cc316bf;
+n6f68fb9a9f774752ada474efa377f60e [label="da\ndab"];
+n6f68fb9a9f774752ada474efa377f60e -> n9c89649fee58407db0ff5d0ba2eb4f2d;
+n9c89649fee58407db0ff5d0ba2eb4f2d [label="da\nda"];
+n9c89649fee58407db0ff5d0ba2eb4f2d -> n34738b8c332d4e559f9aa7c7eec42e72;
+n9c89649fee58407db0ff5d0ba2eb4f2d -> n446a9bd7fa264edcb2bf289b4fe55f71;
+n34738b8c332d4e559f9aa7c7eec42e72 [label="d\nd"];
+n34738b8c332d4e559f9aa7c7eec42e72 -> n73e44dd0c7f248a3bd4aa11de6040c5f;
+n34738b8c332d4e559f9aa7c7eec42e72 -> n7af9d67feb864b8ea552f84d64b3e610;
+n73e44dd0c7f248a3bd4aa11de6040c5f [label="-\n\nTrue"];
+n7af9d67feb864b8ea552f84d64b3e610 [label="d\n\nFalse"];
+n446a9bd7fa264edcb2bf289b4fe55f71 [label="da\nd\nFalse"];
+ne0abe88f3d764703a75eed757cc316bf [label="daa\ndab"];
+ne0abe88f3d764703a75eed757cc316bf -> n639c085cdfa84e26a754dd4aa56a044e;
+n639c085cdfa84e26a754dd4aa56a044e [label="daa\nda\nFalse"];
+nd7ea02b3fb6348e49929c458903e1c66 [label="daab\ndabaa"];
+nd7ea02b3fb6348e49929c458903e1c66 -> nbfa7d3dbec204c328749c3db14b668ea;
+nbfa7d3dbec204c328749c3db14b668ea [label="daab\ndaba"];
+nbfa7d3dbec204c328749c3db14b668ea -> nabacc0aef05041c5998655b5e68b6d94;
+nabacc0aef05041c5998655b5e68b6d94 [label="daab\ndab\nFalse"];
+n8aab1aa30e494cef8895ff177a1d0623 [label="daabc\ndabaab"];
+n8aab1aa30e494cef8895ff177a1d0623 -> nd04c429a65b74db8902b1a2725254549;
+nd04c429a65b74db8902b1a2725254549 [label="daabc\ndabaa"];
+nd04c429a65b74db8902b1a2725254549 -> nff340dd0af774bf0818a959dad441b84;
+nff340dd0af774bf0818a959dad441b84 [label="daabc\ndaba\nFalse"];
+n3c49af7ea69340f2a97827a0547f73db [label="daabcc\ndabaabca"];
+n3c49af7ea69340f2a97827a0547f73db -> n5f1bfeaf12e247d9bc9ca4641cb72fb5;
+n5f1bfeaf12e247d9bc9ca4641cb72fb5 [label="daabcc\ndabaabc"];
+n5f1bfeaf12e247d9bc9ca4641cb72fb5 -> na504494b1bc842bd800600c18478723a;
+n5f1bfeaf12e247d9bc9ca4641cb72fb5 -> n13e17edfcd5a4128996ba5dd2473f244;
+na504494b1bc842bd800600c18478723a [label="daabc\ndabaab"];
+na504494b1bc842bd800600c18478723a -> n78a73478b48c43d594e6a04a79c61946;
+n78a73478b48c43d594e6a04a79c61946 [label="daabc\ndabaa"];
+n78a73478b48c43d594e6a04a79c61946 -> na3c9f1e44c6546ba9b4c49c48ae842ba;
+na3c9f1e44c6546ba9b4c49c48ae842ba [label="daabc\ndaba\nFalse"];
+n13e17edfcd5a4128996ba5dd2473f244 [label="daabcc\ndabaab"];
+n13e17edfcd5a4128996ba5dd2473f244 -> n5624db7a63c643bcafb2ba6797348bba;
+n5624db7a63c643bcafb2ba6797348bba [label="daabcc\ndabaa\nFalse"];
+
+
+}

diff --git a/09-resolving-the-bill/gt.dot.png b/09-resolving-the-bill/gt.dot.png
new file mode 100644 (file)
index 0000000..23a3ce3
Binary files /dev/null and b/09-resolving-the-bill/gt.dot.png differ

diff --git a/09-resolving-the-bill/gt.dot.ps b/09-resolving-the-bill/gt.dot.ps
new file mode 100644 (file)
index 0000000..a235a9b
--- /dev/null
+++ b/09-resolving-the-bill/gt.dot.ps
@@ -0,0 +1,1479 @@
+%!PS-Adobe-3.0
+%%Creator: graphviz version 2.38.0 (20140413.2041)
+%%Title: G
+%%Pages: (atend)
+%%BoundingBox: (atend)
+%%EndComments
+save
+%%BeginProlog
+/DotDict 200 dict def
+DotDict begin
+
+/setupLatin1 {
+mark
+/EncodingVector 256 array def
+ EncodingVector 0
+
+ISOLatin1Encoding 0 255 getinterval putinterval
+EncodingVector 45 /hyphen put
+
+% Set up ISO Latin 1 character encoding
+/starnetISO {
+        dup dup findfont dup length dict begin
+        { 1 index /FID ne { def }{ pop pop } ifelse
+        } forall
+        /Encoding EncodingVector def
+        currentdict end definefont
+} def
+/Times-Roman starnetISO def
+/Times-Italic starnetISO def
+/Times-Bold starnetISO def
+/Times-BoldItalic starnetISO def
+/Helvetica starnetISO def
+/Helvetica-Oblique starnetISO def
+/Helvetica-Bold starnetISO def
+/Helvetica-BoldOblique starnetISO def
+/Courier starnetISO def
+/Courier-Oblique starnetISO def
+/Courier-Bold starnetISO def
+/Courier-BoldOblique starnetISO def
+cleartomark
+} bind def
+
+%%BeginResource: procset graphviz 0 0
+/coord-font-family /Times-Roman def
+/default-font-family /Times-Roman def
+/coordfont coord-font-family findfont 8 scalefont def
+
+/InvScaleFactor 1.0 def
+/set_scale {
+       dup 1 exch div /InvScaleFactor exch def
+       scale
+} bind def
+
+% styles
+/solid { [] 0 setdash } bind def
+/dashed { [9 InvScaleFactor mul dup ] 0 setdash } bind def
+/dotted { [1 InvScaleFactor mul 6 InvScaleFactor mul] 0 setdash } bind def
+/invis {/fill {newpath} def /stroke {newpath} def /show {pop newpath} def} bind def
+/bold { 2 setlinewidth } bind def
+/filled { } bind def
+/unfilled { } bind def
+/rounded { } bind def
+/diagonals { } bind def
+/tapered { } bind def
+
+% hooks for setting color 
+/nodecolor { sethsbcolor } bind def
+/edgecolor { sethsbcolor } bind def
+/graphcolor { sethsbcolor } bind def
+/nopcolor {pop pop pop} bind def
+
+/beginpage {   % i j npages
+       /npages exch def
+       /j exch def
+       /i exch def
+       /str 10 string def
+       npages 1 gt {
+               gsave
+                       coordfont setfont
+                       0 0 moveto
+                       (\() show i str cvs show (,) show j str cvs show (\)) show
+               grestore
+       } if
+} bind def
+
+/set_font {
+       findfont exch
+       scalefont setfont
+} def
+
+% draw text fitted to its expected width
+/alignedtext {                 % width text
+       /text exch def
+       /width exch def
+       gsave
+               width 0 gt {
+                       [] 0 setdash
+                       text stringwidth pop width exch sub text length div 0 text ashow
+               } if
+       grestore
+} def
+
+/boxprim {                             % xcorner ycorner xsize ysize
+               4 2 roll
+               moveto
+               2 copy
+               exch 0 rlineto
+               0 exch rlineto
+               pop neg 0 rlineto
+               closepath
+} bind def
+
+/ellipse_path {
+       /ry exch def
+       /rx exch def
+       /y exch def
+       /x exch def
+       matrix currentmatrix
+       newpath
+       x y translate
+       rx ry scale
+       0 0 1 0 360 arc
+       setmatrix
+} bind def
+
+/endpage { showpage } bind def
+/showpage { } def
+
+/layercolorseq
+       [       % layer color sequence - darkest to lightest
+               [0 0 0]
+               [.2 .8 .8]
+               [.4 .8 .8]
+               [.6 .8 .8]
+               [.8 .8 .8]
+       ]
+def
+
+/layerlen layercolorseq length def
+
+/setlayer {/maxlayer exch def /curlayer exch def
+       layercolorseq curlayer 1 sub layerlen mod get
+       aload pop sethsbcolor
+       /nodecolor {nopcolor} def
+       /edgecolor {nopcolor} def
+       /graphcolor {nopcolor} def
+} bind def
+
+/onlayer { curlayer ne {invis} if } def
+
+/onlayers {
+       /myupper exch def
+       /mylower exch def
+       curlayer mylower lt
+       curlayer myupper gt
+       or
+       {invis} if
+} def
+
+/curlayer 0 def
+
+%%EndResource
+%%EndProlog
+%%BeginSetup
+14 default-font-family set_font
+1 setmiterlimit
+% /arrowlength 10 def
+% /arrowwidth 5 def
+
+% make sure pdfmark is harmless for PS-interpreters other than Distiller
+/pdfmark where {pop} {userdict /pdfmark /cleartomark load put} ifelse
+% make '<<' and '>>' safe on PS Level 1 devices
+/languagelevel where {pop languagelevel}{1} ifelse
+2 lt {
+    userdict (<<) cvn ([) cvn load put
+    userdict (>>) cvn ([) cvn load put
+} if
+
+%%EndSetup
+setupLatin1
+%%Page: 1 1
+%%PageBoundingBox: 36 36 853 1124
+%%PageOrientation: Portrait
+0 0 1 beginpage
+gsave
+36 36 817 1088 boxprim clip newpath
+1 1 set_scale 0 rotate 40 40 translate
+% nd5092f0e2ba047ba9b662e17a650791a
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+620.7 1052.96 56.64 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+601.7 1056.76 moveto 38 (daabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+588.7 1041.76 moveto 64 (dabaabcacb) alignedtext
+grestore
+% nc243f60568164ba495d5f89dc1075a85
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+620.7 963.22 51.74 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+601.7 967.02 moveto 38 (daabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+592.2 952.02 moveto 57 (dabaabcac) alignedtext
+grestore
+% nd5092f0e2ba047ba9b662e17a650791a->nc243f60568164ba495d5f89dc1075a85
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 620.7 1025.64 moveto
+620.7 1017.67 620.7 1008.78 620.7 1000.29 curveto
+stroke
+0 0 0 edgecolor
+newpath 624.2 1000.23 moveto
+620.7 990.23 lineto
+617.2 1000.23 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 624.2 1000.23 moveto
+620.7 990.23 lineto
+617.2 1000.23 lineto
+closepath stroke
+grestore
+% n933e3a2ebca34034866b98ab19ee3f90
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+564.7 873.48 47.25 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+548.7 877.28 moveto 32 (daabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+539.2 862.28 moveto 51 (dabaabca) alignedtext
+grestore
+% nc243f60568164ba495d5f89dc1075a85->n933e3a2ebca34034866b98ab19ee3f90
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 604.8 937.32 moveto
+598.96 928.16 592.24 917.64 586 907.86 curveto
+stroke
+0 0 0 edgecolor
+newpath 588.77 905.7 moveto
+580.44 899.15 lineto
+582.87 909.46 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 588.77 905.7 moveto
+580.44 899.15 lineto
+582.87 909.46 lineto
+closepath stroke
+grestore
+% n3c49af7ea69340f2a97827a0547f73db
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+677.7 873.48 47.25 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+658.7 877.28 moveto 38 (daabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+652.2 862.28 moveto 51 (dabaabca) alignedtext
+grestore
+% nc243f60568164ba495d5f89dc1075a85->n3c49af7ea69340f2a97827a0547f73db
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 636.88 937.32 moveto
+642.94 927.99 649.92 917.25 656.37 907.31 curveto
+stroke
+0 0 0 edgecolor
+newpath 659.36 909.14 moveto
+661.87 898.85 lineto
+653.49 905.33 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 659.36 909.14 moveto
+661.87 898.85 lineto
+653.49 905.33 lineto
+closepath stroke
+grestore
+% n8d50442e9d704d7a8e9f0ba2f38e73fc
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+564.7 783.74 43.27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+548.7 787.54 moveto 32 (daabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+542.2 772.54 moveto 45 (dabaabc) alignedtext
+grestore
+% n933e3a2ebca34034866b98ab19ee3f90->n8d50442e9d704d7a8e9f0ba2f38e73fc
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 564.7 846.16 moveto
+564.7 838.19 564.7 829.3 564.7 820.81 curveto
+stroke
+0 0 0 edgecolor
+newpath 568.2 820.75 moveto
+564.7 810.75 lineto
+561.2 820.75 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 568.2 820.75 moveto
+564.7 810.75 lineto
+561.2 820.75 lineto
+closepath stroke
+grestore
+% n5f1bfeaf12e247d9bc9ca4641cb72fb5
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+677.7 783.74 43.27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+658.7 787.54 moveto 38 (daabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+655.2 772.54 moveto 45 (dabaabc) alignedtext
+grestore
+% n3c49af7ea69340f2a97827a0547f73db->n5f1bfeaf12e247d9bc9ca4641cb72fb5
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 677.7 846.16 moveto
+677.7 838.19 677.7 829.3 677.7 820.81 curveto
+stroke
+0 0 0 edgecolor
+newpath 681.2 820.75 moveto
+677.7 810.75 lineto
+674.2 820.75 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 681.2 820.75 moveto
+677.7 810.75 lineto
+674.2 820.75 lineto
+closepath stroke
+grestore
+% n942c205bd0994681bf159f01fc42d0f5
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+473.7 694 38.78 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+460.7 697.8 moveto 26 (daab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+454.2 682.8 moveto 39 (dabaab) alignedtext
+grestore
+% n8d50442e9d704d7a8e9f0ba2f38e73fc->n942c205bd0994681bf159f01fc42d0f5
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 541.74 760.6 moveto
+530.05 749.34 515.71 735.51 503.21 723.46 curveto
+stroke
+0 0 0 edgecolor
+newpath 505.34 720.65 moveto
+495.71 716.23 lineto
+500.48 725.69 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 505.34 720.65 moveto
+495.71 716.23 lineto
+500.48 725.69 lineto
+closepath stroke
+grestore
+% n8aab1aa30e494cef8895ff177a1d0623
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+569.7 694 38.78 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+553.7 697.8 moveto 32 (daabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+550.2 682.8 moveto 39 (dabaab) alignedtext
+grestore
+% n8d50442e9d704d7a8e9f0ba2f38e73fc->n8aab1aa30e494cef8895ff177a1d0623
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 566.2 756.42 moveto
+566.65 748.45 567.16 739.56 567.64 731.07 curveto
+stroke
+0 0 0 edgecolor
+newpath 571.14 731.19 moveto
+568.22 721.01 lineto
+564.15 730.79 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 571.14 731.19 moveto
+568.22 721.01 lineto
+564.15 730.79 lineto
+closepath stroke
+grestore
+% na797ca966ed045d5a14888ef06ae64ba
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+363.7 593.66 33.88 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+354.2 597.46 moveto 19 (daa) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+347.7 582.46 moveto 32 (dabaa) alignedtext
+grestore
+% n942c205bd0994681bf159f01fc42d0f5->na797ca966ed045d5a14888ef06ae64ba
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 450.37 672.15 moveto
+433.85 657.38 411.56 637.45 393.72 621.49 curveto
+stroke
+0 0 0 edgecolor
+newpath 395.66 618.53 moveto
+385.87 614.48 lineto
+390.99 623.75 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 395.66 618.53 moveto
+385.87 614.48 lineto
+390.99 623.75 lineto
+closepath stroke
+grestore
+% nd7ea02b3fb6348e49929c458903e1c66
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+478.7 593.66 33.88 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+465.7 597.46 moveto 26 (daab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+462.7 582.46 moveto 32 (dabaa) alignedtext
+grestore
+% n942c205bd0994681bf159f01fc42d0f5->nd7ea02b3fb6348e49929c458903e1c66
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 475.03 666.91 moveto
+475.59 655.82 476.26 642.7 476.87 630.71 curveto
+stroke
+0 0 0 edgecolor
+newpath 480.37 630.7 moveto
+477.38 620.54 lineto
+473.38 630.34 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 480.37 630.7 moveto
+477.38 620.54 lineto
+473.38 630.34 lineto
+closepath stroke
+grestore
+% nd04c429a65b74db8902b1a2725254549
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+569.7 593.66 33.88 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+553.7 597.46 moveto 32 (daabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+553.7 582.46 moveto 32 (dabaa) alignedtext
+grestore
+% n8aab1aa30e494cef8895ff177a1d0623->nd04c429a65b74db8902b1a2725254549
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 569.7 666.91 moveto
+569.7 655.82 569.7 642.7 569.7 630.71 curveto
+stroke
+0 0 0 edgecolor
+newpath 573.2 630.54 moveto
+569.7 620.54 lineto
+566.2 630.54 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 573.2 630.54 moveto
+569.7 620.54 lineto
+566.2 630.54 lineto
+closepath stroke
+grestore
+% nfc8f27c7ea3b45f69d3e28ff7397c211
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+230.7 482.7 29.9 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+224.2 486.5 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+217.7 471.5 moveto 26 (daba) alignedtext
+grestore
+% na797ca966ed045d5a14888ef06ae64ba->nfc8f27c7ea3b45f69d3e28ff7397c211
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 340.53 573.68 moveto
+318.2 555.38 284.32 527.63 260.09 507.78 curveto
+stroke
+0 0 0 edgecolor
+newpath 262.23 505.01 moveto
+252.28 501.38 lineto
+257.8 510.43 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 262.23 505.01 moveto
+252.28 501.38 lineto
+257.8 510.43 lineto
+closepath stroke
+grestore
+% nfc96ed80812342958197f351bf4bb6c4
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+363.7 482.7 29.9 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+354.2 486.5 moveto 19 (daa) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+350.7 471.5 moveto 26 (daba) alignedtext
+grestore
+% na797ca966ed045d5a14888ef06ae64ba->nfc96ed80812342958197f351bf4bb6c4
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 363.7 566.56 moveto
+363.7 552.55 363.7 535.05 363.7 519.76 curveto
+stroke
+0 0 0 edgecolor
+newpath 367.2 519.59 moveto
+363.7 509.59 lineto
+360.2 519.59 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 367.2 519.59 moveto
+363.7 509.59 lineto
+360.2 519.59 lineto
+closepath stroke
+grestore
+% nbfa7d3dbec204c328749c3db14b668ea
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+483.7 482.7 29.9 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+470.7 486.5 moveto 26 (daab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+470.7 471.5 moveto 26 (daba) alignedtext
+grestore
+% nd7ea02b3fb6348e49929c458903e1c66->nbfa7d3dbec204c328749c3db14b668ea
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 479.9 566.56 moveto
+480.54 552.55 481.34 535.05 482.04 519.76 curveto
+stroke
+0 0 0 edgecolor
+newpath 485.55 519.74 moveto
+482.51 509.59 lineto
+478.56 519.42 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 485.55 519.74 moveto
+482.51 509.59 lineto
+478.56 519.42 lineto
+closepath stroke
+grestore
+% n0fba1674138c4ee2a437ec3bfe3c0c34
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+115.7 371.75 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+112.2 375.55 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+105.7 360.55 moveto 20 (dab) alignedtext
+grestore
+% nfc8f27c7ea3b45f69d3e28ff7397c211->n0fba1674138c4ee2a437ec3bfe3c0c34
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 210.67 462.73 moveto
+191.75 444.81 163.26 417.81 142.42 398.07 curveto
+stroke
+0 0 0 edgecolor
+newpath 144.78 395.49 moveto
+135.12 391.15 lineto
+139.97 400.57 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 144.78 395.49 moveto
+135.12 391.15 lineto
+139.97 400.57 lineto
+closepath stroke
+grestore
+% n214435af4c204b2bac186c6bc7fd4b43
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+230.7 371.75 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+224.2 375.55 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+220.7 360.55 moveto 20 (dab) alignedtext
+grestore
+% nfc8f27c7ea3b45f69d3e28ff7397c211->n214435af4c204b2bac186c6bc7fd4b43
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 230.7 455.61 moveto
+230.7 441.59 230.7 424.1 230.7 408.8 curveto
+stroke
+0 0 0 edgecolor
+newpath 234.2 408.63 moveto
+230.7 398.63 lineto
+227.2 408.63 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 234.2 408.63 moveto
+230.7 398.63 lineto
+227.2 408.63 lineto
+closepath stroke
+grestore
+% n6f68fb9a9f774752ada474efa377f60e
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+349.7 371.75 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+343.2 375.55 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+339.7 360.55 moveto 20 (dab) alignedtext
+grestore
+% nfc96ed80812342958197f351bf4bb6c4->n6f68fb9a9f774752ada474efa377f60e
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 360.38 455.88 moveto
+358.58 441.87 356.33 424.33 354.35 408.97 curveto
+stroke
+0 0 0 edgecolor
+newpath 357.79 408.24 moveto
+353.04 398.76 lineto
+350.84 409.13 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 357.79 408.24 moveto
+353.04 398.76 lineto
+350.84 409.13 lineto
+closepath stroke
+grestore
+% ne0abe88f3d764703a75eed757cc316bf
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+421.7 371.75 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+412.2 375.55 moveto 19 (daa) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+411.7 360.55 moveto 20 (dab) alignedtext
+grestore
+% nfc96ed80812342958197f351bf4bb6c4->ne0abe88f3d764703a75eed757cc316bf
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 376.28 458.06 moveto
+384.55 442.54 395.47 422.03 404.52 405.01 curveto
+stroke
+0 0 0 edgecolor
+newpath 407.73 406.44 moveto
+409.34 395.97 lineto
+401.55 403.15 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 407.73 406.44 moveto
+409.34 395.97 lineto
+401.55 403.15 lineto
+closepath stroke
+grestore
+% nbbbca27c4d794d3396c58908f36ad8b1
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+111.7 260.8 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+108.2 264.6 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+105.2 249.6 moveto 13 (da) alignedtext
+grestore
+% n0fba1674138c4ee2a437ec3bfe3c0c34->nbbbca27c4d794d3396c58908f36ad8b1
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 114.74 344.65 moveto
+114.23 330.64 113.58 313.15 113.02 297.85 curveto
+stroke
+0 0 0 edgecolor
+newpath 116.51 297.55 moveto
+112.65 287.68 lineto
+109.52 297.8 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 116.51 297.55 moveto
+112.65 287.68 lineto
+109.52 297.8 lineto
+closepath stroke
+grestore
+% n7f75729c74d944199866bc8242166a15
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+230.7 260.8 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+224.2 264.6 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+224.2 249.6 moveto 13 (da) alignedtext
+grestore
+% n214435af4c204b2bac186c6bc7fd4b43->n7f75729c74d944199866bc8242166a15
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 230.7 344.65 moveto
+230.7 330.64 230.7 313.15 230.7 297.85 curveto
+stroke
+0 0 0 edgecolor
+newpath 234.2 297.68 moveto
+230.7 287.68 lineto
+227.2 297.68 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 234.2 297.68 moveto
+230.7 287.68 lineto
+227.2 297.68 lineto
+closepath stroke
+grestore
+% n4a39eb3283ba4896bd0ae98e695a5e78
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+109.7 149.84 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+106.2 153.64 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+106.2 138.64 moveto 7 (d) alignedtext
+grestore
+% nbbbca27c4d794d3396c58908f36ad8b1->n4a39eb3283ba4896bd0ae98e695a5e78
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 111.22 233.7 moveto
+110.96 219.69 110.64 202.19 110.36 186.9 curveto
+stroke
+0 0 0 edgecolor
+newpath 113.86 186.66 moveto
+110.17 176.73 lineto
+106.86 186.79 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 113.86 186.66 moveto
+110.17 176.73 lineto
+106.86 186.79 lineto
+closepath stroke
+grestore
+% n0f69ba31cb9341b8a0e01b58e94ecc3e
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+29.7 38.18 29.9 38.37 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+27.2 49.98 moveto 5 (-) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+16.7 18.98 moveto 26 (True) alignedtext
+grestore
+% n4a39eb3283ba4896bd0ae98e695a5e78->n0f69ba31cb9341b8a0e01b58e94ecc3e
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 94.27 127.7 moveto
+83.35 112.72 68.43 92.27 55.68 74.8 curveto
+stroke
+0 0 0 edgecolor
+newpath 58.35 72.52 moveto
+49.63 66.5 lineto
+52.69 76.64 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 58.35 72.52 moveto
+49.63 66.5 lineto
+52.69 76.64 lineto
+closepath stroke
+grestore
+% n01a1efd1fe0148409aa9ae19a57a1c11
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+109.7 38.18 31.64 38.37 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+106.2 49.98 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+95.2 18.98 moveto 29 (False) alignedtext
+grestore
+% n4a39eb3283ba4896bd0ae98e695a5e78->n01a1efd1fe0148409aa9ae19a57a1c11
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 109.7 122.86 moveto
+109.7 112.07 109.7 99.2 109.7 86.83 curveto
+stroke
+0 0 0 edgecolor
+newpath 113.2 86.61 moveto
+109.7 76.61 lineto
+106.2 86.61 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 113.2 86.61 moveto
+109.7 76.61 lineto
+106.2 86.61 lineto
+closepath stroke
+grestore
+% nfe2ac3cf290844a686eb20c8a1419632
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+192.7 149.84 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+189.2 153.64 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+189.2 138.64 moveto 7 (d) alignedtext
+grestore
+% n7f75729c74d944199866bc8242166a15->nfe2ac3cf290844a686eb20c8a1419632
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 222.08 235.07 moveto
+216.93 220.31 210.31 201.33 204.66 185.14 curveto
+stroke
+0 0 0 edgecolor
+newpath 207.89 183.76 moveto
+201.29 175.47 lineto
+201.28 186.06 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 207.89 183.76 moveto
+201.29 175.47 lineto
+201.28 186.06 lineto
+closepath stroke
+grestore
+% n99dabcab19424f76aade00e10b247e28
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+269.7 149.84 31.64 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+263.2 161.14 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+266.2 146.14 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+255.2 131.14 moveto 29 (False) alignedtext
+grestore
+% n7f75729c74d944199866bc8242166a15->n99dabcab19424f76aade00e10b247e28
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 239.45 235.35 moveto
+243.79 223.21 249.17 208.19 254.18 194.19 curveto
+stroke
+0 0 0 edgecolor
+newpath 257.5 195.31 moveto
+257.57 184.71 lineto
+250.91 192.95 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 257.5 195.31 moveto
+257.57 184.71 lineto
+250.91 192.95 lineto
+closepath stroke
+grestore
+% n4ef4c358f84b44f0816ee6c23bc87c23
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+189.7 38.18 29.9 38.37 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+187.2 49.98 moveto 5 (-) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+176.7 18.98 moveto 26 (True) alignedtext
+grestore
+% nfe2ac3cf290844a686eb20c8a1419632->n4ef4c358f84b44f0816ee6c23bc87c23
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 191.99 122.86 moveto
+191.69 112.07 191.34 99.2 191 86.83 curveto
+stroke
+0 0 0 edgecolor
+newpath 194.49 86.51 moveto
+190.72 76.61 lineto
+187.5 86.7 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 194.49 86.51 moveto
+190.72 76.61 lineto
+187.5 86.7 lineto
+closepath stroke
+grestore
+% n0fcf711c28b84e869cd5b1ad29147b79
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+269.7 38.18 31.64 38.37 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+266.2 49.98 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+255.2 18.98 moveto 29 (False) alignedtext
+grestore
+% nfe2ac3cf290844a686eb20c8a1419632->n0fcf711c28b84e869cd5b1ad29147b79
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 207.73 127.44 moveto
+217.87 113 231.51 93.57 243.42 76.61 curveto
+stroke
+0 0 0 edgecolor
+newpath 246.58 78.2 moveto
+249.46 68 lineto
+240.85 74.18 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 246.58 78.2 moveto
+249.46 68 lineto
+240.85 74.18 lineto
+closepath stroke
+grestore
+% n9c89649fee58407db0ff5d0ba2eb4f2d
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+349.7 260.8 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+343.2 264.6 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+343.2 249.6 moveto 13 (da) alignedtext
+grestore
+% n6f68fb9a9f774752ada474efa377f60e->n9c89649fee58407db0ff5d0ba2eb4f2d
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 349.7 344.65 moveto
+349.7 330.64 349.7 313.15 349.7 297.85 curveto
+stroke
+0 0 0 edgecolor
+newpath 353.2 297.68 moveto
+349.7 287.68 lineto
+346.2 297.68 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 353.2 297.68 moveto
+349.7 287.68 lineto
+346.2 297.68 lineto
+closepath stroke
+grestore
+% n639c085cdfa84e26a754dd4aa56a044e
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+426.7 260.8 31.64 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+417.2 272.1 moveto 19 (daa) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+420.2 257.1 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+412.2 242.1 moveto 29 (False) alignedtext
+grestore
+% ne0abe88f3d764703a75eed757cc316bf->n639c085cdfa84e26a754dd4aa56a044e
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 422.9 344.65 moveto
+423.39 333.83 423.98 320.94 424.55 308.59 curveto
+stroke
+0 0 0 edgecolor
+newpath 428.06 308.54 moveto
+425.02 298.39 lineto
+421.06 308.22 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 428.06 308.54 moveto
+425.02 298.39 lineto
+421.06 308.22 lineto
+closepath stroke
+grestore
+% n34738b8c332d4e559f9aa7c7eec42e72
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+349.7 149.84 27 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+346.2 153.64 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+346.2 138.64 moveto 7 (d) alignedtext
+grestore
+% n9c89649fee58407db0ff5d0ba2eb4f2d->n34738b8c332d4e559f9aa7c7eec42e72
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 349.7 233.7 moveto
+349.7 219.69 349.7 202.19 349.7 186.9 curveto
+stroke
+0 0 0 edgecolor
+newpath 353.2 186.73 moveto
+349.7 176.73 lineto
+346.2 186.73 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 353.2 186.73 moveto
+349.7 176.73 lineto
+346.2 186.73 lineto
+closepath stroke
+grestore
+% n446a9bd7fa264edcb2bf289b4fe55f71
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+426.7 149.84 31.64 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+420.2 161.14 moveto 13 (da) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+423.2 146.14 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+412.2 131.14 moveto 29 (False) alignedtext
+grestore
+% n9c89649fee58407db0ff5d0ba2eb4f2d->n446a9bd7fa264edcb2bf289b4fe55f71
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 364.91 238.27 moveto
+375.06 223.91 388.67 204.65 400.54 187.86 curveto
+stroke
+0 0 0 edgecolor
+newpath 403.64 189.53 moveto
+406.56 179.35 lineto
+397.93 185.49 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 403.64 189.53 moveto
+406.56 179.35 lineto
+397.93 185.49 lineto
+closepath stroke
+grestore
+% n73e44dd0c7f248a3bd4aa11de6040c5f
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+349.7 38.18 29.9 38.37 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+347.2 49.98 moveto 5 (-) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+336.7 18.98 moveto 26 (True) alignedtext
+grestore
+% n34738b8c332d4e559f9aa7c7eec42e72->n73e44dd0c7f248a3bd4aa11de6040c5f
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 349.7 122.86 moveto
+349.7 112.07 349.7 99.2 349.7 86.83 curveto
+stroke
+0 0 0 edgecolor
+newpath 353.2 86.61 moveto
+349.7 76.61 lineto
+346.2 86.61 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 353.2 86.61 moveto
+349.7 76.61 lineto
+346.2 86.61 lineto
+closepath stroke
+grestore
+% n7af9d67feb864b8ea552f84d64b3e610
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+429.7 38.18 31.64 38.37 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+426.2 49.98 moveto 7 (d) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+415.2 18.98 moveto 29 (False) alignedtext
+grestore
+% n34738b8c332d4e559f9aa7c7eec42e72->n7af9d67feb864b8ea552f84d64b3e610
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 365.12 127.7 moveto
+375.81 113.05 390.33 93.15 402.89 75.93 curveto
+stroke
+0 0 0 edgecolor
+newpath 405.81 77.87 moveto
+408.88 67.73 lineto
+400.15 73.74 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 405.81 77.87 moveto
+408.88 67.73 lineto
+400.15 73.74 lineto
+closepath stroke
+grestore
+% nabacc0aef05041c5998655b5e68b6d94
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+498.7 371.75 31.64 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+485.7 383.05 moveto 26 (daab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+488.7 368.05 moveto 20 (dab) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+484.2 353.05 moveto 29 (False) alignedtext
+grestore
+% nbfa7d3dbec204c328749c3db14b668ea->nabacc0aef05041c5998655b5e68b6d94
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 487.25 455.88 moveto
+488.77 444.86 490.59 431.65 492.33 419.04 curveto
+stroke
+0 0 0 edgecolor
+newpath 495.8 419.49 moveto
+493.69 409.1 lineto
+488.86 418.53 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 495.8 419.49 moveto
+493.69 409.1 lineto
+488.86 418.53 lineto
+closepath stroke
+grestore
+% nff340dd0af774bf0818a959dad441b84
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+569.7 482.7 33.88 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+553.7 494 moveto 32 (daabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+556.7 479 moveto 26 (daba) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+555.2 464 moveto 29 (False) alignedtext
+grestore
+% nd04c429a65b74db8902b1a2725254549->nff340dd0af774bf0818a959dad441b84
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 569.7 566.56 moveto
+569.7 555.74 569.7 542.85 569.7 530.49 curveto
+stroke
+0 0 0 edgecolor
+newpath 573.2 530.3 moveto
+569.7 520.3 lineto
+566.2 530.3 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 573.2 530.3 moveto
+569.7 520.3 lineto
+566.2 530.3 lineto
+closepath stroke
+grestore
+% na504494b1bc842bd800600c18478723a
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+673.7 694 38.78 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+657.7 697.8 moveto 32 (daabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+654.2 682.8 moveto 39 (dabaab) alignedtext
+grestore
+% n5f1bfeaf12e247d9bc9ca4641cb72fb5->na504494b1bc842bd800600c18478723a
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 676.5 756.42 moveto
+676.14 748.45 675.73 739.56 675.34 731.07 curveto
+stroke
+0 0 0 edgecolor
+newpath 678.84 730.84 moveto
+674.88 721.01 lineto
+671.84 731.16 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 678.84 730.84 moveto
+674.88 721.01 lineto
+671.84 731.16 lineto
+closepath stroke
+grestore
+% n13e17edfcd5a4128996ba5dd2473f244
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+769.7 694 38.78 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+750.7 697.8 moveto 38 (daabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+750.2 682.8 moveto 39 (dabaab) alignedtext
+grestore
+% n5f1bfeaf12e247d9bc9ca4641cb72fb5->n13e17edfcd5a4128996ba5dd2473f244
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 700.91 760.6 moveto
+712.73 749.34 727.22 735.51 739.86 723.46 curveto
+stroke
+0 0 0 edgecolor
+newpath 742.62 725.66 moveto
+747.44 716.23 lineto
+737.79 720.6 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 742.62 725.66 moveto
+747.44 716.23 lineto
+737.79 720.6 lineto
+closepath stroke
+grestore
+% n78a73478b48c43d594e6a04a79c61946
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+673.7 593.66 33.88 26.74 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+657.7 597.46 moveto 32 (daabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+657.7 582.46 moveto 32 (dabaa) alignedtext
+grestore
+% na504494b1bc842bd800600c18478723a->n78a73478b48c43d594e6a04a79c61946
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 673.7 666.91 moveto
+673.7 655.82 673.7 642.7 673.7 630.71 curveto
+stroke
+0 0 0 edgecolor
+newpath 677.2 630.54 moveto
+673.7 620.54 lineto
+670.2 630.54 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 677.2 630.54 moveto
+673.7 620.54 lineto
+670.2 630.54 lineto
+closepath stroke
+grestore
+% n5624db7a63c643bcafb2ba6797348bba
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+769.7 593.66 38.37 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+750.7 604.96 moveto 38 (daabcc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+753.7 589.96 moveto 32 (dabaa) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+755.2 574.96 moveto 29 (False) alignedtext
+grestore
+% n13e17edfcd5a4128996ba5dd2473f244->n5624db7a63c643bcafb2ba6797348bba
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 769.7 666.91 moveto
+769.7 659.05 769.7 650.19 769.7 641.42 curveto
+stroke
+0 0 0 edgecolor
+newpath 773.2 641.24 moveto
+769.7 631.24 lineto
+766.2 641.24 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 773.2 641.24 moveto
+769.7 631.24 lineto
+766.2 641.24 lineto
+closepath stroke
+grestore
+% na3c9f1e44c6546ba9b4c49c48ae842ba
+gsave
+1 setlinewidth
+0 0 0 nodecolor
+673.7 482.7 33.88 37.45 ellipse_path stroke
+0 0 0 nodecolor
+14 /Times-Roman set_font
+657.7 494 moveto 32 (daabc) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+660.7 479 moveto 26 (daba) alignedtext
+0 0 0 nodecolor
+14 /Times-Roman set_font
+659.2 464 moveto 29 (False) alignedtext
+grestore
+% n78a73478b48c43d594e6a04a79c61946->na3c9f1e44c6546ba9b4c49c48ae842ba
+gsave
+1 setlinewidth
+0 0 0 edgecolor
+newpath 673.7 566.56 moveto
+673.7 555.74 673.7 542.85 673.7 530.49 curveto
+stroke
+0 0 0 edgecolor
+newpath 677.2 530.3 moveto
+673.7 520.3 lineto
+670.2 530.3 lineto
+closepath fill
+1 setlinewidth
+solid
+0 0 0 edgecolor
+newpath 677.2 530.3 moveto
+673.7 520.3 lineto
+670.2 530.3 lineto
+closepath stroke
+grestore
+endpage
+showpage
+grestore
+%%PageTrailer
+%%EndPage: 1
+%%Trailer
+%%Pages: 1
+%%BoundingBox: 36 36 853 1124
+end
+restore
+%%EOF

diff --git a/09-resolving-the-bill/iaaa.dot b/09-resolving-the-bill/iaaa.dot
new file mode 100644 (file)
index 0000000..93c30f2
--- /dev/null
+++ b/09-resolving-the-bill/iaaa.dot
@@ -0,0 +1,84 @@
+digraph G {
+
+
+n894a2781e978478699af2875308ec4ad [label="aaa\naaa\naaaaaa"];
+n894a2781e978478699af2875308ec4ad -> n863e03f8030547bf9f4e7a4815c4e027;
+n894a2781e978478699af2875308ec4ad -> n4c492e6eb94741d2b11567b1b4c729fa;
+n863e03f8030547bf9f4e7a4815c4e027 [label="aa\naaa\naaaaa"];
+n863e03f8030547bf9f4e7a4815c4e027 -> n8f044087a7324ef69d5cf2ae120c0902;
+n863e03f8030547bf9f4e7a4815c4e027 -> n5510c6a96018480ba0fc2315d34a69e6;
+n8f044087a7324ef69d5cf2ae120c0902 [label="a\naaa\naaaa"];
+n8f044087a7324ef69d5cf2ae120c0902 -> n6f3153ef68384ebbbe5860a48c774d55;
+n8f044087a7324ef69d5cf2ae120c0902 -> n4d068ce52cf248adb3b537805a233dda;
+n6f3153ef68384ebbbe5860a48c774d55 [label="-\naaa\naaa\nTrue"];
+n4d068ce52cf248adb3b537805a233dda [label="a\naa\naaa"];
+n4d068ce52cf248adb3b537805a233dda -> nb85aee31625f4998b596d9b6ea3b77fd;
+n4d068ce52cf248adb3b537805a233dda -> nec2837ce384246ffb06e3d4090adfb37;
+nb85aee31625f4998b596d9b6ea3b77fd [label="-\naa\naa\nTrue"];
+nec2837ce384246ffb06e3d4090adfb37 [label="a\na\naa"];
+nec2837ce384246ffb06e3d4090adfb37 -> n9c395901af2d4e67a7e5a370f759bce6;
+nec2837ce384246ffb06e3d4090adfb37 -> nff84b0c784744901afb3ac8a5aef3c23;
+n9c395901af2d4e67a7e5a370f759bce6 [label="-\na\na\nTrue"];
+nff84b0c784744901afb3ac8a5aef3c23 [label="a\n-\na\nTrue"];
+n5510c6a96018480ba0fc2315d34a69e6 [label="aa\naa\naaaa"];
+n5510c6a96018480ba0fc2315d34a69e6 -> n5eaaabd1caef4c3f8f6607a8bb254906;
+n5510c6a96018480ba0fc2315d34a69e6 -> n6041081af67d4f57968572aa2051d1bc;
+n5eaaabd1caef4c3f8f6607a8bb254906 [label="a\naa\naaa"];
+n5eaaabd1caef4c3f8f6607a8bb254906 -> n6dd23a9ed026429fb57cbf94e6283364;
+n5eaaabd1caef4c3f8f6607a8bb254906 -> n3042bda75e7c4d8f8a9ccc464f0ba724;
+n6dd23a9ed026429fb57cbf94e6283364 [label="-\naa\naa\nTrue"];
+n3042bda75e7c4d8f8a9ccc464f0ba724 [label="a\na\naa"];
+n3042bda75e7c4d8f8a9ccc464f0ba724 -> n5e702eeee87042deb3157b6663b1f07a;
+n3042bda75e7c4d8f8a9ccc464f0ba724 -> n37928d6516f942008c5e89b5c37098ee;
+n5e702eeee87042deb3157b6663b1f07a [label="-\na\na\nTrue"];
+n37928d6516f942008c5e89b5c37098ee [label="a\n-\na\nTrue"];
+n6041081af67d4f57968572aa2051d1bc [label="aa\na\naaa"];
+n6041081af67d4f57968572aa2051d1bc -> nbb96e07d3c89450cb92ad725f6fc4845;
+n6041081af67d4f57968572aa2051d1bc -> n0dbe764d7e4a429298f2d3583e8c84b1;
+nbb96e07d3c89450cb92ad725f6fc4845 [label="a\na\naa"];
+nbb96e07d3c89450cb92ad725f6fc4845 -> nbe5a7be2ec824370a293e7aa8f3a5467;
+nbb96e07d3c89450cb92ad725f6fc4845 -> ndc15a7d84b734bb793055e4712a82d5c;
+nbe5a7be2ec824370a293e7aa8f3a5467 [label="-\na\na\nTrue"];
+ndc15a7d84b734bb793055e4712a82d5c [label="a\n-\na\nTrue"];
+n0dbe764d7e4a429298f2d3583e8c84b1 [label="aa\n-\naa\nTrue"];
+n4c492e6eb94741d2b11567b1b4c729fa [label="aaa\naa\naaaaa"];
+n4c492e6eb94741d2b11567b1b4c729fa -> n0e78dd2900a34a7297cc0ea2bb27e30c;
+n4c492e6eb94741d2b11567b1b4c729fa -> nc18fe2c53e9e4209a9af9c0678465b1f;
+n0e78dd2900a34a7297cc0ea2bb27e30c [label="aa\naa\naaaa"];
+n0e78dd2900a34a7297cc0ea2bb27e30c -> n1b98c16a65994faaa980d9c530383c77;
+n0e78dd2900a34a7297cc0ea2bb27e30c -> n33dbe313802045f8895d0e904d588881;
+n1b98c16a65994faaa980d9c530383c77 [label="a\naa\naaa"];
+n1b98c16a65994faaa980d9c530383c77 -> n5e7c6dff46ff49f7903eb543c02fa22b;
+n1b98c16a65994faaa980d9c530383c77 -> n33391a1fab3849cf9823ccc7396aa7d4;
+n5e7c6dff46ff49f7903eb543c02fa22b [label="-\naa\naa\nTrue"];
+n33391a1fab3849cf9823ccc7396aa7d4 [label="a\na\naa"];
+n33391a1fab3849cf9823ccc7396aa7d4 -> n13b4732016804c3986853f6d2fe4a28b;
+n33391a1fab3849cf9823ccc7396aa7d4 -> n767be985e5a5469da7cfeea0272705b3;
+n13b4732016804c3986853f6d2fe4a28b [label="-\na\na\nTrue"];
+n767be985e5a5469da7cfeea0272705b3 [label="a\n-\na\nTrue"];
+n33dbe313802045f8895d0e904d588881 [label="aa\na\naaa"];
+n33dbe313802045f8895d0e904d588881 -> nf59143762fc643f0bd58507b5097b837;
+n33dbe313802045f8895d0e904d588881 -> n30d968450bf147b68a8d7df49177722c;
+nf59143762fc643f0bd58507b5097b837 [label="a\na\naa"];
+nf59143762fc643f0bd58507b5097b837 -> ncd2168bdc52c459d821427219fb885d1;
+nf59143762fc643f0bd58507b5097b837 -> nc6011f3f746f425ab01fd89e1f17cbb4;
+ncd2168bdc52c459d821427219fb885d1 [label="-\na\na\nTrue"];
+nc6011f3f746f425ab01fd89e1f17cbb4 [label="a\n-\na\nTrue"];
+n30d968450bf147b68a8d7df49177722c [label="aa\n-\naa\nTrue"];
+nc18fe2c53e9e4209a9af9c0678465b1f [label="aaa\na\naaaa"];
+nc18fe2c53e9e4209a9af9c0678465b1f -> n38a7aa8aab21444d8b9d50ca71871b7e;
+nc18fe2c53e9e4209a9af9c0678465b1f -> n1ec1cf69ce3c4798b305338648a6e46b;
+n38a7aa8aab21444d8b9d50ca71871b7e [label="aa\na\naaa"];
+n38a7aa8aab21444d8b9d50ca71871b7e -> nad5433a86522484e85d560ac7d202b3d;
+n38a7aa8aab21444d8b9d50ca71871b7e -> n6bfb83c32f9e46a19e9408fc087e74ae;
+nad5433a86522484e85d560ac7d202b3d [label="a\na\naa"];
+nad5433a86522484e85d560ac7d202b3d -> n292f0206736a40ac8f6045ac0d8a0a07;
+nad5433a86522484e85d560ac7d202b3d -> n07c65e03d3bd473f97579a2c63f922c7;
+n292f0206736a40ac8f6045ac0d8a0a07 [label="-\na\na\nTrue"];
+n07c65e03d3bd473f97579a2c63f922c7 [label="a\n-\na\nTrue"];
+n6bfb83c32f9e46a19e9408fc087e74ae [label="aa\n-\naa\nTrue"];
+n1ec1cf69ce3c4798b305338648a6e46b [label="aaa\n-\naaa\nTrue"];
+
+
+
+}

diff --git a/09-resolving-the-bill/iaaa.dot.png b/09-resolving-the-bill/iaaa.dot.png
new file mode 100644 (file)
index 0000000..c28283d
Binary files /dev/null and b/09-resolving-the-bill/iaaa.dot.png differ

diff --git a/09-resolving-the-bill/interleaving.ipynb b/09-resolving-the-bill/interleaving.ipynb
index 46e2b5c89057226482fe903c91d96581213e98a7..04c8ca1ace84dc38617d57bc8a14113c034fbb23 100644 (file)
--- a/09-resolving-the-bill/interleaving.ipynb
+++ b/09-resolving-the-bill/interleaving.ipynb
@@ -19,7 +19,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {
     "collapsed": true
    },
@@ -31,7 +31,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {
     "collapsed": true
    },
@@ -46,7 +46,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -55,7 +55,7 @@
        "[(0, ''), (1, 'a'), (2, 'aa'), (3, 'aab'), (4, 'aabc'), (5, 'aabcc')]"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -73,7 +73,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -87,7 +87,7 @@
        " [False, False, False, False, False, False]]"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -100,7 +100,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 6,
    "metadata": {
     "scrolled": true
    },
@@ -146,7 +146,7 @@
        " (5, 5): False}"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -160,7 +160,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 7,
    "metadata": {
     "collapsed": true
    },
@@ -174,7 +174,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 8,
    "metadata": {
     "collapsed": true
    },
@@ -188,7 +188,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [
     {
@@ -210,7 +210,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [
     {
@@ -284,7 +284,7 @@
        " (5, 5): (4, 5, 'c', 's1')}"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -337,7 +337,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 11,
    "metadata": {
     "collapsed": true
    },
@@ -413,7 +413,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
     {
@@ -422,7 +422,7 @@
        "True"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -433,7 +433,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
@@ -457,7 +457,7 @@
        "  (5, 5): (4, 5, 'c', 'seq1')})"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -468,7 +468,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 14,
    "metadata": {
     "scrolled": true
    },
@@ -530,7 +530,7 @@
        "  (5, 5): True})"
       ]
      },
-     "execution_count": 13,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -541,7 +541,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
@@ -550,7 +550,7 @@
        "False"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -561,7 +561,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
@@ -603,7 +603,7 @@
        "  (4, 3): (4, 2, 'b', 'seq2')})"
       ]
      },
-     "execution_count": 15,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -614,7 +614,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 17,
    "metadata": {
     "collapsed": true
    },
@@ -638,7 +638,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 18,
    "metadata": {
     "collapsed": true
    },
@@ -652,16 +652,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'cccbggadggfbghfbeeeecgabbcdehcgfdhegefddahcdcabbch'"
+       "'ddbcceaffddbbddddehffcdffbffdfdfdddcehhgaddfddbgda'"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 19,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -672,7 +672,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 20,
    "metadata": {
     "collapsed": true
    },
@@ -713,65 +713,62 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "0 0 0 adding x\n",
-      "0 1 -1 adding c\n",
-      "1 1 0 adding v\n",
-      "1 2 -1 adding a\n",
-      "2 2 0 adding f\n",
-      "3 2 1 adding u\n",
-      "3 3 0 adding z\n",
-      "3 4 -1 adding y\n",
-      "3 5 -2 adding w\n",
-      "3 6 -3 adding e\n",
-      "4 6 -2 adding u\n",
-      "4 7 -3 adding h\n",
-      "5 7 -2 adding x\n",
-      "5 8 -3 adding b\n",
-      "6 8 -2 adding h\n",
-      "7 8 -1 adding z\n",
-      "7 9 -2 adding f\n",
-      "8 9 -1 adding d\n",
-      "9 9 0 adding c\n",
-      "10 9 1 adding u\n",
-      "10 10 0 adding v\n",
-      "10 11 -1 adding c\n",
-      "11 11 0 adding f\n",
-      "12 11 1 adding a\n",
-      "13 11 2 adding y\n",
-      "13 12 1 adding y\n",
-      "13 13 0 adding y\n",
-      "13 14 -1 adding u\n",
-      "13 15 -2 adding e\n",
-      "14 15 -1 adding z\n",
-      "14 16 -2 adding e\n",
-      "15 16 -1 adding b\n",
-      "16 16 0 adding c\n",
-      "17 16 1 adding g\n",
-      "18 16 2 adding w\n",
-      "18 17 1 adding u\n",
-      "18 18 0 adding e\n",
-      "19 18 1 adding w\n",
-      "19 19 0 adding b\n",
-      "20 19 1 remaining s2 y\n"
+      "0 0 0 adding f\n",
+      "1 0 1 adding f\n",
+      "2 0 2 adding d\n",
+      "3 0 3 adding v\n",
+      "3 1 2 adding d\n",
+      "4 1 3 adding g\n",
+      "5 1 4 adding g\n",
+      "6 1 5 adding v\n",
+      "6 2 4 adding d\n",
+      "7 2 5 adding z\n",
+      "7 3 4 adding h\n",
+      "8 3 5 adding w\n",
+      "8 4 4 adding z\n",
+      "8 5 3 adding y\n",
+      "8 6 2 adding b\n",
+      "9 6 3 adding u\n",
+      "9 7 2 adding d\n",
+      "10 7 3 adding w\n",
+      "10 8 2 adding u\n",
+      "10 9 1 adding w\n",
+      "10 10 0 adding u\n",
+      "10 11 -1 adding g\n",
+      "11 11 0 adding c\n",
+      "12 11 1 adding x\n",
+      "12 12 0 adding z\n",
+      "12 13 -1 adding b\n",
+      "13 13 0 adding a\n",
+      "14 13 1 adding v\n",
+      "14 14 0 adding a\n",
+      "15 14 1 adding x\n",
+      "15 15 0 adding f\n",
+      "16 15 1 adding f\n",
+      "17 15 2 adding v\n",
+      "17 16 1 adding c\n",
+      "18 16 2 adding a\n",
+      "19 16 3 adding h\n",
+      "20 16 4 remaining s2 vzxy\n"
      ]
     },
     {
      "data": {
       "text/plain": [
-       "('cafehbhfdccfaeebcgeb',\n",
-       " 'xvuzywuxzuvyyyuzwuwy',\n",
-       " 'xcvafuzyweuhxbhzfdcuvcfayyyuezebcgwuewby',\n",
+       "('ffddggdhbdgcbaaffcah',\n",
+       " 'vvzwzyuwuwuxzvxvvzxy',\n",
+       " 'ffdvdggvdzhwzybudwuwugcxzbavaxffvcahvzxy',\n",
        " 40)"
       ]
      },
-     "execution_count": 20,
+     "execution_count": 21,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -785,7 +782,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [
     {
@@ -793,466 +790,466 @@
      "output_type": "stream",
      "text": [
       "xxxx 0 0 ! ! ! True\n",
-      "seq2 0 1 ! c x False\n",
-      "seq2 0 2 ! a c False\n",
-      "seq2 0 3 ! f v False\n",
-      "seq2 0 4 ! e a False\n",
-      "seq2 0 5 ! h f False\n",
-      "seq2 0 6 ! b u False\n",
-      "seq2 0 7 ! h z False\n",
-      "seq2 0 8 ! f y False\n",
-      "seq2 0 9 ! d w False\n",
-      "seq2 0 10 ! c e False\n",
-      "seq2 0 11 ! c u False\n",
-      "seq2 0 12 ! f h False\n",
-      "seq2 0 13 ! a x False\n",
-      "seq2 0 14 ! e b False\n",
-      "seq2 0 15 ! e h False\n",
-      "seq2 0 16 ! b z False\n",
-      "seq2 0 17 ! c f False\n",
-      "seq2 0 18 ! g d False\n",
-      "seq2 0 19 ! e c False\n",
-      "seq2 0 20 ! b u False\n",
-      "seq1 1 0 x ! x True\n",
-      "seq2 1 1 x c c True\n",
-      "xxxx 1 2 x a v False\n",
-      "xxxx 1 3 x f a False\n",
-      "xxxx 1 4 x e f False\n",
-      "xxxx 1 5 x h u False\n",
-      "xxxx 1 6 x b z False\n",
-      "xxxx 1 7 x h y False\n",
-      "xxxx 1 8 x f w False\n",
-      "xxxx 1 9 x d e False\n",
-      "xxxx 1 10 x c u False\n",
-      "xxxx 1 11 x c h False\n",
-      "xxxx 1 12 x f x False\n",
-      "xxxx 1 13 x a b False\n",
-      "xxxx 1 14 x e h False\n",
-      "xxxx 1 15 x e z False\n",
-      "xxxx 1 16 x b f False\n",
-      "xxxx 1 17 x c d False\n",
-      "xxxx 1 18 x g c False\n",
-      "xxxx 1 19 x e u False\n",
-      "xxxx 1 20 x b v False\n",
-      "seq1 2 0 v ! c False\n",
-      "seq1 2 1 v c v True\n",
-      "seq2 2 2 v a a True\n",
-      "seq2 2 3 v f f True\n",
-      "xxxx 2 4 v e u False\n",
-      "xxxx 2 5 v h z False\n",
-      "xxxx 2 6 v b y False\n",
-      "xxxx 2 7 v h w False\n",
-      "xxxx 2 8 v f e False\n",
-      "xxxx 2 9 v d u False\n",
-      "xxxx 2 10 v c h False\n",
-      "xxxx 2 11 v c x False\n",
-      "xxxx 2 12 v f b False\n",
-      "xxxx 2 13 v a h False\n",
-      "xxxx 2 14 v e z False\n",
-      "xxxx 2 15 v e f False\n",
-      "xxxx 2 16 v b d False\n",
-      "xxxx 2 17 v c c False\n",
-      "xxxx 2 18 v g u False\n",
-      "xxxx 2 19 v e v False\n",
-      "xxxx 2 20 v b c False\n",
-      "seq1 3 0 u ! v False\n",
-      "xxxx 3 1 u c a False\n",
-      "xxxx 3 2 u a f False\n",
-      "seq1 3 3 u f u True\n",
-      "xxxx 3 4 u e z False\n",
-      "xxxx 3 5 u h y False\n",
-      "xxxx 3 6 u b w False\n",
-      "xxxx 3 7 u h e False\n",
-      "xxxx 3 8 u f u False\n",
-      "xxxx 3 9 u d h False\n",
-      "xxxx 3 10 u c x False\n",
-      "xxxx 3 11 u c b False\n",
-      "xxxx 3 12 u f h False\n",
-      "xxxx 3 13 u a z False\n",
-      "xxxx 3 14 u e f False\n",
-      "xxxx 3 15 u e d False\n",
-      "xxxx 3 16 u b c False\n",
-      "xxxx 3 17 u c u False\n",
-      "xxxx 3 18 u g v False\n",
-      "xxxx 3 19 u e c False\n",
-      "xxxx 3 20 u b f False\n",
-      "seq1 4 0 z ! a False\n",
-      "xxxx 4 1 z c f False\n",
-      "xxxx 4 2 z a u False\n",
-      "seq1 4 3 z f z True\n",
-      "xxxx 4 4 z e y False\n",
-      "xxxx 4 5 z h w False\n",
-      "xxxx 4 6 z b e False\n",
-      "xxxx 4 7 z h u False\n",
-      "xxxx 4 8 z f h False\n",
-      "xxxx 4 9 z d x False\n",
-      "xxxx 4 10 z c b False\n",
-      "xxxx 4 11 z c h False\n",
-      "xxxx 4 12 z f z False\n",
-      "xxxx 4 13 z a f False\n",
-      "xxxx 4 14 z e d False\n",
-      "xxxx 4 15 z e c False\n",
-      "xxxx 4 16 z b u False\n",
-      "xxxx 4 17 z c v False\n",
-      "xxxx 4 18 z g c False\n",
-      "xxxx 4 19 z e f False\n",
-      "xxxx 4 20 z b a False\n",
-      "seq1 5 0 y ! f False\n",
-      "xxxx 5 1 y c u False\n",
-      "xxxx 5 2 y a z False\n",
-      "seq1 5 3 y f y True\n",
-      "xxxx 5 4 y e w False\n",
-      "xxxx 5 5 y h e False\n",
-      "xxxx 5 6 y b u False\n",
-      "xxxx 5 7 y h h False\n",
-      "xxxx 5 8 y f x False\n",
-      "xxxx 5 9 y d b False\n",
-      "xxxx 5 10 y c h False\n",
-      "xxxx 5 11 y c z False\n",
-      "xxxx 5 12 y f f False\n",
-      "xxxx 5 13 y a d False\n",
-      "xxxx 5 14 y e c False\n",
-      "xxxx 5 15 y e u False\n",
-      "xxxx 5 16 y b v False\n",
-      "xxxx 5 17 y c c False\n",
-      "xxxx 5 18 y g f False\n",
-      "xxxx 5 19 y e a False\n",
-      "xxxx 5 20 y b y False\n",
-      "seq1 6 0 w ! u False\n",
-      "xxxx 6 1 w c z False\n",
-      "xxxx 6 2 w a y False\n",
-      "seq1 6 3 w f w True\n",
-      "seq2 6 4 w e e True\n",
-      "xxxx 6 5 w h u False\n",
-      "xxxx 6 6 w b h False\n",
-      "xxxx 6 7 w h x False\n",
-      "xxxx 6 8 w f b False\n",
-      "xxxx 6 9 w d h False\n",
-      "xxxx 6 10 w c z False\n",
-      "xxxx 6 11 w c f False\n",
-      "xxxx 6 12 w f d False\n",
-      "xxxx 6 13 w a c False\n",
-      "xxxx 6 14 w e u False\n",
-      "xxxx 6 15 w e v False\n",
-      "xxxx 6 16 w b c False\n",
-      "xxxx 6 17 w c f False\n",
-      "xxxx 6 18 w g a False\n",
-      "xxxx 6 19 w e y False\n",
-      "xxxx 6 20 w b y False\n",
-      "seq1 7 0 u ! z False\n",
-      "xxxx 7 1 u c y False\n",
-      "xxxx 7 2 u a w False\n",
-      "xxxx 7 3 u f e False\n",
-      "seq1 7 4 u e u True\n",
-      "seq2 7 5 u h h True\n",
-      "xxxx 7 6 u b x False\n",
-      "xxxx 7 7 u h b False\n",
-      "xxxx 7 8 u f h False\n",
-      "xxxx 7 9 u d z False\n",
-      "xxxx 7 10 u c f False\n",
-      "xxxx 7 11 u c d False\n",
-      "xxxx 7 12 u f c False\n",
-      "xxxx 7 13 u a u False\n",
-      "xxxx 7 14 u e v False\n",
-      "xxxx 7 15 u e c False\n",
-      "xxxx 7 16 u b f False\n",
-      "xxxx 7 17 u c a False\n",
-      "xxxx 7 18 u g y False\n",
-      "xxxx 7 19 u e y False\n",
-      "xxxx 7 20 u b y False\n",
-      "seq1 8 0 x ! y False\n",
-      "xxxx 8 1 x c w False\n",
-      "xxxx 8 2 x a e False\n",
-      "xxxx 8 3 x f u False\n",
-      "xxxx 8 4 x e h False\n",
-      "seq1 8 5 x h x True\n",
-      "seq2 8 6 x b b True\n",
-      "seq2 8 7 x h h True\n",
-      "xxxx 8 8 x f z False\n",
-      "xxxx 8 9 x d f False\n",
-      "xxxx 8 10 x c d False\n",
-      "xxxx 8 11 x c c False\n",
-      "xxxx 8 12 x f u False\n",
-      "xxxx 8 13 x a v False\n",
-      "xxxx 8 14 x e c False\n",
-      "xxxx 8 15 x e f False\n",
-      "xxxx 8 16 x b a False\n",
-      "xxxx 8 17 x c y False\n",
-      "xxxx 8 18 x g y False\n",
-      "xxxx 8 19 x e y False\n",
-      "xxxx 8 20 x b u False\n",
-      "seq1 9 0 z ! w False\n",
-      "xxxx 9 1 z c e False\n",
-      "xxxx 9 2 z a u False\n",
-      "xxxx 9 3 z f h False\n",
-      "xxxx 9 4 z e x False\n",
-      "xxxx 9 5 z h b False\n",
-      "xxxx 9 6 z b h False\n",
-      "seq1 9 7 z h z True\n",
-      "seq2 9 8 z f f True\n",
-      "seq2 9 9 z d d True\n",
-      "seq2 9 10 z c c True\n",
-      "xxxx 9 11 z c u False\n",
-      "xxxx 9 12 z f v False\n",
-      "xxxx 9 13 z a c False\n",
-      "xxxx 9 14 z e f False\n",
-      "xxxx 9 15 z e a False\n",
-      "xxxx 9 16 z b y False\n",
-      "xxxx 9 17 z c y False\n",
-      "xxxx 9 18 z g y False\n",
-      "xxxx 9 19 z e u False\n",
-      "xxxx 9 20 z b e False\n",
-      "seq1 10 0 u ! e False\n",
-      "xxxx 10 1 u c u False\n",
-      "xxxx 10 2 u a h False\n",
-      "xxxx 10 3 u f x False\n",
-      "xxxx 10 4 u e b False\n",
-      "xxxx 10 5 u h h False\n",
-      "xxxx 10 6 u b z False\n",
-      "xxxx 10 7 u h f False\n",
-      "xxxx 10 8 u f d False\n",
-      "xxxx 10 9 u d c False\n",
-      "seq1 10 10 u c u True\n",
-      "xxxx 10 11 u c v False\n",
-      "xxxx 10 12 u f c False\n",
-      "xxxx 10 13 u a f False\n",
-      "xxxx 10 14 u e a False\n",
-      "xxxx 10 15 u e y False\n",
-      "xxxx 10 16 u b y False\n",
-      "xxxx 10 17 u c y False\n",
-      "xxxx 10 18 u g u False\n",
-      "xxxx 10 19 u e e False\n",
-      "xxxx 10 20 u b z False\n",
-      "seq1 11 0 v ! u False\n",
-      "xxxx 11 1 v c h False\n",
-      "xxxx 11 2 v a x False\n",
-      "xxxx 11 3 v f b False\n",
-      "xxxx 11 4 v e h False\n",
-      "xxxx 11 5 v h z False\n",
-      "xxxx 11 6 v b f False\n",
-      "xxxx 11 7 v h d False\n",
-      "xxxx 11 8 v f c False\n",
-      "xxxx 11 9 v d u False\n",
-      "seq1 11 10 v c v True\n",
-      "seq2 11 11 v c c True\n",
-      "seq2 11 12 v f f True\n",
-      "seq2 11 13 v a a True\n",
-      "xxxx 11 14 v e y False\n",
-      "xxxx 11 15 v e y False\n",
-      "xxxx 11 16 v b y False\n",
-      "xxxx 11 17 v c u False\n",
-      "xxxx 11 18 v g e False\n",
-      "xxxx 11 19 v e z False\n",
-      "xxxx 11 20 v b e False\n",
-      "seq1 12 0 y ! h False\n",
-      "xxxx 12 1 y c x False\n",
-      "xxxx 12 2 y a b False\n",
-      "xxxx 12 3 y f h False\n",
-      "xxxx 12 4 y e z False\n",
-      "xxxx 12 5 y h f False\n",
-      "xxxx 12 6 y b d False\n",
-      "xxxx 12 7 y h c False\n",
-      "xxxx 12 8 y f u False\n",
-      "xxxx 12 9 y d v False\n",
-      "xxxx 12 10 y c c False\n",
-      "xxxx 12 11 y c f False\n",
-      "xxxx 12 12 y f a False\n",
-      "seq1 12 13 y a y True\n",
-      "xxxx 12 14 y e y False\n",
-      "xxxx 12 15 y e y False\n",
-      "xxxx 12 16 y b u False\n",
-      "xxxx 12 17 y c e False\n",
-      "xxxx 12 18 y g z False\n",
-      "xxxx 12 19 y e e False\n",
-      "xxxx 12 20 y b b False\n",
-      "seq1 13 0 y ! x False\n",
-      "xxxx 13 1 y c b False\n",
-      "xxxx 13 2 y a h False\n",
-      "xxxx 13 3 y f z False\n",
-      "xxxx 13 4 y e f False\n",
-      "xxxx 13 5 y h d False\n",
-      "xxxx 13 6 y b c False\n",
-      "xxxx 13 7 y h u False\n",
-      "xxxx 13 8 y f v False\n",
-      "xxxx 13 9 y d c False\n",
-      "xxxx 13 10 y c f False\n",
-      "xxxx 13 11 y c a False\n",
-      "xxxx 13 12 y f y False\n",
-      "seq1 13 13 y a y True\n",
-      "xxxx 13 14 y e y False\n",
-      "xxxx 13 15 y e u False\n",
-      "xxxx 13 16 y b e False\n",
-      "xxxx 13 17 y c z False\n",
-      "xxxx 13 18 y g e False\n",
-      "xxxx 13 19 y e b False\n",
-      "xxxx 13 20 y b c False\n",
-      "seq1 14 0 y ! b False\n",
-      "xxxx 14 1 y c h False\n",
-      "xxxx 14 2 y a z False\n",
-      "xxxx 14 3 y f f False\n",
-      "xxxx 14 4 y e d False\n",
-      "xxxx 14 5 y h c False\n",
-      "xxxx 14 6 y b u False\n",
-      "xxxx 14 7 y h v False\n",
-      "xxxx 14 8 y f c False\n",
-      "xxxx 14 9 y d f False\n",
-      "xxxx 14 10 y c a False\n",
-      "xxxx 14 11 y c y False\n",
-      "xxxx 14 12 y f y False\n",
-      "seq1 14 13 y a y True\n",
-      "xxxx 14 14 y e u False\n",
-      "xxxx 14 15 y e e False\n",
-      "xxxx 14 16 y b z False\n",
-      "xxxx 14 17 y c e False\n",
-      "xxxx 14 18 y g b False\n",
-      "xxxx 14 19 y e c False\n",
-      "xxxx 14 20 y b g False\n",
-      "seq1 15 0 u ! h False\n",
-      "xxxx 15 1 u c z False\n",
-      "xxxx 15 2 u a f False\n",
-      "xxxx 15 3 u f d False\n",
-      "xxxx 15 4 u e c False\n",
-      "xxxx 15 5 u h u False\n",
-      "xxxx 15 6 u b v False\n",
-      "xxxx 15 7 u h c False\n",
-      "xxxx 15 8 u f f False\n",
-      "xxxx 15 9 u d a False\n",
-      "xxxx 15 10 u c y False\n",
-      "xxxx 15 11 u c y False\n",
-      "xxxx 15 12 u f y False\n",
-      "seq1 15 13 u a u True\n",
-      "seq2 15 14 u e e True\n",
-      "xxxx 15 15 u e z False\n",
-      "xxxx 15 16 u b e False\n",
-      "xxxx 15 17 u c b False\n",
-      "xxxx 15 18 u g c False\n",
-      "xxxx 15 19 u e g False\n",
-      "xxxx 15 20 u b w False\n",
-      "seq1 16 0 z ! z False\n",
-      "xxxx 16 1 z c f False\n",
-      "xxxx 16 2 z a d False\n",
-      "xxxx 16 3 z f c False\n",
-      "xxxx 16 4 z e u False\n",
-      "xxxx 16 5 z h v False\n",
-      "xxxx 16 6 z b c False\n",
-      "xxxx 16 7 z h f False\n",
-      "xxxx 16 8 z f a False\n",
-      "xxxx 16 9 z d y False\n",
-      "xxxx 16 10 z c y False\n",
-      "xxxx 16 11 z c y False\n",
-      "xxxx 16 12 z f u False\n",
-      "xxxx 16 13 z a e False\n",
-      "seq1 16 14 z e z True\n",
-      "seq2 16 15 z e e True\n",
-      "seq2 16 16 z b b True\n",
-      "seq2 16 17 z c c True\n",
-      "seq2 16 18 z g g True\n",
-      "xxxx 16 19 z e w False\n",
-      "xxxx 16 20 z b u False\n",
-      "seq1 17 0 w ! f False\n",
-      "xxxx 17 1 w c d False\n",
-      "xxxx 17 2 w a c False\n",
-      "xxxx 17 3 w f u False\n",
-      "xxxx 17 4 w e v False\n",
-      "xxxx 17 5 w h c False\n",
-      "xxxx 17 6 w b f False\n",
-      "xxxx 17 7 w h a False\n",
-      "xxxx 17 8 w f y False\n",
-      "xxxx 17 9 w d y False\n",
-      "xxxx 17 10 w c y False\n",
-      "xxxx 17 11 w c u False\n",
-      "xxxx 17 12 w f e False\n",
-      "xxxx 17 13 w a z False\n",
-      "xxxx 17 14 w e e False\n",
-      "xxxx 17 15 w e b False\n",
-      "xxxx 17 16 w b c False\n",
-      "xxxx 17 17 w c g False\n",
-      "seq1 17 18 w g w True\n",
-      "xxxx 17 19 w e u False\n",
-      "xxxx 17 20 w b e False\n",
-      "seq1 18 0 u ! d False\n",
-      "xxxx 18 1 u c c False\n",
-      "xxxx 18 2 u a u False\n",
-      "xxxx 18 3 u f v False\n",
-      "xxxx 18 4 u e c False\n",
-      "xxxx 18 5 u h f False\n",
-      "xxxx 18 6 u b a False\n",
-      "xxxx 18 7 u h y False\n",
-      "xxxx 18 8 u f y False\n",
-      "xxxx 18 9 u d y False\n",
-      "xxxx 18 10 u c u False\n",
-      "xxxx 18 11 u c e False\n",
-      "xxxx 18 12 u f z False\n",
-      "xxxx 18 13 u a e False\n",
-      "xxxx 18 14 u e b False\n",
-      "xxxx 18 15 u e c False\n",
-      "xxxx 18 16 u b g False\n",
-      "xxxx 18 17 u c w False\n",
-      "seq1 18 18 u g u True\n",
-      "seq2 18 19 u e e True\n",
-      "xxxx 18 20 u b w False\n",
-      "seq1 19 0 w ! c False\n",
-      "xxxx 19 1 w c u False\n",
-      "xxxx 19 2 w a v False\n",
-      "xxxx 19 3 w f c False\n",
-      "xxxx 19 4 w e f False\n",
-      "xxxx 19 5 w h a False\n",
-      "xxxx 19 6 w b y False\n",
-      "xxxx 19 7 w h y False\n",
-      "xxxx 19 8 w f y False\n",
-      "xxxx 19 9 w d u False\n",
-      "xxxx 19 10 w c e False\n",
-      "xxxx 19 11 w c z False\n",
-      "xxxx 19 12 w f e False\n",
-      "xxxx 19 13 w a b False\n",
-      "xxxx 19 14 w e c False\n",
-      "xxxx 19 15 w e g False\n",
-      "xxxx 19 16 w b w False\n",
-      "xxxx 19 17 w c u False\n",
-      "xxxx 19 18 w g e False\n",
-      "seq1 19 19 w e w True\n",
-      "seq2 19 20 w b b True\n",
-      "seq1 20 0 y ! u False\n",
-      "xxxx 20 1 y c v False\n",
-      "xxxx 20 2 y a c False\n",
-      "xxxx 20 3 y f f False\n",
-      "xxxx 20 4 y e a False\n",
-      "xxxx 20 5 y h y False\n",
-      "xxxx 20 6 y b y False\n",
-      "xxxx 20 7 y h y False\n",
-      "xxxx 20 8 y f u False\n",
-      "xxxx 20 9 y d e False\n",
-      "xxxx 20 10 y c z False\n",
-      "xxxx 20 11 y c e False\n",
-      "xxxx 20 12 y f b False\n",
-      "xxxx 20 13 y a c False\n",
-      "xxxx 20 14 y e g False\n",
-      "xxxx 20 15 y e w False\n",
-      "xxxx 20 16 y b u False\n",
-      "xxxx 20 17 y c e False\n",
-      "xxxx 20 18 y g w False\n",
-      "xxxx 20 19 y e b False\n",
-      "seq1 20 20 y b y True\n",
-      "T . . . . . . . . . . . . . . . . . . . .\n",
-      "T T . . . . . . . . . . . . . . . . . . .\n",
-      ". T T T . . . . . . . . . . . . . . . . .\n",
-      ". . . T . . . . . . . . . . . . . . . . .\n",
-      ". . . T . . . . . . . . . . . . . . . . .\n",
-      ". . . T . . . . . . . . . . . . . . . . .\n",
-      ". . . T T . . . . . . . . . . . . . . . .\n",
-      ". . . . T T . . . . . . . . . . . . . . .\n",
-      ". . . . . T T T . . . . . . . . . . . . .\n",
-      ". . . . . . . T T T T . . . . . . . . . .\n",
+      "seq2 0 1 ! f f True\n",
+      "seq2 0 2 ! f f True\n",
+      "seq2 0 3 ! d d True\n",
+      "seq2 0 4 ! d v False\n",
+      "seq2 0 5 ! g d False\n",
+      "seq2 0 6 ! g g False\n",
+      "seq2 0 7 ! d g False\n",
+      "seq2 0 8 ! h v False\n",
+      "seq2 0 9 ! b d False\n",
+      "seq2 0 10 ! d z False\n",
+      "seq2 0 11 ! g h False\n",
+      "seq2 0 12 ! c w False\n",
+      "seq2 0 13 ! b z False\n",
+      "seq2 0 14 ! a y False\n",
+      "seq2 0 15 ! a b False\n",
+      "seq2 0 16 ! f u False\n",
+      "seq2 0 17 ! f d False\n",
+      "seq2 0 18 ! c w False\n",
+      "seq2 0 19 ! a u False\n",
+      "seq2 0 20 ! h w False\n",
+      "seq1 1 0 v ! f False\n",
+      "xxxx 1 1 v f f False\n",
+      "xxxx 1 2 v f d False\n",
+      "seq1 1 3 v d v True\n",
+      "seq2 1 4 v d d True\n",
+      "seq2 1 5 v g g True\n",
+      "seq2 1 6 v g g True\n",
+      "xxxx 1 7 v d v False\n",
+      "xxxx 1 8 v h d False\n",
+      "xxxx 1 9 v b z False\n",
+      "xxxx 1 10 v d h False\n",
+      "xxxx 1 11 v g w False\n",
+      "xxxx 1 12 v c z False\n",
+      "xxxx 1 13 v b y False\n",
+      "xxxx 1 14 v a b False\n",
+      "xxxx 1 15 v a u False\n",
+      "xxxx 1 16 v f d False\n",
+      "xxxx 1 17 v f w False\n",
+      "xxxx 1 18 v c u False\n",
+      "xxxx 1 19 v a w False\n",
+      "xxxx 1 20 v h u False\n",
+      "seq1 2 0 v ! f False\n",
+      "xxxx 2 1 v f d False\n",
+      "xxxx 2 2 v f v False\n",
+      "xxxx 2 3 v d d False\n",
+      "xxxx 2 4 v d g False\n",
+      "xxxx 2 5 v g g False\n",
+      "seq1 2 6 v g v True\n",
+      "seq2 2 7 v d d True\n",
+      "xxxx 2 8 v h z False\n",
+      "xxxx 2 9 v b h False\n",
+      "xxxx 2 10 v d w False\n",
+      "xxxx 2 11 v g z False\n",
+      "xxxx 2 12 v c y False\n",
+      "xxxx 2 13 v b b False\n",
+      "xxxx 2 14 v a u False\n",
+      "xxxx 2 15 v a d False\n",
+      "xxxx 2 16 v f w False\n",
+      "xxxx 2 17 v f u False\n",
+      "xxxx 2 18 v c w False\n",
+      "xxxx 2 19 v a u False\n",
+      "xxxx 2 20 v h g False\n",
+      "seq1 3 0 z ! d False\n",
+      "xxxx 3 1 z f v False\n",
+      "xxxx 3 2 z f d False\n",
+      "xxxx 3 3 z d g False\n",
+      "xxxx 3 4 z d g False\n",
+      "xxxx 3 5 z g v False\n",
+      "xxxx 3 6 z g d False\n",
+      "seq1 3 7 z d z True\n",
+      "seq2 3 8 z h h True\n",
+      "xxxx 3 9 z b w False\n",
+      "xxxx 3 10 z d z False\n",
+      "xxxx 3 11 z g y False\n",
+      "xxxx 3 12 z c b False\n",
+      "xxxx 3 13 z b u False\n",
+      "xxxx 3 14 z a d False\n",
+      "xxxx 3 15 z a w False\n",
+      "xxxx 3 16 z f u False\n",
+      "xxxx 3 17 z f w False\n",
+      "xxxx 3 18 z c u False\n",
+      "xxxx 3 19 z a g False\n",
+      "xxxx 3 20 z h c False\n",
+      "seq1 4 0 w ! v False\n",
+      "xxxx 4 1 w f d False\n",
+      "xxxx 4 2 w f g False\n",
+      "xxxx 4 3 w d g False\n",
+      "xxxx 4 4 w d v False\n",
+      "xxxx 4 5 w g d False\n",
+      "xxxx 4 6 w g z False\n",
+      "xxxx 4 7 w d h False\n",
+      "seq1 4 8 w h w True\n",
+      "xxxx 4 9 w b z False\n",
+      "xxxx 4 10 w d y False\n",
+      "xxxx 4 11 w g b False\n",
+      "xxxx 4 12 w c u False\n",
+      "xxxx 4 13 w b d False\n",
+      "xxxx 4 14 w a w False\n",
+      "xxxx 4 15 w a u False\n",
+      "xxxx 4 16 w f w False\n",
+      "xxxx 4 17 w f u False\n",
+      "xxxx 4 18 w c g False\n",
+      "xxxx 4 19 w a c False\n",
+      "xxxx 4 20 w h x False\n",
+      "seq1 5 0 z ! d False\n",
+      "xxxx 5 1 z f g False\n",
+      "xxxx 5 2 z f g False\n",
+      "xxxx 5 3 z d v False\n",
+      "xxxx 5 4 z d d False\n",
+      "xxxx 5 5 z g z False\n",
+      "xxxx 5 6 z g h False\n",
+      "xxxx 5 7 z d w False\n",
+      "seq1 5 8 z h z True\n",
+      "xxxx 5 9 z b y False\n",
+      "xxxx 5 10 z d b False\n",
+      "xxxx 5 11 z g u False\n",
+      "xxxx 5 12 z c d False\n",
+      "xxxx 5 13 z b w False\n",
+      "xxxx 5 14 z a u False\n",
+      "xxxx 5 15 z a w False\n",
+      "xxxx 5 16 z f u False\n",
+      "xxxx 5 17 z f g False\n",
+      "xxxx 5 18 z c c False\n",
+      "xxxx 5 19 z a x False\n",
+      "xxxx 5 20 z h z False\n",
+      "seq1 6 0 y ! g False\n",
+      "xxxx 6 1 y f g False\n",
+      "xxxx 6 2 y f v False\n",
+      "xxxx 6 3 y d d False\n",
+      "xxxx 6 4 y d z False\n",
+      "xxxx 6 5 y g h False\n",
+      "xxxx 6 6 y g w False\n",
+      "xxxx 6 7 y d z False\n",
+      "seq1 6 8 y h y True\n",
+      "seq2 6 9 y b b True\n",
+      "xxxx 6 10 y d u False\n",
+      "xxxx 6 11 y g d False\n",
+      "xxxx 6 12 y c w False\n",
+      "xxxx 6 13 y b u False\n",
+      "xxxx 6 14 y a w False\n",
+      "xxxx 6 15 y a u False\n",
+      "xxxx 6 16 y f g False\n",
+      "xxxx 6 17 y f c False\n",
+      "xxxx 6 18 y c x False\n",
+      "xxxx 6 19 y a z False\n",
+      "xxxx 6 20 y h b False\n",
+      "seq1 7 0 u ! g False\n",
+      "xxxx 7 1 u f v False\n",
+      "xxxx 7 2 u f d False\n",
+      "xxxx 7 3 u d z False\n",
+      "xxxx 7 4 u d h False\n",
+      "xxxx 7 5 u g w False\n",
+      "xxxx 7 6 u g z False\n",
+      "xxxx 7 7 u d y False\n",
+      "xxxx 7 8 u h b False\n",
+      "seq1 7 9 u b u True\n",
+      "seq2 7 10 u d d True\n",
+      "xxxx 7 11 u g w False\n",
+      "xxxx 7 12 u c u False\n",
+      "xxxx 7 13 u b w False\n",
+      "xxxx 7 14 u a u False\n",
+      "xxxx 7 15 u a g False\n",
+      "xxxx 7 16 u f c False\n",
+      "xxxx 7 17 u f x False\n",
+      "xxxx 7 18 u c z False\n",
+      "xxxx 7 19 u a b False\n",
+      "xxxx 7 20 u h a False\n",
+      "seq1 8 0 w ! v False\n",
+      "xxxx 8 1 w f d False\n",
+      "xxxx 8 2 w f z False\n",
+      "xxxx 8 3 w d h False\n",
+      "xxxx 8 4 w d w False\n",
+      "xxxx 8 5 w g z False\n",
+      "xxxx 8 6 w g y False\n",
+      "xxxx 8 7 w d b False\n",
+      "xxxx 8 8 w h u False\n",
+      "xxxx 8 9 w b d False\n",
+      "seq1 8 10 w d w True\n",
+      "xxxx 8 11 w g u False\n",
+      "xxxx 8 12 w c w False\n",
+      "xxxx 8 13 w b u False\n",
+      "xxxx 8 14 w a g False\n",
+      "xxxx 8 15 w a c False\n",
+      "xxxx 8 16 w f x False\n",
+      "xxxx 8 17 w f z False\n",
+      "xxxx 8 18 w c b False\n",
+      "xxxx 8 19 w a a False\n",
+      "xxxx 8 20 w h v False\n",
+      "seq1 9 0 u ! d False\n",
+      "xxxx 9 1 u f z False\n",
+      "xxxx 9 2 u f h False\n",
+      "xxxx 9 3 u d w False\n",
+      "xxxx 9 4 u d z False\n",
+      "xxxx 9 5 u g y False\n",
+      "xxxx 9 6 u g b False\n",
+      "xxxx 9 7 u d u False\n",
+      "xxxx 9 8 u h d False\n",
+      "xxxx 9 9 u b w False\n",
+      "seq1 9 10 u d u True\n",
+      "xxxx 9 11 u g w False\n",
+      "xxxx 9 12 u c u False\n",
+      "xxxx 9 13 u b g False\n",
+      "xxxx 9 14 u a c False\n",
+      "xxxx 9 15 u a x False\n",
+      "xxxx 9 16 u f z False\n",
+      "xxxx 9 17 u f b False\n",
+      "xxxx 9 18 u c a False\n",
+      "xxxx 9 19 u a v False\n",
+      "xxxx 9 20 u h a False\n",
+      "seq1 10 0 w ! z False\n",
+      "xxxx 10 1 w f h False\n",
+      "xxxx 10 2 w f w False\n",
+      "xxxx 10 3 w d z False\n",
+      "xxxx 10 4 w d y False\n",
+      "xxxx 10 5 w g b False\n",
+      "xxxx 10 6 w g u False\n",
+      "xxxx 10 7 w d d False\n",
+      "xxxx 10 8 w h w False\n",
+      "xxxx 10 9 w b u False\n",
+      "seq1 10 10 w d w True\n",
+      "xxxx 10 11 w g u False\n",
+      "xxxx 10 12 w c g False\n",
+      "xxxx 10 13 w b c False\n",
+      "xxxx 10 14 w a x False\n",
+      "xxxx 10 15 w a z False\n",
+      "xxxx 10 16 w f b False\n",
+      "xxxx 10 17 w f a False\n",
+      "xxxx 10 18 w c v False\n",
+      "xxxx 10 19 w a a False\n",
+      "xxxx 10 20 w h x False\n",
+      "seq1 11 0 u ! h False\n",
+      "xxxx 11 1 u f w False\n",
+      "xxxx 11 2 u f z False\n",
+      "xxxx 11 3 u d y False\n",
+      "xxxx 11 4 u d b False\n",
+      "xxxx 11 5 u g u False\n",
+      "xxxx 11 6 u g d False\n",
+      "xxxx 11 7 u d w False\n",
+      "xxxx 11 8 u h u False\n",
+      "xxxx 11 9 u b w False\n",
+      "seq1 11 10 u d u True\n",
+      "seq2 11 11 u g g True\n",
+      "seq2 11 12 u c c True\n",
+      "xxxx 11 13 u b x False\n",
+      "xxxx 11 14 u a z False\n",
+      "xxxx 11 15 u a b False\n",
+      "xxxx 11 16 u f a False\n",
+      "xxxx 11 17 u f v False\n",
+      "xxxx 11 18 u c a False\n",
+      "xxxx 11 19 u a x False\n",
+      "xxxx 11 20 u h f False\n",
+      "seq1 12 0 x ! w False\n",
+      "xxxx 12 1 x f z False\n",
+      "xxxx 12 2 x f y False\n",
+      "xxxx 12 3 x d b False\n",
+      "xxxx 12 4 x d u False\n",
+      "xxxx 12 5 x g d False\n",
+      "xxxx 12 6 x g w False\n",
+      "xxxx 12 7 x d u False\n",
+      "xxxx 12 8 x h w False\n",
+      "xxxx 12 9 x b u False\n",
+      "xxxx 12 10 x d g False\n",
+      "xxxx 12 11 x g c False\n",
+      "seq1 12 12 x c x True\n",
+      "xxxx 12 13 x b z False\n",
+      "xxxx 12 14 x a b False\n",
+      "xxxx 12 15 x a a False\n",
+      "xxxx 12 16 x f v False\n",
+      "xxxx 12 17 x f a False\n",
+      "xxxx 12 18 x c x False\n",
+      "xxxx 12 19 x a f False\n",
+      "xxxx 12 20 x h f False\n",
+      "seq1 13 0 z ! z False\n",
+      "xxxx 13 1 z f y False\n",
+      "xxxx 13 2 z f b False\n",
+      "xxxx 13 3 z d u False\n",
+      "xxxx 13 4 z d d False\n",
+      "xxxx 13 5 z g w False\n",
+      "xxxx 13 6 z g u False\n",
+      "xxxx 13 7 z d w False\n",
+      "xxxx 13 8 z h u False\n",
+      "xxxx 13 9 z b g False\n",
+      "xxxx 13 10 z d c False\n",
+      "xxxx 13 11 z g x False\n",
+      "seq1 13 12 z c z True\n",
+      "seq2 13 13 z b b True\n",
+      "seq2 13 14 z a a True\n",
+      "xxxx 13 15 z a v False\n",
+      "xxxx 13 16 z f a False\n",
+      "xxxx 13 17 z f x False\n",
+      "xxxx 13 18 z c f False\n",
+      "xxxx 13 19 z a f False\n",
+      "xxxx 13 20 z h v False\n",
+      "seq1 14 0 v ! y False\n",
+      "xxxx 14 1 v f b False\n",
+      "xxxx 14 2 v f u False\n",
+      "xxxx 14 3 v d d False\n",
+      "xxxx 14 4 v d w False\n",
+      "xxxx 14 5 v g u False\n",
+      "xxxx 14 6 v g w False\n",
+      "xxxx 14 7 v d u False\n",
+      "xxxx 14 8 v h g False\n",
+      "xxxx 14 9 v b c False\n",
+      "xxxx 14 10 v d x False\n",
+      "xxxx 14 11 v g z False\n",
+      "xxxx 14 12 v c b False\n",
+      "xxxx 14 13 v b a False\n",
+      "seq1 14 14 v a v True\n",
+      "seq2 14 15 v a a True\n",
+      "xxxx 14 16 v f x False\n",
+      "xxxx 14 17 v f f False\n",
+      "xxxx 14 18 v c f False\n",
+      "xxxx 14 19 v a v False\n",
+      "xxxx 14 20 v h c False\n",
+      "seq1 15 0 x ! b False\n",
+      "xxxx 15 1 x f u False\n",
+      "xxxx 15 2 x f d False\n",
+      "xxxx 15 3 x d w False\n",
+      "xxxx 15 4 x d u False\n",
+      "xxxx 15 5 x g w False\n",
+      "xxxx 15 6 x g u False\n",
+      "xxxx 15 7 x d g False\n",
+      "xxxx 15 8 x h c False\n",
+      "xxxx 15 9 x b x False\n",
+      "xxxx 15 10 x d z False\n",
+      "xxxx 15 11 x g b False\n",
+      "xxxx 15 12 x c a False\n",
+      "xxxx 15 13 x b v False\n",
+      "xxxx 15 14 x a a False\n",
+      "seq1 15 15 x a x True\n",
+      "seq2 15 16 x f f True\n",
+      "seq2 15 17 x f f True\n",
+      "xxxx 15 18 x c v False\n",
+      "xxxx 15 19 x a c False\n",
+      "xxxx 15 20 x h a False\n",
+      "seq1 16 0 v ! u False\n",
+      "xxxx 16 1 v f d False\n",
+      "xxxx 16 2 v f w False\n",
+      "xxxx 16 3 v d u False\n",
+      "xxxx 16 4 v d w False\n",
+      "xxxx 16 5 v g u False\n",
+      "xxxx 16 6 v g g False\n",
+      "xxxx 16 7 v d c False\n",
+      "xxxx 16 8 v h x False\n",
+      "xxxx 16 9 v b z False\n",
+      "xxxx 16 10 v d b False\n",
+      "xxxx 16 11 v g a False\n",
+      "xxxx 16 12 v c v False\n",
+      "xxxx 16 13 v b a False\n",
+      "xxxx 16 14 v a x False\n",
+      "xxxx 16 15 v a f False\n",
+      "xxxx 16 16 v f f False\n",
+      "seq1 16 17 v f v True\n",
+      "seq2 16 18 v c c True\n",
+      "seq2 16 19 v a a True\n",
+      "seq2 16 20 v h h True\n",
+      "seq1 17 0 v ! d False\n",
+      "xxxx 17 1 v f w False\n",
+      "xxxx 17 2 v f u False\n",
+      "xxxx 17 3 v d w False\n",
+      "xxxx 17 4 v d u False\n",
+      "xxxx 17 5 v g g False\n",
+      "xxxx 17 6 v g c False\n",
+      "xxxx 17 7 v d x False\n",
+      "xxxx 17 8 v h z False\n",
+      "xxxx 17 9 v b b False\n",
+      "xxxx 17 10 v d a False\n",
+      "xxxx 17 11 v g v False\n",
+      "xxxx 17 12 v c a False\n",
+      "xxxx 17 13 v b x False\n",
+      "xxxx 17 14 v a f False\n",
+      "xxxx 17 15 v a f False\n",
+      "xxxx 17 16 v f v False\n",
+      "xxxx 17 17 v f c False\n",
+      "xxxx 17 18 v c a False\n",
+      "xxxx 17 19 v a h False\n",
+      "seq1 17 20 v h v True\n",
+      "seq1 18 0 z ! w False\n",
+      "xxxx 18 1 z f u False\n",
+      "xxxx 18 2 z f w False\n",
+      "xxxx 18 3 z d u False\n",
+      "xxxx 18 4 z d g False\n",
+      "xxxx 18 5 z g c False\n",
+      "xxxx 18 6 z g x False\n",
+      "xxxx 18 7 z d z False\n",
+      "xxxx 18 8 z h b False\n",
+      "xxxx 18 9 z b a False\n",
+      "xxxx 18 10 z d v False\n",
+      "xxxx 18 11 z g a False\n",
+      "xxxx 18 12 z c x False\n",
+      "xxxx 18 13 z b f False\n",
+      "xxxx 18 14 z a f False\n",
+      "xxxx 18 15 z a v False\n",
+      "xxxx 18 16 z f c False\n",
+      "xxxx 18 17 z f a False\n",
+      "xxxx 18 18 z c h False\n",
+      "xxxx 18 19 z a v False\n",
+      "seq1 18 20 z h z True\n",
+      "seq1 19 0 x ! u False\n",
+      "xxxx 19 1 x f w False\n",
+      "xxxx 19 2 x f u False\n",
+      "xxxx 19 3 x d g False\n",
+      "xxxx 19 4 x d c False\n",
+      "xxxx 19 5 x g x False\n",
+      "xxxx 19 6 x g z False\n",
+      "xxxx 19 7 x d b False\n",
+      "xxxx 19 8 x h a False\n",
+      "xxxx 19 9 x b v False\n",
+      "xxxx 19 10 x d a False\n",
+      "xxxx 19 11 x g x False\n",
+      "xxxx 19 12 x c f False\n",
+      "xxxx 19 13 x b f False\n",
+      "xxxx 19 14 x a v False\n",
+      "xxxx 19 15 x a c False\n",
+      "xxxx 19 16 x f a False\n",
+      "xxxx 19 17 x f h False\n",
+      "xxxx 19 18 x c v False\n",
+      "xxxx 19 19 x a z False\n",
+      "seq1 19 20 x h x True\n",
+      "seq1 20 0 y ! w False\n",
+      "xxxx 20 1 y f u False\n",
+      "xxxx 20 2 y f g False\n",
+      "xxxx 20 3 y d c False\n",
+      "xxxx 20 4 y d x False\n",
+      "xxxx 20 5 y g z False\n",
+      "xxxx 20 6 y g b False\n",
+      "xxxx 20 7 y d a False\n",
+      "xxxx 20 8 y h v False\n",
+      "xxxx 20 9 y b a False\n",
+      "xxxx 20 10 y d x False\n",
+      "xxxx 20 11 y g f False\n",
+      "xxxx 20 12 y c f False\n",
+      "xxxx 20 13 y b v False\n",
+      "xxxx 20 14 y a c False\n",
+      "xxxx 20 15 y a a False\n",
+      "xxxx 20 16 y f h False\n",
+      "xxxx 20 17 y f v False\n",
+      "xxxx 20 18 y c z False\n",
+      "xxxx 20 19 y a x False\n",
+      "seq1 20 20 y h y True\n",
+      "T T T T . . . . . . . . . . . . . . . . .\n",
+      ". . . T T T T . . . . . . . . . . . . . .\n",
+      ". . . . . . T T . . . . . . . . . . . . .\n",
+      ". . . . . . . T T . . . . . . . . . . . .\n",
+      ". . . . . . . . T . . . . . . . . . . . .\n",
+      ". . . . . . . . T . . . . . . . . . . . .\n",
+      ". . . . . . . . T T . . . . . . . . . . .\n",
+      ". . . . . . . . . T T . . . . . . . . . .\n",
+      ". . . . . . . . . . T . . . . . . . . . .\n",
       ". . . . . . . . . . T . . . . . . . . . .\n",
-      ". . . . . . . . . . T T T T . . . . . . .\n",
-      ". . . . . . . . . . . . . T . . . . . . .\n",
-      ". . . . . . . . . . . . . T . . . . . . .\n",
-      ". . . . . . . . . . . . . T . . . . . . .\n",
-      ". . . . . . . . . . . . . T T . . . . . .\n",
-      ". . . . . . . . . . . . . . T T T T T . .\n",
-      ". . . . . . . . . . . . . . . . . . T . .\n",
-      ". . . . . . . . . . . . . . . . . . T T .\n",
-      ". . . . . . . . . . . . . . . . . . . T T\n",
+      ". . . . . . . . . . T . . . . . . . . . .\n",
+      ". . . . . . . . . . T T T . . . . . . . .\n",
+      ". . . . . . . . . . . . T . . . . . . . .\n",
+      ". . . . . . . . . . . . T T T . . . . . .\n",
+      ". . . . . . . . . . . . . . T T . . . . .\n",
+      ". . . . . . . . . . . . . . . T T T . . .\n",
+      ". . . . . . . . . . . . . . . . . T T T T\n",
+      ". . . . . . . . . . . . . . . . . . . . T\n",
+      ". . . . . . . . . . . . . . . . . . . . T\n",
+      ". . . . . . . . . . . . . . . . . . . . T\n",
       ". . . . . . . . . . . . . . . . . . . . T\n"
      ]
     }
@@ -1264,16 +1261,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'XcVafUZYWeUhXbhZfdcUVcfaYYYUeZebcgWUeWbY'"
+       "'ffdVdggVdZhWZYbUdWUWUgcXZbaVaXffVcahVZXY'"
       ]
      },
-     "execution_count": 22,
+     "execution_count": 23,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1284,35 +1281,35 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "T . . . . . . . . . . . . . . . . . . . .\n",
-      "T T . . . . . . . . . . . . . . . . . . .\n",
-      ". T T T . . . . . . . . . . . . . . . . .\n",
-      ". . . T . . . . . . . . . . . . . . . . .\n",
-      ". . . T . . . . . . . . . . . . . . . . .\n",
-      ". . . T . . . . . . . . . . . . . . . . .\n",
-      ". . . T T . . . . . . . . . . . . . . . .\n",
-      ". . . . T T . . . . . . . . . . . . . . .\n",
-      ". . . . . T T T . . . . . . . . . . . . .\n",
-      ". . . . . . . T T T T . . . . . . . . . .\n",
+      "T T T T . . . . . . . . . . . . . . . . .\n",
+      ". . . T T T T . . . . . . . . . . . . . .\n",
+      ". . . . . . T T . . . . . . . . . . . . .\n",
+      ". . . . . . . T T . . . . . . . . . . . .\n",
+      ". . . . . . . . T . . . . . . . . . . . .\n",
+      ". . . . . . . . T . . . . . . . . . . . .\n",
+      ". . . . . . . . T T . . . . . . . . . . .\n",
+      ". . . . . . . . . T T . . . . . . . . . .\n",
+      ". . . . . . . . . . T . . . . . . . . . .\n",
       ". . . . . . . . . . T . . . . . . . . . .\n",
-      ". . . . . . . . . . T T T T . . . . . . .\n",
-      ". . . . . . . . . . . . . T . . . . . . .\n",
-      ". . . . . . . . . . . . . T . . . . . . .\n",
-      ". . . . . . . . . . . . . T . . . . . . .\n",
-      ". . . . . . . . . . . . . T T . . . . . .\n",
-      ". . . . . . . . . . . . . . T T T T T . .\n",
-      ". . . . . . . . . . . . . . . . . . T . .\n",
-      ". . . . . . . . . . . . . . . . . . T T .\n",
-      ". . . . . . . . . . . . . . . . . . . T T\n",
+      ". . . . . . . . . . T . . . . . . . . . .\n",
+      ". . . . . . . . . . T T T . . . . . . . .\n",
+      ". . . . . . . . . . . . T . . . . . . . .\n",
+      ". . . . . . . . . . . . T T T . . . . . .\n",
+      ". . . . . . . . . . . . . . T T . . . . .\n",
+      ". . . . . . . . . . . . . . . T T T . . .\n",
+      ". . . . . . . . . . . . . . . . . T T T T\n",
+      ". . . . . . . . . . . . . . . . . . . . T\n",
+      ". . . . . . . . . . . . . . . . . . . . T\n",
+      ". . . . . . . . . . . . . . . . . . . . T\n",
       ". . . . . . . . . . . . . . . . . . . . T\n",
-      "XcVafUZYWeUhXbhZfdcUVcfaYYYUeZebcgWUeWbY\n"
+      "ffdVdggVdZhWZYbUdWUWUgcXZbaVaXffVcahVZXY\n"
      ]
     },
     {
@@ -1321,7 +1318,7 @@
        "True"
       ]
      },
-     "execution_count": 23,
+     "execution_count": 24,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1335,19 +1332,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "('fdghaegbegehggbggcgcfecbgfacefhahahdhfafacchafacea',\n",
-       " 'hdhadgebfeaehhhggbdghgcehabccgbddafeacagbgcahhfefe',\n",
-       " 'fhdgdhahadgegebfbeegehaegghbhghggcggcfecbgbdgfhagcehabcccgbedfdhahaafeahcdhfaafaccghafbgacceahahfefe',\n",
+       "('fcbhdfdbgebhgbgbcbhceagfbfhedffbbbehbfbbgedbacecdg',\n",
+       " 'dfbgbebeggbcdahfbddbfcgcehhffhgfhdfffbeedgcghhhaga',\n",
+       " 'dfbfcbghbedbfedbggbcdgeahfbhbdgbgbcdbbfcghcehceahgfbffhgfhfedhdfffffbebbbedehgbfcbghbghehdbaacgecadg',\n",
        " 100)"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 25,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1361,65 +1358,65 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
+      "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
       "T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". T . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . T . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . T . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . T . T T T T T T T T . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . T . T . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      "T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . T . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . T T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . T . T T T . . . . . . . . . . . . . . . . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T T . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . T . T T T . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . T T . . T . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
-      "fHdgDhaHADGegEBFbeEgehAEggHbHgHgGcgGcfecbgBDGfHaGCEHABcCCGBeDfDhahaAFEAhCdhfaAfaccGhafBGacCeAHaHFEFE\n"
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T\n",
+      "DFBfcbGhBEdBfEdbGGBCDgeAHFbhBDgbgbcDbBFCGhCEHceaHgfbFFHGfhFedHDffFFFBEbbbEDehGbfCbGHbgHeHdbaAcGecAdg\n"
      ]
     },
     {
@@ -1428,7 +1425,7 @@
        "True"
       ]
      },
-     "execution_count": 25,
+     "execution_count": 26,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1442,14 +1439,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "1000 loops, best of 3: 1.4 ms per loop\n"
+      "1000 loops, best of 3: 1.29 ms per loop\n"
      ]
     }
    ],
@@ -1460,65 +1457,65 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      "T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . T . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . T T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . T . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . T T T T T T T T T . . . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . T . . . . T T T T T . . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . T T . . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . .\n",
+      "T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". T . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . T T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . T T . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . T . . T . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . T . . T . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T T . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . T . T . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . T T . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T . . . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T . . . . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T . . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . .\n",
-      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T T T T T T\n",
-      "FhDGdhaHAdgEGebfBeEGEHaeGGhBhGhgGCgGCFECBGbdgFhAgcehabccCgbEdFdHAHaAfeaHcDHFaAFACCgHAFbgAcCEahAhfefe\n"
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T .\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
+      ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
+      "dfbFCBgHbeDbFeDBggbcdGEahfBHbdGBGBCdbBfcgHcehCEAhGFBffhgFHfEDhdfffFFbeBBBedEHgBFcBghBGhEhDBaACgECaDG\n"
      ]
     },
     {
@@ -1527,7 +1524,7 @@
        "True"
       ]
      },
-     "execution_count": 27,
+     "execution_count": 28,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1541,7 +1538,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [
     {
@@ -1550,7 +1547,7 @@
        "True"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 29,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1561,16 +1558,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "('febffabcddaaaeffcdhcdaffgfafafcchfffdcbbbagbdfdbdd', False, False)"
+       "('dbgdadhhhhacehhbdfdcffdghcahbbceegebbfhabafecadhhe', False, False)"
       ]
      },
-     "execution_count": 29,
+     "execution_count": 30,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1582,7 +1579,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [
     {
@@ -1590,7 +1587,7 @@
      "output_type": "stream",
      "text": [
       "T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+      ". T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
@@ -1640,7 +1637,7 @@
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
       ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
-      "\n"
+      "dFb\n"
      ]
     },
     {
@@ -1649,7 +1646,7 @@
        "False"
       ]
      },
-     "execution_count": 30,
+     "execution_count": 31,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1663,7 +1660,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 32,
    "metadata": {
     "collapsed": true
    },
@@ -1687,7 +1684,256 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 33,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "import uuid"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "def is_subseq_recursive_dot(s1, s2):\n",
+    "    node_id = uuid.uuid4().hex\n",
+    "    node_string = 'n{} [label=\"{}\\\\n{}\"];'.format(node_id, s1, s2)\n",
+    "#     print(s1, s2, node_string)\n",
+    "    if not s1:\n",
+    "        return node_id, ['n{} [label=\"-\\\\n{}\\\\nTrue\"];'.format(node_id, s2)]\n",
+    "    elif len(s1) > len(s2):\n",
+    "        return node_id, ['n{} [label=\"{}\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s2)]\n",
+    "    else:\n",
+    "        if s1[-1] == s2[-1]:\n",
+    "            node1_id, node1_graph = is_subseq_recursive_dot(s1[:-1], s2[:-1])\n",
+    "            node2_id, node2_graph = is_subseq_recursive_dot(s1, s2[:-1])\n",
+    "            return node_id, ([node_string, \n",
+    "                    'n{} -> n{};'.format(node_id, node1_id), \n",
+    "                    'n{} -> n{};'.format(node_id, node2_id)] + \n",
+    "                    node1_graph + node2_graph)\n",
+    "        else:\n",
+    "            node1_id, node1_graph = is_subseq_recursive_dot(s1, s2[:-1])\n",
+    "            return node_id, ([node_string, \n",
+    "                    'n{} -> n{};'.format(node_id, node1_id)] + \n",
+    "                    node1_graph)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 69,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "def is_interleave_recursive_dot(s1, s2, s3):\n",
+    "    \n",
+    "#     print(s1, s2, s3)\n",
+    "    node_id = uuid.uuid4().hex\n",
+    "    node_string = 'n{} [label=\"{}\\\\n{}\\\\n{}\"];'.format(node_id, s1, s2, s3)\n",
+    "\n",
+    "    if not s1:\n",
+    "        if s2 == s3:\n",
+    "            return node_id, ['n{} [label=\"-\\\\n{}\\\\n{}\\\\nTrue\"];'.format(node_id, s2, s3)]\n",
+    "        else:\n",
+    "            return node_id, ['n{} [label=\"-\\\\n{}\\\\n{}\\\\nFalse\"];'.format(node_id, s2, s3)]\n",
+    "    elif not s2:\n",
+    "        if s1 == s3:\n",
+    "            return node_id, ['n{} [label=\"{}\\\\n-\\\\n{}\\\\nTrue\"];'.format(node_id, s1, s3)]\n",
+    "        else:\n",
+    "            return node_id, ['n{} [label=\"{}\\\\n-\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s3)]\n",
+    "    else:\n",
+    "        if s1[-1] == s2[-1] and s1[-1] == s3[-1]:\n",
+    "            node1_id, node1_graph = is_interleave_recursive_dot(s1[:-1], s2, s3[:-1])\n",
+    "            node2_id, node2_graph = is_interleave_recursive_dot(s1, s2[:-1], s3[:-1])\n",
+    "            return node_id, ([node_string, \n",
+    "                    'n{} -> n{};'.format(node_id, node1_id), \n",
+    "                    'n{} -> n{};'.format(node_id, node2_id)] + \n",
+    "                    node1_graph + node2_graph)\n",
+    "        elif s1[-1] == s3[-1]:\n",
+    "            node1_id, node1_graph = is_interleave_recursive_dot(s1[:-1], s2, s3[:-1])\n",
+    "            return node_id, ([node_string, \n",
+    "                    'n{} -> n{};'.format(node_id, node1_id)] + \n",
+    "                    node1_graph)\n",
+    "        elif s2[-1] == s3[-1]:\n",
+    "            node1_id, node1_graph = is_interleave_recursive_dot(s1, s2[:-1], s3[:-1])\n",
+    "            return node_id, ([node_string, \n",
+    "                    'n{} -> n{};'.format(node_id, node1_id)] + \n",
+    "                    node1_graph)\n",
+    "        else:\n",
+    "            return node_id, ['n{} [label=\"{}\\\\n{}\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s2, s3)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 61,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "s1 = \"aabcc\"\n",
+    "s2 = \"dbbca\"\n",
+    "\n",
+    "s3t = \"aadbbcbcac\"\n",
+    "s3f = \"aadbbbaccc\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 70,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "n825af3fb1bf441a3b97d8fbfcdce6f3d [label=\"aabcc\\ndbbca\\naadbbcbcac\"];\n",
+      "n825af3fb1bf441a3b97d8fbfcdce6f3d -> n944a00ca9b134f3c98aeef34526ff17d;\n",
+      "n944a00ca9b134f3c98aeef34526ff17d [label=\"aabc\\ndbbca\\naadbbcbca\"];\n",
+      "n944a00ca9b134f3c98aeef34526ff17d -> n1586862dcfb74b1a9e9f964b7de102ef;\n",
+      "n1586862dcfb74b1a9e9f964b7de102ef [label=\"aabc\\ndbbc\\naadbbcbc\"];\n",
+      "n1586862dcfb74b1a9e9f964b7de102ef -> nf59278631d8047e7b0cca670e412297b;\n",
+      "n1586862dcfb74b1a9e9f964b7de102ef -> nd83e9c32d1fa43bab45dc21d46830924;\n",
+      "nf59278631d8047e7b0cca670e412297b [label=\"aab\\ndbbc\\naadbbcb\"];\n",
+      "nf59278631d8047e7b0cca670e412297b -> nb0424588e9354d2aa61b587a7edfb7f6;\n",
+      "nb0424588e9354d2aa61b587a7edfb7f6 [label=\"aa\\ndbbc\\naadbbc\"];\n",
+      "nb0424588e9354d2aa61b587a7edfb7f6 -> nb73d85cfb09e43d692de22a49de48b35;\n",
+      "nb73d85cfb09e43d692de22a49de48b35 [label=\"aa\\ndbb\\naadbb\"];\n",
+      "nb73d85cfb09e43d692de22a49de48b35 -> n9e34f866ae1746d797cebd4e1fc73af9;\n",
+      "n9e34f866ae1746d797cebd4e1fc73af9 [label=\"aa\\ndb\\naadb\"];\n",
+      "n9e34f866ae1746d797cebd4e1fc73af9 -> n5c7027bfea9f494894cea01fd5e25387;\n",
+      "n5c7027bfea9f494894cea01fd5e25387 [label=\"aa\\nd\\naad\"];\n",
+      "n5c7027bfea9f494894cea01fd5e25387 -> n650da0feb2624011a20e209bada2445c;\n",
+      "n650da0feb2624011a20e209bada2445c [label=\"aa\\n-\\naa\\nTrue\"];\n",
+      "nd83e9c32d1fa43bab45dc21d46830924 [label=\"aabc\\ndbb\\naadbbcb\"];\n",
+      "nd83e9c32d1fa43bab45dc21d46830924 -> n1c4772b660f24d6da9194d16be602b3a;\n",
+      "n1c4772b660f24d6da9194d16be602b3a [label=\"aabc\\ndb\\naadbbc\"];\n",
+      "n1c4772b660f24d6da9194d16be602b3a -> n0393745322e447c79515cffb4afc4d5b;\n",
+      "n0393745322e447c79515cffb4afc4d5b [label=\"aab\\ndb\\naadbb\"];\n",
+      "n0393745322e447c79515cffb4afc4d5b -> na9ae42f3b7dd415886e78bb960b94184;\n",
+      "n0393745322e447c79515cffb4afc4d5b -> nccaf23a4e311415cbe42bedd8a3727c2;\n",
+      "na9ae42f3b7dd415886e78bb960b94184 [label=\"aa\\ndb\\naadb\"];\n",
+      "na9ae42f3b7dd415886e78bb960b94184 -> nab2d4f76a75c4c6686166212cad4b4a3;\n",
+      "nab2d4f76a75c4c6686166212cad4b4a3 [label=\"aa\\nd\\naad\"];\n",
+      "nab2d4f76a75c4c6686166212cad4b4a3 -> nee8a56cc920943e0a2593a8ee863c53c;\n",
+      "nee8a56cc920943e0a2593a8ee863c53c [label=\"aa\\n-\\naa\\nTrue\"];\n",
+      "nccaf23a4e311415cbe42bedd8a3727c2 [label=\"aab\\nd\\naadb\"];\n",
+      "nccaf23a4e311415cbe42bedd8a3727c2 -> ne1d3cf2b04074c10986fdefb464e5da8;\n",
+      "ne1d3cf2b04074c10986fdefb464e5da8 [label=\"aa\\nd\\naad\"];\n",
+      "ne1d3cf2b04074c10986fdefb464e5da8 -> n9091b74bc8a64b91a9e75aef6b016a64;\n",
+      "n9091b74bc8a64b91a9e75aef6b016a64 [label=\"aa\\n-\\naa\\nTrue\"];\n"
+     ]
+    }
+   ],
+   "source": [
+    "root, graph = is_interleave_recursive_dot(s1, s2, s3t)\n",
+    "print('\\n'.join(graph))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 71,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "n894a2781e978478699af2875308ec4ad [label=\"aaa\\naaa\\naaaaaa\"];\n",
+      "n894a2781e978478699af2875308ec4ad -> n863e03f8030547bf9f4e7a4815c4e027;\n",
+      "n894a2781e978478699af2875308ec4ad -> n4c492e6eb94741d2b11567b1b4c729fa;\n",
+      "n863e03f8030547bf9f4e7a4815c4e027 [label=\"aa\\naaa\\naaaaa\"];\n",
+      "n863e03f8030547bf9f4e7a4815c4e027 -> n8f044087a7324ef69d5cf2ae120c0902;\n",
+      "n863e03f8030547bf9f4e7a4815c4e027 -> n5510c6a96018480ba0fc2315d34a69e6;\n",
+      "n8f044087a7324ef69d5cf2ae120c0902 [label=\"a\\naaa\\naaaa\"];\n",
+      "n8f044087a7324ef69d5cf2ae120c0902 -> n6f3153ef68384ebbbe5860a48c774d55;\n",
+      "n8f044087a7324ef69d5cf2ae120c0902 -> n4d068ce52cf248adb3b537805a233dda;\n",
+      "n6f3153ef68384ebbbe5860a48c774d55 [label=\"-\\naaa\\naaa\\nTrue\"];\n",
+      "n4d068ce52cf248adb3b537805a233dda [label=\"a\\naa\\naaa\"];\n",
+      "n4d068ce52cf248adb3b537805a233dda -> nb85aee31625f4998b596d9b6ea3b77fd;\n",
+      "n4d068ce52cf248adb3b537805a233dda -> nec2837ce384246ffb06e3d4090adfb37;\n",
+      "nb85aee31625f4998b596d9b6ea3b77fd [label=\"-\\naa\\naa\\nTrue\"];\n",
+      "nec2837ce384246ffb06e3d4090adfb37 [label=\"a\\na\\naa\"];\n",
+      "nec2837ce384246ffb06e3d4090adfb37 -> n9c395901af2d4e67a7e5a370f759bce6;\n",
+      "nec2837ce384246ffb06e3d4090adfb37 -> nff84b0c784744901afb3ac8a5aef3c23;\n",
+      "n9c395901af2d4e67a7e5a370f759bce6 [label=\"-\\na\\na\\nTrue\"];\n",
+      "nff84b0c784744901afb3ac8a5aef3c23 [label=\"a\\n-\\na\\nTrue\"];\n",
+      "n5510c6a96018480ba0fc2315d34a69e6 [label=\"aa\\naa\\naaaa\"];\n",
+      "n5510c6a96018480ba0fc2315d34a69e6 -> n5eaaabd1caef4c3f8f6607a8bb254906;\n",
+      "n5510c6a96018480ba0fc2315d34a69e6 -> n6041081af67d4f57968572aa2051d1bc;\n",
+      "n5eaaabd1caef4c3f8f6607a8bb254906 [label=\"a\\naa\\naaa\"];\n",
+      "n5eaaabd1caef4c3f8f6607a8bb254906 -> n6dd23a9ed026429fb57cbf94e6283364;\n",
+      "n5eaaabd1caef4c3f8f6607a8bb254906 -> n3042bda75e7c4d8f8a9ccc464f0ba724;\n",
+      "n6dd23a9ed026429fb57cbf94e6283364 [label=\"-\\naa\\naa\\nTrue\"];\n",
+      "n3042bda75e7c4d8f8a9ccc464f0ba724 [label=\"a\\na\\naa\"];\n",
+      "n3042bda75e7c4d8f8a9ccc464f0ba724 -> n5e702eeee87042deb3157b6663b1f07a;\n",
+      "n3042bda75e7c4d8f8a9ccc464f0ba724 -> n37928d6516f942008c5e89b5c37098ee;\n",
+      "n5e702eeee87042deb3157b6663b1f07a [label=\"-\\na\\na\\nTrue\"];\n",
+      "n37928d6516f942008c5e89b5c37098ee [label=\"a\\n-\\na\\nTrue\"];\n",
+      "n6041081af67d4f57968572aa2051d1bc [label=\"aa\\na\\naaa\"];\n",
+      "n6041081af67d4f57968572aa2051d1bc -> nbb96e07d3c89450cb92ad725f6fc4845;\n",
+      "n6041081af67d4f57968572aa2051d1bc -> n0dbe764d7e4a429298f2d3583e8c84b1;\n",
+      "nbb96e07d3c89450cb92ad725f6fc4845 [label=\"a\\na\\naa\"];\n",
+      "nbb96e07d3c89450cb92ad725f6fc4845 -> nbe5a7be2ec824370a293e7aa8f3a5467;\n",
+      "nbb96e07d3c89450cb92ad725f6fc4845 -> ndc15a7d84b734bb793055e4712a82d5c;\n",
+      "nbe5a7be2ec824370a293e7aa8f3a5467 [label=\"-\\na\\na\\nTrue\"];\n",
+      "ndc15a7d84b734bb793055e4712a82d5c [label=\"a\\n-\\na\\nTrue\"];\n",
+      "n0dbe764d7e4a429298f2d3583e8c84b1 [label=\"aa\\n-\\naa\\nTrue\"];\n",
+      "n4c492e6eb94741d2b11567b1b4c729fa [label=\"aaa\\naa\\naaaaa\"];\n",
+      "n4c492e6eb94741d2b11567b1b4c729fa -> n0e78dd2900a34a7297cc0ea2bb27e30c;\n",
+      "n4c492e6eb94741d2b11567b1b4c729fa -> nc18fe2c53e9e4209a9af9c0678465b1f;\n",
+      "n0e78dd2900a34a7297cc0ea2bb27e30c [label=\"aa\\naa\\naaaa\"];\n",
+      "n0e78dd2900a34a7297cc0ea2bb27e30c -> n1b98c16a65994faaa980d9c530383c77;\n",
+      "n0e78dd2900a34a7297cc0ea2bb27e30c -> n33dbe313802045f8895d0e904d588881;\n",
+      "n1b98c16a65994faaa980d9c530383c77 [label=\"a\\naa\\naaa\"];\n",
+      "n1b98c16a65994faaa980d9c530383c77 -> n5e7c6dff46ff49f7903eb543c02fa22b;\n",
+      "n1b98c16a65994faaa980d9c530383c77 -> n33391a1fab3849cf9823ccc7396aa7d4;\n",
+      "n5e7c6dff46ff49f7903eb543c02fa22b [label=\"-\\naa\\naa\\nTrue\"];\n",
+      "n33391a1fab3849cf9823ccc7396aa7d4 [label=\"a\\na\\naa\"];\n",
+      "n33391a1fab3849cf9823ccc7396aa7d4 -> n13b4732016804c3986853f6d2fe4a28b;\n",
+      "n33391a1fab3849cf9823ccc7396aa7d4 -> n767be985e5a5469da7cfeea0272705b3;\n",
+      "n13b4732016804c3986853f6d2fe4a28b [label=\"-\\na\\na\\nTrue\"];\n",
+      "n767be985e5a5469da7cfeea0272705b3 [label=\"a\\n-\\na\\nTrue\"];\n",
+      "n33dbe313802045f8895d0e904d588881 [label=\"aa\\na\\naaa\"];\n",
+      "n33dbe313802045f8895d0e904d588881 -> nf59143762fc643f0bd58507b5097b837;\n",
+      "n33dbe313802045f8895d0e904d588881 -> n30d968450bf147b68a8d7df49177722c;\n",
+      "nf59143762fc643f0bd58507b5097b837 [label=\"a\\na\\naa\"];\n",
+      "nf59143762fc643f0bd58507b5097b837 -> ncd2168bdc52c459d821427219fb885d1;\n",
+      "nf59143762fc643f0bd58507b5097b837 -> nc6011f3f746f425ab01fd89e1f17cbb4;\n",
+      "ncd2168bdc52c459d821427219fb885d1 [label=\"-\\na\\na\\nTrue\"];\n",
+      "nc6011f3f746f425ab01fd89e1f17cbb4 [label=\"a\\n-\\na\\nTrue\"];\n",
+      "n30d968450bf147b68a8d7df49177722c [label=\"aa\\n-\\naa\\nTrue\"];\n",
+      "nc18fe2c53e9e4209a9af9c0678465b1f [label=\"aaa\\na\\naaaa\"];\n",
+      "nc18fe2c53e9e4209a9af9c0678465b1f -> n38a7aa8aab21444d8b9d50ca71871b7e;\n",
+      "nc18fe2c53e9e4209a9af9c0678465b1f -> n1ec1cf69ce3c4798b305338648a6e46b;\n",
+      "n38a7aa8aab21444d8b9d50ca71871b7e [label=\"aa\\na\\naaa\"];\n",
+      "n38a7aa8aab21444d8b9d50ca71871b7e -> nad5433a86522484e85d560ac7d202b3d;\n",
+      "n38a7aa8aab21444d8b9d50ca71871b7e -> n6bfb83c32f9e46a19e9408fc087e74ae;\n",
+      "nad5433a86522484e85d560ac7d202b3d [label=\"a\\na\\naa\"];\n",
+      "nad5433a86522484e85d560ac7d202b3d -> n292f0206736a40ac8f6045ac0d8a0a07;\n",
+      "nad5433a86522484e85d560ac7d202b3d -> n07c65e03d3bd473f97579a2c63f922c7;\n",
+      "n292f0206736a40ac8f6045ac0d8a0a07 [label=\"-\\na\\na\\nTrue\"];\n",
+      "n07c65e03d3bd473f97579a2c63f922c7 [label=\"a\\n-\\na\\nTrue\"];\n",
+      "n6bfb83c32f9e46a19e9408fc087e74ae [label=\"aa\\n-\\naa\\nTrue\"];\n",
+      "n1ec1cf69ce3c4798b305338648a6e46b [label=\"aaa\\n-\\naaa\\nTrue\"];\n"
+     ]
+    }
+   ],
+   "source": [
+    "root, graph = is_interleave_recursive_dot('aaa', 'aaa', 'aaaaaa')\n",
+    "print('\\n'.join(graph))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
    "metadata": {
     "collapsed": true
    },
@@ -1702,7 +1948,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [
     {
@@ -1711,7 +1957,7 @@
        "True"
       ]
      },
-     "execution_count": 33,
+     "execution_count": 36,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1722,7 +1968,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [
     {
@@ -1731,7 +1977,7 @@
        "False"
       ]
      },
-     "execution_count": 34,
+     "execution_count": 37,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1749,7 +1995,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 38,
    "metadata": {
     "collapsed": true
    },
@@ -1762,7 +2008,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 39,
    "metadata": {
     "collapsed": true
    },
@@ -1788,29 +2034,29 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "0: cddcdbbdbc\n",
-      "1: bdbacbdaaa\n",
-      "2: bdccbaadcbdbdacacaac\n",
-      "3: dccaadcdba\n",
-      "4: dcccaadcdddcdbbbadbc\n",
-      "5: bcdbddaccbddbbdaabca\n",
-      "6: cdcccadbaadcddcbcaac\n"
+      "0: baddacaddb\n",
+      "1: bcccacbacb\n",
+      "2: cdcddbcccacbacbaabcc\n",
+      "3: cdccdbadcaacbbcccaac\n",
+      "4: bbacccdacdacadbdbacb\n",
+      "5: cbaccbbcadadaaccaddb\n",
+      "6: cbaccbcaac\n"
      ]
     },
     {
      "data": {
       "text/plain": [
-       "['bcdbddaccbddbbdaabca']"
+       "['bbacccdacdacadbdbacb']"
       ]
      },
-     "execution_count": 37,
+     "execution_count": 40,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1831,7 +2077,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
@@ -1839,19 +2085,19 @@
      "output_type": "stream",
      "text": [
       "* b . . . . . . . . .\n",
-      ". c d b . . . . . . .\n",
-      ". d . d . . . . . . .\n",
-      ". . . d a c . . . . .\n",
-      ". . . . c c b d . . .\n",
-      ". . . . . . d d . . .\n",
-      ". . . . . . . b . . .\n",
-      ". . . . . . . b . . .\n",
-      ". . . . . . . d a a .\n",
-      ". . . . . . . . . b .\n",
-      ". . . . . . . . . c a\n",
-      "bCdbDDacCbdDBBDaaBCa\n",
-      "bcdbddaccbddbbdaabca\n",
-      " *  **  *  ****  ** \n"
+      "b b . . . . . . . . .\n",
+      ". a c c c . . . . . .\n",
+      ". . . . d a c . . . .\n",
+      ". . . . . . d . . . .\n",
+      ". . . . . . a . . . .\n",
+      ". . . . . . c . . . .\n",
+      ". . . . . . a . . . .\n",
+      ". . . . . . d b . . .\n",
+      ". . . . . . . d . . .\n",
+      ". . . . . . . b a c b\n",
+      "bBAcccDacDACADbDBacb\n",
+      "bbacccdacdacadbdbacb\n",
+      " **   *  ***** **   \n"
      ]
     },
     {
@@ -1860,7 +2106,7 @@
        "True"
       ]
      },
-     "execution_count": 38,
+     "execution_count": 41,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1875,24 +2121,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "dcccaadcdddcdbbbadbc\n",
-      "   *     **** ** ***\n"
+      "cbaccbbcadadaaccaddb\n",
+      "      * ** * * *****\n"
      ]
     },
     {
      "data": {
       "text/plain": [
-       "4"
+       "5"
       ]
      },
-     "execution_count": 39,
+     "execution_count": 42,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1906,27 +2152,27 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "* . . . . . . . . . .\n",
-      "b c d . . . . . . . .\n",
-      ". d . . . . . . . . .\n",
-      ". b d d . . . . . . .\n",
-      ". . . a c . . . . . .\n",
-      ". . . c c . . . . . .\n",
-      ". . . . b d . . . . .\n",
-      ". . . . d d b b d . .\n",
-      ". . . . . . . . a . .\n",
-      ". . . . . . . . a b c\n",
+      "* b . . . . . . . . .\n",
+      "b b a . . . . . . . .\n",
+      ". . c . . . . . . . .\n",
+      ". . c . . . . . . . .\n",
+      ". . c d . . . . . . .\n",
+      ". . . a . . . . . . .\n",
+      ". . . c d a c a d . .\n",
+      ". . . . . . . . b d b\n",
       ". . . . . . . . . . a\n",
-      "BcDBddAcCBdDbbdAAbcA\n",
-      "bcdbddaccbddbbdaabca\n",
-      "* **  * ** *   **  *\n"
+      ". . . . . . . . . . c\n",
+      ". . . . . . . . . . b\n",
+      "bBaCCCdACdacadBdbACB\n",
+      "bbacccdacdacadbdbacb\n",
+      " * *** **     *  ***\n"
      ]
     },
     {
@@ -1935,7 +2181,7 @@
        "True"
       ]
      },
-     "execution_count": 40,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1950,7 +2196,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [
     {
@@ -1958,6 +2204,7 @@
      "output_type": "stream",
      "text": [
       "* . . . . . . . . . .\n",
+      "b . . . . . . . . . .\n",
       ". . . . . . . . . . .\n",
       ". . . . . . . . . . .\n",
       ". . . . . . . . . . .\n",
@@ -1967,9 +2214,9 @@
       ". . . . . . . . . . .\n",
       ". . . . . . . . . . .\n",
       ". . . . . . . . . . .\n",
-      ". . . . . . . . . . .\n",
-      "\n",
-      "\n"
+      "B\n",
+      "b\n",
+      "*\n"
      ]
     },
     {
@@ -1978,7 +2225,7 @@
        "False"
       ]
      },
-     "execution_count": 41,
+     "execution_count": 44,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1993,7 +2240,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [
     {
@@ -2022,7 +2269,7 @@
        "False"
       ]
      },
-     "execution_count": 42,
+     "execution_count": 45,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2058,7 +2305,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 46,
    "metadata": {
     "collapsed": true
    },
@@ -2079,7 +2326,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 47,
    "metadata": {
     "collapsed": true
    },
@@ -2090,15 +2337,15 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 48,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CPU times: user 3.4 s, sys: 0 ns, total: 3.4 s\n",
-      "Wall time: 3.4 s\n"
+      "CPU times: user 2.96 s, sys: 4 ms, total: 2.97 s\n",
+      "Wall time: 2.97 s\n"
      ]
     },
     {
@@ -2107,7 +2354,7 @@
        "[0]"
       ]
      },
-     "execution_count": 45,
+     "execution_count": 48,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2118,15 +2365,15 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CPU times: user 932 ms, sys: 0 ns, total: 932 ms\n",
-      "Wall time: 932 ms\n"
+      "CPU times: user 660 ms, sys: 0 ns, total: 660 ms\n",
+      "Wall time: 658 ms\n"
      ]
     },
     {
@@ -2135,7 +2382,7 @@
        "[0]"
       ]
      },
-     "execution_count": 46,
+     "execution_count": 49,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2146,7 +2393,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 50,
    "metadata": {
     "collapsed": true
    },
@@ -2180,7 +2427,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 94,
+   "execution_count": 52,
    "metadata": {
     "collapsed": true
    },
@@ -2200,7 +2447,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 88,
+   "execution_count": 53,
    "metadata": {},
    "outputs": [
     {
@@ -2209,7 +2456,7 @@
        "(40, 40, 20, 20)"
       ]
      },
-     "execution_count": 88,
+     "execution_count": 53,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2240,7 +2487,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 89,
+   "execution_count": 54,
    "metadata": {},
    "outputs": [
     {
@@ -2249,7 +2496,7 @@
        "(True, True)"
       ]
      },
-     "execution_count": 89,
+     "execution_count": 54,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2260,7 +2507,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 90,
+   "execution_count": 55,
    "metadata": {},
    "outputs": [
     {
@@ -2269,7 +2516,7 @@
        "(True, True)"
       ]
      },
-     "execution_count": 90,
+     "execution_count": 55,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2280,7 +2527,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 91,
+   "execution_count": 56,
    "metadata": {},
    "outputs": [
     {
@@ -2289,7 +2536,7 @@
        "(False, True)"
       ]
      },
-     "execution_count": 91,
+     "execution_count": 56,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2300,19 +2547,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 93,
+   "execution_count": 57,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "('efcfdffcdbcehdffghch',\n",
-       " 'hhdgeffcdbcehdfhfded',\n",
-       " 'hhefdcgefdffdhgcdbcdbbeebhdefgfhgfdehdch',\n",
-       " 'hhdegeffcffcdfdbcefchdfdbchehfddeffghdch')"
+       "('echgeaeeefdcebeaahaf',\n",
+       " 'eeahaaeeefdcebedghbg',\n",
+       " 'eeecahahgeaaeeebafaadgceadabefdaghbgahaf',\n",
+       " 'eecheagehaaaeeeeeefdcebefadahcaebfedghbg')"
       ]
      },
-     "execution_count": 93,
+     "execution_count": 57,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2323,7 +2570,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 96,
+   "execution_count": 58,
    "metadata": {},
    "outputs": [
     {
@@ -2332,7 +2579,7 @@
        "False"
       ]
      },
-     "execution_count": 96,
+     "execution_count": 58,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2344,16 +2591,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 98,
+   "execution_count": 59,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "('hhdgeffcdbcehfdhfded', 'hhdgeffcdbcehdfhfded')"
+       "('eeahaaeeefdceb', 'eeahaaeeefdcebedghbg')"
       ]
      },
-     "execution_count": 98,
+     "execution_count": 59,
      "metadata": {},
      "output_type": "execute_result"
     }

diff --git a/09-resolving-the-bill/it.dot b/09-resolving-the-bill/it.dot
new file mode 100644 (file)
index 0000000..90afb59
--- /dev/null
+++ b/09-resolving-the-bill/it.dot
@@ -0,0 +1,41 @@
+digraph G {
+
+
+n825af3fb1bf441a3b97d8fbfcdce6f3d [label="aabcc\ndbbca\naadbbcbcac"];
+n825af3fb1bf441a3b97d8fbfcdce6f3d -> n944a00ca9b134f3c98aeef34526ff17d;
+n944a00ca9b134f3c98aeef34526ff17d [label="aabc\ndbbca\naadbbcbca"];
+n944a00ca9b134f3c98aeef34526ff17d -> n1586862dcfb74b1a9e9f964b7de102ef;
+n1586862dcfb74b1a9e9f964b7de102ef [label="aabc\ndbbc\naadbbcbc"];
+n1586862dcfb74b1a9e9f964b7de102ef -> nf59278631d8047e7b0cca670e412297b;
+n1586862dcfb74b1a9e9f964b7de102ef -> nd83e9c32d1fa43bab45dc21d46830924;
+nf59278631d8047e7b0cca670e412297b [label="aab\ndbbc\naadbbcb"];
+nf59278631d8047e7b0cca670e412297b -> nb0424588e9354d2aa61b587a7edfb7f6;
+nb0424588e9354d2aa61b587a7edfb7f6 [label="aa\ndbbc\naadbbc"];
+nb0424588e9354d2aa61b587a7edfb7f6 -> nb73d85cfb09e43d692de22a49de48b35;
+nb73d85cfb09e43d692de22a49de48b35 [label="aa\ndbb\naadbb"];
+nb73d85cfb09e43d692de22a49de48b35 -> n9e34f866ae1746d797cebd4e1fc73af9;
+n9e34f866ae1746d797cebd4e1fc73af9 [label="aa\ndb\naadb"];
+n9e34f866ae1746d797cebd4e1fc73af9 -> n5c7027bfea9f494894cea01fd5e25387;
+n5c7027bfea9f494894cea01fd5e25387 [label="aa\nd\naad"];
+n5c7027bfea9f494894cea01fd5e25387 -> n650da0feb2624011a20e209bada2445c;
+n650da0feb2624011a20e209bada2445c [label="aa\n-\naa\nTrue"];
+nd83e9c32d1fa43bab45dc21d46830924 [label="aabc\ndbb\naadbbcb"];
+nd83e9c32d1fa43bab45dc21d46830924 -> n1c4772b660f24d6da9194d16be602b3a;
+n1c4772b660f24d6da9194d16be602b3a [label="aabc\ndb\naadbbc"];
+n1c4772b660f24d6da9194d16be602b3a -> n0393745322e447c79515cffb4afc4d5b;
+n0393745322e447c79515cffb4afc4d5b [label="aab\ndb\naadbb"];
+n0393745322e447c79515cffb4afc4d5b -> na9ae42f3b7dd415886e78bb960b94184;
+n0393745322e447c79515cffb4afc4d5b -> nccaf23a4e311415cbe42bedd8a3727c2;
+na9ae42f3b7dd415886e78bb960b94184 [label="aa\ndb\naadb"];
+na9ae42f3b7dd415886e78bb960b94184 -> nab2d4f76a75c4c6686166212cad4b4a3;
+nab2d4f76a75c4c6686166212cad4b4a3 [label="aa\nd\naad"];
+nab2d4f76a75c4c6686166212cad4b4a3 -> nee8a56cc920943e0a2593a8ee863c53c;
+nee8a56cc920943e0a2593a8ee863c53c [label="aa\n-\naa\nTrue"];
+nccaf23a4e311415cbe42bedd8a3727c2 [label="aab\nd\naadb"];
+nccaf23a4e311415cbe42bedd8a3727c2 -> ne1d3cf2b04074c10986fdefb464e5da8;
+ne1d3cf2b04074c10986fdefb464e5da8 [label="aa\nd\naad"];
+ne1d3cf2b04074c10986fdefb464e5da8 -> n9091b74bc8a64b91a9e75aef6b016a64;
+n9091b74bc8a64b91a9e75aef6b016a64 [label="aa\n-\naa\nTrue"];
+
+
+}

diff --git a/09-resolving-the-bill/it.dot.png b/09-resolving-the-bill/it.dot.png
new file mode 100644 (file)
index 0000000..84c1f71
Binary files /dev/null and b/09-resolving-the-bill/it.dot.png differ

diff --git a/09-resolving-the-bill/subsequence.ipynb b/09-resolving-the-bill/subsequence.ipynb
index 0966d73fa8d5afdfd8817465e205fc9f02a2fe5d..53055e8e6f94b1d130292c9549514a5a2f91c358 100644 (file)
--- a/09-resolving-the-bill/subsequence.ipynb
+++ b/09-resolving-the-bill/subsequence.ipynb
@@ -19,7 +19,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 1,
    "metadata": {
     "collapsed": true
    },
@@ -30,7 +30,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 55,
    "metadata": {
     "collapsed": true
    },
@@ -52,7 +52,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 3,
    "metadata": {
     "scrolled": true
    },
@@ -128,7 +128,7 @@
        " (5, 10): False}"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -142,7 +142,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 4,
    "metadata": {
     "collapsed": true
    },
@@ -156,7 +156,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -178,7 +178,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -255,7 +255,7 @@
        " (4, 7): (4, 6, 'b', 's2')}"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -299,7 +299,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 7,
    "metadata": {
     "collapsed": true
    },
@@ -323,7 +323,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [
     {
@@ -332,7 +332,7 @@
        "'AAAbAbb'"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -343,7 +343,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 9,
    "metadata": {
     "collapsed": true
    },
@@ -400,7 +400,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 10,
    "metadata": {
     "scrolled": true
    },
@@ -468,7 +468,7 @@
        "True"
       ]
      },
-     "execution_count": 16,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -479,7 +479,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 11,
    "metadata": {
     "collapsed": true
    },
@@ -492,7 +492,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
     {
@@ -501,7 +501,7 @@
        "True"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -513,7 +513,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
@@ -522,7 +522,7 @@
        "'AbAAbcAcb'"
       ]
      },
-     "execution_count": 19,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -533,7 +533,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
@@ -554,7 +554,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
@@ -575,7 +575,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
@@ -584,7 +584,7 @@
        "False"
       ]
      },
-     "execution_count": 22,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -595,7 +595,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
@@ -604,7 +604,7 @@
        "('aaaa', 'dabaabcacb')"
       ]
      },
-     "execution_count": 23,
+     "execution_count": 17,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -615,7 +615,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [
     {
@@ -648,7 +648,7 @@
        " (4, 10): (4, 9, 'b', 's2')}"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 18,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -659,7 +659,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
@@ -668,7 +668,7 @@
        "False"
       ]
      },
-     "execution_count": 25,
+     "execution_count": 19,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -679,7 +679,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 20,
    "metadata": {
     "scrolled": true
    },
@@ -753,7 +753,7 @@
        "  (4, 7): (4, 6, 'b', 's2')})"
       ]
      },
-     "execution_count": 26,
+     "execution_count": 20,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -764,13 +764,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 77,
    "metadata": {
     "collapsed": true
    },
    "outputs": [],
    "source": [
     "def is_subseq_recursive(s1, s2):\n",
+    "#     print(s1, s2)\n",
     "    if not s1:\n",
     "        return True\n",
     "    elif len(s1) > len(s2):\n",
@@ -784,7 +785,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 67,
    "metadata": {
     "collapsed": true
    },
@@ -805,6 +806,17 @@
   {
    "cell_type": "code",
    "execution_count": 28,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "import uuid"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
    "metadata": {},
    "outputs": [
     {
@@ -813,7 +825,7 @@
        "True"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 24,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -824,7 +836,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
@@ -833,7 +845,7 @@
        "False"
       ]
      },
-     "execution_count": 29,
+     "execution_count": 25,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -842,6 +854,311 @@
     "is_subseq_recursive(s1, s2f)"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 76,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "def is_subseq_recursive_dot(s1, s2):\n",
+    "    node_id = uuid.uuid4().hex\n",
+    "    node_string = 'n{} [label=\"{}\\\\n{}\"];'.format(node_id, s1, s2)\n",
+    "#     print(s1, s2, node_string)\n",
+    "    if not s1:\n",
+    "        return node_id, ['n{} [label=\"-\\\\n{}\\\\nTrue\"];'.format(node_id, s2)]\n",
+    "    elif len(s1) > len(s2):\n",
+    "        return node_id, ['n{} [label=\"{}\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s2)]\n",
+    "    else:\n",
+    "        if s1[-1] == s2[-1]:\n",
+    "            node1_id, node1_graph = is_subseq_recursive_dot(s1[:-1], s2[:-1])\n",
+    "            node2_id, node2_graph = is_subseq_recursive_dot(s1, s2[:-1])\n",
+    "            return node_id, ([node_string, \n",
+    "                    'n{} -> n{};'.format(node_id, node1_id), \n",
+    "                    'n{} -> n{};'.format(node_id, node2_id)] + \n",
+    "                    node1_graph + node2_graph)\n",
+    "        else:\n",
+    "            node1_id, node1_graph = is_subseq_recursive_dot(s1, s2[:-1])\n",
+    "            return node_id, ([node_string, \n",
+    "                    'n{} -> n{};'.format(node_id, node1_id)] + \n",
+    "                    node1_graph)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'ae50b62c418f4ba8902bfa8bab4948e0'"
+      ]
+     },
+     "execution_count": 51,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "uuid.uuid4().hex"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 78,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "nd5092f0e2ba047ba9b662e17a650791a [label=\"daabcc\\ndabaabcacb\"];\n",
+      "nd5092f0e2ba047ba9b662e17a650791a -> nc243f60568164ba495d5f89dc1075a85;\n",
+      "nc243f60568164ba495d5f89dc1075a85 [label=\"daabcc\\ndabaabcac\"];\n",
+      "nc243f60568164ba495d5f89dc1075a85 -> n933e3a2ebca34034866b98ab19ee3f90;\n",
+      "nc243f60568164ba495d5f89dc1075a85 -> n3c49af7ea69340f2a97827a0547f73db;\n",
+      "n933e3a2ebca34034866b98ab19ee3f90 [label=\"daabc\\ndabaabca\"];\n",
+      "n933e3a2ebca34034866b98ab19ee3f90 -> n8d50442e9d704d7a8e9f0ba2f38e73fc;\n",
+      "n8d50442e9d704d7a8e9f0ba2f38e73fc [label=\"daabc\\ndabaabc\"];\n",
+      "n8d50442e9d704d7a8e9f0ba2f38e73fc -> n942c205bd0994681bf159f01fc42d0f5;\n",
+      "n8d50442e9d704d7a8e9f0ba2f38e73fc -> n8aab1aa30e494cef8895ff177a1d0623;\n",
+      "n942c205bd0994681bf159f01fc42d0f5 [label=\"daab\\ndabaab\"];\n",
+      "n942c205bd0994681bf159f01fc42d0f5 -> na797ca966ed045d5a14888ef06ae64ba;\n",
+      "n942c205bd0994681bf159f01fc42d0f5 -> nd7ea02b3fb6348e49929c458903e1c66;\n",
+      "na797ca966ed045d5a14888ef06ae64ba [label=\"daa\\ndabaa\"];\n",
+      "na797ca966ed045d5a14888ef06ae64ba -> nfc8f27c7ea3b45f69d3e28ff7397c211;\n",
+      "na797ca966ed045d5a14888ef06ae64ba -> nfc96ed80812342958197f351bf4bb6c4;\n",
+      "nfc8f27c7ea3b45f69d3e28ff7397c211 [label=\"da\\ndaba\"];\n",
+      "nfc8f27c7ea3b45f69d3e28ff7397c211 -> n0fba1674138c4ee2a437ec3bfe3c0c34;\n",
+      "nfc8f27c7ea3b45f69d3e28ff7397c211 -> n214435af4c204b2bac186c6bc7fd4b43;\n",
+      "n0fba1674138c4ee2a437ec3bfe3c0c34 [label=\"d\\ndab\"];\n",
+      "n0fba1674138c4ee2a437ec3bfe3c0c34 -> nbbbca27c4d794d3396c58908f36ad8b1;\n",
+      "nbbbca27c4d794d3396c58908f36ad8b1 [label=\"d\\nda\"];\n",
+      "nbbbca27c4d794d3396c58908f36ad8b1 -> n4a39eb3283ba4896bd0ae98e695a5e78;\n",
+      "n4a39eb3283ba4896bd0ae98e695a5e78 [label=\"d\\nd\"];\n",
+      "n4a39eb3283ba4896bd0ae98e695a5e78 -> n0f69ba31cb9341b8a0e01b58e94ecc3e;\n",
+      "n4a39eb3283ba4896bd0ae98e695a5e78 -> n01a1efd1fe0148409aa9ae19a57a1c11;\n",
+      "n0f69ba31cb9341b8a0e01b58e94ecc3e [label=\"-\\n\\nTrue\"];\n",
+      "n01a1efd1fe0148409aa9ae19a57a1c11 [label=\"d\\n\\nFalse\"];\n",
+      "n214435af4c204b2bac186c6bc7fd4b43 [label=\"da\\ndab\"];\n",
+      "n214435af4c204b2bac186c6bc7fd4b43 -> n7f75729c74d944199866bc8242166a15;\n",
+      "n7f75729c74d944199866bc8242166a15 [label=\"da\\nda\"];\n",
+      "n7f75729c74d944199866bc8242166a15 -> nfe2ac3cf290844a686eb20c8a1419632;\n",
+      "n7f75729c74d944199866bc8242166a15 -> n99dabcab19424f76aade00e10b247e28;\n",
+      "nfe2ac3cf290844a686eb20c8a1419632 [label=\"d\\nd\"];\n",
+      "nfe2ac3cf290844a686eb20c8a1419632 -> n4ef4c358f84b44f0816ee6c23bc87c23;\n",
+      "nfe2ac3cf290844a686eb20c8a1419632 -> n0fcf711c28b84e869cd5b1ad29147b79;\n",
+      "n4ef4c358f84b44f0816ee6c23bc87c23 [label=\"-\\n\\nTrue\"];\n",
+      "n0fcf711c28b84e869cd5b1ad29147b79 [label=\"d\\n\\nFalse\"];\n",
+      "n99dabcab19424f76aade00e10b247e28 [label=\"da\\nd\\nFalse\"];\n",
+      "nfc96ed80812342958197f351bf4bb6c4 [label=\"daa\\ndaba\"];\n",
+      "nfc96ed80812342958197f351bf4bb6c4 -> n6f68fb9a9f774752ada474efa377f60e;\n",
+      "nfc96ed80812342958197f351bf4bb6c4 -> ne0abe88f3d764703a75eed757cc316bf;\n",
+      "n6f68fb9a9f774752ada474efa377f60e [label=\"da\\ndab\"];\n",
+      "n6f68fb9a9f774752ada474efa377f60e -> n9c89649fee58407db0ff5d0ba2eb4f2d;\n",
+      "n9c89649fee58407db0ff5d0ba2eb4f2d [label=\"da\\nda\"];\n",
+      "n9c89649fee58407db0ff5d0ba2eb4f2d -> n34738b8c332d4e559f9aa7c7eec42e72;\n",
+      "n9c89649fee58407db0ff5d0ba2eb4f2d -> n446a9bd7fa264edcb2bf289b4fe55f71;\n",
+      "n34738b8c332d4e559f9aa7c7eec42e72 [label=\"d\\nd\"];\n",
+      "n34738b8c332d4e559f9aa7c7eec42e72 -> n73e44dd0c7f248a3bd4aa11de6040c5f;\n",
+      "n34738b8c332d4e559f9aa7c7eec42e72 -> n7af9d67feb864b8ea552f84d64b3e610;\n",
+      "n73e44dd0c7f248a3bd4aa11de6040c5f [label=\"-\\n\\nTrue\"];\n",
+      "n7af9d67feb864b8ea552f84d64b3e610 [label=\"d\\n\\nFalse\"];\n",
+      "n446a9bd7fa264edcb2bf289b4fe55f71 [label=\"da\\nd\\nFalse\"];\n",
+      "ne0abe88f3d764703a75eed757cc316bf [label=\"daa\\ndab\"];\n",
+      "ne0abe88f3d764703a75eed757cc316bf -> n639c085cdfa84e26a754dd4aa56a044e;\n",
+      "n639c085cdfa84e26a754dd4aa56a044e [label=\"daa\\nda\\nFalse\"];\n",
+      "nd7ea02b3fb6348e49929c458903e1c66 [label=\"daab\\ndabaa\"];\n",
+      "nd7ea02b3fb6348e49929c458903e1c66 -> nbfa7d3dbec204c328749c3db14b668ea;\n",
+      "nbfa7d3dbec204c328749c3db14b668ea [label=\"daab\\ndaba\"];\n",
+      "nbfa7d3dbec204c328749c3db14b668ea -> nabacc0aef05041c5998655b5e68b6d94;\n",
+      "nabacc0aef05041c5998655b5e68b6d94 [label=\"daab\\ndab\\nFalse\"];\n",
+      "n8aab1aa30e494cef8895ff177a1d0623 [label=\"daabc\\ndabaab\"];\n",
+      "n8aab1aa30e494cef8895ff177a1d0623 -> nd04c429a65b74db8902b1a2725254549;\n",
+      "nd04c429a65b74db8902b1a2725254549 [label=\"daabc\\ndabaa\"];\n",
+      "nd04c429a65b74db8902b1a2725254549 -> nff340dd0af774bf0818a959dad441b84;\n",
+      "nff340dd0af774bf0818a959dad441b84 [label=\"daabc\\ndaba\\nFalse\"];\n",
+      "n3c49af7ea69340f2a97827a0547f73db [label=\"daabcc\\ndabaabca\"];\n",
+      "n3c49af7ea69340f2a97827a0547f73db -> n5f1bfeaf12e247d9bc9ca4641cb72fb5;\n",
+      "n5f1bfeaf12e247d9bc9ca4641cb72fb5 [label=\"daabcc\\ndabaabc\"];\n",
+      "n5f1bfeaf12e247d9bc9ca4641cb72fb5 -> na504494b1bc842bd800600c18478723a;\n",
+      "n5f1bfeaf12e247d9bc9ca4641cb72fb5 -> n13e17edfcd5a4128996ba5dd2473f244;\n",
+      "na504494b1bc842bd800600c18478723a [label=\"daabc\\ndabaab\"];\n",
+      "na504494b1bc842bd800600c18478723a -> n78a73478b48c43d594e6a04a79c61946;\n",
+      "n78a73478b48c43d594e6a04a79c61946 [label=\"daabc\\ndabaa\"];\n",
+      "n78a73478b48c43d594e6a04a79c61946 -> na3c9f1e44c6546ba9b4c49c48ae842ba;\n",
+      "na3c9f1e44c6546ba9b4c49c48ae842ba [label=\"daabc\\ndaba\\nFalse\"];\n",
+      "n13e17edfcd5a4128996ba5dd2473f244 [label=\"daabcc\\ndabaab\"];\n",
+      "n13e17edfcd5a4128996ba5dd2473f244 -> n5624db7a63c643bcafb2ba6797348bba;\n",
+      "n5624db7a63c643bcafb2ba6797348bba [label=\"daabcc\\ndabaa\\nFalse\"];\n"
+     ]
+    }
+   ],
+   "source": [
+    "root, graph = is_subseq_recursive_dot('daabcc', 'dabaabcacb')\n",
+    "print('\\n'.join(graph))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 70,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "bdabcc dabaabcacb\n",
+      "bdabcc dabaabcac\n",
+      "bdabcc dabaabca\n",
+      "bdabcc dabaabc\n",
+      "bdabcc dabaab\n",
+      "bdabcc dabaa\n",
+      "bdabc dabaab\n",
+      "bdabc dabaa\n",
+      "bdabc daba\n",
+      "bdabc dabaabca\n",
+      "bdabc dabaabc\n",
+      "bdabc dabaab\n",
+      "bdabc dabaa\n",
+      "bdabc daba\n",
+      "bdab dabaab\n",
+      "bdab dabaa\n",
+      "bdab daba\n",
+      "bdab dab\n",
+      "bda dabaa\n",
+      "bda daba\n",
+      "bda dab\n",
+      "bda da\n",
+      "bd dab\n",
+      "bd da\n",
+      "bd d\n",
+      "bd daba\n",
+      "bd dab\n",
+      "bd da\n",
+      "bd d\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "False"
+      ]
+     },
+     "execution_count": 70,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "is_subseq_recursive('bdabcc', 'dabaabcacb')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 75,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "bdabcc dabaabcacb nae20c69b2c4d4ea2a239af485ca10f16 [label=\"bdabcc\\ndabaabcacb\"];\n",
+      "bdabcc dabaabcac nac3868f0d46645ca8bf1b02110448236 [label=\"bdabcc\\ndabaabcac\"];\n",
+      "bdabc dabaabca nf5a124f6b457426eaa13f9d58a716fe1 [label=\"bdabc\\ndabaabca\"];\n",
+      "bdabc dabaabc nf82bf143985849a9a14d7272ab8be040 [label=\"bdabc\\ndabaabc\"];\n",
+      "bdab dabaab nf5694edb16d84740ad75d3c3a9dc33f4 [label=\"bdab\\ndabaab\"];\n",
+      "bda dabaa n7734cd7f92a34a3bbb223dac592bd496 [label=\"bda\\ndabaa\"];\n",
+      "bd daba nf51d59c7071c4725a4e961fd017fd0b6 [label=\"bd\\ndaba\"];\n",
+      "bd dab n48a2b0c66af943439d0c9767e9181c50 [label=\"bd\\ndab\"];\n",
+      "bd da nfee98ef394994c0b9664921c73ae7882 [label=\"bd\\nda\"];\n",
+      "bd d n077956a8b783437ba5a65c3fd3380e2f [label=\"bd\\nd\"];\n",
+      "bda daba nd7f11536d8df400d860ac372d1c3e9f8 [label=\"bda\\ndaba\"];\n",
+      "bd dab nb1bf7b9e21a64b30a7a536a9b8649e56 [label=\"bd\\ndab\"];\n",
+      "bd da nb0329d485ca14bfaa79caa33670a8699 [label=\"bd\\nda\"];\n",
+      "bd d ne91eaaeffb1443639b733682718f4092 [label=\"bd\\nd\"];\n",
+      "bda dab n115e972256cc4394a1eba134f114e4ab [label=\"bda\\ndab\"];\n",
+      "bda da na78115224d9f4e37b4045f6c30e4ceb1 [label=\"bda\\nda\"];\n",
+      "bdab dabaa nad799597664c441f9ccedc62f06247bb [label=\"bdab\\ndabaa\"];\n",
+      "bdab daba n55c3278b1aea4bdc92b3d5eb3c09366c [label=\"bdab\\ndaba\"];\n",
+      "bdab dab n5d2503b1d062482b898e4682240dcc78 [label=\"bdab\\ndab\"];\n",
+      "bdabc dabaab nd6bf8394c44b4af79b2a91534ba13317 [label=\"bdabc\\ndabaab\"];\n",
+      "bdabc dabaa ne856116c734a46b1967bddb73c56140f [label=\"bdabc\\ndabaa\"];\n",
+      "bdabc daba ne0497380dcb04eb9b64499dca04e370b [label=\"bdabc\\ndaba\"];\n",
+      "bdabcc dabaabca na1b07d40913a48a89651e06846c27489 [label=\"bdabcc\\ndabaabca\"];\n",
+      "bdabcc dabaabc nf7b9fd837f974551b0795d7492210e52 [label=\"bdabcc\\ndabaabc\"];\n",
+      "bdabc dabaab n753dfbdd86b543cbb9b246e976d31406 [label=\"bdabc\\ndabaab\"];\n",
+      "bdabc dabaa na21720c117704e02910b868caeddb9a9 [label=\"bdabc\\ndabaa\"];\n",
+      "bdabc daba nb1bec31f0ddf4a888f941702a407906f [label=\"bdabc\\ndaba\"];\n",
+      "bdabcc dabaab n556f3f77789b40f0b332b55e20828606 [label=\"bdabcc\\ndabaab\"];\n",
+      "bdabcc dabaa n5b6173aea18d41f8b4a2c5ce99cc4d7a [label=\"bdabcc\\ndabaa\"];\n",
+      "nae20c69b2c4d4ea2a239af485ca10f16 [label=\"bdabcc\\ndabaabcacb\"];\n",
+      "nae20c69b2c4d4ea2a239af485ca10f16 -> nac3868f0d46645ca8bf1b02110448236;\n",
+      "nac3868f0d46645ca8bf1b02110448236 [label=\"bdabcc\\ndabaabcac\"];\n",
+      "nac3868f0d46645ca8bf1b02110448236 -> nf5a124f6b457426eaa13f9d58a716fe1;\n",
+      "nac3868f0d46645ca8bf1b02110448236 -> na1b07d40913a48a89651e06846c27489;\n",
+      "nf5a124f6b457426eaa13f9d58a716fe1 [label=\"bdabc\\ndabaabca\"];\n",
+      "nf5a124f6b457426eaa13f9d58a716fe1 -> nf82bf143985849a9a14d7272ab8be040;\n",
+      "nf82bf143985849a9a14d7272ab8be040 [label=\"bdabc\\ndabaabc\"];\n",
+      "nf82bf143985849a9a14d7272ab8be040 -> nf5694edb16d84740ad75d3c3a9dc33f4;\n",
+      "nf82bf143985849a9a14d7272ab8be040 -> nd6bf8394c44b4af79b2a91534ba13317;\n",
+      "nf5694edb16d84740ad75d3c3a9dc33f4 [label=\"bdab\\ndabaab\"];\n",
+      "nf5694edb16d84740ad75d3c3a9dc33f4 -> n7734cd7f92a34a3bbb223dac592bd496;\n",
+      "nf5694edb16d84740ad75d3c3a9dc33f4 -> nad799597664c441f9ccedc62f06247bb;\n",
+      "n7734cd7f92a34a3bbb223dac592bd496 [label=\"bda\\ndabaa\"];\n",
+      "n7734cd7f92a34a3bbb223dac592bd496 -> nf51d59c7071c4725a4e961fd017fd0b6;\n",
+      "n7734cd7f92a34a3bbb223dac592bd496 -> nd7f11536d8df400d860ac372d1c3e9f8;\n",
+      "nf51d59c7071c4725a4e961fd017fd0b6 [label=\"bd\\ndaba\"];\n",
+      "nf51d59c7071c4725a4e961fd017fd0b6 -> n48a2b0c66af943439d0c9767e9181c50;\n",
+      "n48a2b0c66af943439d0c9767e9181c50 [label=\"bd\\ndab\"];\n",
+      "n48a2b0c66af943439d0c9767e9181c50 -> nfee98ef394994c0b9664921c73ae7882;\n",
+      "nfee98ef394994c0b9664921c73ae7882 [label=\"bd\\nda\"];\n",
+      "nfee98ef394994c0b9664921c73ae7882 -> n077956a8b783437ba5a65c3fd3380e2f;\n",
+      "n077956a8b783437ba5a65c3fd3380e2f [label=\"bd\\nd\\nFalse\"];\n",
+      "nd7f11536d8df400d860ac372d1c3e9f8 [label=\"bda\\ndaba\"];\n",
+      "nd7f11536d8df400d860ac372d1c3e9f8 -> nb1bf7b9e21a64b30a7a536a9b8649e56;\n",
+      "nd7f11536d8df400d860ac372d1c3e9f8 -> n115e972256cc4394a1eba134f114e4ab;\n",
+      "nb1bf7b9e21a64b30a7a536a9b8649e56 [label=\"bd\\ndab\"];\n",
+      "nb1bf7b9e21a64b30a7a536a9b8649e56 -> nb0329d485ca14bfaa79caa33670a8699;\n",
+      "nb0329d485ca14bfaa79caa33670a8699 [label=\"bd\\nda\"];\n",
+      "nb0329d485ca14bfaa79caa33670a8699 -> ne91eaaeffb1443639b733682718f4092;\n",
+      "ne91eaaeffb1443639b733682718f4092 [label=\"bd\\nd\\nFalse\"];\n",
+      "n115e972256cc4394a1eba134f114e4ab [label=\"bda\\ndab\"];\n",
+      "n115e972256cc4394a1eba134f114e4ab -> na78115224d9f4e37b4045f6c30e4ceb1;\n",
+      "na78115224d9f4e37b4045f6c30e4ceb1 [label=\"bda\\nda\\nFalse\"];\n",
+      "nad799597664c441f9ccedc62f06247bb [label=\"bdab\\ndabaa\"];\n",
+      "nad799597664c441f9ccedc62f06247bb -> n55c3278b1aea4bdc92b3d5eb3c09366c;\n",
+      "n55c3278b1aea4bdc92b3d5eb3c09366c [label=\"bdab\\ndaba\"];\n",
+      "n55c3278b1aea4bdc92b3d5eb3c09366c -> n5d2503b1d062482b898e4682240dcc78;\n",
+      "n5d2503b1d062482b898e4682240dcc78 [label=\"bdab\\ndab\\nFalse\"];\n",
+      "nd6bf8394c44b4af79b2a91534ba13317 [label=\"bdabc\\ndabaab\"];\n",
+      "nd6bf8394c44b4af79b2a91534ba13317 -> ne856116c734a46b1967bddb73c56140f;\n",
+      "ne856116c734a46b1967bddb73c56140f [label=\"bdabc\\ndabaa\"];\n",
+      "ne856116c734a46b1967bddb73c56140f -> ne0497380dcb04eb9b64499dca04e370b;\n",
+      "ne0497380dcb04eb9b64499dca04e370b [label=\"bdabc\\ndaba\\nFalse\"];\n",
+      "na1b07d40913a48a89651e06846c27489 [label=\"bdabcc\\ndabaabca\"];\n",
+      "na1b07d40913a48a89651e06846c27489 -> nf7b9fd837f974551b0795d7492210e52;\n",
+      "nf7b9fd837f974551b0795d7492210e52 [label=\"bdabcc\\ndabaabc\"];\n",
+      "nf7b9fd837f974551b0795d7492210e52 -> n753dfbdd86b543cbb9b246e976d31406;\n",
+      "nf7b9fd837f974551b0795d7492210e52 -> n556f3f77789b40f0b332b55e20828606;\n",
+      "n753dfbdd86b543cbb9b246e976d31406 [label=\"bdabc\\ndabaab\"];\n",
+      "n753dfbdd86b543cbb9b246e976d31406 -> na21720c117704e02910b868caeddb9a9;\n",
+      "na21720c117704e02910b868caeddb9a9 [label=\"bdabc\\ndabaa\"];\n",
+      "na21720c117704e02910b868caeddb9a9 -> nb1bec31f0ddf4a888f941702a407906f;\n",
+      "nb1bec31f0ddf4a888f941702a407906f [label=\"bdabc\\ndaba\\nFalse\"];\n",
+      "n556f3f77789b40f0b332b55e20828606 [label=\"bdabcc\\ndabaab\"];\n",
+      "n556f3f77789b40f0b332b55e20828606 -> n5b6173aea18d41f8b4a2c5ce99cc4d7a;\n",
+      "n5b6173aea18d41f8b4a2c5ce99cc4d7a [label=\"bdabcc\\ndabaa\\nFalse\"];\n"
+     ]
+    }
+   ],
+   "source": [
+    "root, graph = is_subseq_recursive_dot('bdabcc', 'dabaabcacb')\n",
+    "print('\\n'.join(graph))"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 30,
@@ -1746,7 +2063,9 @@
   {
    "cell_type": "code",
    "execution_count": 67,
-   "metadata": {},
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "import pandas as pd\n",