{ "cells": [ { "cell_type": "markdown", "id": "082f8bd0", "metadata": {}, "source": [ "# Weighted Finite State Transducers" ] }, { "cell_type": "markdown", "id": "f375d7d8", "metadata": {}, "source": [ "Weighted Finite State Transducers are a powerful generalization of...\n", "\n", "- hidden Markov models\n", "- finite state machines\n", "- regular expressions\n", "\n", "Many algorithms that are quite a bit of work to implement \"manually\" can be expressed \n", "as simple operations on weighted finite state transducers, including:\n", "\n", "- Viterbi\n", "- forward-backward\n", "- union, intersection, composition, closure, etc.\n", "\n", "The OpenFST library is one of the most efficient and widely used libraries for weighted finite state transducers.\n", "It is being used with very large language models and works quite reliably.\n", "\n", "All the examples given here are using Python bindings to the OpenFST library.\n", "\n", "The original OpenFST library is in C++, and some of the C++ design and behavior is reflected in the Python bindings.\n", "Most importantly, many errors will simply terminate the OpenFST process, and with it the Python process\n", "(hopefully, better error handling hooks will be in the next release of OpenFST).\n", "\n", "You can also use OpenFST directly from C++, and from the command line as well.\n" ] }, { "cell_type": "markdown", "id": "78311f1a", "metadata": {}, "source": [ "# Preliminaries" ] }, { "cell_type": "code", "execution_count": 1, "id": "6fac95fe", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pylab import *\n", "figsize(12,4)" ] }, { "cell_type": "code", "execution_count": 2, "id": "d6b45c6f", "metadata": { "collapsed": false }, "outputs": [], "source": [ "import openfst\n", "from openfst import StdVectorFst as FST" ] }, { "cell_type": "markdown", "id": "e7960358", "metadata": {}, "source": [ "A simple function to read out a label sequence.\n", "`openfst.GetString` does something similar." ] }, { "cell_type": "code", "execution_count": 3, "id": "74ecd15e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def label_seq(fst,which=1,full=0):\n", " result = []\n", " total = 0\n", " state = fst.Start()\n", " while not fst.IsFinal(state):\n", " assert fst.NumArcs(state)==1\n", " a = fst.GetArc(state,0)\n", " if which==0: l = a.ilabel\n", " else: l = a.olabel\n", " result.append(l)\n", " total += a.weight.Value()\n", " state = a.nextstate\n", " result = [chr(c) for c in result if c>=32]\n", " if full:\n", " return result,total\n", " else:\n", " return \"\".join(result)" ] }, { "cell_type": "markdown", "id": "192a1bc6", "metadata": {}, "source": [ "Before actually starting with the finite state transducers, let's\n", "first introduce the symbol table class.\n", "Internally, all inputs and outputs in the openfst library are\n", "integers, but for printing, that's not all that convenient.\n", "So, instead, we have a table that translates back and forth.\n", "For all these examples, we're just going to use ASCII characters.\n", "Symbol tables are stored with the transducers, allowing them\n", "to be interpreted even after saving." ] }, { "cell_type": "code", "execution_count": 4, "id": "2e613426", "metadata": { "collapsed": false }, "outputs": [], "source": [ "ASCII = openfst.SymbolTable(\"ASCII\")\n", "for i in range(127):\n", " if i==0:\n", " ASCII.AddSymbol(\"ϵ\",i)\n", " elif i<=32: \n", " ASCII.AddSymbol(\"$%02x\"%i,i)\n", " else:\n", " ASCII.AddSymbol(chr(i),i)" ] }, { "cell_type": "markdown", "id": "0925d652", "metadata": {}, "source": [ "# Language Models" ] }, { "cell_type": "markdown", "id": "0bafcc8e", "metadata": {}, "source": [ "Although we are going to spend a lot of time talking about the details\n", "of finite state transducers, it is important to keep in mind that\n", "a finite state transducer is really just a **large set of strings**\n", "with associated costs. \n", "\n", "A simple language model can be implemented without all that\n", "machinery like, for example like this:" ] }, { "cell_type": "code", "execution_count": 5, "id": "6b39c5a4", "metadata": { "collapsed": false }, "outputs": [], "source": [ "class FiniteLanguageModel:\n", " def __init__(self,strings):\n", " self.strings = strings\n", " def cost(self,s):\n", " return self.strings.get(s,inf)" ] }, { "cell_type": "code", "execution_count": 6, "id": "7bcca2b7", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm = FiniteLanguageModel({\"hello\":1.0,\"world\":1.5})\n", "lm.cost(\"hello\")" ] }, { "cell_type": "markdown", "id": "2c9a7379", "metadata": {}, "source": [ "The second aspect of finite state transducers as language models is that they can be manipulated\n", "as objects in their own right. So, we can take two language models and combine them in some way.\n", "Here is a simple high level example:" ] }, { "cell_type": "code", "execution_count": 7, "id": "44d26697", "metadata": { "collapsed": false }, "outputs": [], "source": [ "class UnionLanguageModel:\n", " def __init__(self,u,v):\n", " self.u = u\n", " self.v = v\n", " def cost(self,s):\n", " return min(self.u.cost(s),self.v.cost(s))" ] }, { "cell_type": "code", "execution_count": 8, "id": "085a7c7e", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.7" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2 = FiniteLanguageModel({\"the\":0.5,\"fox\":0.7})\n", "lm3 = UnionLanguageModel(lm,lm2)\n", "lm3.cost(\"fox\")" ] }, { "cell_type": "markdown", "id": "e93f961c", "metadata": {}, "source": [ "Language models are a key part of speech recognition, handwriting recognition, and OCR.\n", "\n", "You can think of the recognition process as being divided into two parts:\n", "\n", "- the low-level recognizer analyzes sound or images and outputs a collection of recognition hypotheses with associated costs/probabilities\n", "- each recognition hypothesis is tested for its presence in the language model\n", "- the costs of the recognition hypothesis are combined with the costs from the language model\n", "- the result that has the lowest combined cost is returned by the system\n", "\n", "In principle, this seems straightforward, but the number of recognition hypotheses and\n", "the number of possible strings in the language model grows exponentially in the length of the input.\n", "\n", "This means that we need efficient algorithms for computing with these collections of strings." ] }, { "cell_type": "markdown", "id": "ab6e3d89", "metadata": {}, "source": [ "Weighted finite state transducers really give us a collection of capabilities:\n", "\n", "- they compact the set of strings in something like a finite language model into a small, efficient data structure\n", "- they allow statistically correct combinations of costs (where costs represent log proabilities)\n", "- they allow statistically correct combinations of multiple language models\n", "- they can represent infinite sets of strings\n", "- they can perform *transductions*: mappings from input strings to output strings with associated costs" ] }, { "cell_type": "markdown", "id": "1eafbc48", "metadata": {}, "source": [ "# Basic FST Construction" ] }, { "cell_type": "markdown", "id": "bf252d7e", "metadata": {}, "source": [ "FST objects represent directed graphs in the form of a ragged array of nodes." ] }, { "cell_type": "code", "execution_count": 9, "id": "6a08a201", "metadata": { "collapsed": false }, "outputs": [], "source": [ "fst = FST()" ] }, { "cell_type": "code", "execution_count": 10, "id": "396fd742", "metadata": { "collapsed": false }, "outputs": [], "source": [ "states = [fst.AddState() for i in range(3)]" ] }, { "cell_type": "code", "execution_count": 11, "id": "b046174e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_string_fst(s):\n", " fst = FST()\n", " states = [fst.AddState() for i in range(len(s)+1)]\n", " fst.SetStart(states[0])\n", " for i,c in enumerate(s):\n", " fst.AddArc(i,ord(c),ord(c),0.0,i+1)\n", " fst.SetFinal(len(s),0.0)\n", " return fst" ] }, { "cell_type": "code", "execution_count": 12, "id": "ced18b02", "metadata": { "collapsed": false }, "outputs": [], "source": [ "fst1 = make_string_fst(\"hello\")" ] }, { "cell_type": "code", "execution_count": 13, "id": "57480800", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arc = fst1.GetArc(0,0)\n", "arc.weight.Value()" ] }, { "cell_type": "markdown", "id": "286c435f", "metadata": {}, "source": [ "The important parts of this data structure are:\n", "\n", "- The fst consists of a list of states; you need to add new states with `AddState()`\n", "- States are identified by integers; the total number of states is `NumStates()`.\n", "- Trying to use a non-existent state or arc will result in a segmentation fault (the underlying library is C++ w/o error checking)\n", "- Each state can be a start state (only one), and/or an accept state, optionally with an accept cost.\n", "\n", "For the arcs, you should know:\n", "\n", "- For each state, there is a list of arcs.\n", "- You can find the number of arcs with `NumArcs(state)`\n", "- You can get the i'th arc with `GetArc(state,i)`\n", "- Once you have an arc, it has properties `ilabel`, `olabel`, `weight`, and `nextstate`\n", "- The `weight` itself is an instance of a class. To get the numerical weight, use the `Value()` method on it." ] }, { "cell_type": "markdown", "id": "7594d4c3", "metadata": {}, "source": [ "Let's illustrate this with a function that actually draws an FST." ] }, { "cell_type": "code", "execution_count": 14, "id": "713af8fe", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def show_fst(fst):\n", " import pydot,pylab\n", " graph = pydot.Dot(rankdir=\"LR\")\n", " isyms = fst.InputSymbols()\n", " if not isyms: isyms = ASCII\n", " osyms = fst.OutputSymbols()\n", " if not osyms: osyms = ASCII\n", " for s in range(fst.NumStates()):\n", " if s==fst.Start():\n", " n = pydot.Node(\"%d\"%s,shape=\"box\")\n", " graph.add_node(n)\n", " if fst.IsFinal(s):\n", " l = '\"'\n", " l += \"%d\"%s # node id\n", " if fst.Final(s).Value()!=0.0: # optional non-zero accept cost\n", " l += \"/%s\"%fst.Final(s).Value()\n", " l += '\"'\n", " n = pydot.Node(\"%d\"%s,label=l,penwidth=\"3\")\n", " graph.add_node(n)\n", " for t in range(fst.NumArcs(s)):\n", " a = fst.GetArc(s,t)\n", " l = '\"'\n", " l += '%s'%isyms.Find(a.ilabel)\n", " if a.olabel!=a.ilabel: l += \":%s\"%osyms.Find(a.olabel)\n", " v = a.weight.Value()\n", " if v!=0.0: l += \"/%s\"%v\n", " l += '\"'\n", " n = a.nextstate\n", " e = pydot.Edge(\"%d\"%s,\"%d\"%n,label=l)\n", " graph.add_edge(e)\n", " graph.write_png(\"/tmp/_test.png\")\n", " pylab.gca().set_xticks([]); pylab.gca().set_yticks([])\n", " pylab.clf()\n", " pylab.imshow(pylab.imread(\"/tmp/_test.png\")) " ] }, { "cell_type": "code", "execution_count": 15, "id": "1a197c9d", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Pw4nFYkpISKD//Oc/ivcGU1jir7tWRzYGsVhMX3zxBZmYmNCrr75KZWVlJBQK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\nsyebZo4ePSqDg4PMXLF4PC5+v1/Gx8eZtSLhcFh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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_fst(fst1)" ] }, { "cell_type": "code", "execution_count": 16, "id": "0f51db4e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_rstring_fst(s):\n", " fst = FST()\n", " states = [fst.AddState() for i in range(len(s)+1)]\n", " fst.SetStart(states[0])\n", " for i,c in enumerate(s):\n", " fst.AddArc(i,ord(c),ord(c),0.0,i+1)\n", " fst.AddArc(i,ord(c),ord(c),0.0,i)\n", " fst.SetFinal(len(s),0.0)\n", " return fst" ] }, { "cell_type": "code", "execution_count": 17, "id": "2a6b8b44", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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j1tZWREdH47fffqOPV9WsqakJOTk5ePfdd9HS0gKhUAipVCq/ibG1tYW1tTX0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\nSUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fst2 = make_rstring_fst(\"hello\")\n", "show_fst(fst2)" ] }, { "cell_type": "markdown", "id": "8458eb5d", "metadata": {}, "source": [ "# Built-In Constructors for Strings" ] }, { "cell_type": "markdown", "id": "89d2a7a3", "metadata": {}, "source": [ "There are some built-in constructors that make it easy to add strings to finite state transducers." ] }, { "cell_type": "code", "execution_count": 18, "id": "7cca0880", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RnZ0NHx8fVpNU586dw44dO7BmzRr1QiZtMGrUKIhEItTV1WnNh3vhl19+weTJ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RUFBQV7vTi7FvMxwYQQQgghhMTCIzMmmK4MQQghhBBCHgV0ixxCCCGEEJJwqAkmhBBCCCEJh5pg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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fst = FST()\n", "fst.AddString(\"Hello\")\n", "fst.AddString(\"World\")\n", "show_fst(fst)" ] }, { "cell_type": "code", "execution_count": 19, "id": "748a5541", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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09OjIkSPVrtu0aVO9xt0zZ86Qrq4ubdmyhTl29OhR0tDQoD179iiuIrUgkUjo8uXL5O/v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\nAbHgRs6zaNMBAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fst = FST()\n", "fst.AddString(\"Hello\",7.0,3.0,1.0)\n", "show_fst(fst)" ] }, { "cell_type": "code", "execution_count": 20, "id": "f18e0cb6", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ICeH27duIiYlRa5lv88UXX6i1PJlMppaePEXQ0NCApqamoM2XhKKpqQlNTU3l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\nwWAwPltYsMtgMBgMBoPB+Gz5X04HCgNhdXdMAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fst = FST()\n", "fst.AddTranslation(\"Hello\",\"World\")\n", "show_fst(fst)" ] }, { "cell_type": "markdown", "id": "60981bb2", "metadata": {}, "source": [ "# Union, Concatenation, ... and Epsilon" ] }, { "cell_type": "markdown", "id": "f85c0652", "metadata": {}, "source": [ "Finite state transducers are closely related to regular expressions,\n", "and there are a number of things we can do with regular expressions,\n", "such as concatenating them, making closures, etc. Several of these operations are built into openfst." ] }, { "cell_type": "code", "execution_count": 21, "id": "ba635a76", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BSqUCwzAP/d6tW7fA4/EQFBRklGwEl8vVt7kuI8nlctG1a1dwOJzHnyPWSkyb\nNg1isRipqalGtdtScnJyMHXqVAwePBjbtm1DaWkpFArFP5ZZ+/PPPyESiYw22sLj8cDj8Zr49d37\n3N2FiYZea/B3LcHBwbCxscHVq1eNZvdRFBQUwNvbG8899xwOHz78SF9lGAZFRUVQqVTo1q2b0XTK\nZDIcP34carUaY8eONdlCaQ6HgzFjxiAlJUVfUqwtsH37dkRHR2P+/Pk4d+4c6uvroVar9b/3e1Eq\nlUhLS4NCoQBw1xeee+45o+qVyWSor6+HTCaDSqV6oE5D4eDggNGjR+v/vnnzJkpLSx/ruy2KEM6f\nP4/vvvsOycnJiI6ORnR0NE6cOIF33nkHJ0+eRFBQEE6fPo133nmnJYdn6WBcu3YNPj4+cHV1NbUU\nk2Brawtvb2/cvn37H4PGto5YLMbevXsxbtw49O7dG++99x7++OMPFBUVob6+vsm5EREKCgrg4OAA\nFxcXk2nWaDT45ptvYGZmhl69ehnVtouLC4KDg5u9WtmUqNVqnD9/HvPnz0dISAhefvllHD58GPn5\n+RCJRFCr1U0+f/XqVfj7+xu9jYuKipCbm4v09HQkJSVhxYoViI2NxahRo4yqw97eHu7u7sjLyzPq\nTf9RNDQ04ODBg5g0aRJiYmLw9ttv4/Tp0ygoKIBEImniq3K5HNnZ2XB3dzfoAqp7YRgGV69exZEj\nRzB27FhERkYaxe7DiI2NBQBcvnzZpDruRavVory8HF9//TX69++PuLg4rF69GpcvX0ZpaSlkMpm+\nHXNyciASifS/wfDwcHTu3NmoemNjY+Hq6oro6Gh8/PHHyM/PN9r9TiAQoG/fvvrkR35+PiorKx/L\nJ1s0Sa9v374PPbnff/+9JYdk6cDcvn0bgYGBHbbczqMQCATw8fHRVywwdkayNaG7u0wiLy8P69at\nw7p16xAWFoYxY8Zg0KBB8Pb2hru7O7hcLsrLy+Hu7m7U7Ny9KJVK/P7771i9ejX8/Pwwb948o2uI\njIzErVu3jG63pXC5XDAMAyKCVCrFvn37sGfPHnh4eGD06NEYOHAgwsLC4OnpCQcHB2RnZyM4ONjo\nNVYnTZqkf7gwMzNDTEwM3nzzTfTs2dOoOmxtbeHl5YWysjLIZDKjzYN8HHT36KKiImzYsAEbN25E\ncHAwRo4ciWHDhqFz585wdXWFUqlEcXExhEKh0er619TUYNeuXRAKhZgwYYLJyyYKhUK4ubnhypUr\n6N+/v0mCzF68AAAgAElEQVS1/B3dSEx2djaWL1+OVatWITo6Wp+M8PHxQVZWFmQymf47xvQDOzs7\nhIeHw97eHra2tqiqqsL69etRXFyM1atXw8vLy+AaLCws4O/vD4FAAKlUCplMhrKyMqhUqkd+9+mM\nSp5CiAiVlZXIy8tDXV0dVCoVOnXqBHd3d3Tp0sWgnV9NTQ18fX07TDHy5sLn8+Hm5qYv1+bm5mZq\nSc2CiO4bWtIFw8DdaQ83btzA2rVr0atXLwwZMgSBgYEoKChAz549TTLMKZPJcOLECbz//vsQCARY\nuXIlgoODja7Dy8sLJ0+exF9//WV0282ltLT0vuFg3WKs8vJy7NixA0lJSejatSuGDh2K3r17Iycn\nB/Hx8UYPYgYPHgw/Pz+o1WpUV1ejoqICycnJiIyMhI+Pj9F0dOrUCa6urkhPT8fNmzfbxGjX3xeX\n3eur2dnZyMrKwoYNG9C7d2/069cP/v7+qKqqgp+fn1H0abVanDp1CpcuXcKKFSvaRP1aDocDb29v\n5OTktBlfraura5LJ1LWjWq3G5cuXcfnyZdjb2yMuLg5WVlZNdgANCAgwms6ZM2eiW7duCAsLg0Qi\nwenTp5GYmIg//vgD586dw9SpU42iw9raGm5ubvpNQsRi8X0jVw+CDYKfEnJycrBjxw4cP34cRUVF\nkMvlsLW1RWhoKKZPn44FCxYYzLZMJoO1tbXJn/ZNBY/Hg0AgQGZmJlatWtUut+gUiUQPfU+XqVAq\nlUhJScG5c+fg4uICIkJoaCjUanWzdvB5Uurq6nDo0CH897//BQAsXbrU6PPjdNja2iI7Oxvvv/++\nSew3h7q6uocGAEQErVYLrVaL69ev4/r163B0dIRSqYSnpyekUul9FUgMia7+fENDA3JycrBx40bs\n3r0b/v7+eO2114ymQ7c1eUZGBlatWmXU2roPQyKRPPQ9XXZYpVIhJSUFKSkp+gxeQEAApFKpwbPZ\narUan332GRQKBbKyslBQUAAA+g0evv32W7i4uGDhwoUG1fF37OzscPny5Tbjqzk5OfdV+9Gha8e6\nujocP34cAJoEzMaol61j1qxZ+v87OztjzJgxKC8vx5IlS1BcXGw0Hbr7rA65XP5YFVXYIPgp4ejR\no9i+fTu6dOmCOXPmwMHBAQqFArm5uQbf0czMzOwfF9d0dHQBhJ2dHbp27WrUDqq1eJxFBroFaT4+\nPggPD0d+fj40Go1R50FXV1dj9+7d2LhxI8zNzbFkyRK88MILJnsA02q1sLGxQVhYmEnsN4fy8vJH\nZsF0pS9dXV3Ro0cP3LhxA0RksrnuVlZWiIiIwNixY7Fr164HFu03JDrfdnBwQNeuXdvEVKfH2alQ\n1yf7+voiMDAQVVVVYBjGKO3IMIx+kfCSJUvue3/FihUAYPQgWNeObcVX6+rq/nEqla5PMzc3h52d\nHSQSiT7zachyeo/iYeVxDY3OF3Xcu0D6n2CD4KeE+vp6KJVKuLi4ICgoCKGhofD394dCodAPHxgK\nW1vbJpP4nzY0Gg3q6+sRHh6ORYsWtbv924kIaWlp2LJly33v6eaQ2tjYYNCgQYiPj0dYWBjc3Nyw\nZcsWCAQCo+3CVFFRge3bt2Pbtm2wsbHBkiVLMGnSJKPVyXwQdXV1CAkJMfjOca1Beno6cnNzHxhI\nmpmZgc/no3v37ujXrx+ioqIQFhaGDz74AL6+vkZ7sDt16hSICFFRUbC3t4dCocDNmzexd+9eWFpa\nGjUbDdz1balUim7dumHx4sVtYjrEjRs38NVXX933OpfLBRHBzs4O8fHx6N27N6Kjo2FtbY2dO3fC\nycnJKO3I5/Oxbdu2+17ftm0bLl26hE8++cQk11EkEiE2NrbN+OqaNWtw/vz5++a16iqjeHh4oH//\n/ujZsyfKy8ubbP/8TyN3rcmhQ4fg4OCAyMhI2NnZoba2FmfOnNGvIzDm1CSNRtNkFMTGxuax+n42\nCH5KGD58OM6dO4e0tDRkZWXBzs4O7u7uGDduXJPhDEMgFApRWFho1Gzwf//7X5w7dw7A3eE3rVaL\ncePGAQAGDRrUpLSfoVEqlSgtLYWDg4PRFp4YEt3TtYWFBeLi4jB48GDExsbC398fQqEQ1tbWUKlU\ncHd3R3V1NWQymVHmBV+7dg0bN25ERUUFXFxc8M0332D//v36993c3LBu3TqjDln/9ddfRl+l3Vro\nsoX+/v4YO3Ysevfuja5du8Lb2xv29vbgcrkICAhAcXGx0R5wT5w4gePHj8Pd3R2dOnWCRqNBTU0N\nbt++jaioKIwcOdIoOnQ0NDSgvLwcDg4ObSIL/Hd0WTlzc3NER0dj5MiR6NGjB/z9/eHt7Q2BQICa\nmho4OjqisrISWq3W4Gs3eDweXn755fteP336NC5duoTnnnsOgYGBBtXwd1QqFQoLC5GQkGBUu4/L\nvVnf/v37Y9iwYejevTv8/f3h4eGBlJQUHDhwQB8EG2sx7oEDB5CZmQk3Nzfw+XwoFAoUFxejoqIC\nCQkJ6Nu3r1F0MAyDuro6/SgIl8uFs7Mz+Hz+I7/LBsFPCT179sTWrVuRnp6OtLQ0XL16FX/88Qfu\n3LkDS0tLvPjiiwazHRoait9++82oQzRXrlzBsWPH9H8zDKP/29jZIqlUitLSUgQEBDyWU7ZlOBwO\nvLy8MGzYMIwZMwbh4eFwdXWFjY1Nk6EnCwsLeHl54dy5c6itrTVKZqe+vh4VFRUA7k6LSE5ObvK+\nn5+f0YcJMzIyjPrA9aTohsStra0xaNAg/Qp0Nzc32NnZ3ZdZCQ8Px6lTp4wWBE+YMEG/+KaoqAg8\nHg++vr6YM2cOZsyYYfRSW7rfXERERJvzbQ6HAzc3N4wYMQIjR45Et27d4O7uDhsbmyZ1lgUCAbp0\n6YKzZ8+iqqoKHh4eJlRtGvLy8iASiRAfH29qKQ9E9yA6evRodOnSBS4uLk3W2QQEBDSZy33hwgUw\nDGPwOvmzZs3Crl27kJKSgtLSUlhZWSE0NBQvv/wyEhISjPZbUqlUyM7O1i/sdXZ2hoeHx2NVpGKD\n4KcEPp+PoKAg+Pn5YfTo0VCpVLh48SImTpyI5ORkgwbBUVFREIvFyMrKQu/evQ1m5142btyIxMTE\nB75n7MUrYrEYhYWFGD16dLtdHGhlZYURI0YgISEB/fr1g7OzM6ytrR/ayXA4HPj6+uLIkSOoqqpC\nSEiIwTWOHj0ahYWFD32fx+MZtYTVrVu3UFlZafT6xC3FwsIC0dHRGDJkCEaPHg2hUAiBQPCPwV33\n7t1RW1uLW7duoUePHgbX2KtXL4SHh6OhoUH/QGNubg4rKysIBAKjb44jEolQWlqKZ599ts34tpmZ\nGYYMGYKEhAQMHDgQTk5OsLa2fujQMJ/Ph7+/P44ePYq8vDyTBcFfffUV1qxZY5JqEampqXByckKX\nLl2MbvthuLq6YurUqRg5ciRiYmLg4OAAKyurB2bqfXx89KUpdZufXLlyRV//2FAMGDAAsbGxUCgU\naGxsBIfDgYWFBQQCASwtLY3mE1KptEl5Xj8/P7i6urJzgln+jy+//BJyuRwTJkyAv78/VCoVLl++\nDK1WC7lcblDboaGhCA8Px+7du40WBDs7OxvFzqNQqVS4cOECuFwu+vTpY2o5LYLD4SA0NBTHjh0D\nl8t97ECje/fusLW1xZ9//okePXoYvCqGlZWVUeegPYqtW7ciPDwcERERppbyWISFheHTTz8Fh8N5\n7DYODw9HWFgYkpKSjBIE83g82NnZtYnFpQqFAhcuXACfzzdav/Y4dO3aFcePH39sX+VwOPDz84Od\nnR3S0tLQp08fkwT0Tk5OcHJyMrpdrVaLAwcOYMyYMW2qlv3s2bMxa9asx1rgxePx8MwzzyA1NVW/\n/mffvn0GD4LNzc1hb29v0ml+RITy8nKcPHlS/1pUVNRj3wtMu6csi9EoLCzEihUrEBERAUtLS7i6\numLVqlXw8vLCiBEjmnUshmGwfv16TJ48GQsWLMDSpUuxceNG7N27F6dPn8bNmzdRUVEBsVgMiUQC\nmUyGoUOH4siRI/p5Z08LEokEv/zyC2JjY9vdgrh74XA4921X+yhcXV3RvXt3nD9/HuXl5QZU1/ao\nra3Fnj17MG3atDaTIXwUHA4HZmZmzWpjDoeDyZMn48CBA6itrTWguraHSCTCyZMnERMT0yYWxOlo\nia96e3ujW7duuHz5sr5k2dPC+fPnUVBQgEmTJplaShO4XC7MzMweu/+YMGGCfmMitVqNgwcPIisr\ny5AS2wRqtRobNmxAQ0MDgLsPU3FxcY99v23xY49Wq0VMTAy8vLxw7NgxiEQiJCQkoLCwEL6+vti3\nb1+HWATUUXjzzTcRGBiIX3/9FQUFBbC0tETXrl0xdepUDBkypFnH4nK5UKvVOHPmDOrq6sDhcO4r\nk8TlcmFpaQk7Ozs4OTnB0dERdXV1mDhxIjZv3mzybTKNARHh559/RkFBAZYvX25qOSZh3LhxOH78\nOH799Vd4e3sbtV6wqWhsbERiYiKcnZ0xffp0U8sxOAkJCVi/fj1WrlyJxMTENpVNMxRarRY///wz\nysvL8cknn5hazhNjbW2NZ555BikpKUhOToZQKDRaVRdTIpVKsWPHDsTFxaFr166mlvNEBAcHo3//\n/vj++++h1WpRWVmJ7du3Y+XKlbC0tDS1PINx7do1fP/99wDuPgD26NED0dHRj/39FvdW69evR2ho\nqL681po1azB06FC8/fbb+PTTT7FmzRp9QfOHodFoUFVVBbFY3FIZHQY+n2/QXV6EQiEWLFjQapti\nREZGwt3dHSKR6IGLYhiGgVwuh1wuR1lZGaysrNC1a1dkZ2ejtrYWRNRuMmQtpbi4GFu2bMG4cePa\nzZB4axMSEoLRo0djz5496N+/f4d/+CEiXL58GYcOHcKHH37YoW8+OqytrfHuu+/irbfewqRJk0w2\nnG5M8vPzsWPHDowdOxbh4eGmltMqREVFIS4uDsePH0dMTAzCw8ONPsfamGg0Gvzyyy+4ffs2Pv74\n43a5idG9cDgcLFq0CL/++iuqqqogl8tx+PBhxMfHY/z48R3y4bSiogKvvfaaPgvs6OiIYcOGNavW\nc4uuSklJCX755Re8//77+OKLLwDc3Yzh7NmzAO6uGBwwYMAjg+Da2lps27YNFy9ebFN7rhsbuVwO\ngUCAffv2mVrKYxMeHg4nJ6cmu9T8HV15Hj8/P4wYMQKvv/46Vq9ejeXLl8PHx6dNLUJobcRiMZYu\nXQpra2vMnTu3wwcF/8QLL7yA8+fPIzExEV9++aV+yK4jUlhYiDVr1qBnz56YPHmyqeUYjYkTJ+KX\nX37BihUrsGXLFqNtwWsKxGIxVqxYAXt7e4MuKDY2AoEAzz77LDIyMrB3714IhUKTzNE1BkSEmzdv\n6h/Oo6OjDV4azhh069YNL730EhITE9HY2IjCwkJs3rwZnTt37jDnqKO6uhqrV69GWloagLvzk+Pj\n4zFq1KhmBfwtCoL/85//IDExscle1ZWVlXBzcwNwtx6nrl7d31m2bJn+/yEhIbhz5w4cHR0xdOjQ\nlkjpEKSmpiIlJcXUMh4JwzAQiUQoKChAXl4eNBoNeDzeA8tOcTgcCAQC9OrVCzNnzsT48eNha2uL\nZcuWYe7cuVi7di3ee++9NrFvfGsjl8uxdetWpKSkYPv27fD29ja1JJMiFAqxaNEivP766/jqq6+w\naNGiNrG9bGtTWVmJzZs3Q6FQYPny5W2uZJYhsbCwwAcffIBXX30V69evx5IlSzpkqS25XI7Nmzfj\n4sWL2Lp1K7y8vEwtqVWJjIzEjBkz8OWXX8Lb2xsvvvhih/wdFxYWYvv27eDz+Zg2bZrRy2YaksWL\nF+PSpUs4deoUtFotUlNT8fnnn+PDDz9ESEhIh0jIiMVibNmyRb/pii7ZNmfOHFRUVGDv3r2PfzBq\nJseOHaNXX32ViIiSk5NpzJgxRERkb2/f5HMODg73fffv5goKCmjatGm0du3a5sroUOzcuZOCgoJM\nLeOBaDQaysnJoWPHjtHnn39Oc+fOpfHjx9PYsWNpxIgRZG9vTwD0/zgcDpmZmZGvry8tWrSI0tLS\nSKVS6Y/HMAwdP36cBg4cSMuWLaPq6moTnl3ro1AoaPPmzRQREUFff/01abVaU0tqE2i1Wvruu+8o\nICCAvvjiC1IoFKaW1KrU1tZSYmIiDR48mH788ccmv/mnhcbGRjp27BgNHDiQVq5cSTU1NaaW1Koo\nFArasGEDhYaG0s6dOzusb0ulUlq7di3FxcXRnj17TC2n1amoqKAPPviARo8eTSdOnOiQvpqSkkLB\nwcH6+7KdnR29+OKLdPPmzXb/u62srKQ1a9aQm5ub/vzs7e1p1apVJJPJ7vv8o8LcZmeCU1NTcfTo\nUfzyyy9QKpWor6/HjBkz4ObmhoqKCri7u6O8vLxNrZZleXy0Wi1KSkpw48YNXLt2DXfu3EFlZSU6\ndeoEZ2dn+Pj4YMCAARAKhairq0N2dnaTOd18Ph+9evXC3LlzMWTIkPtq9XE4HAwcOBBisRhbt27V\n7x6kG0Voz8hkMuzatQs7d+7EvHnzMH369A49p645cLlcPPfcc1Aqlfjyyy/BMAzmz5/f7ufhAXen\nde3atQsnTpzA888/j+HDhz8Vi4r+jpmZGQYPHgyxWIxvvvkGPB4PL774Yoe4F8hkMuzYsQO7du3C\nwoUL8fzzz3dY3xYIBJg5cyZkMhkSExOhUqkwY8aMDnG+1dXV2LBhAy5duoSXXnoJ/fr165C+GhcX\nhw8++ADvvfceiouLIZFIsH//fkilUrzzzjuIiopql1MjCgoK8L///Q87d+7U7w7H4/Ewe/ZszJkz\np0UjjM0OgletWoVVq1YBAM6ePYvPPvsM3377Ld5++20kJSVhyZIlSEpKwoQJE5othsX4EBHEYjHS\n09ORnp6OGzduoLCwEObm5vDy8kJgYCDGjh0LDw8PuLq6wsXFBQKBABwOB1KpFI6OjigsLASXywWf\nz8esWbPw8ssvIzQ09KGVAPh8PsaMGQOtVoukpCRIpVK89tpr7XraQG1tLXbs2IEjR45gzpw5eP75\n5ztk5/okWFhYYNq0aTA3N8fGjRshlUrx6quvtusgqaqqClu2bEFKSgqmTp2KyZMnd4jAvqVYWlpi\n/PjxYBgG3377LaRSKV555RUIhUJTS2sxNTU12LZtG44dO4YFCxZg6tSpHd63HR0dsWDBAnTq1Amr\nV6+GSCTCggUL2vVCz6qqKnzyySfIzMzE66+/juHDhxtlO3dTYG5ujvHjx0MikWDlypWoqKiATCbD\nTz/9hLKyMixZsgRjx45tN1MjGIZBRkYG1q1bh19++QV1dXX69UjTp0/H4sWLW55Ie5K09JkzZ2js\n2LFEdHc4cPDgwRQYGEhDhw6lurq6R6al2ekQdzH2dAiGYSgrK4u2bdtGs2fPptjYWAoNDaURI0bQ\nO++8Q/v376dr165RcXExSSSShw6fMAxDs2fPJnNzc/L29qbdu3dTZWUlMQzzWDrkcjkdOXKEhg4d\nSpMnT6aMjIx2OVSTm5tL8+fPp969e9O3335L9fX1ppbUppHL5XTw4EGKj4+nGTNmUGZmpqklNRuG\nYSg3N5deeOEF6t+/P/3www8klUpNLavNIJPJ6ODBgzR48GBKSEig69evt0vfzsrKopdeeoni4+Np\nz549T10b19fXU1JSEoWGhtL8+fOpoKDA1JJaxLVr12jo0KHUv39/OnnyZIebjvUw6urqaPPmzdS5\nc2f91AEul0ve3t709ttvt4spS1KplJKSkqhnz55kaWnZZOrlv//9byovL//H7z8qzH2iILi5sEHw\ngzFGEFxaWkoHDhygRYsWUWxsLLm5uVFERAS99tprtHPnTsrMzKSqqiqSSqWkVqsfO5BNSkqiRYsW\nUXFxcYvmVqnVarpy5QpNnjyZIiIiaMeOHaTRaJp9HFOgVCrp2LFjFB8fT8OGDaNTp06RUqk0tax2\ngUqlogsXLtC4ceMoJiaG9uzZQ3K53NSyHpsffviBIiMjacSIEXTx4sUOOa/wSVGpVHT58mUaP348\nRURE0K5du9pNIKxQKOjQoUMUFxdHI0eOpLNnzz61vq1UKumPP/6g+Ph46tOnD/3000+kVqtNLeux\nUCgUtG7dOhIKhfTss8/S7du32839pbWQy+W0e/fuJnOEAZClpSVFRkbSDz/80Cb7L4ZhKCMjg6ZM\nmUJ2dnbE5XKbaF+xYgWJRKJHHocNgtsBhgiC1Wo1paen08cff0x9+vQhW1tbsrW1peHDh9PatWsp\nJyeHGhsbSavVPnbA+yB0x3gSGIahuro6+uijj8jBwYGGDh1KWVlZT3RMQ1NaWkovvfQSOTk50Suv\nvEIFBQVPdB2fRhiGodLSUnrrrbfIzc2Npk2bRrdv327T1zE3N5fGjBlDlpaWtGjRIqqtrW3Tek0N\nwzAkEonovffe0/c/OTk5ppb1jxQWFtLs2bPJ2dmZFi5cSIWFhU99GzMMQ0VFRTR37lxyc3OjV199\nlfLz800t66EwDEPnzp2jfv36kYODA33++edPXfB7LwzD0MWLF6lfv35kZmbWJBjm8/nUr18/OnHi\nRJt5uCkoKKA5c+YQn88nDofTRK+3tzft27fvsbP5bBDcDmhpEMwwDGk0GpLL5SQWiykvL4+++eYb\nmjVrFgUGBpKTkxPFxsbS4sWL6eeffyaRSNTmO/O0tDQaMGAAOTg40CuvvEI3b94kuVxOjY2NJtWl\n1WqpoaGBSkpK6MMPPyRPT0+KjY2lo0ePmlxbe0er1dLJkyepf//+JBQK6e2336aSkhJqaGgweeZQ\nq9WSXC6nrKwsevPNN8nd3Z3i4uLo4sWLJtXVHrl06RL17duXnJyc6PXXX6dbt261Od9+7733yNPT\nk+Li4ujnn382uba2hkKhoIMHD1KvXr0oKCiIVq1aRcXFxaRQKEx+b2lsbCSZTEaXL1+mOXPm6LO/\n2dnZJtXVligvL6fXX3+dnJ2dm2RWAZCFhQX169ePdu/eTaWlpUbzTa1WSwqFgsRiMZ0+fZqef/55\n4vP591Wdsra2pjFjxtClS5eadV94VBDM+f8fMgq67XV1FBYW4v3330dMTAzeeOMNY8locyQlJWHV\nqlXIycl55Ge1Wi3kcjmkUinq6upw48YNpKam4vr16ygpKYGVlRXi4+PRv39/9O7dGz4+Pu1uVS/D\nMDhy5Ag2b96MsrIy9OvXD+PGjUN4eDgcHBxgZWVllHMiIigUCojFYuTl5eHYsWM4fvw4+Hw+5s2b\nh+eff/6p3uSltZHJZDh48CC2bt2KmpoajBgxAhMmTEBgYCDs7e1hZWVllIUcRISGhgZ99ZNjx47h\n7NmzcHJywssvv4zJkyfD3Nzc4Do6IgzD4ODBg9iyZQuqqqr0vh0WFqZvY2P79p07d3DkyBH8+uuv\nsLKywvz585GQkPBUL3B8FFVVVdi3bx++++47NDY2Yvjw4Zg4cSI8PT1hb29vtAV0RASZTAaRSIRb\nt27hwIEDuHTpEvz8/DB//nwMHDiwXS/mMwREhN9++w0rV65EVlYW6urqmuz6qqu5O3jwYIwYMQLh\n4eEQCAQQCASwtLR84r6PYRgoFAp9HFNYWIjk5GQcP34cN27cgEqlaqLF2toagYGBmD17NqZPn97s\nms5/jzvve58Ngk3PPwXBRIT6+nrU1dVBJBKhtLQUGRkZyM7ORnFxMRiGgZ+fH2JiYtCrVy9ERUV1\nGKeXy+U4ceIEDh8+jNzcXHh6eiI+Ph6xsbHw9PSEo6MjHBwcWrXUC8MwkEgkEIlEqKiowNWrV3H+\n/HncuXMHnp6eGDduHCZPngxbW9tWs8nSFKlUiqNHj+LQoUMoKCiAv78/4uPj0aNHD3h4eMDR0RF2\ndnat2u5arRZisVjf7leuXMH58+dRVFQEPz8/jB8/HiNHjoS9vX2r2XyakUqlOHHiBI4cOYLbt29D\nKBSiT58+iImJgaenJxwcHAzi22KxGHV1dSgvL0dGRgZSU1ORl5cHLy8vjB8/HhMnTmQfbJtBWVkZ\njh07hiNHjqCsrAwRERGIj49H9+7d4eLiAkdHR9jY2LRqO6rV6iZ99Pnz5/Hnn3+irKwMYWFhmDx5\nMvr378/20Y9AV9Lzhx9+QG5uLmpqaqDVau/7nJubG2JjY9GjRw+EhYXBw8MDtra2sLS0BJ/PB5/P\nh7m5OczMzPQPsEQErVaLxsZGqFQqqFQqKJVKyGQy1NbWIicnB+np6UhLS8Nff/0FtVp9n10bGxt0\n6dIFQ4YMwezZs5u1FfK9sEFwO+DvQbBSqURlZSVKS0tRXl6OGzduID8/H2KxGHK5HB4eHoiMjERU\nVBTCw8Ph4uLSLmv+PS4NDQ24evUqTp06hYyMDMhkMri4uMDT0xNhYWFwd3eHg4ODvsO1traGpaXl\nP26d2NjYCKVSCYVCgfr6en0AVFVVhezsbBQVFaGqqgo8Hg8REREYMGAA4uPj2eyQEVEqlUhNTcWZ\nM2dw7do1KJVKuLq6wsfHB8HBwfp2d3Bw0HfKj9PuCoUCDQ0N+tEU3c00KysLJSUlqKqqgqWlJaKi\nojBw4ED06NGDDYwMhFwuR0ZGBk6dOoWrV69CLpfDxcUFQqEQoaGh8PDwaNLGVlZWj+3b97ZxXV0d\nKisr9b5dXV0Nc3NzREZGYsCAAejdu3eH3MXQWMjlciQnJyMlJQU3b95EY2MjPD094evri4CAALi5\nuemTFrqMoqWl5T/etxobGyGXy/V9tEgkQl1dHUpKSpCbm4vS0lKUlZXB0dERsbGxGDhwIKKjozvk\nDneGgohQUlKCw4cP48yZM7h58yaKioqgUCge+Hkulwt7e3t07ty5yX1XIBDAwsJCXzpQq9VCpVKh\noaFBf2+tqalBYWEhysrKHhqUmpmZwcPDA8HBwejVqxfGjRuH2NjYJxodYoPgdkBSUhKWLVumz3zl\n5iwc7DIAACAASURBVOYiKysL1dXVaGxshJOTE4KDgxEWFoaQkBD4+fl1mGxvcyAiVFVVITMzE7du\n3UJeXh5KSkrA4XDA4/FgYWEBGxsb2Nvbw87ODgKBAGZmZk1qejY2NkKj0aChoQESiUT/T6VSobGx\nEQzDwN3dHf7+/ggJCUG3bt3g6enZoR8y2joMw6CiogLXrl1DVlYW8vLyUFFRAQD6drezs4OdnR1s\nbW1hbW0Nc3Nz8Hg8/fQJtVoNrVYLmUymf+iRSqX6dicieHp6Nml3Dw+PdlNHs71DRKisrGzi26Wl\npc3ybY1Gow+c6uvrIZFIIBaLoVar9W3s5uaGLl26NGlj1rdbD4ZhUFJSoh+t/Ouvv1BbWwsigrm5\nOSwsLPRtaGdnpx9e1z3UEJG+HWUyGcRiMerr61FfXw+1Wg2NRgMLCwt4eHggICAAISEh6N69Oxwc\nHEx85u0b3b31woUL+PPPP3Hz5k1kZWWhsLAQGo3GoLZ5PB5cXFwQHByMkJAQ9OjRA8888wwCAgJa\n5fhsENwOSEpKwsKFCzFy5Ejw+XzY2NjA09MTPj4+8Pf3h7+/P9zd3dkb8t9QqVQoLi5GaWkpKioq\nUF5ejtra2iadJoD7HIDD4cDc3Bw2NjawsbGBk5MT3N3d4eHhAQ8PD3h5ebGZvzaMXC5HaWnpfe0u\nlUohlUqhVqsf2Onp2t3W1ha2trZN2l3nbw/b4IXFuKhUKhQVFaGsrAzl5eWoqKhATU0N6uvr9W0M\nNM+3PT094eXlxY7mGAkiglQqRUlJib4dy8vLIRaLIZFIIJPJ9A8nRKSPD3RZPz6fD1tbW9jZ2cHR\n0VHfPwuFQgiFQjbjayBUKhUKCwtx69Yt5Obm4vbt27h9+zby8/NRVVUFpVL5RMfncrlwdnaGt7c3\nAgMDERQUhMDAQISEhCAoKEi/GVdr8agguNk7xnUUysrKcOrUKaSnp0OhUEAoFGL06NHo3r27SfRY\nW1tj4sSJ8PX1hZeXF1xcXDr8rkRPCp/PR0BAgP6JkWEY/RCMQqGAQqEAwzDQaDT6TtbMzAw8Hg98\nPl8/tGppadnuFg8+zVhbWyMoKAhBQUEA/m+Rk26ag1Kp1M9H03V+FhYW4HK5+H/t3Xdc09f6B/BP\nwkjCCHvJlr1kiOKuVHFLRW1dVav+WqvVW+1wdWqt4vVq26u19lpr1drWcesWatWKG6XgKFMUkL0D\nhABZz+8PL98r160kYZz368VLSQLnyfmS5Pme73POEQqFEIlEMDIyglAoZMe9jRIIBPDy8oKXlxeA\nh7+2m5Nh9tpue3g8HsRiMfz9/eHv7w/gv5Oimo9j85UYlUrFvUc315cKhUIYGRnByMgIAoGADQJp\niUAg4N5flUolysrKUFRUhLKyMlRUVKCoqAhFRUWoqKhAVVUVKisrWxxLANwOsgKBAObm5rCysuJO\nSJ2dnWFtbQ1ra2t06dIF9vb2Ot25r1MmwTk5Ofjqq6+wf/9+lJaWQqlUwtTUFAcOHMDnn3+OYcOG\naT0msViMl19+mb1hPwc+n8998DGdB4/H4z4sraysdB0OowHstd0x8Pl8GBsbs/rrdkJfXx9dunRB\nly5dALRc2aF5wKGxsZE7kWleZaL5pFRPTw8CgQAikQhCoRDGxsYwNTVtU3nOMyfBEokE//d//4fU\n1FTweDxs27YNXl5emDBhAvLy8uDm5oY9e/a0udnUjY2NiIuLw/bt2xESEoI1a9bAwcEBhw8fxrp1\n6/DJJ5+ge/fusLGx0XpsbekPg2EYhmEYpllHPIl55qzr7bffxogRI5Ceno7r16/D19cXsbGxiIqK\nQlZWFgYNGoTY2NjWjLVV5Ofn4/fff0eXLl3wzjvvYNy4cejfvz+WL1+OmJgYZGZm4ujRo7oOk2EY\nhmEYhtGgZ0qCa2pqcPbsWcycORPA3SFzMzMzHDp0CNOnTwcATJ8+HQcOHGi9SFtJWVkZbty4ge7d\nuyM0NBQGBgbc2c0bb7yBxsZGXLx4UddhMgzDMAzDMBr0TOUQOTk5sLGxwYwZM3Dt2jV0794dX375\nJUpLS2FnZwfg7gLLpaWl9/3sp59+yv3fz8/v2aJ+DlKpFCUlJXBwcLivfjAkJAQKhQK5ublaj0vT\n5s2bh6+//hqXLl1CRESErsNhGIZhGIZpVadPn8bp06ef+PHPlAQrlUokJydj48aN6NGjBxYsWHBf\n6QOPx3vgbM57k+C8vDwcPnz4WUJ4Zs0LqQuFwvuWWLGwsAARob6+XqsxMQzDMAzDMM9n4MCBGDhw\nIPf98uXLH/n4ZyqHcHJygpOTE3r06AEAGD9+PJKTk2Fvb88tYl9cXAxbW9tn+fUaxePxwOfzoVar\nW+yXDYBbFJotns4wDMMwDNOxPVMS3LzWW1ZWFgDgxIkTCAgIwOjRo7F9+3YAdzeAGDNmTOtF2koE\nAgHMzMwgkUgglUpb3Hfnzh3o6enB2tpaR9FpnkqlQkpKCvbt24e9e/fiypUrz734NcMwDMMwTHvz\nzEukbdiwAVOmTIFcLoeHhwe2bdsGlUqFV155BVu3buWWSGtrLCws4ObmhuzsbOTn57dYwu23336D\noaEht7B3R3TmzBmcOnUKFy5cABEhPDwcc+fOxdixY2FgYKDr8BiGYRiGYbTimZPg4OBgXLly5b7b\nT5w48VwBaVqXLl0QERGBffv24cCBA7CysoKFhQWSkpKwZcsWmJiYICoqStdhasyPP/6IXr164YUX\nXkB2djYOHDiAjRs3wsvLS2e75TEMwzAMw2hbp9sxztraGiNHjsTZs2exZcsWXL58GcbGxrh16xYy\nMjIwb948hIeH6zpMjenZsyeWLl0KFxcXFBQUgM/n49ChQzhz5gxLghmGYRiG6TQ63RZl+vr63OYY\nwcHBuHDhAg4ePAipVIqPP/4YixYt0uk+1poWHR0NV1dXGBgYwMXFBTExMaipqemQy8IxDMMwDMM8\nTKcbCQYAExMTDB8+HOHh4aitrYVKpYJQKIStrS3MzMx0HZ5G3btvN4/Hg6mpKVQqFeRyuY4jYxiG\nYRiG0Z5OmQQDd1eJcHJy0nUYWvfXX3+hb9++EAqFUCgUuH79OkQi0X0bhzAMwzAMw3Rkna4corOL\njY3FsWPHUFtbi/j4eKxatQr29vYICQnRdWgMwzAMwzBa02lHgtsaIoJcLoeBgcEDd9prLeHh4Xjj\njTdQXV0N4G55xEsvvYThw4drrE2GYRiGYZi2hiXBbYREIsGPP/6I0NBQWFtbQywWw8TEpNV2r3N0\ndERwcDA++eQTnDlzBgcOHAAADB8+HG+88UaHngzIMEzHolKpQEQtdv3k8/ng8/ng8XgaHUhgGKbj\n4BERaa0xHg/3NpeXl4cPPvgA4eHhWLBggbbCaHO2b9+OOXPmIDw8HGq1Gi4uLvD390dQUBCcnJxg\nbW0NW1tbiEQiXYfKMAyjFUqlEnV1daitrUVtbS0aGhrQ1NSExsZG1NfXQ6FQoKGhAcDdzxZDQ0MI\nhUIIhUKIRCIIBAKIRCKYmppCLBZDLBazDYEYppP537zzf7GR4DbC0dERe/fuxfXr15GcnIzr16/j\njz/+gEgkgo2NDYKCguDh4QEXFxe4uLjAwsKCW+WhsyMiNDQ0QCKRoLa2FjKZDA0NDWhsbIRKpYJC\noQBw98Wgp6cHfX19GBoawsjIiPuQtLCwgImJiY6fCfO06uvrUV1djbq6OjQ0NEAmk6GpqQlKpZIb\nLQQAAwMD8Pl8iEQi7kssFsPc3BxGRkZs5LANUKvVqKqqQlFREYqKilBQUICcnBzk5OQgLy8PZWVl\nkEgkqKmp4V7TD6Kvr88dW2tra7i6usLd3R3u7u5wdnZGly5d4OjoCEtLS+jrs49AhunMnvkdYPXq\n1fjxxx/B5/MRFBSEbdu2ob6+HhMmTEBeXh63bfK92xIzD8fn82FnZ4eoqChERUVBIpEgOzsb6enp\nSEtLw+XLlxEfHw+RSISuXbvC29sbXbt2hZeXF5ycnGBoaKjrp6BV1dXVyMvLQ05ODoqLi1FcXIzS\n0lLU1dVBrVaDiFp8Nbv3Umnz5VORSAQ7Ozs4ODjA3t4ebm5ucHNzg7W1NTvRaEOak6Tc3Fzk5uai\npKQExcXFKCkpgUwmg1qt5i6PP+i4N//bfNxNTExgZ2cHe3t7ODg4wM3NDe7u7rC0tNTJ8+uMmo9p\nRkYG0tLSkJqaioyMDNy8eRN5eXktyh2elFKpRFVVFaqqqnD79m1cvnwZwN3Xe5cuXeDt7Q1fX1/4\n+/sjICAAfn5+sLGxYa91humEnqkcIjc3Fy+++CLS09MhEAgwYcIEjBgxAqmpqbC2tsaiRYuwZs0a\nVFdXIzY29r+NsXKIB9q+fTtWrVqFzMzMB96vVCpRVFSEmzdvIjMzE9nZ2SgoKIBUKoWxsTG8vLzg\n5+fHvakLhUItPwPtqKysxI0bN/Dnn38iIyMDRUVF0NPTg0gkgrm5ORwdHWFlZQVTU1OYmJjA2NgY\nenp6EAgEAO4mRkqlkruMKpVKIZVKudGn8vJyNDU1QaVSwcrKCt7e3ggJCUFoaCjs7OzYh6QOqNVq\nVFZWIiUlBSkpKcjMzERFRQV4PB6EQiEsLS25425iYgITExMYGRnBwMAA+vr6XPLbfFxlMhl33Csr\nK1FYWIjq6mo0NDRAoVDAwcEB3t7e6N69O7p16wYbGxs2SqwBSqUSt2/fRkJCAhITE5GamorMzExI\nJJJHXrpsJhAIuNc+8N+JxXK5HAqF4rG/g8fjQSwWw9PTE/7+/oiIiMCAAQMQGBjIjjfDdCAaKYdo\nrq2SyWTQ09ODTCZDly5dsHr1aiQkJAAApk+fjoEDB7ZIgplno6+vz5VBREZGorq6GoWFhbhz5w7S\n09ORmZmJa9euQSqVwtnZGcHBwQgJCUFQUBDs7e11Hf5zUSgUyMzMxO+//47ExERIJBJYWlrC09MT\nkZGR6NKlC2xsbGBpaQlzc/NnqpuWy+WQSCSoqqpCRUUFd8KRlZWFs2fPQiQSISwsDFFRUQgLC2N1\nhVpAREhJScHx48eRlJQEqVQKW1tbeHp6IioqCo6OjrCxsYGFhQUsLCy4E52n0dTUhOrq6hbHPTMz\nEzdu3MAff/wBU1NThIeHY8iQIfD393+mNpj7ZWRk4Oeff8b58+eRkZGBkpISqFSq+x7H5/O5KzPu\n7u7cyY6FhQVMTU2hp6fHXQFrPsFVKpVciUxVVRUKCwu5KwcFBQUtrhTU1NTgzz//RHJyMo4fPw4f\nHx/06NEDEyZMQHh4OEuGGaYTeKYk2NLSEu+++y5cXFwgEokwdOhQREVFobS0FHZ2dgAAOzs7lJaW\n3vezn376Kfd/Pz+/Z4u6E+Pz+bCysoKVlRWCgoIQGRmJyspKVFRUIC8vD0lJSTh37hx+/vlniMVi\n+Pn5oW/fvujbty+cnZ3bTQ2cWq3GpUuXsHPnTly/fh1WVlbo378/wsLC4OzsDBsbG5ibm7fKB5Wh\noSFsbW1ha2vLtV1fX4/y8nIUFRXh6tWrOHPmDA4fPgxPT09MnDgRI0aMaLWVOzTp1KlTWL16Nd58\n802MGzdO1+E8llKpxMmTJ7Fr1y6kp6fD2dkZAwYMQGhoKJf43rvr4fMQCASwt7fnThSJCLW1tSgv\nL0dBQQF33A8ePIiAgABMnjwZffv27XSlR62luLgYW7duxcGDB3Hz5k3U1NTc9xhra2v07NkTYWFh\nCA4OhqOjIzexzdjYGEKhEAKB4JHvYyqVqsUEurq6OtTV1aGkpATXrl1DcnIykpKSUFRUxJXNlJaW\norS0FElJSTh16hSGDh2K1157DT4+PprsEoZhWtnp06dx+vTpJ378M5VD3Lp1C6NHj8bZs2dhZmaG\nl19+GePGjcP8+fO59WeBu8lyVVXVfxtj5RAP9LhyiCelVCohlUpRU1OD8vJypKSk4OLFi7h69Spk\nMhm6du2KPn36YNCgQYiIiGizl/czMjKwbt06JCQkwM/PDxMmTEDv3r1hbW0NY2NjrcbdPOmuqqoK\n165dw+7du5GQkIDw8HC8/fbb6N+/f5seMfrpp58wZcoUrFu3Du+8846uw3koIsKlS5ewceNGXLp0\nCeHh4Zg8eTJCQ0NhZWWl9clrRASZTIby8nIkJSVh9+7d+Ouvv9CrVy+8++67CAwM1Fos7Z1SqcSB\nAwewfv16pKWl3Zf8ikQi9OrVCzExMejXrx9sbW25cqbWPGlXqVSor6+HVCpFeXk5EhMTceDAAZw9\nexZSqZR7HI/Hg4mJCQICAjB79myMGzcOpqamrRYHwzDa87hyCNAz+OWXX2jWrFnc9zt27KC5c+eS\nr68vFRcXExFRUVER+fj4tPi5/20uNzeXpkyZQl988cWzhNFh/PDDD+Tt7d2qv1OtVlNTUxPV1dVR\nQUEBHT16lN577z0KCQkhS0tL8vX1pTlz5tD+/fupurr6udqSy+WtEnNdXR3FxsaSvb09vfjii3Tk\nyBGqqalptd//vJRKJdXV1VFSUhJNmDCBnJ2daeHChVRYWKjr0B6qsbGRysrKSCaT6TqUhyopKaEP\nP/yQ3N3dKSYmhs6ePUu1tbWkVCp1HRoRESkUCqqtraX4+HgaMWIEWVtb08cff0x1dXW6Dq3Ny8vL\no9mzZ5O1tTXx+XwCwH2JxWKaOHEinTx5kqqqqqipqYnUarVW4mp+f6ypqaGLFy/S66+/TsbGxi3i\n4/P5ZGZmRq+++iplZGRoJS6GYVrX49LcZ0qCr169SgEBASSTyUitVtO0adNo48aN9P7771NsbCwR\nEa1evZoWL178yGBYEnyXJpLgR8nMzKS///3vNHDgQBIIBGRpaUnR0dG0efNmysnJIaVS+VQfRkOG\nDKGffvrpmT/A1Go1XblyhV544QVycHCgH3744Zl+jzYpFAqKi4ujwMBACg0NpaNHj7aZpO1earWa\nVCqV1pKLp6FSqSghIYH69OlDvr6+tHfvXmpoaNB1WI+1e/dusre3p7CwMDp37lyb6Nvm43zvsdbl\ncVepVBQfH08hISEtEksAZGhoSK+++iqlpqbqJLaHKSwspPnz55NQKLwvZl9fX4qLi2szJ+QMwzwZ\njSTBRERr1qwhf39/CgwMpGnTppFcLqfKykoaNGgQeXl5UVRU1H0jjCwJfjBtJ8HN1Go1lZeX06+/\n/kozZswgHx8fcnBwoP79+9PHH39M58+fp5KSEqqpqaGmpqYH/o7s7GyysrIiHo9H06ZNo5ycnCf+\noFCr1SSVSmnHjh0UEhJCL7/8MmVlZbWJpOJJ5eXl0bx58yggIIC++uorqqioaFPx79q1iwDQunXr\ndB0KR61Wk0Qioa1bt1JQUBDNnDmTsrKydB3WUyksLKRXX32V/Pz86JtvvqHa2lqdHHe1Wk23bt2i\nt956i2xsbMjc3JymT59OiYmJBIDGjRun9ZhkMhnt3r2bPD09WySSRkZG1L17dzpx4oTWY3pSzSfk\nw4YNIxMTE+LxeFz8lpaW9OOPP7bpqyoMw7SksST4WbAk+MF0lQT/r5qaGjp79iytWrWKhgwZQt7e\n3hQWFkZvvvkm7dixg65evUq5ubkkkUi4Uc8tW7aQmZkZASADAwMKCAigPXv2UGVl5SOTArVaTWVl\nZbRmzRrq0aMHrVq1iioqKrT1VFtVbW0tffvttxQeHk4ffPAB5eXltZlEuC0mwSUlJfT5559TSEgI\nrVu37rnLcXSltraWvvzyS+rRowd99NFHVFRURCqVSqsxlJaW0rRp08jIyIhcXV2pW7du5OXlRS+8\n8IJOkuD6+nrauXMnubq6csmjnp4eOTs704oVK9pNCUl1dTV9+eWX5OPjQwYGBtxzMTExoS1btlB9\nfb2uQ2QY5gk8LgluE0sFFBYWIiUlRddh6MydO3d0HQKAu0vf9evXD/369cN7772HzMxMXLlyBZcv\nX8a//vUvKBQKODo6IigoCOHh4XBxcUF8fDy3dalCoUBaWhrmz5+PGTNmYOrUqfD09LxvNj39Zzb2\nli1bcPLkSfztb3/D2LFjYWRkpIun/dxMTU0xa9YsODg44IsvvkB9fT0WLFgAV1dXXYfW5pSWlmL9\n+vU4e/Ysli5dinHjxrWLVTYexNTUFLNnz4aLiwu+/vpryOVyzJ07F87OzlqbxHfu3DlcuHABAQEB\nWLlyJfr06YPs7GwsXLhQK+3fSy6X4+DBg1iyZAkKCwsB3F2BIywsDIsWLcLw4cPbzTJz5ubmePPN\nN+Hj44N169bh4sWL3KS6+fPnQ6lUYtq0ae32PYthmLt0mgTr6+vD2toaiYmJyM3N1WUoOlVZWQlH\nR0ddh9GCgYEBAgMDERgYiOnTpyMvLw8pKSm4evUqMjMzkZKSAqFQiISEBMjlcu7niAhlZWXYsGED\nUlNTMXPmTERGRsLMzIx7TE1NDbZt24aTJ09i7ty5iI6ObvcbfOjp6WHUqFEQiUT4/PPPsW7dOnz0\n0UewsbHRdWhtRkVFBdasWYMLFy7g448/xvDhw9v0yhpPQigUYuTIkTAwMMCGDRuwZcsWvPXWW7Cz\ns9PKc7t16xaKioowb9489OvXD0ZGRggODsaCBQueapmg1nDixAl89NFHXAJsbGyMyMhILF26FD17\n9mw3yzM2EwgEGDp0KKysrLB+/XocPXoUdXV1aGxsxLJlyyAUCjFlyhS2bjjDtGM6fVcyNzfHK6+8\ngh49eugyjDZBLBbrOoSH4vP5cHd3h7u7O2JiYlBbW4vbt2/jhx9+eOAi9/Sf5aWOHDmC7OxsTJo0\nCVOnToWrqyvUajV27dqFo0eP4q233sKYMWM6zLqrPB4PgwcPBp/PxwcffIC1a9fik08+gbGxsa5D\n0zmZTIYNGzbgxIkTWLt2LYYOHarrkFqNoaEhhg4dCqVSiY0bN8LMzAxz5szRynGXyWRoamqCo6Mj\nN8rK4/Hg7u6u8bbvlZmZiWXLluHWrVsAACMjIwwbNgxLly5FSEhIux3t5/F46NGjBz788EMYGhpi\n3759kMlkkEgkWLVqFRwdHREVFaXrMBmGeUY6TYKNjY3Rp08f9OnTR5dhME+Bx+PBzMwMoaGhOHDg\nwEPX32u+PSMjA1988QVSU1Mxa9YsGBgY4LvvvsPs2bM7VAJ8r8jISHz00Ud466234OHhgdmzZ+s6\nJJ0iIuzduxf79u3D559/jiFDhug6pFZnYGCAYcOGoaamBps3b4avry9Gjhyp8dFgkUgEgUCAkpIS\nyOVyiEQiEBHy8/M12u69pFIpPvvsM1y7dg3A3ZOC/v37Y9GiRQgNDW2z65E/jYCAACxZsgS1tbU4\ncuQIlEolcnNz8c9//hPu7u7w9PTUdYgMwzyD9v/uxOiETCbDtWvXUFdX98jHEREkEgn27t2L999/\nH0uWLEFoaCgmTZr0TFsctwc8Hg9Dhw7FggULsHHjRiQmJuo6JJ1KSUnBv/71L0ydOhWjR49u9yUQ\nDyMUChETE4PevXvjH//4xwN3zGxt7u7usLe3x+7du5GYmAiZTIb09HRs2rRJ420327t3Lw4ePAjg\n7t++n58fFi1ahLCwsA6RADfz8/PDp59+ioCAAAB350CcP38eP/30ExQKhY6jYxjmWbSvIi2mzbh5\n8yYKCgrA4/Ggr68PlUr1wFFhgUAAY2NjmJmZIT8/HwqFAuPHj9fKpWK5XI5jx44hPj4e+fn5EIlE\n6NevH8aMGQM3NzeNtq2np4fXXnsNZ86cwaZNmxASEtJuJgW1pqamJmzfvh12dnaYMmWKRi+LJyQk\nYMWKFQ+939HRETt27NBY+8DdsqYFCxZg7Nix2LRp0yPjaQ19+vRBREQEDh06hLfeegvW1taQSqUQ\niUTg8XgaT0KLioqwefNm1NfXAwAsLCwwa9Ys9OvXT2M1wLW1tYiLi0NCQgIKCgqgVCrh7OyMF198\nEcOGDWsx/6C1devWDatWrcK4cePQ2NgIiUSC+Ph4DB06FBERERprl2EYzWBJMPNMGhoa8MILLyAi\nIgJisRhisRhmZmbcv83/FwgE4PP5yM/Px4QJE7B69WpMnDhR4zWCNTU1+OSTT/Drr7+ivLwccrkc\nfD4ff/zxB/Lz87Fu3TqNtg8AZmZmWLhwIebOnYsTJ05g5MiRGm+zrTl37hyuXLmCpUuXwsHBQaNt\nlZWV4dSpUw+8j8/nY8yYMRptv5mzszPmz5+P9957D6+99hq6du2qsbYcHBy4SVoHDx5EQUEBhg8f\njpiYGCQmJmp89YI9e/YgKysLRAQ+n4+wsDBMmzZNY2VOhYWF+OijjxAfHw+JRAK5XA4igqGhIY4c\nOYLExEQsWbIEtra2Gmm/ue5/+vTp+Pbbb0FEuH79OuLj49G9e/d2N/mPYTo9DS7Pdh8tN8dokEKh\nIJlMRvX19dTQ0ECNjY3U1NRECoWClErlfeulfv755xQaGvrQTTdak0qlohUrVpClpSW5uLjQDz/8\nQDk5OZSRkUFr166lzz77TOMxNKuurqbXX3+dZs2apZMd5RobG6miokInO7EplUpatGgRTZ8+nQoK\nCjTeXlNTE1VUVNz3NWTIEDI0NKSffvpJ4zHcG0tQUBB9+OGHGm9LpVJRfX09VVVVUWVlJdXW1tKq\nVatILBZrtP36+noaMmQItx2ykZERHT16VGPtERF98cUXZGNjQ35+fvTTTz9Rbm4u3bx5kzZv3kxd\nu3YlJycn2rFjh0ZjILq7SY6lpSW3fvCoUaPY1soM0wY9Lu9kp63MM9HX13/iUQ+ZTIZff/0VkydP\n1spEuGvXriEuLg5qtRr//ve/0b17d64O1cfHR+Pt38vU1BRjxozhJg6FhYVptX2BQNAqZRiNjY2o\nrq6Gra0t+Hz+E9X1ZmRk4Nq1a3j11Vc1NjJ3L0NDQ1hZWbW4rbCwEImJiRCLxYiOjtZ4DPfGMnv2\nbKxduxZLlizRaPnP119/DVNTUwwZMgRqtRqHDh3CqlWrYGtri759+z7x75FKpZDL5TAxMYGBB8qo\nMwAAIABJREFUgcFjj/HFixeRk5MDtVoN4O5ra/jw4c/1XB7n1q1bqKysxNatWzFixAjuipKLiwv0\n9fUxe/ZsrUwKdHBwwCuvvILNmzcDAG7cuIEbN25o/f2FYZjn88iCsZkzZ8LOzg5BQUHcbVVVVYiK\nioK3tzeGDBkCiUTC3bd69Wp4eXnB19cXx48f11zUTLty5coVSCQSrV2OTkpKQl5eHiZMmAAHBweU\nlpaisLAQpaWlkEqlD13RQhP09PTg4eEBKysrJCcna63d1kREuHHjBvz8/DBhwgTs27cPeXl5qKur\ne+ASec3S0tJgaGgILy8vna2lumfPHjQ2NuKVV17R+lJ1EyZMQH19Pc6fP6/Rdm7duoV58+bB1dUV\nLi4uePvttyEUCjF69GgMHjz4iX9PVlYWJk+ejEGDBmHDhg3IyspCdXV1i3XA75WcnIyqqiru+xkz\nZmh80qOdnR1MTExQU1ODxsZGEBHUajVkMhnq6upgYWEBa2trjcYA3B0EGD9+PJeEFxQUIDs7G0ql\nUuNtMwzTeh45lDdjxgzMnz8f06ZN426LjY1FVFQUFi1ahDVr1iA2NhaxsbFIS0vD7t27kZaWhsLC\nQgwePBhZWVkdanYw82yuXbsGV1dXrW0ckZ+fj6qqKnTt2hXffPMNdu7ciZKSEri4uCAmJgYzZ86E\nt7e31v42zczM4OzsjJs3b0KtVrfb10RNTQ1+/fVX7N+/H25ubhg+fDiGDx8ODw8P2NjYwMLCgntu\narUaubm5sLCw0NmGIY2NjTh8+DAAtHgP0xZra2v4+PggKSlJo8vCzZs3D7a2tkhMTER5eTns7Oww\nevRoTJo06alrVJVKJS5duoTz58/D2NgYw4cPx+jRoxESEgJra2tYWFhAKBRCpVIhIyMDNTU1AO7W\nXGt6FBgARo4ciUuXLmH9+vWoqqpCaGgoF/Mvv/yCIUOGYMCAARqPg8fjwdvbG+7u7sjOzoZKpcLt\n27dRXl6u8dp3hmFazyPfIfv373/fTm6HDh1CQkICAGD69OkYOHAgYmNjcfDgQUyaNAkGBgZwc3OD\np6cnLl++jF69emkseKZ9yM7Ohqenp9YmjchkMsjlchw9ehRNTU3w8fGBt7c3SkpK8M033+DOnTuI\njY3V+AoRzYyNjeHi4oL09HTU1dVpdPa6phERiAg5OTn45ptvsGnTJvj5+WHo0KEYMGAA3NzcuEvT\nxcXFsLe3h4WFhU5iTUxMxM2bN+Hn56ezDXm6deuGtLQ0jbbh6emJZcuWtcrv4vF4UKvVICJIpVLs\n378f+/btg52dHYYMGYL+/fsjKCgIpqamKC4u5kY+ra2tNToBsFlISAjmz5+PlStX4t133+XaFwgE\niIyMxJw5c+Dr66vxOIC7S+IFBAQgOzsbwN2VMiQSCUuCGaYdeeqspLS0FHZ2dgDuXppqXguzqKio\nRcLr5OTEbZ95r08//ZT7/8CBAzFw4MCnDYFpZyoqKtC1a1et7RrVXLMqEomwfPlyhIeHg4hw6dIl\nrF69GufPn0dCQoLWkmCBQAA7OzucPn0a165d414/7QURIS8v777bmstKMjMzubVpu3fvjhdeeAFe\nXl64ffs2evfurZP1oNVqNY4dO4bq6mq88847Oht9d3R0xI0bN5CZmamT9p9GXl4eZDJZi9uak8zS\n0lLs2rULv/zyCzw9PREaGsolfwDQtWtXrfTxnTt38Pvvv6OiogKRkZGws7ODWq1GcXExCgoKcPLk\nSXh4eGglETUwMICzszP3fW1tLRoaGjTeLsMwD3f69Omn2jL+uYbmeDzeI2vAHnTfvUkw0znU19fD\nyMhIa5skmJqaQigUYtq0aejbty9XjzpgwADk5+djzpw59yV1mqSvrw9jY2Ncv34dK1eubJfbKFdX\nVz/0vua64KamJly8eBGJiYmwsrICESEgIABNTU0QCoXaChXA3ZPyS5cuQSQSYdSoUVpt+15isRgZ\nGRlYsmSJzmJ4UjU1Nbh9+/YD7yMiqFQqqFQqpKWl3Te6ra2/6aNHj2LXrl0YN24c5s6dCw8PD6hU\nKqSnp+Orr77Ctm3b4OPjg4kTJ2o8Fj09PZiamnLfNzQ0PLR+mmEY7fjfwdXly5c/8vFPnQTb2dmh\npKQE9vb2KC4u5mZ9Ozo6tpiVW1BQAEdHx6f99UwHpKen98gJVK2tS5cuMDc352at30utVmtlE4F7\nERGUSiU3W9/c3FxrbbeWO3fucGVQD6Onpwcejwc3NzeEhITg1q1bWp2EeK9z584hLy8PkZGROn0f\nUigUsLS0bBdXvAoKClBcXIyysrKHPqZ54MPS0hKNjY2QSqUAoLUJYdnZ2aisrMTQoUPh4+PDXV0K\nDAzEgAEDsGfPHty5c0crsTS/rpvp6em123p/humsnjoJjo6Oxvbt27F48WJs376dm/EfHR2NyZMn\n45133kFhYSFu3ryJnj17tnrATPtjZmaGurq6ByalmhAcHAwnJyd8//33sLe3R0REBIgI58+fx/bt\n22Fvb6+V+sVmCoUCtbW18PX1xZtvvtkuyyGSkpKwfv36++7j8/lQq9UQi8VcXXBAQAAsLCzw9ddf\nw8jISOsrQzQ2NuLs2bMoKyvD+PHjdbpTn0Qigbe3N95++22dxfCkkpOTcfXqVWRlZd13n56eHoRC\nIXr27InIyEi4uLhg8+bNuHTpEoBHXyloTebm5hAKhfjpp5/QpUsX+Pv7Q6VSITk5GQcPHoSRkVGL\n0VlNUqlULZ63sbFxp9wVkmHas0cmwZMmTUJCQgIqKirg7OyMFStWYMmSJXjllVewdetWuLm5Yc+e\nPQAAf39/vPLKK/D394e+vj42bdqktcvfTNvm5OSE27dva200ODAwEC+99BI2bNiAefPmwdraGkSE\niooKlJSUYPz48YiMjNRKLMDdy6SFhYWwsLBol6PA/6v5dS0QCNC3b18MGzYMERERcHZ2hp2dHUQi\nEeRyOezt7VFaWoq6ujqN71x2r/T0dNy4cQPu7u4IDQ3VWi36g2RnZ2ut9ry1NV/B8fLyQkxMDPr3\n7w8vLy/Y29uDz+fj8OHD4PF4ICLcvn0bDQ0NGq//HjZsGI4dO4YjR44gNTUVZmZmICJUVVXhzp07\n6NevH/r166fRGJo1NTXh1q1b3PeWlpbtstSJYTqzRybBP//88wNvP3HixANvX7ZsWavNUmY6Dn9/\nfxw7dgwKhUIr7QmFQsydOxcODg74/vvvkZycDKVSCS8vLyxatAjTpk2Dvb29VmIB7m5CUFhYCB8f\nn3Y/UsTj8eDs7IyRI0dizJgx8Pf3h4WFxX0f/oaGhtzJT1VVlVZHvxMTE5GZmYkpU6ZoZc3YR0lO\nTsaiRYt0GsPTUKlUUKvVMDExQVRUFMaPH48+ffrAwsICJiYm3AkFEcHV1RUikQgymQxSqRRXr15F\n7969NRpfaGgoNm7ciO+++w7Hjx9HRkYG+Hw+3NzcMHv2bLz22mvw8/PTaAzNZDIZbty4wX3v6uqq\n8783hmGeDtsxjtG4kJAQ1NbWIi0t7al2sHoeZmZmmDJlCsaPH8/V7enp6cHQ0BCGhoZavUpRXV2N\nvLw8re5Y1tqMjIwwevRoTJkyBQMGDIC5uTkEAsEjayDd3d2xf/9+lJaWai0xAe6ubz5x4kQIBAKt\nT8i7140bN1BeXt5uysIMDQ3Ro0cPjB49GtHR0bC3t4dAIHjg0oY8Hg8+Pj4Qi8XcihJ79+7VeBJs\nYGCAsLAwfPHFF1AoFFCpVFyNf/NrWxt1uSqVCmfPnkVlZSUAQCQSwc3NrV0vf8gwnRFLghmN8/Pz\nQ3BwMHbu3Km1JBi4+4Gpq53KmjU1NeH8+fMwMDDQ6nNvTTweDwEBATh06NBT/VxoaCjMzc1x8eJF\ndO/eXWu1mq21VfTz+vbbbxESEoLAwEBdh/JEAgMDsWbNmid+fO/evbmJ0gCwe/duLF++XOPHmc/n\nQyQS6WTpvWYKhQK7du3iJn56e3vDz8+PlQAyTDvDprIyWjF27FjExcWhqKhI16FoVVVVFeLi4hAR\nEcGtpNJZ2NjYoEePHrh48SIKCwt1tlKELhQXF2Pfvn2YOnWqrkPRmMDAQISFhXEnHJWVldi0aZPW\nJsDqUkJCAlcWyOfzERYWhuDgYB1HxTDM02JJMKMVY8aMgZOTE5YvX95p1tIkIhw+fBiFhYWYMGGC\nrsPRiVGjRkEqlSIuLg5NTU26DkcrFAoF/vGPf8De3r5DH3cej4eYmBiuDlYul2Pnzp0tNtHoiKqq\nqrBy5UrupM7e3h59+/Zl9cAM0w6xJJjRCiMjI7z//vs4dOgQTp8+3SlGBW/duoUtW7YgJiYGAQEB\nug5HJ3x8fBAdHY29e/ciNTVV1+FoHBHhwoULOHLkCJYtW6bTS/ba0Lwsnp6eHrdKxNq1a7la2Y6m\nsbERX331Fc6dOwfg7kY4vXr1wtChQ3UcGcMwz4IlwYzWjBw5EtHR0Vi5cuUD1yLtSKqqqvDxxx/D\nysoKM2bM0HU4OjVhwgQ4OTl16OSo2a1bt7B27Vr069evXU+EfFKGhoaYP38+t31wQ0MDjh07hl27\ndqGmpkbH0bUuuVyOX3/9FRs3bgTw35VSXn75ZTg5Oek4OoZhngVLghmtMTAwwLJly2BsbIx169a1\n2GGwI5FKpdi4cSOuXLmCDz/8sNPvnOjg4IB33nkHWVlZWLt2Lerq6nQdkkYUFRXh66+/hlqtxsKF\nC3W6MoU29erVCwsXLoShoSGAu/XQmzZtwuHDh7mVI9o7lUqF+Ph4fPbZZ9wGGUZGRhg/fjxGjhyp\n4+gYhnlWLAlmtMrFxQXvv/8+bt++jc2bNz9yi9b2qKGhAVu3bsW+ffuwYsUK9OnTR9chtQk9e/bE\nBx98wI2kNTQ06DqkVlVZWYkffvgBqampmDNnDry9vXUdktbweDy89tprePXVV7nNM27evIn169fj\n4MGD3NbK7ZVcLsfhw4exatUqZGdng4jA5/MxcOBAvPnmm1pb9YRhmNbHlkhjtIrH46Ffv3546623\nsGHDBujp6WHOnDlwcHDQdWjPTSqVYsuWLdi1axf+9re/Yfz48VpZs7Q94PP5iI6Ohlwux+rVq6FS\nqfD22293iASivLwcW7duxcmTJ/Haa69h0KBB3KhoZyEWi7F06VJUV1dj//79UKvVuHbtGj777DPU\n1NRg8uTJEIvFug7zqUmlUvz666/48ssv8ddff3FrjoeGhmLFihVa3X6dYRgNoEeYMWMG2draUmBg\nIHfbe++9R76+vtStWzeKiYkhiUTC3bdq1Sry9PQkHx8f+u233+77fY9pjulE6uvrad++fTR48GBa\nsGAB5ebm6jqk51JeXk6fffYZ9erVi7Zt20Z1dXW6DqlNamxspD179lB4eDgtXryYSkpKdB3Scyku\nLqZly5ZRZGQk7dixg2pra3Udks6oVCpKTk6mqKgoAkAAiMfjkaOjI7377rtUXl6u6xCfSklJCa1c\nuZLc3d1JT0+Pe06+vr6UmJhIarVa1yEyDPMYj8s7H3nvmTNnKDk5uUUSfPz4cVKpVEREtHjxYlq8\neDEREaWmplJwcDDJ5XLKyckhDw8P7nFPGgzTuTQ2NlJ8fDxFRUXRqFGjKCkpiZRKpa7Demrp6ek0\nffp0ioiIoD179pBUKtV1SG1aQ0MDHTt2jHr37k0vv/wypaSk6Dqkp6ZWqykjI4PGjh1L/fv3p/37\n95NMJtN1WDqnVCopOTmZXnrpJeLxeFziaGJiQgMHDqRz587pOsTHUiqVlJSURGPHjiUzM7MWz6NH\njx6UkpJy32cbwzBt0+Pyzkdeq+3fvz8sLCxa3BYVFcVd4o2IiEBBQQEA4ODBg5g0aRIMDAzg5uYG\nT09PXL58uRXHrJmORiAQYPDgwfjyyy9hZGSEiRMn4rvvvoNCodB1aE+ksbER+/fvx5QpU1BcXIz1\n69cjJiYGxsbGug6tTRMKhRgyZAi++eYbyOVyTJ06FTt37kR9fb2uQ3tiu3btwqhRoyCTybBhwwaM\nHj26wy+H9iT09PQQHByMNWvWYPLkydyOjVKpFGfOnMHQoUMxf/78NrtpTl1dHT7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gAAAA\npklEQVQFBQXR3//+dyIi1s8advr0aW51CNbXre/27dsUHBxMwcHBFBAQwH32sb5ufVevXqXw8HDq\n1q0bxcTEkEQiYf2sIVKplKysrKi2tpa7rT32NY/oIQVhDMMwDMMwDNNBsR3jGIZhGIZhmE6HJcEM\nwzAMwzBMp8OSYIZhGIZhGKbTYUkwwzAMwzAM0+mwJJhhGIZhGIbpdFgSzDAMwzAMw3Q6/w8sv84K\nC9YkBgAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12,4)\n", "a = FST()\n", "a.AddString(\"small\")\n", "a.AddString(\"big\")\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 22, "id": "ff0a7791", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nMZlMREREBJUn1OPx4HQ6OXv2LDdv3iQ2NpY9e/ZIMboriE6no7CwEL/fz9DQ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\nRK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = FST()\n", "b.AddString(\"cat\")\n", "show_fst(b)" ] }, { "cell_type": "code", "execution_count": 23, "id": "9b3017de", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8eTJ+/vlnAMCBAwfQq1cvAO9Oh+AdBI8YMQIdOnTA6NGjUVZWBolEgkWLFqF+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\n1Vr8tyUiWF5ehmmaWFtb8+uWZSGZTAIAksmk3xx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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "openfst.ConcatOnto(a,b)\n", "show_fst(a)" ] }, { "cell_type": "markdown", "id": "07099f44", "metadata": {}, "source": [ "Note the use of the epsilon symbol on arcs connecting the first and the second transducer.\n", "\n", "The epsilon symbol on a transducer consumes no input and produces no output.\n", "It just connects two states." ] }, { "cell_type": "code", "execution_count": 24, "id": "9bd635eb", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nMZlMREREBJUn1OPx4HQ6OXv2LDdv3iQ2NpY9e/ZIMboriE6no7CwEL/fz9DQ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\nRK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"cat\")\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 25, "id": "54d6e7d2", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hwoXDZmHanSSXy3nsscc4cuQIH3/8MUqlkqSkpCGbFNwNxcXF7N69G4PBwOjR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\ncNvPYWFhXL58ebRPI4yi1tZWNBoNABqNhtbWVgCam5uHLEss2tL56uv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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "openfst.ClosureStar(a)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 26, "id": "55581040", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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bjUqlQqFQhDocgWuju2q1GovFwtmzZ1lYWAh1SCHj9/sZGRlhfn7+S5/76Z30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\nB1aAf3oHRyFwAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"cat\")\n", "openfst.ClosurePlus(a)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 27, "id": "8fa5eb4c", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TWVlJZ2en0+YFCMOLSIKFIUGj0eDu7j7gkpeBTKVSER4eTktLC83NzY5hyaGg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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"cat\")\n", "b = FST()\n", "b.AddString(\"dog\")\n", "openfst.Union(a,b)\n", "show_fst(a)" ] }, { "cell_type": "markdown", "id": "a5af9dfd", "metadata": {}, "source": [ "# Weights" ] }, { "cell_type": "markdown", "id": "5d9e328b", "metadata": {}, "source": [ "The weights in these computations are usually floating numbers, but with a pair of operations forming a \"tropical semiring\"." ] }, { "cell_type": "code", "execution_count": 28, "id": "88bc6e09", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "inf\n", "0.0\n" ] } ], "source": [ "w = openfst.Weight_Zero()\n", "print w.Value()\n", "w = openfst.Weight_One()\n", "print w.Value()" ] }, { "cell_type": "markdown", "id": "f08676d9", "metadata": {}, "source": [ "The operations are those used for combining paths when they merge and for combining weights along a path.\n", "\n", "Common choices are (addition / multiplication / zero / one)\n", "\n", "- boolean: OR / AND / FALSE / TRUE (possibilities)\n", "- real: $+$ / $*$ / 0 / 1 (probabilities)\n", "- log: $-\\log(e^x+e^y)$ / $+$ / inf / 0 (log probabilities, costs)\n", "- tropical: $\\min$ / $+$ / inf / 0 (log probabilities, Viterbi)\n", "\n", "Remember that these operations reduce to computations on conditional probabilities,\n", "either computing the maximum probability (minimum cost) to reach a node (Viterbi algorithm), \n", "or the total probability for reaching a node (forward algorithm).\n", "\n" ] }, { "cell_type": "markdown", "id": "f39321f0", "metadata": {}, "source": [ "# Infinite Sets of Strings and Sampling" ] }, { "cell_type": "markdown", "id": "3a45515b", "metadata": {}, "source": [ "Let's construct a transducer corresponding to \"(cat|dog)+(ant|elk)+\"." ] }, { "cell_type": "code", "execution_count": 29, "id": "678f416a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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gwYNb7PiWlZXh9OnTOH/+PCwtLREWFob+/fsz2kd6ejr+/vtv3Lp1C3l5eejc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\nd5OdGb5x4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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"cat\")\n", "a.AddString(\"dog\")\n", "openfst.ClosurePlus(a)\n", "b = FST()\n", "b.AddString(\"ant\")\n", "b.AddString(\"elk\")\n", "openfst.ClosurePlus(b)\n", "openfst.ConcatOnto(a,b)\n", "show_fst(a)" ] }, { "cell_type": "markdown", "id": "0bf799d4", "metadata": {}, "source": [ "As we said above, finite state transducers are collections of strings.\n", "We can pick a random sample from this collection with the `RandGen` function." ] }, { "cell_type": "code", "execution_count": 30, "id": "395f293a", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "catant\n" ] } ], "source": [ "out = FST()\n", "openfst.RandGen(a,out)\n", "print openfst.GetString(out)" ] }, { "cell_type": "markdown", "id": "f6793fbf", "metadata": {}, "source": [ "Written like that, the sampling algorithm makes a uniformly random choice at each node.\n", "\n", "Since weights usually represent log probabilities, we may want to sample according to those.\n", "To do that, use `RandGen` and the `LogProbArcSelector`." ] }, { "cell_type": "markdown", "id": "d56146c5", "metadata": {}, "source": [ "# Epsilon Removal" ] }, { "cell_type": "code", "execution_count": 31, "id": "ac740f9a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TWVlJZ2en0+YFCMOLSIKFIUGj0eDu7j7gkpeBTKVSER4eTktLC83NzY5hyaGg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j4KCwuxZMkSZGZm0s4hYYYxBpPJhI8//hhDQ0P45z//ia6uLly5cuX/9rwGBXuKhUIh4uLiEB0d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\nkAWHkmBCCCGEELLgUBJMCCGEEEIWnP8AwzS99ESV+jIAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"cat\")\n", "b = FST()\n", "b.AddString(\"dog\")\n", "openfst.Union(a,b)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 32, "id": "fc7d6202", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6+r4waxoXFxfRfq4ajYba2lquX7/OwYMHeeutt1i1ahUGgyHivMWVSiUVFRV0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\nXFzM888/D8A3v/lNt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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "openfst.RmEpsilon(a)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 33, "id": "163bc123", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hwoXDZmHanSSXy3nsscc4cuQIH3/8MUqlkqSkpCGbFNwNxcXF7N69G4PBwOjR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\n62FmbD/BAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"cat\")\n", "openfst.ClosureStar(a)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 34, "id": "12230f19", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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CIAgLjNVqZXJyksnJSanvrifB1Gg0KJVK+vv7sdvtqNVqIiMj5yQR9nSnqK+v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\n8/jjj7N3714+/vhjli5dyurVq++YDAzRRnt7O4cOHeLw4cMsW7aMhx5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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "openfst.RmEpsilon(a)\n", "show_fst(a)" ] }, { "cell_type": "markdown", "id": "389b8236", "metadata": {}, "source": [ "Note that `RmEpsilon` removes transitions that have epsilon on both the input and the output.\n", "It gets more complicated when there are epsilons only on inputs or only on outputs." ] }, { "cell_type": "code", "execution_count": 35, "id": "618a38a9", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yZcsEyXRxccG6devUzgKiCV7V3latWoXVq1fDyMgIVlZWGvFZiouLcf36dfTv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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddTranslation(\"cat\",\"katze\")\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 36, "id": "834c0f80", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yZcsEyXRxccG6devUzgKiCV7V3latWoXVq1fDyMgIVlZWGvFZiouLcf36dfTv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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = a.Copy()\n", "openfst.RmEpsilon(out)\n", "show_fst(out)" ] }, { "cell_type": "code", "execution_count": 37, "id": "7d25d376", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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aUnBw8ENxo+ik9Fi7p+3BzcHBQSH61tfX0+zZs+nDDz9UWknJ8vJymjx5slLH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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = FST()\n", "openfst.EpsNormOutput(a,out)\n", "show_fst(out)" ] }, { "cell_type": "markdown", "id": "dd5c5e4b", "metadata": {}, "source": [ "# Determinization and Minimization" ] }, { "cell_type": "markdown", "id": "99a36610", "metadata": {}, "source": [ "What makes finite state transducers so powerful is a number of operations that\n", "work generically on even very large and complex transducers.\n", "\n", "Foremost among these are determinization and minimization." ] }, { "cell_type": "markdown", "id": "a10de80e", "metadata": {}, "source": [ "## Unweighted, Acyclic" ] }, { "cell_type": "code", "execution_count": 38, "id": "228fa0be", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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oNBrt/isxMRFfffUVvL29ERgYyNooYFBQEDZs2KB9HBERgV69euHgwYOsFsEO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\nx4oVK+Dq6nrP7WE0Gi36R3d3N+rr69HY2IirV68iP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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "fst = FST()\n", "fst.AddString(\"woolly\")\n", "fst.AddString(\"world\")\n", "fst.AddString(\"worm\")\n", "fst.AddString(\"wholly\")\n", "show_fst(fst)" ] }, { "cell_type": "markdown", "id": "84f32c73", "metadata": {}, "source": [ "The above machine is *non-deterministic*: starting in node 0, there are multiple arcs we can take, all labeled the same." ] }, { "cell_type": "code", "execution_count": 39, "id": "f03e2822", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YLEZCQgK++uorVpb/KgwNDdGhQwf4+/ujf//+6Nu373MvrnJycoJQKER5eXmj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\nSUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfst = FST()\n", "openfst.Determinize(fst,dfst)\n", "show_fst(dfst)" ] }, { "cell_type": "code", "execution_count": 40, "id": "8ef93496", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LFdJrGhQUhO3bt2Px4sXYuXMntLW1weVy8fjxY0ycOFGhZ8Vu374NLy8vhbXP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\nNjZm1qxZJCYmIpPJcHR0pFevXixatEgr7RWTy+VER0fz008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jiSBYEKq5nJwc/vjjD+bO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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "openfst.Minimize(dfst)\n", "show_fst(dfst)" ] }, { "cell_type": "code", "execution_count": 41, "id": "c25c3ad3", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(22, 21)\n", "(10, 12)\n" ] } ], "source": [ "def fstsize(fst):\n", " edges = 0\n", " for s in range(fst.NumStates()):\n", " edges += fst.NumArcs(s)\n", " return fst.NumStates(),edges\n", "print fstsize(fst)\n", "print fstsize(dfst)" ] }, { "cell_type": "code", "execution_count": 42, "id": "5d6e28a5", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def minimize(fst):\n", " dfst = FST()\n", " openfst.Determinize(fst,dfst)\n", " openfst.Minimize(dfst)\n", " return dfst" ] }, { "cell_type": "markdown", "id": "d40c9cb4", "metadata": {}, "source": [ "## Weighted, Acyclic" ] }, { "cell_type": "code", "execution_count": 43, "id": "37deb4d8", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rbb83NDQgPj4e8fHxsLKygqOjIxwcHFBUVKTSleF8fX2xa9cuiMViFBUVYc+e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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "fst = FST()\n", "fst.AddString(\"wool\",1.0)\n", "fst.AddString(\"world\",2.0)\n", "show_fst(fst)" ] }, { "cell_type": "code", "execution_count": 44, "id": "767389dd", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ly+nXrx9vvfVWnZ0B/rO9e/fyxhtvcPnyZeD2hMCYMWN46623aNKkSa2c+KmW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\nLQoLC3H8+HEcOnQItra2WLx4MYYMGaLTOLoKqVSK//3f/0ViYiJ4PB6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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfst = FST()\n", "openfst.Determinize(fst,dfst)\n", "show_fst(dfst)" ] }, { "cell_type": "markdown", "id": "c0ffc259", "metadata": {}, "source": [ "## Weighted, Not Acyclic" ] }, { "cell_type": "code", "execution_count": 45, "id": "2ce9ef50", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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f0dGRu+++Gzs7O6qqqujq6hraiyDuODqdjsLCQrKzs8nKyuL8+fOMGTOG5ORk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\nJhz/D/esIL177qpRAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fst = FST()\n", "S = [fst.AddState() for i in range(4)]\n", "for i in range(3):\n", " fst.AddArc(S[i],65,65,i+1,S[i+1])\n", " fst.AddArc(S[i],65,65,7*i+5,S[i])\n", "fst.AddArc(S[2],65,65,11,S[0])\n", "fst.SetStart(S[0])\n", "fst.SetFinal(S[-1],0)\n", "show_fst(fst)" ] }, { "cell_type": "code", "execution_count": 46, "id": "1cbbad7b", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TVQXBly9fJn19fbK3t6eXL19WeD0tLY3c3Nxo8ODBRES0cuVK8vX1JS0tLbK3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\nIW3O/wDRZOGkV8BQngAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfst = FST()\n", "openfst.Determinize(fst,dfst)\n", "show_fst(dfst)" ] }, { "cell_type": "markdown", "id": "b00a2c92", "metadata": {}, "source": [ "## Termination and Complexity" ] }, { "cell_type": "markdown", "id": "5e67150f", "metadata": {}, "source": [ "Note that there are **determinizable** and **non-determinizable** automata.\n", "`Determinize` will not terminate on non-determinizable automata.\n", "\n", "The following are always determinizable:\n", "\n", "- unweighted automata\n", "- acyclic automata\n", "\n", "Again, if you give `Determinize` a bad input, it will just sit there eating up memory until it crashes.\n", "\n", "Once determinized, minimization works and has the following complexities:\n", "\n", "- acyclic: $O(E)$\n", "- unweighted: $O(E \\log V)$\n", "- weighed: complexity of \"shortest distance algorithm\" + complexity of unweighted minimization" ] }, { "cell_type": "markdown", "id": "2b090ab7", "metadata": {}, "source": [ "# Intersection" ] }, { "cell_type": "code", "execution_count": 47, "id": "b4747262", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def wordset(s):\n", " fst = FST()\n", " for w in s.split():\n", " fst.AddString(w)\n", " return fst" ] }, { "cell_type": "code", "execution_count": 48, "id": "677a8118", "metadata": { "collapsed": false }, "outputs": [], "source": [ "a = wordset(\"there is a fox on the lot\")\n", "b = wordset(\"the quick brown fox does a lot of jumping\")" ] }, { "cell_type": "code", "execution_count": 49, "id": "d1ea937a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Q3rsftS0nJ4cMGzaMfPHFF3o5WFMoFGTFihXE3d2dODg4kAEDBhCZTKbTNg8e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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = FST()\n", "# must sort prior to Intersect, otherwise it crashes with an error\n", "openfst.ArcSortInput(a)\n", "openfst.ArcSortInput(b)\n", "openfst.Intersect(a,b,out)\n", "show_fst(out)" ] }, { "cell_type": "markdown", "id": "037f0257", "metadata": {}, "source": [ "# Composition" ] }, { "cell_type": "markdown", "id": "c9889471", "metadata": {}, "source": [ "## Composition Like Intersection" ] }, { "cell_type": "code", "execution_count": 50, "id": "be02d1f5", "metadata": { "collapsed": false }, "outputs": [], "source": [ "a = wordset(\"there is a fox on the lot\")\n", "b = wordset(\"the quick brown fox does a lot of jumping\")" ] }, { "cell_type": "code", "execution_count": 51, "id": "00e31831", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RyaSLqqoqqNVqWFlZQSKRoHfv3vjmm28QGxsLBwcHLFy4EGvWrIFAIKCTLhoZlUqFL7/8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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = FST()\n", "# must sort prior to Intersect, otherwise it crashes with an error\n", "openfst.ArcSortOutput(a)\n", "openfst.ArcSortInput(b)\n", "openfst.Compose(a,b,out)\n", "show_fst(out)" ] }, { "cell_type": "markdown", "id": "a0aba258", "metadata": {}, "source": [ "## Composition for \"Translation\"" ] }, { "cell_type": "code", "execution_count": 52, "id": "93412077", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def getc(w,i):\n", " if i>=len(w): return 0\n", " return ord(w[i])\n", "def add_between(fst,u,v,inword,outword):\n", " n = max(len(inword),len(outword))\n", " S = [u]+[fst.AddState() for i in range(n-1)]+[v]\n", " for i in range(n):\n", " fst.AddArc(S[i],getc(inword,i),getc(outword,i),0,S[i+1])\n", " return fst" ] }, { "cell_type": "code", "execution_count": 53, "id": "deaf0fb9", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WRFZWFvXp04e0tLSoZ8+elJaWRi1atJAd37ZtG1laWpK1tXWVrv9LJCQk0MKF\nCxmT/28kEgn5+/szek1z5syhU6dOfbLfxcWF+vfvT15eXuTl5aWS0SiRSERdunSRjeYwQXZ2NnXp\n0oXRe9qxY8do06ZNjMlnmop81xe9WnJychlH2rZtW8rMzCSiD0Obbdu2JSKiVatWUWBgoOy8fv36\nlTtkUBccqbW1tcrm2ng8Hn399dc0Y8aMKstat24dNWrUiLKzs5VgWeX49xxp6ffP5/OJiMjHx4cW\nLlxIz58/J0NDQ0Ycqbu7e5Xa9+3bl169eqVw+6CgIMrPz6+SDTUZCwsLudtIpVIqKSmhkpIShYL0\nBAIB9e3bV+52lWXOnDkUGRn5yf5x48ZRamoqY3r/jVQqJRMTE5UNi1pZWTEaNBkYGEjXr19nTD6T\nVOS75B6XyMrKkq2RNDMzQ1ZWFgDg3bt36Natm+w8CwsLpKenlyvjt99+k712dXWFq6urvGZUGzNm\nzMClS5cYH9IRiURYvnw5cnNzkZiYqJRF/nPmzMGcOXMQGBiIV69eYcuWLYzXBNTW1i4z5NirVy8A\nHypFXL9+HadOncLo0aOxZcsW7NixQ1afVRECAgLg7+8PGxubMut409LSFJbJ5XJx+/ZttGzZUmEZ\nnTp1wsuXL9G1a1eFZVQnQqEQd+7cgbOzM7S0tMoc27FjB+7duye3zCZNmqBly5bQ1tbGs2fPkJKS\nItfws7a2NgYNGoQXL17A1tZWbv3yUrr0YefOnWjdujWmTp0KHo+HRYsWMTq14+TkhJycHJUl+UhO\nTkbbtm0RFxfHyD1uwYIF8Pf3R/PmzWFjY6N0+crk+vXrlZ5q+uI60jdv3mDgwIGIjY0FAJiYmCA/\nP192vFGjRsjLy8P06dPRrVs3jBw5EgAwfvx49O/fH4MHDy6rsBavIz158iQKCwvx008/MaqnpKQE\nfn5+WLlyJTp27MiIjrdv32LcuHE4efIkTExMGNGhakxNTZGbmwt1dXUYGxvDy8sLAwcOxOrVq/Hw\n4UOFZO7duxcvXrzAmjVrFLYrJiYGS5cuhZqaGkQiEYAP/wfq6urQ1NSEhoYG1NTUoKamBm1tbTRo\n0AANGjSAvr4+DAwMYGxsLNunq6sLPT096OnplbtPT0/vE2dXVfLy8mBqagotLS3MmDEDP/74I775\n5hsAHxyiIvPw6urqsnnHMWPGYM6cOWWqiFQGiUSCiRMnYs+ePXLrryppaWkwNDSs0jzllzh06BAs\nLS1lD5+PYEmUAAAgAElEQVSVJS4uDpcuXYKlpSWGDBkit9709HSsX78eGzZskLttZRCJRPD29sbR\no0dr1Zr7inyX3I8cZmZmyMzMhLm5OTIyMtC0aVMAQIsWLcoUdU1LS0OLFi0UNLnm8ebNG1y6dAl/\n//0347qcnJxw7do1RgNEWrVqhfDwcPTo0QORkZG1rlo98CEd4+vXr2Ubj8cD8CEwIy8vDwcPHsSh\nQ4fg6OgIPp+v0DVu2LABx48fr5KdQUFBCAsLq3SvQiQSQSgUyjY+n1/mfemWm5uLjIwM5ObmgsPh\noLi4GBwOB0VFReDxeBAIBBAIBBAKhRCJRODz+RAIBCgpKYGWlha0tbVlW+PGjWFoaIiGDRvCwMAA\nBgYGMDQ0hIGBAUQiEYgIQqEQ69atw/r16/Htt99i8uTJGDRokEKfybx58+Dm5gZdXV0YGBjAzs5O\nbhkaGhqIiopSSH9VsbCwUIqcmzdvomfPnuUeO3z4MM6dOyeXvCdPnsDNzQ1//PEHbty4gfDwcPzz\nzz9yyWjRogXy8/NRUlICXV1dudpWBi0tLezbtw/+/v4IDw+vGyk1vzQu/O850nnz5snmQlevXv1J\nsJFAIKCkpCRq3bp1ueP6lVBZ45BIJOTk5KSSeVE7OzvZ/KEqEIvF1Lp1a5Xpqwypqal04cIFWrVq\nFQ0fPpzs7OyoefPmZGZmRs7OzvTTTz9RYGAgnT59ml6/fk0ZGRmUk5NDTZs2JQAEgDQ1NenQoUNU\nUlJCjx8/ppCQkGq7niZNmlSb7s8hkUhIJBKRQCAgHo9HxcXFVFRURAUFBZSXl0c5OTmUlZVFGRkZ\ndPv2bdnnWrppaGiQmZkZBQQEKKS/SZMmFBoaSnfu3CELCwtZ3IW8tG/fXqF2NQVzc3PS19cnT0/P\nMsGA8fHxtH//frnlbdy4kfbu3UtEH77jRo0aKWTXrVu3yiynYoJbt27Rtm3bGNWhTCryXRX2SL//\n/nvcuHEDOTk5sLS0xPLly/Hzzz9j2LBh2LNnD6ysrHDixAkAwDfffINhw4bhm2++gaamJv7666+6\n8aSBD0/Pp0+fZnxe9PDhwzh8+LDcT4FZWVnw9PRESkoKQkND5crzWvpU//PPPyMwMFBekz+LRCKR\n9axEIhFEIhGSkpIQFxeHhIQExMfH4/nz5yguLoaWlhbs7e3RoUMHdOjQAfb29nB1dUW/fv3k0mlm\nZgapVIodO3bAz89Ptt/e3h4zZ87EoEGDVP6bjIyMrHKPlgnU1dU/W93m3+Tl5UFNTQ36+vowNTXF\nX3/9BU9PTwDAypUrFdKfk5ODfv36QUNDA927d0dGRoZC+anFYjG2bduGwsJCWe+9sLAQJSUl4PP5\nKCoqQnFxMcRiMQoLC8HlcmU97NKh5dLX9L9hOwMDA+jq6kJLSwuGhobQ19eHlpYW9PX10bBhQ2hq\nasqG3XV0dKCjowNDQ0Po6upCV1cXhoaGMDIygoaGhqx3Xzp8X/qZl77m8Xjgcrk4f/68bJhzw4YN\n0NfXh5OTk9yfh4ODA4YMGQIHBwdERkaWWZ4oD3Z2dggNDYWvr69C7SuDs7Mz/vzzTwwfPhyNGzdm\nTI8qYHPtfoHY2FiEhYWpJG+qu7s7IiIi5LrZFxUVoVWrVggJCYGjoyPCw8MxfPhwuXWPHj0au3fv\n/mLgBJfLRUFBAQoKClBYWIj8/HykpaXh5cuXyMnJQWFhIXJzc6GpqQlDQ0N89dVXsLGxwddffw0r\nKyu0bt2asQLnb968+WzFnYsXLyIpKQlTpkxhRHd5cLlc9OrVC9HR0SrTyQTp6emIj4+Hu7v7J7/N\nzp07K3R9Q4cOxblz5yAWi9G5c2dcu3ZNoaCdbt26Mb6mtLKUDqOXOkeJRAI+nw8ejwehUIiSkhJw\nuVzZ0DyXy8WMGTNk8+bAh/ujhYUFDAwMcPjwYYXKMJ4/fx779u3DiBEjMHbsWIWcqUQiwYQJE+Qe\nFlaEdu3a4enTpzW+DCGbtF5BRCIRnJ2d8eDBA8Z1xcXF4dGjRxg1apRc7fbu3Yu4uDhYWFiAiDB1\n6lSFbkjXr1/H69ev8fXXX+Pdu3dIT09HUlISMjMzIRQKAXyIlGzUqBEsLCzw1VdfoWnTpmjWrBnM\nzc1lwSg1mdmzZ2PIkCEqqcwiEonQv39/nDx5slYFVMhLdTqy5ORkREVFYfTo0dWiXxmU9kwbNWqE\nMWPG4Mcff4S9vT0OHDgAR0dH2Nvbyy3z9u3b6NSpE3755RekpaXhyJEjcssoKirC8uXLsW7dOrnb\nykt6ejpWrVqFbdu2Ma6rKrBJ6xVk9OjRn6y5nDt37hfT2A0dOpTevn0rl669e/dSbGys3DauXr2a\nWrduTadOnaK5c+dS586d5ZZBRJSTk0P+/v50//59io+Pp7S0NCoqKio3qUZtZsqUKYzmvyX6sPa3\nd+/elJKSwqiemkB2djYtX768WnQPHjyYioqKqkW3svj111/p+fPnn/yfPXz4UOE11YMHDyZdXV2a\nNm2awikMY2Ji6OjRowq1/RwikYi2bt1K+/fv/2St6po1ayg6Olqp+pRNRb6LdaSfITo6mrZs2fLJ\nfg8Pjy9mCFLEka5du1ahG++uXbvo2LFjRPQhuEBdXV1uGaVtx48fr1Db2kZoaCj169ePEdnx8fFk\nbW2t8hys1cngwYNVksv3YyIiImjHjh0q1alqqrPYw6xZs+QOehw6dKgs97OtrS0R/f/9Pj8/n0xM\nTIjL5VJBQcEngZtSqZScnJxqdAWtinxX5aIN6hlisRhz584tN7/qnTt30L17d7Rv3x4AZH/j4uJg\nYGAAW1tbREZGyq3T2NgYXC5X7nYDBgzAzJkzcePGjSqtO+VwOFVKhlCbGDhwII4fPw4nJyf8/fff\nKCoqqpI8qVSKFy9eoEuXLrh//z4SExNr/DC3Mjl69Cj69++v0O9XEVJSUrB+/XpMmjRJJfqqix49\neiAxMVHlevPz85Gamip30OO1a9fw5MkTPHnyBOrq6pBIJLKh0MDAQBw4cACpqanIzMz8JNBNTU0N\nf/31F7Zv366061AlrCMth3/++QerV68uN+ine/fuuHPnDp4+fQoAsr/9+vXD/fv38eLFC9lidXlw\ncHBAQkKC3O3Mzc1x48YNnDp1CsAHR68ICQkJ6NSpk0JtayNGRka4d+8e3NzcMHHiRIwZMwYXLlyo\ndGAGEeHZs2dYv349+vfvj6ioKNy7dw9jx45l2PKah7a2NsLDw+Hr64uMjAxGdT18+BDjx49HeHg4\no3pqAvPnz8fAgQNl0cWqok+fPiAizJw5U66sVTweD5s3b8aff/4JZ2fnT+6fSUlJSExMRGJiIiQS\nySftHR0dce3aNZSUlFT5GlQNG2z0L4gIAwYM+OxC6L59++LEiRMwNjYus79Fixa4cuUKbG1t0adP\nH+zdu7fctHK5ubkICAiAjo4OtLW1oaGhIXt96dIl3L59Gw0aNGDk2iriv//9L1asWAEDAwOV664J\niMVi3Lx5E9evX0dCQgIKCgpgZmYGU1NT6OnpQSQSgcPhICsrCwKBAM2aNUOvXr3Qs2dPuavK1FV4\nPB7Gjh0Ld3d3pfcWpVIpFi5cCF1dXSxbtkypsmsyeXl56Nu3r8oiv7///nssWbIE7dq1Q15eHo4f\nP44jR47gxx9/xLhx4yps6+LigoYNG6JFixZ4+/YtLl68iKlTp+Lvv/9Geno6+vTpg6NHj0JDQwO2\ntrblRu+LRCI4OjrKMunVJNhgIzlwcXGpcG5g2bJlZGlpSR06dCAikv2NjY0lAwMDsrW1JXNz88/O\nkYpEItLS0vpkgbuBgQFNmjSJ3r17p/yL+gJ5eXk0atQoleutyUgkEuJwOLLEBNnZ2ZSXl8fWnq0E\nMTExZGtrW27Sd0XYu3cvdenShRISEpQir7aRlZVFHTt2pOLiYsZ0SCQS8vDwoLi4uHKPx8bGUo8e\nPSggIOCziWkkEgm9evWKnj59Kov3ePz4sex4VlYWHTt2jMLDwyucCw0JCaG7d+9W4WqYoSLfxTrS\nj8jMzKSVK1cyqqOkpITc3d3LOFF7e3tZFihTU1OVF8Bt27ZtrS+6y1LzePDgATVp0oTmzJlDJSUl\nlY4AF4vFlJubS76+vmRlZVUtD5c1DbFYTB07dqQLFy4o/X81Pj6eLC0tK1VmUSQSUe/evcnX15fR\nTG+lwUo1iYp8Fzu0+xEdO3bEo0ePlC6Xz+fjxo0bWLFiBVxdXeHm5gYPDw8QEebNm1em4C2fz4er\nqytu3brFeCYlIsL333+PlStXwtramlFdLPUXIsL+/ftx6NAhcLlc2NrawtLSUjZszuPxkJGRgbS0\nNDx//hwtW7bEuHHjMGDAgDqTHU1ZnDt3DosWLcLGjRvh7OyscC5ciUSCR48eYcaMGRg5cqTcheul\nUinGjRsHLS0tBAYGKj0z0cOHD/Ho0SPGC4TIA5uQoRJcuHABYrEYAwYMUJrMjIwMrF+/Hunp6Zg2\nbRpcXFwAfJiPs7KywrFjx2T7PiY9PR3jxo3DkSNHGEudxefzMXr0aCxevJixCjMsLJ+DiGRZfnR0\ndNCgQQPWacrBlStXsH37djRu3Bj9+/eHi4vLF+8VxcXFuHPnDi5cuIDExESMHDlSoSxoH5OXl4e5\nc+eicePGWLFihVKT3Pv4+ODYsWOMJM5XBNaRVgIPDw+cP39eKb3A9PR0TJgwAe3atcPMmTPLrRQh\nEAgqzEBUUFCAH374AUOHDpWVplMW169fx4oVK3DgwIE6VaGHhaW+UVxcjGfPnuHu3buIjo5GZmYm\nSkpKZPcWgUAAbW1tmJqawsHBAS4uLrC3t1d6ZanU1FQsXboUtra2mD9/vlJkPnnyBDdv3sT06dOV\nIq+qsI70C5w7dw4SiUThklClcDgcuLu7Y8SIEZg4cWKVS5MREe7cuQNvb28cP34cbm5uVZIXHx8P\nDw8PbNq0CX5+fpVOWs7CwlJ7ICLZ8hJ5ihMog8TERAwaNAghISFo27ZtleX17dsXoaGhNaJXyjrS\nCpBKpejVq5dCSRRK4fF4WLRoEfLy8nDgwAElWvf/xMfHw8fHB927d8evv/6Kpk2bokGDBp9N9CyV\nSsHn85GXl4dNmzbhxIkT2L9/f5WdMQsLC8uXWLFiBRISErB79+4qOcGUlBSEhYXJPYfLBKwjrYBb\nt24hLy8PAwcOlLstEeHkyZPYuXMnQkJCoK+vz4CFnxIVFYUTJ07g8ePH0NXVhampqezHKhAIkJub\ni+LiYtjZ2cHPzw99+/Zle58sLCwqhcfjwd3dHStXrqzSA3ynTp0QExOjRMsUg3WkFWBra4sXL17I\n3S43NxcjRozAjBkz4OXlxYBlLCwsLLUbqVSKLVu2IDExEZs2bVIoBiU7Oxt79+7FggULGLCw8rCO\n9DM8evQIGRkZ6N+/v1ztjhw5gtOnT2PPnj0wNDRkyDoWFhaWusHLly8xbNgw3L17V6GhXnt7ezx7\n9owByyoP60g/g4mJCfLz8+VqM3ToUEyaNAnu7u4MWVV3SU1NxcOHD5GZmQkulwsDAwNYWVnBwcGh\n3iTMVyYHDx7EypUrkZqaijZt2qBDhw6yzzEvLw9xcXGIi4uDoaEh5s+fj4CAAMbXJrOwfA6JRIL2\n7dsjKChI7nzkWVlZCAoKQkBAAEPWfRnWkZZDfHw84uPjMWTIkEqdz+Vy0a9fPxw9ehSWlpYMW1f7\nycnJQUREBDZu3AgNDQ34+vrCw8MD9vb2ZSqjFBYWIi4uDmfPnsXZs2fRvHlzLF68GA4ODvU27+/n\n4PF4OHv2LJYvX46hQ4di3rx5lc7LLBKJsGvXLmzduhWTJk3CmDFjYGJiwrDFLCyfMnv2bHTs2FGu\nguxEBBcXF0RFRVXbemPWkZaDm5sbLl68WKlyV/n5+fDz80NQUBBjCRLqCjExMVi1ahVatmyJuXPn\nKrRO9dGjR/jjjz9gYGCAJUuWlJv8vz4hFouxdetWXLx4EevWrUO7du2qJC8jIwOzZs1C69atsWTJ\nkmopksBSv9mxYwcKCgrw888/V7rNxYsXIZFI5J6KUxZs0vp/kZqaWumcujk5OdSlSxe5i9zWN7hc\nLnl5edFff/2ltM8qNzeXFixYQDNmzKi3uYBTUlLI3d2dHjx4oHTZSUlJ5OnpSTExMUqXzcLyJQ4f\nPky//vprpc8XCoXVWuy8It9VLx1pQEAAZWVlffG8/Px86ty5M6PJmesCd+/epV69elUq6bUipKam\nkpWVFfF4PEbkV8SQIUNIW1ubNDU1ydHRUaW6X758Sb6+vow+xIlEIpo9ezadPXuWMR0sLJ8jLCyM\nFi5cWOnzf//9d3r58iWDFn2einxXvVtcWFJSgszMTDRt2rTC8zgcDv7zn//g7t27bIBGBVy7dg0H\nDx7E9evXGYtgtrCwQHJyMrp06YKcnBxGdHyO27dvw9/fH3fu3FFZTUjgQ4rISZMmITg4mNGsLpqa\nmli/fj1u3bqF+/fvM6aHhaU8BgwYACcnJ6xbt65S58+dOxcbN25k2Cr5qXeONDw8HLNnz67wnNLA\nonv37n02cxALkJycjH379mHr1q0q0ff48WMMHz4cHA5HJfoAIC0tDd9//z1++eUXDBs2TCU6hUIh\nXFxccPXqVZXoA4BVq1ZhxYoVyMvLU5lOFhYA8Pb2Bp/PR2ho6BfP1dbWRlJSEoRCoQosqzz1ypES\nEf7880907969wvO8vb0RFhbGBmF8gYEDB2L//v1fPE8oFCI8PBxr164tsz87Oxtbt27FsWPHKqVP\nU1MTR44cUWm6MGdnZ0RHR0NPT0/upVKKMm/ePFy7dq1S586ZMwdmZmZlgjYKCgrg4uIid3TjsWPH\n8MMPP8jVpr4SERGBX3/9tbrNqDP88ssvCA0NRVxc3BfP3bx5M86dO6cCqypPvXKkeXl5X0xMP2DA\nAOzcuZONzv0CQUFBCAoKqtS5N27cwLVr18pUheDz+bLo05CQkErfwM3MzNCmTRukpqbKbbMiHD16\nFO3bt0dAQAAiIiIY1ycWi5GTk1PpdbWenp7Yu3dvmX26uro4dOiQ3Lr19fXh5OSEd+/eyd22rpGT\nkwM3Nzc4OzuXGYkoXS63fPlyBAUFYciQISgqKqouM+sUf//9N6ZMmfLFVR1t27bFpEmTVGRVJVHZ\nTO3/qAaVMnx8fEgikXz2eGBgIMXFxanQotqLsbGx3G0+/u7Dw8Np8uTJREQkkUjkkicSiSggIEBu\n/TUJAwMD6tSpEz179qzM/ps3b9L58+flknXt2jVasGDBJ/sV+V97+vQp/fPPP3K3q2s4OzvT69ev\niYjK3DNSU1OJiOjIkSM0c+ZMSk1NrfCewiIfQqGwUveC3bt3U0FBgQos+n8q+n+qVz3SN2/efDZ5\ne2xsLPLy8uTOuFFf+e6776rUPisrC99++y2AD6WeCgsLK91WU1Ozxg3tyItQKERMTAzs7e2hqamJ\nLl26IDk5GbGxsfjqq6+qza7WrVvj6dOn1aa/pvDkyRP4+Pigffv2ZZK2lNYWNjU1haGhISwsLNiC\nEEpES0sLGRkZX4xH+Omnn5Rep7kq1Jtw1ODgYJw9e7bcYxwOB3PmzMH58+dVbFXtpVu3blVqr6+v\nLxueJaIKi5yXh66uLpYtW1ZmH5fLLTMsJBKJyryXSqUQi8Vl2giFwjLniMViSKVS2Xsigkgk+qTN\nx5TX5t/n/Pv9xzolEgmio6NhY2ODpk2bokePHuVftArQ0dHBhQsXAACGhoYwNjZG48aNYWxsDB0d\nHejp6UFPTw+6urrQ1dWVvdfX168RNSOVRatWrXDz5k0YGxuXe1xdXR0FBQUgomrLtFNX0dXVhZ+f\nH06ePFlh5jmxWFxjPv9640gXLFiAxMTET/YTESZMmID9+/ezEbpyIBAIqtS+a9eumDVrFqZOnYqH\nDx/CxsZGrvZSqfSTahC16UZuYGAAoVAINTU1dOzYEePGjcOoUaNw4cIFWVHmyrBw4UKkpKQgKSkJ\nCxcuxOrVq1FYWIjAwEDZ8RUrVlR6CVdubi5GjhyJJUuWQCQSobi4GFwuF1wuFxwOB8XFxcjOzi7z\nvqioCHl5eSgsLIREIpFtUqkUUqkUBgYGMDIygomJCUxMTNCoUSM0atQITZo0QdOmTWFmZib3gxTT\n7N+/Hz179oSjoyM0NTWxe/duAP+f3ebbb7/FlClToKGhgaysLDZXtJIZNmwYxowZAxcXF5ibm5d7\nztq1axEcHAw/Pz8VW/cp9SJFYEFBAXbu3Fkm2KWUY8eOQUdHB76+viq1qTYgkUhw/vx5ODk5fXKj\n6NmzJ27evFkpOaGhofD29pa9L/3+T5w4gYkTJ6JVq1aIiIj44trej3F0dMTDhw8rfX5Nw9zcHNOn\nT8eIESNgZWUle6p++/Ytzp07h6lTp1ZKzr+je3v37g2BQIDbt2/L9vXq1avSw48RERFQV1dHnz59\nKnklX6akpAR8Pl/2t3Tj8XgoKipCWloa3r17h4yMDOTn58ucsoGBAZo2bQpra2tYWVnB1tYW1tbW\naN68udJsqwgiQmFhIQwNDdnh22qAy+Vi8ODBuHDhQrm9TpFIBC8vL1y6dEkl9tT7XLs///wz5syZ\nU+5To7Ozc5mbDktZmjdvjoyMDKirq0NHRwdEhIYNG6K4uBixsbGwtrZWuU3v379HUFBQpZ1NTaSi\nISkXFxdERkZWy5CVj48PTp8+Xe3DZUQk69GWbjk5OXjy5AliY2Px9OlTPHr0CG/fvoWamhpat26N\nTp06wdHREZ07d4ajoyP09PSq9RpYqs6tW7eQnJyMUaNGlXt89uzZ+O2331RSzrLeO9J+/frh4sWL\nn+xv27YtEhISVGpLbaKoqAienp6fPGh8/fXXCAoKwvPnzzFixAiV2zV27Fhs3LgRjRo1UrluVXDl\nyhUUFRWpfJQkLi4O58+fx9y5c1WqV9m8f/8esbGxePz4MWJiYvDs2TNwOBw0adIEtra2sLW1haOj\nI1q1aoWGDRuiYcOGMDAwYKd2aii+vr44ePAgGjZs+Mmxx48fIzo6GuPHj2fcjnrtSOPi4nDv3j2M\nGzeuzP6jR4/C1NQUHh4eKrOlJkNEePXqFR49eoTIyEikpKSgcePGyM/PR0hICADA2NgYmzZtwtix\nYwEAffr0walTpz4bkMEEMTExOHv2LJYuXaoyndWBj48PNm/ejFatWqlEH5fLhYuLCx49eqQSfdWJ\nRCLB27dv8fLlS8THx+P58+dIS0uDpqYmjIyMYG5uDltbW1hYWMDCwgKWlpYwMjKqbrPrNXZ2dnj+\n/Hm5x7y9vXHmzBnGbajXjnTJkiWYMWNGmfk3Ho8Hf39/nDlzptqHsKqTV69eITg4GNevX0eDBg3Q\nvXt3dOvWrcyw2L179+Ds7IwffvgBf/75J/T19WXti4uLMWjQoEqXo6sqeXl5GDlyJMLCwupF/uOe\nPXti3759aN26NaN6OBwOXFxcEB0drZLvsabD5/ORlpYm25KTk5GSkoLCwkIIBAI0a9YM1tbW6NKl\nCxwcHFT6IFlfefjwIR48eFBuIoaZM2diyZIljAd81dsyalKplL777rtP9k+ePFm2sLo+8erVK5o1\naxbZ2NjQ4MGD6eLFi5Senl5hdRuJRFJhtYX09HRydnYmgUDAhMkySkpKqGPHjvWqnJ1YLCZ/f38K\nCwtjTMeTJ0+oR48e9epzrQpCoZByc3MpKSmJoqOjadu2bfTDDz/QN998Q/b29vTjjz/S0aNHKS8v\nr7pNrVNIpVIaPnw4FRcXf3LsxYsXFBQUxLgNFfmuOu1IX79+TZs3b/5kX3lZYOoaEomESkpKaPv2\n7WRubk7t27enkJAQRnSJxWKytLSk9PR0pcuWSqV0/PhxcnFxUbrs2sKBAweoS5cuVFJSojSZQqGQ\nhg8fTosWLVKaTJYPSCQSioiIoIkTJ5K5uTnp6uqSh4cH7d27lwoLC0koFLLZkBQgOzubfvzxx3KP\ndenShXH9CjvSlJQUcnV1pW+++YbatWsnc0q5ubnk7u5ONjY25OHhQfn5+bI2q1atImtra2rbti1d\nvHhRLmOUzW+//UYcDkf2XiqVUv/+/UksFqvMBlUhlUopKSmJTp48SX5+ftStWzfasWOHUm++X2LP\nnj3k5uZGL168qHIhbqlUSlFRUeTo6Eh37txRkoW1F4lEQmPHjiV/f3968uSJQjVyJRIJJSQk0NSp\nU8nT07Pcp3sW5pBKpXTz5k2aN28eOTk5UYcOHWjs2LF05MgRio2Npffv31e3iTWeX3/9lV68ePHJ\n/u+//55x3RX5rgrnSDMzM5GZmQkHBwcUFxejU6dOCAkJwd69e2Fqaor58+djzZo1yM/PR2BgIOLj\n4zFixAg8ePAA6enpcHd3x8uXL8uswVLlHOm3336L2NhY2fvY2FjcuXMHEydOVKqe6ohEBj4kRbhy\n5QrCwsKQnp6Orl27wsfHB/b29iq3pRShUIjNmzfj+vXrGDRoEHx9feVaH/r69WucOHECN27cwOjR\no2tUGrCagFgsxsGDBxEWFgYjIyP07NkT7du3h5WVFRo1alRmzr+goACpqamIjY1FZGQkMjMz4erq\nikmTJtWq5BV1nbdv3yImJga3b99GbGws9PT0YGdnBxcXFzg6OqJZs2bVbWKNQSQSYcCAAZ+sLU1J\nScHz58/Rr18/xnQrLdjIx8cHAQEBCAgIwI0bN2BmZib753zx4gVWr14NdXV1WcaZ7777Dr/99luZ\ndHKqcjpEhDVr1pQpL2VpaamyqiFMkZSUhK1bt+LOnTvo2bMnfHx84ODgUCPXzD179gyXL19GVFQU\n8vLy8PXXX8Pa2hqNGzeGrq4u+Hw+MjIy8OrVK7x9+xYtW7aEu7s7evXqBSsrq+o2v8YjFovx8uVL\nvH79Gi9fvkRqaipKSkoAfEj116xZM7Rp0wbW1tawsbGpkb8RlvLJycnBmzdv8ODBA0RFRSE5ORnW\n1sKZblgAACAASURBVNbw9PTEoEGDygT91TeOHTuGr776Ck5OTmX2N2vWDBkZGYzpVYojffPmDXr1\n6oVnz56hZcuWstqMRIRGjRohPz8f06dPR7du3WS9iPHjx8PT07NMCic1NbUySxdcXV3h6uqq6LV9\nlpUrV+Lnn3+WRXeePn0abdu2ZSQpPdMPB/Hx8Zg8eTIyMzOxZMkSDBo0CEZGRrUq4lgsFoPP50Mk\nEkEikcgSEmhqakJLSwsNGjRgs8ewsHwGIgKPxwOXy8WdO3dw9OhRREZGws3NDdOmTaty7uvaRuPG\njZGbm1tmn7u7Oy5fvqw0HdevX8f169dl75ctW1a1qF0Oh0OOjo50+vRpIvq0hJaJiQkREQUEBNCh\nQ4dk+3/66Sc6depUpceZlYmmpqbstVQqJRsbG8Z0KfuaOBwO3bhxgzp06EBdu3alR48eKVU+CwtL\n3eHly5c0c+ZMat68Obm7u9Phw4cpKyurTkdip6Wl0Z49e8rsS0pKYjSeoqL7/BcX44lEIvj5+WH0\n6NHw8fEBANmQrrm5OTIyMmRzYC1atCgzdJqWloYWLVoo+kCgMCKRCDNnzpS937VrF8LCwlRuhzxk\nZGQgIiICe/fuRbNmzTB//nw8fvy4us1iYWGp4djY2GDTpk3YtGkTgA/rgoOCghASEgJtbW1069YN\nTk5OsLOzg6mpaTVbqxxatGiB7du3Y+zYsbKMVK1atcKsWbNkCWRUSYVDu0SEsWPHonHjxti4caNs\n//z589G4cWMsWLAAgYGBKCgoKBNsdP/+fVmw0atXr8oMQapijnT37t0YNWoUdHV1IZVK0b9/f5w/\nf56xoVBFr+ndu3c4cOAAHjx4gPbt28PHxwcdOnRgwEIWFpb6CofDQVRUFM6ePYtXr16hVatW6N+/\nPzw9PWtc1R15ePXqFU6dOlWmClSvXr1w48YNRvQpPEcaFRUliwosdUKrV69G165dMWzYMKSkpMDK\nygonTpyQZfdYtWoV/vnnH2hqamLz5s2fRFGpwpF27twZ0dHRAICTJ0/CxMREqdUs/s21a9fQu3fv\nSp0rkUiwZcsWHDlyBIMHD4afn5/cJcRYWFhUA5/PR0JCAlJTU1FcXAwtLS0YGxvLUgjWRvLy8vD6\n9WucPXsW586dg52dHWbOnInOnTtXt2lyQUTw9fVFUFCQLCPX/v374erqykhqzXqX2WjkyJGy125u\nbozrqwxRUVFkampKY8aMIQ6HU+V1lrWJzMxMWrNmDfXs2ZOMjIxIT09Ptpmbm1O/fv1o9+7dZdb8\nsrBUBzwej8aMGUN6eno0aNAgOnbsGCUnJxOPx5NtxcXFFBUVRYsWLaKWLVuSpaUlhYaGVrfpCiMU\nCunp06fk6elJDRs2pJUrVyq0Trk6ePjwIW3fvl32Pjk5mVatWsWIrop8V51zpFFRUXTz5k0i+pD+\nbOfOnYzq+xylqfXGjx9PPXr0oNjY2GqxozooLi6msLAw6tSpEw0cOJCuXr36xUwuQqGQjh07Ri4u\nLuTl5UUPHz5kPO0gCwvRB+f5999/k42NDR09elQhGe/fvyd/f38aMGAAvX79WskWqhaRSESbNm0i\ne3t7mjRpEsXFxVFRUVF1m/VZ+vbtS0KhkIg+BJZ6enoyoqdeOdL//ve/lJ2dTURE7u7uKu/5ZWdn\n08aNG6lv3760a9euOplF6XMIhUJatmwZDRo0iJ4+fVolWefOnaM+ffrQrl27as3TMUvtIygoiDw9\nPZX2oCsSiWjp0qXk7+9Pubm5SpFZ3Zw5c4b8/Pzo+++/p9OnT9e4aODr16/TuXPnZO/HjRvHiI31\nypEOGDCAiD7c1OfOncuoro+5fPkyeXp60uLFi+tlQvzg4GDq06cPvXr1Sqlyb9++Ta6urvTmzRul\nymVh8fb2ZizZeWFhIXl7e9OVK1cYkV8dSCQSunXrFo0fP5769OlDQUFBNSZnsIODg+z18ePH6e7d\nu0rXUW8caV5ensx5urm5Md4bFIvFNGfOHOrTpw89evSo3g5Fzpo1q8z6YWUjEoloypQpdOTIEcZ0\n1EYAkJmZGWloaNDEiROJiKhFixZljpf3ur4jlUqpXbt2jOe2lUgk9Msvv8jW39clRCIRxcbG0qBB\ng6h///7Vnif4/PnzlJCQQEQfRgV///13peuoN4700qVLFBHxf+ydd1hUx/f/3/TeEVAEiYBYISjF\nLoqIYG+x19gwGkssMfZYYkn8qYmx92iiwQLGoKDBRqyoYETp0ov0ssu2e35/+OV+QNou7C4o+3qe\nfVjmzpxz7uUy586dmXNCiGEY6tmzp8z08Hg88vT0pKFDhza51xzy5ptvvqH79+/LRdehQ4fo1KlT\nctH1MVD+v8TlckldXb3G4x9+b86U9w2FhYVy0+nn59fo86ZHjhwhNTU16tatm0zkX7hwgXR0dOjo\n0aONNhWjo6PDfq8ufWZDaTaO9Ouvv6aysjLau3ev1B2cQCCg27dvk7u7O/30009Slf2xcunSJbmP\nEleuXEkRERFy1dlUqctRqqiosK/eFI70PXv37qWwsDCx6qanp9OdO3cqlb19+5bu3r1Lz549k8hh\ndOjQQSI7JaWwsJBWrFhBEyZMYF9r8ng8+u+//yghIYG6detGQUFB9OTJE5naUVBQQJMmTaLx48dT\nRESEXNeo/PLLL+z6mJpylzaEZuFIRSIRu9XFxcVFqrLPnTtHAwYMoN9++63JzAk0NhWvd13weDy6\ndu0a7dy5ky3jcrl08eJF+umnn+jmzZti6xUIBOTl5aVYgETVO9Jff/2VLXN3d6d58+bRrFmzFI6U\n3ofeHD16tNj1nZ2dSVlZuVJZnz59aNmyZTRw4ECJRj3Z2dm0Zs0asetLiq6uLsXExBARsVNMRUVF\ndPLkSQoKCiJra2tasmQJ7d69W2Y2VEQkEtGhQ4doyJAhdPz4cblMe4lEIvLx8SEOh0Nz5syhTZs2\n0dixY2nfvn1Skd8sHGlubi4tW7aMnj9/Tv7+/lKRefz4cerevTu7nUbB/1i4cKHYT3zBwcG0fPny\nSn/7Cxcu0HfffUdnzpwhMzMziW72gIAAevz4scQ2f2pUvM/Lv1dcvZiXl0cBAQH06tUrqf1PfAyE\nhoZWWx4YGCjx2ww1NbVqyzkcDunq6kok67PPPpOoviRoaGjQggULaMGCBVVG0UTv14w0Vv7ZiIgI\nmjdvHk2dOlWme8Xj4+PJwsKClJWVCQD7uXLlilTkNwtH+vz5c3r48CFNmjSpwXuenj17Ru3ataPI\nyMhmFThBEkxMTCRuU9PfPjMzk0aMGCG2HIZhJKqvoHmhra1NOjo61KNHD0pISGDLJRmNllOdI23d\nujW1atWqRoddEwcOHJDZmgp1dXUqLCykwsLCakd/jelIyyksLKS1a9dS165dKSsrS6qyt23bVsl5\nVvxIaydBbb5Lonyk0kBWIQLnz5+PvXv34ssvv8Rvv/1WLxkFBQVwd3fH+vXrFQml62DFihXYtWuX\nRG2q+9sLhUIYGxvj0aNH6NChg9iy7OzsEBcXJ5F+WUDvH0brrFMbDMM0WIc4MuShQ9bXQpw6NjY2\n4HA47O9KSkoYMWIEoqOj8erVK4libqurq4PP51cqIyKcPHkS+/fvZ0ORikNsbCy4XC4cHR3FbiMu\nY8eOhYqKCqZOnQoTExP06NEDGRkZWLBgAS5fvgxPT08EBgY2mTymp06dwpYtW3Dt2jXY29tLJQ66\nh4dHlTi7SkpKYt1T4lCb76oz+8vHwl9//YVhw4Zh5syZErctLS3Fli1bUFxcjOjoaBlY93EiEAgA\ngI1jWRFbW9sGyy8qKkK3bt3w448/SuREgfeJq319fWutw+fza+24RSIRRCJRjceJiL0GNaGqqlpr\nJ6CkpFTt9ZNEhoqKSq25WsXRoaWlVasMZWVlaGtr1ypDR0enVjvV1NSgrq5eq511deSamppsNo/6\nyviwvp6eHrhcLhiGaXCHnZycjNatW8PNzQ1Lly6VqK009NeEv78/SktLkZGRgbZt2wJ4n+j68uXL\nAIBbt27JRG99mT59OqZPn46zZ89i/vz5+Oabb+Dt7c3mj64Pt2/fhpubG548ecKWyS0ov1TGvBIg\nK5Xjx4+n0aNHS7wY6O+//yZfX192D5KC/5GYmEgqKirUvXt3+vrrr8nf359ycnKIiGjt2rUSy6v4\nt8/IyKA2bdrUezuLnZ1dvdop+PTR0dEhZWVl8vLyoosXL7Lh4yZNmiSRHFR4Pejn50dERL179yZl\nZWVq27Yt/f333xLJ27NnD927d4/y8/MlatccuHHjBnl5edHRo0erHEtKShJbTklJCdnb2xMAMjMz\nIyMjIyouLqbc3NwGv9quzXd9Eo40Pj6ebt68SdOnTxe7DY/Ho169elFAQIDY86ABAQFkbGxMysrK\n5OTkRCKRiPz8/Cg8PJyIiDp16kSqqqqkp6dHV69erc+pNCkEAgEpKSlVmXNo0aIF6evrS3TdKrYn\nIjp27Filsh49ekhkm5eXl8Tno6B5cPXqVfaBryKhoaEyiXgjLq1ataI7d+7QkSNHaNWqVTRq1Cj6\n/PPPqX///uTn50enTp2ip0+fNtt1GQzD0LNnz6hv3760Y8cOttza2pq2b98uVvtTp05Rt27dCABp\na2tX6buUlZXJwMCA7OzsyMvLS6JAMk3WkWpra0vlo66uTlpaWqSuri52G1VV1Wo3sdeGhYUFJSUl\nEcMwtH79etq4cWOl4ydOnCALCwvS0NAgLS0tqVwveSEUCunBgwe0efNm8vDwIC0tLdLV1SV1dfVK\nN6KOjg5FRUXRqFGjGs3WBw8eiL0XUIGCcjgcjkw26otDQUFBjdF2hEIh8fl84nK59N9//9GxY8do\n/PjxZGJiQpqamtSlSxdauXIlBQcHE4fDkbPljUNqaipZW1vTV199RUpKSqSkpFRjApKQkBAyNDSs\n9qFfSUmJTE1N6bPPPiNTU9NqFyMpKSmRsbEx3b59u1abanOkjbrYSFdXFyUlJfJUX4krV65g5MiR\nYtfX1NREfn4+tLS0EBwcjICAAOzfvx/A+0Uztra2CA8PZ3MWyvnSVguHw0FxcTGKioqQm5uL+/fv\n49mzZ3jx4gWEQiHatm0LV1dX9OjRA7169YKBgUGl9q6urnj69Clat26Nc+fOoU+fPgDezx9OnjwZ\n586dk+v5EBE8PT1x48aNOucFFSj4kIMHD8Le3l6m+Yk/hGEYdOjQocHrL4qLi/Hs2TPcvXsX9+7d\nQ3JyMjQ0NODo6AhnZ2d8/vnnsLa2hp6eHvT09Oqc827qMAyD9u3bIzY2li27cuUKRowYAeD9nOjg\nwYPB4/GgpKQEa2trzJo1C35+fmjRokWd8rOysvDrr7/i5MmTSElJARFBU1MTN2/eRK9evarUr3di\nb1nwMTvS2bNnIyMjA15eXli3bh3CwsJQXFyM9u3bw9DQEGZmZtiwYQOuXr2KmzdvysWRikQipKen\nIzk5GSkpKUhJSUFMTAxycnJQWFgICwsLtG/fHvb29ujcuTM6dOgg0YT+okWL0LdvX4wbN67Ksa1b\nt8LDw6Pam05W7Nu3Dx06dICXl5fcdCr4tBg6dCiOHDmCli1bykXfnDlzsHLlStjb28tMh0gkQmJi\nIiIjIxEZGYm4uDjk5uZCV1cXRkZGsLW1hY2NDaytrWFlZQULC4sGLeyRB+fPn8fEiRMr9aNKSkoI\nDAzE1q1b8fDhQ6ipqWH8+PHYvn07LC0t660rOTkZq1atwp9//gmRSIQ+ffrg8uXLMDExqaRb4Uir\nQVJHSkQICgpCZmYmevbsifbt2+P+/fto3749TE1N8fDhQ8TExGDo0KHw9/fH3LlzpWInl8tFZGQk\nXr58iVevXiE1NRVcLhdqamqwsLBAhw4d0LZtW1hYWMDa2hotWrSQ2erAiohEIkyePBmbN2+WaSdR\nTkhICEJDQ7Ft2zaZ61Lw6cLn8+Hl5YU///wTZmZmMtNDRFi0aBGGDh2KwYMHy0yPOHbk5+cjJSUF\nycnJePv2LRISEpCdnY2CggLo6OjAysoKHTt2hKOjIzp37gwtLa1Gs7ec1NRUvHr1CgkJCXjx4gWe\nPXuGiIgIdiW9i4sL/vjjD6nsICgnNjYW48aNQ0REBExNTfHo0SN2FbTCkdaApI5UlqSnp+Pu3bu4\ne/cuIiMjkZWVBQsLC7Rr1w5ubm5wcXGBkZER9PT0oK+vL79l3XXA5/MxceJErF27Fs7OzjLTc+DA\nAaSlpWHLli0y06Gg+SASiTBjxgz07t0b8+bNk7p8hmHg4uKCM2fOoFOnTlKXL034fD6Ki4tRXFyM\n/Px8REVF4fHjx4iIiEB6ejoMDQ3h7u6OPn36oG/fvrCwsGgUO9PS0uDg4IDS0lJs27YNq1evloke\nIsKmTZuwadMm6OrqIj4+HmZmZrXHQBBj3leqVFRZMVp/YyDr9EYMw7ALCcrKyujBgwe0YcMG6tWr\nF+nq6pKmpiYNGDCANm/eTE+fPv2o4/iuW7eOxo4dK/XUdVwulzp16kTPnj2TqlwFCoiI3rx5Q61a\ntWLj1DYUgUBAM2bMIF9fX6nIa0qIRCJ6/fo17d27lwYPHkza2tqkr69Pffv2pe+//54eP35MZWVl\nxOfz690PREZGVtsPikQi0tfXJwB05MiRhp6KWOzZs4cAkIGBATEMo1hsVBPSGJFyuVzk5uYiLy8P\nBQUFCA8PR2RkJBISElBYWIgWLVrAyckJPXr0QPfu3Rv0Hr+pw+Fw4OPjgxEjRmDq1KliTfjXRGJi\nIv7f//t/yMnJwYkTJ5rMCFzBp8nRo0exf/9+rFixAgMGDJBo1MXj8RAVFYV9+/YhLy8Pp06dgqGh\noQytbZpkZ2cjPDwcDx48wKNHj5CTkwMLCwtYWlqic+fOcHZ2hpGREYyMjGBiYgJNTc0qMhwdHfHy\n5UscO3YMX3zxBXR1dQEA27Ztw5o1azB16lScPn1abJtKSkrw+vVrmJubw9raWuJz+uKLL/Dnn39i\n586dWLly5af1alckEmHUqFG4ceMGBg0ahMuXL9dr4lxcR5qRkYH4+HikpqYiMTERr1+/RlFREZSV\nlaGvr4/PPvsMdnZ2aN++PRwcHNg/fnMlOTkZO3bsQHp6OoYMGYJ+/frBzs6u1nlbkUiEyMhIhIaG\nIjQ0FN26dcOyZcugr68vR8sVNHeio6Nx6tQpREdHQ1dXF46OjmjVqhVMTEygoaEBkUjERhCKjo5G\nWloaVFRUMGzYMIwZM0axkrwGOBwO23e+fv0a0dHR4HA4UFFRgba2Nrp06QI7OzssWrQIqampAN5H\n0vruu++wfPlyaGhoQE9PD+np6RL1rxYWFujSpQs8PDywZs0aie0uLi5Gy5YtUVpaCqDmEJcfpSP9\n+eef8erVK+zbtw/Lli2DnZ0dlixZIrGcckcqEonw8uVLhIeHIzo6GlFRUcjPz4eJiQmsra3RuXNn\n2NjYwNzcHBYWFjAzM6s1jJmC9xARXr9+jRcvXuDevXtISkpCQUEB1NTUoKqqCqFQCIZhYGhoCHt7\ne3h4eKBLly747LPPGtt0BQrAMAxSUlKQn5+P4uJiCAQCKCsrQ0NDA0ZGRmjZsmWV7WIKJEcoFCIz\nMxPZ2dno3bs3uFwue0xJSQlaWlrgcDiYMmUKzpw5I7H8wMBAvHz5sl6OFADGjBmDS5cuAfjEHKmF\nhQVevnyJFi1aICcnB126dEFGRobEcq5cuYLjx4+zE+nt2rWDhoYGNDU1oaGhUWtsUgX1h2EYMAwD\nZWVlxTVWoEABgPexvTU0NEBEUFFRgbGxMRYuXIiwsDAEBwcjLCwMPXv2lFhuQx3pnTt34OHhAaBm\nR9q0NxLVQH5+PjsHYWBggPz8/HrLCgwMlJZZCsRE4UAVKFDwIXl5ebh48SJGjRpVqbw8W44sdwXU\nhouLS511PsrebODAgbh58yYAIDQ0VK5RShQoUKBAgfQxNzev4kQBsOskyucp5Y04b00/yhHp0aNH\n0alTJ0yfPh2nT5/GixcvGtukSpw7dw6+vr7NcuWeAgUKFNQXPz8/tG7dGq6urujWrRtMTEzQv39/\nhIWFISQkBBMnTpRIXsUFjmvXrq1XtLmgoKA663yUjrRly5bsFpNly5bByspKbroHDRoEf3//WleT\nXrlyBb1791Y40v8jLy8PQUFBCAsLY5Mbi0QiqKqqwsDAAPb29hgwYAAGDhzYJCKqfExERUXh+vXr\nePHiBZKTk8Hj8QC8zw3aqlUrdOnSBd7e3mK9nlKgoLH5559/EBMTw66l0dPTY8P07d+/X2JHKo0l\nQD///LNYiuQKPvKADCoqKqSlpUXa2tpEROxPhmFo0KBB1L9/fxo1apREOfQ+Rd68eUOdO3emjh07\n0vnz56mkpIR4PB4JBAISiUQkEolIKBSSQCAgHo9H+fn5tHfvXmrZsiWNGDGi2WS5qA+//fYbGRsb\n05gxY+j58+fE5XLZTfAVr215IJC4uDiaO3cu6enp0c6dOz/qwB8KPk1EIhHdunWLzSWKCplZHB0d\nSVlZmZSUlOjVq1dytevFixcEgFRUVJpuGrWP0ZF6eXlRYWFhlfK5c+fSlClTKDk5mYyNjZulIxWJ\nRHThwgXq0KED3bt3r0Gyjh49Sh07dqT79+/LteNvhGdLscjNzaVZs2bRwIEDKTc3t95yysrKaNKk\nSeTl5UXp6elStFCBgprh8XiUnZ1N0dHR5O/vTwsWLKCuXbtSx44dacmSJRQUFEQ8Ho/27t3LOlB7\ne3tKSEggIqKoqCgCQG3atCEulysXmzkcDllaWhIAio+PVzjSmpCmI9XQ0KDi4mIiIhoxYkSzc6SP\nHz8mNzc3evz4sVTl/vHHHzRkyBB69+6dVOXWRFNzpAzD0M8//0yTJk2SagciEolo8eLFtHr1auLz\n+VKT+ymxevVq0tbWpjZt2tCDBw+I6H/3R3BwME2cOJGsrKwoOzu7Mc1sUgiFQoqPj6fg4GDav38/\nzZ07l0aPHk1jxoyhDRs20PXr12v9X46NjaUWLVpUm3B7+vTpBID69OlDAoFAlqdBPB6PunfvTgBo\nzpw5RNSEE3t/jI50xIgRdOvWrSrl48aNo2+//Zays7PJysqqWTnSPXv20IYNG2Qmv7S0lEaNGlXt\ndZc2AGjo0KGkrKxMU6ZMISKiKVOmsLFYv//+ezI0NCQdHR1avny5TG0RCAQ0atQoCgkJkZmOyMhI\nGjhwoNye8j8Wfv/9d5o1axZxuVyKjo4mKyurSseDg4Ope/fu7MNzc4NhGIqKiqIzZ87Q0qVLadiw\nYfTFF1+Qn58f/fLLLxQSEkKJiYnEMIzUdPL5fOrfvz8BIFtbW8rJyZGa7IpkZ2eTjY0NASBvb2/W\naSscaQ3Ux5EmJSWRlZUVex7lP/l8PnXr1o26dOlC3t7ezcaR7tixg86fPy8XXRs2bKBr167JVAcA\nSkhIID6fT6qqqpWOFRUVkZOTE5WWlhKXyyU9PT2Z2tKhQwe5jHZKSkrI3t5e5no+Jr799ttKc3Uf\ndqLBwcG0Zs2aRrJOfmRnZ5O/vz8tXryY3NzcyNHRkWbOnEm//vorPXv2jBISEigvL09u0y98Pp9G\njBhBAEhdXZ3Wrl0rVfnLly8nNTU1AkBffPFFpZGvwpHWwOXLl2nhwoVkaWlJd+7ckfnrgk+NJ0+e\n0J49e+Sqc+bMmZScnCwz+RXvzw//cfLy8khZWZk0NTXZj6xwc3OTeiadurC0tJSrvqbMkydPyMTE\nhF6/fk3Z2dm0ePFiIiJ25B4cHEzr1q1rTBMbRMXMVFwulx4/fkybNm0id3d3UldXp9atW5Ofnx9d\nv369SS5Ou3LlCrsACACtX7++3lMUPB6PVq9ezcpSUVGp9oG9Nkf6UYYIlBYVg9ZHRUVh3bp14HK5\nmD9/PpydndG6dWu5JMj+GCEidO3aFc+fP6+zrkgkQmxsLLKystCvX78qx+/cuVNteXUIBAIMHToU\nQUFBMomOVPH+LP/+5s0btGnTBqqqqrC2tsbKlSvRpUsX3Lx5E9u3b5e6DUFBQRAKhRg2bFiddUtL\nSxEVFQUTExM2ATGPx8PDhw/ZOuJe2/j4ePzxxx/1DqX2qREdHY21a9eCy+Vi3rx5GDZsGDw8PHD7\n9m08ffoUkZGRmDVrVmObWSMCgQAFBQXIz89HXl4eG/c6JiaGzTPq7OwMNzc3dO/enb1/PhYEAgHm\nzJmDCxcusPF5dXR0MG3aNIwePRrW1tbQ19eHpqYmVFRUIBKJUFZWhqKiIqSmpuLSpUs4fvw421Zb\nWxsTJ07EwYMHq02C8skn9n779i1sbGwkbldT9peXL1/i/PnzePXqFWxtbeHh4aHYF/oBmzZtwqJF\ni2BsbFxn3evXr+PgwYMICAiociPu2bMHS5culWi/1+nTp+Hs7IwuXbpIbHddrFq1Cjt27Kj0/Y8/\n/sDAgQNhamoKDoeD48ePIyMjA25ubhgxYoTUbRg4cCBu3LghVmIEMzMzuLi4wNHRkXXqKSkp8PLy\nYm0rPx9xGDduHM6dO6fIYvIRwOPxkJSUhJSUFCQlJSEjIwNv374Fj8cDj8eDlpYWzM3NYWtrCwcH\nBzg4ODRaUm5ZwuVycfjwYWzYsAGFhYUSt+/evTsmT56M2bNnV5varZwm60i/+eYbqcj89ddfsWDB\nAiQnJ+PGjRuYNm2a2Pkrf/rpp1qPFxYWIioqCvfv38fTp0+RnZ3NbnLv27cv9PT0pHEKHx2mpqbI\nycmRqM2HN2JBQQEWLlyIs2fPSuRIGYbBlClTcO7cOYn0NyV69eqFcePGYcGCBVBXV2fL4+LiEBoa\nijlz5ogt6/bt27h+/XolR7ps2TL8+eefEtt169YtCAQCDB48WOK2CqSHSCRCYmIiYmJi2E9ycjLy\n8vKgp6cHU1NTmJmZoVOnTrC2toaZmRlatGgBMzOzZvcQREQYM2YMAgICoKOjAy6Xi3HjxkFfsX2D\n5QAAIABJREFUXx/Hjh2Dg4MDuFwutLS0YGpqio4dO8LV1RXt27dHly5dxE7LVpsjrXWOlMvlkpub\nGzk5OVGHDh3o22+/JaL3e9oGDhxI9vb25OXlRfn5+Wybbdu2kZ2dHTk4ONCNGzckes9cXwwNDWnY\nsGHsqq6tW7dKXUc5QqGQCgsLKTk5mY4cOUIjR44kc3Nz6tSpE61YsYJu3br1yWwnKCwsJB6PV+2x\nRYsWSSzvw7+9j48PFRQU1OuesLW1lbhNU0JbW5tdMNG6dWu6ePEiEb0PtvDixQuJZIWGhtKqVavY\n35OTk0lZWZmUlZWpffv2Eq2czM7O/qjn/po6hYWFFBYWRocPH6bFixeTp6cnWVtbk5mZGdnY2JCn\npyfNnz+ffvnlF7p//z6lpaVRTk4OFRUVUVlZmVRXwX4KZGRkkLm5eaX5TQB06dIlIiKaOHGi1HTV\n1k/VGiJQU1MToaGh0NbWhlAoRO/evXH//n0EBgbCy8sLK1euxI4dO7B9+3Zs374dUVFROH/+PKKi\nopCWloaBAwciJiZG5pk+eDwe/vrrLyQnJ6Nbt274/fffsWrVKpnkDFVRUYG+vj709fUxe/ZszJ49\nu9LxvLw8+Pv74/r167h79y5KSkpgb2+P7t27o2vXrnBxcYGJiQnU1dXZvJxqampNci42ISEB3bp1\nA8MwWLJkCVauXMna3rFjxwbJvn37Ntzd3dlA1Onp6WjVqpXY7TU0NODt7d0gGxoToVAIAODz+UhN\nTcWYMWOgqqoKbW3tSvOb9cHKygoikQgA4OTkBIFAUGnUWxvGxsZISUlBWVkZlJSUoKysDCUlJfbz\nqWTtofcLLcEwTJWf5R+RSFTpu0gkQk5ODrKzs5GTk4Pc3Fzk5OQgLS0N6enp7If+Lw2YqakpbGxs\n0KZNG/annZ0dnJ2d65UOTEFlgoOD4ePjA4Zh2LLy+97Y2BiZmZn46quv5GJLnbF2tbW1Abz/hxeJ\nRDAyMkJgYCDu3LkDAJg+fTo8PDywfft2BAQEYOLEiVBTU4ONjQ3s7Ozw+PFjdO/eXWYnwDAMysrK\nQEQYOXIkbt++DaFQiEmTJuH8+fMy01sTxsbGmDhxYrUxIUtLS/HmzRuEh4fjzZs3SExMRE5ODoqK\niqClpcU6aF1dXRgbG8PCwgIWFhbQ09ODjo4ONDQ02I+6ujrrjNXV1aGhocE+OEj6akcoFEIoFEIg\nEEAgELDf8/Ly2Jt0z5492Lt3LwBg6NChMDc3b9B1EolEiIiIwMKFCwEACxcuZJPnioNAIMCNGzca\nZENjoqOjAz6fzzqnHj16YNGiRSgqKmrwQ9XDhw/RtWtXFBQUoLCwUCJ5HA4HDx48wIQJE9j7oNyJ\nlN8fSkpKUFNTYx8Ay+89FRUVqKurV/pejpKSUqXfxXXstcHn8wG8v39FIhGICAKBoNKxcruFQiF4\nPB74fD6boFtFRYU9j/JPedJuAwMDGBkZsf+TFcs6deoEQ0NDtm9U0DjY2NjA1tYWcXFxlV65qqio\nwMTEBIcOHcKGDRvkYkudjpRhGHTt2hXx8fHw8/NDp06dkJWVxXak5ubmyMrKAvB+VFHRabZu3Rpp\naWlVZG7cuJH97uHhwSZNrQ8VL+J///2HixcvIiYmBi4uLoiPj4etrW29ZUsbHR0ddOvWDd26dauz\nLp/PR35+PrvqLj8/HxwOBxwOB1wuFxwOB2VlZeBwOCgtLQWHw2E7kfIHC6CWjO4VOtdy51ye0FxD\nQwPa2tpsAPSKWFtbo1+/fjh06JDY5x0YGMgufCmfZ/D09GTT3ykpKUnkRAF89IsmlJSU4OTkhLlz\n52Ly5MkwMDAA8N4JxsfHo3379mLLKWfHjh0gIhw9ehTnz5+Huro6li1bJtGDVUJCAtatW4fJkydL\ndkIKFMiZdu3aYc+ePdi/fz9u3LjBjkZFIhGMjY1x7ty5BjnS27dv4/bt2+JVFvf9cEFBAbm7u9M/\n//xDhoaGlY4ZGRkREdHChQsrhXb68ssv2bkfcd4z14fff/+dlJSU2HfkmpqalJiYSOvWrSNHR0ep\n6mpu5OXlEQBSVVWlYcOG0cuXL9k9ZZ6eno1mV2RkpMwDM8iamuLcCoVCGj9+vJyt+R9r1qyhvLy8\nRtOvQIG45Ofn04gRI4hhGIqMjGSTMigpKRGXyyUXFxep6qvNd4k94WFgYIAhQ4YgPDwc5ubmyMzM\nBABkZGTAzMwMAGBpaYmUlBS2TWpqKiwtLcVVUS8eP34MVVVV6OrqYu3atUhJSUGbNm1w/PhxnDhx\nQqKRk4LK6Ojo4NixY+BwOAgMDETnzp3ZObLr16/Lbf7hQ5YsWfLRJ3Nv2bJlteUqKiqwsrLCu3fv\n5GzR+wTGkZGRMDIykrtuBQokxc3NDZcuXYKSkhL+++8/xMTEYMWKFeybuRkzZsjNllodaU5ODgoK\nCgC836sTEhICZ2dnDB8+HKdOnQIAnDp1it2LOXz4cPzxxx/g8/lITExEbGws3NzcZHoCu3fvBp/P\nR1xcHAwNDWFqagolJSXExMQgODgY165dq9feIgXv57FmzZpV7atBVVVVEBFiY2PlatO5c+fg5+cn\n9vamj5Fdu3bB1dVVKrkUJcHHx6dR1hUoUCApEyZMwP3796GsrAwiwvbt29npHhUVFfj7+2PUqFHy\nM6i2oWxkZCQ5OzuTk5MTdenShXbu3ElE77e/eHp6Vrv9ZevWrWRra0sODg50/fp1iYbHDYHH45G3\nt3elsv79+1NmZiaNHz9esWxcBvD5fPL29qaMjAy56AsPD6eZM2fKRVdjk5KSQoMHD5abvlWrVtE/\n//wjN30KFNSXM2fO0J9//lnp94cPH1aqM2bMGCotLZWq3tp8V6PG2pU2Y8eOrfR7VFQU7d69m86e\nPUvBwcEy09ucKS4upiFDhlBsbKxM9QQGBtKMGTOa1QPRf//9R76+vjLNzMIwDM2ePZv+/vtvmelQ\noEBaPHz4kFauXMn+LhQKycfHp0o8YFk8hDYbR7p//356+/Yt+zvDMDRkyBASCoXk7OwsM73NHT6f\nT/PmzaMVK1ZIXbZQKKShQ4fKLcNMUyM7O5vc3NzoyZMnUpedlJREjo6ObIo4BQqaMunp6TRq1KhK\nyRzOnTtHt2/frlSvqKhIJpl5mo0jffr0KZ09e7ZS2ePHj+nIkSNERNSmTRuZ6Vbw/gY2NTWlwMDA\nBmcuEQgEtGXLFnJ2diYOhyMlCz9ejh07Rubm5pSTk9PgUTmXyyVnZ2c2UpkCBU0dPp9P9vb2le59\noVBIvXv3rlI3KChIJtMUzcaRlpWV0axZs6qUe3l5EZfLpWfPnrHzvApkx6tXr6hfv340a9Ysevz4\nsVgJeEUiEaWlpdGtW7do+PDhNHLkSJkl7v2YOXnyJLm4uNCPP/5Ir169EmseiMfjUUxMDB07dozc\n3d3phx9+kIOlChRIh3InWlZWVqn81KlT9Pz58yr1ly1bVmndjrSozXc1atB6WTBs2DAEBARUCmUW\nExODa9euYenSpdi4cSMGDhyI3r17y8wGBe8hIty8eRPBwcGIi4tjozDp6elBXV0dPB4PRUVF4PP5\nICI4OTlh8ODBcHV1bZIhE5sSOTk5CAoKwu3bt5Gfnw91dXXo6OhAR0cHwPsIRSUlJeDz+dDW1kaf\nPn3g6+sLKyurRrZcwafM8+fPkZeXB1dXV+jr6zdYnkgkQs+ePXHz5s0qCUJ69eqFsLCwKm2GDRuG\nq1evNlj3h9Q7aL0skLXKrVu3UlJSUpXy7t27E9H7V4ZDhw6ld+/eydQOBTVTVlZGJSUlVZ4wFTQM\ngUBAJSUlVFJSokhSr0DueHt705YtW+jatWsUHx9PRO8TpH/11VdEROTg4MAGztHV1a1TXnkSkpSU\nlCrH/Pz8qKCgoEp5dnY2LV26tIFnUj21+a5PbkQaHR2N169fV8kzyuPxMG7cOAQGBoLH46F79+4I\nDw//ZIJwK1CgQEFjYmdnh7i4uFrrMAyD1q1b49ixY/Dx8amxnkAgQPfu3REUFMQG/CmHy+Xiq6++\nwvHjx6u0+/fffyEUCtG3b9/6nUQt1Oa7Pjkv4uDgwAaLqIiGhgZat26NwsJCaGho4J9//oGrq2u9\ndJRHdVKgQIECBe8pKyvD3r17sXfv3hod6sSJE9G7d+9anWhZWRk6d+6MmzdvVnGiAODr64uDBw9W\n2/bMmTMycaJ18ck5UuB92MLqnhz27NmDMWPGAACMjIxw5swZTJs2TWL5Dg4ODbZRgQIFCj41PDw8\nMHXqVDapSUFBASIiIgAA/v7+uHTpEiZOnIjLly9X2z4pKQmOjo6IioqqNlTlw4cPMW3atBqzB1U3\nZyoP6sz+8jEye/Zs8Pn8KmHk1NXVMX78eDx48AA9evRAx44dMXv2bCxcuBC//PKLxHrCw8PZVxCr\nV6/GkiVLcPDgQYwbN67B+TrrIjk5GeHh4YiPj0dGRgY4HA4AQEtLC+bm5rCxsUHXrl1hb28vUzsU\nKFCgAHg/rfbjjz8iNzcXX331FRwcHFBWVsZmB8vPz8fmzZsRHR1dbfsrV67g999/R0xMTLXHGYbB\n999/jytXrlR7XCQSYfjw4dI5GQn55OZIgff5CdevX49t27ZVe8zHxwfXr19n83deu3YNoaGh+PHH\nH8WSb2BggMLCQmRmZkIkEsHS0hJKSkoYOHAgZsyYgfnz5yMjIwO6urpSPa8bN25g27ZtMDExwciR\nI9GlSxcYGRmxq2CB93MLJSUlyM/PR0xMDAICAhAXF4evv/4aEydOVKyGVdAoxMXF4cCBAwgLCwMR\nwdLSEgYGBuzq7dzcXKSlpUFPTw+DBg3CvHnzYGpq2thmfxRcv34dJ0+eRExMDAwMDNCqVatKq7ez\nsrLw7t07WFlZYfLkyRg3bhzb9zUFiAhz5syBu7s7Zs+eXWMfdeLECbRt2xb9+vWr9vipU6cwatQo\nqawWro5mtWq3HBUVlRqPPXjwgI4fP16p7ObNmzR//nyxZOvr61cpA0CFhYVERDR8+HBKTk6WwNra\nWblyJdna2lJSUlK9Ah2IRCLKz88nd3d3GjVqlNTsUqCgNgoLC8nT05OcnJzowYMHxOPxqoRy+xCh\nUEhlZWV06dIlMjMzo3nz5jWrsJDi8vz5c2rZsiXNmjWLsrKyiM/n13qdGIYhgUBAhYWFtGbNGjIy\nMqLLly/L0eLqEQgEZGpqSnFxcbXW43K5NGDAgFrriLMSuCHU5rs+WUe6dOnSWp2Or69vlYg5kZGR\n5OrqSnw+v1bZNTnSS5cuEY/Ho65du1JmZmb9DP8/GIahv//+m1xdXaUafFkgENDgwYPp2LFjdXZq\nChTUh7S0NOrTpw9t3ry5wU5QIBDQzJkzacqUKTLZZF9fgoODad26dXLVKRKJ6MaNG2Rra0v3799v\nsLz4+Hjq2LEjHT16tM4+T9rweDzaunUrTZkyRaz6vr6+xOPxaq3j5eUlDdNqpFk60rKysiqjzoqU\nlpbSyJEjq5S/e/eOevXqRWlpaTW2LXekJ06coF9//ZWI3p/XqlWrSF1dnUaOHNmgDkQoFNKCBQvo\nxIkT9ZZRFzdu3KBx48Y1if2GZWVl1Ldv38Y2Q0EDYRiGNmzYQAsWLJC67KKiIho5cqTcYi6XlJTQ\n8uXLaciQIfTdd9+x5eXhRpctW0ZDhw6lI0eOyDSpQDm5ubk0fPhwunLlitRlP3v2jDw9Pdm9n7KE\nYRjy9/cnX19fevbsmVhtnj9/XmdEunv37lFCQoI0TKyRZulIiYi6du1a6/HTp09X+2TH4XBo7Nix\nFBISIrYuaZ6Xt7c3vXz5UmryaiI9Pb3OayQPmrIjLSkpoXfv3lF+fn6TeOj4kEaYnakWHo9Hw4YN\nq5LOStqcP39eJo76Q4YOHUqhoaFERJUChxw6dIiIiJYsWUJDhgyhQ4cOydyRpqWlkbe3N+Xm5spM\nB5fLpalTp1JYWJjMdFy5coX69esn0StlhmHo888/r7OerEejRM3YkU6aNKnOOs7OztWOHkUiER08\neLBKaraakNZ5jRo1qtpIHrKiqKiIunXrJlMdIpGIevXqRSoqKqSpqUlr164lov9ds6biSENCQmjQ\noEFka2tL48ePp7Vr19Lhw4fp999/p5MnT9Lu3btpwYIF5O7uTu3bt6fvv/++0QPqAyAnJydycnIi\nImJ/5ufn09SpU6lXr1507949mdrAMAx5enrW+hZHmjx+/Jj8/PxkqkNPT4+GDBlCQ4YMqdZxy+vV\nLofDIVdX1wYngRCX2bNnU1RUlNTkMQxD+/btI2dnZ3ry5InEb+rmzZtHqampddbr169fPS0Un2br\nSMPDw+nGjRu11nn37h1NmzatxuM8Ho9MTU3p0aNHMl/08PjxY/rtt9/EqsswDJWVlVUZJYlEIior\nK6tzPqEiERERdPDgQYlslYTQ0NBKDySampqVjjemI83KyiInJyfy9vau17z24cOHycjIiE6cOCG3\nzq4iNf0/3b9/nyIiIig5OZlUVVVlasO6devk8lqwIn/88QcFBATITL61tXWtISxDQkJo9erVMtNP\n9P5/vFWrVjLVUR1OTk4NupeFQiGlpaVRly5daPDgwVRSUlIvOa9fv6YNGzbUWe/NmzcyeeX9Ic3W\nkZaUlNCECRPqrLdt2zYKDw+vtY6/vz95eHjQ06dPpWVeFfr27Sv2Dayjo0Pt2rWrlHePw+GQubk5\nubi40Oeffy7RP4OPj4/MHEFQUFCl+JcfrqhuDEf69u1bGjRoEO3evVsqD0jx8fHUo0cPOnfunFwX\ncdX0/zRlyhTq0KED9e3bl5SVlWWmv6SkhGbMmCFW3dTUVPL29q5kM5/PpzVr1pChoSFZWlpScHCw\n2LoHDRoks9eqly5doq5du9KhQ4fo+++/Z8vLbU9ISCAjIyMCQNnZ2TKxYdOmTWK/nTp16hTZ2NjQ\n8uXL2bLS0lIaPHgwaWpq0ldffSX2fV5UVCT2m7hy8vLy6MGDBzRt2jTq1atXgx0bj8ejfv36idUn\nLVmyhLKyshqkTxyarSMlIpo8eXKdK9JEIhENGjSoztWxDMPQwYMHafDgwXTmzBmprnRLSkqivXv3\nStQmJCSkkiNdunQpbdy4sV76AwMDqyTIlRbZ2dlkbGxMy5cvpwkTJrAJBHbs2EFE8neke/bsIT8/\nP4lG7eJy584d8vDwoPT0dKnLrg5tbe1qF1no6+tTbGwsvX37ttatYA3Fx8dH7Lrx8fEUERFRqQ+4\ndOkSDRs2jIqLiykuLq7K24raeP78uUxHIiKRiBISEmQ6N15UVFRtuVAopNGjR4st56effqKAgIBK\njnTAgAG0c+dO4nA49P3339Phw4fFlrd69epa0xhmZ2fTpUuX6Ntvv6UJEybQ119/TdevX5faW7sV\nK1bQq1evxKo7dOhQqeisi2btSC9duiTWHFFqaqrYS7GJ3icRnzx5Mg0ePJhu3boldrvMzEzKy8ur\nUn7u3DmxV7GV86Ej1dXVpXnz5pG6ujpZW1tXq6cm0tLSaNu2bRLpl4Ts7GwKDAykkJAQdsTm7+9P\nRO87LFk58Q8ZP3483blzR6Y6SkpKaPTo0RQdHS1TPUREt27dYkdGRP/7/7p8+TLp6+vT4MGDSU1N\nTWb627dvL3Gbin3AkydPyMPDgwoKCujly5dkaWkpkaw+ffpIrL8poaenRz169KCTJ09WGn09fvyY\nLl68KJGsu3fvVnKkRkZGlJiYSEREsbGxZGVlJbas58+f0+nTp4no/Rake/fu0Zo1a2jgwIHk7e1N\na9asoVu3blFGRoZENopDbGysWK90y+vu2bNH6jZUR7N2pDweT+yFCYcPH5bYmXG5XIqPj6d58+aR\nhYUFzZw5k2JjY2usf/36dVJRUSErKyu6e/cuW7579256+/atRLo/dKT6+vr077//kkgkolu3bpGt\nra3YsgQCAc2bN08i/R8bM2fOlOpCitoQCATUv39/NkjHx8yTJ0+oXbt21Xbs69evl1hexT6AYRjq\n378/m17r2LFjEsnq0KGDxPqbEtra2uy5a2hokLW1Nd28eZNOnDgh9oisnA8daVhYGGlqalKrVq3I\nx8eHNDQ0xJZVVFREhoaGNHHiRDp27BglJSVRfn6+XPabGhgYiF13586dclucWZvv+iRj7VZEXV0d\nsbGxEAgEUFNTq7XunDlz0KZNG8TGxtYYFPlDNDU10bZtWxw8eJDNSPDo0SP89NNPCAwMhKGhIXr0\n6IGePXvCzc0Nb9++hUgkQkpKCvr27QsVFRVMnToV7du3B5/Pb9C5jh07lg2vpaSkJFEYsLKyMrx5\n8wbnzp3DZ599BisrK6irq0NFRQWqqqrsz/LvH1uowYCAAHh7e6NDhw5y0aeqqop//vkHbdu2RUJC\nglx0ygotLS3ExcVhzJgx7H21dOlSLF26lA1OXl/8/f3Rv39//PPPPyAiaGpqYtasWWK3V1NTg6Wl\nZYNsaEyEQiH7ncfjISUlBT4+PtDU1MStW7caJLtnz57gcrkAgIMHD8LAwEDsttra2hg5ciROnDjR\nIBskpU+fPsjPzxerLhEhKCgIK1askLFVdfPJO1IAmDFjBpKTk2Fra1tn3bdv36Jnz54ICwurd65S\nd3d3uLu748CBA2wZl8tFTEwMnjx5UqkuwzA4f/482rdvDyMjI7GDzFd0ZFu3bgURYc+ePXBzc0Ns\nbCysrKwQGRkpts2JiYn48ssvMW7cOOTl5eHdu3fIyMhAeno6+8nIyEBJSQnKysrA4/Ggr68PfX19\n6OnpQV9fH2ZmZjAwMIClpSV0dHSgq6vLfnR0dKCtrQ0dHR2ZOeGvv/4a06ZNg4uLS6VyPp+PX375\nBSEhIWLJ8fPzw6FDh8AwDFtW0WZtbW2UlpaKJev8+fMICAjAiBEjxKovD0QiETgcDvvhcrmVfi8p\nKUFOTg6ys7ORl5eH7Oxs9loQEYRCIX788UecP38ehoaGWLBggVh6MzMz8eDBAwDA5cuXMWrUKFhb\nW2PhwoWwsrJCSkoKWrRoIdG58Hg8pKWlSXYBmhA6Ojrg8/lQVlaGi4sL5s6diy+//BJ//PEHVFXF\n754vX76M169fIzY2lr227969w+nTp6GsrIzvv/9eovSPBQUFcn9AOXDgADZu3Ch2/5CZmYn+/fvL\n2CrxaBaOdMKECZg1a1a1eUo/RElJCUeOHMGqVauwa9cuqdmgpaUFJycnfPbZZ1BSUoK6ujrGjBmD\nadOmwdPTEwzDYP78+Zg7d65Y8qia4Ml6enp4/fp1vey7evUqZs6cCTU1NZibm8Pc3BydO3eWSEZJ\nSQmKi4tRWFiI/Px85OXlIS4uDnl5ecjLy0NOTg5KS0vB4/HAMAxEIhEYhoGKigoMDQ2hp6cHIyMj\nmJqaVvkYGhpCS0urVv0XLlzAL7/8grZt22LRokXw8/ODuro6wsPDsXz5crHPY/To0Th8+HClsvLr\n/ddff+HatWtiy3J1dUXLli2l5kgZhkFhYSFycnJQUFDAfi8qKkJ+fj4KCgrY71wuF8rKylBWVmZH\nksrKytDV1YWpqSn09fVhYGAAAwMD6OrqwtjYGC1btoSBgQGMjY2hra0NVVVV5Ofn4/fffwcAKCsr\nY/jw4fj666/h4eGBli1bim17aWkpoqOj8cMPP7AZQNzd3REUFITbt2+jRYsWiIqKkuh6fP755xLV\nb2rY2tpiypQpmDp1aqVr6eLigtDQUDg7O4slJzo6GsrKyujevTt7bY2NjdGiRQuUlJQgPj6+Sjas\n2oiKikKPHj0kO5kGEBMTg1evXsHPz0/sNidPnsSiRYtkaJX4fJLZX6rD1dW1ymiwNvbs2QNHR0cM\nGDBAqnaEhobC2NgYHTt2rPKqee7cudi1a5dEr2CkAYfDwfjx43H16lW56i2HYRhwOBx2pFs+QuJy\nucjJyUFaWho7Ii53Fvn5+SgtLYW2tja0tLTQqlUrBAYGoqysDMD7+0xLSwsDBgyAkZERTp06JdFI\nWEVFBSKRqEp5586dcfbsWTg5OYkta926ddi0aROUlZVRWFjIZuNIT09HXl4eUlNT8e7dO2RlZSE3\nNxd8Ph9cLheqqqowNDSEiYkJtLS0YGJighYtWsDQ0BBWVlYwMDCAhoYGtLW1oa6uDk1NTWhqarJl\ndU1liItQKIS6ujrWrVuHOXPmoHXr1uyx7777DuvXr4empqZUdEnCxYsXYWtr+9E705oYOHAgQkJC\nGmUaZcqUKTh58qREo+L6wuPxMGjQIAQHB0vk7O3s7GpMIC4LavNdzcaRvnz5EgKBAF27dhW7jYeH\nB/766y+pp0OrCYZh0LZtW7x9+1Yu+srx8fHB+fPnZZZ+SJYwDAN6v2gOZmZmleZX1NTUIBQKYW1t\njfj4eInmjKtzpBwOB506dUJiYqJENr548QK7du1C586d0bp1a9jY2MDKygpmZmbsaLHip2JZU0Ek\nElV7/YgITk5OEk0jSIvevXvj3r17Teo6SZPLly/D3NwcPXv2lKve7Oxs/Pjjj9i5c6dc9Lm6uuLO\nnTvQ1tYWu01JSQmuXLmCKVOmyNCyyjTLNGrV0bZtW4nqMwxD9vb2co1YEx0dTdOnT5ebvgMHDsgt\nELisMTQ0pFatWlGvXr0oKCiI3dNWn5Wd1QUx2L17N61atUpiWQkJCTIN5NHYhISESLRHsaEwDENL\nly6VeFXrx4ibm5tcV37z+XyysbGRm75169bRixcvJG43ePBgGVhTO7X5rvqtpvlIGTRoEHg8ntj1\nlZSU8OzZsxoTycqCdu3aYfr06ZgzZw4EAoHM9BARtmzZAiUlJXzxxRcy0yNPIiIikJaWhvv372Pw\n4MHsSEWcRWYVOXr0KIgIR48eZRfHAMDKlSuxfv16ie168OCB2IvIPkYGDhyIt2/fIjAwUC76du3a\nBVdXV3Ts2FEu+hqTR48eoW/fvsjOzpa5rrKyMvTs2bPe6ywk5fr169DT05NomqScvLz6wRk2AAAg\nAElEQVQ8GVjUAOTmzv+PRlDJUlBQUK/IP1FRUTIPkv0hr169Ik9PT4qJiZG67MzMTPL29mazW3zq\nnD59WqJE64cOHWI/FbNh1JaWrzaaQoYdebBt27ZK4fRkwYQJE+jq1asy1dHU4PP5NHz4cPr3339l\npiMhIYH69+8vURCXhhAREVHvpO0XLlyQecq06qjNdzUrR8owTL0jofz+++909OhRKVtUO1wulzZs\n2EC9e/eWSnJvhmFo7NixNGfOnBpDk32KvHv3jubOndsouhmGESve86fCs2fPqE2bNmJl7JCE0NBQ\ncnJyklvoxaaGUCik7du309ixY6Uey3nVqlU0Z86cWoP0S5N3796Rt7d3vUMvurm5yTWedTkKR1qB\ny5cv06NHj+rVdtOmTTIPL1cTW7ZsoRYtWlBgYCDx+XyxnuQYhiE+n08PHjwgGxubTz5yUW0sWrRI\n4shR0sDV1VXuOpsCP/74I7Vv354SExPr3ekJhUJ6/PgxtWjRgq5fvy5lCz9ORCIRubi40IwZM4jH\n49U7ti2fz6dNmzaRhYWFXOdghUIhOTg41NvurKwsNka3vKnNdzWbVbvllJSUYMGCBTh9+nS92k+Y\nMAEbNmyQW4ScD0lNTcXhw4cRFBQEExMT2NnZwcrKCkZGRgCAwsJCpKamIjExEampqejbty/mz5+P\n9u3bN4q9TQWBQIABAwbg5s2bEi2xbwiHDh2ClZUVfH195aKvKXLx4kVs374d3bp1w7hx42BjYwNT\nU1Po6elVCngiFApRXFyMrKwsvH79Gn/++SfS09Oxc+dOuLm5NeIZNE0EAgE2bNiA0NBQ+Pj4wNfX\nFy1btoSRkVGV1a9lZWUoKChAZmYm7ty5g4CAANjZ2eGnn36Cnp6e3GxmGAY9e/bEjRs36r3F79tv\nv8WiRYsaJZqVYvvLB8yZMwc7d+5knY+kjB07FuvXr4ejo6OULasfPB6PjbSjo6MjN0fxsZGZmYnJ\nkycjJCSk3lGrxOXs2bNITEzE2rVrZarnY4GI8OLFC4SFheHVq1dslJ3y/qA8EEjXrl3Rt29fiReI\nNWd4PB7u3r2LBw8eIDExEQUFBexCO4ZhoKenBysrK3Tv3h39+vWT+z514P3ff9CgQTh79izMzMzq\nJYPH42Hq1Km4cOGClK0TD4Uj/YCoqCiEhYVhzpw59ZYxduxYbNq0CZ06dZKiZQpkTV5eHry8vHDu\n3Dk4ODjIRIefnx+6du3aoPtLgYJPiXHjxmHr1q1o165dvWXcuHEDysrK8PLykqJl4qNwpNXg6uqK\nR48e1XtkwjAMJkyYgM2bN8usQ1YgGxiGwYYNGxAfH48zZ85IFKihNsLCwjB69Gg8f/4crVq1kopM\nBQo+dubNm4fZs2fD1dW1QXIaM9ITULvvalb7SCuydu1axMfH17u9srIyLly4gCVLliAmJkaKlimQ\nNcrKyti8eTOOHTsGLy8vTJw4ETk5OZWC1ItLaWkpAgMDYWNjg7KyMmRlZSmcqAIF/8ekSZOk4kRz\nc3MxYMCAJhvFqtmOSAHpxWqcMGECFi9eLNcgzwqkBxFh//798Pf3h4ODAwYMGABbW1sYGxtDT08P\nampqEIlE4PF4yM/PR0ZGBh49eoR///0XhoaGWLt2baMtPlOgoClCRBgyZAh++OGHegVc+JAhQ4ZI\nlCxCFjT41a5IJIKLiwtat26Nq1evIi8vD+PHj0dSUhJsbGxw4cIFGBoaAgB++OEHHD9+HCoqKti3\nbx8GDRoktjHy5qeffsKUKVManFMRALZt2wZdXV18/fXXUrBMQWNBRIiLi8OLFy+QkZGB3NxcNoC8\nrq4uWrZsCTs7O3Tt2hU6OjqNba4CBU0OhmEwePBgHDhwQCqLxoRCIaZPn46zZ89Kwbr602BHunv3\nboSHh6O4uBiBgYFYuXIlTE1NsXLlSuzYsQP5+fnYvn07oqKiMGnSJDx58gRpaWkYOHAgYmJiKs1D\nNiVHCgA9evSoFAauIVy4cAH379/Hvn37pCJPgQIFCj4mOBwOfHx8cOrUKdjY2EhF5rx58/Dzzz9D\nXV1dKvLqS4PmSFNTU/H3339j9uzZrJDAwEBMnz4dADB9+nRcuXIFABAQEICJEydCTU0NNjY2sLOz\nw+PHj6V1HjKhX79+KCkpkYqsL774AgsXLkTXrl2rTcGlQIECBZ8qXC4XTk5OCAoKkpoTBYC0tLRG\nd6J1UacjXbp0KXbt2lVpVJmVlcW+DjU3N0dWVhYAID09vVKuwtatW1ebvX7jxo3s5/bt2w09hwax\natUqqSaHbdeuHe7evYuOHTsiKSlJanIrEhgYCDMzM1haWuL+/fsAAAsLC/b4lStXYGZmBmtra7x5\n80YmNihQoKBpEBMTg+nTp2PRokVsUo6K//cvX75EQUEB/vvvPxQVFcnEhujoaPTv3x+xsbESpUOr\ni40bN+LYsWNSkycJt2/fruSraqPWrK1//fUXzMzM4OzsXKPDqytvYnXH6jJKnhgZGUFPTw/v3r1D\nixYtpCJTV1cX0dHRmDFjBtzc3ODn5yfV1WZxcXH44YcfkJSUhOHDhyMvL4/d4B4REYEtW7bg1atX\nKC4uhqurK3Jzc6WmW4ECBU2HqKgozJs3D3fv3gXDMGw/c+LECezYsQMA4OjoiEGDBsHExAS3bt1i\nBz7SYu/evUhLS8PDhw+lKpfH4+H169dSWcNSHzw8PODh4cH+vmnTphrr1upI//33XwQGBuLvv/9G\nWVkZioqKMHXqVJibmyMzMxMWFhbIyMhgI1VYWloiJSWFbZ+amtoooZwkZdWqVdi5cyd27dolVbkn\nT57EzZs3MWjQIPz555/sgqyGsnnzZnzzzTewtLSslMgaeO9knz17BnNz8yY1F61Adrx+/RrR0dFI\nSUlBcXExgPcRriwtLWFnZ4fPP/+8kS38OOHxeAgPD8fbt2+RlZUFDocDVVVV6OnpwcbGBp07d4a1\ntXWj2nj27FnY29tj3bp1AIA1a9ZAS0uLdaLlBAQEQFNTU6oRvbhcLqZNm4bp06dj8eLFUpNbzvHj\nx/Htt99KXa5MEDdg7+3bt2no0KFERLRixQravn07ERH98MMPbLLjV69ekZOTE/F4PEpISKC2bdtW\nCU4sgUq5MnnyZJmlECooKKBx48bRvn37pCJPTU2NCgoK6Ndff61yPV+/fk1t2rShN2/eEI/Hk3vG\nGgWyJzs7m6ZNm0bt2rWjJUuWUHBwML1584aSk5MpPT2d0tPTKTk5mWJiYujevXu0evVqcnR0pGHD\nhlFcXFxjm9+kuX//PvXs2ZN69epF27Zto+fPn1NcXBylpKRQeno6paWl0du3bykqKor8/f1p5syZ\nZGdnR6tXr5Zb9pSK7Ny5ky5cuECZmZmUmZlZbYKAin2EtPrf5ORk6tatG+Xm5kpF3oeUlZWRr6+v\nTGTXl9qunUSOdNiwYURElJubS56enmRvb09eXl6Un5/P1tu6dSvZ2tqSg4NDtRkbmqojLS4upsWL\nF8tUx+vXr6lVq1YNdtinTp0iQ0ND+u2330hTU5OIiKytrdnjsbGx5OTkREZGRo2WKUGBdGEYhkJD\nQ0lXV5f8/f3rLScsLIyMjIzowIEDjZKKqi4ao38QCAS0YMEC+uyzz+qd/k0kEtHWrVupZcuWcs2V\nKRKJyMjIiM6dO0eXL1+mkpISIqrcH0jTkYpEIpoxY4bM+5WTJ0/Sf//9J1MdkiIVRyotmqojJSIa\nP358vXPkiYtIJKLly5fTwoUL6d27dzLVpeDTICIiglxdXaWa2DkpKYl69OhBN2/elJpMcWAYht6+\nfUvx8fGN7sgZhqETJ06Qr69vpcFAQzl+/Dj16NFD6jlZayM2NlbmuVpfvHhB7u7ulJiYKFM9RO9z\njjY1avNdzTqy0YcIBAIMHToUN27ckLmuoqIifPPNN1BXV8fGjRulttBJwacDEeGHH34Al8vFxo0b\npRYTuCKHDx9GREQEfv75Z5lnxBGJRPD19YWDgwOMjY2xePFiGBkZYeHChZg5cya6desmt/6Bz+fD\n19cXq1evhqenp9TlExGmT5+OESNGYMyYMVKXL08KCwuxfPly2NraYuXKlTK/TzZt2oRZs2bByspK\npnokpdZ7Ux6evCKNoFIiNm7cSCkpKXLTl5qaSkuWLKExY8ZQWlqa3PQqaPpMmTKFbt26JXM9UVFR\n1LdvX5nrefjwIS1durTWOvLoH0pLS8nV1ZWKi4tlqodhGNqzZw8dPHhQpnpkBcMwtGrVKpoxYwZl\nZ2fLRSePxyMfHx+56JKU2u5NhSOtBkdHR7nrLC4upl9//ZVatWpFf/31l9z1K2haLFu2jCIjI+Wm\nLzc3lzw8PGSqIyQkhDw9PWn16tW0evVqKiwsrFJHHv2Du7s7lZaWylxPOVu2bKGnT5/KTZ802PX/\n27vzqKauPA7gX0KCLGoKbjkIKIMiiyByqGCtOjIGqBgrSusyQ6VSp7VzZo4eq+1MF61WcDml2o51\n6hkHUVsF6i6LxVrUiqAWcMZtRI0ja8BKlCSQR5Lf/OE0U2qriVlegvdzTg6H5L13f/xI8nv3vfvu\nW7+enn32WWpqarJruwkJCaTT6ezapqlYITVTSUkJFRYW8tb+hQsXKDAwkBYvXmyzkcSM45LL5fSX\nv/zFpGXv3r1LjY2NdPv27W4j5Nvb26mxsdE4+MQUxcXFtG/fPrPjNVV9fT1FRUWRSqUirVZrPEeq\nVCqJ4zgisv33w6pVq+j8+fOPXE6n09Ht27epsbGR7t271+35lpYWun37tlnthoeHP3AFg6O5e/cu\nrVixgiIiIqx6zthUcrmcPvjgA7u3aypWSM2k1+spKSmJl+HsP6ZSqejPf/4zTZw4kfbu3dvtA830\nXJMnTzb5vRcREUEymYyCgoJoyZIlRHS/YPXt25eSk5PJ09PzZ3t+P0ev11N8fLxNv/DPnTtHiYmJ\nNHnyZONO4pYtW4yX5aSkpNisbaVSSXPmzDFp2bfffpvGjx9PU6dOJS8vL6qsrCQiopiYGJo4cSJJ\npVKz2lapVLRw4UKzY7Y1juPoyJEj9MILL9Brr71m1576j+n1ekpMTKSOjg5e2jcFK6SP4Z///KdD\n7R1VVFTQkiVL6Le//S1t377dYQ9/MJZRKBS0atUqs9dTKpXUu3dvIiKaNm0aHTx4kIiI8vLyaPbs\n2SZv58svv6TTp0+b3b4jyc7O/tmdzvz8fLp69arZ2zt8+LBxJ4Xofs/N3EJKRBQWFmb2Orag1Wpp\n//79NG/ePEpLS6MDBw7Y/GqFR9m1a5fDn9JihfQxpaen2+yC48fFcRxVVVVRRkYGxcXF0fbt23m/\njICxnj179lBFRYXZ63300Ue0aNEiIiJyd3cnrVZLRPcvbPf09DR5O7du3TJOtuKsBAIBCQQCioqK\nouzsbGOR+OE6eHOFhoYae6REj19Ic3JybD7A6ZfcunWLli1bRrGxsbRs2TI6ffq0wxzhUqvVlJCQ\nwHcYj/Sw2vXQKQKfdFu3bkV0dDRqamr4DsVIJBJh9OjR+Pvf/w6DwQClUomFCxfiiy++wPvvv49F\nixbZfHg6YzsNDQ0YPXq0Wev84x//QE5ODqqrqwEAHh4e6OjogJubG9RqtVn3TZVIJCgpKXHqy7Ho\nfgcBNTU1qKmpwbJly+Dt7Q2xWGz2tgICAjB//nyMGTPG4rgmTpyI2tpas/+/j+Pq1avYtGkTcnJy\n4Ofnh+XLl2PlypVwc3Oz6rzf1rBgwQLk5eXxHYZl7FbO/4eHJi3y1VdfUUFBAd9hmKSrq4s+/vhj\nCgsLo9/97ndUWVlJLS0tDj/Igfm/zZs3m3X4cfny5RQVFdXtuXfeeYeWL19OOp2OFi9ebNYsNBqN\nhv74xz+avLwjcnFxIQAEgAQCAQUGBtInn3xCo0aNMnkbKpWKAgMDaeXKlQ+89rg90gsXLtClS5fM\nXu/HOjs7qa2tjZqamqi2tpZOnTpF69evp5kzZ1JQUBBFR0fTu+++SzU1NRa1Yy+XL1+mrKwsvsMw\nycNqF5uQwQRJSUnYtWsXvL29+Q7FLN999x0KCgrw73//G0OGDMEzzzyDqKgoBAcH8x3aE6+pqQnr\n1q1DXFwcRo4ciZCQELi6uuLrr7+GQCDApEmTTNrOT3sXer0eHMdhwoQJqK6uxtNPP41vv/3W5KMU\nV69exTfffINXX33V7L/JUQgEAvj7+2PWrFlYtmwZ+vfvDwDIyMgw+ZZcb7zxBj788EPj7+np6cjJ\nyUFYWBguX75sfN6c77LMzExcu3YNQqEQAoEAAoHgZ9cnInR1dYHjOONDq9Wiq6sLffr0Qb9+/RAQ\nEICQkBDjQyQSmRyHo9DpdBg5cqTT3OrxYbWLFVITdHZ2YsqUKTh27BjfoTw2rVaL8+fP49y5c6io\nqIBSqURUVBTi4+Mxbtw4p/wgOrOWlhb4+vpCr9cbi2F4eDgCAwPBcRwKCwttMpPRo2zatAnPPfcc\nfvWrX9m9bWuprq7+2cOn5eXl4Diu262x7MnPzw/19fW8tO2I0tLSkJ2d7TSnEVghtYJjx47hX//6\nl01uF8QHvV6P77//Hq2trTh06BCKiorQ2tqKZ599FjNmzEBCQgIvX+Q9nU6nw9mzZ/H1118bb331\nA4FAgIyMDLS0tGDHjh3o06ePXWPjOA6JiYn45ptv7NquvXAch+TkZJSWltq97StXrqCyshLz5s2z\ne9uOaN++fVCpVEhLS+M7FJOxQmolr7/+Ot544w2n3ls3hU6nQ15eHnbu3Injx49j0KBBkMlkSElJ\nQVxcnPHQFCu09xERDAYDiAh6vR5tbW04ceIETp48iVOnTuHixYsYMGAAkpKSkJCQgMTERIjFYnh7\ne0OpVMLFxQWhoaG4cOECXFxcwHEcJk2ahFOnTtn173j77bfx8ssvY9iwYXZt1552794NDw8PPP/8\n83Zrk4jg7+/PeqP/09bWhjlz5qCkpITvUMzCCqmVEBHi4uJQXl7+RBaR5uZmlJeX48yZMzh79izu\n3LkDf39/+Pv7IzAwEBEREejfvz/69OljfHh5eTncKEFTdXZ2QqVSQa1WGx9tbW24cuUKbty4gbq6\nOtTX14PjOIjFYoSEhCAmJgbR0dGIiIh45OHyKVOmoKWlBQcOHMDgwYO7vVZYWIhLly5h6dKltvwT\njUpLS/Htt9/i/ffft0t7fEpNTcWaNWvsssNgMBgwa9YsfPLJJ5BIJDZvz9EREaZMmYIvv/zSrNHk\njoAVUitSKBSYP38+CgsL+Q7FoWi1WsjlcsjlctTX16O+vh6NjY1oaWmBq6srXF1dIRQK4eHhgX79\n+sHb2xtPPfUUxGKxseD27t3b+NPFxQW9evWCUCiEUCiEu7u78bmftvvD+6mzsxPA/S8vjUaDjo4O\naDQadHZ2oqOjw/hTo9Hg3r17UCqVUCqVaGtrg1qthl6vh8FggE6ng16vh1gsxsCBAzFo0CBIJBJI\nJBL4+voiICDAKodd79y5Ax8fn198fevWrWhoaMB7771ncVsPs3PnTly8eBFZWVk2bcdREBGmTp2K\nDz74wKaXonR1dWHBggVYuHAhYmNjbdaOM1m6dClmzZqFmJgYvkMxGyukVlZZWYni4mKsWLGC71Cc\njl6vh0qlgkajgVqtNha8Hxe79vZ2GAwGqNVq4+hFtVptLJA/5unpaezx9u7dGwDg6uqKvn37QiwW\nw93dHW5ubhCJRHBzc0OvXr3g5uYGT09PeHl5wdPTE56ennBzc7N7LkxRVlaGrKws5OfnP9Z1kA+j\n1WqRnp4OmUyGuXPnWnXbzmDlypXo7OxEZmam1bfd0NCAF154Adu3b+/Rh8rNsWfPHrS3tyM9PZ3v\nUB4LK6Q2sGbNGowbNw7jx4/nOxSmh1Or1Zg9ezYCAgKwadMmq2wzOzsbX3zxBUpLS53usi5runbt\nGpKSkvDZZ59Z5b6kHMchKSkJ48aNw3vvvcdGw/9Pc3Mz/vCHP2DPnj18h/LYWCG1kdTUVGRlZWH4\n8OF8h8I8AfR6PaZOnQoA2LhxI/z9/eHh4WHSulqtFq2trXjnnXdw/vx5lJWVWb2H68zOnj2LlJQU\nZGRk4E9/+hPEYjGEQtMmflOr1bhy5QpeffVVxMbGYuPGjSav+yS4e/cuEhMTUV5e7tSzrrFCaiMG\ngwFSqRT5+fno168f3+EwTwgiQmFhIXJzc9He3o6goCCEhIRgyJAhcHd3B3C/cDY0NODKlSu4fv06\nAODFF1/E3Llzn8iBcqbiOA6bNm1CYWEhxGIxgoODMWLECAwYMAAikQgGgwGdnZ24fv06Ll++jOvX\nryMwMNBYRJnuOjo6kJycjEOHDjnd4KKfYoXUhlQqFSZPnuz0e1uM8yIitLa2QqFQGM8he3h4oH//\n/pBIJOx9aQGO49Dc3Iw7d+6gs7MTrq6u8PLygkQieehAMea+KVOmYMuWLfDz8+M7FIuxQmpj9+7d\nQ2RkJG7cuMG+tBiGYQBER0dj7969GDp0KN+hWAUrpHbQ1dWFESNG4MaNG3yHwjAMw6sxY8bg+PHj\nJp/DdwYPq12s+2QlIpEI3333HWJjY9He3s53OAzDMHbHcRxmzJiBgoKCHlVEH4UVUivy9vZGaWkp\npk6ditu3b/MdDsMwjN1oNBrIZDJs2LABQ4YM4Tscu2KHdm2go6MDSUlJ+Nvf/obQ0FC+w2EYhrEp\njUaD+Ph4FBYW9tgrGNihXTvz8PBAWVkZcnJy8Omnn/IdDsMwjM1UVFTg+eefx4kTJ3psEX0UVkht\nxMXFBevWrYOPjw9eeeUVGAwGvkNieggiglarxblz54zvq3Xr1qFXr17w8PCAUCg0DnrbtWsXRCIR\n3N3dMXbsWD7DZnoYIkJ2djb27t2L0tJSh51m0x7YoV07qK+vh0wmw549e3r8LdgY20tOTsatW7cg\nEAigUCjQ3Nzc7fWjR48iNzcXO3bswODBg/Gf//wHQqEQUqkUq1atQlxcHE+RMz1FW1sbpk+fjszM\nTIwbN47vcOziYbWLzWNlB35+fqiqqsJrr72GgIAAvPXWW2x2GeaxVVVVYfPmzfDx8cGECRMeeP3T\nTz81TkKvUCiM09UlJyfj2rVrrJAyFsnNzUVBQQGKi4vh6enJdzgOgR3atRMXFxd89tlnkMlkSExM\nxIkTJ/gOiXFSp0+fxpEjRzB9+vQHpqVLT0+HUChEamoqAHS7FywROe29YRn+3bhxA5MmTYKvry8O\nHz7MiuiPsEJqZ5GRkThy5AgUCgVGjBiBe/fu8R0S42SGDh2KzZs3o6ysDGfOnDE+n5iYCI1Gg/z8\nfONzEokEOp0OALBv3z4EBwfbPV7G+cXHxyM/Px9HjhyBVCrlOxyHw86R8mzDhg34/PPPsX//fvj6\n+rIeA/NIPj4+UKvV0Ol0GDhwIJqamrB27Vq89dZbxmVkMhkOHjyIQ4cOITU1FTqdDgkJCSguLuYx\ncsaZ3LlzB+np6ejVqxcKCgr4Dod3bIpAB2cwGPDXv/4VRUVF+P3vfw+pVIo+ffrwHRbjwAwGAy5c\nuIDIyEi+Q2F6EK1Wi+PHj+Ojjz5CWFgYVq9ebbyj0JOOFVInUllZia1btxpHxaWkpDzWuYiysjL8\n+te/tn6ATDd85rm1tRUDBgzgpW17Y+9n29FqtSgqKkJeXh5aW1vx5ptvQiqVsqNjP8EmZHAisbGx\n2LJlCz7//HNERkYiOzsbY8eOhVQqxebNm3Hr1i2TtlNWVmbbQBkA/Ob5SSmiAHs/W5NCocC2bdsg\nk8kQGxuL1atXY8iQIdi2bRvGjx+PhIQEVkTNxHqkTkKn00Gn06G2thb79+83DjTR6XRwcXF54I3f\n1dUFkUjEU7RPDkfNc0/7jDlqnp0BEcHV1RXh4eEYO3YsnnvuOUyYMAEikch4adQPVqxYgRUrVvAT\nqINj15H2AEKhEEKhEBEREYiIiMC777770OXZB8I+WJ7tg+WZcWS89EgZhmEYxtk4TI+0px1yYhiG\nYZ5sbLARwzAMw1iAFVKGYRiGsQArpAzDMAxjAbsW0pKSEoSEhGD48OFYu3atPZvucerq6jBp0iSE\nh4dj5MiR+PjjjwHcn9ZLKpUiODgYCQkJUCqVxnWysrIwfPhwhISE4KuvvuIrdKek1+sxevRoyGQy\nACzPtqBUKpGamorQ0FCEhYWhsrKS5dkGsrKyEB4ejoiICMydOxdarZbl2VJkJzqdjoKCgkgulxPH\ncTRq1Ci6dOmSvZrvcZqamqi6upqIiNrb2yk4OJguXbpES5cupbVr1xIR0Zo1a+jNN98kIqKLFy/S\nqFGjiOM4ksvlFBQURHq9nrf4nc2HH35Ic+fOJZlMRkTE8mwDL730Em3dupWIiLq6ukipVLI8W5lc\nLqfAwEDq7OwkIqIXX3yRtm3bxvJsIbv1SM+cOYNhw4Zh6NChEIlEmD17Ng4cOGCv5nsciUSCqKgo\nAEDv3r0RGhqKhoYGHDx4EPPmzQMAzJs3D/v37wcAHDhwAHPmzIFIJMLQoUMxbNiwbncOYX5ZfX09\nioqK8MorrxhHnbM8W9fdu3dx8uRJzJ8/H8D966bFYjHLs5X17dsXIpEIGo0GOp0OGo0Gvr6+LM8W\nslshbWhogL+/v/F3Pz8/NDQ02Kv5Hu3mzZuorq5GbGwsFAoFBg0aBAAYNGgQFAoFAKCxsRF+fn7G\ndVj+Tbd48WKsX78eAsH/Py4sz9Yll8sxYMAAvPzyy4iOjsaCBQugVqtZnq3Mx8cHS5YsQUBAAHx9\nffHUU09BKpWyPFvIboWUTcRgGyqVCjNnzsTGjRsfuGPMz00d+NPXmYc7fPgwBg4ciNGjR//ynR9Y\nni2m0+lQVVWF119/HVVVVfDy8sKaNWu6LcPybLnr169jw4YNuHnzJhobG6FSqbBz585uy7A8m89u\nhXTw4MGoq6sz/l5XV9dtT4cxX1dXF2bOnIm0tDRMnz4dwP29yebmZgBAU1MTBrhdlnAAAAG5SURB\nVA4cCODB/NfX12Pw4MH2D9rJlJeX4+DBgwgMDMScOXNw7NgxpKWlsTxbmZ+fH/z8/PD0008DAFJT\nU1FVVQWJRMLybEXnzp3DM888g379+kEoFGLGjBk4ffo0y7OF7FZIY2JiUFtbi5s3b4LjOOTl5WHa\ntGn2ar7HISJkZGQgLCwMixYtMj4/bdo05ObmAgByc3ONBXbatGnYvXs3OI6DXC5HbW0txowZw0vs\nziQzMxN1dXWQy+XYvXs34uPjsWPHDpZnK5NIJPD398fVq1cBAEePHkV4eDhkMhnLsxWFhISgoqIC\nHR0dICIcPXoUYWFhLM+WsufIpqKiIgoODqagoCDKzMy0Z9M9zsmTJ8nFxYVGjRpFUVFRFBUVRcXF\nxfT999/Tb37zGxo+fDhJpVJqa2szrrN69WoKCgqiESNGUElJCY/RO6eysjLjqF2WZ+urqamhmJgY\nioyMpJSUFFIqlSzPNrB27VoKCwujkSNH0ksvvUQcx7E8W8juk9YzDMMwTE/CZjZiGIZhGAuwQsow\nDMMwFmCFlGEYhmEswAopwzAMw1iAFVKGYRiGsQArpAzDMAxjgf8CY8m7v9fvye8AAAAASUVORK5C\nYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trans = FST()\n", "s0 = trans.AddState()\n", "trans.SetStart(s0)\n", "s1 = trans.AddState()\n", "trans.SetFinal(s1,0)\n", "trans.AddArc(s1,32,32,0,s0)\n", "add_between(trans,s0,s1,\"fox\",\"fuchs\")\n", "add_between(trans,s0,s1,\"there\",\"da\")\n", "add_between(trans,s0,s1,\"is\",\"ist\")\n", "add_between(trans,s0,s1,\"on\",\"auf\")\n", "add_between(trans,s0,s1,\"the\",\"der\")\n", "add_between(trans,s0,s1,\"lot\",\"platz\")\n", "add_between(trans,s0,s1,\"a\",\"ein\")\n", "show_fst(trans)" ] }, { "cell_type": "code", "execution_count": 54, "id": "c4339495", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5/146NzeXpk6dStu3b3+QyC7L1atXacCAAZScnKwxGfv37ycA9MUXX2hMxsPS1NREX3zx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\nrlMAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"there\")\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 55, "id": "957a3c9e", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UCtqxYweZm5sTAEYj6gqFgo4cOUKRkZGMjUacOnWKJkyYQM7OzqSjo0NaWlrk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\nGGOsbPGwyxhjjDHGytZvYiEQtB9pgsYAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = FST()\n", "# must sort prior to Intersect, otherwise it crashes with an error\n", "openfst.ArcSortOutput(a)\n", "openfst.ArcSortInput(trans)\n", "openfst.Compose(a,trans,out)\n", "show_fst(out)" ] }, { "cell_type": "code", "execution_count": 56, "id": "26af781c", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BFRUV2XwPY1paGmVkZBDRP1/tJn2l1smTJyk8PJwsFguVlpZSUFCQ9SuU+vfvT4cOHSIi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\nrkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"there is a fox on the lot\")\n", "out = FST()\n", "# must sort prior to Intersect, otherwise it crashes with an error\n", "openfst.ArcSortOutput(a)\n", "openfst.ArcSortInput(trans)\n", "openfst.Compose(a,trans,out)\n", "show_fst(out)" ] }, { "cell_type": "code", "execution_count": 57, "id": "eaf02113", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "da ist ein fuchs auf der platz\n" ] } ], "source": [ "print label_seq(out)" ] }, { "cell_type": "code", "execution_count": 58, "id": "edf15ab7", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "'da ist ein fuchs auf der platz'" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "openfst.GetString(out)" ] }, { "cell_type": "markdown", "id": "8bc3f365", "metadata": {}, "source": [ "# Blow-Up on \"Minimization\"" ] }, { "cell_type": "markdown", "id": "58663a10", "metadata": {}, "source": [ "Let's minimize the above \"translator\"." ] }, { "cell_type": "code", "execution_count": 59, "id": "47cb53f4", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(22, 28)\n", "(54, 95)\n" ] }, { "data": { "image/png": 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56qdp06Z48uSJ3D649PjxY8nEPW2HaRBCCCGE6KrYDKv4999/pZ7n5uZKHpctWxY1atTA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\n3yEQGWlra7Pnz59z3u79+/fbvD5r1iyWnp7OQkNDOe+btO3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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "dfst = FST()\n", "openfst.Determinize(trans,dfst)\n", "openfst.Minimize(dfst)\n", "show_fst(dfst)\n", "print fstsize(trans)\n", "print fstsize(dfst)" ] }, { "cell_type": "markdown", "id": "9aad12bf", "metadata": {}, "source": [ "As you can see, the \"minimized\" automaton is bigger than the original one.\n", "That is because minimization actually starts off with determinization, which\n", "can increase the size of the automaton.\n", "Nevertheless, a deterministic minimal automaton may still be preferable\n", "to a smaller non-deterministic automaton." ] }, { "cell_type": "markdown", "id": "4ee25d69", "metadata": {}, "source": [ "# Difference" ] }, { "cell_type": "markdown", "id": "e1d7bd2b", "metadata": {}, "source": [ "In addition to intersection, union, and composition, you also get the \"difference\" operation.\n", "Again, it is best to think of this as difference of sets of strings." ] }, { "cell_type": "code", "execution_count": 60, "id": "292bb844", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Pw4nFYkpISKD//Oc/ivcGU1jir7tWRzYGsVhMX3zxBZmYmNCrr75KZWVlJBQK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\nEREREaUtFrtERERElLb+Bay7bA/0mVjPAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"hello\")\n", "a.AddString(\"world\")\n", "b = FST()\n", "b.AddString(\"world\")\n", "out = FST()\n", "openfst.Difference(a,b,out)\n", "show_fst(out)" ] }, { "cell_type": "markdown", "id": "787ecb16", "metadata": {}, "source": [ "Note that in the presence of cycles, this can get quite complicated." ] }, { "cell_type": "code", "execution_count": 61, "id": "231dd744", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ZTEZcXBx33nknarWa4eHhWfuct4J7cny653Bl0hR7bSoqKtBqtTzyyCMe0T37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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "S = a.AddState()\n", "a.SetStart(S)\n", "a.SetFinal(S,0)\n", "a.AddArc(S,65,65,0,S)\n", "a.AddArc(S,66,66,0,S)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 62, "id": "a9880155", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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b+509e5Z169axbNkyGhsbmT9//i1XnmCd3BEbG0tISAgjR45k69atbNiwgS1b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\nEviEEEIIIYa4/wNlGF3u4KTH4QAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = FST()\n", "b.AddString(\"ABA\")\n", "out = FST()\n", "openfst.Difference(a,b,out)\n", "show_fst(out)" ] }, { "cell_type": "markdown", "id": "1bf96612", "metadata": {}, "source": [ "Note that `Difference` works only on unweighted epsilon-free deterministic acceptors." ] }, { "cell_type": "markdown", "id": "416247e6", "metadata": {}, "source": [ "# Reverse" ] }, { "cell_type": "code", "execution_count": 63, "id": "1db1da5b", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GhsZTT0LSYtasWdi/fz/eeustLF68GNra2oiKisIff/zB+GbK6upqGBgYQEVF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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"hello\")\n", "a.AddString(\"world\")\n", "out = FST()\n", "openfst.Reverse(a,out)\n", "show_fst(out)" ] }, { "cell_type": "code", "execution_count": 64, "id": "332b31dc", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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pKXx8fHD58mWJ6gGAJUuWoKqqCg8ePJC4bGlCRPjll19gbm4OPz8/qegoLy/HmDFjxFUF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\nCWYYhmEYhmFeOv8PoBZ8uU7j+fgAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"hello\",1.0)\n", "a.AddString(\"world\",2.0)\n", "a = minimize(a)\n", "out = FST()\n", "openfst.Reverse(a,out)\n", "show_fst(out)" ] }, { "cell_type": "markdown", "id": "ebd05d3b", "metadata": {}, "source": [ "# Transducer Labels" ] }, { "cell_type": "code", "execution_count": 65, "id": "f68126ce", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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/H6vVyv/6X/+LjIwMUehOAYlEwne+8x3MZjMffPABr7/+utAn3lUSPCQSCXK5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\nIAjCjPV/F1Tyif83w4wAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddTranslation(\"a\",\"ein\")\n", "a = minimize(a)\n", "openfst.RmEpsilon(a)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 66, "id": "e5f285c5", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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27BiJiYls3LgxKNd4QEs40Fi6bdu2rzxWr9eHhF52fX09v/3tb7FYLLhcrkWP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\nRK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = a.Copy()\n", "openfst.ProjectInput(out)\n", "show_fst(out)" ] }, { "cell_type": "code", "execution_count": 67, "id": "9c9b8410", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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e4tEQvJ+FhYWYzWYaGxspLy8nMDCQqKgovL293aK0okwmu+8ulTuME4PBQFVV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\nw+Hg5s2bNDc3c/HiRcxmM62trXR0dCi7LUVFRREXF6ccsbG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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = a.Copy()\n", "openfst.ProjectOutput(out)\n", "show_fst(out)" ] }, { "cell_type": "code", "execution_count": 68, "id": "240a22eb", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nnngCpVKJg4MDJpOJs2fPsnDhQqut2DWZTGRlZfH+++9jMBj4z//8TxISEqxu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\nZGQk8+fPJy4ujri4OHQ63U2foz6jkl1BEGaO0dFReRGZe7T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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = a.Copy()\n", "openfst.Invert(out)\n", "show_fst(out)" ] }, { "cell_type": "markdown", "id": "a0888791", "metadata": {}, "source": [ "# Arc Sorting" ] }, { "cell_type": "markdown", "id": "38be534e", "metadata": {}, "source": [ "For some of the operations, like `Compose`, we needed to call\n", "an `ArcSort` operation.\n", "This is because inside the `Compose` function, lists of arcs\n", "are compared in an operation similar to a sorted merge.\n", "\n", "Here is a simple illustration of what `ArcSort` does." ] }, { "cell_type": "code", "execution_count": 69, "id": "b56a9ef3", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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iJzuIXC5HOBzm6tWrXL58mYWFBdLptPy4SqXCZDLR1NTEkSNHqK2t3fBrbVhM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\ncjlycnJQXl6OsrIylJaWQq/Xo6SkBBKJ5DsrLIlEAvF4HBaLBSaTCff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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"b\")\n", "a.AddString(\"a\")\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 70, "id": "7c447aec", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3XltbS2dnpxATgeBJYrFY6OzsZG5ujlAoRG9vL7FYjA8//BCj0YhCoWBhYYHF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\nbt68iRs3buDmzZuwWCwIBoNLLsEolUrodDpUV1ejqqoKlZWVqKioQHl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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "openfst.ArcSortInput(a)\n", "show_fst(a)" ] }, { "cell_type": "markdown", "id": "4b150664", "metadata": {}, "source": [ "# Topological Sort" ] }, { "cell_type": "markdown", "id": "8047a378", "metadata": {}, "source": [ "Topological sorting renumbers the nodes of the graph so that they are consistent\n", "with some depth-first search exploration of the graph from the start state.\n", "\n", "This is an important operation inside the library; I mainly mention it here\n", "because you should review topological sorting from your algorithms class." ] }, { "cell_type": "code", "execution_count": 71, "id": "5ae29a74", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RIJvNUigUUCgUsmGvVquluroai8UiR7H2I8lkkvn5eTKZDO3t7bLwed7JZrN4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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "S = [a.AddState() for i in range(4)]\n", "a.AddArc(0,65,65,0,3)\n", "a.AddArc(0,65,65,0,2)\n", "a.AddArc(3,65,65,0,1)\n", "a.AddArc(2,65,65,0,1)\n", "a.SetFinal(1,0)\n", "a.SetStart(0)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 72, "id": "caeffb1d", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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K1+ultbWVnp4eOjo6dl0F7OLiIpcuXWJycpKZmRm8Xi/BYJBoNCoLO6PRSE1NDW63m+Xl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\nv/nmG6Gur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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "openfst.TopSort(a)\n", "show_fst(a)" ] }, { "cell_type": "markdown", "id": "8431c700", "metadata": {}, "source": [ "# Shortest Paths" ] }, { "cell_type": "markdown", "id": "d8be1f3a", "metadata": {}, "source": [ "`ShortestPath` computes the shortest path through the weighted finite state transducer,\n", "starting at the start state and fininishing at some final state.\n", "\n", "This uses the common shortest path graph algorithms. Which algorithm is used\n", "depends on the properties of the FST." ] }, { "cell_type": "code", "execution_count": 73, "id": "777b088d", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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u3bpFGhoaXL2ZmZnUokULbvvHH3+khIQEuROpgQMHyrX/i3R1deUu4+/vzx1k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\nrkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"and\",0,0,1)\n", "a.AddString(\"another\",0,0,0.7)\n", "a.AddString(\"any\",0,0,1.3)\n", "a.AddString(\"around\",0,0,0.1)\n", "a = minimize(a)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 74, "id": "4cec501b", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(['a', 'r', 'o', 'u', 'n', 'd'], 0.599609375)" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "out = FST()\n", "openfst.ShortestPath(a,out,1)\n", "label_seq(out,full=1)" ] }, { "cell_type": "markdown", "id": "61ad8b21", "metadata": {}, "source": [ "# Shortest Distance" ] }, { "cell_type": "markdown", "id": "76a74f3c", "metadata": {}, "source": [ "`ShortestDistance` computes the distance from the start node to each node\n", "in the graph and puts the result into an array.\n", "\n", "This turns out to be a very powerful operation that we will be talking about\n", "again later." ] }, { "cell_type": "code", "execution_count": 75, "id": "6912e7ed", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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u3bpFGhoaXL2ZmZnUokULbvvHH3+khIQEuROpgQMHyrX/i3R1deUu4+/vzx1k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\nrkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"and\",0,0,1)\n", "a.AddString(\"another\",0,0,0.7)\n", "a.AddString(\"any\",0,0,1.3)\n", "a.AddString(\"around\",0,0,0.1)\n", "a = minimize(a)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 76, "id": "a3ac4670", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.0, 0.599609375, 3.0, 0.599609375, 4.8994140625, 0.599609375, 4.8994140625, 0.599609375, 4.8994140625, 0.599609375, 4.8994140625, 0.599609375]\n" ] } ], "source": [ "dist = openfst.vector_weight()\n", "openfst.ShortestDistance(a,dist,0)\n", "print [d.Value() for d in dist]" ] }, { "cell_type": "markdown", "id": "b6830943", "metadata": {}, "source": [ "# Back to Language Models" ] }, { "cell_type": "markdown", "id": "db95eedd", "metadata": {}, "source": [ "Let's construct a simple language model again." ] }, { "cell_type": "code", "execution_count": 77, "id": "1db702f5", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SeVq1akUvX77kO4w3pKWlUadOnWjq1KlUWFhY65s1x3FUXFxM8+bNo7Zt29KL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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = FST()\n", "a.AddString(\"and\",1)\n", "a.AddString(\"another\",2)\n", "a.AddString(\"any\",3)\n", "a.AddString(\"around\",4)\n", "a = minimize(a)\n", "show_fst(a)" ] }, { "cell_type": "code", "execution_count": 78, "id": "b84ed54c", "metadata": { "collapsed": false }, "outputs": [], "source": [ "class WfstLanguageModel:\n", " def __init__(self,fst):\n", " self.fst = fst\n", " def cost(self,s):\n", " global composed,shortest\n", " # construct a finite state transducer corresponding to the string\n", " a = FST()\n", " a.AddString(s)\n", " # compose the string model with the language model\n", " composed = FST()\n", " openfst.Compose(a,self.fst,composed)\n", " if composed.NumStates()==0: return inf\n", " # find the shortest path in the composition\n", " shortest = FST()\n", " openfst.ShortestPath(composed,shortest,1)\n", " if shortest.NumStates()==0: return inf\n", " # output the cost\n", " out,cost = label_seq(shortest,full=1)\n", " return cost" ] }, { "cell_type": "code", "execution_count": 79, "id": "179f1a9a", "metadata": { "collapsed": false }, "outputs": [], "source": [ "lm = WfstLanguageModel(a)" ] }, { "cell_type": "code", "execution_count": 80, "id": "04551b9d", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3.0" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm.cost(\"any\")" ] }, { "cell_type": "code", "execution_count": 81, "id": "2a671bef", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "inf" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm.cost(\"foo\")" ] }, { "cell_type": "markdown", "id": "e24cc037", "metadata": {}, "source": [ "The real power from these kinds of language models derives from the fact that we can actually test multiple recognition hypotheses at the same time." ] }, { "cell_type": "markdown", "id": "cf1c9a55", "metadata": {}, "source": [ "Assume that for some input, a recognizer (OCR engine etc.) generated two hypotheses with\n", "different costs: \"ary\" and \"any\".\n", "These hypothese are put into an WFST (how that happens depends on the recognizer).\n", "\n", "We call the resulting FST a *hypothesis graph* or a *recognition lattice*." ] }, { "cell_type": "code", "execution_count": 82, "id": "53b35e94", "metadata": { "collapsed": false }, "outputs": [], "source": [ "hypotheses = FST()\n", "hypotheses.AddString(\"ary\",0.3)\n", "hypotheses.AddString(\"any\",1.7)" ] }, { "cell_type": "markdown", "id": "9deac049", "metadata": {}, "source": [ "We now compose the recognition lattice with the language model,\n", "and we get out the optimal answer that is compatible with the language model." ] }, { "cell_type": "code", "execution_count": 83, "id": "092a6dfb", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(['a', 'n', 'y'], 4.700000047683716)" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "composed = FST()\n", "openfst.Compose(hypotheses,lm.fst,composed)\n", "shortest = FST()\n", "openfst.ShortestPath(composed,shortest,1)\n", "label_seq(shortest,full=1)" ] }, { "cell_type": "code", "execution_count": 83, "id": "7584f03d", "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }