[59] | 1 | #ifndef EDMONDS_KARP_HH |
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| 2 | #define EDMONDS_KARP_HH |
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[43] | 3 | |
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| 4 | #include <algorithm> |
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[75] | 5 | #include <list> |
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| 6 | #include <iterator> |
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[43] | 7 | |
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| 8 | #include <bfs_iterator.hh> |
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[133] | 9 | //#include <time_measure.h> |
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[43] | 10 | |
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[107] | 11 | namespace hugo { |
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[43] | 12 | |
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[75] | 13 | template<typename Graph, typename Number, typename FlowMap, typename CapacityMap> |
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[43] | 14 | class ResGraph { |
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[127] | 15 | public: |
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[43] | 16 | typedef typename Graph::NodeIt NodeIt; |
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| 17 | typedef typename Graph::EachNodeIt EachNodeIt; |
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[127] | 18 | private: |
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[43] | 19 | typedef typename Graph::SymEdgeIt OldSymEdgeIt; |
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| 20 | const Graph& G; |
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[59] | 21 | FlowMap& flow; |
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| 22 | const CapacityMap& capacity; |
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[43] | 23 | public: |
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[59] | 24 | ResGraph(const Graph& _G, FlowMap& _flow, |
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| 25 | const CapacityMap& _capacity) : |
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[43] | 26 | G(_G), flow(_flow), capacity(_capacity) { } |
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| 27 | |
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| 28 | class EdgeIt; |
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| 29 | class OutEdgeIt; |
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| 30 | friend class EdgeIt; |
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| 31 | friend class OutEdgeIt; |
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| 32 | |
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| 33 | class EdgeIt { |
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[75] | 34 | friend class ResGraph<Graph, Number, FlowMap, CapacityMap>; |
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[43] | 35 | protected: |
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[75] | 36 | const ResGraph<Graph, Number, FlowMap, CapacityMap>* resG; |
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[43] | 37 | OldSymEdgeIt sym; |
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| 38 | public: |
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| 39 | EdgeIt() { } |
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| 40 | //EdgeIt(const EdgeIt& e) : resG(e.resG), sym(e.sym) { } |
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[75] | 41 | Number free() const { |
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[43] | 42 | if (resG->G.aNode(sym)==resG->G.tail(sym)) { |
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| 43 | return (resG->capacity.get(sym)-resG->flow.get(sym)); |
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| 44 | } else { |
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| 45 | return (resG->flow.get(sym)); |
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| 46 | } |
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| 47 | } |
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| 48 | bool valid() const { return sym.valid(); } |
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[75] | 49 | void augment(Number a) const { |
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[43] | 50 | if (resG->G.aNode(sym)==resG->G.tail(sym)) { |
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| 51 | resG->flow.set(sym, resG->flow.get(sym)+a); |
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[75] | 52 | //resG->flow[sym]+=a; |
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[43] | 53 | } else { |
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| 54 | resG->flow.set(sym, resG->flow.get(sym)-a); |
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[75] | 55 | //resG->flow[sym]-=a; |
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[43] | 56 | } |
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| 57 | } |
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| 58 | }; |
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| 59 | |
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| 60 | class OutEdgeIt : public EdgeIt { |
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[75] | 61 | friend class ResGraph<Graph, Number, FlowMap, CapacityMap>; |
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[43] | 62 | public: |
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| 63 | OutEdgeIt() { } |
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| 64 | //OutEdgeIt(const OutEdgeIt& e) { resG=e.resG; sym=e.sym; } |
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| 65 | private: |
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[75] | 66 | OutEdgeIt(const ResGraph<Graph, Number, FlowMap, CapacityMap>& _resG, NodeIt v) { |
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[43] | 67 | resG=&_resG; |
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| 68 | sym=resG->G.template first<OldSymEdgeIt>(v); |
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| 69 | while( sym.valid() && !(free()>0) ) { ++sym; } |
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| 70 | } |
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| 71 | public: |
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| 72 | OutEdgeIt& operator++() { |
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| 73 | ++sym; |
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| 74 | while( sym.valid() && !(free()>0) ) { ++sym; } |
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| 75 | return *this; |
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| 76 | } |
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| 77 | }; |
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| 78 | |
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[64] | 79 | void getFirst(OutEdgeIt& e, NodeIt v) const { |
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[43] | 80 | e=OutEdgeIt(*this, v); |
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| 81 | } |
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| 82 | void getFirst(EachNodeIt& v) const { G.getFirst(v); } |
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| 83 | |
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| 84 | template< typename It > |
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| 85 | It first() const { |
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[75] | 86 | It e; |
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| 87 | getFirst(e); |
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| 88 | return e; |
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| 89 | } |
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| 90 | |
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| 91 | template< typename It > |
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| 92 | It first(NodeIt v) const { |
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| 93 | It e; |
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| 94 | getFirst(e, v); |
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| 95 | return e; |
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| 96 | } |
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| 97 | |
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| 98 | NodeIt tail(EdgeIt e) const { return G.aNode(e.sym); } |
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| 99 | NodeIt head(EdgeIt e) const { return G.bNode(e.sym); } |
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| 100 | |
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| 101 | NodeIt aNode(OutEdgeIt e) const { return G.aNode(e.sym); } |
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| 102 | NodeIt bNode(OutEdgeIt e) const { return G.bNode(e.sym); } |
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| 103 | |
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| 104 | int id(NodeIt v) const { return G.id(v); } |
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| 105 | |
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| 106 | template <typename S> |
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| 107 | class NodeMap { |
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| 108 | typename Graph::NodeMap<S> node_map; |
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| 109 | public: |
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| 110 | NodeMap(const ResGraph<Graph, Number, FlowMap, CapacityMap>& _G) : node_map(_G.G) { } |
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| 111 | NodeMap(const ResGraph<Graph, Number, FlowMap, CapacityMap>& _G, S a) : node_map(_G.G, a) { } |
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| 112 | void set(NodeIt nit, S a) { node_map.set(nit, a); } |
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| 113 | S get(NodeIt nit) const { return node_map.get(nit); } |
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| 114 | S& operator[](NodeIt nit) { return node_map[nit]; } |
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| 115 | const S& operator[](NodeIt nit) const { return node_map[nit]; } |
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| 116 | }; |
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| 117 | |
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| 118 | }; |
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| 119 | |
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| 120 | |
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| 121 | template<typename Graph, typename Number, typename FlowMap, typename CapacityMap> |
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| 122 | class ResGraph2 { |
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[127] | 123 | public: |
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[75] | 124 | typedef typename Graph::NodeIt NodeIt; |
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| 125 | typedef typename Graph::EachNodeIt EachNodeIt; |
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[127] | 126 | private: |
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[75] | 127 | //typedef typename Graph::SymEdgeIt OldSymEdgeIt; |
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| 128 | typedef typename Graph::OutEdgeIt OldOutEdgeIt; |
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| 129 | typedef typename Graph::InEdgeIt OldInEdgeIt; |
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| 130 | |
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| 131 | const Graph& G; |
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| 132 | FlowMap& flow; |
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| 133 | const CapacityMap& capacity; |
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| 134 | public: |
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| 135 | ResGraph2(const Graph& _G, FlowMap& _flow, |
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| 136 | const CapacityMap& _capacity) : |
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| 137 | G(_G), flow(_flow), capacity(_capacity) { } |
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| 138 | |
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| 139 | class EdgeIt; |
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| 140 | class OutEdgeIt; |
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| 141 | friend class EdgeIt; |
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| 142 | friend class OutEdgeIt; |
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| 143 | |
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| 144 | class EdgeIt { |
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| 145 | friend class ResGraph2<Graph, Number, FlowMap, CapacityMap>; |
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| 146 | protected: |
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| 147 | const ResGraph2<Graph, Number, FlowMap, CapacityMap>* resG; |
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| 148 | //OldSymEdgeIt sym; |
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| 149 | OldOutEdgeIt out; |
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| 150 | OldInEdgeIt in; |
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[148] | 151 | bool out_or_in; //true, iff out |
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[75] | 152 | public: |
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[148] | 153 | EdgeIt() : out_or_in(true) { } |
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[75] | 154 | Number free() const { |
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| 155 | if (out_or_in) { |
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| 156 | return (resG->capacity.get(out)-resG->flow.get(out)); |
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| 157 | } else { |
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| 158 | return (resG->flow.get(in)); |
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| 159 | } |
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| 160 | } |
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| 161 | bool valid() const { |
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| 162 | return out_or_in && out.valid() || in.valid(); } |
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| 163 | void augment(Number a) const { |
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| 164 | if (out_or_in) { |
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| 165 | resG->flow.set(out, resG->flow.get(out)+a); |
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| 166 | } else { |
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| 167 | resG->flow.set(in, resG->flow.get(in)-a); |
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| 168 | } |
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| 169 | } |
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| 170 | }; |
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| 171 | |
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| 172 | class OutEdgeIt : public EdgeIt { |
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| 173 | friend class ResGraph2<Graph, Number, FlowMap, CapacityMap>; |
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| 174 | public: |
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| 175 | OutEdgeIt() { } |
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| 176 | private: |
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| 177 | OutEdgeIt(const ResGraph2<Graph, Number, FlowMap, CapacityMap>& _resG, NodeIt v) { |
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| 178 | resG=&_resG; |
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| 179 | out=resG->G.template first<OldOutEdgeIt>(v); |
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| 180 | while( out.valid() && !(free()>0) ) { ++out; } |
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| 181 | if (!out.valid()) { |
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| 182 | out_or_in=0; |
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| 183 | in=resG->G.template first<OldInEdgeIt>(v); |
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| 184 | while( in.valid() && !(free()>0) ) { ++in; } |
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| 185 | } |
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| 186 | } |
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| 187 | public: |
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| 188 | OutEdgeIt& operator++() { |
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| 189 | if (out_or_in) { |
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| 190 | NodeIt v=resG->G.aNode(out); |
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| 191 | ++out; |
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| 192 | while( out.valid() && !(free()>0) ) { ++out; } |
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| 193 | if (!out.valid()) { |
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| 194 | out_or_in=0; |
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| 195 | in=resG->G.template first<OldInEdgeIt>(v); |
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| 196 | while( in.valid() && !(free()>0) ) { ++in; } |
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| 197 | } |
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| 198 | } else { |
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| 199 | ++in; |
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| 200 | while( in.valid() && !(free()>0) ) { ++in; } |
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| 201 | } |
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| 202 | return *this; |
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| 203 | } |
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| 204 | }; |
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| 205 | |
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| 206 | void getFirst(OutEdgeIt& e, NodeIt v) const { |
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| 207 | e=OutEdgeIt(*this, v); |
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| 208 | } |
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| 209 | void getFirst(EachNodeIt& v) const { G.getFirst(v); } |
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| 210 | |
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| 211 | template< typename It > |
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| 212 | It first() const { |
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[43] | 213 | It e; |
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| 214 | getFirst(e); |
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| 215 | return e; |
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| 216 | } |
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| 217 | |
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| 218 | template< typename It > |
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[64] | 219 | It first(NodeIt v) const { |
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[43] | 220 | It e; |
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| 221 | getFirst(e, v); |
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| 222 | return e; |
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| 223 | } |
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| 224 | |
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[75] | 225 | NodeIt tail(EdgeIt e) const { |
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| 226 | return ((e.out_or_in) ? G.aNode(e.out) : G.aNode(e.in)); } |
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| 227 | NodeIt head(EdgeIt e) const { |
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| 228 | return ((e.out_or_in) ? G.bNode(e.out) : G.bNode(e.in)); } |
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[43] | 229 | |
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[75] | 230 | NodeIt aNode(OutEdgeIt e) const { |
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| 231 | return ((e.out_or_in) ? G.aNode(e.out) : G.aNode(e.in)); } |
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| 232 | NodeIt bNode(OutEdgeIt e) const { |
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| 233 | return ((e.out_or_in) ? G.bNode(e.out) : G.bNode(e.in)); } |
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[43] | 234 | |
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[64] | 235 | int id(NodeIt v) const { return G.id(v); } |
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[43] | 236 | |
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[69] | 237 | template <typename S> |
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[43] | 238 | class NodeMap { |
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[69] | 239 | typename Graph::NodeMap<S> node_map; |
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[43] | 240 | public: |
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[75] | 241 | NodeMap(const ResGraph2<Graph, Number, FlowMap, CapacityMap>& _G) : node_map(_G.G) { } |
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| 242 | NodeMap(const ResGraph2<Graph, Number, FlowMap, CapacityMap>& _G, S a) : node_map(_G.G, a) { } |
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| 243 | void set(NodeIt nit, S a) { node_map.set(nit, a); } |
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| 244 | S get(NodeIt nit) const { return node_map.get(nit); } |
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| 245 | }; |
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| 246 | }; |
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| 247 | |
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[43] | 248 | |
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[75] | 249 | template <typename Graph, typename Number, typename FlowMap, typename CapacityMap> |
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[59] | 250 | class MaxFlow { |
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[127] | 251 | public: |
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[43] | 252 | typedef typename Graph::NodeIt NodeIt; |
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| 253 | typedef typename Graph::EdgeIt EdgeIt; |
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| 254 | typedef typename Graph::EachEdgeIt EachEdgeIt; |
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| 255 | typedef typename Graph::OutEdgeIt OutEdgeIt; |
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| 256 | typedef typename Graph::InEdgeIt InEdgeIt; |
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[127] | 257 | |
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| 258 | private: |
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[148] | 259 | const Graph* G; |
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[64] | 260 | NodeIt s; |
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| 261 | NodeIt t; |
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[148] | 262 | FlowMap* flow; |
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| 263 | const CapacityMap* capacity; |
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| 264 | typedef ResGraphWrapper<Graph, Number, FlowMap, CapacityMap > AugGraph; |
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[59] | 265 | typedef typename AugGraph::OutEdgeIt AugOutEdgeIt; |
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| 266 | typedef typename AugGraph::EdgeIt AugEdgeIt; |
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[75] | 267 | |
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| 268 | //AugGraph res_graph; |
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| 269 | //typedef typename AugGraph::NodeMap<bool> ReachedMap; |
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| 270 | //typename AugGraph::NodeMap<AugEdgeIt> pred; |
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[133] | 271 | //typename AugGraph::NodeMap<Number> free; |
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[59] | 272 | public: |
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[75] | 273 | MaxFlow(const Graph& _G, NodeIt _s, NodeIt _t, FlowMap& _flow, const CapacityMap& _capacity) : |
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[148] | 274 | G(&_G), s(_s), t(_t), flow(&_flow), capacity(&_capacity) //, |
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[75] | 275 | //res_graph(G, flow, capacity), pred(res_graph), free(res_graph) |
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| 276 | { } |
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[133] | 277 | bool augmentOnShortestPath() { |
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[148] | 278 | AugGraph res_graph(*G, *flow, *capacity); |
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[59] | 279 | bool _augment=false; |
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| 280 | |
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| 281 | typedef typename AugGraph::NodeMap<bool> ReachedMap; |
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[168] | 282 | BfsIterator5< AugGraph, /*AugOutEdgeIt,*/ ReachedMap > res_bfs(res_graph); |
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[59] | 283 | res_bfs.pushAndSetReached(s); |
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| 284 | |
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| 285 | typename AugGraph::NodeMap<AugEdgeIt> pred(res_graph); |
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[75] | 286 | //filled up with invalid iterators |
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| 287 | //pred.set(s, AugEdgeIt()); |
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[59] | 288 | |
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[133] | 289 | typename AugGraph::NodeMap<Number> free(res_graph); |
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[59] | 290 | |
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| 291 | //searching for augmenting path |
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| 292 | while ( !res_bfs.finished() ) { |
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[141] | 293 | AugOutEdgeIt e=/*AugOutEdgeIt*/(res_bfs); |
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[148] | 294 | if (res_graph.valid(e) && res_bfs.isBNodeNewlyReached()) { |
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[59] | 295 | NodeIt v=res_graph.tail(e); |
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| 296 | NodeIt w=res_graph.head(e); |
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| 297 | pred.set(w, e); |
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[148] | 298 | if (res_graph.valid(pred.get(v))) { |
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[168] | 299 | free.set(w, std::min(free.get(v), res_graph.free(e))); |
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[59] | 300 | } else { |
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[168] | 301 | free.set(w, res_graph.free(e)); |
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[59] | 302 | } |
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| 303 | if (res_graph.head(e)==t) { _augment=true; break; } |
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| 304 | } |
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| 305 | |
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| 306 | ++res_bfs; |
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| 307 | } //end of searching augmenting path |
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[43] | 308 | |
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[59] | 309 | if (_augment) { |
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| 310 | NodeIt n=t; |
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[75] | 311 | Number augment_value=free.get(t); |
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[148] | 312 | while (res_graph.valid(pred.get(n))) { |
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[59] | 313 | AugEdgeIt e=pred.get(n); |
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[168] | 314 | res_graph.augment(e, augment_value); |
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| 315 | //e.augment(augment_value); |
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[59] | 316 | n=res_graph.tail(e); |
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| 317 | } |
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| 318 | } |
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| 319 | |
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| 320 | return _augment; |
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| 321 | } |
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[141] | 322 | |
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[133] | 323 | template<typename MutableGraph> bool augmentOnBlockingFlow() { |
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| 324 | bool _augment=false; |
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| 325 | |
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[148] | 326 | AugGraph res_graph(*G, *flow, *capacity); |
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[133] | 327 | |
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| 328 | typedef typename AugGraph::NodeMap<bool> ReachedMap; |
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| 329 | BfsIterator4< AugGraph, AugOutEdgeIt, ReachedMap > bfs(res_graph); |
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| 330 | |
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[100] | 331 | bfs.pushAndSetReached(s); |
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[133] | 332 | typename AugGraph::NodeMap<int> dist(res_graph); //filled up with 0's |
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[100] | 333 | while ( !bfs.finished() ) { |
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[141] | 334 | AugOutEdgeIt e=/*AugOutEdgeIt*/(bfs); |
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[148] | 335 | if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) { |
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[133] | 336 | dist.set(res_graph.head(e), dist.get(res_graph.tail(e))+1); |
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[100] | 337 | } |
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| 338 | |
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| 339 | ++bfs; |
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[133] | 340 | } //computing distances from s in the residual graph |
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[100] | 341 | |
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| 342 | MutableGraph F; |
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[133] | 343 | typename AugGraph::NodeMap<NodeIt> res_graph_to_F(res_graph); |
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[148] | 344 | for(typename AugGraph::EachNodeIt n=res_graph.template first<typename AugGraph::EachNodeIt>(); res_graph.valid(n); res_graph.next(n)) { |
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[133] | 345 | res_graph_to_F.set(n, F.addNode()); |
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[100] | 346 | } |
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[133] | 347 | |
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| 348 | typename MutableGraph::NodeIt sF=res_graph_to_F.get(s); |
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| 349 | typename MutableGraph::NodeIt tF=res_graph_to_F.get(t); |
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| 350 | |
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| 351 | typename MutableGraph::EdgeMap<AugEdgeIt> original_edge(F); |
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[148] | 352 | typename MutableGraph::EdgeMap<Number> residual_capacity(F); |
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[133] | 353 | |
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| 354 | //Making F to the graph containing the edges of the residual graph |
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| 355 | //which are in some shortest paths |
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[148] | 356 | for(typename AugGraph::EachEdgeIt e=res_graph.template first<typename AugGraph::EachEdgeIt>(); res_graph.valid(e); res_graph.next(e)) { |
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[133] | 357 | if (dist.get(res_graph.head(e))==dist.get(res_graph.tail(e))+1) { |
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| 358 | typename MutableGraph::EdgeIt f=F.addEdge(res_graph_to_F.get(res_graph.tail(e)), res_graph_to_F.get(res_graph.head(e))); |
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| 359 | original_edge.update(); |
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| 360 | original_edge.set(f, e); |
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[148] | 361 | residual_capacity.update(); |
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[168] | 362 | residual_capacity.set(f, res_graph.free(e)); |
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[133] | 363 | } |
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| 364 | } |
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| 365 | |
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| 366 | bool __augment=true; |
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| 367 | |
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| 368 | while (__augment) { |
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| 369 | __augment=false; |
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| 370 | //computing blocking flow with dfs |
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| 371 | typedef typename MutableGraph::NodeMap<bool> BlockingReachedMap; |
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| 372 | DfsIterator4< MutableGraph, typename MutableGraph::OutEdgeIt, BlockingReachedMap > dfs(F); |
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| 373 | typename MutableGraph::NodeMap<EdgeIt> pred(F); //invalid iterators |
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| 374 | typename MutableGraph::NodeMap<Number> free(F); |
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| 375 | |
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| 376 | dfs.pushAndSetReached(sF); |
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| 377 | while (!dfs.finished()) { |
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| 378 | ++dfs; |
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[148] | 379 | if (F.valid(typename MutableGraph::OutEdgeIt(dfs))) { |
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[168] | 380 | if (dfs.isBNodeNewlyReached()) { |
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| 381 | // std::cout << "OutEdgeIt: " << dfs; |
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| 382 | // std::cout << " aNode: " << F.aNode(dfs); |
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| 383 | // std::cout << " bNode: " << F.bNode(dfs) << " "; |
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[133] | 384 | |
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[168] | 385 | typename MutableGraph::NodeIt v=F.aNode(dfs); |
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| 386 | typename MutableGraph::NodeIt w=F.bNode(dfs); |
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| 387 | pred.set(w, dfs); |
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| 388 | if (F.valid(pred.get(v))) { |
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| 389 | free.set(w, std::min(free.get(v), residual_capacity.get(dfs))); |
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| 390 | } else { |
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| 391 | free.set(w, residual_capacity.get(dfs)); |
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| 392 | } |
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| 393 | if (w==tF) { |
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| 394 | //std::cout << "AUGMENTATION"<<std::endl; |
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| 395 | __augment=true; |
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| 396 | _augment=true; |
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| 397 | break; |
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| 398 | } |
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| 399 | |
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[133] | 400 | } else { |
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| 401 | F.erase(typename MutableGraph::OutEdgeIt(dfs)); |
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| 402 | } |
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| 403 | } |
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[100] | 404 | } |
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[133] | 405 | |
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| 406 | if (__augment) { |
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| 407 | typename MutableGraph::NodeIt n=tF; |
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| 408 | Number augment_value=free.get(tF); |
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[148] | 409 | while (F.valid(pred.get(n))) { |
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[133] | 410 | typename MutableGraph::EdgeIt e=pred.get(n); |
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[168] | 411 | res_graph.augment(original_edge.get(e), augment_value); |
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| 412 | //original_edge.get(e).augment(augment_value); |
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[133] | 413 | n=F.tail(e); |
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[148] | 414 | if (residual_capacity.get(e)==augment_value) |
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[135] | 415 | F.erase(e); |
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| 416 | else |
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[148] | 417 | residual_capacity.set(e, residual_capacity.get(e)-augment_value); |
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[133] | 418 | } |
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| 419 | } |
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[168] | 420 | |
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| 421 | } |
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| 422 | |
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| 423 | return _augment; |
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| 424 | } |
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| 425 | bool augmentOnBlockingFlow2() { |
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| 426 | bool _augment=false; |
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| 427 | |
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| 428 | //typedef ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap> EAugGraph; |
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| 429 | typedef FilterGraphWrapper< ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap> > EAugGraph; |
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| 430 | typedef typename EAugGraph::OutEdgeIt EAugOutEdgeIt; |
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| 431 | typedef typename EAugGraph::EdgeIt EAugEdgeIt; |
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| 432 | |
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| 433 | EAugGraph res_graph(*G, *flow, *capacity); |
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| 434 | |
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| 435 | //std::cout << "meg jo1" << std::endl; |
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| 436 | |
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| 437 | //typedef typename EAugGraph::NodeMap<bool> ReachedMap; |
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| 438 | BfsIterator4< |
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| 439 | ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>, |
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| 440 | ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>::OutEdgeIt, |
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| 441 | ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>::NodeMap<bool> > bfs(res_graph); |
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| 442 | |
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| 443 | //std::cout << "meg jo2" << std::endl; |
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| 444 | |
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| 445 | bfs.pushAndSetReached(s); |
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| 446 | //std::cout << "meg jo2.5" << std::endl; |
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| 447 | |
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| 448 | //typename EAugGraph::NodeMap<int> dist(res_graph); //filled up with 0's |
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| 449 | typename ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>:: |
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| 450 | NodeMap<int>& dist=res_graph.dist; |
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| 451 | //std::cout << "meg jo2.6" << std::endl; |
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| 452 | |
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| 453 | while ( !bfs.finished() ) { |
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| 454 | ErasingResGraphWrapper<Graph, Number, FlowMap, CapacityMap>::OutEdgeIt e=bfs; |
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| 455 | // EAugOutEdgeIt e=/*AugOutEdgeIt*/(bfs); |
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| 456 | //if (res_graph.valid(e)) { |
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| 457 | // std::cout<<"a:"<<res_graph.tail(e)<<"b:"<<res_graph.head(e)<<std::endl; |
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| 458 | //} |
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| 459 | if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) { |
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| 460 | dist.set(res_graph.head(e), dist.get(res_graph.tail(e))+1); |
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| 461 | } |
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| 462 | |
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| 463 | ++bfs; |
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| 464 | } //computing distances from s in the residual graph |
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| 465 | |
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| 466 | |
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| 467 | //std::cout << "meg jo3" << std::endl; |
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| 468 | |
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| 469 | // typedef typename EAugGraph::EachNodeIt EAugEachNodeIt; |
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| 470 | // for(EAugEachNodeIt n=res_graph.template first<EAugEachNodeIt>(); res_graph.valid(n); res_graph.next(n)) { |
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| 471 | // std::cout << "dist: " << dist.get(n) << std::endl; |
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| 472 | // } |
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| 473 | |
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| 474 | bool __augment=true; |
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| 475 | |
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| 476 | while (__augment) { |
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| 477 | // std::cout << "new iteration"<< std::endl; |
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| 478 | |
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| 479 | __augment=false; |
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| 480 | //computing blocking flow with dfs |
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| 481 | typedef typename EAugGraph::NodeMap<bool> BlockingReachedMap; |
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| 482 | DfsIterator4< EAugGraph, EAugOutEdgeIt, BlockingReachedMap > |
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| 483 | dfs(res_graph); |
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| 484 | typename EAugGraph::NodeMap<EAugEdgeIt> pred(res_graph); //invalid iterators |
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| 485 | typename EAugGraph::NodeMap<Number> free(res_graph); |
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| 486 | |
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| 487 | dfs.pushAndSetReached(s); |
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| 488 | while (!dfs.finished()) { |
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| 489 | ++dfs; |
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| 490 | if (res_graph.valid(EAugOutEdgeIt(dfs))) { |
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| 491 | if (dfs.isBNodeNewlyReached()) { |
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| 492 | // std::cout << "OutEdgeIt: " << dfs; |
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| 493 | // std::cout << " aNode: " << res_graph.aNode(dfs); |
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| 494 | // std::cout << " res cap: " << EAugOutEdgeIt(dfs).free(); |
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| 495 | // std::cout << " bNode: " << res_graph.bNode(dfs) << " "; |
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| 496 | |
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| 497 | typename EAugGraph::NodeIt v=res_graph.aNode(dfs); |
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| 498 | typename EAugGraph::NodeIt w=res_graph.bNode(dfs); |
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| 499 | |
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| 500 | pred.set(w, EAugOutEdgeIt(dfs)); |
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| 501 | |
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| 502 | //std::cout << EAugOutEdgeIt(dfs).free() << std::endl; |
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| 503 | if (res_graph.valid(pred.get(v))) { |
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| 504 | free.set(w, std::min(free.get(v), res_graph.free(/*EAugOutEdgeIt*/(dfs)))); |
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| 505 | } else { |
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| 506 | free.set(w, res_graph.free(/*EAugOutEdgeIt*/(dfs))); |
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| 507 | } |
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| 508 | |
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| 509 | if (w==t) { |
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| 510 | // std::cout << "t is reached, AUGMENTATION"<<std::endl; |
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| 511 | __augment=true; |
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| 512 | _augment=true; |
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| 513 | break; |
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| 514 | } |
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| 515 | } else { |
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| 516 | // std::cout << "<<DELETE "; |
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| 517 | // std::cout << " aNode: " << res_graph.aNode(dfs); |
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| 518 | // std::cout << " res cap: " << EAugOutEdgeIt(dfs).free(); |
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| 519 | // std::cout << " bNode: " << res_graph.bNode(dfs) << " "; |
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| 520 | // std::cout << "DELETE>> "; |
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| 521 | |
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| 522 | res_graph.erase(dfs); |
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| 523 | } |
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| 524 | } |
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| 525 | |
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| 526 | } |
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| 527 | |
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| 528 | if (__augment) { |
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| 529 | typename EAugGraph::NodeIt n=t; |
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| 530 | Number augment_value=free.get(t); |
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| 531 | // std::cout << "av:" << augment_value << std::endl; |
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| 532 | while (res_graph.valid(pred.get(n))) { |
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| 533 | EAugEdgeIt e=pred.get(n); |
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| 534 | res_graph.augment(e, augment_value); |
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| 535 | //e.augment(augment_value); |
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| 536 | n=res_graph.tail(e); |
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| 537 | if (res_graph.free(e)==0) |
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| 538 | res_graph.erase(e); |
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| 539 | } |
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| 540 | } |
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[135] | 541 | |
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[100] | 542 | } |
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[133] | 543 | |
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| 544 | return _augment; |
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[100] | 545 | } |
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[43] | 546 | void run() { |
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[100] | 547 | //int num_of_augmentations=0; |
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[133] | 548 | while (augmentOnShortestPath()) { |
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| 549 | //while (augmentOnBlockingFlow<MutableGraph>()) { |
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| 550 | //std::cout << ++num_of_augmentations << " "; |
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| 551 | //std::cout<<std::endl; |
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| 552 | } |
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| 553 | } |
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| 554 | template<typename MutableGraph> void run() { |
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| 555 | //int num_of_augmentations=0; |
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| 556 | //while (augmentOnShortestPath()) { |
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| 557 | while (augmentOnBlockingFlow<MutableGraph>()) { |
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[100] | 558 | //std::cout << ++num_of_augmentations << " "; |
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| 559 | //std::cout<<std::endl; |
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| 560 | } |
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[43] | 561 | } |
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[75] | 562 | Number flowValue() { |
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| 563 | Number a=0; |
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[148] | 564 | OutEdgeIt e; |
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| 565 | for(G->getFirst(e, s); G->valid(e); G->next(e)) { |
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| 566 | a+=flow->get(e); |
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[69] | 567 | } |
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| 568 | return a; |
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| 569 | } |
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[43] | 570 | }; |
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| 571 | |
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[75] | 572 | |
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[155] | 573 | // template <typename Graph, typename Number, typename FlowMap, typename CapacityMap> |
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| 574 | // class MaxFlow2 { |
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| 575 | // public: |
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| 576 | // typedef typename Graph::NodeIt NodeIt; |
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| 577 | // typedef typename Graph::EdgeIt EdgeIt; |
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| 578 | // typedef typename Graph::EachEdgeIt EachEdgeIt; |
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| 579 | // typedef typename Graph::OutEdgeIt OutEdgeIt; |
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| 580 | // typedef typename Graph::InEdgeIt InEdgeIt; |
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| 581 | // private: |
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| 582 | // const Graph& G; |
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| 583 | // std::list<NodeIt>& S; |
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| 584 | // std::list<NodeIt>& T; |
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| 585 | // FlowMap& flow; |
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| 586 | // const CapacityMap& capacity; |
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| 587 | // typedef ResGraphWrapper<Graph, Number, FlowMap, CapacityMap > AugGraph; |
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| 588 | // typedef typename AugGraph::OutEdgeIt AugOutEdgeIt; |
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| 589 | // typedef typename AugGraph::EdgeIt AugEdgeIt; |
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| 590 | // typename Graph::NodeMap<bool> SMap; |
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| 591 | // typename Graph::NodeMap<bool> TMap; |
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| 592 | // public: |
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| 593 | // MaxFlow2(const Graph& _G, std::list<NodeIt>& _S, std::list<NodeIt>& _T, FlowMap& _flow, const CapacityMap& _capacity) : G(_G), S(_S), T(_T), flow(_flow), capacity(_capacity), SMap(_G), TMap(_G) { |
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| 594 | // for(typename std::list<NodeIt>::const_iterator i=S.begin(); |
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| 595 | // i!=S.end(); ++i) { |
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| 596 | // SMap.set(*i, true); |
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| 597 | // } |
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| 598 | // for (typename std::list<NodeIt>::const_iterator i=T.begin(); |
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| 599 | // i!=T.end(); ++i) { |
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| 600 | // TMap.set(*i, true); |
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| 601 | // } |
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| 602 | // } |
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| 603 | // bool augment() { |
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| 604 | // AugGraph res_graph(G, flow, capacity); |
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| 605 | // bool _augment=false; |
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| 606 | // NodeIt reached_t_node; |
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[75] | 607 | |
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[155] | 608 | // typedef typename AugGraph::NodeMap<bool> ReachedMap; |
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| 609 | // BfsIterator4< AugGraph, AugOutEdgeIt, ReachedMap > res_bfs(res_graph); |
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| 610 | // for(typename std::list<NodeIt>::const_iterator i=S.begin(); |
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| 611 | // i!=S.end(); ++i) { |
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| 612 | // res_bfs.pushAndSetReached(*i); |
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| 613 | // } |
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| 614 | // //res_bfs.pushAndSetReached(s); |
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[75] | 615 | |
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[155] | 616 | // typename AugGraph::NodeMap<AugEdgeIt> pred(res_graph); |
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| 617 | // //filled up with invalid iterators |
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[75] | 618 | |
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[155] | 619 | // typename AugGraph::NodeMap<Number> free(res_graph); |
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[75] | 620 | |
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[155] | 621 | // //searching for augmenting path |
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| 622 | // while ( !res_bfs.finished() ) { |
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| 623 | // AugOutEdgeIt e=/*AugOutEdgeIt*/(res_bfs); |
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| 624 | // if (e.valid() && res_bfs.isBNodeNewlyReached()) { |
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| 625 | // NodeIt v=res_graph.tail(e); |
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| 626 | // NodeIt w=res_graph.head(e); |
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| 627 | // pred.set(w, e); |
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| 628 | // if (pred.get(v).valid()) { |
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| 629 | // free.set(w, std::min(free.get(v), e.free())); |
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| 630 | // } else { |
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| 631 | // free.set(w, e.free()); |
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| 632 | // } |
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| 633 | // if (TMap.get(res_graph.head(e))) { |
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| 634 | // _augment=true; |
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| 635 | // reached_t_node=res_graph.head(e); |
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| 636 | // break; |
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| 637 | // } |
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| 638 | // } |
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[75] | 639 | |
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[155] | 640 | // ++res_bfs; |
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| 641 | // } //end of searching augmenting path |
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[75] | 642 | |
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[155] | 643 | // if (_augment) { |
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| 644 | // NodeIt n=reached_t_node; |
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| 645 | // Number augment_value=free.get(reached_t_node); |
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| 646 | // while (pred.get(n).valid()) { |
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| 647 | // AugEdgeIt e=pred.get(n); |
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| 648 | // e.augment(augment_value); |
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| 649 | // n=res_graph.tail(e); |
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| 650 | // } |
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| 651 | // } |
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[75] | 652 | |
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[155] | 653 | // return _augment; |
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| 654 | // } |
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| 655 | // void run() { |
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| 656 | // while (augment()) { } |
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| 657 | // } |
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| 658 | // Number flowValue() { |
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| 659 | // Number a=0; |
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| 660 | // for(typename std::list<NodeIt>::const_iterator i=S.begin(); |
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| 661 | // i!=S.end(); ++i) { |
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| 662 | // for(OutEdgeIt e=G.template first<OutEdgeIt>(*i); e.valid(); ++e) { |
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| 663 | // a+=flow.get(e); |
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| 664 | // } |
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| 665 | // for(InEdgeIt e=G.template first<InEdgeIt>(*i); e.valid(); ++e) { |
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| 666 | // a-=flow.get(e); |
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| 667 | // } |
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| 668 | // } |
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| 669 | // return a; |
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| 670 | // } |
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| 671 | // }; |
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[75] | 672 | |
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| 673 | |
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| 674 | |
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[107] | 675 | } // namespace hugo |
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[43] | 676 | |
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[59] | 677 | #endif //EDMONDS_KARP_HH |
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