| 1 | #include <iostream> |
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| 2 | |
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| 3 | #include <lemon/list_graph.h> |
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| 4 | #include <lemon/dimacs.h> |
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| 5 | #include <max_flow.h> |
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| 6 | #include <max_flow_no_stack.h> |
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| 7 | #include <lemon/time_measure.h> |
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| 8 | |
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| 9 | using namespace lemon; |
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| 10 | |
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| 11 | int main(int, char **) { |
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| 12 | |
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| 13 | typedef ListGraph Graph; |
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| 14 | |
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| 15 | typedef Graph::Node Node; |
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| 16 | typedef Graph::EdgeIt EdgeIt; |
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| 17 | |
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| 18 | Graph G; |
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| 19 | Node s, t; |
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| 20 | Graph::EdgeMap<int> cap(G); |
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| 21 | readDimacs(std::cin, G, cap, s, t); |
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| 22 | Timer ts; |
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| 23 | |
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| 24 | std::cout << |
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| 25 | "\n Running max_flow.h on a graph with " << |
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| 26 | G.nodeNum() << " nodes and " << G.edgeNum() << " edges..." |
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| 27 | << std::endl<<std::endl; |
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| 28 | |
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| 29 | Graph::EdgeMap<int> flowstack(G,0); |
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| 30 | MaxFlow<Graph, int> max_flow_test(G, s, t, cap, flowstack); |
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| 31 | ts.reset(); |
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| 32 | max_flow_test.run(); |
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| 33 | std::cout << "Elapsed time of run() with stl stack: " << std::endl |
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| 34 | <<ts << std::endl; |
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| 35 | |
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| 36 | Graph::EdgeMap<int> flow(G,0); |
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| 37 | MaxFlowNoStack<Graph, int> max_flow_test_no_stack(G, s, t, cap, flow); |
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| 38 | ts.reset(); |
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| 39 | max_flow_test_no_stack.run(); |
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| 40 | std::cout << "Elapsed time of run() without stack: " << std::endl |
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| 41 | <<ts << std::endl; |
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| 42 | |
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| 43 | Graph::NodeMap<bool> mincut(G); |
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| 44 | max_flow_test_no_stack.minMinCut(mincut); |
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| 45 | int min_min_cut_value=0; |
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| 46 | EdgeIt e; |
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| 47 | for(G.first(e); G.valid(e); G.next(e)) { |
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| 48 | if (mincut[G.source(e)] && !mincut[G.target(e)]) min_min_cut_value+=cap[e]; |
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| 49 | } |
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| 50 | |
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| 51 | Graph::NodeMap<bool> cut(G); |
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| 52 | max_flow_test_no_stack.minCut(cut); |
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| 53 | int 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 (cut[G.source(e)] && !cut[G.target(e)]) |
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| 56 | min_cut_value+=cap[e]; |
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| 57 | } |
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| 58 | |
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| 59 | Graph::NodeMap<bool> maxcut(G); |
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| 60 | max_flow_test_no_stack.maxMinCut(maxcut); |
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| 61 | int max_min_cut_value=0; |
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| 62 | for(G.first(e); G.valid(e); G.next(e)) { |
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| 63 | if (maxcut[G.source(e)] && !maxcut[G.target(e)]) |
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| 64 | max_min_cut_value+=cap[e]; |
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| 65 | } |
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| 66 | |
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| 67 | std::cout << "\n Checking the result without stack: " <<std::endl; |
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| 68 | std::cout << "Flow value: "<< max_flow_test_no_stack.flowValue() << std::endl; |
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| 69 | std::cout << "Min cut value: "<< min_cut_value << std::endl; |
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| 70 | std::cout << "Min min cut value: "<< min_min_cut_value << std::endl; |
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| 71 | std::cout << "Max min cut value: "<< max_min_cut_value << |
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| 72 | std::endl; |
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| 73 | |
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| 74 | if ( max_flow_test_no_stack.flowValue() == min_cut_value && |
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| 75 | min_cut_value == min_min_cut_value && |
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| 76 | min_min_cut_value == max_min_cut_value ) |
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| 77 | std::cout << "They are equal! " <<std::endl<< std::endl<<"\n"; |
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| 78 | |
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| 79 | /* |
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| 80 | |
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| 81 | Graph::EdgeMap<int> flow2(G,0); |
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| 82 | std::cout << "Calling resetFlow() " << std::endl |
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| 83 | << ts << std::endl; |
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| 84 | max_flow_test.setFlow(flow2); |
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| 85 | ts.reset(); |
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| 86 | max_flow_test.preflow(max_flow_test.PRE_FLOW); |
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| 87 | std::cout << "Elapsed time of preflow(PRE_FLOW) starting from the zero flow: " << std::endl |
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| 88 | << ts << std::endl; |
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| 89 | |
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| 90 | Graph::NodeMap<bool> mincut2(G); |
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| 91 | max_flow_test.minMinCut(mincut2); |
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| 92 | int min_min_cut_value2=0; |
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| 93 | for(G.first(e); G.valid(e); G.next(e)) { |
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| 94 | if (mincut2[G.source(e)] && !mincut2[G.target(e)]) min_min_cut_value2+=cap[e]; |
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| 95 | } |
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| 96 | |
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| 97 | Graph::NodeMap<bool> cut2(G); |
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| 98 | max_flow_test.minCut(cut2); |
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| 99 | int 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 (cut2[G.source(e)] && !cut2[G.target(e)]) |
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| 102 | min_cut_value2+=cap[e]; |
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| 103 | } |
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| 104 | |
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| 105 | Graph::NodeMap<bool> maxcut2(G); |
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| 106 | max_flow_test.maxMinCut(maxcut2); |
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| 107 | int max_min_cut_value2=0; |
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| 108 | for(G.first(e); G.valid(e); G.next(e)) { |
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| 109 | if (maxcut2[G.source(e)] && !maxcut2[G.target(e)]) |
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| 110 | max_min_cut_value2+=cap[e]; |
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| 111 | } |
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| 112 | |
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| 113 | std::cout << "\n Checking the result: " <<std::endl; |
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| 114 | std::cout << "Flow value: "<< max_flow_test.flowValue() << std::endl; |
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| 115 | std::cout << "Min cut value: "<< min_cut_value2 << std::endl; |
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| 116 | std::cout << "Min min cut value: "<< min_min_cut_value2 << std::endl; |
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| 117 | std::cout << "Max min cut value: "<< max_min_cut_value2 << |
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| 118 | std::endl; |
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| 119 | if ( max_flow_test.flowValue() == min_cut_value && |
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| 120 | min_cut_value == min_min_cut_value && |
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| 121 | min_min_cut_value == max_min_cut_value ) |
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| 122 | std::cout << "They are equal! " <<std::endl; |
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| 123 | |
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| 124 | |
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| 125 | MaxFlow<Graph, int> max_flow_test3(G, s, t, cap, flow2); |
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| 126 | max_flow_test3.run(max_flow_test3.GEN_FLOW); |
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| 127 | std::cout << "Calling run(GEN_FLOW) from the max flow found before. " <<std::endl; |
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| 128 | |
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| 129 | Graph::NodeMap<bool> mincut3(G); |
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| 130 | max_flow_test3.minMinCut(mincut3); |
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| 131 | int min_min_cut_value3=0; |
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| 132 | for(G.first(e); G.valid(e); G.next(e)) { |
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| 133 | if (mincut3[G.source(e)] && !mincut3[G.target(e)]) min_min_cut_value3+=cap[e]; |
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| 134 | } |
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| 135 | |
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| 136 | Graph::NodeMap<bool> cut3(G); |
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| 137 | max_flow_test3.minCut(cut3); |
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| 138 | int 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 (cut3[G.source(e)] && !cut3[G.target(e)]) |
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| 141 | min_cut_value3+=cap[e]; |
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| 142 | } |
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| 143 | |
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| 144 | Graph::NodeMap<bool> maxcut3(G); |
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| 145 | max_flow_test3.maxMinCut(maxcut3); |
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| 146 | int max_min_cut_value3=0; |
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| 147 | for(G.first(e); G.valid(e); G.next(e)) { |
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| 148 | if (maxcut3[G.source(e)] && !maxcut3[G.target(e)]) |
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| 149 | max_min_cut_value3+=cap[e]; |
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| 150 | } |
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| 151 | |
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| 152 | std::cout << "\n Checking the result: " <<std::endl; |
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| 153 | std::cout << "Flow value: "<< max_flow_test3.flowValue() << std::endl; |
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| 154 | std::cout << "Min cut value: "<< min_cut_value3 << std::endl; |
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| 155 | std::cout << "Min min cut value: "<< min_min_cut_value3 << std::endl; |
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| 156 | std::cout << "Max min cut value: "<< max_min_cut_value3 << |
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| 157 | std::endl; |
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| 158 | |
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| 159 | if ( max_flow_test3.flowValue() == min_cut_value3 && |
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| 160 | min_cut_value3 == min_min_cut_value3 && |
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| 161 | min_min_cut_value3 == max_min_cut_value3 ) |
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| 162 | std::cout << "They are equal! " <<std::endl<< std::endl<<"\n"; |
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| 163 | */ |
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| 164 | |
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| 165 | return 0; |
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| 166 | } |
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