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April 9, 2013 16:38
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Banana lattices.
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"name": "pyfst-banana" | |
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"input": "def substrings(word):\n for i in range(len(word)+1):\n for j in range(i+1, len(word)+1):\n yield word[i:j]", | |
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"input": "def linear_chain(s, syms, w):\n t = fst.SimpleFst(syms, syms)\n for i, c in enumerate(s):\n t.add_arc(i, i+1, c, c)\n t[i+1].final = w\n return t", | |
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"input": "t = fst.Acceptor()\nfor sub in substrings('banana'):\n t.set_union(linear_chain(sub, t.isyms, -math.log(random.random())))", | |
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points=\"524.792,-1508.57 535.314,-1507.33 526.318,-1501.74 524.792,-1508.57\"/>\n<text text-anchor=\"middle\" x=\"500\" y=\"-1503.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 12 -->\n<g id=\"node59\" class=\"node\"><title>12</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"412\" cy=\"-1423\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"412\" y=\"-1417.4\" font-family=\"Times,serif\" font-size=\"14.00\">12</text>\n</g>\n<!-- 11->12 -->\n<g id=\"edge58\" class=\"edge\"><title>11->12</title>\n<path fill=\"none\" stroke=\"black\" d=\"M256.622,-1423C286.907,-1423 345.259,-1423 380.905,-1423\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"381.183,-1426.5 391.183,-1423 381.183,-1419.5 381.183,-1426.5\"/>\n<text text-anchor=\"middle\" x=\"324\" y=\"-1425.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 13 -->\n<g id=\"node61\" class=\"node\"><title>13</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"593\" cy=\"-1423\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"593\" y=\"-1417.4\" font-family=\"Times,serif\" font-size=\"14.00\">13</text>\n</g>\n<!-- 12->13 -->\n<g id=\"edge60\" class=\"edge\"><title>12->13</title>\n<path fill=\"none\" stroke=\"black\" d=\"M432.84,-1423C464.156,-1423 525.25,-1423 561.964,-1423\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"562.071,-1426.5 572.071,-1423 562.071,-1419.5 562.071,-1426.5\"/>\n<text text-anchor=\"middle\" x=\"500\" y=\"-1425.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 14 -->\n<g id=\"node63\" class=\"node\"><title>14</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"774\" cy=\"-1466\" rx=\"59.6745\" ry=\"59.6745\"/>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"774\" cy=\"-1466\" rx=\"63.6801\" ry=\"63.6801\"/>\n<text text-anchor=\"middle\" x=\"774\" y=\"-1460.4\" font-family=\"Times,serif\" font-size=\"14.00\">14/0.587952</text>\n</g>\n<!-- 13->14 -->\n<g id=\"edge62\" class=\"edge\"><title>13->14</title>\n<path fill=\"none\" stroke=\"black\" d=\"M613.497,-1427.68C634.765,-1432.79 670.055,-1441.27 702.04,-1448.95\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"701.3,-1452.38 711.841,-1451.31 702.936,-1445.57 701.3,-1452.38\"/>\n<text text-anchor=\"middle\" x=\"686\" y=\"-1449.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 17 -->\n<g id=\"node67\" class=\"node\"><title>17</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"412\" cy=\"-1364\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"412\" y=\"-1358.4\" font-family=\"Times,serif\" font-size=\"14.00\">17</text>\n</g>\n<!-- 16->17 -->\n<g id=\"edge66\" class=\"edge\"><title>16->17</title>\n<path fill=\"none\" stroke=\"black\" d=\"M256.96,-1364C287.377,-1364 345.536,-1364 381.038,-1364\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"381.273,-1367.5 391.273,-1364 381.273,-1360.5 381.273,-1367.5\"/>\n<text text-anchor=\"middle\" x=\"324\" y=\"-1366.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 18 -->\n<g id=\"node69\" class=\"node\"><title>18</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"593\" cy=\"-1364\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"593\" y=\"-1358.4\" font-family=\"Times,serif\" font-size=\"14.00\">18</text>\n</g>\n<!-- 17->18 -->\n<g id=\"edge68\" class=\"edge\"><title>17->18</title>\n<path fill=\"none\" stroke=\"black\" d=\"M432.84,-1364C464.156,-1364 525.25,-1364 561.964,-1364\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"562.071,-1367.5 572.071,-1364 562.071,-1360.5 562.071,-1367.5\"/>\n<text text-anchor=\"middle\" x=\"500\" y=\"-1366.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 19 -->\n<g id=\"node71\" class=\"node\"><title>19</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"774\" cy=\"-1364\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"774\" y=\"-1358.4\" font-family=\"Times,serif\" font-size=\"14.00\">19</text>\n</g>\n<!-- 18->19 -->\n<g id=\"edge70\" class=\"edge\"><title>18->19</title>\n<path fill=\"none\" stroke=\"black\" d=\"M613.84,-1364C645.156,-1364 706.25,-1364 742.964,-1364\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"743.071,-1367.5 753.071,-1364 743.071,-1360.5 743.071,-1367.5\"/>\n<text text-anchor=\"middle\" x=\"686\" y=\"-1366.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 20 -->\n<g id=\"node73\" class=\"node\"><title>20</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"950\" cy=\"-1366\" rx=\"54.5402\" ry=\"54.5402\"/>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"950\" cy=\"-1366\" rx=\"58.524\" ry=\"58.524\"/>\n<text text-anchor=\"middle\" x=\"950\" y=\"-1360.4\" font-family=\"Times,serif\" font-size=\"14.00\">20/2.57214</text>\n</g>\n<!-- 19->20 -->\n<g id=\"edge72\" class=\"edge\"><title>19->20</title>\n<path fill=\"none\" stroke=\"black\" d=\"M794.96,-1364.23C815.892,-1364.47 849.962,-1364.86 880.744,-1365.22\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"880.994,-1368.72 891.034,-1365.33 881.075,-1361.72 880.994,-1368.72\"/>\n<text text-anchor=\"middle\" x=\"862\" y=\"-1367.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 23 -->\n<g id=\"node77\" class=\"node\"><title>23</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"412\" cy=\"-1305\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"412\" y=\"-1299.4\" font-family=\"Times,serif\" font-size=\"14.00\">23</text>\n</g>\n<!-- 22->23 -->\n<g id=\"edge76\" class=\"edge\"><title>22->23</title>\n<path fill=\"none\" stroke=\"black\" d=\"M256.96,-1305C287.377,-1305 345.536,-1305 381.038,-1305\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"381.273,-1308.5 391.273,-1305 381.273,-1301.5 381.273,-1308.5\"/>\n<text text-anchor=\"middle\" x=\"324\" y=\"-1307.8\" font-family=\"Times,serif\" 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y=\"-1046.4\" font-family=\"Times,serif\" font-size=\"14.00\">35</text>\n</g>\n<!-- 34->35 -->\n<g id=\"edge94\" class=\"edge\"><title>34->35</title>\n<path fill=\"none\" stroke=\"black\" d=\"M256.96,-1052C287.377,-1052 345.536,-1052 381.038,-1052\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"381.273,-1055.5 391.273,-1052 381.273,-1048.5 381.273,-1055.5\"/>\n<text text-anchor=\"middle\" x=\"324\" y=\"-1054.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 36 -->\n<g id=\"node97\" class=\"node\"><title>36</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"593\" cy=\"-1090\" rx=\"54.5402\" ry=\"54.5402\"/>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"593\" cy=\"-1090\" rx=\"58.524\" ry=\"58.524\"/>\n<text text-anchor=\"middle\" x=\"593\" y=\"-1084.4\" font-family=\"Times,serif\" font-size=\"14.00\">36/3.04587</text>\n</g>\n<!-- 35->36 -->\n<g id=\"edge96\" class=\"edge\"><title>35->36</title>\n<path fill=\"none\" stroke=\"black\" d=\"M432.497,-1056.14C454.668,-1060.85 492.077,-1068.79 525.096,-1075.8\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"524.672,-1079.28 535.181,-1077.94 526.126,-1072.44 524.672,-1079.28\"/>\n<text text-anchor=\"middle\" x=\"500\" y=\"-1074.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 39 -->\n<g id=\"node101\" class=\"node\"><title>39</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"412\" cy=\"-993\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"412\" y=\"-987.4\" font-family=\"Times,serif\" font-size=\"14.00\">39</text>\n</g>\n<!-- 38->39 -->\n<g id=\"edge100\" class=\"edge\"><title>38->39</title>\n<path fill=\"none\" stroke=\"black\" d=\"M256.96,-993C287.377,-993 345.536,-993 381.038,-993\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"381.273,-996.5 391.273,-993 381.273,-989.5 381.273,-996.5\"/>\n<text text-anchor=\"middle\" x=\"324\" y=\"-995.8\" font-family=\"Times,serif\" 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"text": "<StdVectorFst with 78 states>" | |
} | |
], | |
"prompt_number": 30 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "nt = t.determinize()\nnt", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 48, | |
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"text": "<StdVectorFst with 17 states>" | |
} | |
], | |
"prompt_number": 48 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "def boundary(b, syms):\n t = fst.SimpleFst(syms, syms)\n t.add_arc(0, 1, fst.EPSILON, b)\n t[1].final = True\n return t", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 45 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "mb = boundary('^', nt.isyms)\npb = boundary('<', nt.isyms)\nsb = boundary('>', nt.isyms)\ngrammar = (nt + mb).closure() + pb + nt + sb + (nt + mb).closure()", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 49 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "grammar", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 50, | |
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text-anchor=\"middle\" x=\"719\" y=\"-1033.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:\u03b5/0.735152</text>\n</g>\n<!-- 11 -->\n<g id=\"node34\" class=\"node\"><title>11</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"541\" cy=\"-983\" rx=\"20.1809\" ry=\"20.1809\"/>\n<text text-anchor=\"middle\" x=\"541\" y=\"-977.4\" font-family=\"Times,serif\" font-size=\"14.00\">11</text>\n</g>\n<!-- 8->11 -->\n<g id=\"edge38\" class=\"edge\"><title>8->11</title>\n<path fill=\"none\" stroke=\"black\" d=\"M456.388,-1007.19C461.581,-1004.75 467.465,-1002.17 473,-1000.2 485.249,-995.836 499.123,-992.086 511.056,-989.212\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"512.001,-992.586 520.953,-986.919 510.421,-985.767 512.001,-992.586\"/>\n<text text-anchor=\"middle\" x=\"481\" y=\"-1003.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 9->17 -->\n<g id=\"edge44\" class=\"edge\"><title>9->17</title>\n<path fill=\"none\" stroke=\"black\" d=\"M559.086,-706.057C605.212,-708.918 736.124,-717.072 845,-724.2 912.513,-728.62 991.718,-734.028 1033.92,-736.927\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1033.86,-740.431 1044.07,-737.625 1034.34,-733.447 1033.86,-740.431\"/>\n<text text-anchor=\"middle\" x=\"808\" y=\"-727.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:\u03b5/0.980618</text>\n</g>\n<!-- 12 -->\n<g id=\"node37\" class=\"node\"><title>12</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"719\" cy=\"-656\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"719\" y=\"-650.4\" font-family=\"Times,serif\" font-size=\"14.00\">12</text>\n</g>\n<!-- 9->12 -->\n<g id=\"edge42\" class=\"edge\"><title>9->12</title>\n<path fill=\"none\" stroke=\"black\" d=\"M555.952,-694.469C565.792,-687.587 579.562,-679.013 593,-674.2 624.072,-663.071 661.812,-658.737 687.641,-657.055\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"688.136,-660.533 697.927,-656.484 687.749,-653.544 688.136,-660.533\"/>\n<text text-anchor=\"middle\" x=\"630\" y=\"-677.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 10->17 -->\n<g id=\"edge48\" class=\"edge\"><title>10->17</title>\n<path fill=\"none\" stroke=\"black\" d=\"M739.836,-481.138C801.636,-478.907 988.961,-475.733 1029,-517 1054.92,-543.712 1061.64,-653.905 1063.39,-708.317\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1059.89,-708.518 1063.68,-718.415 1066.89,-708.319 1059.89,-708.518\"/>\n<text text-anchor=\"middle\" x=\"900\" y=\"-489.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:\u03b5/0.0632042</text>\n</g>\n<!-- 13 -->\n<g id=\"node40\" class=\"node\"><title>13</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"900\" cy=\"-429\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"900\" y=\"-423.4\" font-family=\"Times,serif\" font-size=\"14.00\">13</text>\n</g>\n<!-- 10->13 -->\n<g id=\"edge46\" class=\"edge\"><title>10->13</title>\n<path fill=\"none\" stroke=\"black\" d=\"M736.915,-471.564C746.591,-465.995 759.131,-459.437 771,-455.2 803.482,-443.605 842.534,-436.541 868.893,-432.716\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"869.588,-436.153 879.014,-431.316 868.629,-429.219 869.588,-436.153\"/>\n<text text-anchor=\"middle\" x=\"808\" y=\"-458.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 11->17 -->\n<g id=\"edge52\" class=\"edge\"><title>11->17</title>\n<path fill=\"none\" stroke=\"black\" d=\"M561.511,-984.468C644.885,-990.258 969.696,-1007.76 1029,-934 1048.99,-909.142 1058.38,-817.947 1062.05,-769.586\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1065.55,-769.621 1062.78,-759.395 1058.57,-769.118 1065.55,-769.621\"/>\n<text text-anchor=\"middle\" x=\"808\" y=\"-992.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:\u03b5/0.587952</text>\n</g>\n<!-- 14 -->\n<g id=\"node43\" class=\"node\"><title>14</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"719\" cy=\"-936\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"719\" y=\"-930.4\" font-family=\"Times,serif\" font-size=\"14.00\">14</text>\n</g>\n<!-- 11->14 -->\n<g id=\"edge50\" class=\"edge\"><title>11->14</title>\n<path fill=\"none\" stroke=\"black\" d=\"M558.263,-971.757C567.934,-965.609 580.684,-958.409 593,-954.2 624.231,-943.526 661.943,-939.112 687.722,-937.287\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"688.221,-940.763 697.986,-936.652 687.789,-933.776 688.221,-940.763\"/>\n<text text-anchor=\"middle\" x=\"630\" y=\"-957.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 12->17 -->\n<g id=\"edge56\" class=\"edge\"><title>12->17</title>\n<path fill=\"none\" stroke=\"black\" d=\"M739.681,-658.473C803.645,-666.607 1003.04,-692.769 1029,-706 1034.21,-708.654 1039.19,-712.324 1043.67,-716.256\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1041.51,-719.041 1051.15,-723.453 1046.37,-713.997 1041.51,-719.041\"/>\n<text 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d=\"M920.82,-426.627C949.269,-424.44 1001.29,-425.209 1029,-455.2 1062.51,-491.47 1065.07,-642.735 1064.55,-708.379\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1061.05,-708.474 1064.44,-718.512 1068.05,-708.551 1061.05,-708.474\"/>\n<text text-anchor=\"middle\" x=\"992\" y=\"-458.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:\u03b5/0.260881</text>\n</g>\n<!-- 14->17 -->\n<g id=\"edge62\" class=\"edge\"><title>14->17</title>\n<path fill=\"none\" stroke=\"black\" d=\"M739.445,-940.657C793.413,-952.32 946.495,-976.639 1029,-900 1047.7,-882.629 1057.34,-811.233 1061.46,-769.58\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1064.96,-769.717 1062.41,-759.433 1057.99,-769.062 1064.96,-769.717\"/>\n<text text-anchor=\"middle\" x=\"900\" y=\"-956.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:\u03b5/2.57214</text>\n</g>\n<!-- 16 -->\n<g id=\"node50\" class=\"node\"><title>16</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"900\" cy=\"-883\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"900\" y=\"-877.4\" font-family=\"Times,serif\" font-size=\"14.00\">16</text>\n</g>\n<!-- 14->16 -->\n<g id=\"edge60\" class=\"edge\"><title>14->16</title>\n<path fill=\"none\" stroke=\"black\" d=\"M736.915,-925.564C746.591,-919.995 759.131,-913.437 771,-909.2 803.482,-897.605 842.534,-890.541 868.893,-886.716\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"869.588,-890.153 879.014,-885.316 868.629,-883.219 869.588,-890.153\"/>\n<text text-anchor=\"middle\" x=\"808\" y=\"-912.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 15->17 -->\n<g id=\"edge64\" class=\"edge\"><title>15->17</title>\n<path fill=\"none\" stroke=\"black\" d=\"M920.876,-616.489C948.451,-615.505 998.368,-617.897 1029,-644.2 1047.79,-660.333 1056.5,-687.496 1060.53,-708.621\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1057.12,-709.433 1062.2,-718.729 1064.02,-708.292 1057.12,-709.433\"/>\n<text 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class=\"node\"><title>24</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1599\" cy=\"-433\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1599\" y=\"-427.4\" font-family=\"Times,serif\" font-size=\"14.00\">24</text>\n</g>\n<!-- 23->24 -->\n<g id=\"edge80\" class=\"edge\"><title>23->24</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1525.33,-370.238C1539.08,-382.117 1559.46,-399.713 1575.14,-413.254\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1572.99,-416.026 1582.85,-419.914 1577.57,-410.728 1572.99,-416.026\"/>\n<text text-anchor=\"middle\" x=\"1554\" y=\"-404.8\" font-family=\"Times,serif\" font-size=\"14.00\">b:b</text>\n</g>\n<!-- 25 -->\n<g id=\"node67\" class=\"node\"><title>25</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1689\" cy=\"-357\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1689\" y=\"-351.4\" font-family=\"Times,serif\" font-size=\"14.00\">25</text>\n</g>\n<!-- 23->25 -->\n<g id=\"edge82\" 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"text": "<StdVectorFst with 61 states>" | |
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], | |
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}, | |
{ | |
"cell_type": "code", | |
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"input": "lattice = fst.linear_chain('banana', grammar.isyms) >> grammar", | |
"language": "python", | |
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}, | |
{ | |
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"input": "lattice.remove_epsilon()", | |
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"outputs": [], | |
"prompt_number": 53 | |
}, | |
{ | |
"cell_type": "code", | |
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"input": "lattice", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
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ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"531\" y=\"-493.4\" font-family=\"Times,serif\" font-size=\"14.00\">30</text>\n</g>\n<!-- 12->30 -->\n<g id=\"edge46\" class=\"edge\"><title>12->30</title>\n<path fill=\"none\" stroke=\"black\" d=\"M403.947,-436.849C428.874,-449.139 474.171,-471.473 503.136,-485.755\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"501.763,-488.98 512.28,-490.263 504.858,-482.701 501.763,-488.98\"/>\n<text text-anchor=\"middle\" x=\"458\" y=\"-482.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 41 -->\n<g id=\"node53\" class=\"node\"><title>41</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"531\" cy=\"-692\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"531\" y=\"-686.4\" font-family=\"Times,serif\" font-size=\"14.00\">41</text>\n</g>\n<!-- 14->41 -->\n<g id=\"edge52\" class=\"edge\"><title>14->41</title>\n<path fill=\"none\" stroke=\"black\" d=\"M405.122,-659.913C429.652,-666.216 472.431,-677.208 500.983,-684.544\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"500.242,-687.968 510.799,-687.066 501.984,-681.188 500.242,-687.968\"/>\n<text text-anchor=\"middle\" x=\"458\" y=\"-685.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 19 -->\n<g id=\"node37\" class=\"node\"><title>19</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"677\" cy=\"-633\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"677\" y=\"-627.4\" font-family=\"Times,serif\" font-size=\"14.00\">19</text>\n</g>\n<!-- 9->19 -->\n<g id=\"edge36\" class=\"edge\"><title>9->19</title>\n<path fill=\"none\" stroke=\"black\" d=\"M548.239,-590.413C572.189,-598.396 617.348,-613.449 647.054,-623.351\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"646.263,-626.777 656.857,-626.619 648.477,-620.136 646.263,-626.777\"/>\n<text text-anchor=\"middle\" x=\"604\" y=\"-623.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:>/0.166822</text>\n</g>\n<!-- 13 -->\n<g id=\"node39\" class=\"node\"><title>13</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"823\" cy=\"-581\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"823\" y=\"-575.4\" font-family=\"Times,serif\" font-size=\"14.00\">13</text>\n</g>\n<!-- 9->13 -->\n<g id=\"edge38\" class=\"edge\"><title>9->13</title>\n<path fill=\"none\" stroke=\"black\" d=\"M549.272,-584.762C597.125,-584.102 731.846,-582.243 792.157,-581.412\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"792.231,-584.911 802.181,-581.273 792.134,-577.912 792.231,-584.911\"/>\n<text text-anchor=\"middle\" x=\"677\" y=\"-586.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 34 -->\n<g id=\"node55\" class=\"node\"><title>34</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1280\" cy=\"-128\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1280\" y=\"-122.4\" font-family=\"Times,serif\" font-size=\"14.00\">34</text>\n</g>\n<!-- 15->34 -->\n<g id=\"edge54\" class=\"edge\"><title>15->34</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1135.15,-144.658C1140.27,-143.376 1145.82,-142.114 1151,-141.2 1184.26,-135.335 1222.87,-131.794 1248.92,-129.877\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1249.19,-133.367 1258.92,-129.176 1248.7,-126.384 1249.19,-133.367\"/>\n<text text-anchor=\"middle\" x=\"1188\" y=\"-144.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 26 -->\n<g id=\"node57\" class=\"node\"><title>26</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1280\" cy=\"-293\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1280\" y=\"-287.4\" font-family=\"Times,serif\" font-size=\"14.00\">26</text>\n</g>\n<!-- 15->26 -->\n<g id=\"edge56\" class=\"edge\"><title>15->26</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1115.9,-170.611C1116.95,-197.398 1123.04,-243.727 1151,-269 1177.62,-293.066 1220.44,-296.516 1249.13,-295.662\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1249.56,-299.146 1259.37,-295.159 1249.21,-292.154 1249.56,-299.146\"/>\n<text text-anchor=\"middle\" x=\"1188\" y=\"-298.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:<</text>\n</g>\n<!-- 20 -->\n<g id=\"node41\" class=\"node\"><title>20</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1445\" cy=\"-136\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1445\" y=\"-130.4\" font-family=\"Times,serif\" font-size=\"14.00\">20</text>\n</g>\n<!-- 10->20 -->\n<g id=\"edge40\" class=\"edge\"><title>10->20</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1208.9,-20.6315C1250.46,-22.9244 1347.7,-33.4891 1409,-82 1417.96,-89.0926 1425.35,-99.1403 1430.99,-108.649\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1427.97,-110.415 1435.86,-117.485 1434.1,-107.038 1427.97,-110.415\"/>\n<text text-anchor=\"middle\" x=\"1280\" y=\"-41.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:^/2.57214</text>\n</g>\n<!-- 22->11 -->\n<g id=\"edge74\" class=\"edge\"><title>22->11</title>\n<path fill=\"none\" stroke=\"black\" d=\"M691.508,-297.475C697.585,-291.681 705.151,-285.404 713,-281.2 726.782,-273.819 765.749,-264.291 793.139,-258.162\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"793.981,-261.561 802.994,-255.992 792.475,-254.725 793.981,-261.561\"/>\n<text text-anchor=\"middle\" x=\"750\" y=\"-284.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:^/0.509086</text>\n</g>\n<!-- 28 -->\n<g id=\"node75\" class=\"node\"><title>28</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"969\" cy=\"-297\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"969\" y=\"-291.4\" font-family=\"Times,serif\" font-size=\"14.00\">28</text>\n</g>\n<!-- 22->28 -->\n<g id=\"edge76\" class=\"edge\"><title>22->28</title>\n<path fill=\"none\" stroke=\"black\" d=\"M697.933,-310.969C747.928,-308.383 878.872,-301.61 938.119,-298.546\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"938.505,-302.03 948.311,-298.018 938.144,-295.04 938.505,-302.03\"/>\n<text text-anchor=\"middle\" x=\"823\" y=\"-308.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 37 -->\n<g id=\"node59\" class=\"node\"><title>37</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"823\" cy=\"-415\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"823\" y=\"-409.4\" font-family=\"Times,serif\" font-size=\"14.00\">37</text>\n</g>\n<!-- 16->37 -->\n<g id=\"edge58\" class=\"edge\"><title>16->37</title>\n<path fill=\"none\" stroke=\"black\" d=\"M697.42,-388.181C721.898,-393.45 764.202,-402.557 792.637,-408.679\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"791.915,-412.103 802.427,-410.786 793.388,-405.26 791.915,-412.103\"/>\n<text text-anchor=\"middle\" x=\"750\" y=\"-409.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 46 -->\n<g id=\"node68\" class=\"node\"><title>46</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"823\" cy=\"-680\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"823\" y=\"-674.4\" font-family=\"Times,serif\" font-size=\"14.00\">46</text>\n</g>\n<!-- 19->46 -->\n<g id=\"edge68\" class=\"edge\"><title>19->46</title>\n<path fill=\"none\" stroke=\"black\" d=\"M697.627,-637.328C719.71,-642.451 756.48,-651.751 787,-663.2 789.721,-664.221 792.519,-665.375 795.29,-666.587\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"793.915,-669.807 804.46,-670.831 796.855,-663.455 793.915,-669.807\"/>\n<text text-anchor=\"middle\" x=\"750\" y=\"-666.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 25 -->\n<g id=\"node49\" class=\"node\"><title>25</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"969\" cy=\"-549\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"969\" y=\"-543.4\" font-family=\"Times,serif\" font-size=\"14.00\">25</text>\n</g>\n<!-- 13->25 -->\n<g id=\"edge48\" class=\"edge\"><title>13->25</title>\n<path fill=\"none\" stroke=\"black\" d=\"M843.398,-577.564C865.275,-573.579 901.862,-566.578 933,-559 935.015,-558.51 937.088,-557.981 939.172,-557.431\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"940.104,-560.805 948.817,-554.777 938.247,-554.056 940.104,-560.805\"/>\n<text text-anchor=\"middle\" x=\"896\" y=\"-577.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:>/0.735152</text>\n</g>\n<!-- 18 -->\n<g id=\"node51\" class=\"node\"><title>18</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1115\" cy=\"-613\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1115\" y=\"-607.4\" font-family=\"Times,serif\" font-size=\"14.00\">18</text>\n</g>\n<!-- 13->18 -->\n<g id=\"edge50\" class=\"edge\"><title>13->18</title>\n<path fill=\"none\" stroke=\"black\" d=\"M842.184,-589.511C847.497,-591.656 853.387,-593.712 859,-595 938.829,-613.312 1036.08,-614.577 1084.15,-613.856\"/>\n<polygon 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class=\"edge\"><title>27->15</title>\n<path fill=\"none\" stroke=\"black\" d=\"M981.692,-210.37C987.849,-202.675 995.99,-193.98 1005,-188.2 1034.01,-169.591 1046.67,-176.96 1079,-165 1081.53,-164.065 1084.14,-163.046 1086.74,-161.996\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1088.1,-165.223 1095.97,-158.138 1085.4,-158.764 1088.1,-165.223\"/>\n<text text-anchor=\"middle\" x=\"1042\" y=\"-191.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:^/0.176504</text>\n</g>\n<!-- 35 -->\n<g id=\"node89\" class=\"node\"><title>35</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1188\" cy=\"-188\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1188\" y=\"-182.4\" font-family=\"Times,serif\" font-size=\"14.00\">35</text>\n</g>\n<!-- 27->35 -->\n<g id=\"edge92\" class=\"edge\"><title>27->35</title>\n<path fill=\"none\" stroke=\"black\" d=\"M989.64,-223.47C1027.89,-216.596 1112.55,-201.38 1157.55,-193.293\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1158.34,-196.707 1167.56,-191.494 1157.1,-189.818 1158.34,-196.707\"/>\n<text text-anchor=\"middle\" x=\"1042\" y=\"-223.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 42 -->\n<g id=\"node72\" class=\"node\"><title>42</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1115\" cy=\"-356\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1115\" y=\"-350.4\" font-family=\"Times,serif\" font-size=\"14.00\">42</text>\n</g>\n<!-- 21->42 -->\n<g id=\"edge72\" class=\"edge\"><title>21->42</title>\n<path fill=\"none\" stroke=\"black\" d=\"M989.721,-356C1014.04,-356 1055.61,-356 1083.92,-356\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1084.06,-359.5 1094.06,-356 1084.06,-352.5 1084.06,-359.5\"/>\n<text text-anchor=\"middle\" x=\"1042\" y=\"-358.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 30->19 -->\n<g id=\"edge102\" class=\"edge\"><title>30->19</title>\n<path fill=\"none\" stroke=\"black\" d=\"M549.449,-508.612C572.402,-521.862 613.089,-547.499 641,-577.2 645.68,-582.18 653.62,-594.675 660.756,-606.581\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"657.888,-608.608 665.988,-615.437 663.915,-605.047 657.888,-608.608\"/>\n<text text-anchor=\"middle\" x=\"604\" y=\"-580.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:>/0.176504</text>\n</g>\n<!-- 39 -->\n<g id=\"node98\" class=\"node\"><title>39</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"823\" cy=\"-499\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"823\" y=\"-493.4\" font-family=\"Times,serif\" font-size=\"14.00\">39</text>\n</g>\n<!-- 30->39 -->\n<g id=\"edge104\" class=\"edge\"><title>30->39</title>\n<path fill=\"none\" stroke=\"black\" d=\"M551.933,-499C601.807,-499 732.241,-499 791.689,-499\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"791.928,-502.5 801.928,-499 791.928,-495.5 791.928,-502.5\"/>\n<text text-anchor=\"middle\" x=\"677\" y=\"-501.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 52 -->\n<g id=\"node84\" class=\"node\"><title>52</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1115\" cy=\"-674\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1115\" y=\"-668.4\" font-family=\"Times,serif\" font-size=\"14.00\">52</text>\n</g>\n<!-- 25->52 -->\n<g id=\"edge86\" class=\"edge\"><title>25->52</title>\n<path fill=\"none\" stroke=\"black\" d=\"M985.138,-562.141C1010.35,-584.028 1061.11,-628.087 1090.84,-653.897\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1088.78,-656.747 1098.63,-660.659 1093.37,-651.46 1088.78,-656.747\"/>\n<text text-anchor=\"middle\" x=\"1042\" y=\"-643.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 32 -->\n<g id=\"node64\" class=\"node\"><title>32</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1280\" cy=\"-541\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1280\" y=\"-535.4\" font-family=\"Times,serif\" font-size=\"14.00\">32</text>\n</g>\n<!-- 18->32 -->\n<g id=\"edge64\" class=\"edge\"><title>18->32</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1129.93,-598.32C1135.96,-592.64 1143.38,-586.488 1151,-582.2 1181.04,-565.292 1192.2,-569.606 1225,-559 1233.29,-556.319 1242.27,-553.35 1250.49,-550.61\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1251.66,-553.908 1260.03,-547.414 1249.44,-547.27 1251.66,-553.908\"/>\n<text text-anchor=\"middle\" x=\"1188\" y=\"-585.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:>/0.587952</text>\n</g>\n<!-- 24 -->\n<g id=\"node66\" class=\"node\"><title>24</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1445\" cy=\"-580\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1445\" y=\"-574.4\" font-family=\"Times,serif\" font-size=\"14.00\">24</text>\n</g>\n<!-- 18->24 -->\n<g id=\"edge66\" class=\"edge\"><title>18->24</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1135.64,-614.795C1183.42,-618.566 1309.16,-624.889 1409,-598 1412,-597.191 1415.05,-596.1 1418.02,-594.854\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1419.63,-597.964 1427.14,-590.495 1416.61,-591.648 1419.63,-597.964\"/>\n<text text-anchor=\"middle\" x=\"1280\" y=\"-621.8\" font-family=\"Times,serif\" font-size=\"14.00\">n:n</text>\n</g>\n<!-- 55 -->\n<g id=\"node118\" class=\"node\"><title>55</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"677\" cy=\"-692\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"677\" y=\"-686.4\" font-family=\"Times,serif\" font-size=\"14.00\">55</text>\n</g>\n<!-- 41->55 -->\n<g id=\"edge130\" class=\"edge\"><title>41->55</title>\n<path fill=\"none\" stroke=\"black\" d=\"M551.721,-692C576.036,-692 617.611,-692 645.919,-692\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"646.055,-695.5 656.055,-692 646.055,-688.5 646.055,-695.5\"/>\n<text text-anchor=\"middle\" x=\"604\" y=\"-694.8\" 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-->\n<g id=\"edge118\" class=\"edge\"><title>37->25</title>\n<path fill=\"none\" stroke=\"black\" d=\"M840.815,-425.408C863.419,-439.913 904.102,-467.861 933,-498.2 940.052,-505.604 946.712,-514.55 952.291,-522.859\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"949.522,-525.023 957.889,-531.522 955.401,-521.223 949.522,-525.023\"/>\n<text text-anchor=\"middle\" x=\"896\" y=\"-501.8\" font-family=\"Times,serif\" font-size=\"14.00\">\u03b5:>/0.509086</text>\n</g>\n<!-- 43 -->\n<g id=\"node110\" class=\"node\"><title>43</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1115\" cy=\"-415\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1115\" y=\"-409.4\" font-family=\"Times,serif\" font-size=\"14.00\">43</text>\n</g>\n<!-- 37->43 -->\n<g id=\"edge120\" class=\"edge\"><title>37->43</title>\n<path fill=\"none\" stroke=\"black\" d=\"M843.933,-415C893.807,-415 1024.24,-415 1083.69,-415\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1083.93,-418.5 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class=\"edge\"><title>23->29</title>\n<path fill=\"none\" stroke=\"black\" d=\"M697.028,-234.489C746.598,-220.13 879.956,-181.502 939.088,-164.374\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"940.271,-167.676 948.902,-161.532 938.323,-160.952 940.271,-167.676\"/>\n<text text-anchor=\"middle\" x=\"823\" y=\"-206.8\" font-family=\"Times,serif\" font-size=\"14.00\">a:a</text>\n</g>\n<!-- 61 -->\n<g id=\"node102\" class=\"node\"><title>61</title>\n<ellipse fill=\"none\" stroke=\"black\" cx=\"1445\" cy=\"-719\" rx=\"20.8887\" ry=\"20.8887\"/>\n<text text-anchor=\"middle\" x=\"1445\" y=\"-713.4\" font-family=\"Times,serif\" font-size=\"14.00\">61</text>\n</g>\n<!-- 32->61 -->\n<g id=\"edge108\" class=\"edge\"><title>32->61</title>\n<path fill=\"none\" stroke=\"black\" d=\"M1294.62,-555.87C1323.21,-587.098 1389.66,-659.656 1423.46,-696.568\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"1421.2,-699.286 1430.54,-704.297 1426.36,-694.559 1421.2,-699.286\"/>\n<text 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"text": "<StdVectorFst with 74 states>" | |
} | |
], | |
"prompt_number": 54 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [] | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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