1 | #include <cstdlib> |
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2 | #include <iostream> |
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3 | #include <sstream> |
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4 | |
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5 | #include <lemon/smart_graph.h> |
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6 | |
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7 | #include <lemon/bpugraph_adaptor.h> |
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8 | #include <lemon/bipartite_matching.h> |
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9 | |
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10 | #include <lemon/graph_utils.h> |
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11 | |
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12 | #include <lemon/maps.h> |
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13 | |
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14 | #include "test_tools.h" |
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15 | |
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16 | using namespace std; |
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17 | using namespace lemon; |
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18 | |
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19 | typedef SmartBpUGraph Graph; |
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20 | BPUGRAPH_TYPEDEFS(Graph); |
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21 | |
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22 | const int N = 10; |
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23 | const int M = 10; |
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24 | const int E = 52; |
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25 | const int C = 100; |
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26 | |
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27 | const int sa[E] = { 6, 5, 6, 4, 1, 0, 9, 5, 2, 4, 4, 3, 5, |
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28 | 2, 3, 8, 3, 4, 9, 6, 9, 4, 3, 1, 5, 8, |
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29 | 4, 8, 9, 2, 2, 3, 0, 5, 2, 3, 6, 3, 8, |
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30 | 8, 4, 0, 9, 9, 6, 2, 1, 2, 7, 1, 9, 4}; |
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31 | |
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32 | const int ta[E] = { 2, 7, 4, 8, 6, 3, 4, 1, 7, 7, 0, 1, 6, |
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33 | 3, 2, 6, 8, 3, 5, 6, 3, 1, 8, 7, 2, 0, |
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34 | 6, 9, 6, 7, 8, 3, 3, 4, 5, 8, 6, 4, 1, |
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35 | 4, 3, 3, 8, 7, 7, 3, 7, 7, 3, 5, 1, 6}; |
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36 | |
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37 | const int wa[E] = { 3, 99, 85, 16, 79, 52, 83, 99, 62, 6, 42, 6, 95, |
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38 | 13, 34, 9, 5, 38, 39, 75, 99, 12, 73, 35, 93, 43, |
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39 | 54, 91, 45, 26, 77, 47, 11, 22, 50, 74, 37, 64, 91, |
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40 | 60, 6, 92, 29, 46, 34, 84, 67, 34, 45, 0, 39, 47}; |
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41 | |
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42 | |
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43 | int main() { |
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44 | Graph graph; |
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45 | vector<Node> aNodes; |
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46 | vector<Node> bNodes; |
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47 | |
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48 | Graph::UEdgeMap<int> weight(graph); |
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49 | |
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50 | int max_cardinality; |
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51 | int max_weight; |
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52 | int max_cardinality_max_weight; |
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53 | int min_cost_matching; |
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54 | |
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55 | for (int i = 0; i < N; ++i) { |
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56 | Node node = graph.addANode(); |
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57 | aNodes.push_back(node); |
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58 | } |
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59 | for (int i = 0; i < M; ++i) { |
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60 | Node node = graph.addBNode(); |
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61 | bNodes.push_back(node); |
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62 | } |
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63 | for (int i = 0; i < E; ++i) { |
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64 | Node aNode = aNodes[sa[i]]; |
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65 | Node bNode = bNodes[ta[i]]; |
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66 | UEdge uedge = graph.addEdge(aNode, bNode); |
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67 | weight[uedge] = wa[i]; |
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68 | } |
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69 | |
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70 | |
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71 | { |
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72 | MaxBipartiteMatching<Graph> bpmatch(graph); |
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73 | |
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74 | bpmatch.run(); |
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75 | |
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76 | Graph::UEdgeMap<bool> mm(graph); |
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77 | Graph::NodeMap<bool> cs(graph); |
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78 | |
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79 | check(bpmatch.coverSet(cs) == bpmatch.matching(mm), "INVALID PRIMAL-DUAL"); |
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80 | |
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81 | for (UEdgeIt it(graph); it != INVALID; ++it) { |
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82 | check(cs[graph.aNode(it)] || cs[graph.bNode(it)], "INVALID DUAL"); |
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83 | } |
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84 | |
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85 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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86 | int num = 0; |
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87 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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88 | if (mm[jt]) ++num; |
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89 | } |
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90 | check(num <= 1, "INVALID PRIMAL"); |
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91 | } |
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92 | max_cardinality = bpmatch.matchingSize(); |
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93 | } |
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94 | |
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95 | { |
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96 | Graph::UEdgeMap<bool> mm(graph); |
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97 | |
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98 | check(max_cardinality == maxBipartiteMatching(graph, mm), |
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99 | "WRONG MATCHING"); |
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100 | |
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101 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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102 | int num = 0; |
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103 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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104 | if (mm[jt]) ++num; |
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105 | } |
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106 | check(num <= 1, "INVALID PRIMAL"); |
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107 | } |
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108 | } |
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109 | |
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110 | { |
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111 | MaxBipartiteMatching<Graph> bpmatch(graph); |
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112 | |
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113 | bpmatch.greedyInit(); |
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114 | bpmatch.start(); |
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115 | |
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116 | Graph::UEdgeMap<bool> mm(graph); |
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117 | Graph::NodeMap<bool> cs(graph); |
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118 | |
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119 | check(bpmatch.coverSet(cs) == bpmatch.matching(mm), "INVALID PRIMAL-DUAL"); |
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120 | |
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121 | for (UEdgeIt it(graph); it != INVALID; ++it) { |
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122 | check(cs[graph.aNode(it)] || cs[graph.bNode(it)], "INVALID DUAL"); |
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123 | } |
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124 | |
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125 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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126 | int num = 0; |
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127 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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128 | if (mm[jt]) ++num; |
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129 | } |
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130 | check(num <= 1, "INVALID PRIMAL"); |
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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 | MaxBipartiteMatching<Graph> bpmatch(graph); |
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136 | |
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137 | bpmatch.greedyInit(); |
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138 | while (bpmatch.simpleAugment()); |
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139 | |
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140 | Graph::UEdgeMap<bool> mm(graph); |
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141 | Graph::NodeMap<bool> cs(graph); |
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142 | |
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143 | check(bpmatch.coverSet(cs) == bpmatch.matching(mm), "INVALID PRIMAL-DUAL"); |
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144 | |
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145 | for (UEdgeIt it(graph); it != INVALID; ++it) { |
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146 | check(cs[graph.aNode(it)] || cs[graph.bNode(it)], "INVALID DUAL"); |
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147 | } |
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148 | |
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149 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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150 | int num = 0; |
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151 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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152 | if (mm[jt]) ++num; |
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153 | } |
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154 | check(num <= 1, "INVALID PRIMAL"); |
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155 | } |
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156 | } |
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157 | |
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158 | { |
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159 | MaxWeightedBipartiteMatching<Graph> bpmatch(graph, weight); |
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160 | |
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161 | bpmatch.init(); |
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162 | |
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163 | max_weight = 0; |
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164 | while (bpmatch.augment(true)) { |
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165 | |
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166 | Graph::UEdgeMap<bool> mm(graph); |
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167 | Graph::NodeMap<int> pm(graph); |
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168 | |
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169 | bpmatch.matching(mm); |
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170 | bpmatch.potential(pm); |
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171 | |
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172 | for (UEdgeIt it(graph); it != INVALID; ++it) { |
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173 | if (mm[it]) { |
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174 | check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] == 0, |
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175 | "INVALID DUAL"); |
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176 | } else { |
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177 | check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] >= 0, |
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178 | "INVALID DUAL"); |
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179 | } |
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180 | } |
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181 | |
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182 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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183 | int num = 0; |
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184 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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185 | if (mm[jt]) ++num; |
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186 | } |
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187 | check(num <= 1, "INVALID PRIMAL"); |
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188 | } |
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189 | if (bpmatch.matchingValue() > max_weight) { |
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190 | max_weight = bpmatch.matchingValue(); |
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191 | } |
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192 | } |
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193 | } |
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194 | |
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195 | { |
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196 | Graph::UEdgeMap<bool> mm(graph); |
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197 | |
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198 | check(max_weight == maxWeightedBipartiteMatching(graph, weight, mm), |
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199 | "WRONG MATCHING"); |
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200 | |
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201 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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202 | int num = 0; |
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203 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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204 | if (mm[jt]) ++num; |
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205 | } |
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206 | check(num <= 1, "INVALID PRIMAL"); |
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207 | } |
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208 | } |
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209 | |
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210 | { |
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211 | MaxWeightedBipartiteMatching<Graph> bpmatch(graph, weight); |
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212 | |
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213 | bpmatch.run(); |
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214 | |
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215 | Graph::UEdgeMap<bool> mm(graph); |
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216 | Graph::NodeMap<int> pm(graph); |
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217 | |
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218 | bpmatch.matching(mm); |
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219 | bpmatch.potential(pm); |
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220 | |
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221 | for (UEdgeIt it(graph); it != INVALID; ++it) { |
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222 | if (mm[it]) { |
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223 | check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] == 0, |
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224 | "INVALID DUAL"); |
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225 | } else { |
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226 | check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] >= 0, |
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227 | "INVALID DUAL"); |
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228 | } |
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229 | } |
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230 | |
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231 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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232 | int num = 0; |
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233 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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234 | if (mm[jt]) ++num; |
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235 | } |
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236 | check(num <= 1, "INVALID PRIMAL"); |
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237 | } |
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238 | check(max_weight == bpmatch.matchingValue(), "WRONG WEIGHT"); |
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239 | } |
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240 | |
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241 | { |
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242 | MaxWeightedBipartiteMatching<Graph> bpmatch(graph, weight); |
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243 | |
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244 | bpmatch.run(true); |
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245 | |
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246 | Graph::UEdgeMap<bool> mm(graph); |
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247 | Graph::NodeMap<int> pm(graph); |
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248 | |
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249 | bpmatch.matching(mm); |
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250 | bpmatch.potential(pm); |
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251 | |
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252 | for (UEdgeIt it(graph); it != INVALID; ++it) { |
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253 | if (mm[it]) { |
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254 | check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] == 0, |
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255 | "INVALID DUAL"); |
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256 | } else { |
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257 | check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] >= 0, |
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258 | "INVALID DUAL"); |
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259 | } |
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260 | } |
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261 | |
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262 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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263 | int num = 0; |
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264 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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265 | if (mm[jt]) ++num; |
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266 | } |
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267 | check(num <= 1, "INVALID PRIMAL"); |
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268 | } |
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269 | check(max_cardinality == bpmatch.matchingSize(), "WRONG SIZE"); |
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270 | max_cardinality_max_weight = bpmatch.matchingValue(); |
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271 | |
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272 | } |
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273 | |
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274 | { |
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275 | Graph::UEdgeMap<bool> mm(graph); |
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276 | |
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277 | check(max_cardinality_max_weight == |
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278 | maxWeightedMaxBipartiteMatching(graph, weight, mm), |
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279 | "WRONG MATCHING"); |
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280 | |
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281 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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282 | int num = 0; |
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283 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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284 | if (mm[jt]) ++num; |
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285 | } |
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286 | check(num <= 1, "INVALID PRIMAL"); |
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287 | } |
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288 | } |
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289 | |
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290 | Graph::UEdgeMap<int> cost(graph); |
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291 | cost = subMap(constMap<UEdge>(C), weight); |
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292 | { |
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293 | |
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294 | MinCostMaxBipartiteMatching<Graph> bpmatch(graph, cost); |
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295 | |
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296 | bpmatch.run(); |
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297 | |
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298 | Graph::UEdgeMap<bool> mm(graph); |
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299 | Graph::NodeMap<int> pm(graph); |
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300 | |
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301 | bpmatch.matching(mm); |
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302 | bpmatch.potential(pm); |
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303 | |
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304 | min_cost_matching = bpmatch.matchingCost(); |
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305 | check(max_cardinality == bpmatch.matchingSize(), "WRONG SIZE"); |
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306 | check(max_cardinality * C - max_cardinality_max_weight |
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307 | == bpmatch.matchingCost(), "WRONG SIZE"); |
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308 | |
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309 | for (UEdgeIt it(graph); it != INVALID; ++it) { |
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310 | if (mm[it]) { |
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311 | check(pm[graph.aNode(it)] + cost[it] - pm[graph.bNode(it)] == 0, |
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312 | "INVALID DUAL"); |
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313 | } else { |
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314 | check(pm[graph.aNode(it)] + cost[it] - pm[graph.bNode(it)] >= 0, |
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315 | "INVALID DUAL"); |
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316 | } |
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317 | } |
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318 | |
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319 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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320 | int num = 0; |
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321 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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322 | if (mm[jt]) ++num; |
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323 | } |
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324 | check(num <= 1, "INVALID PRIMAL"); |
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325 | } |
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326 | |
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327 | min_cost_matching = bpmatch.matchingCost(); |
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328 | check(max_cardinality == bpmatch.matchingSize(), "WRONG SIZE"); |
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329 | check(max_cardinality * C - max_cardinality_max_weight |
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330 | == bpmatch.matchingCost(), "WRONG SIZE"); |
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331 | |
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332 | } |
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333 | |
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334 | { |
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335 | Graph::UEdgeMap<bool> mm(graph); |
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336 | |
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337 | check(min_cost_matching == |
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338 | minCostMaxBipartiteMatching(graph, cost, mm), |
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339 | "WRONG MATCHING"); |
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340 | |
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341 | for (ANodeIt it(graph); it != INVALID; ++it) { |
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342 | int num = 0; |
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343 | for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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344 | if (mm[jt]) ++num; |
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345 | } |
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346 | check(num <= 1, "INVALID PRIMAL"); |
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347 | } |
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348 | } |
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349 | |
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350 | return 0; |
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351 | } |
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