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Completeness: 90%

Drell-Yan analysis Procedure

This twiki documents the most important steps of the Drell-Yan cross section measurement. It is intended to familiarize you with the technical aspects of the analysis procedure. At the end of each section there is a set of questions and exercises. Note, the software and samples evolve very frequently so some parts of the page will get obsolete soon!

Step 1: PAT/ntuples

  • Samples
  • MC samples change frequently (usually we have a new generation of MC samples every season). Even though GEN level stays the same reconstruction keeps getting improved from release to release, so it is recommnded to use the most up-to-date MC. Another things that constantly changes is the vertex information (tuned to data) and pile up.
  • MC: 311 Monte Carlo samples (this list shows all the signals and backgrounds we consider, but it is already superseded by Summer11 42X samples)
  • Drell-Yan:
    • /DYToMuMu_M-10To20_TuneZ2_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /DYToMuMu_M-20_CT10_TuneZ2_7TeV-powheg-pythia/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
  • QCD
    • /QCD_Pt-15to20_MuPt5Enriched_TuneZ2_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /QCD_Pt-20to30_MuPt5Enriched_TuneZ2_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /QCD_Pt-30to50_MuPt5Enriched_TuneZ2_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /QCD_Pt-50to80_MuPt5Enriched_TuneZ2_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /QCD_Pt-80to120_MuPt5Enriched_TuneZ2_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /QCD_Pt-120to150_MuPt5Enriched_TuneZ2_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /QCD_Pt-150_MuPt5Enriched_TuneZ2_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
  • DY tautau
    • /DYToTauTau_M-20_CT10_TuneZ2_7TeV-powheg-pythia-tauola/Spring11-PU_S1_START311_V1G1-v2/GEN-SIM-RECO
  • Dibosons
    • /WWtoAnything_TuneZ2_7TeV-pythia6-tauola/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /WZtoAnything_TuneZ2_7TeV-pythia6-tauola/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
    • /ZZtoAnything_TuneZ2_7TeV-pythia6-tauola/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO
  • Wmunu
    • /WtoMuNu_TuneD6T_7TeV-pythia6/Spring11-PU_S1_START311_V1G1-v1/GEN-SIM-RECO

Current latest MC generation is 42X Summer11

  • DATA:
  • We use SingleMu and DoubleMu Primary Datasets (PD), PromptReco (and ReReco when it becomes available)
  • JSONs are constantly updated in this directory as we certify more and more data:
    • "Golden" /afs/*Prompt/Cert_160404-161312_7TeV_PromptReco_Collisions11_JSON.txt
    • Calo-free /afs/
  • Use DBS tool to retrieve info about the most up-to-date MC and DATA samples
  • Relevant software: CMSSW_4_1_3: see the twiki page to get the information about CMSSW releases used for data taking as they evolve
    • Global tag
      • Data: GR_R_311_V2 for reprocessing and GR_P_V14 for prompt reco
      • MC: MC_311_V2, START311_v2
    • ElectroWeakAnalysis/Skimming, ElectroWeakAnalysis/DYskimming, UserCode
  • how to run:  PATtuple production: see the corresponding twiki, note, a lot of code in CVS is outdated (we keep updating it)
cmsrel CMSSW_4_1_3
cd CMSSW_4_1_3/src
addpkg ElectroWeakAnalysis/Skimming
cvs co -d ElectroWeakAnalysis/DYskimming -r V00-00-05 UserCode/Purdue/DYAnalysis/Skimming
scram b
cmsRun ElectroWeakAnalysis/DYskimming/PATTuple/

Exercise 1:

Q1: Do you think the list of signal and background samples mentioned above is complete for the Drell-Yan cross section measurement in the region 15-600 GeV invariant mass? (You need to think not only about physics processes but also about kinematic region of the sample generated)

Q2: Using the DBS tool mentioned above or a command line equivalent find all the MC samples relevant for the Drell-Yan cross-section measurement for Summer11 production, example:

find file where file.tier=GEN-SIM-RECO and and dataset like=*DYToMuMu*Summer11*

Q3. (might be advanced, if you fails ask me) Port the above skimming code to 42X: you need this, because 41X and 42X releases are incompatible

Q4: Produce a PAT-tuple

More PAT-tuples can be found here: /store/user/asvyatko/DYstudy/dataAnalysis11//PATtuple/ (you can use signal and Data only for now)

Step 2: Ntuples

Since the event size even for PAT is quite big, we usually perform one more skimming step and store our data in form of ntuples. The input for ntuple-maker is PAT tuple (however, with some gymnastics you can run on GEN-SIM-RECO or AODSIM)

cvs co -d Phys/DiMuonAnalyzer UserCode/Purdue/DYAnalysis/NtupleMaker
scram b
cd Phys/DimuonAnalyzer
cmsRun test/

For mass ntuples submission you need to use batch farms. Use scripts provided in the /ntuple directory to do that:


Note: before submitting you need to change the input/output directory parameters and the global tag in the script:

 # configure here
$isMC = 1; # 0 = MC, 1 = data
$trig = "HLT_Mu11/Data";
$ntpdir =  "/user/h/hdyoo/DYstudy/dataAnalysis10_39x/PATtuple/";
$outdir =  "/user/h/hdyoo/DYstudy/dataAnalysis10_39x/Ntuple/";
$workdir = "/afs/";
$gtag = "GR_R_39X_V6"; # data
#$gtag = "START39_V9"; # mc

to your desired directories and the latest global tag.

Exercise 2:

Q1: Try to produce ntuple

Hint: spot all the errors, they might be related to global tag, REDIGI version (for MC)

Q2: Find the invariant mass branch and inspect it

Step 3: Event Selection

Once the ntuples are ready, one can proceed to the actual physics analysis. The first step of every analysis is the event selection. Currently, we use the so-called cut-based approach to discriminate between signal and background. For more on event selection please read chapter 3 in the analysis note CMS-AN-11-013. Before starting to run a macro, set up the working area. Find all the necessary scripts in:


and precisely follow the recipe below preserving folder structure recommended in the recipe:

1. copy the Ntuples in rootfiles directory, splitting by trigger path used at the level of skimming (as we might use a combination!): e.g. rootfiles/HLT_Mu15/

2. modify the file

cd rootfiles

change this to the full path to your rootfiles directory:
$dir = "/work/asvyatko/Work/DYanalysis/dataAnalysis10/analysis/rootfiles";
choose the trigger scenario you wish to use:
$trig = "HLT_Mu15"; // trigger name (directory name)

Run the shell script:

then all chain_* files will be created in the roorfiles directory.
  • After you are done with creating chains (I assume you are in ./rootfiles directory) do:
cd ..
cvs co -d ControlPlots UserCode/Purdue/DYAnalysis/AnalysisMacros/ControlPlots
cd ControlPlots
#note: for the sake of convenience add the alias for this directory in your ~/.profile, like:

Before running the macros, we need to fix few things which are changing frequently for our analysis:

  • Mass range and binning:
    • for the early stage of 2011 analysis we keep the 2010 binning [15,20,30,40,50,60,76,86,96,106,120,150,200,600]

  • Trigger selection:
    • See the presentation on event selection for 2011
    • Thus, for 2011 we consider a combination of Double muon trigger and a combination of single isolated muon triggers can be used as a cross-check. Use three following combinations:
      • HLT_Mu15, HLT_Mu24, HLT_Mu30
      • HLT_IsoMu15, HLT_IsoMu17, HLT_IsoMu24
      • DoubleMu6, DoubleMu7, Mu13_Mu8
  • Offline selection: Baseline event selection has not changed compared to 2010 analysis, see
    • we will consider moving to PF muons and PF isolation: this study is in progress right now

To produce the invariant mass plot do:

root -l InvMass.C++

Important note: InvMass.C is a very useful macro, it can be used to produce not only the invariant mass distribution but also the:

1. Ratio of invariant mass distributions

2. Statistical uncertainty as a function of invariant mass

To produce dimuon kinematic distributions run

root -l TransMomentum.C++
root -l Rapidity.C++

To produce other control plot (for all the event selection variables used in the analysis, as documented in the note), use:

 root -l ControlPlots.C++

There are few macros that help us to optimize the cuts. These macros calculate the statistical significance and the uncertainty on the cross-section. Statistical significance is defined as :

S = N_sig/sqrt(N_sig+N_bkg) and normally determined from MC. As you can infer, it scales with luminosity as ~sqrt(Lumi). There are other definitions of significance used in the analyses sometimes (see for instance CMS-TDR). To run, check out just two additional macros (I assume you didn't leave ./ControlPlots directory)

cvs co UserCode/Purdue/DYAnalysis/NtupleMacro/AsymmetricCutStudy/OfflineSelection.C
cvs co UserCode/Purdue/DYAnalysis/NtupleMacro/AsymmetricCutStudy/graphStats.C
root -l OfflineSelection.C++
root -l graphStats.C++

The first macro will create a txt file with an per mass bin values of signal and background. The second macro will histogram the output. These macros are adjusted to optimize the acceptance cuts, but with minimal changes it can optimize any other cut we use, and it is possible to change style to conform with the rest of plots in the note.

Note: root doesn not create output directories by itself so you should create a corresponding directory for output txt files like:

 mkdir my_output_dir_for_macro1

Q1: Check data/MC agreement for each plot, look for discrepancies.

Checkpoint1 With the macros described above you should be able to *reproduce* following plots from the CMS-AN-11-013: 1,3-14, 17-29,51.

Note: for the 23,25-29 macros have different style and were produce with PU sample.

Note: plots 20-22 are reproducible by optimization macros but have different style.

Step 4: Acceptance

Another constituent of the cross-section measurement is the acceptance.

  • Acceptance is determined using GEN level information, so that the generation of MC is not crucial
  • Use the acceptance numbers documented in the note to save time: CMS-AN-11-013

Below are some additional details on the acceptance calculation which might be necessary if the procedure will change.

We use POWHEG NLO acceptance, see all the relevant formulas in this talk (the updated version), see slide18 for acceptance definitions and refer to earlier talks. Di\ue to the intrinsic discrepancies in the modeling between the POWHEG and FEWZ we correct the Z kinematics. For that, we extract the weight maps from POWHEG at NLO and from FEWZ at NNLO (to be more specific it is at NNLO below 40 GeV and NLO otherwise, as the effect of higher order corrections is negligible at the higher masses). The weight map is essentially the ratio of double inclusive cross-sections extracted from POWHEG and FEWZ per PT-Y bin (PT, Y refer to Z kinematics, which is identical here to dimuon kinematics, our final aim). Details on the re-weighting technique are also in the linked presentation.

How to run:

To setup area do:

cvs co -r V00-09-11 SUSYBSMAnalysis/Zprime2muAnalysis (38x analysis)
# for 41x or higher, use V00-10-09
SUSYBSMAnalysis/Zprime2muAnalysis/setup.csh # This last command checks
                                            # out other packages and
                                            # executes scramv1 b to
                                            # compile everything.
cvs co UserCode/ASvyatkovskiy/AcceptanceAdam
#rearrange stuff a little bit
cp UserCode/ASvyatkovskiy/AcceptanceAdam/* .

One needs to configure pT and eta cuts for each muon in  the script. This is done very easily in two places:

if input_is_MC:
    from UserCode.Examples.inclusiveMuonPlotsGENSIM_cfi import makeInclusiveMuonPlots;
    commonInputs = cms.PSet(
        muons     = cms.InputTag('cleanPatMuonsTriggerMatch'),
        particleSrc = cms.InputTag('prunedGenSimLeptons'), #genParticles
        dilepton_src = cms.InputTag('dimuons'), #('dimuons'), #('dyz'),
        primaryVertices = cms.InputTag("offlinePrimaryVertices"),
        weight = cms.untracked.double(1.0),
        eta_acc1 = cms.untracked.double(2.4),
        eta_acc2 = cms.untracked.double(2.4),
        pt_acc1 = cms.untracked.double(15.0),
        pt_acc2 = cms.untracked.double(10.0),
        mother = cms.untracked.int32(23),#Z: 23, ZPrime: 32
        daughter = cms.untracked.int32(13),
        daughterStatus = cms.untracked.int32(1),

And here:

loose_cut = 'isGlobalMuon && isTrackerMuon && ' \
            'pt > 10. && ' \
            'abs(eta) < 2.4 && ' \
            'abs(dB) < 0.2 && ' \
            '(isolationR03.sumPt + isolationR03.hadEt) / pt < 0.15 && ' \
            'globalTrack.hitPattern.numberOfValidTrackerHits > 10 && ' \
            'globalTrack.hitPattern.numberOfValidPixelHits > 0 && ' \
            'globalTrack.hitPattern.numberOfValidMuonHits > 0 && ' \
            'numberOfMatches > 1 && ' \
            'globalTrack.normalizedChi2 < 10 ' # + trigger_match

To configure the trigger path for trigger match:

trigger_match = ' && (' \
                '!triggerObjectMatchesByPath("HLT_Mu15_*").empty()' \

To calculate the acceptance as a function of invariant mass:


Next, produce histograms for invariant mass and Z/lepton kinematics you will use to calculate the acceptance:

 root -l macroAcceptance.C

To draw the plots execute:

root -l macroDrawHwidongAcc.C

Weight map producer uses the FEWZ acceptance as the input, find all the macros here: /UserCode/ASvyatkovskiy/FEWZ_scripts,

to work one needs to do:

cd $RCAC_SCRATCH/  #better to do it on scratch
cp -r /home/ba01/u115/asvyatko/TEST_FEWZ/FEWZ_2.0.1.a3/ YOUR_FEWZ_WORKING_DIR
cvs co -d TMP /UserCode/ASvyatkovskiy/FEWZ_scripts
cp TMP/* .
rm -r TMP

To produce the cross section in mass bins run


Note: before running you need to adjust the order of calculation and the input/output directories and also the PDF set you want to use, which is all done in the top of the script:

 #input: binning file, pdf sets, order, number of processors and path to working dir
mass_cuts = open('input_massesPlus.txt','r')
pdfsets = ['MSTW2008NLO'] #['CTEQ66','CTEQ10','NNPDF20','MSTW2008NLO']
order = 'NLO'
nprocs = 1
path_to_wd = '/scratch/scratch95/a/asvyatko/NU_FEWZ/WorkingDir_NLO_400Plus'

masses = mass_cuts.readlines()
pattern = r'(\d+\.\d*|\.\d+)(d0)'
pattern2 = r'(\'\s\d?)'
pdf_pattern = r'(CTEQ66|CTEQ10|NNPDF20|MSTW2008.*O)'

to get the output of the jobs use corresponding get-output scripts:


Which requires analogous adjustments before use:

#input: binning file, pdf sets, order, number of processors and path to working dir
mass_cuts = open('input_massesPlus.txt','r')
pdfsets = ['MSTW2008NLO'] #['CTEQ66','CTEQ10','NNPDF20','MSTW2008NLO']
order = 'NLO'
nprocs = 1
path_to_wd = '/scratch/scratch95/a/asvyatko/NU_FEWZ/WorkingDir_NLO_400Plus'
run = ''
acc = '' #acc21_, acc24_

After the maps are ready and saved in the root file, you can proceed with corrected acceptance calculation. Before that, review the maps to check if there is nothing strange:

root -l Map2D.C

Q: Analyze 2D histograms for maps

If you do not have time to produce the maps, you can use what we have, kindly read the description in the README file and use the root and txt files on the following webpage:

If everything looks reasonable (no very large weights, no pronounced asymmetries), continue with corrected acceptance (before doing that make sure to carefully review this talk by Adam):

python DYM1020_single_tuple.root DYM20_single_tuple.root #you can find test root files here
                                                                      #or use the PAT tuple produce on the step1
python powheg_xs_full.root fewz_xs_full.root
python --sg=DYM1020_single_tuple.root,DYM20_single_tuple.root -r fewz_powheg_weights.root

Each next step uses the output of the previous step. Firstly we calculate the PT-Y dimuon kinematics map, then we calculate weight for FEWZ-POWHEG reweighting and finally we calculate the corrected acceptance. Note: the k factors are equal to 1 by default but should be readjusted in case one uses NLO FEWZ maps (rather than NNLO)

Finally, there are various plots used to estimate the FEWZ-POWHEG discrepancy for various trigger scenarios as well as NNLO-NLO discrepancy for within a given generator and a given PDF set. These plots can be reproduced using the following macros:

cp /UserCode/Purdue/DYAnalysis/AnalysisMacros/ControlPlots/Acceptance.C $CONTROL_PLOTS_DIR  #Acceptance macro isn't in current dir :-/ , copy it
root -l Acceptance.C

inside this macro, you can uncomment what you need to plot and also adjust the input PDF sets as well as orders.

Checkpoint2 With the macros and scripts described in the step4 section you should be able to *reproduce* following macros from the CMS-AN-11-013: 2,30-38,61-63 and tables: 5-10, 21-24

Step 5: Efficiencies

The details on the factorization and the application of correction factors are documented here , and can be found in this talk. With the current factorization scheme we measure four following efficiencies:

  • Trigger, Reconstruction+ID, isoloation, tracking:
    • We use the officiela TagAndProbe package
  • How to run (on top of CMSSW 414):
    addpkg MuonAnalysis/MuonAssociators V01-14-00
    addpkg PhysicsTools/PatUtils
    addpkg PhysicsTools/TagAndProbe V04-00-06
    cvs co -A MuonAnalysis/TagAndProbe
    cvs co -d TagAndProbe UserCode/ASvyatkovskiy/TagAndProbe
  • The procedure goes in two steps: 
    • T&P tree production -> rerun seldom (ideally once), it depends only on the definitions of the tag and probe
cd TagAndProbe
  • If you haven't produce TP trees you can always use the ready ones located there:


  • fitting: separate job for trigger and all the muonID related efficiencies -> reran frequently and usually interactively (change binning, definitions)
  • All the latest macros/configs can be found here: UserCode/ASvyatkovskiy/TagAndProbe
  • Isolation: RandomCone - currently, code is private and not possible to use.

After familiarizing yourself with the TagAndProbe package, you need to produce the muon efficiencies as a function of pT and eta. You do not need this in the analysis, but rather to understand if everything you are doing is correct. After you are done with that, produce the 2D efficiency pT-eta map (it is alredy produced in one go when running To do that use the simple root macros (adjust i/o, not user friendly yet!):

root -l idDataMC_4xy.C
root -l triggerMuonDataMC_4xy.C

And to produce 2D efficiency maps and correction factors do:

 root -l perBinTable.C

The final step here is to produce the efficiency as function of invariant mass and the efficiency correction factor as a function of invariant mass.

cvs co UserCode/Purdue/DYAnalysis/AnalysisMacros/Correction
root -l effCorrProd.C++

Note: you need to produce all the correction 2D maps on 2 previous steps, if you haven't succeeded you can use what we used for publication, txt files are located here:


Checkpoint3 With the macros describe in the step5 section it is possible to reproduce the following plots from the CMS-AN-11-013 note: 15-16, 39-42 and tables 11-12

Note: plot 40 was produced with LKTC method, code for which is currently not public and not possible to be retrieved from the authors. Currently (2011 data) the result is consistent with that obtained with Tag-And-Probe.

Step 6: Background estimation

There are various methods employed to estimate the QCD background in a data-driven way (QCD is currently the only background estimated not from MC). The most important are the template fit method and the weight map method: carefully read chapter6 of the CMS-AN-11-013 for more details on the methods.

Reweighting method. First of all, read the quick description (in addition to what is written in the note) and also see this presentation .

cd ..
cvs co -d ControlPlots UserCode/Purdue/DYAnalysis/AnalysisMacros/QCDEstimation

There are few steps in this method. First of all, create a pT-eta weight look-up table indicating probability of a muon to be isolated as a function of muon pT-eta:

cd ControlPlots
root -l WeightMapFiller.C

The next step is to view the map, and to test it on the sample of dimuons and single muons:

root -l testWeightMapDouble.C
root -l testWeightMapSingle.C

Other methods used for the QCD background estimation in the note are the SS/OS pair method and template fit method (carefully read the note on the description!). For the SS-OS method, which uses the discriminative power of the isolation variable, considering classes of events having 2, 1or 0 isolated muon. You can get the plot by running:

cvs co UserCode/ASvyatkovskiy/QCD_Background
cd UserCode/ASvyatkovskiy/QCD_Background
root -l bgSS_OS.C

As for the template fit method:

root -l
.L auto_fits.C; fitAll()
#It needs input parameters - the important ones are
#bool etaBelow1_2 = false;
#bool fitFirstMu = true;
#bool singleMu = false;

Note: the original input files can be found at:


Checkpoint: this macros will allow one to reproduce the plots 45-48 from the note as well as tables 13-15 from the note

Step 7: Unfolding

Unfolding is applied to correct for migration of entries between bins caused by mass resolution effects (FSR correction is taken into account as a separate step).  For use in the Drell-Yan analysis, the choice for unfolding is matrix inversion. Provides a common interface between channels for symmetry and ease in combination and systematic studies.

To do any unfolding with MC, this requires 3 things:

  • Producing the response matrix
  • Making the histogram of measured events
  • Making the true histogram (clearly not used/available when unfolding data)

First, one can do some exercise, for that use script that demonstrates how the unfolding/fore-folding object works.

cvs co UserCode/kypreos/drellYan2010/unfolding
cd UserCode/kypreos/drellYan2010/unfolding/
root -l test/testExpo.C++

To get back the pulls:

root -l test/testPulls.C++

The macros in the note are produced with the following:

 cvs co /UserCode/Purdue/DYAnalysis/Unfolding

1. To rpoduce the response matrix:

root -l unfoldingObs.C

2. To produce the unfolded yield plot do

root -l yield.C

Checkpoint7 with this macros one should be able to reproduce the plot 49-50 from the note and Tables 17-18 (note, the table 18 uses the background yield result from the background section)

Step 8: FSR correction

The effect of FSR is manifested by photon emission off the final state muon. It leads to change of the dimuon invariant mass and as a result a dimuon has invariant mass distinct from the propagator (or Z/gamma*) mass.

For our analysis we estimate the effect of FSR and the corresponding correction by estimating the bin-by-bin correction in invariant mass bins. Which is done by comparing the pre-FSR and the post-FSR spectra. The pre-FSR spectrum can be obtained by requiring mother of muon to be Z/gamma*, post FSR spectrum is when the mother is whatever.. The corresponding plots in the note are: 52-55 they all can be calculated with the information avaialble in the ntuple using

root -l InvMassFSR.C++

To get the FSR histograms one needs to turno on calculateFSR flag on.

Checkpoint: this macro will allow one to get plots 52-55 from the note

Step 9: Systematic uncertainty estimation

Step 10: Plotting the results

The main result of the measurement is the cross-section ratio or R shape. We distinguish R and r shapes (see the note chapter9 for details on the definition and also see Figures 64). The figure 64 shows the shape R for theory and measurement (for two independent trigger scenarios). It relies on the theoretical cross-section measurement (1-2GeV bin), the final numbers for acceptance correction and also the final numbers for cross-section measurement. To give a clearer feeling of what this plot depends on I name the tables that are used to produce the number in the plot 64:

Table 21-24: Theoretical predictions

Tables 25-26: Measurement

Table 5-10: Acceptance-efficiency corrections

To run the code one simply needs:

cvs co UserCode/Purdue/DYAnalysis/AnalysisMacros/GautierMacro
cp UserCode/Purdue/DYAnalysis/AnalysisMacros/GautirMacro/* $CONTROL_PLOTS_DIR
root -l theory_plot.C++

Use Gautier style macros to get the same plots with different style:

root -l DY.C
root -l plot.C

A lot of intersting information can be retrieved from the Zprime JTERM SHORT and LONG exercises (which are constructed along the same lines as this tutorial).

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