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* |
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*/ |
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///\ingroup demos |
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///\file |
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///\brief Demonstrating the usage of LEMON's General Flow algorithm |
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/// |
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/// This demo program reads a general network circulation problem from the |
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/// file 'circulation-input.lgf', runs the preflow based algorithm for |
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/// finding a feasible solution and writes the output |
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/// to 'circulation-input.lgf' |
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/// |
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/// \include circulation_demo.cc |
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#include <iostream> |
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#include "test_tools.h" |
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#include <lemon/list_graph.h> |
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#include <lemon/circulation.h> |
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#include <lemon/lgf_reader.h> |
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#include <lemon/concepts/digraph.h> |
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#include <lemon/concepts/maps.h> |
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using namespace lemon; |
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char test_lgf[] = |
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"@nodes\n" |
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"label delta\n" |
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"0 0\n" |
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"1 13\n" |
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"2 0\n" |
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"3 0\n" |
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"4 0\n" |
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"5 0\n" |
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"6 0\n" |
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"7 0\n" |
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"8 -13\n" |
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"9 0\n" |
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"@edges\n" |
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" label lo_cap up_cap\n" |
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"0 1 0 0 20\n" |
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"0 2 1 0 0\n" |
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"1 1 2 0 3\n" |
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"1 2 3 0 8\n" |
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"1 3 4 0 8\n" |
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"2 5 5 0 5\n" |
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"3 2 6 0 5\n" |
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"3 5 7 0 5\n" |
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"3 6 8 0 5\n" |
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"4 3 9 0 3\n" |
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"5 7 10 0 3\n" |
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"5 6 11 0 10\n" |
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"5 8 12 0 10\n" |
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"6 8 13 0 8\n" |
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"8 9 14 0 20\n" |
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"8 1 15 0 5\n" |
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"9 5 16 0 5\n" |
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"label\n" |
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"0\n" |
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"1\n" |
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"2\n" |
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"3\n" |
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"4\n" |
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"5\n" |
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"@arcs\n" |
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" lcap ucap\n" |
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"0 1 2 10\n" |
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"0 2 2 6\n" |
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"1 3 4 7\n" |
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"1 4 0 5\n" |
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"2 4 1 3\n" |
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"3 5 3 8\n" |
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"4 5 3 7\n" |
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"@attributes\n" |
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"source 1\n" |
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"sink 8\n"; |
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"source 0\n" |
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"sink 5\n"; |
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void checkCirculationCompile() |
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{ |
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typedef int VType; |
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typedef concepts::Digraph Digraph; |
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typedef Digraph::Node Node; |
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typedef Digraph::Arc Arc; |
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typedef concepts::ReadMap<Arc,VType> CapMap; |
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typedef concepts::ReadMap<Node,VType> DeltaMap; |
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typedef concepts::ReadWriteMap<Arc,VType> FlowMap; |
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typedef concepts::WriteMap<Node,bool> BarrierMap; |
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typedef Elevator<Digraph, Digraph::Node> Elev; |
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typedef LinkedElevator<Digraph, Digraph::Node> LinkedElev; |
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Digraph g; |
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Node n; |
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Arc a; |
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CapMap lcap, ucap; |
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DeltaMap delta; |
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FlowMap flow; |
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BarrierMap bar; |
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Circulation<Digraph, CapMap, CapMap, DeltaMap> |
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::SetFlowMap<FlowMap> |
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::SetElevator<Elev> |
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::SetStandardElevator<LinkedElev> |
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::Create circ_test(g,lcap,ucap,delta); |
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circ_test.lowerCapMap(lcap); |
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circ_test.upperCapMap(ucap); |
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circ_test.deltaMap(delta); |
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flow = circ_test.flowMap(); |
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circ_test.flowMap(flow); |
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circ_test.init(); |
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circ_test.greedyInit(); |
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circ_test.start(); |
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circ_test.run(); |
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circ_test.barrier(n); |
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circ_test.barrierMap(bar); |
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circ_test.flow(a); |
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} |
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template <class G, class LM, class UM, class DM> |
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void checkCirculation(const G& g, const LM& lm, const UM& um, |
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const DM& dm, bool find) |
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{ |
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Circulation<G, LM, UM, DM> circ(g, lm, um, dm); |
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bool ret = circ.run(); |
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if (find) { |
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check(ret, "A feasible solution should have been found."); |
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check(circ.checkFlow(), "The found flow is corrupt."); |
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check(!circ.checkBarrier(), "A barrier should not have been found."); |
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} else { |
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check(!ret, "A feasible solution should not have been found."); |
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check(circ.checkBarrier(), "The found barrier is corrupt."); |
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} |
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} |
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int main (int, char*[]) |
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{ |
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typedef ListDigraph Digraph; |
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DIGRAPH_TYPEDEFS(Digraph); |
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typedef ListDigraph Digraph; |
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typedef Digraph::Node Node; |
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typedef Digraph::NodeIt NodeIt; |
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typedef Digraph::Arc Arc; |
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typedef Digraph::ArcIt ArcIt; |
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typedef Digraph::ArcMap<int> ArcMap; |
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typedef Digraph::NodeMap<int> NodeMap; |
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typedef Digraph::NodeMap<double> DNodeMap; |
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Digraph g; |
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IntArcMap lo(g), up(g); |
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IntNodeMap delta(g, 0); |
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Node s, t; |
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Digraph g; |
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ArcMap lo(g); |
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ArcMap up(g); |
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NodeMap delta(g); |
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NodeMap nid(g); |
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ArcMap eid(g); |
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Node source, sink; |
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std::istringstream input(test_lgf); |
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DigraphReader<Digraph>(g,input). |
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arcMap("lo_cap", lo). |
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arcMap("up_cap", up). |
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nodeMap("delta", delta). |
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arcMap("label", eid). |
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nodeMap("label", nid). |
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node("source",source). |
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node("sink",sink). |
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run(); |
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std::istringstream input(test_lgf); |
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DigraphReader<Digraph>(g,input). |
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arcMap("lcap", lo). |
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arcMap("ucap", up). |
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node("source",s). |
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node("sink",t). |
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run(); |
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Circulation<Digraph> gen(g,lo,up,delta); |
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bool ret=gen.run(); |
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check(ret,"A feasible solution should have been found."); |
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check(gen.checkFlow(), "The found flow is corrupt."); |
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delta[source]=14; |
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delta[sink]=-14; |
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bool ret2=gen.run(); |
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check(!ret2,"A feasible solution should not have been found."); |
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delta[s] = 7; delta[t] = -7; |
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checkCirculation(g, lo, up, delta, true); |
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delta[s] = 13; delta[t] = -13; |
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checkCirculation(g, lo, up, delta, true); |
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delta[s] = 6; delta[t] = -6; |
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checkCirculation(g, lo, up, delta, false); |
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delta[s] = 14; delta[t] = -14; |
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checkCirculation(g, lo, up, delta, false); |
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delta[s] = 7; delta[t] = -13; |
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checkCirculation(g, lo, up, delta, true); |
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delta[s] = 5; delta[t] = -15; |
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checkCirculation(g, lo, up, delta, true); |
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delta[s] = 10; delta[t] = -11; |
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checkCirculation(g, lo, up, delta, true); |
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delta[s] = 11; delta[t] = -10; |
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checkCirculation(g, lo, up, delta, false); |
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return 0; |
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} |
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