1 | /* -*- mode: C++; indent-tabs-mode: nil; -*- |
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2 | * |
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3 | * This file is a part of LEMON, a generic C++ optimization library. |
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4 | * |
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5 | * Copyright (C) 2003-2009 |
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6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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8 | * |
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9 | * Permission to use, modify and distribute this software is granted |
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10 | * provided that this copyright notice appears in all copies. For |
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11 | * precise terms see the accompanying LICENSE file. |
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12 | * |
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13 | * This software is provided "AS IS" with no warranty of any kind, |
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14 | * express or implied, and with no claim as to its suitability for any |
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15 | * purpose. |
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16 | * |
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17 | */ |
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18 | |
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19 | ///\ingroup concept |
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20 | ///\file |
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21 | ///\brief The concept of heaps. |
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22 | |
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23 | #ifndef LEMON_CONCEPTS_HEAP_H |
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24 | #define LEMON_CONCEPTS_HEAP_H |
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25 | |
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26 | #include <lemon/core.h> |
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27 | #include <lemon/concept_check.h> |
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28 | |
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29 | namespace lemon { |
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30 | |
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31 | namespace concepts { |
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32 | |
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33 | /// \addtogroup concept |
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34 | /// @{ |
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35 | |
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36 | /// \brief The heap concept. |
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37 | /// |
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38 | /// Concept class describing the main interface of heaps. A \e heap |
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39 | /// is a data structure for storing items with specified values called |
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40 | /// \e priorities in such a way that finding the item with minimum |
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41 | /// priority is efficient. In a heap one can change the priority of an |
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42 | /// item, add or erase an item, etc. |
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43 | /// |
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44 | /// \tparam PR Type of the priority of the items. |
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45 | /// \tparam IM A read and writable item map with int values, used |
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46 | /// internally to handle the cross references. |
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47 | /// \tparam Comp A functor class for the ordering of the priorities. |
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48 | /// The default is \c std::less<PR>. |
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49 | #ifdef DOXYGEN |
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50 | template <typename PR, typename IM, typename Comp = std::less<PR> > |
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51 | #else |
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52 | template <typename PR, typename IM> |
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53 | #endif |
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54 | class Heap { |
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55 | public: |
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56 | |
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57 | /// Type of the item-int map. |
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58 | typedef IM ItemIntMap; |
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59 | /// Type of the priorities. |
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60 | typedef PR Prio; |
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61 | /// Type of the items stored in the heap. |
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62 | typedef typename ItemIntMap::Key Item; |
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63 | |
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64 | /// \brief Type to represent the states of the items. |
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65 | /// |
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66 | /// Each item has a state associated to it. It can be "in heap", |
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67 | /// "pre heap" or "post heap". The later two are indifferent |
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68 | /// from the point of view of the heap, but may be useful for |
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69 | /// the user. |
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70 | /// |
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71 | /// The item-int map must be initialized in such way that it assigns |
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72 | /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
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73 | enum State { |
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74 | IN_HEAP = 0, ///< = 0. The "in heap" state constant. |
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75 | PRE_HEAP = -1, ///< = -1. The "pre heap" state constant. |
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76 | POST_HEAP = -2 ///< = -2. The "post heap" state constant. |
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77 | }; |
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78 | |
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79 | /// \brief The constructor. |
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80 | /// |
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81 | /// The constructor. |
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82 | /// \param map A map that assigns \c int values to keys of type |
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83 | /// \c Item. It is used internally by the heap implementations to |
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84 | /// handle the cross references. The assigned value must be |
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85 | /// \c PRE_HEAP (<tt>-1</tt>) for every item. |
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86 | explicit Heap(ItemIntMap &map) {} |
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87 | |
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88 | /// \brief The number of items stored in the heap. |
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89 | /// |
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90 | /// Returns the number of items stored in the heap. |
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91 | int size() const { return 0; } |
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92 | |
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93 | /// \brief Checks if the heap is empty. |
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94 | /// |
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95 | /// Returns \c true if the heap is empty. |
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96 | bool empty() const { return false; } |
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97 | |
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98 | /// \brief Makes the heap empty. |
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99 | /// |
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100 | /// Makes the heap empty. |
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101 | void clear(); |
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102 | |
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103 | /// \brief Inserts an item into the heap with the given priority. |
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104 | /// |
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105 | /// Inserts the given item into the heap with the given priority. |
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106 | /// \param i The item to insert. |
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107 | /// \param p The priority of the item. |
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108 | void push(const Item &i, const Prio &p) {} |
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109 | |
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110 | /// \brief Returns the item having minimum priority. |
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111 | /// |
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112 | /// Returns the item having minimum priority. |
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113 | /// \pre The heap must be non-empty. |
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114 | Item top() const {} |
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115 | |
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116 | /// \brief The minimum priority. |
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117 | /// |
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118 | /// Returns the minimum priority. |
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119 | /// \pre The heap must be non-empty. |
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120 | Prio prio() const {} |
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121 | |
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122 | /// \brief Removes the item having minimum priority. |
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123 | /// |
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124 | /// Removes the item having minimum priority. |
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125 | /// \pre The heap must be non-empty. |
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126 | void pop() {} |
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127 | |
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128 | /// \brief Removes an item from the heap. |
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129 | /// |
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130 | /// Removes the given item from the heap if it is already stored. |
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131 | /// \param i The item to delete. |
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132 | void erase(const Item &i) {} |
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133 | |
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134 | /// \brief The priority of an item. |
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135 | /// |
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136 | /// Returns the priority of the given item. |
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137 | /// \param i The item. |
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138 | /// \pre \c i must be in the heap. |
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139 | Prio operator[](const Item &i) const {} |
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140 | |
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141 | /// \brief Sets the priority of an item or inserts it, if it is |
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142 | /// not stored in the heap. |
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143 | /// |
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144 | /// This method sets the priority of the given item if it is |
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145 | /// already stored in the heap. |
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146 | /// Otherwise it inserts the given item with the given priority. |
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147 | /// |
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148 | /// \param i The item. |
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149 | /// \param p The priority. |
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150 | void set(const Item &i, const Prio &p) {} |
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151 | |
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152 | /// \brief Decreases the priority of an item to the given value. |
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153 | /// |
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154 | /// Decreases the priority of an item to the given value. |
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155 | /// \param i The item. |
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156 | /// \param p The priority. |
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157 | /// \pre \c i must be stored in the heap with priority at least \c p. |
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158 | void decrease(const Item &i, const Prio &p) {} |
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159 | |
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160 | /// \brief Increases the priority of an item to the given value. |
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161 | /// |
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162 | /// Increases the priority of an item to the given value. |
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163 | /// \param i The item. |
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164 | /// \param p The priority. |
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165 | /// \pre \c i must be stored in the heap with priority at most \c p. |
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166 | void increase(const Item &i, const Prio &p) {} |
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167 | |
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168 | /// \brief Returns if an item is in, has already been in, or has |
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169 | /// never been in the heap. |
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170 | /// |
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171 | /// This method returns \c PRE_HEAP if the given item has never |
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172 | /// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
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173 | /// and \c POST_HEAP otherwise. |
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174 | /// In the latter case it is possible that the item will get back |
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175 | /// to the heap again. |
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176 | /// \param i The item. |
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177 | State state(const Item &i) const {} |
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178 | |
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179 | /// \brief Sets the state of an item in the heap. |
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180 | /// |
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181 | /// Sets the state of the given item in the heap. It can be used |
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182 | /// to manually clear the heap when it is important to achive the |
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183 | /// better time complexity. |
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184 | /// \param i The item. |
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185 | /// \param st The state. It should not be \c IN_HEAP. |
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186 | void state(const Item& i, State st) {} |
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187 | |
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188 | |
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189 | template <typename _Heap> |
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190 | struct Constraints { |
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191 | public: |
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192 | void constraints() { |
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193 | typedef typename _Heap::Item OwnItem; |
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194 | typedef typename _Heap::Prio OwnPrio; |
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195 | typedef typename _Heap::State OwnState; |
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196 | |
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197 | Item item; |
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198 | Prio prio; |
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199 | item=Item(); |
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200 | prio=Prio(); |
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201 | ignore_unused_variable_warning(item); |
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202 | ignore_unused_variable_warning(prio); |
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203 | |
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204 | OwnItem own_item; |
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205 | OwnPrio own_prio; |
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206 | OwnState own_state; |
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207 | own_item=Item(); |
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208 | own_prio=Prio(); |
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209 | ignore_unused_variable_warning(own_item); |
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210 | ignore_unused_variable_warning(own_prio); |
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211 | ignore_unused_variable_warning(own_state); |
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212 | |
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213 | _Heap heap1(map); |
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214 | _Heap heap2 = heap1; |
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215 | ignore_unused_variable_warning(heap1); |
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216 | ignore_unused_variable_warning(heap2); |
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217 | |
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218 | int s = heap.size(); |
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219 | ignore_unused_variable_warning(s); |
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220 | bool e = heap.empty(); |
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221 | ignore_unused_variable_warning(e); |
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222 | |
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223 | prio = heap.prio(); |
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224 | item = heap.top(); |
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225 | prio = heap[item]; |
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226 | own_prio = heap.prio(); |
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227 | own_item = heap.top(); |
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228 | own_prio = heap[own_item]; |
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229 | |
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230 | heap.push(item, prio); |
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231 | heap.push(own_item, own_prio); |
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232 | heap.pop(); |
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233 | |
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234 | heap.set(item, prio); |
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235 | heap.decrease(item, prio); |
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236 | heap.increase(item, prio); |
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237 | heap.set(own_item, own_prio); |
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238 | heap.decrease(own_item, own_prio); |
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239 | heap.increase(own_item, own_prio); |
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240 | |
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241 | heap.erase(item); |
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242 | heap.erase(own_item); |
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243 | heap.clear(); |
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244 | |
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245 | own_state = heap.state(own_item); |
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246 | heap.state(own_item, own_state); |
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247 | |
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248 | own_state = _Heap::PRE_HEAP; |
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249 | own_state = _Heap::IN_HEAP; |
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250 | own_state = _Heap::POST_HEAP; |
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251 | } |
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252 | |
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253 | _Heap& heap; |
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254 | ItemIntMap& map; |
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255 | }; |
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256 | }; |
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257 | |
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258 | /// @} |
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259 | } // namespace lemon |
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260 | } |
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261 | #endif |
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