1 | using System;
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2 | using System.Collections.Generic;
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3 | using System.Diagnostics;
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4 | using System.Linq;
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5 | using System.Runtime.InteropServices;
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6 | using System.Runtime.Remoting.Messaging;
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7 | using System.Text;
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8 | using System.Text.RegularExpressions;
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9 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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10 |
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11 | namespace HeuristicLab.Problems.GrammaticalOptimization {
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12 | public class SantaFeAntProblem : ISymbolicExpressionTreeProblem {
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13 | private const string grammarString = @"
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14 | G(A):
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15 | A -> l | r | m | ?(A)(A) | lA | rA | mA |?(A)(A)A
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16 | ";
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17 | // for tree-based GP in HL we need a different grammar for the same language
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18 | // A = Ant, P = Prog2 and Prog3, I = IfFoodAhead
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19 | private const string hlGrammarString = @"
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20 | G(A):
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21 | A -> l | r | m | P | I
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22 | P -> AA | AAA
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23 | I -> AA
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24 | ";
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25 |
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26 |
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27 | // original koza grammar
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28 | // Ant -> left | right | move | if-food-ahead Ant Ant | Ant Ant | Ant Ant Ant
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29 | //
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30 | // here we use a modified grammar which has only one syntax tree for each sentence
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31 |
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32 | public IEnumerable<string> OptimalSentences {
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33 | get {
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34 | return new string[]
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35 | {
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36 | "?(m)(ll?(m)(r))mr",
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37 | "?(m)(rr?(m)(l))ml",
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38 | "r?(m)(ll?(m)(r))m",
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39 | "l?(m)(rr?(m)(l))m",
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40 | "mr?(m)(ll?(m)(r))",
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41 | "ml?(m)(rr?(m)(l))",
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42 | "?(m)(ll?(m)(l))ml",
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43 | "?(m)(rr?(m)(r))mr",
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44 | "l?(m)(ll?(m)(l))m",
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45 | "r?(m)(rr?(m)(r))m",
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46 | "ml?(m)(ll?(m)(l))",
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47 | "mr?(m)(rr?(m)(r))",
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48 | };
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49 | }
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50 | }
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51 |
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52 | private readonly IGrammar grammar;
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53 | public string Name { get { return "SantaFeAnt"; } }
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54 |
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55 | public SantaFeAntProblem() {
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56 | this.grammar = new Grammar(grammarString);
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57 | this.TreeBasedGPGrammar = new Grammar(hlGrammarString);
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58 | }
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59 |
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60 | public double BestKnownQuality(int maxLen) {
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61 | // for now only an upper bound is returned, ideally all food pellets are discovered
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62 | return 89;
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63 | }
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64 |
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65 | public IGrammar Grammar {
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66 | get { return grammar; }
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67 | }
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68 |
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69 | public double Evaluate(string sentence) {
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70 | var ant = new Ant();
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71 | int p = 0;
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72 | Run(ant, sentence, ref p);
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73 | return ant.FoodEaten;
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74 | }
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75 |
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76 | private static void Run(Ant ant, string sentence, ref int p, bool stopAfterFirst = false) {
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77 | while (!ant.Done()) {
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78 | if (p >= sentence.Length) {
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79 | if (stopAfterFirst) return;
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80 | p = 0; // restart
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81 | }
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82 | switch (sentence[p]) {
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83 | case 'r': {
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84 | ant.TurnRight();
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85 | p++;
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86 | break;
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87 | }
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88 | case 'l': {
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89 | ant.TurnLeft();
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90 | p++;
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91 | break;
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92 | }
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93 | case 'm': {
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94 | ant.Move();
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95 | p++;
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96 | break;
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97 | }
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98 | case '?': {
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99 | p++; // skip p
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100 | if (ant.IsFoodAhead()) {
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101 | if (sentence[p] != '(') throw new ArgumentException();
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102 | p++;
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103 | Run(ant, sentence, ref p); // it cannot happen that we run over the the end of the sentence here
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104 | if (ant.Done()) return;
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105 | if (sentence[p] != '(') throw new ArgumentException();
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106 | p++;
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107 | Skip(sentence, ref p);
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108 | } else {
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109 | if (sentence[p] != '(') throw new ArgumentException();
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110 | p++;
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111 | Skip(sentence, ref p);
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112 | if (sentence[p] != '(') throw new ArgumentException();
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113 | p++;
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114 | Run(ant, sentence, ref p); // it cannot happen that we run over the the end of the sentence here
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115 | }
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116 | break;
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117 | }
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118 | case '.': {
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119 | // nop
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120 | p++;
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121 | ant.Nop();
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122 | break;
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123 | }
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124 | case ')': {
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125 | p++; // skip
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126 | return; // caller must continue processing
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127 | }
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128 | default: {
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129 | throw new ArgumentException();
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130 | }
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131 | }
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132 | }
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133 | }
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134 |
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135 | private static void Skip(string sentence, ref int p) {
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136 | int openCount = 1;
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137 | while (openCount > 0) {
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138 | if (sentence[p] == '(') openCount++;
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139 | else if (sentence[p] == ')') openCount--;
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140 | p++;
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141 | }
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142 | }
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143 |
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144 | public string CanonicalRepresentation(string phrase) {
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145 | //phrase = phrase.Replace("A", ".");
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146 | var sb = new StringBuilder(phrase);
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147 | string canonicalPhrase = phrase;
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148 | string oldPhrase;
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149 | do {
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150 | oldPhrase = canonicalPhrase;
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151 | sb.Replace("ll", "rr").Replace("rl", "").Replace("lr", "").Replace("lll", "r").Replace("rrr", "l").Replace("?()()", "");
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152 | //sb.Replace("?(m)(m)", "?()()m").Replace("?(l)(l)", "?()()l").Replace("?(r)(r)", "?()()r");
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153 | canonicalPhrase = sb.ToString();
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154 | } while (canonicalPhrase != oldPhrase);
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155 | return canonicalPhrase;
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156 | }
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157 |
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158 | public IEnumerable<Feature> GetFeatures(string phrase) {
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159 | for (int idx = 0; idx < 15; idx++) {
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160 | foreach (var t in Grammar.TerminalSymbols)
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161 | yield return new Feature(t.ToString(), phrase.Length > idx ? phrase[idx] == t ? 1 : 0 : 0);
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162 | }
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163 | //var ant = new Ant(false);
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164 | //int p = 0;
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165 | //Run(ant, phrase.Replace('A', '.'), ref p, true);
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166 | //yield return new Feature(ant.PosX + "x" + ant.PosY + "-" + ant.Heading, 1.0);
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167 | }
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168 |
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169 | public IGrammar TreeBasedGPGrammar { get; private set; }
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170 | public string ConvertTreeToSentence(ISymbolicExpressionTree tree) {
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171 | var sb = new StringBuilder();
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172 | ConvertTreeToSentence(tree.Root.GetSubtree(0).GetSubtree(0), sb);
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173 | return sb.ToString();
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174 | }
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175 | private void ConvertTreeToSentence(ISymbolicExpressionTreeNode node, StringBuilder sb) {
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176 | if (node.SubtreeCount == 0) {
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177 | // terminal
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178 | sb.Append(node.Symbol.Name);
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179 | } else if (node.Symbol.Name == "I") {
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180 | Debug.Assert(node.SubtreeCount == 2);
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181 | sb.Append("?(");
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182 | ConvertTreeToSentence(node.GetSubtree(0), sb);
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183 | sb.Append(")(");
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184 | ConvertTreeToSentence(node.GetSubtree(1), sb);
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185 | sb.Append(")");
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186 | } else {
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187 | foreach (var subTree in node.Subtrees) { ConvertTreeToSentence(subTree, sb); }
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188 | }
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189 | }
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190 | public bool IsOptimalPhrase(string phrase) {
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191 | var firstNonTerminalIdx = new Sequence(phrase).FirstNonTerminalIndex;
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192 | if (firstNonTerminalIdx == -1) firstNonTerminalIdx = phrase.Length;
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193 | return OptimalSentences.Any(s => s.Substring(0, firstNonTerminalIdx) == phrase.Substring(0, firstNonTerminalIdx));
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194 | }
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195 |
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196 | }
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197 |
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198 | public class Ant {
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199 | private int maxSteps = 600;
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200 | public int MaxSteps { get { return maxSteps; } set { maxSteps = value; } }
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201 | public enum HeadingEnum { North, East, South, West };
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202 | public int FoodEaten { get; private set; }
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203 | private readonly char[][] world = new char[32][];
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204 | private int posX;
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205 | private int posY;
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206 | private int steps;
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207 | private HeadingEnum heading;
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208 | public int PosX { get { return posX; } }
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209 | public int PosY { get { return posY; } }
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210 | public HeadingEnum Heading { get { return heading; } }
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211 | private bool recordTrail = false;
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212 | private StringBuilder trailBuilder;
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213 |
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214 | public string Trail {
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215 | get {
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216 | if (!recordTrail) throw new NotSupportedException();
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217 | else return trailBuilder.ToString() + heading; // add final heading as state
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218 | }
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219 | }
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220 |
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221 | public Ant(bool recordTrail = false) {
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222 | world[00] = " ### ".ToCharArray();
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223 | world[01] = " # ".ToCharArray();
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224 | world[02] = " # .###.. ".ToCharArray();
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225 | world[03] = " # # # ".ToCharArray();
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226 | world[04] = " # # # ".ToCharArray();
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227 | world[05] = " ####.##### .##.. . ".ToCharArray();
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228 | world[06] = " # . # ".ToCharArray();
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229 | world[07] = " # # . ".ToCharArray();
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230 | world[08] = " # # . ".ToCharArray();
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231 | world[09] = " # # # ".ToCharArray();
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232 | world[10] = " . # . ".ToCharArray();
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233 | world[11] = " # . . ".ToCharArray();
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234 | world[12] = " # . # ".ToCharArray();
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235 | world[13] = " # # . ".ToCharArray();
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236 | world[14] = " # # ...###. ".ToCharArray();
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237 | world[15] = " . .#... # ".ToCharArray();
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238 | world[16] = " . . . ".ToCharArray();
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239 | world[17] = " # . . ".ToCharArray();
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240 | world[18] = " # # .#... ".ToCharArray();
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241 | world[19] = " # # # ".ToCharArray();
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242 | world[20] = " # # . ".ToCharArray();
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243 | world[21] = " # # . ".ToCharArray();
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244 | world[22] = " # . ...#. ".ToCharArray();
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245 | world[23] = " # . # ".ToCharArray();
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246 | world[24] = " ..##..#####. # ".ToCharArray();
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247 | world[25] = " # # ".ToCharArray();
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248 | world[26] = " # # ".ToCharArray();
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249 | world[27] = " # .#######.. ".ToCharArray();
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250 | world[28] = " # # ".ToCharArray();
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251 | world[29] = " . # ".ToCharArray();
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252 | world[30] = " .####.. ".ToCharArray();
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253 | world[31] = " ".ToCharArray();
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254 |
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255 | posX = 0;
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256 | posY = 0;
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257 | heading = HeadingEnum.East;
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258 | FoodEaten = 0;
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259 | steps = 0;
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260 |
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261 | this.recordTrail = recordTrail;
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262 | if (this.recordTrail) trailBuilder = new StringBuilder();
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263 | }
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264 |
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265 | public bool Done() {
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266 | return steps > maxSteps;
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267 | }
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268 |
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269 | public void TurnRight() {
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270 | if (steps <= maxSteps) {
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271 | steps++;
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272 | if (heading == HeadingEnum.West) heading = HeadingEnum.North;
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273 | else heading++;
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274 | }
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275 | }
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276 |
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277 | public void TurnLeft() {
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278 | if (steps <= maxSteps) {
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279 | steps++;
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280 | if (heading == HeadingEnum.North) heading = HeadingEnum.West;
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281 | else heading--;
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282 | }
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283 | }
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284 |
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285 | public void Move() {
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286 | if (steps <= maxSteps) {
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287 | steps++;
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288 | MoveInternal(ref posX, ref posY);
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289 | if (world[posY][posX] == '#') {
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290 | FoodEaten++;
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291 | world[posY][posX] = '.';
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292 | }
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293 | if (recordTrail) trailBuilder.Append("m" + posX + "x" + posY); // record position change
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294 | }
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295 | }
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296 |
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297 | public void Nop() {
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298 | // wait one time step
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299 | if (steps <= maxSteps) {
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300 | steps++;
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301 | }
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302 | }
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303 |
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304 | private void MoveInternal(ref int posX, ref int posY) {
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305 | switch (heading) {
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306 | case HeadingEnum.North:
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307 | posY = (posY + 31) % 32;
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308 | break;
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309 | case HeadingEnum.East:
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310 | posX = (posX + 1) % 32;
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311 | break;
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312 | case HeadingEnum.South:
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313 | posY = (posY + 1) % 32;
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314 | break;
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315 | case HeadingEnum.West:
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316 | posX = (posX + 31) % 32;
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317 | break;
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318 | }
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319 | }
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320 |
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321 | public bool IsFoodAhead() {
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322 | int nextPosX = posX;
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323 | int nextPosY = posY;
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324 | MoveInternal(ref nextPosX, ref nextPosY);
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325 |
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326 | if (recordTrail) trailBuilder.Append("?" + nextPosX + "x" + nextPosY); // record check
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327 |
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328 | return world[nextPosY][nextPosX] == '#';
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329 | }
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330 | }
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331 | }
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