1 | #include <iostream> |
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2 | |
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3 | #include <list_graph.h> |
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4 | #include <dimacs.h> |
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5 | #include <max_flow.h> |
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6 | #include <time_measure.h> |
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7 | |
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8 | using namespace hugo; |
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9 | |
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10 | int main(int, char **) { |
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11 | |
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12 | typedef ListGraph Graph; |
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13 | |
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14 | typedef Graph::Node Node; |
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15 | typedef Graph::EdgeIt EdgeIt; |
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16 | |
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17 | Graph G; |
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18 | Node s, t; |
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19 | Graph::EdgeMap<int> cap(G); |
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20 | readDimacs(std::cin, G, cap, s, t); |
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21 | Timer ts; |
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22 | |
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23 | std::cout << |
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24 | "\n Running max_flow.h on a graph with " << |
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25 | G.nodeNum() << " nodes and " << G.edgeNum() << " edges..." |
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26 | << std::endl<<std::endl; |
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27 | |
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28 | Graph::EdgeMap<int> flow(G,0); |
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29 | MaxFlow<Graph, int> max_flow_test(G, s, t, cap, flow); |
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30 | ts.reset(); |
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31 | max_flow_test.run(); |
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32 | std::cout << "Elapsed time of run(): " << std::endl |
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33 | <<ts << std::endl; |
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34 | |
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35 | Graph::NodeMap<bool> mincut(G); |
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36 | max_flow_test.minMinCut(mincut); |
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37 | int min_min_cut_value=0; |
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38 | EdgeIt e; |
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39 | for(G.first(e); G.valid(e); G.next(e)) { |
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40 | if (mincut[G.tail(e)] && !mincut[G.head(e)]) min_min_cut_value+=cap[e]; |
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41 | } |
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42 | |
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43 | Graph::NodeMap<bool> cut(G); |
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44 | max_flow_test.minCut(cut); |
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45 | int min_cut_value=0; |
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46 | for(G.first(e); G.valid(e); G.next(e)) { |
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47 | if (cut[G.tail(e)] && !cut[G.head(e)]) |
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48 | min_cut_value+=cap[e]; |
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49 | } |
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50 | |
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51 | Graph::NodeMap<bool> maxcut(G); |
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52 | max_flow_test.maxMinCut(maxcut); |
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53 | int max_min_cut_value=0; |
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54 | for(G.first(e); G.valid(e); G.next(e)) { |
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55 | if (maxcut[G.tail(e)] && !maxcut[G.head(e)]) |
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56 | max_min_cut_value+=cap[e]; |
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57 | } |
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58 | |
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59 | std::cout << "\n Checking the result: " <<std::endl; |
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60 | std::cout << "Flow value: "<< max_flow_test.flowValue() << std::endl; |
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61 | std::cout << "Min cut value: "<< min_cut_value << std::endl; |
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62 | std::cout << "Min min cut value: "<< min_min_cut_value << std::endl; |
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63 | std::cout << "Max min cut value: "<< max_min_cut_value << |
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64 | std::endl; |
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65 | |
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66 | if ( max_flow_test.flowValue() == min_cut_value && |
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67 | min_cut_value == min_min_cut_value && |
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68 | min_min_cut_value == max_min_cut_value ) |
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69 | std::cout << "They are equal! " <<std::endl<< std::endl<<"\n"; |
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70 | |
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71 | |
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72 | |
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73 | Graph::EdgeMap<int> flow2(G,0); |
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74 | std::cout << "Calling resetFlow() " << std::endl |
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75 | << ts << std::endl; |
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76 | max_flow_test.resetFlow(flow2); |
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77 | ts.reset(); |
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78 | max_flow_test.preflow(max_flow_test.PRE_FLOW); |
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79 | std::cout << "Elapsed time of preflow(PRE_FLOW) starting from the zero flow: " << std::endl |
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80 | << ts << std::endl; |
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81 | |
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82 | Graph::NodeMap<bool> mincut2(G); |
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83 | max_flow_test.minMinCut(mincut2); |
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84 | int min_min_cut_value2=0; |
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85 | for(G.first(e); G.valid(e); G.next(e)) { |
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86 | if (mincut2[G.tail(e)] && !mincut2[G.head(e)]) min_min_cut_value2+=cap[e]; |
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87 | } |
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88 | |
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89 | Graph::NodeMap<bool> cut2(G); |
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90 | max_flow_test.minCut(cut2); |
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91 | int min_cut_value2=0; |
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92 | for(G.first(e); G.valid(e); G.next(e)) { |
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93 | if (cut2[G.tail(e)] && !cut2[G.head(e)]) |
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94 | min_cut_value2+=cap[e]; |
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95 | } |
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96 | |
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97 | Graph::NodeMap<bool> maxcut2(G); |
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98 | max_flow_test.maxMinCut(maxcut2); |
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99 | int max_min_cut_value2=0; |
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100 | for(G.first(e); G.valid(e); G.next(e)) { |
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101 | if (maxcut2[G.tail(e)] && !maxcut2[G.head(e)]) |
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102 | max_min_cut_value2+=cap[e]; |
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103 | } |
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104 | |
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105 | std::cout << "\n Checking the result: " <<std::endl; |
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106 | std::cout << "Flow value: "<< max_flow_test.flowValue() << std::endl; |
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107 | std::cout << "Min cut value: "<< min_cut_value2 << std::endl; |
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108 | std::cout << "Min min cut value: "<< min_min_cut_value2 << std::endl; |
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109 | std::cout << "Max min cut value: "<< max_min_cut_value2 << |
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110 | std::endl; |
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111 | if ( max_flow_test.flowValue() == min_cut_value && |
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112 | min_cut_value == min_min_cut_value && |
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113 | min_min_cut_value == max_min_cut_value ) |
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114 | std::cout << "They are equal! " <<std::endl; |
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115 | |
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116 | |
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117 | MaxFlow<Graph, int> max_flow_test3(G, s, t, cap, flow2); |
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118 | max_flow_test3.run(max_flow_test3.GEN_FLOW); |
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119 | std::cout << "Calling run(GEN_FLOW) from the max flow found before. " <<std::endl; |
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120 | |
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121 | Graph::NodeMap<bool> mincut3(G); |
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122 | max_flow_test3.minMinCut(mincut3); |
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123 | int min_min_cut_value3=0; |
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124 | for(G.first(e); G.valid(e); G.next(e)) { |
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125 | if (mincut3[G.tail(e)] && !mincut3[G.head(e)]) min_min_cut_value3+=cap[e]; |
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126 | } |
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127 | |
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128 | Graph::NodeMap<bool> cut3(G); |
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129 | max_flow_test3.minCut(cut3); |
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130 | int min_cut_value3=0; |
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131 | for(G.first(e); G.valid(e); G.next(e)) { |
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132 | if (cut3[G.tail(e)] && !cut3[G.head(e)]) |
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133 | min_cut_value3+=cap[e]; |
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134 | } |
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135 | |
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136 | Graph::NodeMap<bool> maxcut3(G); |
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137 | max_flow_test3.maxMinCut(maxcut3); |
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138 | int max_min_cut_value3=0; |
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139 | for(G.first(e); G.valid(e); G.next(e)) { |
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140 | if (maxcut3[G.tail(e)] && !maxcut3[G.head(e)]) |
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141 | max_min_cut_value3+=cap[e]; |
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142 | } |
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143 | |
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144 | std::cout << "\n Checking the result: " <<std::endl; |
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145 | std::cout << "Flow value: "<< max_flow_test3.flowValue() << std::endl; |
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146 | std::cout << "Min cut value: "<< min_cut_value3 << std::endl; |
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147 | std::cout << "Min min cut value: "<< min_min_cut_value3 << std::endl; |
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148 | std::cout << "Max min cut value: "<< max_min_cut_value3 << |
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149 | std::endl; |
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150 | |
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151 | if ( max_flow_test3.flowValue() == min_cut_value3 && |
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152 | min_cut_value3 == min_min_cut_value3 && |
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153 | min_min_cut_value3 == max_min_cut_value3 ) |
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154 | std::cout << "They are equal! " <<std::endl<< std::endl<<"\n"; |
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155 | |
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156 | return 0; |
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157 | } |
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