]> git.uio.no Git - u/mrichter/AliRoot.git/commitdiff
Added seperate methods to write histograms to a file when not using the task framework
authorsnelling <snelling@f7af4fe6-9843-0410-8265-dc069ae4e863>
Mon, 1 Dec 2008 14:14:08 +0000 (14:14 +0000)
committersnelling <snelling@f7af4fe6-9843-0410-8265-dc069ae4e863>
Mon, 1 Dec 2008 14:14:08 +0000 (14:14 +0000)
PWG2/FLOW/AliAnalysisTaskQCumulants.cxx
PWG2/FLOW/AliFittingQDistribution.cxx
PWG2/FLOW/AliFittingQDistribution.h
PWG2/FLOW/AliFlowAnalysisWithCumulants.cxx
PWG2/FLOW/AliFlowAnalysisWithCumulants.h
PWG2/FLOW/AliFlowAnalysisWithQCumulants.cxx
PWG2/FLOW/AliFlowAnalysisWithQCumulants.h
PWG2/FLOW/AliQCumulantsFunctions.cxx
PWG2/FLOW/AliQCumulantsFunctions.h

index 5b716dc580c3ff6e771bb7e077911552f9197803..e4041e703ae05a97f5b3e5919f389af05d0dbbdb 100644 (file)
@@ -239,9 +239,10 @@ void AliAnalysisTaskQCumulants::Exec(Option_t *)
     }
     Printf("There are %d tracks in this event", fESD->GetNumberOfTracks());
     
-    //Q-cumulant analysis 
+    //Q-cumulant analysis    
     AliFlowEventSimple* fEvent = fEventMaker->FillTracks(fESD,fCFManager1,fCFManager2);
-    fQCA->Make(fEvent);
+    //AliFlowEventSimple* fEvent = fEventMaker->FillTracks(fESD);
+    fQCA->Make(fEvent); 
     delete fEvent;
   }
   else if (fAnalysisType == "ESDMC0") {
@@ -311,15 +312,17 @@ void AliAnalysisTaskQCumulants::Terminate(Option_t *)
  if(fListHistos)
  {         
   //histograms to store the final results (integrated flow)
-  TH1D *intFlowResults = dynamic_cast<TH1D*>(fListHistos->FindObject("fIntFlowResults"));
+  TH1D *intFlowResults = dynamic_cast<TH1D*>(fListHistos->FindObject("fIntFlowResultsQC"));
   
   //histograms to store the final results (differential flow)
-  TH1D *diffFlowResults2ndOrder = dynamic_cast<TH1D*>(fListHistos->FindObject("fDiffFlowResults2ndOrder"));
-  TH1D *diffFlowResults4thOrder = dynamic_cast<TH1D*>(fListHistos->FindObject("fDiffFlowResults4thOrder"));
+  TH1D *diffFlowResults2ndOrder = dynamic_cast<TH1D*>(fListHistos->FindObject("fDiffFlowResults2ndOrderQC"));
+  TH1D *diffFlowResults4thOrder = dynamic_cast<TH1D*>(fListHistos->FindObject("fDiffFlowResults4thOrderQC"));
   
+  //histogram to store the final results for covariances (1st bin <2*4>-<2>*<4>, 2nd bin <2*6>-<2>*<6>, ...)
+  TH1D *covariances = dynamic_cast<TH1D*>(fListHistos->FindObject("fCovariances"));
   
   //profile with avarage selected multiplicity for int. flow 
-  TProfile *AvMultHere = dynamic_cast<TProfile*>(fListHistos->FindObject("fAvMultIntFlow"));
+  TProfile *AvMultHere = dynamic_cast<TProfile*>(fListHistos->FindObject("fAvMultIntFlowQC"));
   
   //profile with avarage values of Q-vector components (1st bin: <Q_x>, 2nd bin: <Q_y>, 3rd bin: <(Q_x)^2>, 4th bin: <(Q_y)^2>) 
   TProfile *QvectorComponentsHere = dynamic_cast<TProfile*>(fListHistos->FindObject("fQvectorComponents"));
@@ -339,12 +342,22 @@ void AliAnalysisTaskQCumulants::Terminate(Option_t *)
   TProfile *binned3p_2n1n1n = dynamic_cast<TProfile*>(fListHistos->FindObject("f3_2n1n1n"));
   TProfile *binned3p_1n1n2n = dynamic_cast<TProfile*>(fListHistos->FindObject("f3_1n1n2n"));
   TProfile *binned4p_1n1n1n1n = dynamic_cast<TProfile*>(fListHistos->FindObject("f4_1n1n1n1n"));
-
+  
+  /*
+  AliFlowCommonHistResults *commonHR2nd = dynamic_cast<AliFlowCommonHistResults*>(fListHistos->FindObject("fCommonHistsResults2nd"));
+  AliFlowCommonHistResults *commonHR4th = dynamic_cast<AliFlowCommonHistResults*>(fListHistos->FindObject("fCommonHistsResults4th"));
+  AliFlowCommonHistResults *commonHR6th = dynamic_cast<AliFlowCommonHistResults*>(fListHistos->FindObject("fCommonHistsResults6th"));
+  AliFlowCommonHistResults *commonHR8th = dynamic_cast<AliFlowCommonHistResults*>(fListHistos->FindObject("fCommonHistsResults8th"));
+  */
 
     
-  
-  AliQCumulantsFunctions finalResults(intFlowResults,diffFlowResults2ndOrder,diffFlowResults4thOrder,AvMultHere,QvectorComponentsHere,QCorrelations,QCovariance,QCorrelationsPerBin,DirectHere,binned2p_1n1n,binned2p_2n2n, binned3p_2n1n1n,binned3p_1n1n2n, binned4p_1n1n1n1n);
+  /*
+  AliQCumulantsFunctions finalResults(intFlowResults,diffFlowResults2ndOrder,diffFlowResults4thOrder,covariances,AvMultHere,QvectorComponentsHere,QCorrelations,QCovariance,QCorrelationsPerBin,DirectHere,binned2p_1n1n,binned2p_2n2n, binned3p_2n1n1n,binned3p_1n1n2n, binned4p_1n1n1n1n, commonHR2nd, commonHR4th, commonHR6th, commonHR8th);
+  */
          
+  AliQCumulantsFunctions finalResults(intFlowResults,diffFlowResults2ndOrder,diffFlowResults4thOrder,covariances,AvMultHere,QvectorComponentsHere,QCorrelations,QCovariance,QCorrelationsPerBin,DirectHere,binned2p_1n1n,binned2p_2n2n, binned3p_2n1n1n,binned3p_1n1n2n, binned4p_1n1n1n1n);
+
+                                              
   finalResults.Calculate();  
 
  
index 6acdaba18d16f4367507e116bc354377581a3dbe..60f8cd79257027ab18c136b3831aed67783fb484 100644 (file)
@@ -35,6 +35,7 @@
 #include "AliFlowEventSimple.h"
 #include "AliFlowTrackSimple.h"
 #include "AliFittingQDistribution.h"
+#include "AliFittingFunctionsForQDistribution.h"
 
 class TH1;
 class TGraph;
@@ -138,15 +139,30 @@ void AliFittingQDistribution::Make(AliFlowEventSimple* anEvent)
   q = fQVector.Mod()/sqrt(fQVector.GetMult());
   fQDistributionFQD->Fill(q,1.);
  }  
-}
+}//end of Make()
 
 //================================================================================================================
 
 void AliFittingQDistribution::Finish()
 {
- //not needed for the time being...
+ //calculate the final results
+ AliFittingFunctionsForQDistribution finalFitting(fAvMultIntFlowFQD,fQDistributionFQD,fIntFlowResultsFQD);
+         
+ finalFitting.Calculate();            
+}
+
+//================================================================================================================
+
+void AliFittingQDistribution::WriteHistograms(TString* outputFileName)
+{
+ //store the final results in output .root file
+ TFile *output = new TFile(outputFileName->Data(),"RECREATE");
+ fHistList->Write(); 
+ delete output;
 }
 
+//================================================================================================================
+
 
 
 
index a656599497445363879fd8b0add94757f094514a..7ae855151bf3e05a1267838389a70281ccdeb268 100644 (file)
@@ -40,6 +40,7 @@ class AliFittingQDistribution{
   virtual void CreateOutputObjects();
   virtual void Make(AliFlowEventSimple* anEvent);
   virtual void Finish();
+  virtual void WriteHistograms(TString* outputFileName);
   
   TList* GetHistList() const {return this->fHistList;}      //output histogram list
  
index ea7687ce9d8cc9fedb117fc55e0c3cfb24803907..212e16dfeb0e8caab5bba5b99a6109daa5899ee7 100644 (file)
@@ -38,6 +38,7 @@
 #include "AliFlowTrackSimple.h"
 #include "AliFlowAnalysisWithCumulants.h"
 #include "AliFlowCumuConstants.h"
+#include "AliCumulantsFunctions.h"
 
 class TH1;
 class TGraph;
@@ -422,9 +423,26 @@ void AliFlowAnalysisWithCumulants::Make(AliFlowEventSimple* anEvent)
 
 void AliFlowAnalysisWithCumulants::Finish()
 {
- //not needed for the time being...
+ //calculate the final results
+ AliCumulantsFunctions finalResults(fIntFlowGenFun,NULL,NULL, fIntFlowResults,fDiffFlowResults2,fDiffFlowResults4,fDiffFlowResults6,fDiffFlowResults8,fAvMultIntFlow,fQVectorComponents,fQDist,fDiffFlowGenFunRe0,fDiffFlowGenFunRe1,fDiffFlowGenFunRe2,
+fDiffFlowGenFunRe3,fDiffFlowGenFunRe4,fDiffFlowGenFunRe5,fDiffFlowGenFunRe6,fDiffFlowGenFunRe7,fDiffFlowGenFunIm0,fDiffFlowGenFunIm1,
+fDiffFlowGenFunIm2,fDiffFlowGenFunIm3,fDiffFlowGenFunIm4,fDiffFlowGenFunIm5,fDiffFlowGenFunIm6,fDiffFlowGenFunIm7);
+         
+  finalResults.Calculate();  
 }
 
+//================================================================================================================
+
+void AliFlowAnalysisWithCumulants::WriteHistograms(TString* outputFileName)
+{
+ //store the final results in output .root file
+ TFile *output = new TFile(outputFileName->Data(),"RECREATE");
+ fHistList->Write(); 
+ delete output;
+}
+
+//================================================================================================================
+
 
 
 
index e63bd00fedf8b8b56b48d31c47b9c742b730fb57..65cb8840df0bc47eb8ffb9abd3ca22fc2bffe50f 100644 (file)
@@ -42,6 +42,7 @@ class AliFlowAnalysisWithCumulants{
   virtual void CreateOutputObjects();
   virtual void Make(AliFlowEventSimple* anEvent);
   virtual void Finish();
+  virtual void WriteHistograms(TString* outputFileName);
   
   TList* GetHistList() const {return this->fHistList;}      //output histogram list
  
index e0c824230b04804e3fbc075c442adfbff51ae222..1b9d9f758129575c0354f9725e6c645dec2713d4 100644 (file)
 #include "AliFlowCommonHistResults.h"
 #include "TChain.h"
 #include "TFile.h"
-#include "TList.h" //NEW
+#include "TList.h"
 #include "TParticle.h"
 #include "TRandom3.h"
+#include "TStyle.h"
 #include "TProfile.h"
 #include "TProfile2D.h" 
 #include "TProfile3D.h"
 #include "AliFlowEventSimple.h"
 #include "AliFlowTrackSimple.h"
 #include "AliFlowAnalysisWithQCumulants.h"
+#include "AliQCumulantsFunctions.h"
 
 #include "TRandom.h"
 
@@ -61,11 +63,12 @@ ClassImp(AliFlowAnalysisWithQCumulants)
 AliFlowAnalysisWithQCumulants::AliFlowAnalysisWithQCumulants():  
  fTrack(NULL),
  fHistList(NULL),
- fAvMultIntFlow(NULL),
+ fAvMultIntFlowQC(NULL),
  fQvectorComponents(NULL),
- fIntFlowResults(NULL),
- fDiffFlowResults2ndOrder(NULL),
- fDiffFlowResults4thOrder(NULL),
+ fIntFlowResultsQC(NULL),
+ fDiffFlowResults2ndOrderQC(NULL),
+ fDiffFlowResults4thOrderQC(NULL),
+ fCovariances(NULL),
  fQCorrelations(NULL),
  fQCovariance(NULL),
  fDirectCorrelations(NULL),
@@ -82,7 +85,12 @@ AliFlowAnalysisWithQCumulants::AliFlowAnalysisWithQCumulants():
  f4_1n1n1n1n(NULL),
  fQCorrelationsPerBin(NULL),
  fCommonHists(NULL),
- abTempDeleteMe(0)
+ //fCommonHistsResults2nd(NULL),
+ //fCommonHistsResults4th(NULL),
+ //fCommonHistsResults6th(NULL),
+ f2Distribution(NULL),
+ f4Distribution(NULL),
+ f6Distribution(NULL)
 {
  //constructor 
  fHistList = new TList(); 
@@ -101,10 +109,14 @@ void AliFlowAnalysisWithQCumulants::CreateOutputObjects()
  //various output histograms
  
  //avarage multiplicity 
- fAvMultIntFlow = new TProfile("fAvMultIntFlow","Avarage multiplicity of selected particles used for int. flow",1,0,1,0,100000,"s");
- fAvMultIntFlow->SetXTitle("");
- fAvMultIntFlow->SetYTitle("<multiplicity>");
- fHistList->Add(fAvMultIntFlow);
+ fAvMultIntFlowQC = new TProfile("fAvMultIntFlowQC","Average Multiplicity",1,0,1,"s");
+ fAvMultIntFlowQC->SetXTitle("");
+ fAvMultIntFlowQC->SetYTitle("");
+ fAvMultIntFlowQC->SetLabelSize(0.06);
+ fAvMultIntFlowQC->SetMarkerStyle(25);
+ fAvMultIntFlowQC->SetLabelOffset(0.01);
+ (fAvMultIntFlowQC->GetXaxis())->SetBinLabel(1,"Average Multiplicity");
+ fHistList->Add(fAvMultIntFlowQC);
  
  //Q-vector stuff
  fQvectorComponents = new TProfile("fQvectorComponents","Avarage of Q-vector components",44,0.,44.,"s");
@@ -113,27 +125,72 @@ void AliFlowAnalysisWithQCumulants::CreateOutputObjects()
  //fHistList->Add(fQvectorComponents);
  
  //final results for integrated flow from Q-cumulants
- fIntFlowResults = new TH1D("fIntFlowResults","Integrated Flow From Q-cumulants",4,0,4);
- fIntFlowResults->SetXTitle("");
- fIntFlowResults->SetYTitle("Integrated Flow [%]");
- fHistList->Add(fIntFlowResults);
+ fIntFlowResultsQC = new TH1D("fIntFlowResultsQC","Integrated Flow from Q-cumulants",4,0,4);
+ //fIntFlowResults->SetXTitle("");
+ //fIntFlowResultsQC->SetYTitle("Integrated Flow");
+ fIntFlowResultsQC->SetLabelSize(0.06);
+ fIntFlowResultsQC->SetTickLength(1);
+ fIntFlowResultsQC->SetMarkerStyle(25);
+ (fIntFlowResultsQC->GetXaxis())->SetBinLabel(1,"v_{n}{2}");
+ (fIntFlowResultsQC->GetXaxis())->SetBinLabel(2,"v_{n}{4}");
+ (fIntFlowResultsQC->GetXaxis())->SetBinLabel(3,"v_{n}{6}");
+ (fIntFlowResultsQC->GetXaxis())->SetBinLabel(4,"v_{n}{8}");
+ //gStyle->SetErrorX(0);
+ fHistList->Add(fIntFlowResultsQC);
+
  //final results for differential flow from 2nd order Q-cumulant
- fDiffFlowResults2ndOrder = new TH1D("fDiffFlowResults2ndOrder","Differential Flow From 2nd Order Q-cumulant",10000,0,1000);
- fDiffFlowResults2ndOrder->SetXTitle("Pt [GeV]");
fDiffFlowResults2ndOrder->SetYTitle("Differential Flow [%]");
- fHistList->Add(fDiffFlowResults2ndOrder);
+ fDiffFlowResults2ndOrderQC = new TH1D("fDiffFlowResults2ndOrderQC","Differential Flow from 2nd Order Q-cumulant",10000,0,1000);
+ fDiffFlowResults2ndOrderQC->SetXTitle("p_{t} [GeV]");
//fDiffFlowResults2ndOrderQC->SetYTitle("Differential Flow");
+ fHistList->Add(fDiffFlowResults2ndOrderQC);
  
  //final results for differential flow from 4th order Q-cumulant
- fDiffFlowResults4thOrder = new TH1D("fDiffFlowResults4thOrder","Differential Flow From 4th Order Q-cumulant",10000,0,1000);
- fDiffFlowResults4thOrder->SetXTitle("Pt [GeV]");
- fDiffFlowResults4thOrder->SetYTitle("Differential Flow [%]");
- fHistList->Add(fDiffFlowResults4thOrder);
+ fDiffFlowResults4thOrderQC = new TH1D("fDiffFlowResults4thOrderQC","Differential Flow from 4th Order Q-cumulant",10000,0,1000);
+ fDiffFlowResults4thOrderQC->SetXTitle("p_{t} [GeV]");
+ //fDiffFlowResults4thOrderQC->SetYTitle("Differential Flow");
+ fHistList->Add(fDiffFlowResults4thOrderQC);
+ //final results for covariances (1st bin: <2*4>-<2>*<4>, 2nd bin: <2*6>-<2>*<6>, ...)
+ fCovariances = new TH1D("fCovariances","Covariances",6,0,6);
+ //fCovariances->SetXTitle("");
+ //fCovariances->SetYTitle("<covariance>");
+ fCovariances->SetLabelSize(0.04);
+ fCovariances->SetTickLength(1);
+ fCovariances->SetMarkerStyle(25);
+ (fCovariances->GetXaxis())->SetBinLabel(1,"Cov(2,4)");
+ (fCovariances->GetXaxis())->SetBinLabel(2,"Cov(2,6)");
+ (fCovariances->GetXaxis())->SetBinLabel(3,"Cov(2,8)");
+ (fCovariances->GetXaxis())->SetBinLabel(4,"Cov(4,6)");
+ (fCovariances->GetXaxis())->SetBinLabel(5,"Cov(4,8)");
+ (fCovariances->GetXaxis())->SetBinLabel(6,"Cov(6,8)");
+ fHistList->Add(fCovariances);
   
  //multi-particle correlations calculated from Q-vectors
  fQCorrelations = new TProfile("fQCorrelations","multi-particle correlations from Q-vectors",35,0,35,"s");
- fQCorrelations->SetXTitle("");
- fQCorrelations->SetYTitle("correlations");
+ //fQCorrelations->SetXTitle("correlations");
+ //fQCorrelations->SetYTitle("");
+ fQCorrelations->SetTickLength(-0.01,"Y");
+ fQCorrelations->SetMarkerStyle(25);
+ fQCorrelations->SetLabelSize(0.03);
+ fQCorrelations->SetLabelOffset(0.01,"Y");
+ (fQCorrelations->GetXaxis())->SetBinLabel(1,"<<2>>_{n|n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(2,"<<2>>_{2n|2n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(3,"<<2>>_{3n|3n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(4,"<<2>>_{4n|4n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(6,"<<3>>_{2n|n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(7,"<<3>>_{3n|2n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(8,"<<3>>_{4n|2n,2n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(9,"<<3>>_{4n|3n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(11,"<<4>>_{n,n|n,n}"); 
+ (fQCorrelations->GetXaxis())->SetBinLabel(12,"<<4>>_{2n,n|2n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(13,"<<4>>_{3n|n,n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(14,"<<4>>_{4n|2n,n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(15,"<<4>>_{3n,n|2n,2n}"); 
+ (fQCorrelations->GetXaxis())->SetBinLabel(16,"<<5>>_{2n|n,n,n,n}"); 
+ (fQCorrelations->GetXaxis())->SetBinLabel(17,"<<5>>_{2n,2n|2n,n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(18,"<<5>>_{3n,n|2n,n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(19,"<<5>>_{4n|n,n,n,n}");
+ (fQCorrelations->GetXaxis())->SetBinLabel(21,"<<6>>_{n,n,n|n,n,n}");
  fHistList->Add(fQCorrelations);
  
  //covariance of multi-particle correlations
@@ -150,68 +207,68 @@ void AliFlowAnalysisWithQCumulants::CreateOutputObjects()
  
  //ReD
  fReD = new TProfile("fReD","Re[D]",10000,0.,1000.,"s");
- fReD->SetXTitle("Pt");
+ fReD->SetXTitle("p_{t} [GeV]");
  fReD->SetYTitle("Re[D]");
  //fHistList->Add(fReD);
  
  //ImD
  fImD = new TProfile("fImD","Im[D]",10000,0.,1000.,"s");
- fImD->SetXTitle("Pt");
+ fImD->SetXTitle("p_{t} [GeV]");
  fImD->SetYTitle("Im[D]");
  //fHistList->Add(fImD);
  
  //fReq1n
  fReq1n = new TProfile("fReq1n","Re[q_n]",10000,0.,1000.,"s");
- fReq1n->SetXTitle("Pt");
+ fReq1n->SetXTitle("p_{t} [GeV]");
  fReq1n->SetYTitle("Re[q_n]");
  fHistList->Add(fReq1n);
  
  //fImq1n
  fImq1n = new TProfile("fImq1n","Im[q_n]",10000,0.,1000.,"s");
- fImq1n->SetXTitle("Pt");
+ fImq1n->SetXTitle("p_{t} [GeV]");
  fImq1n->SetYTitle("Im[q_n]");
  fHistList->Add(fImq1n);
  
  //fReq2n
  fReq2n = new TProfile("fReq2n","Re[q_2n]",10000,0.,1000.,"s");
- fReq2n->SetXTitle("Pt");
+ fReq2n->SetXTitle("p_{t} [GeV]");
  fReq2n->SetYTitle("Im[D]");
  fHistList->Add(fReq2n);
  
  //fImq2n
  fImq2n = new TProfile("fImq2n","Im[q_2n]",10000,0.,1000.,"s");
- fImq2n->SetXTitle("Pt");
+ fImq2n->SetXTitle("p_{t} [GeV]");
  fImq2n->SetYTitle("Im[q_2n]");
  fHistList->Add(fImq2n);
  
  //f2_1n1n
  f2_1n1n = new TProfile("f2_1n1n","<2'>_{n|n}",10000,0.,1000.,"s");
- f2_1n1n->SetXTitle("Pt");
- f2_1n1n->SetYTitle("<2'>_{n|n}");
+ f2_1n1n->SetXTitle("p_{t} [GeV]");
//f2_1n1n->SetYTitle("<2'>_{n|n}");
  fHistList->Add(f2_1n1n);
  
  //f2_2n2n
  f2_2n2n = new TProfile("f2_2n2n","<2'>_{2n|2n}",10000,0.,1000.,"s");
- f2_2n2n->SetXTitle("Pt");
- f2_2n2n->SetYTitle("<2'>_{2n|2n}");
+ f2_2n2n->SetXTitle("p_{t} [GeV]");
//f2_2n2n->SetYTitle("<2'>_{2n|2n}");
  fHistList->Add(f2_2n2n);
  
  //f3_2n1n1n
  f3_2n1n1n = new TProfile("f3_2n1n1n","<3'>_{2n|n,n}",10000,0.,1000.,"s");
- f3_2n1n1n->SetXTitle("Pt");
- f3_2n1n1n->SetYTitle("<3'>_{2n|n,n}");
+ f3_2n1n1n->SetXTitle("p_{t} [GeV]");
//f3_2n1n1n->SetYTitle("<3'>_{2n|n,n}");
  fHistList->Add(f3_2n1n1n);
  
  //f3_1n1n2n
  f3_1n1n2n = new TProfile("f3_1n1n2n","<3'>_{n,n|2n}",10000,0.,1000.,"s");
- f3_1n1n2n->SetXTitle("Pt");
- f3_1n1n2n->SetYTitle("<3'>_{n,n|2n}");
+ f3_1n1n2n->SetXTitle("p_{t} [GeV]");
//f3_1n1n2n->SetYTitle("<3'>_{n,n|2n}");
  fHistList->Add(f3_1n1n2n);
  
  //f4_1n1n1n1n
  f4_1n1n1n1n = new TProfile("f4_1n1n1n1n","<4'>_{n,n|n,n}",10000,0.,1000.,"s");
- f4_1n1n1n1n->SetXTitle("Pt");
- f4_1n1n1n1n->SetYTitle("<4'>_{n,n|n,n}");
+ f4_1n1n1n1n->SetXTitle("p_{t} [GeV]");
//f4_1n1n1n1n->SetYTitle("<4'>_{n,n|n,n}");
  fHistList->Add(f4_1n1n1n1n);
  
  //multi-particle correlations calculated from Q-vectors for each pt bin
@@ -221,8 +278,44 @@ void AliFlowAnalysisWithQCumulants::CreateOutputObjects()
  //fHistList->Add(fQCorrelationsPerBin);
  
  //common control histograms
- fCommonHists = new AliFlowCommonHist("QCumulants");
- fHistList->Add(fCommonHists->GetHistList());  
+ fCommonHists = new AliFlowCommonHist("AliFlowCommonHistQC");
+ fHistList->Add(fCommonHists);  
+ /*
+ //common histograms for final results
+ fCommonHistsResults2nd = new AliFlowCommonHistResults("AliFlowCommonHistResults2ndOrderQC");
+ fHistList->Add(fCommonHistsResults2nd); 
+ //common histograms for final results
+ fCommonHistsResults4th = new AliFlowCommonHistResults("AliFlowCommonHistResults4thOrderQC");
+ fHistList->Add(fCommonHistsResults4th);
+ //common histograms for final results
+ fCommonHistsResults6th = new AliFlowCommonHistResults("AliFlowCommonHistResults6thOrderQC");
+ fHistList->Add(fCommonHistsResults6th); 
+ //common histograms for final results
+ fCommonHistsResults8th = new AliFlowCommonHistResults("AliFlowCommonHistResults8thOrderQC");
+ fHistList->Add(fCommonHistsResults8th); 
+ */
+ //weighted <2>_{n|n} distribution
+ f2Distribution = new TH1D("f2Distribution","<2>_{n|n} distribution",100000,-0.02,0.1);
+ f2Distribution->SetXTitle("<2>_{n|n}");
+ f2Distribution->SetYTitle("Counts");
+ fHistList->Add(f2Distribution);
+
+ //weighted <4>_{n,n|n,n} distribution
+ f4Distribution = new TH1D("f4Distribution","<4>_{n,n|n,n} distribution",100000,-0.00025,0.002);
+ f4Distribution->SetXTitle("<4>_{n,n|n,n}");
+ f4Distribution->SetYTitle("Counts");
+ fHistList->Add(f4Distribution); 
+ //weighted <6>_{n,n,n|n,n,n} distribution
+ f6Distribution = new TH1D("f6Distribution","<6>_{n,n,n|n,n,n} distribution",100000,-0.000005,0.000025);
+ f6Distribution->SetXTitle("<6>_{n,n,n|n,n,n}");
+ f6Distribution->SetYTitle("Counts");
+ fHistList->Add(f6Distribution);
  
 }//end of CreateOutputObjects()
 
@@ -230,19 +323,19 @@ void AliFlowAnalysisWithQCumulants::CreateOutputObjects()
 
 void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
 {
- //running over data
-  
+ //running over data     
+          
  //get the total multiplicity of event:
  //Int_t nPrim = anEvent->NumberOfTracks();
 
- //if(nPrim>8&&nPrim<24)
+ //if(nPrim>8&&nPrim<24)  
  //{
 
  //fill the common control histograms:
- fCommonHists->FillControlHistograms(anEvent);  
  
+ fCommonHists->FillControlHistograms(anEvent); 
+
+
  //get the selected multiplicity (i.e. number of particles used for int. flow):
  //Int_t nEventNSelTracksIntFlow = anEvent->GetEventNSelTracksIntFlow();
  
@@ -272,27 +365,40 @@ void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
  //multiplicity (to be improved, because I already have nEventNSelTracksIntFlow and nPrim)
  Double_t M = Qvector1n.GetMult();
  
- fAvMultIntFlow->Fill(0.,M,1.);
+ fAvMultIntFlowQC->Fill(0.,M,1.);
  
  //---------------------------------------------------------------------------------------------------------
  //*************
  //* Q-vectors *
  //*************
- Double_t ReQ2nQ1nstarQ1nstar = pow(Qvector1n.X(),2.)*Qvector2n.X()+2.*Qvector1n.X()*Qvector1n.Y()*Qvector2n.Y()-pow(Qvector1n.Y(),2.)*Qvector2n.X();
- //Double_t ImQ2nQ1nstarQ1nstar = calculate and implement this (deleteMe)
- Double_t ReQ4nQ2nstarQ2nstar = pow(Qvector2n.X(),2.)*Qvector4n.X()+2.*Qvector2n.X()*Qvector2n.Y()*Qvector4n.Y()-pow(Qvector2n.Y(),2.)*Qvector4n.X();
+ Double_t ReQ2nQ1nstarQ1nstar = pow(Qvector1n.X(),2.)*Qvector2n.X()+2.*Qvector1n.X()*Qvector1n.Y()*Qvector2n.Y()-pow(Qvector1n.Y(),2.)*Qvector2n.X();//Re[Q_{2n} Q_{n}^* Q_{n}^*]
+ //Double_t ImQ2nQ1nstarQ1nstar = pow(Qvector1n.X(),2.)*Qvector2n.Y()-2.*Qvector1n.X()*Qvector1n.Y()*Qvector2n.X()-pow(Qvector1n.Y(),2.)*Qvector2n.Y();//Im[Q_{2n} Q_{n}^* Q_{n}^*]
+ Double_t ReQ1nQ1nQ2nstar = ReQ2nQ1nstarQ1nstar;//Re[Q_{n} Q_{n} Q_{2n}^*] = Re[Q_{2n} Q_{n}^* Q_{n}^*]
+ Double_t ReQ3nQ1nQ2nstarQ2nstar = (pow(Qvector2n.X(),2.)-pow(Qvector2n.Y(),2.))*(Qvector3n.X()*Qvector1n.X()-Qvector3n.Y()*Qvector1n.Y())+2.*Qvector2n.X()*Qvector2n.Y()*(Qvector3n.X()*Qvector1n.Y()+Qvector3n.Y()*Qvector1n.X());
+ //Double_t ImQ3nQ1nQ2nstarQ2nstar = calculate and implement this (deleteMe) 
+ Double_t ReQ2nQ2nQ3nstarQ1nstar = ReQ3nQ1nQ2nstarQ2nstar;
+ Double_t ReQ4nQ2nstarQ2nstar = pow(Qvector2n.X(),2.)*Qvector4n.X()+2.*Qvector2n.X()*Qvector2n.Y()*Qvector4n.Y()-pow(Qvector2n.Y(),2.)*Qvector4n.X();//Re[Q_{4n} Q_{2n}^* Q_{2n}^*]
  //Double_t ImQ4nQ2nstarQ2nstar = calculate and implement this (deleteMe)
- Double_t ReQ4nQ3nstarQ1nstar = Qvector4n.X()*(Qvector3n.X()*Qvector1n.X()-Qvector3n.Y()*Qvector1n.Y())+Qvector4n.Y()*(Qvector3n.X()*Qvector1n.Y()+Qvector3n.Y()*Qvector1n.X());
+ Double_t ReQ2nQ2nQ4nstar = ReQ4nQ2nstarQ2nstar;
+ Double_t ReQ4nQ3nstarQ1nstar = Qvector4n.X()*(Qvector3n.X()*Qvector1n.X()-Qvector3n.Y()*Qvector1n.Y())+Qvector4n.Y()*(Qvector3n.X()*Qvector1n.Y()+Qvector3n.Y()*Qvector1n.X());//Re[Q_{4n} Q_{3n}^* Q_{n}^*]
+ Double_t ReQ3nQ1nQ4nstar = ReQ4nQ3nstarQ1nstar;//Re[Q_{3n} Q_{n} Q_{4n}^*] = Re[Q_{4n} Q_{3n}^* Q_{n}^*]
  //Double_t ImQ4nQ3nstarQ1nstar = calculate and implement this (deleteMe)
- Double_t ReQ3nQ2nstarQ1nstar = Qvector3n.X()*Qvector2n.X()*Qvector1n.X()-Qvector3n.X()*Qvector2n.Y()*Qvector1n.Y()+Qvector3n.Y()*Qvector2n.X()*Qvector1n.Y()+Qvector3n.Y()*Qvector2n.Y()*Qvector1n.X(); //Re<Q_{3n} Q_{2n}^* Q_{n}^*>
+ Double_t ReQ3nQ2nstarQ1nstar = Qvector3n.X()*Qvector2n.X()*Qvector1n.X()-Qvector3n.X()*Qvector2n.Y()*Qvector1n.Y()+Qvector3n.Y()*Qvector2n.X()*Qvector1n.Y()+Qvector3n.Y()*Qvector2n.Y()*Qvector1n.X();//Re[Q_{3n} Q_{2n}^* Q_{n}^*]
+ Double_t ReQ2nQ1nQ3nstar = ReQ3nQ2nstarQ1nstar;//Re[Q_{2n} Q_{n} Q_{3n}^*] = Re[Q_{3n} Q_{2n}^* Q_{n}^*]
  //Double_t ImQ3nQ2nstarQ1nstar; //calculate and implement this (deleteMe)
- Double_t ReQ3nQ1nstarQ1nstarQ1nstar = Qvector3n.X()*pow(Qvector1n.X(),3)-3.*Qvector1n.X()*Qvector3n.X()*pow(Qvector1n.Y(),2)+3.*Qvector1n.Y()*Qvector3n.Y()*pow(Qvector1n.X(),2)-Qvector3n.Y()*pow(Qvector1n.Y(),3); //Re<Q_{3n} Q_{n}^* Q_{n}^* Q_{n}^*>
+ Double_t ReQ3nQ1nstarQ1nstarQ1nstar = Qvector3n.X()*pow(Qvector1n.X(),3)-3.*Qvector1n.X()*Qvector3n.X()*pow(Qvector1n.Y(),2)+3.*Qvector1n.Y()*Qvector3n.Y()*pow(Qvector1n.X(),2)-Qvector3n.Y()*pow(Qvector1n.Y(),3);//Re[Q_{3n} Q_{n}^* Q_{n}^* Q_{n}^*]
  //Double_t ImQ3nQ1nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe)
- Double_t Q2nQ1nQ2nstarQ1nstar = pow(Qvector2n.Mod()*Qvector1n.Mod(),2); //<|Q_{2n}|^2 |Q_{n}|^2>
- Double_t ReQ4nQ2nstarQ1nstarQ1nstar = (Qvector4n.X()*Qvector2n.X()+Qvector4n.Y()*Qvector2n.Y())*(pow(Qvector1n.X(),2)-pow(Qvector1n.Y(),2))+2.*Qvector1n.X()*Qvector1n.Y()*(Qvector4n.Y()*Qvector2n.X()-Qvector4n.X()*Qvector2n.Y()); //Re<Q_{4n} Q_{2n}^* Q_{n}^* Q_{n}^*> 
+ Double_t Q2nQ1nQ2nstarQ1nstar = pow(Qvector2n.Mod()*Qvector1n.Mod(),2);//|Q_{2n}|^2 |Q_{n}|^2
+ Double_t ReQ4nQ2nstarQ1nstarQ1nstar = (Qvector4n.X()*Qvector2n.X()+Qvector4n.Y()*Qvector2n.Y())*(pow(Qvector1n.X(),2)-pow(Qvector1n.Y(),2))+2.*Qvector1n.X()*Qvector1n.Y()*(Qvector4n.Y()*Qvector2n.X()-Qvector4n.X()*Qvector2n.Y());//Re[Q_{4n} Q_{2n}^* Q_{n}^* Q_{n}^*] 
  //Double_t ImQ4nQ2nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe)
- Double_t ReQ2nQ1nQ1nstarQ1nstarQ1nstar = (Qvector2n.X()*Qvector1n.X()-Qvector2n.Y()*Qvector1n.Y())*(pow(Qvector1n.X(),3)-3.*Qvector1n.X()*pow(Qvector1n.Y(),2))+(Qvector2n.X()*Qvector1n.Y()+Qvector1n.X()*Qvector2n.Y())*(3.*Qvector1n.Y()*pow(Qvector1n.X(),2)-pow(Qvector1n.Y(),3));
+ Double_t ReQ2nQ1nQ1nstarQ1nstarQ1nstar = (Qvector2n.X()*Qvector1n.X()-Qvector2n.Y()*Qvector1n.Y())*(pow(Qvector1n.X(),3)-3.*Qvector1n.X()*pow(Qvector1n.Y(),2))+(Qvector2n.X()*Qvector1n.Y()+Qvector1n.X()*Qvector2n.Y())*(3.*Qvector1n.Y()*pow(Qvector1n.X(),2)-pow(Qvector1n.Y(),3));//Re[Q_{2n} Q_{n} Q_{n}^* Q_{n}^* Q_{n}^*]
  //Double_t ImQ2nQ1nQ1nstarQ1nstarQ1nstar; //calculate and implement this (deleteMe)
+ Double_t ReQ2nQ2nQ2nstarQ1nstarQ1nstar = pow(Qvector2n.Mod(),2.)*(Qvector2n.X()*(pow(Qvector1n.X(),2.)-pow(Qvector1n.Y(),2.))+2.*Qvector2n.Y()*Qvector1n.X()*Qvector1n.Y());//Re[Q_{2n} Q_{2n} Q_{2n}^* Q_{n}^* Q_{n}^*]
+ //Double_t ImQ2nQ2nQ2nstarQ1nstarQ1nstar = pow(Qvector2n.Mod(),2.)*(Qvector2n.Y()*(pow(Qvector1n.X(),2.)-pow(Qvector1n.Y(),2.))-2.*Qvector2n.X()*Qvector1n.X()*Qvector1n.Y());//Im[Q_{2n} Q_{2n} Q_{2n}^* Q_{n}^* Q_{n}^*]
+ Double_t ReQ4nQ1nstarQ1nstarQ1nstarQ1nstar = pow(Qvector1n.X(),4.)*Qvector4n.X()-6.*pow(Qvector1n.X(),2.)*Qvector4n.X()*pow(Qvector1n.Y(),2.)+pow(Qvector1n.Y(),4.)*Qvector4n.X()+4.*pow(Qvector1n.X(),3.)*Qvector1n.Y()*Qvector4n.Y()-4.*pow(Qvector1n.Y(),3.)*Qvector1n.X()*Qvector4n.Y();
+ //Double_t ImQ4nQ1nstarQ1nstarQ1nstarQ1nstar = pow(Qvector1n.X(),4.)*Qvector4n.Y()-6.*pow(Qvector1n.X(),2.)*Qvector4n.Y()*pow(Qvector1n.Y(),2.)+pow(Qvector1n.Y(),4.)*Qvector4n.Y()+4.*pow(Qvector1n.Y(),3.)*Qvector1n.X()*Qvector4n.X()-4.*pow(Qvector1n.X(),3.)*Qvector1n.Y()*Qvector4n.X();
+
  //---------------------------------------------------------------------------------------------------------
  
  //---------------------------------------------------------------------------------------------------------
@@ -313,9 +419,16 @@ void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
  //12th bin: <4>_{2n,n|2n,n} = four_2n1n2n1n
  //13th bin: <4>_{3n|n,n,n} = four_3n1n1n1n
  //14th bin: <4>_{4n|2n,n,n} = four_4n2n1n1n
+ //15th bin: <4>_{3n,n|2n,2n} = four_3n1n2n2n
  //16th bin: <5>_{2n|n,n,n,n} = five_2n1n1n1n1n
+ //17th bin: <5>_{2n,2n|2n,n,n} = five_2n2n2n1n1n
+ //18th bin: <5>_{3n,n|2n,n,n} = five_3n1n2n1n1n
+ //19th bin: <5>_{4n|n,n,n,n} = five_4n1n1n1n1n  
  //21th bin: <6>_{n,n,n|n,n,n} = six_1n1n1n1n1n1n
  
+ //31th bin: <4>_{2n,2n|2n,2n} = four_2n2n2n2n //to be improved
+ //32nd bin: <4>_{3n,n|3n,n} = four_3n1n3n1n   //to be improved
  // binning of fQCovariance: 
  // 1st bin: <2>_{n|n}*<4>_{n,n|n,n}
  // 2nd bin: <2>_{n|n}*<6>_{n,n,n|n,n,n} 
@@ -330,11 +443,13 @@ void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
   two_2n2n = (pow(Qvector2n.Mod(),2.)-M)/(M*(M-1.)); //<2>_{2n|2n} = <cos(2n*(phi1-phi2))>
   two_3n3n = (pow(Qvector3n.Mod(),2.)-M)/(M*(M-1.)); //<2>_{3n|3n} = <cos(3n*(phi1-phi2))>
   two_4n4n = (pow(Qvector4n.Mod(),2.)-M)/(M*(M-1.)); //<2>_{4n|4n} = <cos(4n*(phi1-phi2))>
+    
   fQCorrelations->Fill(0.,two_1n1n,M*(M-1.)); 
   fQCorrelations->Fill(1.,two_2n2n,M*(M-1.)); 
   fQCorrelations->Fill(2.,two_3n3n,M*(M-1.)); 
   fQCorrelations->Fill(3.,two_4n4n,M*(M-1.)); 
+  
+  f2Distribution->Fill(two_1n1n,M*(M-1.)); 
  }
  
  //3-particle
@@ -353,37 +468,62 @@ void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
  }
  
  //4-particle
- Double_t four_1n1n1n1n=0., four_2n1n2n1n=0., four_3n1n1n1n=0., four_4n2n1n1n=0.;  
+ Double_t four_1n1n1n1n=0., four_2n2n2n2n=0., four_2n1n2n1n=0., four_3n1n1n1n=0., four_4n2n1n1n=0., four_3n1n2n2n=0., four_3n1n3n1n=0.;  
  if(M>3)
  {
-  four_1n1n1n1n = (2.*M*(M-3.)+pow(Qvector1n.Mod(),4.)-4.*(M-2.)*pow(Qvector1n.Mod(),2.)-2.*ReQ2nQ1nstarQ1nstar+pow(Qvector2n.Mod(),2.))/(M*(M-1)*(M-2.)*(M-3.)); //<4>_{n,n|n,n}
-  four_2n1n2n1n = (Q2nQ1nQ2nstarQ1nstar-2.*ReQ3nQ2nstarQ1nstar-2.*ReQ2nQ1nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.))-((M-5.)*pow(Qvector1n.Mod(),2.)+(M-4.)*pow(Qvector2n.Mod(),2.)-pow(Qvector3n.Mod(),2.))/(M*(M-1.)*(M-2.)*(M-3.))+(M-6.)/((M-1.)*(M-2.)*(M-3.)); //Re[<4>_{2n,n|2n,n}]
-  four_3n1n1n1n = (ReQ3nQ1nstarQ1nstarQ1nstar-3.*ReQ3nQ2nstarQ1nstar-3.*ReQ2nQ1nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.))+(2.*pow(Qvector3n.Mod(),2.)+3.*pow(Qvector2n.Mod(),2.)+6.*pow(Qvector1n.Mod(),2.)-6.*M)/(M*(M-1.)*(M-2.)*(M-3.)); //Re[<4>_{3n|n,n,n}]
-  four_4n2n1n1n = (ReQ4nQ2nstarQ1nstarQ1nstar-M*(M-1.)*(M-2.)*(2.*three_3n2n1n+2.*three_4n3n1n+three_4n2n2n+three_2n1n1n)-M*(M-1.)*(2.*two_1n1n+2.*two_2n2n+2*two_3n3n+two_4n4n)-M)/(M*(M-1.)*(M-2.)*(M-3.)); //Re[<4>_{4n|2n,n,n}]
-
-  fQCorrelations->Fill(10.,four_1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.)); 
+  four_1n1n1n1n = (2.*M*(M-3.)+pow(Qvector1n.Mod(),4.)-4.*(M-2.)*pow(Qvector1n.Mod(),2.)-2.*ReQ2nQ1nstarQ1nstar+pow(Qvector2n.Mod(),2.))/(M*(M-1)*(M-2.)*(M-3.));//<4>_{n,n|n,n}
+  four_2n2n2n2n = (2.*M*(M-3.)+pow(Qvector2n.Mod(),4.)-4.*(M-2.)*pow(Qvector2n.Mod(),2.)-2.*ReQ4nQ2nstarQ2nstar+pow(Qvector4n.Mod(),2.))/(M*(M-1)*(M-2.)*(M-3.));//<4>_{2n,2n|2n,2n}
+  four_2n1n2n1n = (Q2nQ1nQ2nstarQ1nstar-2.*ReQ3nQ2nstarQ1nstar-2.*ReQ2nQ1nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.))-((M-5.)*pow(Qvector1n.Mod(),2.)+(M-4.)*pow(Qvector2n.Mod(),2.)-pow(Qvector3n.Mod(),2.))/(M*(M-1.)*(M-2.)*(M-3.))+(M-6.)/((M-1.)*(M-2.)*(M-3.));//Re[<4>_{2n,n|2n,n}]
+  four_3n1n1n1n = (ReQ3nQ1nstarQ1nstarQ1nstar-3.*ReQ3nQ2nstarQ1nstar-3.*ReQ2nQ1nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.))+(2.*pow(Qvector3n.Mod(),2.)+3.*pow(Qvector2n.Mod(),2.)+6.*pow(Qvector1n.Mod(),2.)-6.*M)/(M*(M-1.)*(M-2.)*(M-3.));//Re[<4>_{3n|n,n,n}]
+  four_4n2n1n1n = (ReQ4nQ2nstarQ1nstarQ1nstar-2.*ReQ4nQ3nstarQ1nstar-ReQ4nQ2nstarQ2nstar-2.*ReQ3nQ2nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.))-(ReQ2nQ1nstarQ1nstar-2.*pow(Qvector4n.Mod(),2.)-2.*pow(Qvector3n.Mod(),2.)-3.*pow(Qvector2n.Mod(),2.)-4.*pow(Qvector1n.Mod(),2.))/(M*(M-1.)*(M-2.)*(M-3.))-(6.)/((M-1.)*(M-2.)*(M-3.));//Re[<4>_{4n|2n,n,n}]
+  four_3n1n2n2n = (ReQ3nQ1nQ2nstarQ2nstar-ReQ4nQ2nstarQ2nstar-ReQ3nQ1nQ4nstar-2.*ReQ3nQ2nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.))-(2.*ReQ1nQ1nQ2nstar-pow(Qvector4n.Mod(),2.)-2.*pow(Qvector3n.Mod(),2.)-4.*pow(Qvector2n.Mod(),2.)-4.*pow(Qvector1n.Mod(),2.))/(M*(M-1.)*(M-2.)*(M-3.))-(6.)/((M-1.)*(M-2.)*(M-3.));//Re[<4>_{3n,n|2n,2n}] 
+  four_3n1n3n1n = (pow(Qvector3n.Mod(),2.)*pow(Qvector1n.Mod(),2.)-2.*ReQ4nQ3nstarQ1nstar-2.*ReQ3nQ2nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.))+(pow(Qvector4n.Mod(),2.)-(M-4.)*pow(Qvector3n.Mod(),2.)+pow(Qvector2n.Mod(),2.)-(M-4.)*pow(Qvector1n.Mod(),2.))/(M*(M-1.)*(M-2.)*(M-3.))+(M-6.)/((M-1.)*(M-2.)*(M-3.));//<4>_{3n,n|3n,n}
+  //four_3n1n3n1n = Q3nQ1nQ3nstarQ1nstar/(M*(M-1.)*(M-2.)*(M-3.))-(2.*three_3n2n1n+2.*three_4n3n1n)/(M-3.)-(two_4n4n+M*two_3n3n+two_2n2n+M*two_1n1n)/((M-2.)*(M-3.))-M/((M-1.)*(M-2.)*(M-3.));//<4>_{3n,n|3n,n}
+  
+  fQCorrelations->Fill(10.,four_1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.));
+  
+  fQCorrelations->Fill(30.,four_2n2n2n2n,M*(M-1.)*(M-2.)*(M-3.));//to be improved
+  fQCorrelations->Fill(31.,four_3n1n3n1n,M*(M-1.)*(M-2.)*(M-3.));//to be improved 
+    
   fQCorrelations->Fill(11.,four_2n1n2n1n,M*(M-1.)*(M-2.)*(M-3.));
   fQCorrelations->Fill(12.,four_3n1n1n1n,M*(M-1.)*(M-2.)*(M-3.));
-  fQCorrelations->Fill(13.,four_4n2n1n1n,M*(M-1.)*(M-2.)*(M-3.));
+  fQCorrelations->Fill(13.,four_4n2n1n1n,M*(M-1.)*(M-2.)*(M-3.)); 
+  fQCorrelations->Fill(14.,four_3n1n2n2n,M*(M-1.)*(M-2.)*(M-3.));
   
+  f4Distribution->Fill(four_1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.));  
+     
   fQCovariance->Fill(0.,two_1n1n*four_1n1n1n1n,M*(M-1.)*M*(M-1.)*(M-2.)*(M-3.));
  }
 
  //5-particle
- //if(M>4)
- //{
-  //temporarily, doesn't work with above scoping 
-  //Double_t five_2n1n1n1n1n = (ReQ2nQ1nQ1nstarQ1nstarQ1nstar-M*(M-1.)*(M-2.)*(M-3.)*(four_3n1n1n1n+3.*four_1n1n1n1n+3.*four_2n1n2n1n)-M*(M-1.)*(M-2.)*(3.*M*three_2n1n1n+4.*three_3n2n1n)-M*(M-1.)*((9.*M-11.)*two_1n1n+(3.*M-2.)*two_2n2n+two_3n3n)-M*(3.*M-2.))/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.)); //Re[<5>_{2n,n|n,n,n}]
-  //fQCorrelations->Fill(15.,five_2n1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.)*(M-4.)); 
- //}
+ Double_t five_2n1n1n1n1n=0., five_2n2n2n1n1n=0., five_3n1n2n1n1n=0., five_4n1n1n1n1n=0.;
+ if(M>4)
+ {
+  five_2n1n1n1n1n = (ReQ2nQ1nQ1nstarQ1nstarQ1nstar-ReQ3nQ1nstarQ1nstarQ1nstar+6.*ReQ3nQ2nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))-(ReQ2nQ1nQ3nstar+3.*(M-6.)*ReQ2nQ1nstarQ1nstar+3.*ReQ1nQ1nQ2nstar)/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))-(2.*pow(Qvector3n.Mod(),2.)+3.*pow(Qvector2n.Mod()*Qvector1n.Mod(),2.)-3.*(M-4.)*pow(Qvector2n.Mod(),2.))/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))-3.*(pow(Qvector1n.Mod(),4.)-2.*(2*M-5.)*pow(Qvector1n.Mod(),2.)+2.*M*(M-4.))/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.));//Re[<5>_{2n,n|n,n,n}]
+  
+  five_2n2n2n1n1n = (ReQ2nQ2nQ2nstarQ1nstarQ1nstar-ReQ4nQ2nstarQ1nstarQ1nstar-2.*ReQ2nQ2nQ3nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))+2.*(ReQ4nQ2nstarQ2nstar+4.*ReQ3nQ2nstarQ1nstar+ReQ3nQ1nQ4nstar)/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))+(ReQ2nQ2nQ4nstar-2.*(M-5.)*ReQ2nQ1nstarQ1nstar+2.*ReQ1nQ1nQ2nstar)/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))-(2.*pow(Qvector4n.Mod(),2.)+4.*pow(Qvector3n.Mod(),2.)+1.*pow(Qvector2n.Mod(),4.)-2.*(3.*M-10.)*pow(Qvector2n.Mod(),2.))/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))-(4.*pow(Qvector1n.Mod(),2.)*pow(Qvector2n.Mod(),2.)-4.*(M-5.)*pow(Qvector1n.Mod(),2.)+4.*M*(M-6.))/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.));//Re[<5>_{2n,2n|2n,n,n}]  
+
+  //five_2n2n2n1n1n = ReQ2nQ2nQ2nstarQ1nstarQ1nstar/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))-(4.*four_2n1n2n1n+2.*four_3n1n2n2n+1.*four_2n2n2n2n+four_4n2n1n1n)/(M-4.)-(2.*three_4n3n1n+three_4n2n2n+three_4n2n2n+2.*three_3n2n1n)/((M-3.)*(M-4.))-(4.*three_3n2n1n+(2.*M-1.)*three_2n1n1n+2.*three_2n1n1n)/((M-3.)*(M-4.))-(two_4n4n+2.*two_3n3n+4.*(M-1.)*two_2n2n+2.*(2.*M-1.)*two_1n1n)/((M-2.)*(M-3.)*(M-4.))-(2.*M-1.)/((M-1.)*(M-2.)*(M-3.)*(M-4.));  
+   
+  five_4n1n1n1n1n = (ReQ4nQ1nstarQ1nstarQ1nstarQ1nstar-6.*ReQ4nQ2nstarQ1nstarQ1nstar-4.*ReQ3nQ1nstarQ1nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))+(8.*ReQ4nQ3nstarQ1nstar+3.*ReQ4nQ2nstarQ2nstar+12.*ReQ3nQ2nstarQ1nstar+12.*ReQ2nQ1nstarQ1nstar)/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.))-(6.*pow(Qvector4n.Mod(),2.)+8.*pow(Qvector3n.Mod(),2.)+12.*pow(Qvector2n.Mod(),2.)+24.*pow(Qvector1n.Mod(),2.)-24.*M)/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.));//Re[<5>_{4n|n,n,n,n}] 
+  
+  //five_4n1n1n1n1n = ReQ4nQ1nstarQ1nstarQ1nstarQ1nstar/(M*(M-1.)*(M-2.)*(M-3.)*(M-4.)) -  (4.*four_3n1n1n1n+6.*four_4n2n1n1n)/(M-4.)  -  (6.*three_2n1n1n  + 12.*three_3n2n1n + 4.*three_4n3n1n + 3.*three_4n2n2n)/((M-3.)*(M-4.))  -  (4.*two_1n1n + 6.*two_2n2n + 4.*two_3n3n + 1.*two_4n4n)/((M-2.)*(M-3.)*(M-4.)) - 1./((M-1.)*(M-2.)*(M-3.)*(M-4.));
+  
+  fQCorrelations->Fill(15.,five_2n1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.)*(M-4.)); 
+  fQCorrelations->Fill(16.,five_2n2n2n1n1n,M*(M-1.)*(M-2.)*(M-3.)*(M-4.));
+  fQCorrelations->Fill(17.,five_3n1n2n1n1n,M*(M-1.)*(M-2.)*(M-3.)*(M-4.));
+  fQCorrelations->Fill(18.,five_4n1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.)*(M-4.));
+ }
 
  //6-particle
+ Double_t six_1n1n1n1n1n1n=0.;
  if(M>5)
  {
-  Double_t six_1n1n1n1n1n1n = (pow(Qvector1n.Mod(),6.)+9.*Q2nQ1nQ2nstarQ1nstar-6.*ReQ2nQ1nQ1nstarQ1nstarQ1nstar)/(M*(M-1)*(M-2)*(M-3)*(M-4)*(M-5)) + 4.*(ReQ3nQ1nstarQ1nstarQ1nstar-3.*ReQ3nQ2nstarQ1nstar)/(M*(M-1)*(M-2)*(M-3)*(M-4)*(M-5)) + 2.*(9.*(M-4.)*ReQ2nQ1nstarQ1nstar+2.*pow(Qvector3n.Mod(),2.))/(M*(M-1)*(M-2)*(M-3)*(M-4)*(M-5)) - 9.*(pow(Qvector1n.Mod(),4.)+pow(Qvector2n.Mod(),2.))/(M*(M-1)*(M-2)*(M-3)*(M-5)) + (18.*pow(Qvector1n.Mod(),2.))/(M*(M-1)*(M-3)*(M-4)) - (6.)/((M-1)*(M-2)*(M-3)); //<6>_{n,n,n|n,n,n}
+  six_1n1n1n1n1n1n = (pow(Qvector1n.Mod(),6.)+9.*Q2nQ1nQ2nstarQ1nstar-6.*ReQ2nQ1nQ1nstarQ1nstarQ1nstar)/(M*(M-1)*(M-2)*(M-3)*(M-4)*(M-5))+4.*(ReQ3nQ1nstarQ1nstarQ1nstar-3.*ReQ3nQ2nstarQ1nstar)/(M*(M-1)*(M-2)*(M-3)*(M-4)*(M-5))+2.*(9.*(M-4.)*ReQ2nQ1nstarQ1nstar+2.*pow(Qvector3n.Mod(),2.))/(M*(M-1)*(M-2)*(M-3)*(M-4)*(M-5))-9.*(pow(Qvector1n.Mod(),4.)+pow(Qvector2n.Mod(),2.))/(M*(M-1)*(M-2)*(M-3)*(M-5))+(18.*pow(Qvector1n.Mod(),2.))/(M*(M-1)*(M-3)*(M-4))-(6.)/((M-1)*(M-2)*(M-3));//<6>_{n,n,n|n,n,n}
+  
+  fQCorrelations->Fill(20.,six_1n1n1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.)*(M-4.)*(M-5.));  
   
-  fQCorrelations->Fill(20.,six_1n1n1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.)*(M-4.)*(M-5.)); 
+  f6Distribution->Fill(six_1n1n1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.)*(M-4.)*(M-5.)); 
   
   fQCovariance->Fill(1.,two_1n1n*six_1n1n1n1n1n1n,M*(M-1.)*M*(M-1.)*(M-2.)*(M-3.)*(M-4.)*(M-5.));
   fQCovariance->Fill(2.,four_1n1n1n1n*six_1n1n1n1n1n1n,M*(M-1.)*(M-2.)*(M-3.)*M*(M-1.)*(M-2.)*(M-3.)*(M-4.)*(M-5.));
@@ -398,16 +538,19 @@ void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
  Double_t Q_y = Qvector1n.Y();
  Double_t Q_2x = Qvector2n.X();
  Double_t Q_2y = Qvector2n.Y();
+
  Double_t q_x=0.,q_y=0.,q_2x=0.,q_2y=0.,m=0.;
  
  for(Int_t i=0;i<M;i++) //check if nPrim == M
  { 
   fTrack=anEvent->GetTrack(i);
-  fReq1n->Fill(fTrack->Pt(),cos(n*(fTrack->Phi())),1.);
-  fImq1n->Fill(fTrack->Pt(),sin(n*(fTrack->Phi())),1.);
-  fReq2n->Fill(fTrack->Pt(),cos(2.*n*(fTrack->Phi())),1.);
-  fImq2n->Fill(fTrack->Pt(),sin(2.*n*(fTrack->Phi())),1.);
+  if(fTrack)
+  {
+   fReq1n->Fill(fTrack->Pt(),cos(n*(fTrack->Phi())),1.);
+   fImq1n->Fill(fTrack->Pt(),sin(n*(fTrack->Phi())),1.);
+   fReq2n->Fill(fTrack->Pt(),cos(2.*n*(fTrack->Phi())),1.);
+   fImq2n->Fill(fTrack->Pt(),sin(2.*n*(fTrack->Phi())),1.);
+  }
  } 
   
  Double_t twoDiff_1n1n=0.,twoDiff_2n2n=0.,threeDiff_2n1n1n=0.,threeDiff_1n1n2n=0.,fourDiff_1n1n1n1n=0.;
@@ -471,36 +614,6 @@ void AliFlowAnalysisWithQCumulants::Make(AliFlowEventSimple* anEvent)
 
 
 
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
 
 
  
@@ -840,8 +953,8 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
 
 
 
-/*
 
+/*
 
 
 
@@ -872,9 +985,18 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
  //12th bin: <4>_{2n,n|2n,n}
  //13th bin: <4>_{3n|n,n,n}
  //14th bin: <4>_{4n|2n,n,n}
- //16th bin: <5>_{2n|n,n,n,n}
+ //15th bin: <4>_{3n,n|2n,2n}
+ //16th bin: <5>_{2n,n|n,n,n}
+ //17th bin: <5>_{2n,2n|2n,n,n}
+ //18th bin: <5>_{3n,n|2n,n,n}
+ //19th bin: <5>_{4n|n,n,n,n}
  //21th bin: <6>_{n,n,n|n,n,n}
  
+ //31th bin: <4>_{2n,2n|2n,2n} //to be improved
+ //32nd bin: <4>_{3n,n|3n,n}   //to be improved
  //differential flow
  //41st bin: <2'>_{n|n}
  //42nd bin: <2'>_{2n|2n}
@@ -896,14 +1018,14 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
    if(j==i)continue;
    fTrack=anEvent->GetTrack(j);
    phi2=fTrack->Phi();
-   fDirectCorrelations->Fill(0.,cos(n*(phi1-phi2)),1);    //<2>_{n,n}
-   fDirectCorrelations->Fill(1.,cos(2.*n*(phi1-phi2)),1); //<2>_{2n,2n}
-   fDirectCorrelations->Fill(2.,cos(3.*n*(phi1-phi2)),1); //<2>_{3n,3n}
-   fDirectCorrelations->Fill(3.,cos(4.*n*(phi1-phi2)),1); //<2>_{4n,4n} 
+   fDirectCorrelations->Fill(0.,cos(n*(phi1-phi2)),1);    //<2>_{n|n}
+   fDirectCorrelations->Fill(1.,cos(2.*n*(phi1-phi2)),1); //<2>_{2n|2n}
+   fDirectCorrelations->Fill(2.,cos(3.*n*(phi1-phi2)),1); //<2>_{3n|3n}
+   fDirectCorrelations->Fill(3.,cos(4.*n*(phi1-phi2)),1); //<2>_{4n|4n} 
   }
  }  
      
- //<3>_{2n,n,n}, <3>_{3n|2n,n}, <3>_{4n,2n,2n} and <3>_{4n,3n,n}
+ //<3>_{2n|n,n}, <3>_{3n|2n,n}, <3>_{4n|2n,2n} and <3>_{4n|3n,n}
  for(Int_t i=0;i<M;i++)
  {
   fTrack=anEvent->GetTrack(i);
@@ -918,15 +1040,15 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
     if(k==i||k==j)continue;
     fTrack=anEvent->GetTrack(k);
     phi3=fTrack->Phi();
-    fDirectCorrelations->Fill(5.,cos(2*n*phi1-n*(phi2+phi3)),1);        //<3>_{2n,n,n}
-    fDirectCorrelations->Fill(6.,cos(3.*n*phi1-2.*n*phi2-n*phi3),1);    //<3>_{3n,2n,n}
-    fDirectCorrelations->Fill(7.,cos(4.*n*phi1-2.*n*phi2-2.*n*phi3),1); //<3>_{4n,2n,2n}
-    fDirectCorrelations->Fill(8.,cos(4.*n*phi1-3.*n*phi2-n*phi3),1);    //<3>_{4n,3n,n}
+    fDirectCorrelations->Fill(5.,cos(2*n*phi1-n*(phi2+phi3)),1);        //<3>_{2n|n,n}
+    fDirectCorrelations->Fill(6.,cos(3.*n*phi1-2.*n*phi2-n*phi3),1);    //<3>_{3n|2n,n}
+    fDirectCorrelations->Fill(7.,cos(4.*n*phi1-2.*n*phi2-2.*n*phi3),1); //<3>_{4n|2n,2n}
+    fDirectCorrelations->Fill(8.,cos(4.*n*phi1-3.*n*phi2-n*phi3),1);    //<3>_{4n|3n,n}
    }
   }
  }
   
- //<4>_{n,n,n,n}, <4>_{2n,n,2n,n}, <4>_{3n,n,n,n} and <4>_{4n,2n,n,n}
+ //<4>_{n,n|n,n}, <4>_{2n,n|2n,n}, <4>_{3n|n,n,n}, <4>_{4n|2n,n,n}, <4>_{2n,2n|2n,2n} and <4>_{3n,n|3n,n}
  for(Int_t i=0;i<M;i++)
  {
   fTrack=anEvent->GetTrack(i);
@@ -946,10 +1068,13 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
      if(l==i||l==j||l==k)continue;
      fTrack=anEvent->GetTrack(l);
      phi4=fTrack->Phi();
-     fDirectCorrelations->Fill(10.,cos(n*phi1+n*phi2-n*phi3-n*phi4),1);       //<4>_{n,n,n,n}
-     fDirectCorrelations->Fill(11.,cos(2.*n*phi1+n*phi2-2.*n*phi3-n*phi4),1); //<4>_{2n,n,2n,n}
-     fDirectCorrelations->Fill(12.,cos(3.*n*phi1-n*phi2-n*phi3-n*phi4),1);    //<4>_{3n,n,n,n}
-     fDirectCorrelations->Fill(13.,cos(4.*n*phi1-2.*n*phi2-n*phi3-n*phi4),1); //<4>_{4n,2n,n,n}
+     fDirectCorrelations->Fill(10.,cos(n*phi1+n*phi2-n*phi3-n*phi4),1);          //<4>_{n,n|n,n}
+     fDirectCorrelations->Fill(11.,cos(2.*n*phi1+n*phi2-2.*n*phi3-n*phi4),1);    //<4>_{2n,n|2n,n}
+     fDirectCorrelations->Fill(12.,cos(3.*n*phi1-n*phi2-n*phi3-n*phi4),1);       //<4>_{3n|n,n,n}
+     fDirectCorrelations->Fill(13.,cos(4.*n*phi1-2.*n*phi2-n*phi3-n*phi4),1);    //<4>_{4n|2n,n,n}
+     fDirectCorrelations->Fill(14.,cos(3.*n*phi1+n*phi2-2.*n*phi3-2.*n*phi4),1); //<4>_{3n,n|2n,2n}
+     fDirectCorrelations->Fill(30.,cos(2.*n*phi1+2*n*phi2-2.*n*phi3-2.*n*phi4),1); //<4>_{2n,2n|2n,2n}//to be improved
+     fDirectCorrelations->Fill(31.,cos(3.*n*phi1+n*phi2-3.*n*phi3-n*phi4),1);      //<4>_{3n,n|3n,n}//to be improved
     }  
    }
   }
@@ -960,7 +1085,6 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
  
  
 
- */
  
  
  
@@ -968,34 +1092,38 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
  
  
  
- /*
  //<5>_{2n,n,n,n,n}
- for(Int_t i=0;i<nPrim;i++)
+ for(Int_t i=0;i<M;i++)
  {
   cout<<"i = "<<i<<endl;
   fTrack=anEvent->GetTrack(i);
   phi1=fTrack->Phi();
-  for(Int_t j=0;j<nPrim;j++)
+  for(Int_t j=0;j<M;j++)
   {
    if(j==i)continue;
    fTrack=anEvent->GetTrack(j);
    phi2=fTrack->Phi();
-   for(Int_t k=0;k<nPrim;k++)
+   for(Int_t k=0;k<M;k++)
    {
     if(k==i||k==j)continue;
     fTrack=anEvent->GetTrack(k);
     phi3=fTrack->Phi();
-    for(Int_t l=0;l<nPrim;l++)
+    for(Int_t l=0;l<M;l++)
     {
      if(l==i||l==j||l==k)continue;
      fTrack=anEvent->GetTrack(l);
      phi4=fTrack->Phi();
-     for(Int_t m=0;m<nPrim;m++)
+     for(Int_t m=0;m<M;m++)
      {
       if(m==i||m==j||m==k||m==l)continue;
       fTrack=anEvent->GetTrack(m);
       phi5=fTrack->Phi();
-      fDirectCorrelations->Fill(15.,cos(2.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5),1); //<5>_{2n,n,n,n,n}
+      fDirectCorrelations->Fill(15.,cos(2.*n*phi1+n*phi2-n*phi3-n*phi4-n*phi5),1);      //<5>_{2n,n|n,n,n}
+      fDirectCorrelations->Fill(16.,cos(2.*n*phi1+2.*n*phi2-2.*n*phi3-n*phi4-n*phi5),1);//<5>_{2n,2n|2n,n,n}
+      fDirectCorrelations->Fill(17.,cos(3.*n*phi1+n*phi2-2.*n*phi3-n*phi4-n*phi5),1);   //<5>_{3n,n|2n,n,n}
+      fDirectCorrelations->Fill(18.,cos(4.*n*phi1-n*phi2-n*phi3-n*phi4-n*phi5),1);      //<5>_{4n|n,n,n,n}
      }
     }  
    }
@@ -1003,6 +1131,12 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
  }
  
  
+
+ */
+
+
+ /*
  
  //<6>_{n,n,n,n,n,n}
  for(Int_t i=0;i<nPrim;i++)
@@ -1166,23 +1300,23 @@ fQCorrelations->Fill(32,threeDiff_2n_n_n,mm*(Mhere-1.)*(Mhere-2.));//<3'>_{2n|n,
 
 void AliFlowAnalysisWithQCumulants::Finish()
 {
- //not needed for the time being...
+ //calculate the final results
+ //AliQCumulantsFunctions finalResults(fIntFlowResultsQC,fDiffFlowResults2ndOrderQC,fDiffFlowResults4thOrderQC,fCovariances,fAvMultIntFlowQC,fQvectorComponents,fQCorrelations,fQCovariance, fQCorrelationsPerBin,fDirectCorrelations,f2_1n1n,f2_2n2n,f3_2n1n1n,f3_1n1n2n, f4_1n1n1n1n,fCommonHistsResults2nd,fCommonHistsResults4th,fCommonHistsResults6th,fCommonHistsResults8th);
+ AliQCumulantsFunctions finalResults(fIntFlowResultsQC,fDiffFlowResults2ndOrderQC,fDiffFlowResults4thOrderQC,fCovariances,fAvMultIntFlowQC,fQvectorComponents,fQCorrelations,fQCovariance, fQCorrelationsPerBin,fDirectCorrelations,f2_1n1n,f2_2n2n,f3_2n1n1n,f3_1n1n2n, f4_1n1n1n1n);
+         
+ finalResults.Calculate();  
 }
 
+//================================================================================================================
 
+void AliFlowAnalysisWithQCumulants::WriteHistograms(TString* outputFileName)
+{
+ //store the final results in output .root file
+ TFile *output = new TFile(outputFileName->Data(),"RECREATE");
+ fHistList->Write(); 
+ delete output;
+}
 
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+//================================================================================================================
 
index a41e0652f43ae0f85083f37d14d7e09686aa8694..33caf1ff1f2f36bc94da2e3bcd5df51d20a82c6e 100644 (file)
@@ -41,26 +41,27 @@ class AliFlowAnalysisWithQCumulants{
   virtual void CreateOutputObjects();
   virtual void Make(AliFlowEventSimple* anEvent);
   virtual void Finish();
+  virtual void WriteHistograms(TString* outputFileName);
   
-  TList* GetHistList() const {return this->fHistList;}      //output histogram list
+  TList* GetHistList() const {return this->fHistList;} //output histogram list
  
  private:
   AliFlowAnalysisWithQCumulants(const AliFlowAnalysisWithQCumulants& afawQc);
   AliFlowAnalysisWithQCumulants& operator=(const AliFlowAnalysisWithQCumulants& afawQc);
   AliFlowTrackSimple* fTrack;             //track
   TList*              fHistList;          //list to hold all output histograms
-  TProfile*           fAvMultIntFlow;     //avarage selected multiplicity
+  TProfile*           fAvMultIntFlowQC;   //avarage selected multiplicity
  
   TProfile*           fQvectorComponents; //avarages of Q-vector components (1st bin: <Q_x>, 2nd bin: <Q_y>, 3rd bin: <(Q_x)^2>, 4th bin: <(Q_y)^2>, 5th bin: <|Q|^2>)
             
-  TH1D*               fIntFlowResults;                 //integrated flow results from Q-cumulants
-  TH1D*               fDiffFlowResults2ndOrder;        //differential flow results from 2nd order Q-cumulant
-  TH1D*               fDiffFlowResults4thOrder;        //differential flow results from 4th order Q-cumulant
+  TH1D*               fIntFlowResultsQC;               //integrated flow results from Q-cumulants
+  TH1D*               fDiffFlowResults2ndOrderQC;      //differential flow results from 2nd order Q-cumulant
+  TH1D*               fDiffFlowResults4thOrderQC;      //differential flow results from 4th order Q-cumulant
+  TH1D*               fCovariances;                    //final results for covariances: 1st bin: <2*4>-<2>*<4>, 2nd bin: <2*6>-<2>*<6>, ...
   
   TProfile*           fQCorrelations;                  //multi-particle correlations calculated from Q-vectors 
   TProfile*           fQCovariance;                    //covariance of multi-particle correlations 
-  TProfile*           fDirectCorrelations;             //multi-particle correlations calculated with nested loops
-   
+  TProfile*           fDirectCorrelations;             //multi-particle correlations calculated with nested loop  
   
   TProfile*           fReD;
   TProfile*           fImD;
@@ -70,20 +71,27 @@ class AliFlowAnalysisWithQCumulants{
   TProfile*           fReq2n;                           //real part of q-vector evaluated in harmonic 2n for each pt-bin
   TProfile*           fImq2n;                           //imaginary part of q-vector evaluated in harmonic 2n for each pt-bin
 
-  TProfile*           f2_1n1n;                          //<2'>_{n|n} per pt-bin
-  TProfile*           f2_2n2n;                          //<2'>_{2n|2n} per pt-bin
-  TProfile*           f3_2n1n1n;                        //<3'>_{2n|n,n} per pt-bin
-  TProfile*           f3_1n1n2n;                        //<3'>_{n,n|2n} per pt-bin
-  TProfile*           f4_1n1n1n1n;                      //<4'>_{n,n|n,n} per pt-bin
+  TProfile*           f2_1n1n;                          //<<2'>>_{n|n} per pt-bin
+  TProfile*           f2_2n2n;                          //<<2'>>_{2n|2n} per pt-bin
+  TProfile*           f3_2n1n1n;                        //<<3'>>_{2n|n,n} per pt-bin
+  TProfile*           f3_1n1n2n;                        //<<3'>>_{n,n|2n} per pt-bin
+  TProfile*           f4_1n1n1n1n;                      //<<4'>>_{n,n|n,n} per pt-bin
   
   TProfile*           fQCorrelationsPerBin;
  
-  AliFlowCommonHist*  fCommonHists;                    //common control histograms
+  AliFlowCommonHist*         fCommonHists;              //common control histograms
   
-  
-  Int_t abTempDeleteMe; 
-  
-        
+  /*
+  AliFlowCommonHistResults*  fCommonHistsResults2nd;    //final results for 2nd order int. and diff. flow stored in the common histograms 
+  AliFlowCommonHistResults*  fCommonHistsResults4th;    //final results for 4th order int. and diff. flow stored in the common histograms 
+  AliFlowCommonHistResults*  fCommonHistsResults6th;    //final results for 6th order int. and diff. flow stored in the common histograms
+  AliFlowCommonHistResults*  fCommonHistsResults8th;    //final results for 8th order int. and diff. flow stored in the common histograms
+  */
+      
+  TH1D*               f2Distribution;                   //distribution of <2>_{n|n}
+  TH1D*               f4Distribution;                   //distribution of <4>_{n,n|n,n}
+  TH1D*               f6Distribution;                   //distribution of <6>_{n,n,n|n,n,n}        
+                        
   ClassDef(AliFlowAnalysisWithQCumulants, 0);
 };
 
index fbfbbbf0a3f21aee43527528d8c579788d4dd72d..4916863844a60e78abb3af4176540164feddd587 100644 (file)
@@ -25,7 +25,6 @@
 #define AliQCumulantsFunctions_cxx
 
 #include "Riostream.h"
-#include "AliFlowCommonConstants.h"
 #include "TChain.h"
 #include "TFile.h"
 #include "TList.h"
@@ -44,6 +43,7 @@
 #include "AliFlowTrackSimple.h"
 #include "AliFlowAnalysisWithCumulants.h"
 #include "AliFlowCommonConstants.h"
+#include "AliFlowCommonHistResults.h"
 #include "AliQCumulantsFunctions.h"
 
 ClassImp(AliQCumulantsFunctions)
@@ -54,6 +54,7 @@ AliQCumulantsFunctions::AliQCumulantsFunctions():
  fIntRes(NULL),
  fDiffRes2nd(NULL),
  fDiffRes4th(NULL),
+ fCovar(NULL),
  fAvMult(NULL),
  fQVector(NULL),
  fQCorr(NULL),
@@ -64,7 +65,11 @@ AliQCumulantsFunctions::AliQCumulantsFunctions():
  fbin2_2n2n(NULL),
  fbin3_2n1n1n(NULL),
  fbin3_1n1n2n(NULL),
- fbin4_1n1n1n1n(NULL) 
+ fbin4_1n1n1n1n(NULL)
+ //fchr2nd(NULL),
+ //fchr4th(NULL),
+ //fchr6th(NULL),
+ //fchr8th(NULL) 
 {
  //default constructor 
 }
@@ -74,10 +79,12 @@ AliQCumulantsFunctions::~AliQCumulantsFunctions()
  //destructor
 }
 
-AliQCumulantsFunctions::AliQCumulantsFunctions(TH1D *intRes, TH1D *diffRes2nd, TH1D *diffRes4th, TProfile *AvMult, TProfile *QVector, TProfile *QCorr, TProfile *QCovar, TProfile *QCorrPerBin, TProfile *Direct, TProfile *bin2_1n1n, TProfile *bin2_2n2n, TProfile *bin3_2n1n1n, TProfile *bin3_1n1n2n, TProfile *bin4_1n1n1n1n):
+/*
+AliQCumulantsFunctions::AliQCumulantsFunctions(TH1D *intRes, TH1D *diffRes2nd, TH1D *diffRes4th, TH1D *covar, TProfile *AvMult, TProfile *QVector, TProfile *QCorr, TProfile *QCovar, TProfile *QCorrPerBin, TProfile *Direct, TProfile *bin2_1n1n, TProfile *bin2_2n2n, TProfile *bin3_2n1n1n, TProfile *bin3_1n1n2n, TProfile *bin4_1n1n1n1n, AliFlowCommonHistResults *chr2nd, AliFlowCommonHistResults *chr4th, AliFlowCommonHistResults *chr6th, AliFlowCommonHistResults *chr8th):
  fIntRes(intRes),
  fDiffRes2nd(diffRes2nd),
  fDiffRes4th(diffRes4th),
+ fCovar(covar),
  fAvMult(AvMult),
  fQVector(QVector),
  fQCorr(QCorr),
@@ -88,11 +95,42 @@ AliQCumulantsFunctions::AliQCumulantsFunctions(TH1D *intRes, TH1D *diffRes2nd, T
  fbin2_2n2n(bin2_2n2n),
  fbin3_2n1n1n(bin3_2n1n1n),
  fbin3_1n1n2n(bin3_1n1n2n),
- fbin4_1n1n1n1n(bin4_1n1n1n1n) 
+ fbin4_1n1n1n1n(bin4_1n1n1n1n), 
+ fchr2nd(chr2nd),
+ fchr4th(chr4th),
+ fchr6th(chr6th),
+ fchr8th(chr8th) 
 {
  //custom constructor 
 }
+*/
+
+AliQCumulantsFunctions::AliQCumulantsFunctions(TH1D *intRes, TH1D *diffRes2nd, TH1D *diffRes4th, TH1D *covar, TProfile *AvMult, TProfile *QVector, TProfile *QCorr, TProfile *QCovar, TProfile *QCorrPerBin, TProfile *Direct, TProfile *bin2_1n1n, TProfile *bin2_2n2n, TProfile *bin3_2n1n1n, TProfile *bin3_1n1n2n, TProfile *bin4_1n1n1n1n):
+ fIntRes(intRes),
+ fDiffRes2nd(diffRes2nd),
+ fDiffRes4th(diffRes4th),
+ fCovar(covar),
+ fAvMult(AvMult),
+ fQVector(QVector),
+ fQCorr(QCorr),
+ fQCovar(QCovar),
+ fQCorrPerBin(QCorrPerBin),
+ fDirect(Direct),
+ fbin2_1n1n(bin2_1n1n),
+ fbin2_2n2n(bin2_2n2n),
+ fbin3_2n1n1n(bin3_2n1n1n),
+ fbin3_1n1n2n(bin3_1n1n2n),
+ fbin4_1n1n1n1n(bin4_1n1n1n1n)
+ //fchr2nd(chr2nd),
+ //fchr4th(chr4th),
+ //fchr6th(chr6th),
+ //fchr8th(chr8th) 
+{
+ //custom constructor 
+}
+  
   
+      
 //================================================================================================================
 
 void AliQCumulantsFunctions::Calculate()
@@ -123,6 +161,9 @@ void AliQCumulantsFunctions::Calculate()
  Double_t cov24=fQCovar->GetBinContent(1)-two*four;//cov24=<<2>*<4>>-<<2>>*<<4>>
  Double_t cov26=fQCovar->GetBinContent(2)-two*six; //cov26=<<2>*<6>>-<<2>>*<<6>>
  Double_t cov46=fQCovar->GetBinContent(3)-four*six;//cov46=<<4>*<6>>-<<4>>*<<6>>
+ fCovar->SetBinContent(1,cov24);
+ fCovar->SetBinContent(2,cov26); 
+ fCovar->SetBinContent(4,cov46);
  
  //2nd, 4th and 6th order Q-cumulant and theirs errors:
  Double_t secondOrderQCumulant = two;                //c_n{2} 
@@ -136,7 +177,7 @@ void AliQCumulantsFunctions::Calculate()
   fourthOrderQCumulantError = pow(16.*pow(two,2.)*pow(twoErr,2.)+pow(fourErr,2.)-8.*two*cov24,0.5);//sigma_{c_n{4}}
  }
  
- Double_t sixthOrderQCumulant  = six-9.*two*four+12.*pow(two,3.); //c_n{6}
+ Double_t sixthOrderQCumulant = six-9.*two*four+12.*pow(two,3.); //c_n{6}
  Double_t sixthOrderQCumulantError = 0.;  //sigma_{c_n{6}}
 
  if(81.*pow(4.*two*two-four,2.)*pow(twoErr,2.)+81.*pow(two,2.)*pow(fourErr,2.)+pow(sixErr,2.)-162.*(4.*two*two-four)*two*cov24+18.*(4.*two*two-four)*cov26-18.*two*cov46>0.)
@@ -159,6 +200,7 @@ void AliQCumulantsFunctions::Calculate()
   cout<<" v_"<<n<<"{2} = "<<vn2<<" +/- "<<sd2<<endl;
   fIntRes->SetBinContent(1,vn2);
   fIntRes->SetBinError(1,sd2);
+  //fchr2nd->FillIntegratedFlow(vn2,sd2);//common histogram
  }else{
   cout<<" v_"<<n<<"{2} = Im"<<endl;
  }
@@ -168,6 +210,7 @@ void AliQCumulantsFunctions::Calculate()
   cout<<" v_"<<n<<"{4} = "<<vn4<<" +/- "<<sd4<<endl;
   fIntRes->SetBinContent(2,vn4);
   fIntRes->SetBinError(2,sd4);
+  //fchr4th->FillIntegratedFlow(vn4,sd4);//common histogram
  }else{
   cout<<" v_"<<n<<"{4} = Im"<<endl;
  }
@@ -177,6 +220,7 @@ void AliQCumulantsFunctions::Calculate()
   cout<<" v_"<<n<<"{6} = "<<vn6<<" +/- "<<sd6<<endl;
   fIntRes->SetBinContent(3,vn6);
   fIntRes->SetBinError(3,sd6);
+  //fchr6th->FillIntegratedFlow(vn6,sd6);//common histogram
   //fIntRes->Draw("E1P0");
  }else{
   cout<<" v_"<<n<<"{6} = Im"<<endl;
@@ -187,8 +231,7 @@ void AliQCumulantsFunctions::Calculate()
  cout<<"*********************************"<<endl;
  cout<<" "<<endl; 
 //--------------------------------------------------------------------------------------------------------- 
-
-   
 //---------------------------------------------------------------------------------------------------------    
 //differential flow
 Double_t secondOrderQCumulantDiffFlow = 0.;
@@ -211,47 +254,42 @@ for(Int_t bb=1;bb<10001;bb++) //to be improved (upper bound)
         
          
                                                                                     
-                                                                                
-                                                                                    
-                                                                                        
-         
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
-                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
-                                                                                                                                                    
-                                                                                                                                                        
-                                                                                                                                                            
-                                                                                                                                                                
-                                                                                                                                                                        
+ /*
+ Double_t first=16.*pow(two*twoErr,2.);
+ Double_t second=pow(fourErr,2.);
+ Double_t third=-8.*two*cov24;
+ cout<<" "<<endl;
+ cout<<" "<<endl;
+ cout<<" "<<endl;
+ cout<<"       1st = "<<(1./16.)*first/(pow(-fourthOrderQCumulant,1.5))<<endl;
+ cout<<"       2nd = "<<(1./16.)*second/(pow(-fourthOrderQCumulant,1.5))<<endl;
+ cout<<"       3rd = "<<(1./16.)*third/(pow(-fourthOrderQCumulant,1.5))<<endl;
+ cout<<" "<<endl;
+ cout<<"   nEvts = "<<nEvts<<", AvM = "<<AvM<<endl;
+ cout<<" "<<endl;
+ cout<<" "<<endl;
+ cout<<"c-c = "<<pow((1./16.)*((first+second+third)/(pow(-fourthOrderQCumulant,1.5))),0.5)<<endl; 
+ */
  
            
              
@@ -675,12 +713,11 @@ Double_t sixthOrderQCumulant = (AvQ6+9.*HereQ2nQnQ2nstarQnstar-6.*HereQ2nQnQnsta
 
 
 
+/*
 
 
 
 
-
-/*
 
 
 //needed for direct correlations
@@ -694,49 +731,67 @@ Double_t sixthOrderQCumulant = (AvQ6+9.*HereQ2nQnQ2nstarQnstar-6.*HereQ2nQnQnsta
  cout<<" "<<endl;
  cout<<"   nEvts = "<<nEvts<<", AvM = "<<AvM<<endl;
  cout<<" "<<endl;
- cout<<"<2>_{n|n} from Q-vectors            = "<<fQCorr->GetBinContent(1)<<endl;
- //cout<<"<2>_{n|n} from Q-vectors            = "<<fQCorr->GetBinContent(1)<<" +/- "<<pow(-1.*fQCorrErr->GetBinContent(1),0.5)<<endl;// to be improved (deleteMe) 
- cout<<"<2>_{n|n} from nested loops         = "<<fDirect->GetBinContent(1)<<endl;
+ cout<<"<2>_{n|n} from Q-vectors              = "<<fQCorr->GetBinContent(1)<<endl;
+ cout<<"<2>_{n|n} from nested loops           = "<<fDirect->GetBinContent(1)<<endl;
  cout<<" "<<endl;
- cout<<"<2>_{2n|2n} from Q-vectors          = "<<fQCorr->GetBinContent(2)<<endl;
- cout<<"<2>_{2n|2n} from nested loops       = "<<fDirect->GetBinContent(2)<<endl;
+ cout<<"<2>_{2n|2n} from Q-vectors            = "<<fQCorr->GetBinContent(2)<<endl;
+ cout<<"<2>_{2n|2n} from nested loops         = "<<fDirect->GetBinContent(2)<<endl;
  cout<<" "<<endl;
- cout<<"<2>_{3n|3n} from Q-vectors          = "<<fQCorr->GetBinContent(3)<<endl;
- cout<<"<2>_{3n|3n} from nested loops       = "<<fDirect->GetBinContent(3)<<endl;
+ cout<<"<2>_{3n|3n} from Q-vectors            = "<<fQCorr->GetBinContent(3)<<endl;
+ cout<<"<2>_{3n|3n} from nested loops         = "<<fDirect->GetBinContent(3)<<endl;
  cout<<" "<<endl;
- cout<<"<2>_{4n|4n} from Q-vectors          = "<<fQCorr->GetBinContent(4)<<endl;
- cout<<"<2>_{4n|4n} from nested loops       = "<<fDirect->GetBinContent(4)<<endl;
+ cout<<"<2>_{4n|4n} from Q-vectors            = "<<fQCorr->GetBinContent(4)<<endl;
+ cout<<"<2>_{4n|4n} from nested loops         = "<<fDirect->GetBinContent(4)<<endl;
  cout<<" "<<endl;
- cout<<"<3>_{2n,n,n} from Q-vectors         = "<<fQCorr->GetBinContent(6)<<endl;
- cout<<"<3>_{2n,n,n} from nested loops      = "<<fDirect->GetBinContent(6)<<endl;
+ cout<<"<3>_{2n,n,n} from Q-vectors           = "<<fQCorr->GetBinContent(6)<<endl;
+ cout<<"<3>_{2n,n,n} from nested loops        = "<<fDirect->GetBinContent(6)<<endl;
  cout<<" "<<endl;
- cout<<"<3>_{3n,2n,n} from Q-vectors        = "<<fQCorr->GetBinContent(7)<<endl;
- cout<<"<3>_{3n,2n,n} from nested loops     = "<<fDirect->GetBinContent(7)<<endl;
+ cout<<"<3>_{3n,2n,n} from Q-vectors          = "<<fQCorr->GetBinContent(7)<<endl;
+ cout<<"<3>_{3n,2n,n} from nested loops       = "<<fDirect->GetBinContent(7)<<endl;
  cout<<" "<<endl; 
- cout<<"<3>_{4n,2n,2n} from Q-vectors       = "<<fQCorr->GetBinContent(8)<<endl;
- cout<<"<3>_{4n,2n,2n} from nested loops    = "<<fDirect->GetBinContent(8)<<endl;
+ cout<<"<3>_{4n,2n,2n} from Q-vectors         = "<<fQCorr->GetBinContent(8)<<endl;
+ cout<<"<3>_{4n,2n,2n} from nested loops      = "<<fDirect->GetBinContent(8)<<endl;
  cout<<" "<<endl;
- cout<<"<3>_{4n,3n,n} from Q-vectors        = "<<fQCorr->GetBinContent(9)<<endl;
- cout<<"<3>_{4n,3n,n} from nested loops     = "<<fDirect->GetBinContent(9)<<endl;
+ cout<<"<3>_{4n,3n,n} from Q-vectors          = "<<fQCorr->GetBinContent(9)<<endl;
+ cout<<"<3>_{4n,3n,n} from nested loops       = "<<fDirect->GetBinContent(9)<<endl;
  cout<<" "<<endl;
- cout<<"<4>_{n,n|n,n} from Q-vectors        = "<<fQCorr->GetBinContent(11)<<endl;
- cout<<"<4>_{n,n|n,n} from nested loops     = "<<fDirect->GetBinContent(11)<<endl;
+ cout<<"<4>_{n,n|n,n} from Q-vectors          = "<<fQCorr->GetBinContent(11)<<endl;
+ cout<<"<4>_{n,n|n,n} from nested loops       = "<<fDirect->GetBinContent(11)<<endl;
  cout<<" "<<endl;
- cout<<"<4>_{2n,n|2n,n} from Q-vectors      = "<<fQCorr->GetBinContent(12)<<endl;
- cout<<"<4>_{2n,n|2n,n} from nested loops   = "<<fDirect->GetBinContent(12)<<endl;
+ cout<<"<4>_{2n,2n|2n,2n} from Q-vectors      = "<<fQCorr->GetBinContent(31)<<endl;//to be improved
+ cout<<"<4>_{2n,2n|2n,2n} from nested loops   = "<<fDirect->GetBinContent(31)<<endl;//to be improved 
  cout<<" "<<endl;
- cout<<"<4>_{3n|n,n,n} from Q-vectors       = "<<fQCorr->GetBinContent(13)<<endl;
- cout<<"<4>_{3n|n,n,n} from nested loops    = "<<fDirect->GetBinContent(13)<<endl;
+ cout<<"<4>_{3n,n|3n,n} from Q-vectors        = "<<fQCorr->GetBinContent(32)<<endl;//to be improved
+ cout<<"<4>_{3n,n|3n,n} from nested loops     = "<<fDirect->GetBinContent(32)<<endl;//to be improved 
  cout<<" "<<endl;
- cout<<"<4>_{4n|2n,n,n} from Q-vectors      = "<<fQCorr->GetBinContent(14)<<endl;
- cout<<"<4>_{4n|2n,n,n} from nested loops   = "<<fDirect->GetBinContent(14)<<endl;
+ cout<<"<4>_{2n,n|2n,n} from Q-vectors        = "<<fQCorr->GetBinContent(12)<<endl;
+ cout<<"<4>_{2n,n|2n,n} from nested loops     = "<<fDirect->GetBinContent(12)<<endl;
+ cout<<" "<<endl;
+ cout<<"<4>_{3n|n,n,n} from Q-vectors         = "<<fQCorr->GetBinContent(13)<<endl;
+ cout<<"<4>_{3n|n,n,n} from nested loops      = "<<fDirect->GetBinContent(13)<<endl;
+ cout<<" "<<endl;
+ cout<<"<4>_{4n|2n,n,n} from Q-vectors        = "<<fQCorr->GetBinContent(14)<<endl;
+ cout<<"<4>_{4n|2n,n,n} from nested loops     = "<<fDirect->GetBinContent(14)<<endl;
+ cout<<" "<<endl;
+ cout<<"<4>_{3n,n|2n,2n} from Q-vectors       = "<<fQCorr->GetBinContent(15)<<endl;
+ cout<<"<4>_{3n,n|2n,2n} from nested loops    = "<<fDirect->GetBinContent(15)<<endl;
+ cout<<" "<<endl;
+ cout<<"<5>_{2n,n|n,n,n} from Q-vectors       = "<<fQCorr->GetBinContent(16)<<endl;
+ cout<<"<5>_{2n,n|n,n,n} from nested loops    = "<<fDirect->GetBinContent(16)<<endl;
+ cout<<" "<<endl;
+ cout<<"<5>_{2n,2n|2n,n,n} from Q-vectors     = "<<fQCorr->GetBinContent(17)<<endl;
+ cout<<"<5>_{2n,2n|2n,n,n} from nested loops  = "<<fDirect->GetBinContent(17)<<endl;
+ cout<<" "<<endl;
+ cout<<"<5>_{3n,n|2n,n,n} from Q-vectors      = "<<fQCorr->GetBinContent(18)<<endl;
+ cout<<"<5>_{3n,n|2n,n,n} from nested loops   = "<<fDirect->GetBinContent(18)<<endl;
+ cout<<" "<<endl;
+ cout<<"<5>_{4n|n,n,n,n} from Q-vectors       = "<<fQCorr->GetBinContent(19)<<endl;
+ cout<<"<5>_{4n|n,n,n,n} from nested loops    = "<<fDirect->GetBinContent(19)<<endl;
  cout<<" "<<endl;
  */
+
  /*
- cout<<"<5>_{2n,n|n,n,n} from Q-vectors     = "<<fQCorr->GetBinContent(16)<<endl;
- cout<<"<5>_{2n,n|n,n,n} from nested loops  = "<<fDirect->GetBinContent(16)<<endl;
- cout<<" "<<endl;
  cout<<"<6>_{n,n,n|n,n,n} from Q-vectors    = "<<fQCorr->GetBinContent(21)<<endl;
  cout<<"<6>_{n,n,n|n,n,n} from nested loops = "<<fDirect->GetBinContent(21)<<endl;
  cout<<" "<<endl; 
@@ -786,10 +841,21 @@ Double_t sixthOrderQCumulant = (AvQ6+9.*HereQ2nQnQ2nstarQnstar-6.*HereQ2nQnQnsta
  */     
            
         
-                          
-                               
-                                    
+ /*
+                     
+                                                             
+cout<<" "<<endl;      
+cout<<" "<<endl;
+cout<<"   nEvts = "<<nEvts<<", AvM = "<<AvM<<endl;
+cout<<" "<<endl;                         
+cout<<"sigma_2 = "<<twoErr<<endl;             
+cout<<"sigma_4 = "<<fourErr<<endl;
+cout<<"sigma_6 = "<<sixErr<<endl;
+
+
+*/
                                               
+                                                
 
 }
 
index 6e020c7a6abb913f42e898950d57055e13bd68c1..15674734e2f5f07c40c445034c1c3aa436c1fb3c 100644 (file)
@@ -27,13 +27,16 @@ class TObjArray;
 class TList;
 class TFile;
 
+class AliFlowCommonHistResults;
+
 //================================================================================================================
 
 class AliQCumulantsFunctions{
  public:
   AliQCumulantsFunctions();
   virtual ~AliQCumulantsFunctions();
-  AliQCumulantsFunctions(TH1D *intRes, TH1D *diffRes2nd, TH1D *diffRes4th, TProfile *AvMult, TProfile *QVector, TProfile *QCorr, TProfile *QCovar, TProfile *QCorrPerBin, TProfile *Direct, TProfile *bin2_1n1n, TProfile *bin2_2n2n, TProfile *bin3_2n1n1n, TProfile *bin3_1n1n2n, TProfile *bin4_1n1n1n1n);
+  //AliQCumulantsFunctions(TH1D *intRes, TH1D *diffRes2nd, TH1D *diffRes4th, TH1D *covar, TProfile *AvMult, TProfile *QVector, TProfile *QCorr, TProfile *QCovar, TProfile *QCorrPerBin, TProfile *Direct, TProfile *bin2_1n1n, TProfile *bin2_2n2n, TProfile *bin3_2n1n1n, TProfile *bin3_1n1n2n, TProfile *bin4_1n1n1n1n, AliFlowCommonHistResults *chr2nd, AliFlowCommonHistResults *chr4th, AliFlowCommonHistResults *chr6th, AliFlowCommonHistResults *chr8th);
+  AliQCumulantsFunctions(TH1D *intRes, TH1D *diffRes2nd, TH1D *diffRes4th, TH1D *covar, TProfile *AvMult, TProfile *QVector, TProfile *QCorr, TProfile *QCovar, TProfile *QCorrPerBin, TProfile *Direct, TProfile *bin2_1n1n, TProfile *bin2_2n2n, TProfile *bin3_2n1n1n, TProfile *bin3_1n1n2n, TProfile *bin4_1n1n1n1n);
  
   void Calculate();
 
@@ -44,6 +47,7 @@ class AliQCumulantsFunctions{
   TH1D     *fIntRes;         //results for integrated flow
   TH1D     *fDiffRes2nd;     //results for differential flow (2nd order)
   TH1D     *fDiffRes4th;     //results for differential flow (4th order)
+  TH1D     *fCovar;          //results for covariances (1st bin: <2*4>-<2>*<4>, 2nd bin: <2*6>-<2>*<6>, ...)  
           
   TProfile *fAvMult;         //avarage selected multiplicity for int. flow
   TProfile *fQVector;        //avarage values of Q-vector components
@@ -58,7 +62,14 @@ class AliQCumulantsFunctions{
   TProfile *fbin3_2n1n1n;
   TProfile *fbin3_1n1n2n;
   TProfile *fbin4_1n1n1n1n;
-        
+  
+  /*
+  AliFlowCommonHistResults *fchr2nd; //final results for 2nd order int. and diff. flow stored in the common histograms
+  AliFlowCommonHistResults *fchr4th; //final results for 4th order int. and diff. flow stored in the common histograms
+  AliFlowCommonHistResults *fchr6th; //final results for 6th order int. and diff. flow stored in the common histograms
+  AliFlowCommonHistResults *fchr8th; //final results for 8th order int. and diff. flow stored in the common histograms
+  */
+              
   ClassDef(AliQCumulantsFunctions, 0);
 };