diff --git a/CODEOWNERS b/CODEOWNERS index da8d6248..3b423b80 100644 --- a/CODEOWNERS +++ b/CODEOWNERS @@ -5,6 +5,7 @@ # @c-dilks Christopher Dilks # @RichCap Richard Capobianco # @rtysonCLAS12 Richard Tyson +# @Gregtom3 Gregory Matousek ################################################################################# * @c-dilks @@ -13,3 +14,4 @@ src/iguana/algorithms/clas12/ZVertexFilter/* @rtysonCLAS12 src/iguana/algorithms/clas12/SectorFinder/* @rtysonCLAS12 src/iguana/algorithms/clas12/FTEnergyCorrection/* @asligonulacar src/iguana/services/YAMLReader.* @rtysonCLAS12 @c-dilks +src/iguana/algorithms/clas12/PhotonGBTFilter/* @Gregtom3 diff --git a/src/iguana/algorithms/Algorithm.h b/src/iguana/algorithms/Algorithm.h index 8d217c56..548cd3ff 100644 --- a/src/iguana/algorithms/Algorithm.h +++ b/src/iguana/algorithms/Algorithm.h @@ -9,6 +9,7 @@ #include + #include "iguana/algorithms/AlgorithmBoilerplate.h" #include "iguana/services/Object.h" #include "iguana/services/YAMLReader.h" diff --git a/src/iguana/algorithms/TypeDefs.h b/src/iguana/algorithms/TypeDefs.h index 20c46c57..90d62693 100644 --- a/src/iguana/algorithms/TypeDefs.h +++ b/src/iguana/algorithms/TypeDefs.h @@ -15,7 +15,7 @@ namespace iguana { /// 3-vector container type using vector3_t = std::tuple; /// 4-vector container type - using vector4_t = std::tuple; + using vector4_t = std::tuple; /// Light-weight namespace for particle constants namespace particle { @@ -23,34 +23,58 @@ namespace iguana { /// PDG codes enum PDG { - electron = 11, - pi_plus = 211, - pi_minus = -211, - proton = 2212 + electron = 11, + photon = 22, + proton = 2212, + antiproton = -2212, + neutron = 2112, + antineutron = -2112, + pi_plus = 211, + pi_minus = -211, + kaon_plus = 321, + kaon_minus = -321 }; /// Particle names const std::unordered_map name{ { electron, "electron" }, - { pi_plus, "pi_plus" }, + { photon, "photon" }, + { proton, "proton" }, + { antiproton, "antiproton" }, + { neutron, "neutron" }, + { antineutron, "antineutron" }, + { pi_plus, "pi_plus" }, { pi_minus, "pi_minus" }, - { proton, "proton" } + { kaon_plus, "kaon_plus" }, + { kaon_minus, "kaon_minus" } }; /// Particle titles const std::unordered_map title{ - { electron, "e^{-}" }, - { pi_plus, "#pi^{+}" }, + { electron, "e^{-}" }, + { photon, "#gamma" }, + { proton, "p" }, + { antiproton, "#bar{p}" }, + { neutron, "n" }, + { antineutron, "#bar{n}" }, + { pi_plus, "#pi^{+}" }, { pi_minus, "#pi^{-}" }, - { proton, "p" } + { kaon_plus, "K^{+}" }, + { kaon_minus, "K^{-}" } }; /// Particle mass in GeV const std::unordered_map mass{ - { electron, 0.00051099895000 }, - { pi_plus, 0.13957039 }, - { pi_minus, 0.13957039 }, - { proton, 0.93827208816 } + { electron, 0.000511 }, + { photon, 0.0 }, + { proton, 0.938272 }, + { antiproton, 0.938272 }, + { neutron, 0.939565 }, + { antineutron, 0.939565 }, + { pi_plus, 0.139570 }, + { pi_minus, 0.139570 }, + { kaon_plus, 0.493677 }, + { kaon_minus, 0.493677 } }; // clang-format on diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/Algorithm.cc b/src/iguana/algorithms/clas12/PhotonGBTFilter/Algorithm.cc new file mode 100644 index 00000000..cff1dd5c --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/Algorithm.cc @@ -0,0 +1,396 @@ +#include "Algorithm.h" + +namespace iguana::clas12 { + + REGISTER_IGUANA_ALGORITHM(PhotonGBTFilter); + + void PhotonGBTFilter::Start(hipo::banklist& banks) + { + ParseYAMLConfig(); + + b_particle = GetBankIndex(banks, "REC::Particle"); + b_calorimeter = GetBankIndex(banks, "REC::Calorimeter"); + b_config = GetBankIndex(banks, "RUN::config"); + + o_pass = GetOptionScalar("pass",{}); + o_threshold = GetOptionScalar("threshold",{}); + } + + + + void PhotonGBTFilter::Run(hipo::banklist& banks) const + { + + auto& particleBank = GetBank(banks, b_particle, "REC::Particle"); + auto& caloBank = GetBank(banks, b_calorimeter, "REC::Calorimeter"); + auto& configBank = GetBank(banks,b_config,"RUN::config"); + int runnum = configBank.getInt("run",0); + + // Get CaloMap for the event + auto calo_map = GetCaloMap(caloBank); + + // dump the bank + ShowBank(particleBank, Logger::Header("INPUT PARTICLES")); + + // Loop over each photon in the particleBank to classify it + // Here we loop over the particleBank RowList + // This ensures we are only concerned with filtering photons that passed upstream filters + particleBank.getMutableRowList().filter([this, &caloBank, &calo_map, runnum](auto bank, auto row) { + auto pid = bank.getInt("pid", row); + if (pid != 22) return true; + return Filter(bank, caloBank, calo_map, row, runnum); + }); + + // dump the modified bank + ShowBank(particleBank, Logger::Header("OUTPUT PARTICLES")); + + } + + bool PhotonGBTFilter::PidPurityPhotonFilter(float const E, float const Epcal, float const theta) const + { + // Apply standard pid cuts on the photon, compatible to how the models were trained + // 1. Minimum photon energy cut of 200 MeV + // 2. Photon must have deposited energy in the PCal + // 3. Photon must be in the Forward Detector + if( E<0.2 || Epcal <= 0 || !(ForwardDetectorFilter(theta))) return false; + return true; + } + + bool PhotonGBTFilter::ForwardDetectorFilter(float const theta) const + { + // Apply forward detector cut + if( theta*180/M_PI<5 || theta*180/M_PI>35 ) return false; + return true; + } + + bool PhotonGBTFilter::Filter(hipo::bank const &particleBank, hipo::bank const &caloBank, std::map calo_map, int const row, int const runnum) const + { + + // Set variables native to the photon we are classifying + double gPx = particleBank.getFloat("px",row); + double gPy = particleBank.getFloat("py",row); + double gPz = particleBank.getFloat("pz",row); + + // Set ML features intrinsic to the photon of interest + double gE = sqrt(gPx*gPx+gPy*gPy+gPz*gPz); + double gTheta = acos(gPz / gE); + double gEpcal = calo_map[row].pcal_e; + double gm2u = calo_map[row].pcal_m2u; + double gm2v = calo_map[row].pcal_m2v; + + // Apply PID purity cuts on the photon + // If they do not pass, then these photons are incompatible with the trained GBT model + if( PidPurityPhotonFilter(gE,gEpcal,gTheta)==false ) return false; + + //Define the variables "m_g" , "m_ch" , "m_nh" + //Should not be changed because the model was trained with this specific set of inputs + int const m_g = 3; // Number of neighboring gammas + int const m_ch = 2; // Number of neighboring charged hadrons (protons, pions, kaons) + int const m_nh = 2; // Number of neighboring neutral hadrons (neutrons) + + double R_e = 0; + double dE_e = 0; + + double R_gamma[m_g]; // Angular distance between calo shower centers + double dE_gamma[m_g]; // Energy difference + double Epcal_gamma[m_g]; // Energy deposited in the pcal + double m2u_gamma[m_g]; // Shower shape variables + double m2v_gamma[m_g]; // Shower shape variables + + double R_ch[m_ch]; // Angular distance between calo shower centers + double dE_ch[m_ch]; // Energy difference + double Epcal_ch[m_ch]; // Energy deposited in the pcal + double m2u_ch[m_ch]; // Shower shape variables + double m2v_ch[m_ch]; // Shower shape variables + + double R_nh[m_nh]; // Angular distance between calo shower centers + double dE_nh[m_nh]; // Energy difference + double Epcal_nh[m_nh]; // Energy deposited in the pcal + double m2u_nh[m_nh]; // Shower shape variables + double m2v_nh[m_nh]; // Shower shape variables + + double num_photons_0_1, num_photons_0_2, num_photons_0_35; + + //Initialize the arrays + for (int i=0; i i) { + R_gamma[j] = R_gamma[j - 1]; + dE_gamma[j] = dE_gamma[j - 1]; + Epcal_gamma[j] = Epcal_gamma[j - 1]; + m2u_gamma[j] = m2u_gamma[j - 1]; + m2v_gamma[j] = m2v_gamma[j - 1]; + j--; + } + R_gamma[i] = R; + dE_gamma[i] = gE - E; + Epcal_gamma[i] = calo_PART.pcal_e; + m2u_gamma[i] = calo_PART.pcal_m2u; + m2v_gamma[i] = calo_PART.pcal_m2v; + break; + } + } + } + else if(pid==11){//electron + if(R i) { + R_ch[j] = R_ch[j - 1]; + dE_ch[j] = dE_ch[j - 1]; + Epcal_ch[j] = Epcal_ch[j - 1]; + m2u_ch[j] = m2u_ch[j - 1]; + m2v_ch[j] = m2v_ch[j - 1]; + j--; + } + R_ch[i] = R; + dE_ch[i] = gE- E; + Epcal_ch[i] = calo_PART.pcal_e; + m2u_ch[i] = calo_PART.pcal_m2u; + m2v_ch[i] = calo_PART.pcal_m2v; + break; + } + } + } + else if(pid==2112||pid==-2112){//neutral hadron + for (int i=0; i i) { + R_nh[j] = R_nh[j - 1]; + dE_nh[j] = dE_nh[j - 1]; + Epcal_nh[j] = Epcal_nh[j - 1]; + m2u_nh[j] = m2u_nh[j - 1]; + m2v_nh[j] = m2v_nh[j - 1]; + j--; + } + R_nh[i] = R; + dE_nh[i] = gE - E; + Epcal_nh[i] = calo_PART.pcal_e; + m2u_nh[i] = calo_PART.pcal_m2u; + m2v_nh[i] = calo_PART.pcal_m2v; + break; + } + } + } + else{//unrecognized OR uncompatible particle type for the trained model + continue; + } + } + + // Create and populate input_data vector for the ML model + std::vector input_data = { + static_cast(gE), static_cast(gEpcal), static_cast(gTheta), + static_cast(gm2u), static_cast(gm2v), static_cast(R_e), + static_cast(dE_e) + }; + + + for (int i = 0; i < m_g; ++i) input_data.push_back(static_cast(R_gamma[i])); + for (int i = 0; i < m_g; ++i) input_data.push_back(static_cast(dE_gamma[i])); + for (int i = 0; i < m_g; ++i) input_data.push_back(static_cast(Epcal_gamma[i])); + for (int i = 0; i < m_g; ++i) input_data.push_back(static_cast(m2u_gamma[i])); + for (int i = 0; i < m_g; ++i) input_data.push_back(static_cast(m2v_gamma[i])); + + + + for (int i = 0; i < m_ch; ++i) input_data.push_back(static_cast(R_ch[i])); + for (int i = 0; i < m_ch; ++i) input_data.push_back(static_cast(dE_ch[i])); + for (int i = 0; i < m_ch; ++i) input_data.push_back(static_cast(Epcal_ch[i])); + for (int i = 0; i < m_ch; ++i) input_data.push_back(static_cast(m2u_ch[i])); + for (int i = 0; i < m_ch; ++i) input_data.push_back(static_cast(m2v_ch[i])); + + + + for (int i = 0; i < m_nh; ++i) input_data.push_back(static_cast(R_nh[i])); + for (int i = 0; i < m_nh; ++i) input_data.push_back(static_cast(dE_nh[i])); + for (int i = 0; i < m_nh; ++i) input_data.push_back(static_cast(Epcal_nh[i])); + for (int i = 0; i < m_nh; ++i) input_data.push_back(static_cast(m2u_nh[i])); + for (int i = 0; i < m_nh; ++i) input_data.push_back(static_cast(m2v_nh[i])); + + + input_data.push_back(static_cast(num_photons_0_1)); + input_data.push_back(static_cast(num_photons_0_2)); + input_data.push_back(static_cast(num_photons_0_35)); + + return ClassifyPhoton(input_data, runnum); + } + + bool PhotonGBTFilter::ClassifyPhoton(std::vector const &input_data, int const runnum) const { + auto modelFunction = getModelFunction(runnum); + double sigmoid_x = modelFunction(input_data); + double prediction = 1 / (1 + exp(-sigmoid_x)); + return (prediction > o_threshold); + } + + std::map PhotonGBTFilter::GetCaloMap(hipo::bank const& bank) const + { + std::map calo_map; + // Loop over REC::Calorimeter rows + // Here we use bank.getRows() to purposefully ignore upstream filters + for(int row = 0; row < bank.getRows(); row++){ + auto pindex = bank.getInt("pindex",row); + auto x = bank.getFloat("x",row); + auto y = bank.getFloat("y",row); + auto z = bank.getFloat("z",row); + auto m2u = bank.getFloat("m2u",row); + auto m2v = bank.getFloat("m2v",row); + auto layer = bank.getInt("layer",row); + auto e = bank.getFloat("energy",row); + + // Ensure an entry exists in the map for the given pindex + if (calo_map.find(pindex) == calo_map.end()) { + calo_map[pindex] = PhotonGBTFilter::calo_row_data(); + } + + switch(layer){ + case 1: // pcal + calo_map[pindex].pcal_x = x; + calo_map[pindex].pcal_y = y; + calo_map[pindex].pcal_z = z; + calo_map[pindex].pcal_e = e; + calo_map[pindex].pcal_m2u = m2u; + calo_map[pindex].pcal_m2v = m2v; + break; + case 4: // ecin + calo_map[pindex].ecin_x = x; + calo_map[pindex].ecin_y = y; + calo_map[pindex].ecin_z = z; + break; + case 7: // ecout + calo_map[pindex].ecout_x = x; + calo_map[pindex].ecout_y = y; + calo_map[pindex].ecout_z = z; + break; + } + } + return calo_map; + } + + ROOT::Math::XYZVector PhotonGBTFilter::GetParticleCaloVector(PhotonGBTFilter::calo_row_data calo_row) const { + // Determine the 3-vector location of where the photon of interest's calo deposition is + // First we check the pcal coords, then ecin, then ecout + ROOT::Math::XYZVector v; + if (calo_row.pcal_x == 0) { + if (calo_row.ecin_x == 0) { + v.SetXYZ(calo_row.ecout_x, calo_row.ecout_y, calo_row.ecout_z); + } else { + v.SetXYZ(calo_row.ecin_x, calo_row.ecin_y, calo_row.ecin_z); + } + } else { + v.SetXYZ(calo_row.pcal_x, calo_row.pcal_y, calo_row.pcal_z); + } + return v; + } + + double PhotonGBTFilter::GetMass(int pid) const { + auto it = particle::mass.find(static_cast(pid)); + if (it != particle::mass.end()) { + return it->second; + } else { + return -1.0; // Default mass if pid not found + } + } + + std::function const &)> PhotonGBTFilter::getModelFunction(int runnum) const { + + for (const auto &entry : modelMap) { + if (runnum >= std::get<0>(entry.first) && runnum <= std::get<1>(entry.first) && o_pass == std::get<2>(entry.first)) { + return entry.second; + } + } + + // Default to RGA inbending pass1 if no match found + m_log->Warn("Run Number {} with pass {} has no matching PhotonGBT model...Defaulting to RGA inbending pass1...", runnum, o_pass); + return [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass1(data); }; + } + + void PhotonGBTFilter::Stop() + { + } + +} diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/Algorithm.h b/src/iguana/algorithms/clas12/PhotonGBTFilter/Algorithm.h new file mode 100644 index 00000000..b75be5ca --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/Algorithm.h @@ -0,0 +1,149 @@ +#pragma once + +#include "iguana/algorithms/Algorithm.h" +#include "iguana/algorithms/TypeDefs.h" +#include "models/RGA_inbending_pass1.cpp" +#include "models/RGA_outbending_pass1.cpp" +#include "models/RGA_inbending_pass2.cpp" +#include "models/RGA_outbending_pass2.cpp" +#include "models/RGC_Summer2022_pass1.cpp" + +#include +#include + +namespace iguana::clas12 { + + /// + /// @brief_algo Filter the `REC::Particle` photons using pretrained GBT models + /// + /// For each photon (labeled the photon of interest or POI), we obtain its intrinsic features (energy, angle, pcal edep, etc.) and features corresponding to its nearest neighbors (angle of proximity, energy difference, etc.). This requires the reading of both the REC::Particle and REC::Calorimeter banks. An input std::vector is produced and passed to the pretrained GBT models, which yield a classification score between 0 and 1. An option variable `threshold` then determines the minimum photon `p-value` to survive the cut. + /// + /// @begin_doc_algo{Filter} + /// @input_banks{REC::Particle, REC::Calorimeter, RUN::config} + /// @output_banks{REC::Particle} + /// @end_doc + /// + /// @begin_doc_config + /// @config_param{pass | int | cook type} + /// @config_param{threshold | double | minimum value to qualify a photon as "true"} + /// @end_doc + class PhotonGBTFilter : public Algorithm + { + + DEFINE_IGUANA_ALGORITHM(PhotonGBTFilter, clas12::PhotonGBTFilter) + + public: + + void Start(hipo::banklist& banks) override; + void Run(hipo::banklist& banks) const override; + void Stop() override; + + private: + + struct calo_row_data { + double pcal_x = 0; + double pcal_y = 0; + double pcal_z = 0; + double ecin_x = 0; + double ecin_y = 0; + double ecin_z = 0; + double ecout_x = 0; + double ecout_y = 0; + double ecout_z = 0; + double pcal_e = 0; + double pcal_m2u = 0; + double pcal_m2v = 0; + double ecin_e = 0; + double ecin_m2u = 0; + double ecin_m2v = 0; + double ecout_e = 0; + double ecout_m2u = 0; + double ecout_m2v = 0; + }; + + /// **Method**: Applies pid purity cuts to photons, compatible to how the GBT models are trained + /// @param E energy of the photon + /// @param Epcal energy the photon has deposited in the pre-shower calorimeter + /// @param theta lab angle of the photon with respect to the beam direction (radians) + /// @returns `true` if the photon passes the pid purity cuts, `false` otherwise + bool PidPurityPhotonFilter(float const E, float const Epcal, float const theta) const; + + + /// **Method**: Applies forward detector cut using REC::Particle Theta + /// @param theta lab angle of the particle with respect to the beam direction (radians) + /// @returns `true` if the particle's theta is within the forward detector coverage, `false` otherwise + bool ForwardDetectorFilter(float const theta) const; + + /// **Action function**: Classifies the photon for a given event as signal or background + /// @param particleBank the REC::Particle hipo bank + /// @param caloBank the REC::Calorimeter hipo bank + /// @param calo_map the std::map<> of calorimeter data for the event, indexed by pindex + /// @param row the row corresponding to the photon being classified + /// @param runnum the current run number + /// @returns `true` if the photon is to be considered signal, otherwise `false` + bool Filter(hipo::bank const &particleBank, hipo::bank const &caloBank, std::map calo_map, int const row, int const runnum) const; + + + /// **Method**: Calls the appropriate CatBoost model for the given run group, classifying the photon of interest + /// @param input_data the input features of the model + /// @param runnum the run number associated to the event + /// @returns `true` if the + bool ClassifyPhoton(std::vector const &input_data, int const runnum) const; + + + /// **Method**: Gets calorimeter data for particles in the event + /// @param bank the bank to get data from + /// @returns a map with keys as particle indices (pindex) and values as calo_row_data structs + std::map GetCaloMap(hipo::bank const &bank) const; + + + /// **Method**: Gets the calorimeter vector for a particle in the event + /// @param crd data struct of a single REC::Calorimeter's row data + /// @returns a ROOT::Math::XYZVector with the coordinates of the particle in the calorimeter + ROOT::Math::XYZVector GetParticleCaloVector(PhotonGBTFilter::calo_row_data calo_row) const; + + + /// **Method**: Gets the mass of a particle given its PID + /// @param pid the particle ID to get the mass for + /// @returns the mass of the particle in GeV; returns -1.0 if the PID is not recognized + double GetMass(int pid) const; + + + /// **Method**: Gets the model function for the run number + /// @param runnum the run of the associated event + /// @returns GBT function for the run period + std::function const &)> getModelFunction(int runnum) const; + + /// `hipo::banklist` + hipo::banklist::size_type b_particle; + hipo::banklist::size_type b_calorimeter; + hipo::banklist::size_type b_config; // RUN::config + + /// Threshold value for model predictions + double o_threshold = 0.78; + + /// Integer for the event reconstruction pass + int o_pass = 1; + + /// Map for the GBT Models to use depending on pass and run number + const std::map, std::function const &)>> modelMap = { + {{5032, 5332, 1}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass1(data); }}, // Fall2018 RGA Inbending + {{5032, 5332, 2}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass2(data); }}, // Fall2018 RGA Inbending + {{5333, 5666, 1}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_outbending_pass1(data); }}, // Fall2018 RGA Outbending + {{5333, 5666, 2}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_outbending_pass2(data); }}, // Fall2018 RGA Outbending + {{6616, 6783, 1}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass1(data); }}, // Spring2019 RGA Inbending + {{6616, 6783, 2}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass2(data); }}, // Spring2019 RGA Inbending + {{6156, 6603, 1}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass1(data); }}, // Spring2019 RGB Inbending + {{6156, 6603, 2}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass2(data); }}, // Spring2019 RGB Inbending + {{11093, 11283, 1}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_outbending_pass1(data); }}, // Fall2019 RGB Outbending + {{11093, 11283, 2}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_outbending_pass2(data); }}, // Fall2019 RGB Outbending + {{11284, 11300, 1}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass1(data); }}, // Fall2019 RGB BAND Inbending + {{11284, 11300, 2}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass2(data); }}, // Fall2019 RGB BAND Inbending + {{11323, 11571, 1}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass1(data); }}, // Spring2020 RGB Inbending + {{11323, 11571, 2}, [this](std::vector const &data) { return ApplyCatboostModel_RGA_inbending_pass2(data); }}, // Spring2020 RGB Inbending + {{16042, 16772, 1}, [this](std::vector const &data) { return ApplyCatboostModel_RGC_Summer2022_pass1(data); }}, // Summer2022 RGC Inbending + {{16042, 16772, 2}, [this](std::vector const &data) { return ApplyCatboostModel_RGC_Summer2022_pass1(data); }} // Summer2022 RGC Inbending (no pass2 currently) + }; + }; + +} \ No newline at end of file diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/Config.yaml b/src/iguana/algorithms/clas12/PhotonGBTFilter/Config.yaml new file mode 100644 index 00000000..91291015 --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/Config.yaml @@ -0,0 +1,3 @@ +clas12::PhotonGBTFilter: + pass: 1 + threshold: 0.78 \ No newline at end of file diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/Validator.cc b/src/iguana/algorithms/clas12/PhotonGBTFilter/Validator.cc new file mode 100644 index 00000000..8ff7b496 --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/Validator.cc @@ -0,0 +1,152 @@ +#include "Validator.h" +namespace iguana::clas12 { + + REGISTER_IGUANA_VALIDATOR(PhotonGBTFilterValidator); + + void PhotonGBTFilterValidator::Start(hipo::banklist& banks) + { + // define the algorithm sequence + m_algo_seq = std::make_unique(); + m_algo_seq->Add("clas12::PhotonGBTFilter"); + m_algo_seq->Add("clas12::EventBuilderFilter"); + m_algo_seq->SetOption>("clas12::EventBuilderFilter", "pids", u_pdg_list); + m_algo_seq->Start(banks); + + // get bank indices + b_particle = GetBankIndex(banks, "REC::Particle"); + + // set an output file + auto output_dir = GetOutputDirectory(); + if(output_dir) { + m_output_file_basename = output_dir.value() + "/photon_gbt"; + m_output_file = new TFile(m_output_file_basename + ".root", "RECREATE"); + } + + InitializeHistograms(); + } + + void PhotonGBTFilterValidator::Run(hipo::banklist& banks) const + { + // get the particle bank + auto& particle_bank = GetBank(banks, b_particle, "REC::Particle"); + + std::vector photons; + for(auto const& row : particle_bank.getRowList()) { + auto pid = particle_bank.getInt("pid",row); + if(pid!=22) continue; + float px = particle_bank.getFloat("px",row); + float py = particle_bank.getFloat("py",row); + float pz = particle_bank.getFloat("pz",row); + float E = std::hypot(px,py,pz); + ROOT::Math::PxPyPzEVector phot(px,py,pz,E); + photons.push_back(phot); + } + + // run the photon filter + m_algo_seq->Run(banks); + + std::vector filtered_photons; + for(auto const& row : particle_bank.getRowList()) { + auto pid = particle_bank.getInt("pid",row); + if(pid!=22) continue; + float px = particle_bank.getFloat("px",row); + float py = particle_bank.getFloat("py",row); + float pz = particle_bank.getFloat("pz",row); + float E = std::hypot(px,py,pz); + ROOT::Math::PxPyPzEVector phot(px,py,pz,E); + filtered_photons.push_back(phot); + } + + // fill the plots + FillHistograms(photons, 0); + FillHistograms(filtered_photons, 1); + + } + + void PhotonGBTFilterValidator::InitializeHistograms() { + std::vector> histInfos = { + {0, "before"}, + {1, "after"} + }; + + for (const auto& [idx, label] : histInfos) { + h_Mgg[idx] = new TH1F(Form("h_Mgg_%s", label.Data()), ";M_{#gamma#gamma} [GeV]", 100, 0.02, 0.5); + h_P[idx] = new TH1F(Form("h_P_%s", label.Data()), ";P(#gamma) [GeV]", 100, 0, 2); + h_Th[idx] = new TH1F(Form("h_Th_%s", label.Data()), ";#theta(#gamma) [deg]", 100, 0, 36); + h_Phi[idx] = new TH1F(Form("h_Phi_%s", label.Data()), ";#phi(#gamma) [deg]", 100, -180, 180); + + int color = (idx == 0) ? kBlack : kRed; + + ConfigureHistogram(h_Mgg[idx], color); + ConfigureHistogram(h_P[idx], color); + ConfigureHistogram(h_Th[idx], color); + ConfigureHistogram(h_Phi[idx], color); + } + } + + void PhotonGBTFilterValidator::ConfigureHistogram(TH1F* hist, int color) { + hist->SetLineColor(color); + hist->SetLineWidth(2); + hist->GetXaxis()->SetTitleSize(0.06); + hist->GetYaxis()->SetTitleSize(0.06); + } + + void PhotonGBTFilterValidator::FillHistograms(const std::vector& photons, int idx) const + { + for (const auto& photon : photons) { + h_P.at(idx)->Fill(photon.P()); + h_Th.at(idx)->Fill(photon.Theta() * 180.0 / M_PI); + h_Phi.at(idx)->Fill(photon.Phi() * 180.0 / M_PI); + } + + for (size_t i = 0; i < photons.size(); ++i) { + for (size_t j = i + 1; j < photons.size(); ++j) { + auto diphoton = photons[i] + photons[j]; + h_Mgg.at(idx)->Fill(diphoton.M()); + } + } + } + + void PhotonGBTFilterValidator::Stop() + { + if(GetOutputDirectory()){ + int n_rows = 2; + int n_cols = 2; + auto canv = new TCanvas("c","c",n_cols*800,n_rows*800); + canv->Divide(n_cols,n_rows); + gStyle->SetOptStat(0); + for(int pad_num = 0; pad_num < 4; pad_num++){ + auto pad = canv->GetPad(pad_num+1); + pad->cd(); + pad->SetGrid(1, 1); + pad->SetLogz(); + pad->SetLeftMargin(0.12); + pad->SetRightMargin(0.12); + pad->SetBottomMargin(0.12); + switch(pad_num){ + case 0: + h_Mgg[0]->Draw("hist"); + h_Mgg[1]->Draw("hist same"); + break; + case 1: + h_P[0]->Draw("hist"); + h_P[1]->Draw("hist same"); + break; + case 2: + h_Th[0]->Draw("hist"); + h_Th[1]->Draw("hist same"); + break; + case 3: + h_Phi[0]->Draw("hist"); + h_Phi[1]->Draw("hist same"); + break; + } + } + canv->SaveAs(m_output_file_basename + "_plot.png"); + m_output_file->Write(); + m_log->Info("Wrote output file {}", m_output_file->GetName()); + m_output_file->Close(); + } + } + +} diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/Validator.h b/src/iguana/algorithms/clas12/PhotonGBTFilter/Validator.h new file mode 100644 index 00000000..a65fb266 --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/Validator.h @@ -0,0 +1,50 @@ +#pragma once + +#include "iguana/algorithms/Validator.h" +#include "iguana/algorithms/TypeDefs.h" +#include +#include +#include +#include +#include +#include + +namespace iguana::clas12 { + + /// @brief `iguana::clas12::PhotonGBTFilter` validator + class PhotonGBTFilterValidator : public Validator + { + + DEFINE_IGUANA_VALIDATOR(PhotonGBTFilterValidator, clas12::PhotonGBTFilterValidator) + + public: + + void Start(hipo::banklist& banks) override; + void Run(hipo::banklist& banks) const override; + void Stop() override; + + private: + + void FillHistograms(const std::vector& photons, int idx) const; + void InitializeHistograms(); + void ConfigureHistogram(TH1F* hist, int color); + + hipo::banklist::size_type b_particle; + + std::vector const u_pdg_list = { + particle::PDG::electron, + particle::PDG::photon}; + + TString m_output_file_basename; + TFile* m_output_file; + + + std::map h_Mgg; + std::map h_P; + std::map h_Th; + std::map h_Phi; + + }; + +} + diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_inbending_pass1.cpp b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_inbending_pass1.cpp new file mode 100644 index 00000000..1448c4b3 --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_inbending_pass1.cpp @@ -0,0 +1,5057 @@ +// clang-format off + +#include +#include + +/* Model data */ +static const struct CatboostModel_RGA_inbending_pass1 { + unsigned int FloatFeatureCount = 45; + unsigned int BinaryFeatureCount = 13535; + unsigned int TreeCount = 4993; + unsigned int TreeDepth[4993] = {5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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12311, 12744, 13015, 11623, 1413, 680, 8118, 7385, 5008, 13519, 4479, 8401, 13519, 7726, 5374, 1142, 1536, 3251, 718, 4347, 3184, 3137, 431, 1160, 1247, 524, 773, 4619, 6377, 13490, 688, 7232, 5145, 832, 92, 6293, 8671, 4643, 4719, 582, 5464, 9555, 9539, 4643, 11492, 12335, 6012, 5879, 1308, 569, 502, 1443, 722, 3284, 1648, 4280, 6129, 4812, 4425, 1820, 6442, 3562, 4250, 2096, 3271, 2986, 3151, 1965, 4417, 3556, 4266, 12692, 563, 1289, 480, 1227, 1484, 2237, 3047, 2068, 4837, 4451, 6381, 5379, 6812, 4587, 13521, 13493, 6377, 4470, 13491, 6202, 4941, 7441, 13519, 208, 6665, 13508, 2276, 1654, 4597, 2708, 4643, 4517, 1864, 244, 1450, 730, 3327, 1701, 4035, 1476, 753, 3280, 4420, 1571, 5296, 8092, 7318, 5102, 99, 11823, 12563, 1366, 635, 1413, 10085, 9206, 10413, 11458, 4832, 3712, 947, 269, 416, 1123, 792, 378, 1063, 2276, 1826, 2790, 2599, 1364, 673, 3261, 1481, 761, 1459, 743, 3284, 1469, 748, 1422, 701, 3284, 4434, 4793, 1053, 2716, 362, 4453, 6377, 5364, 6812, 3236, 13520, 9827, 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11901, 11482, 3345, 1802, 4123, 3839, 864, 3588, 5226, 416, 4434, 7523, 4883, 4643, 569, 8394, 13519, 7708, 2276, 3188, 1978, 2537, 4779, 3226, 4001, 3151, 1983, 2537, 4779, 3236, 13521, 13510, 6833, 13491, 5814, 4451, 6377, 1983, 4704, 4597, 2244, 832, 92, 787, 5071, 2274, 3645, 3998, 3226, 3188, 8065, 4677, 5661, 5443, 616, 6157, 3526, 4029, 1879, 648, 11817, 11792, 4739, 10060, 9244, 5314, 6257, 4948, 87, 5111, 1536, 385, 3241, 4246, 3193, 3141, 8823, 5136, 1329, 592, 6634, 5457, 5952, 7946, 6812, 9818, 9221, 9174, 6478, 10500, 9551, 10234, 10677, 4864, 917, 6124, 12079, 11323, 4739, 11482, 4447, 6377, 3010, 3216, 13508, 7250, 8619, 4739, 535, 7370, 12360, 4513, 3175, 4164, 3241, 2708, 4643, 773, 303, 1678, 12692, 6542, 11539, 1179, 3276, 1377, 648, 2415, 1978, 4902, 6029, 8557, 13520, 7019, 5838, 398, 1159, 1227, 502, 2279, 1422, 688, 4572, 13508, 7775, 1464, 739, 3261, 4384, 2968, 204, 975, 9550, 3483, 2299, 1469, 753, 2805, 2515, 3266, 2634, 2606, 2981, 2118, 4328, 1481, 2927, 2634, 4968, 8263, 2688, 8302, 5071, 10863, 9203, 9467, 3980, 3221, 3280, 4215, 10085, 9191, 10426, 11443, 11291, 6953, 5887, 3971, 3463, 1741, 1484, 613, 1351, 2716, 4542, 4434, 3271, 7482, 4658, 706, 3725, 928, 4828, 3899, 3216, 9846, 9235, 9366, 4071, 3470, 447, 1205, 1261, 520, 2716, 1400, 655, 4597, 13508, 11473, 1450, 725, 3331, 1757, 4090, 214, 966, 297, 1080, 401, 1476, 757, 2835, 2512, 1430, 8065, 4619, 6430, 1567, 2276, 1481, 766, 4434, 3284, 4352, 6304, 5085, 251, 4895, 7503, 11326, 12323, 548, 1314, 4597, 6651, 5468, 3331, 7819, 5390, 6039, 5870, 1142, 367, 4921, 12197, 11423, 3256, 4856, 4619, 2274, 1973, 782, 3070, 355, 3712, 9127, 10011, 2034, 9217, 5314, 6202, 3431, 4207, 1862, 5689, 8937, 7684, 1020, 330, 2782, 1410, 665, 4852, 7327, 200, 11386, 12955, 12201, 4587, 3810, 4919, 3197, 2953, 2054, 8656, 4677, 1142, 4597, 1911, 4513, 7155, 4470, 6377, 13491, 13521, 13493, 6812, 5390, 6377, 9800, 10503, 246, 993, 9550, 6124, 3542, 2174, 4295, 3299, 2391, 917, 1603, 4696, 3276, 32, 2237, 856, 2276, 3573, 1963, 2540, 2598, 4872, 3271, 2634, 2606, 2676, 1336, 592, 6630, 8074, 7397, 4964, 192, 1438, 704, 3289, 4417, 1614, 12692, 522, 1276, 1329, 582, 1469, 748, 3261, 4384, 613, 13023, 2634, 476, 1233, 2362, 9861, 4860, 3571, 4130, 3246, 3151, 1729, 559, 3387, 4127, 12366, 4510, 2276, 13508, 1809, 1481, 3010, 8765, 5085, 2054, 11832, 11423, 3327, 4793, 11291, 7595, 4832, 7673, 5647, 5448, 13522, 13494, 6812, 5402, 6377, 10197, 9572, 5813, 3313, 7505, 5998, 8551, 7927, 1020, 339, 3865, 940, 10362, 10032, 5204, 2775, 2716, 978, 4828, 4597, 1531, 3236, 4061, 3184, 563, 1374, 631, 2423, 1776, 3392, 1426, 688, 4572, 2925, 2506, 1454, 725, 3193, 4194, 3261, 1481, 761, 1476, 2981, 2527, 3725, 4926, 782, 355, 7333, 6735, 5551, 5407, 273, 4692, 12197, 11423, 12116, 4587, 4779, 3140, 8825, 3060, 2054, 4837, 6948, 13509, 4597, 7006, 5830, 6086, 4429, 1985, 3151, 2518, 3628, 9145, 10014, 9197, 2060, 3767, 2270, 3929, 11557, 948, 8382, 13519, 6747, 1159, 4572, 10085, 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5418, 11464, 403, 4605, 13491, 4627, 12696, 11387, 12174, 11518, 6945, 708, 4494, 12754, 13466, 10393, 11225, 12515, 10101, 9778, 71, 13504, 9592, 5178, 45, 11459, 6639, 2938, 12536, 9496, 13222, 9092, 12195, 867, 9775, 4088, 1590, 7785, 3257, 854, 12275, 12822, 6551, 2799, 8448, 11083, 9954, 7906, 12175, 2516, 6846, 1688, 184, 6254, 5547, 8348, 8609, 5849, 2351, 4146, 5699, 785, 13324, 13089, 12760, 12498, 13001, 10449, 11538, 10372, 6118, 979, 10780, 12836, 11218, 10652, 8039, 373, 9578, 8958, 12566, 3517, 10397, 2242, 9775, 11207, 6999, 8301, 10748, 8724, 4543, 10075, 10359, 6233, 8448, 785, 5256, 2469, 7092, 8445, 10841, 8299, 7749, 9250, 8459, 9923, 11118, 7196, 11050, 13528, 5384, 11160, 12739, 8853, 13461, 12454, 8682, 5417, 9647, 7496, 6883, 9365, 10980, 1133, 13320, 6543, 2871, 3997, 1570, 6110, 9294, 6981, 12928, 12243, 9491, 11008, 8719, 10493, 3648, 9775, 3162, 2806, 10381, 10786, 13012, 10079, 7963, 9056, 13160, 13461, 5630, 7678, 11013, 8555, 2821, 6864, 8676, 7355, 1989, 6980, 11051, 5138, 11302, 3029, 13525, 8529, 13280, 7520, 13507, 10882, 8506, 880, 11243, 11722, 8410, 2321, 10122, 13523, 10543, 5575, 8003, 12189, 8493, 3362, 13526, 3182, 13498, 6766, 1810, 8962, 6041, 12948, 11704, 9087, 7543, 6042, 5240, 10231, 2392, 9035, 6545, 11208, 5811, 6857, 12308, 13527, 10747, 12750, 603, 12993, 5229, 4345, 12609, 9654, 3222, 1543, 3285, 12721, 6189, 13468, 11998, 12405, 12644, 8845, 9473, 10495, 9866, 11045, 11067, 7174, 13260, 6343, 6537, 10299, 9787, 8414, 11488, 4743, 4602, 6995, 6465, 10596, 11186, 10814, 8706, 11073, 9703, 10428, 8950, 4492, 13527, 1291, 7185, 1938, 4140, 5897, 11189, 12167, 8676, 2473, 8512, 4154, 10334, 3272, 12416, 7433, 4161, 13519, 13490, 6114, 11281, 8356, 50, 8489, 6549, 5598, 7363, 1069, 8338, 6989, 13520, 12510, 2065, 12266, 7490, 11217, 11784, 2014, 8734, 3615, 5873, 13510, 9991, 12234, 8066, 11604, 13264, 6828, 13130, 10841, 4018, 3267, 1814, 3212, 12951, 3852, 8915, 158, 807, 3806, 12448, 5324, 807, 5836, 10605, 6485, 4487, 5880, 1834, 7911, 6731, 2964, 9043, 12971, 7840, 7945, 1865, 8339, 2906, 1477, 12372, 10879, 11324, 13520, 13166, 1071, 2185, 8388, 10792, 10906, 6946, 11205, 8947, 11109, 2529, 13518, 7286, 9573, 11739, 7, 12540, 11654, 3721, 1821, 8450, 6649, 4639, 7240, 11961, 8880, 9238, 2229, 13223, 10904, 7436, 7367, 8479, 11180, 10968, 2713, 2545, 5256, 6875, 3829, 10638, 6610, 9567, 10352, 2829, 12743, 6021, 13242, 800, 8700, 35, 7547, 4213, 125, 3306, 8367, 8359, 2128, 3638, 819, 3037, 6930, 8957, 2613, 11069, 12566, 5714, 12597, 1363, 11417, 6547, 589, 4965, 4813, 7440, 2699, 1215, 2238, 10058, 599, 12880, 13366, 6155, 4630, 61, 9489, 13418, 7270, 8436, 5159, 3177, 3170, 1146, 4593, 4292, 11784, 12445, 3147, 8915, 7170, 11892, 11868, 8030, 3787, 3883, 9775, 12396, 5233, 4371, 7208, 8609, 11262, 7243, 8058, 1756, 6110, 13188, 9372, 35, 5236, 9746, 7, 4345, 8896, 5539, 1477, 3045, 11852, 3756, 11316, 12567, 3799, 6094, 5743, 9848, 9090, 9767, 8369, 10967, 11949, 2713, 16, 9752, 9108, 7904, 8160, 2319, 2413, 2025, 3618, 6955, 2516, 7898, 3338, 1989, 791, 12783, 13189, 8789, 13473, 9491, 3748, 5340, 7733, 807, 9746, 1938, 3272, 1793, 4146, 1525, 4292, 3212, 3187, 3898, 8061, 7224, 7, 11072, 4262, 11888, 6318, 13160, 3883, 9202, 6664, 1465, 6633, 13522, 7141, 6547, 599, 4930, 4766, 7484, 8306, 4881, 2207, 13519, 495, 12881, 3187, 13223, 181, 11372, 12940, 5269, 2581, 3454, 1558, 12567, 3517, 6749, 4984, 2922, 11784, 2082, 12114, 9870, 9127, 1477, 11235, 9445, 13458, 7305, 6955, 11834, 13354, 6468, 5778, 6664, 834, 8949, 2069, 236, 7429, 8638, 4957, 9190, 9268, 1485, 7152, 8046, 9271, 6555, 8758, 3086, 9778, 5303, 2588, 13491, 5869, 13521, 5922, 8034, 10386, 9867, 5245, 12996, 10526, 11036, 13486, 8598, 6122, 8121, 8450, 709, 12332, 3508, 2185, 8318, 6182, 7855, 5756, 8098, 4436, 8779, 5655, 12683, 7446, 12743, 12958, 6657, 7259, 5294, 2713, 1392, 1519, 7174, 3379, 13363, 10137, 6131, 5690, 13028, 3152, 12442, 6397, 2321, 8245, 12410, 12011, 9834, 11526, 11514, 2859, 8822, 9004, 7000, 5634, 11888, 11872, 10874, 962, 2265, 10854, 10594, 13414, 9452, 841, 10913, 2265, 12258, 3641, 3916, 10694, 795, 12788, 7527, 5269, 9090, 9767, 10736, 11990, 1312, 8160, 8539, 6026, 3182, 12812, 9746, 3791, 10890, 6545, 11911, 4492, 6510, 862, 7174, 1984, 1692, 10386, 2277, 1726, 938, 11663, 4602, 4620, 6378, 6382, 9670, 1594, 4336, 5245, 415, 9496, 9106, 13334, 7265, 954, 9375, 10191, 4345, 1155, 2163, 10632, 9541, 9610, 4573, 2277, 7879, 10872, 7201, 2265, 8081, 10854, 4003, 1570, 3182, 3232, 1666, 9625, 656, 4873, 4340, 9676, 1789, 6378, 6382, 4693, 4436, 2276, 5030, 5542, 8180, 8584, 11228, 187, 5660, 7743, 11288, 6938, 7883, 7204, 6017, 8609, 6189, 4965, 1798, 3370, 1501, 4397, 5260, 13327, 11707, 10913, 10673, 7386, 2273, 3732, 3666, 1925, 3935, 2171, 1184, 3806, 2304, 142, 974, 291, 8061, 3804, 9028, 824, 5962, 8855, 2947, 1079, 2226, 7580, 3751, 6131, 193, 4927, 4756, 4492, 6510, 6896, 7342, 1232, 11781, 7588, 20, 13341, 5175, 13014, 13024, 9883, 3824, 4988, 11765, 791, 2715, 2273, 2509, 6110, 7163, 11775, 9807, 177, 12940, 3077, 10143, 4539, 8696, 2859, 12135, 12522, 2011, 5042, 11002, 13532, 5439, 11834, 2918, 11888, 11082, 4072, 6977, 11850, 3037, 10987, 11947, 13432, 4866, 7559, 12225, 4615, 11343, 12299, 8405, 6099, 12803, 3690, 8784, 8318, 7721, 5564, 2287, 5417, 5095, 9996, 4214, 3281, 3370, 8758, 9472, 9904, 11141, 10421, 12567, 7979, 1425, 6649, 5492, 13286, 841, 284, 2729, 1968, 12743, 10892, 3170, 11542, 5001, 12881, 5245, 10320, 11171, 8472, 1375, 9517, 10372, 12807, 8188, 13449, 13461, 13365, 12376, 3717, 6205, 12822, 12935, 7557, 4821, 13491, 5864, 13511, 4654, 6264, 13526, 5005, 5911, 2199, 10479, 8306, 11762, 850, 8560, 6017, 8450, 13135, 2273, 3751, 13508, 12410, 11765, 9775, 5721, 2259, 11781, 11249, 10678, 7308, 3791, 2713, 7, 11643, 8367, 12635, 12957, 12637, 3791, 5313, 11929, 1485, 5208, 4336, 3295, 2948, 10630, 9545, 9539, 4573, 9614, 8968, 6974, 4644, 5855, 5403, 10166, 3933, 2242, 10062, 11413, 8356, 8367, 12040, 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894, 11459, 12957, 6205, 6222, 3262, 13235, 1646, 11002, 13532, 5439, 6582, 6901, 10967, 8167, 10171, 9605, 10465, 7865, 8354, 13013, 12025, 6664, 10796, 10469, 9644, 10757, 3702, 8318, 6170, 7649, 4615, 5439, 13511, 13493, 4670, 11097, 5413, 10738, 9772, 10305, 11210, 504, 3037, 3379, 1750, 2863, 1291, 9779, 7414, 991, 5920, 4862, 834, 10728, 6675, 10868, 12554, 90, 105, 2410, 957, 1703, 1046, 465, 1186, 7096, 3198, 10166, 3272, 9248, 10459, 4309, 8609, 10720, 3654, 5696, 7170, 12385, 1482, 8721, 6627, 11478, 3177, 5674, 4380, 1916, 412, 7075, 2273, 8269, 12910, 5737, 9998, 2724, 5197, 9767, 7603, 12312, 1235, 2046, 11524, 3442, 13108, 1056, 3166, 13279, 12516, 8318, 8344, 13520, 5442, 8130, 3152, 7013, 6114, 7651, 11455, 6983, 8408, 9009, 12675, 3281, 10854, 12938, 3949, 2291, 3217, 8367, 8356, 12040, 10696, 12412, 11256, 3324, 10742, 4258, 209, 10925, 5225, 9582, 11483, 9553, 9676, 2291, 7479, 4327, 6007, 9375, 38, 10591, 4322, 9790, 13363, 7913, 6103, 12727, 12468, 8016, 8483, 785, 1922, 12698, 1378, 7555, 6468, 4702, 4834, 5095, 2522, 7620, 1106, 6287, 12779, 1056, 11431, 12144, 12310, 387, 9971, 9340, 10576, 9195, 11819, 12064, 6136, 2259, 976, 3177, 4109, 1586, 3242, 3207, 3152, 10900, 12391, 11100, 2712, 1501, 4397, 2385, 8077, 8612, 1666, 2595, 3429, 11293, 4015, 12743, 11998, 7174, 5985, 10301, 8325, 5750, 7816, 4213, 12198, 10630, 4077, 5439, 6357, 1869, 11663, 11672, 3136, 6821, 7185, 8232, 5794, 957, 13284, 9752, 9491, 1609, 3315, 2893, 3207, 1485, 4315, 2877, 3227, 6618, 1566, 4024, 11713, 16, 2404, 1046, 6756, 2277, 5524, 181, 4492, 6272, 6867, 3232, 1659, 12030, 13181, 13194, 9737, 5727, 13205, 12817, 13379, 6823, 6258, 11888, 12046, 6087, 13003, 9711, 13191, 791, 9481, 3748, 5181, 13205, 11488, 11498, 10348, 12599, 1850, 6378, 3333, 1025, 4255, 90, 3257, 4006, 3222, 1715, 11765, 12405, 922, 6834, 1854, 11781, 8726, 5794, 7663, 5308, 13526, 5005, 5911, 7481, 1194, 10967, 1525, 9479, 8199, 4376, 13372, 8941, 8607, 7736, 7894, 7373, 1972, 854, 5850, 3876, 11002, 12729, 6955, 3272, 9912, 13450, 11784, 6989, 9385, 5801, 13511, 13493, 10141, 2464, 2729, 9670, 10263, 9243, 10748, 11291, 9746, 6852, 4350, 2273, 10916, 3600, 7112, 4780, 6710, 1505, 7990, 13007, 9077, 5928, 5466, 11834, 3756, 5340, 13452, 253, 10951, 11285, 289, 4803, 8255, 13461, 5321, 3783, 10028, 4427, 8566, 834, 2218, 2713, 8176, 9090, 8897, 5801, 13402, 2251, 8584, 7837, 7153, 5164, 8912, 9035, 4416, 4607, 4620, 6378, 7150, 10824, 5181, 6585, 3795, 5750, 12760, 6629, 5303, 13363, 5220, 5770, 10742, 2474, 11781, 11765, 8230, 9998, 3368, 5798, 6912, 13513, 13496, 1609, 5384, 12385, 4980, 1189, 7325, 6610, 6403, 6378, 4568, 4654, 1811, 4492, 6275, 3920, 5424, 13508, 8306, 11036, 13363, 7196, 12729, 10175, 9837, 11576, 11040, 9169, 8061, 7858, 13432, 11847, 13030, 10878, 9699, 6273, 9353, 7054, 11888, 7335, 9144, 10950, 2265, 6205, 2686, 9416, 3636, 4644, 13511, 13523, 6810, 9513, 10530, 10925, 45, 4223, 1740, 3182, 13372, 11635, 3600, 13186, 4258, 3531, 11520, 1101, 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3198, 3182, 4060, 1731, 7130, 12520, 2366, 1550, 13473, 12023, 13172, 10084, 6122, 11133, 2406, 8696, 6329, 10143, 4459, 3751, 3921, 12621, 850, 12019, 13363, 5791, 6366, 3684, 4259, 7613, 1101, 11739, 3528, 6110, 8666, 9722, 11019, 3527, 7257, 13450, 12809, 9733, 11691, 11260, 12457, 12458, 219, 10365, 11986, 3418, 6140, 6672, 5649, 256, 518, 1312, 3285, 2999, 4935, 12393, 6094, 11967, 12075, 11040, 716, 1457, 4505, 13491, 5365, 1477, 12011, 5152, 7212, 4431, 6613, 7616, 12364, 11364, 12554, 7980, 12062, 9537, 13256, 10436, 9746, 2715, 5060, 9812, 974, 9670, 1493, 2294, 11695, 4315, 4439, 10141, 7022, 6603, 1482, 13320, 2265, 6210, 6831, 8209, 11708, 933, 3048, 4688, 12557, 13303, 12933, 9433, 3, 10493, 3849, 5489, 4735, 5882, 4607, 7429, 12035, 5229, 10062, 11784, 10878, 9275, 2298, 2185, 9951, 3815, 1321, 2274, 1770, 3357, 3166, 11730, 4380, 2161, 2639, 8427, 11152, 5788, 7298, 10847, 8405, 6099, 13477, 11715, 2656, 8560, 1780, 13509, 4789, 772, 791, 3981, 511, 3212, 3272, 9016, 7627, 10794, 3791, 7034, 2474, 8537, 2862, 8895, 5519, 7185, 10155, 11682, 5188, 1136, 8915, 2336, 2864, 6840, 13508, 11765, 11127, 10416, 11965, 2903, 834, 1656, 3281, 4620, 3969, 6309, 13520, 3232, 5395, 4383, 9006, 2602, 5082, 12654, 9674, 8232, 2196, 8803, 4427, 723, 8776, 10128, 8797, 2242, 5784, 3166, 5362, 6819, 5823, 8195, 10821, 10826, 9477, 5317, 3791, 10134, 13529, 8526, 6654, 12581, 6912, 13174, 7875, 8317, 11854, 7865, 12040, 3545, 5903, 13305, 5984, 4180, 6341, 260, 3285, 9655, 1482, 9435, 5963, 10419, 12574, 12364, 3182, 4410, 13426, 8826, 3651, 5980, 7627, 12779, 9375, 5167, 9854, 6337, 12097, 6013, 7600, 8547, 8893, 3677, 13461, 5192, 11171, 2577, 10567, 7884, 5794, 9887, 3, 13248, 13040, 12677, 1906, 11493, 3342, 13055, 13043, 6682, 6686, 11479, 5578, 10742, 785, 10190, 2251, 9004, 2259, 544, 13083, 10095, 11663, 8301, 11645, 3252, 4140, 2406, 13072, 7533, 1111, 5254, 8566, 9073, 10125, 6595, 5743, 7959, 7972, 11828, 7153, 7643, 8016, 4072, 4062, 7634, 5148, 10336, 8592, 9764, 9070, 10716, 10724, 3222, 3227, 3906, 1546, 8822, 2926, 8839, 7150, 8340, 10309, 11346, 12701, 2785, 12964, 18, 9598, 10474, 11164, 8076, 12083, 12596, 3740, 2775, 10460, 21, 3590, 2232, 10260, 788, 7807, 5420, 5474, 643, 13520, 8713, 5286, 12519, 185, 6360, 8446, 12980, 10309, 13393, 10462, 1534, 7256, 21, 8366, 7011, 13185, 3080, 11583, 10715, 2653, 6619, 13518, 7431, 10439, 10294, 9115, 10392, 2841, 11103, 9590, 12846, 10997, 9649, 11761, 2078, 8610, 10739, 5695, 8587, 872, 7897, 11162, 1988, 11000, 12608, 6677, 6095, 2757, 4131, 7920, 7810, 11562, 10727, 2811, 788, 12104, 9623, 11280, 10204, 18, 9527, 5741, 8522, 8460, 1333, 6990, 8882, 5286, 7974, 3492, 12728, 6043, 5224, 7563, 12936, 9085, 7188, 18, 6687, 5969, 12233, 10726, 9950, 4833, 11927, 7849, 12612, 3540, 9071, 13508, 11238, 10744, 11131, 9698, 5207, 5290, 2246, 5124, 13378, 2890, 1554, 10829, 12086, 4736, 7802, 9125, 3502, 5040, 4386, 7512, 8446, 805, 9518, 2038, 4825, 9718, 10703, 1414, 5633, 7205, 3602, 3844, 6738, 881, 8492, 6847, 5341, 7754, 13119, 868, 10113, 10921, 1120, 9574, 8520, 5701, 6886, 8496, 7646, 8141, 12986, 9518, 7015, 10131, 13177, 4574, 5372, 11258, 7343, 10533, 11175, 10244, 9465, 7389, 5104, 13523, 9859, 6866, 8185, 12367, 8173, 5286, 11229, 12111, 2501, 8611, 10762, 9322, 10481, 12154, 10700, 11898, 13258, 10978, 5960, 6061, 8335, 7908, 2355, 6214, 13395, 9053, 11021, 10399, 8745, 2781, 12274, 11534, 9937, 11320, 12017, 12889, 8994, 5337, 8374, 10080, 7178, 513, 1120, 5169, 3093, 2384, 8120, 11250, 13508, 3642, 11628, 10216, 3924, 9762, 9498, 2697, 2653, 10758, 8402, 6688, 1478, 12502, 10200, 9402, 10092, 9498, 13234, 2371, 11434, 10392, 6134, 4904, 11258, 8931, 7812, 13503, 10753, 4997, 8664, 11550, 12334, 4475, 5359, 8890, 12989, 12127, 13252, 12652, 6450, 10240, 11895, 12273, 6090, 9612, 9104, 11701, 10097, 793, 13222, 5691, 13155, 13051, 6342, 323, 1538, 4152, 3336, 1800, 3243, 13086, 9104, 8878, 10385, 13267, 2482, 9539, 10208, 805, 6973, 10574, 6187, 6179, 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10239, 10225, 12615, 11495, 5074, 963, 12613, 2241, 8052, 9391, 7614, 3870, 12789, 7023, 2256, 13224, 793, 2111, 3546, 5659, 7625, 13527, 13512, 10385, 6609, 9464, 13424, 7258, 5337, 11726, 9501, 13131, 9849, 9107, 689, 5783, 7226, 3019, 8673, 12413, 10988, 12936, 11963, 3409, 6850, 4884, 4361, 1307, 1872, 3397, 11015, 10304, 7154, 1191, 9413, 10705, 6602, 9721, 1905, 7428, 1637, 11994, 7183, 8685, 12411, 8786, 8788, 6256, 13110, 4131, 8353, 8349, 8573, 788, 12883, 10958, 2767, 1019, 370, 444, 63, 1710, 5995, 2397, 6376, 3087, 79, 7186, 1819, 8083, 12848, 5140, 7941, 7183, 28, 6088, 8839, 10825, 3669, 9843, 3125, 12797, 950, 8657, 7818, 8610, 9813, 5274, 12032, 3664, 8425, 7617, 12034, 4689, 556, 13463, 7274, 944, 5239, 104, 809, 8451, 12778, 7463, 11997, 8294, 8614, 3183, 4776, 6388, 6134, 10392, 13497, 10649, 11962, 8675, 9688, 7158, 3194, 2714, 13523, 6861, 5496, 5915, 7699, 8096, 3821, 1002, 10106, 5202, 8023, 12394, 11831, 10891, 3449, 4424, 13101, 11703, 7412, 9121, 8353, 13373, 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12670, 1470, 6969, 5862, 13492, 207, 5921, 13184, 846, 12474, 7099, 2241, 1956, 3348, 4321, 556, 3258, 6066, 3660, 6643, 9001, 998, 2158, 767, 10084, 3520, 7178, 6088, 9095, 2170, 12919, 1322, 7932, 7920, 8478, 5992, 886, 468, 3926, 4671, 6358, 4833, 7365, 12573, 3268, 677, 5820, 8516, 1755, 7236, 8076, 13107, 5299, 10165, 4405, 7424, 600, 13367, 7164, 6216, 11881, 5757, 10988, 11770, 3774, 12242, 8528, 12909, 12911, 8022, 8801, 8189, 1912, 11952, 5567, 3451, 4263, 9388, 11242, 2264, 9449, 12483, 12724, 11241, 4594, 11545, 2521, 12991, 10165, 2250, 13046, 5333, 4524, 10076, 7835, 8327, 4391, 6925, 13501, 10383, 8057, 11560, 6652, 5337, 7485, 8759, 12926, 5472, 10746, 11231, 8640, 3052, 12909, 13373, 4103, 11740, 3273, 7074, 9512, 10344, 2264, 10414, 7738, 7741, 4679, 5481, 491, 7088, 2214, 4370, 1333, 13198, 7125, 3061, 8040, 12584, 10853, 7074, 7082, 9623, 11744, 8524, 11162, 8546, 9523, 3264, 10836, 6151, 758, 2897, 1461, 10514, 1219, 10102, 8809, 6624, 4833, 8821, 11170, 10855, 10559, 767, 3848, 9521, 2264, 6179, 5088, 11150, 2049, 11153, 75, 7175, 5108, 5101, 11064, 9538, 7421, 6838, 3132, 5202, 12413, 3790, 3513, 4156, 1992, 588, 3229, 8446, 12960, 2424, 1976, 5018, 3087, 3696, 3083, 2246, 4229, 4034, 4056, 4799, 7040, 3576, 677, 12576, 6706, 13351, 6511, 6232, 10120, 12947, 4471, 9078, 8386, 8390, 7639, 7590, 4366, 7365, 12145, 8699, 4709, 4944, 5958, 1484, 8064, 11829, 8698, 9501, 8117, 9909, 7134, 11148, 12103, 3790, 6475, 4321, 786, 10735, 10145, 3808, 4960, 9580, 9109, 8, 6148, 9720, 11563, 13316, 10583, 12998, 1502, 501, 3859, 3777, 1391, 6638, 11711, 12616, 926, 10450, 4374, 9389, 1494, 10876, 6243, 10887, 11472, 7499, 7512, 915, 5658, 1559, 1487, 1448, 6048, 7340, 4664, 6446, 3812, 3572, 2261, 12463, 7552, 4762, 391, 4635, 13508, 10843, 6363, 13423, 12384, 3224, 12399, 6631, 6600, 5463, 5546, 9469, 12797, 10986, 8407, 809, 6201, 6195, 10744, 3774, 11791, 5585, 6088, 4366, 3605, 2126, 7614, 12703, 2261, 12039, 13087, 10962, 7442, 10622, 12568, 12382, 2334, 1897, 863, 3924, 3344, 963, 13508, 4799, 7296, 570, 9796, 13073, 8305, 2206, 183, 5014, 3798, 2256, 7104, 788, 2525, 1448, 707, 1538, 3264}; + unsigned int BorderCounts[45] = {772, 711, 791, 439, 433, 651, 640, 904, 462, 320, 506, 310, 214, 473, 260, 177, 254, 148, 145, 228, 170, 118, 413, 240, 366, 254, 214, 135, 154, 136, 144, 109, 501, 250, 345, 205, 213, 150, 157, 110, 156, 112, 17, 11, 17}; + float Borders[13535] = {0.201667383f, 0.201735571f, 0.201788604f, 0.201813966f, 0.203455597f, 0.203459546f, 0.203460008f, 0.203611538f, 0.205155343f, 0.205269948f, 0.20529905f, 0.205373943f, 0.206914186f, 0.206959039f, 0.20711118f, 0.207128674f, 0.207153499f, 0.208760843f, 0.210547358f, 0.210638016f, 0.210847154f, 0.212340295f, 0.212419063f, 0.212521002f, 0.212630168f, 0.214143574f, 0.21429126f, 0.214373022f, 0.215923205f, 0.216031671f, 0.21617794f, 0.21638f, 0.217615634f, 0.217658818f, 0.217845485f, 0.21813032f, 0.218199253f, 0.219609663f, 0.22002928f, 0.221470177f, 0.221992284f, 0.221997678f, 0.223188549f, 0.223819345f, 0.225422829f, 0.225794911f, 0.2258026f, 0.226872742f, 0.227265388f, 0.227671459f, 0.227727979f, 0.229545295f, 0.229690209f, 0.230743051f, 0.230963975f, 0.231421828f, 0.231560588f, 0.232685104f, 0.23280549f, 0.233037502f, 0.233335137f, 0.233505666f, 0.234677464f, 0.234706074f, 0.235063344f, 0.235354319f, 0.2354725f, 0.236723989f, 0.236741245f, 0.237084046f, 0.237296373f, 0.237477213f, 0.23910749f, 0.239219487f, 0.24066247f, 0.242649332f, 0.242702767f, 0.24308683f, 0.243332595f, 0.24472335f, 0.245347738f, 0.247063026f, 0.24743928f, 0.248983383f, 0.250991285f, 0.251013458f, 0.251565456f, 0.253003061f, 0.253027469f, 0.253068477f, 0.253288031f, 0.253608346f, 0.255042344f, 0.255141497f, 0.255749017f, 0.25713557f, 0.25715059f, 0.25723666f, 0.257454813f, 0.259286106f, 0.259383231f, 0.261326998f, 0.26331681f, 0.26355353f, 0.263642848f, 0.263715595f, 0.265394092f, 0.265714407f, 0.26578325f, 0.266538113f, 0.267525315f, 0.267695725f, 0.269650102f, 0.269705236f, 0.269860119f, 0.27010119f, 0.270753026f, 0.271733761f, 0.272224188f, 0.273965895f, 0.27435267f, 0.27439791f, 0.275048494f, 0.276106268f, 0.276159763f, 0.276414692f, 0.278314888f, 0.278422356f, 0.278568685f, 0.27888763f, 0.280569643f, 0.280703664f, 0.281699121f, 0.282909602f, 0.283291638f, 0.285072565f, 0.285102606f, 0.286195695f, 0.287233472f, 0.287548184f, 0.288409919f, 0.289248616f, 0.289534241f, 0.290568948f, 0.291553259f, 0.291594565f, 0.291924626f, 0.291978508f, 0.292802572f, 0.293953061f, 0.294252694f, 0.294263929f, 0.29491064f, 0.296112686f, 0.29623127f, 0.297103941f, 0.298946738f, 0.300863713f, 0.301354051f, 0.301607311f, 0.303082734f, 0.303708553f, 0.303860962f, 0.305333376f, 0.305422574f, 0.305549443f, 0.30620411f, 0.306243807f, 0.307831943f, 0.308540761f, 0.309769392f, 0.310180843f, 0.310628682f, 0.312100559f, 0.312628329f, 0.314461946f, 0.316704631f, 0.317654312f, 0.319064319f, 0.319415569f, 0.319668829f, 0.320123076f, 0.321356714f, 0.321832269f, 0.322461665f, 0.324156791f, 0.32474643f, 0.324861526f, 0.327122211f, 0.327304721f, 0.329782248f, 0.331110656f, 0.332151979f, 0.332260936f, 0.332826853f, 0.334011555f, 0.334612459f, 0.334792972f, 0.336106032f, 0.336480856f, 0.337388396f, 0.337799191f, 0.3397291f, 0.34123835f, 0.345025331f, 0.345309675f, 0.346400261f, 0.346630067f, 0.347542346f, 0.347647667f, 0.347851336f, 0.350169659f, 0.350173771f, 0.351564705f, 0.352666557f, 0.352709591f, 0.353027701f, 0.356814981f, 0.357449174f, 0.358067483f, 0.358161449f, 0.359416544f, 0.360236704f, 0.360669822f, 0.362156689f, 0.362940639f, 0.363715321f, 0.364935547f, 0.365904808f, 0.367475986f, 0.368350685f, 0.368816674f, 0.369085073f, 0.37027508f, 0.371305943f, 0.371599376f, 0.371929348f, 0.374426782f, 0.37463963f, 0.374823302f, 0.37704125f, 0.377059519f, 0.377799094f, 0.379164457f, 0.380054891f, 0.382718205f, 0.382783055f, 0.385676891f, 0.385990858f, 0.386444747f, 0.387753546f, 0.388605952f, 0.38894853f, 0.389342815f, 0.390609682f, 0.391562104f, 0.392140508f, 0.393467605f, 0.394526482f, 0.394967824f, 0.395080864f, 0.397584975f, 0.39812538f, 0.399708211f, 0.400577486f, 0.401189566f, 0.402616918f, 0.403558075f, 0.405504018f, 0.406644404f, 0.407052875f, 0.40733701f, 0.408461452f, 0.409645498f, 0.411705196f, 0.412860036f, 0.413479745f, 0.41489923f, 0.415973902f, 0.41611582f, 0.416492999f, 0.416567653f, 0.418013155f, 0.419198155f, 0.419764578f, 0.421265543f, 0.422294259f, 0.422397971f, 0.423032105f, 0.42303881f, 0.425347507f, 0.426187962f, 0.427664787f, 0.428478897f, 0.428802907f, 0.431529045f, 0.432588279f, 0.434762955f, 0.435154945f, 0.435705662f, 0.438244283f, 0.438963354f, 0.440579712f, 0.441482455f, 0.442254961f, 0.443925858f, 0.444801152f, 0.445036143f, 0.445306182f, 0.445531189f, 0.448084474f, 0.448183f, 0.448559284f, 0.450326025f, 0.453638494f, 0.454748362f, 0.455107242f, 0.458420664f, 0.46018666f, 0.461751372f, 0.461859763f, 0.463608503f, 0.464880764f, 0.46526283f, 0.46529907f, 0.467015684f, 0.468095601f, 0.468528956f, 0.471418202f, 0.473960668f, 0.474641144f, 0.475460589f, 0.475664198f, 0.477889061f, 0.47896421f, 0.480890393f, 0.481135875f, 0.482252538f, 0.48303026f, 0.484536856f, 0.485798955f, 0.486613274f, 0.487897277f, 0.487963498f, 0.4891828f, 0.490000486f, 0.491467655f, 0.491508126f, 0.492677689f, 0.492714912f, 0.493647754f, 0.49491331f, 0.496238112f, 0.496339947f, 0.498390168f, 0.49875313f, 0.499628723f, 0.499852479f, 0.502251923f, 0.503097653f, 0.504395008f, 0.505246699f, 0.506015837f, 0.506462097f, 0.509686232f, 0.513337493f, 0.513978124f, 0.51683867f, 0.520460486f, 0.52161622f, 0.522134304f, 0.52297318f, 0.527494073f, 0.530848742f, 0.53178668f, 0.532821119f, 0.533207417f, 0.534913182f, 0.535658062f, 0.53675139f, 0.539804816f, 0.540646672f, 0.545147836f, 0.546430826f, 0.547305703f, 0.547807038f, 0.549018979f, 0.550662875f, 0.551878691f, 0.552951872f, 0.55570209f, 0.557305932f, 0.558959126f, 0.560194135f, 0.560301483f, 0.561105967f, 0.561300516f, 0.56448102f, 0.564514041f, 0.565600276f, 0.565780163f, 0.572998345f, 0.573600531f, 0.574044049f, 0.577464402f, 0.577604532f, 0.578442454f, 0.582079649f, 0.582130313f, 0.585197449f, 0.586744487f, 0.586761177f, 0.589969993f, 0.591196477f, 0.592388868f, 0.59458518f, 0.596012831f, 0.59695673f, 0.600924432f, 0.604433358f, 0.605564773f, 0.605908751f, 0.606408358f, 0.606559634f, 0.610693693f, 0.610931933f, 0.611011922f, 0.611066878f, 0.614628375f, 0.615470886f, 0.615843415f, 0.615982533f, 0.616178036f, 0.620344758f, 0.620690763f, 0.62602824f, 0.626076102f, 0.626240253f, 0.631205797f, 0.631319642f, 0.635752678f, 0.636316776f, 0.640501022f, 0.641549647f, 0.641811609f, 0.645655215f, 0.645984411f, 0.646844745f, 0.647015214f, 0.651027679f, 0.651204109f, 0.652222872f, 0.652432799f, 0.652584314f, 0.656725228f, 0.657842159f, 0.65795517f, 0.658058763f, 0.661655188f, 0.662303627f, 0.663357019f, 0.66688931f, 0.667694449f, 0.669155002f, 0.669294477f, 0.672460675f, 0.673062503f, 0.674929321f, 0.674938083f, 0.677663684f, 0.678895712f, 0.680491447f, 0.680679023f, 0.683359146f, 0.684814453f, 0.686460376f, 0.692154586f, 0.692379355f, 0.704161942f, 0.704498231f, 0.710093975f, 0.71064806f, 0.716388345f, 0.717313766f, 0.717460334f, 0.719660401f, 0.723184228f, 0.723702908f, 0.727423847f, 0.728806973f, 0.72941196f, 0.730055809f, 0.732198834f, 0.735103369f, 0.735533714f, 0.738078713f, 0.741660714f, 0.742324829f, 0.744451761f, 0.748533666f, 0.749318004f, 0.749338269f, 0.75493598f, 0.756155729f, 0.757918239f, 0.761752367f, 0.762786508f, 0.763046741f, 0.767971754f, 0.768647909f, 0.770047665f, 0.771611094f, 0.775367498f, 0.776754141f, 0.777128339f, 0.782137394f, 0.782688498f, 0.789897501f, 0.792882681f, 0.796037316f, 0.797032893f, 0.803059459f, 0.804325223f, 0.806122601f, 0.811960936f, 0.813462019f, 0.817779899f, 0.821173429f, 0.821226597f, 0.827251554f, 0.828839898f, 0.832303047f, 0.835323811f, 0.836954117f, 0.837661386f, 0.843377471f, 0.844695449f, 0.84547472f, 0.851919532f, 0.86032331f, 0.861863613f, 0.864035606f, 0.868548214f, 0.870369673f, 0.871255338f, 0.871771812f, 0.878788471f, 0.88009727f, 0.885013163f, 0.887464404f, 0.893436372f, 0.895712078f, 0.895753324f, 0.896312773f, 0.898407996f, 0.902059197f, 0.903959394f, 0.904583693f, 0.906863809f, 0.910814941f, 0.912541986f, 0.922845662f, 0.925233126f, 0.928597689f, 0.931362391f, 0.931775391f, 0.938064933f, 0.940817535f, 0.944309592f, 0.948127747f, 0.950319171f, 0.952056229f, 0.953968227f, 0.961023569f, 0.964282393f, 0.967463732f, 0.970695674f, 0.9712075f, 0.974065185f, 0.977426291f, 0.984408617f, 0.988094568f, 0.999218702f, 1.00241399f, 1.00267601f, 1.00554824f, 1.01372099f, 1.01672435f, 1.02370524f, 1.02431297f, 1.02467f, 1.02781487f, 1.03109121f, 1.03568029f, 1.03878939f, 1.04170525f, 1.04657984f, 1.04754925f, 1.05327845f, 1.05825543f, 1.07031322f, 1.07468545f, 1.08202171f, 1.08210278f, 1.08887243f, 1.09374499f, 1.09445906f, 1.10005748f, 1.10239887f, 1.10596228f, 1.10646772f, 1.10773849f, 1.11528862f, 1.12909973f, 1.13292146f, 1.13833547f, 1.1433084f, 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0.127069801f, 0.129195556f, 0.130122662f, 0.131002158f, 0.132123411f, 0.134370238f, 0.136601686f, 0.139443591f, 0.142148495f, 0.14279893f, 0.144275308f, 0.1452218f, 0.145445794f, 0.145626098f, 0.147973061f, 0.152352571f, 0.155037776f, 0.163323894f, 0.166675955f, 0.167865366f, 0.168937415f, 0.170065731f, 0.172529012f, 0.174313337f, 0.176281691f, 0.178377956f, 0.178843811f, 0.180385888f, 0.184520379f, 0.187829614f, 0.189018577f, 0.194082767f, 0.194339901f, 0.195431635f, 0.205612451f, 0.206902921f, 0.212085992f, 0.214452118f, 0.220121548f, 0.221281946f, 0.228109688f, 0.228577226f, 0.229482263f, 0.237039804f, 0.238574579f, 0.238799691f, 0.248497054f, 0.250187337f, 0.262670755f, 0.26405251f, 0.265632033f, 0.279460251f, 0.283908069f, 0.284950286f, 0.308236599f, 0.30922389f, 0.310352862f, 0.348566473f, 0.349741787f, 0.00864758436f, 0.00888352655f, 0.00998337287f, 0.0101893609f, 0.0105605219f, 0.0113189388f, 0.0122871427f, 0.0137073752f, 0.014367979f, 0.0147070438f, 0.0152673023f, 0.0178318098f, 0.0198758766f, 0.0205273703f, 0.0221381001f, 0.0222474188f, 0.0222779103f, 0.0225971378f, 0.0233404078f, 0.0251986459f, 0.0254376028f, 0.0261604339f, 0.0285670664f, 0.028681688f, 0.0287193563f, 0.0287229642f, 0.0296311025f, 0.0318117365f, 0.0323430449f, 0.0326310024f, 0.033938393f, 0.0369505733f, 0.0422042347f, 0.0422213897f, 0.047754705f, 0.0478977337f, 0.0485158935f, 0.0499588624f, 0.0500558838f, 0.0517299473f, 0.0519645102f, 0.0521307997f, 0.0521992296f, 0.052887477f, 0.0533635914f, 0.055925034f, 0.0564110875f, 0.057369411f, 0.0578799918f, 0.0596394017f, 0.0603800341f, 0.060416311f, 0.0605372712f, 0.0610398874f, 0.0630216002f, 0.0631582737f, 0.0631906241f, 0.0652818307f, 0.0709130988f, 0.0724422783f, 0.0727988183f, 0.0775765404f, 0.0782778561f, 0.078930743f, 0.0789579898f, 0.0796363503f, 0.0832641944f, 0.0845394731f, 0.0874172002f, 0.0879630148f, 0.0883247182f, 0.0919023305f, 0.0940203667f, 0.0943301171f, 0.0957384706f, 0.0959448963f, 0.0968784019f, 0.0981891304f, 0.10112001f, 0.101458371f, 0.102514103f, 0.102971762f, 0.103458285f, 0.104449034f, 0.10656096f, 0.10661649f, 0.106650941f, 0.107931092f, 0.111632988f, 0.112460479f, 0.11727114f, 0.119423814f, 0.12082845f, 0.127152532f, 0.128128052f, 0.128794283f, 0.131431341f, 0.131613284f, 0.132898062f, 0.133379012f, 0.13476257f, 0.1351818f, 0.135730967f, 0.136890143f, 0.137342781f, 0.140181512f, 0.142107725f, 0.143055379f, 0.145576611f, 0.147474036f, 0.14811632f, 0.149646491f, 0.150588274f, 0.152470618f, 0.153107852f, 0.155941486f, 0.162389874f, 0.16514039f, 0.168748334f, 0.169550031f, 0.173416525f, 0.173629701f, 0.174711272f, 0.177786648f, 0.179384232f, 0.183354899f, 0.190620095f, 0.193316877f, 0.193498105f, 0.198865265f, 0.206229597f, 0.210455775f, 0.213904798f, 0.223005533f, 0.230890781f, 0.233098999f, 0.240527958f, 0.242149189f, 0.246774182f, 0.257586151f, 0.259435236f, 0.263098776f, 0.282036424f, 0.284928739f, 0.286237329f, 0.31556949f, 0.319261968f, 0.319789529f, 0.322074205f, 0.324754238f, 0.0253917333f, 0.373531878f, 0.374504447f, 0.375092298f, 0.376064479f, 1.14137089f, 1.4743588f, 2.05134535f, 2.16719055f, 2.38485551f, 2.89531994f, 3.12797499f, 3.84767008f, 3.85512781f, 4.16120195f, 4.18452358f, 4.84537792f, 5.24745178f, 5.42180443f, 5.42836475f, 5.4365387f, 5.4896512f, 5.76989651f, 5.80789185f, 5.88195324f, 5.91538239f, 6.02039528f, 6.17997456f, 6.28902626f, 6.30305338f, 6.33285999f, 6.33815193f, 6.34190941f, 6.35683823f, 6.36297655f, 6.37713337f, 6.37775707f, 6.37970543f, 6.38132191f, 6.38812828f, 6.60415792f, 6.94900894f, 7.59693241f, 8.3328476f, 8.53337383f, 8.76940918f, 8.90808487f, 9.54444885f, 10.7482109f, 11.3376369f, 11.426754f, 12.3673401f, 13.0462341f, 14.0536222f, 14.2125187f, 14.370491f, 14.5279312f, 14.8523693f, 15.0089626f, 15.4302425f, 15.5838299f, 15.8830757f, 16.0050545f, 16.0378761f, 16.4249649f, 16.7144222f, 18.6390247f, 18.6994743f, 19.4981804f, 19.5023937f, 19.6967545f, 19.7616615f, 20.1160927f, 20.5729427f, 20.873703f, 21.1591721f, 21.8667831f, 22.1664162f, 22.3940697f, 22.7350273f, 23.1169815f, 23.7534904f, 24.0522957f, 24.1878319f, 24.4141617f, 24.5901871f, 24.6253414f, 24.6339722f, 24.6591015f, 24.7167854f, 24.7762527f, 24.8321896f, 24.9094315f, 24.9395599f, 25.0220528f, 25.0678177f, 25.1330624f, 25.2140274f, 25.2167549f, 25.4199715f, 25.4549732f, 25.4756069f, 25.5018253f, 25.5199852f, 25.5489044f, 25.5519943f, 25.6321316f, 25.9183273f, 26.6833649f, 27.3989887f, 27.6363754f, 28.1947746f, 30.3353043f, 30.3526745f, 30.557476f, 32.419632f, 32.6200409f, 32.6835709f, 37.4287262f, 37.7219772f, 41.531189f, 43.9125366f, 45.6616135f, 46.2318382f, 47.4974594f, 49.4898224f, 49.5512581f, 50.2648697f, 52.8292007f, 54.4861069f, 56.8572998f, 57.0364304f, 59.8739014f, 60.7342033f, 61.6010818f, 61.7845383f, 62.2294769f, 63.2093849f, 63.9115067f, 64.0527191f, 66.261467f, 67.5894699f, 71.7205658f, 78.1621704f, 78.3038177f, 82.8070679f, 83.6761169f, 88.2709808f, 90.1942215f, 97.1563263f, 98.2504578f, 105.560745f, 108.311485f, 110.052628f, 121.850906f, 128.273224f, 128.558411f, 0.374114156f, 0.375659347f, 0.37931785f, 0.760453224f, 2.29057407f, 2.58820963f, 3.30411768f, 3.57576704f, 3.93727612f, 4.3758955f, 5.0899334f, 5.14516163f, 5.22029686f, 5.24274063f, 5.39231968f, 5.89648819f, 5.90376186f, 6.00111151f, 6.1504879f, 6.2797699f, 6.29399204f, 6.32538366f, 6.33363438f, 6.34397316f, 6.37560081f, 6.38068533f, 10.0795012f, 10.8121147f, 12.7840881f, 13.2967396f, 14.4854794f, 15.1538572f, 16.1169128f, 16.1282959f, 16.2607231f, 16.5807533f, 16.7676926f, 17.3553391f, 17.3917274f, 17.4080524f, 17.4972057f, 17.6745911f, 18.3482094f, 19.4438324f, 19.6980495f, 20.0824471f, 20.362606f, 20.8311939f, 21.2896347f, 21.3737125f, 21.6567307f, 21.8025856f, 22.5557709f, 23.1957436f, 23.3515472f, 23.7290516f, 23.7838764f, 23.9333782f, 24.2760372f, 24.5614166f, 25.048687f, 25.101387f, 25.2524948f, 25.2584686f, 25.387928f, 25.5321846f, 25.5411129f, 25.5506859f, 25.5525284f, 26.8798866f, 26.9480286f, 28.5994492f, 28.7627792f, 29.4102554f, 29.9175262f, 32.926033f, 39.0951538f, 50.4360771f, 51.0585632f, 51.362175f, 51.5898514f, 51.686264f, 53.5266571f, 53.8924332f, 55.4885941f, 56.3364639f, 56.7511635f, 60.0952263f, 60.4927979f, 62.6913719f, 62.8840637f, 63.7753143f, 65.0681763f, 66.7286835f, 68.1768646f, 68.236969f, 70.1177216f, 71.8683624f, 73.9006348f, 74.6070786f, 83.5661774f, 84.375473f, 94.7937317f, 102.97364f, 105.028961f, 113.37883f, 115.500298f, 136.193909f, 138.278809f, 140.94696f, 0.0233153012f, 0.374956608f, 0.375686049f, 0.37640512f, 1.14520442f, 1.50108564f, 1.8664813f, 2.32406259f, 3.37745929f, 3.49665594f, 4.03878593f, 4.28444862f, 4.91254234f, 5.15935898f, 5.23082066f, 5.43436337f, 5.46064186f, 5.53527164f, 5.61820602f, 5.66670656f, 5.7108717f, 5.71493387f, 5.98578072f, 6.01891375f, 6.12209749f, 6.14110899f, 6.17842579f, 6.46274137f, 6.59240484f, 6.76684856f, 6.81088734f, 6.8550024f, 7.02377129f, 7.03266811f, 7.15402222f, 7.19331455f, 7.21982479f, 7.30713081f, 7.31908417f, 7.39354992f, 7.52371693f, 7.53199863f, 7.56185484f, 7.59350491f, 7.60398626f, 7.60736465f, 7.62939358f, 7.65813255f, 7.66514397f, 7.66866398f, 7.68849277f, 7.69347048f, 7.694314f, 7.69521141f, 7.69558048f, 7.69595003f, 7.69666624f, 7.69770241f, 7.97604275f, 8.61259556f, 9.36591434f, 9.60328674f, 9.63522625f, 11.0367489f, 11.7589598f, 11.9393101f, 12.7374125f, 12.8975515f, 13.0725574f, 13.384594f, 14.417676f, 14.4622917f, 14.6799049f, 14.7628727f, 14.895628f, 15.0352249f, 16.0263901f, 16.2507057f, 16.6862965f, 16.741539f, 16.7960358f, 16.9418831f, 17.0959587f, 17.1885109f, 17.6643982f, 17.7705765f, 17.8264694f, 18.0785942f, 18.4472027f, 18.7186775f, 19.0324821f, 19.1128025f, 19.405468f, 19.7303944f, 20.340456f, 20.3656998f, 20.5431976f, 20.7052689f, 21.1486168f, 21.3059235f, 21.7146816f, 21.939991f, 21.9776249f, 22.494297f, 22.8104858f, 22.9041519f, 22.9313965f, 23.4746933f, 23.981617f, 24.9628277f, 25.4762726f, 25.6088085f, 26.5658264f, 26.6740685f, 27.0213737f, 27.1887264f, 27.2628403f, 27.271225f, 28.3158607f, 28.3815556f, 28.6733513f, 29.6528149f, 29.6778412f, 29.8134308f, 29.8854427f, 29.9123001f, 30.1344109f, 30.1806316f, 30.3572159f, 30.7448349f, 30.7464447f, 32.1166306f, 32.3012238f, 32.80196f, 32.9476013f, 33.2075653f, 33.7958908f, 35.3555832f, 36.4037781f, 36.6217346f, 46.8507233f, 47.9678879f, 50.2174759f, 50.8020554f, 54.4344673f, 57.861557f, 65.1667175f, 65.8782883f, 66.0178986f, 73.5581741f, 75.1725082f, 75.3755493f, 76.456871f, 88.9865799f, 90.1158371f, 90.2645416f, 0.373147279f, 0.374960691f, 0.793015122f, 1.13736677f, 1.52211547f, 1.82914662f, 2.08181334f, 2.89923882f, 4.60282755f, 6.56562233f, 6.8026638f, 7.25872135f, 7.28600121f, 7.32714748f, 7.35487175f, 7.40557384f, 7.50932312f, 7.51717091f, 7.52447319f, 7.54533768f, 7.56756544f, 7.57431602f, 7.59632492f, 7.61177349f, 7.61949825f, 7.67708826f, 7.68744612f, 7.69359112f, 7.69684696f, 7.6970377f, 7.69764423f, 7.78761435f, 8.09246063f, 8.34288406f, 10.0956488f, 10.6509838f, 10.8172646f, 11.0113764f, 11.2523632f, 11.687664f, 11.7719011f, 12.0143871f, 12.556879f, 13.9450626f, 14.1921978f, 14.8136387f, 15.1397762f, 15.7996769f, 16.2245178f, 17.05373f, 17.385704f, 17.4785061f, 17.8094902f, 17.9916935f, 18.2878418f, 19.2956333f, 19.5233688f, 19.9318981f, 20.6198158f, 20.6569939f, 21.1050873f, 21.2968483f, 21.5778675f, 23.8650188f, 24.1473694f, 25.027256f, 25.3561192f, 25.9639893f, 25.9949989f, 26.3233395f, 26.6511307f, 27.1999645f, 27.562254f, 28.7793083f, 29.5151939f, 29.6909523f, 30.1930847f, 30.2892227f, 30.4508133f, 30.675909f, 30.7862396f, 30.7871323f, 31.1864281f, 31.2258205f, 31.2599125f, 31.8357754f, 32.0507202f, 32.4508934f, 32.8765717f, 33.4817924f, 34.3961601f, 36.0800858f, 36.5476456f, 37.0075684f, 37.6262054f, 38.4827194f, 42.9668121f, 44.327301f, 47.9247475f, 48.7079391f, 50.1307144f, 51.2397614f, 53.2043915f, 54.8604431f, 56.6773987f, 62.1538811f, 69.3406754f, 70.3101196f, 76.3147125f, 76.4644012f, 90.3205338f, 95.8271637f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 8.5f, 9.5f, 11.5f, 12.5f, 13.5f, 15.5f, 25.5f, 26.5f, 28.f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 8.5f, 16.5f, 30.f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 8.5f, 9.5f, 10.5f, 11.5f, 12.5f, 13.5f, 19.5f, 22.5f, 30.5f}; + + /* Aggregated array of leaf values for trees. Each tree is represented by a separate line: */ + double LeafValues[159776] = { + -0.6153600284981314, -0.3134071392703053, -0.5328682968022697, -0.1707002909854041, -0.6235207845033607, 0.01146785605108547, -0.5184818801525803, 0.2237748937207676, -0.8610969328799117, -0.4200121720325179, -0.6008563056087585, -0.2021537465343976, -0.8969521625047996, -0.2147355596533974, -0.7363616075291721, -0.09920811703839072, -0.4883910597959987, -0.3656108503370699, -0.4507345498897387, -0.1530370323760653, -0.4516063569016457, -0.3220312736634777, -0.2412573490862814, 0.3355988859613363, -0.644964277839843, -0.4040034714788324, -0.4799069843945733, -0.2126331111029526, -0.6142739466600845, -0.5630538990610753, -0.524416244441794, -0.04745011386785495, + -0.4484015059838495, -0.2544654985721282, -0.3684358257301637, -0.121962184093039, -0.4295105762316219, -0.03326515191958258, -0.3061664167088891, 0.2301704981908622, -0.5981685106094881, -0.3873043841737702, -0.4106583279637586, 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CatboostModel_RGA_inbending_pass1& model = CatboostModel_RGA_inbending_pass1Static; + + /* Binarise features */ + std::vector binaryFeatures(model.BinaryFeatureCount); + unsigned int binFeatureIndex = 0; + for (unsigned int i = 0; i < model.FloatFeatureCount; ++i) { + for(unsigned int j = 0; j < model.BorderCounts[i]; ++j) { + binaryFeatures[binFeatureIndex] = (unsigned char)(features[i] > model.Borders[binFeatureIndex]); + ++binFeatureIndex; + } + } + + /* Extract and sum values from trees */ + double result = 0.0; + const unsigned int* treeSplitsPtr = model.TreeSplits; + const double* leafValuesForCurrentTreePtr = model.LeafValues; + for (unsigned int treeId = 0; treeId < model.TreeCount; ++treeId) { + const unsigned int currentTreeDepth = model.TreeDepth[treeId]; + unsigned int index = 0; + for (unsigned int depth = 0; depth < currentTreeDepth; ++depth) { + index |= (binaryFeatures[treeSplitsPtr[depth]] << depth); + } + result += leafValuesForCurrentTreePtr[index]; + treeSplitsPtr += currentTreeDepth; + leafValuesForCurrentTreePtr += (1 << currentTreeDepth); + } + return model.Scale * result + model.Bias; +} + +double ApplyCatboostModel_RGA_inbending_pass1( + const std::vector& floatFeatures, + const std::vector& +) { + return ApplyCatboostModel_RGA_inbending_pass1(floatFeatures); +} + + +// clang-format on \ No newline at end of file diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_inbending_pass2.cpp b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_inbending_pass2.cpp new file mode 100644 index 00000000..5b5fd4c7 --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_inbending_pass2.cpp @@ -0,0 +1,4943 @@ +// clang-format off + +#include +#include + +/* Model data */ +static const struct CatboostModel_RGA_inbending_pass2 { + unsigned int FloatFeatureCount = 45; + unsigned int BinaryFeatureCount = 13747; + unsigned int TreeCount = 4879; + unsigned int TreeDepth[4879] = {5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}; + unsigned int TreeSplits[24395] = {4404, 3071, 797, 2443, 272, 4393, 3085, 822, 2461, 233, 4422, 3062, 758, 2812, 12375, 4367, 11483, 11266, 11357, 3118, 4457, 869, 484, 3099, 2314, 4350, 11451, 12407, 13731, 3090, 4451, 2933, 895, 256, 11493, 2823, 3048, 9070, 8988, 4007, 12652, 11398, 13706, 11266, 13731, 943, 295, 4564, 3129, 2303, 2795, 875, 198, 13707, 4768, 11515, 11266, 11335, 4430, 6008, 2489, 3175, 4896, 9055, 8988, 847, 4321, 6008, 3043, 4166, 2933, 910, 256, 13718, 2096, 2417, 9046, 8988, 4435, 6013, 1356, 12634, 11431, 3139, 4815, 2784, 780, 3039, 3890, 13706, 2297, 1132, 3043, 4095, 1851, 2843, 9035, 8988, 4396, 6008, 4929, 3214, 1845, 2995, 4157, 11757, 11346, 4447, 11266, 589, 2505, 932, 233, 4755, 7146, 1356, 2933, 1143, 523, 4595, 11540, 11266, 11330, 13706, 3209, 2323, 9023, 9871, 4732, 8988, 700, 749, 4339, 153, 7133, 4905, 3195, 1566, 2083, 985, 2683, 10208, 9412, 749, 705, 1356, 5836, 4722, 458, 3154, 2277, 11557, 11266, 11309, 4404, 4950, 6948, 4327, 5092, 6008, 7983, 2485, 2680, 958, 309, 9030, 9838, 3288, 1829, 3968, 700, 749, 162, 357, 1035, 2285, 1841, 3263, 2995, 4057, 5872, 4782, 405, 1058, 2083, 2952, 1361, 3114, 1514, 3012, 2782, 2270, 1861, 3233, 1228, 11555, 11266, 11300, 12276, 4409, 906, 3721, 3043, 3129, 1535, 9024, 8988, 4409, 5109, 5997, 8569, 4908, 7007, 4758, 4373, 705, 745, 4524, 2083, 1653, 5803, 4599, 592, 1204, 4414, 1370, 3109, 4053, 1602, 558, 7926, 4868, 7066, 4386, 13718, 2671, 917, 224, 4689, 7042, 5507, 13733, 4404, 6021, 1042, 2500, 8051, 4559, 3692, 3034, 2703, 2382, 3062, 3936, 3195, 9015, 8988, 13706, 11448, 11266, 1370, 3085, 3999, 1468, 3237, 4294, 4404, 5119, 13732, 6013, 3002, 4196, 3071, 1444, 3949, 11569, 13406, 11298, 4404, 947, 9446, 10200, 9416, 9383, 4404, 5821, 13718, 454, 4418, 7139, 705, 741, 4532, 389, 4409, 4975, 5492, 13733, 977, 2541, 5883, 4764, 340, 4488, 13732, 2249, 2083, 1543, 3124, 638, 11848, 11757, 11791, 4418, 5109, 1356, 12105, 11291, 12375, 1077, 8548, 3002, 4184, 3071, 1437, 712, 2083, 1619, 3150, 3850, 7905, 5850, 4665, 556, 1248, 2950, 10378, 9012, 13706, 9055, 5009, 843, 175, 2087, 1706, 2657, 1287, 621, 3139, 1653, 9436, 10229, 9406, 9383, 4404, 1375, 11377, 11266, 12294, 4515, 5504, 5608, 924, 2091, 1463, 6882, 8045, 4793, 2495, 4515, 695, 5790, 4571, 3784, 3053, 8445, 4404, 6008, 5098, 13719, 11867, 845, 177, 370, 967, 2241, 1844, 4541, 2858, 3154, 2531, 9410, 9383, 4404, 4343, 12087, 11296, 11266, 12260, 4422, 8624, 2937, 420, 3095, 4116, 6299, 5222, 397, 1069, 2541, 712, 745, 127, 350, 1003, 2659, 1312, 645, 3109, 1492, 5778, 4541, 3706, 3043, 3095, 5502, 5611, 1045, 3150, 1648, 4290, 623, 1305, 4544, 7066, 5013, 3002, 4196, 4339, 6008, 11873, 11757, 11778, 4404, 854, 1356, 2532, 4404, 4509, 7208, 8481, 4422, 1702, 3191, 3909, 6850, 4303, 613, 1269, 3170, 12082, 11296, 12407, 12270, 11318, 8184, 13732, 7399, 1009, 4451, 1391, 3085, 3979, 3267, 1714, 9408, 10200, 3118, 4181, 1779, 2215, 2083, 845, 1512, 216, 2651, 2541, 1191, 508, 2087, 5515, 415, 1127, 2087, 1650, 12860, 2999, 1833, 3300, 4053, 2032, 3371, 9028, 9883, 1907, 2954, 10381, 9006, 4404, 6008, 5874, 4689, 386, 4457, 5170, 695, 268, 4447, 1745, 858, 2219, 1829, 4583, 2815, 3104, 4969, 7901, 6913, 1132, 460, 9406, 9383, 4548, 11451, 11266, 2017, 3371, 4053, 1764, 3095, 3676, 3039, 3085, 1478, 3996, 13734, 13708, 4393, 6008, 531, 5798, 4583, 7198, 13732, 384, 12134, 11291, 12407, 1079, 3085, 712, 346, 1045, 2541, 4534, 6294, 13719, 5100, 6008, 4350, 5363, 8189, 5154, 4425, 505, 1405, 3090, 1140, 3928, 3017, 5019, 8479, 7232, 4622, 4393, 4285, 12413, 3170, 1623, 3831, 13734, 9717, 9033, 9070, 11448, 3501, 9013, 9847, 9070, 10285, 9403, 9383, 4404, 4515, 11441, 7808, 7085, 4741, 4483, 523, 11800, 11757, 4555, 9945, 777, 2, 2047, 2990, 4221, 1706, 3673, 858, 4512, 2541, 3034, 2648, 2420, 4752, 7111, 1108, 1391, 3062, 3847, 3146, 1597, 2206, 1839, 2873, 4595, 1045, 5778, 13733, 13707, 6402, 6017, 12833, 13165, 12269, 371, 2827, 6252, 13719, 7448, 5104, 6008, 5916, 4808, 167, 4665, 847, 718, 346, 4425, 4634, 6998, 8422, 4422, 4305, 680, 1340, 9403, 10218, 9860, 9098, 1992, 10381, 9000, 9070, 10295, 4532, 8637, 2954, 4797, 3012, 4373, 12060, 11352, 12375, 12288, 4393, 1356, 4285, 4393, 1614, 3165, 3497, 4099, 1939, 3124, 3359, 1839, 2325, 4515, 2789, 3085, 7778, 6942, 4836, 13732, 4474, 5661, 5530, 425, 1135, 2083, 2532, 1821, 2986, 4254, 3411, 9694, 9079, 1982, 3339, 4011, 11795, 11266, 11451, 4609, 3109, 5769, 6796, 4308, 610, 1256, 366, 1052, 2083, 1637, 3170, 843, 186, 366, 979, 2083, 2080, 1405, 3062, 3828, 3118, 2210, 1829, 1999, 3406, 4091, 8153, 5304, 7382, 1018, 4505, 695, 4404, 256, 1522, 3099, 3511, 837, 3683, 4586, 10227, 5028, 1841, 2986, 4229, 3433, 9403, 9383, 4393, 6008, 4373, 5916, 4808, 324, 4599, 7081, 2, 6314, 5234, 312, 986, 2625, 1331, 660, 3109, 4237, 5816, 3230, 677, 1558, 1340, 1354, 685, 3129, 4259, 1172, 8437, 6893, 13732, 7363, 5149, 13734, 13709, 6008, 4367, 581, 12133, 11295, 11311, 991, 12375, 718, 737, 116, 4747, 6985, 7778, 7178, 4634, 13732, 508, 9674, 9064, 9020, 407, 11451, 11888, 11483, 2793, 1926, 2387, 6248, 13719, 6108, 4447, 1045, 12833, 3012, 5088, 6400, 6008, 13734, 9740, 9020, 9070, 350, 12280, 531, 1228, 2542, 2235, 2625, 1280, 581, 1179, 490, 4393, 13720, 6599, 6453, 5495, 1348, 680, 3114, 4217, 1489, 5641, 7608, 8318, 930, 2541, 6796, 4327, 665, 1327, 6008, 1354, 689, 2751, 2455, 3114, 5774, 4512, 4393, 519, 1226, 386, 1111, 449, 1150, 2541, 1314, 638, 3109, 4226, 1519, 1354, 689, 2758, 1910, 3296, 2964, 10381, 377, 1081, 2083, 9277, 4040, 3416, 1757, 3090, 2990, 1975, 3304, 3965, 1697, 9398, 9383, 4393, 6008, 2795, 5916, 4715, 150, 13731, 7128, 3545, 852, 212, 384, 1012, 2625, 1340, 2325, 669, 1298, 1839, 2332, 4595, 3066, 3887, 2990, 4259, 1719, 3250, 3959, 11624, 3727, 3048, 3085, 4013, 13734, 13709, 13707, 6401, 5098, 5388, 8780, 4404, 4498, 5164, 1356, 2083, 1433, 885, 4377, 6280, 5203, 3170, 1186, 503, 1354, 689, 2604, 1263, 558, 364, 2871, 1903, 3085, 4132, 3511, 10295, 8995, 8988, 4393, 5821, 4595, 9731, 3310, 7402, 2080, 1839, 2321, 2382, 2885, 5046, 366, 12191, 11357, 12373, 12494, 10366, 386, 1097, 2541, 2, 2047, 38, 1821, 2263, 13735, 13710, 9647, 4656, 7176, 9398, 10223, 9825, 843, 180, 2625, 1321, 642, 3160, 1561, 6800, 6838, 4296, 6116, 13719, 3497, 910, 289, 2083, 1729, 1348, 682, 2753, 3104, 4246, 8422, 4989, 1132, 434, 370, 12819, 11483, 843, 11371, 12146, 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13208, 3690, 12756, 6253, 8243, 2583, 1372, 2329, 9988, 1019, 13461, 9619, 5870, 10429, 13719, 946, 6439, 483, 5269, 4191, 11676, 12069, 10082, 3495, 0, 7456, 8088, 9119, 24, 5287, 8401, 6623, 5006, 8909, 10905, 699, 3065, 3812, 1707, 3041, 8985, 10982, 11127, 10183, 3643, 5975, 9465, 6143, 1700, 612, 707, 11536, 6204, 5634, 3148, 6761, 13726, 12734, 11274, 3429, 10680, 5682, 50, 3829, 6380, 3595, 10743, 8390, 2409, 10995, 9194, 10829, 12069, 10933, 11585, 1192, 470, 12292, 11337, 12380, 9574, 10336, 12178, 9777, 4179, 1357, 10274, 13083, 12421, 4876, 13731, 4859, 6072, 317, 4705, 13743, 12519, 7499, 10041, 1207, 2814, 11293, 11422, 1977, 4504, 2706, 8728, 8668, 5202, 2598, 9896, 1971, 3441, 1138, 4017, 9481, 10131, 13719, 12044, 12484, 2525, 9373, 774, 4971, 11720, 7619, 6653, 4825, 1435, 6887, 12052, 10573, 725, 9523, 7845, 7249, 12900, 13136, 11268, 9279, 2172, 1750, 1875, 2731, 4648, 8073, 7771, 7566, 10332, 1610, 4297, 5159, 6295, 6007, 5094, 6360, 1355, 9094, 2157, 537, 4392, 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1810, 11556, 4247, 5782, 6778, 659, 4492, 4383, 6163, 13721, 5499, 4258, 1412, 3580, 3677, 4812, 748, 2025, 13515, 12892, 13154, 1803, 767, 1359, 3010, 3068, 1924, 4168, 8369, 5473, 5067, 9669, 12196, 13080, 11272, 4264, 3116, 4780, 5015, 714, 12096, 2056, 3687, 12985, 7743, 5406, 22, 8477, 6214, 4287, 12401, 8500, 2554, 13573, 11266, 12356, 489, 11408, 9580, 1733, 2989, 4242, 3106, 9542, 10764, 11664, 6895, 12983, 8646, 2080, 8641, 9720, 3093, 8537, 8534, 8022, 10244, 5786, 3839, 13222, 731, 319, 12713, 8232, 10664, 6812, 6550, 12492, 7698, 9611, 8255, 6873, 6462, 10137, 2998, 12042, 9695, 7800, 10086, 10504, 1972, 9794, 10748, 12048, 7451, 3856, 9702, 7994, 8474, 12761, 11907, 7556, 6678, 10137, 13732, 2070, 9758, 9177, 10471, 7284, 5067, 8601, 10724, 6535, 7294, 6301, 9420, 10215, 8537, 11862, 604, 1296, 3258, 3485, 2517, 3945, 1951, 1131, 1880, 9887, 10042, 575, 4902, 10953, 12048, 10643, 3380, 10609, 10918, 11674, 12, 7505, 4119, 5749, 8962, 11668, 9351, 11999, 6214, 4298, 2867, 4205, 11462, 10086, 10108, 242, 9383, 4535, 10795, 5439, 5067, 7395, 704, 8807, 10386, 3079, 9133, 5882, 9580, 9583, 6739, 9690, 9236, 4411, 4401, 4424, 7323, 6997, 10854, 9384, 2849, 9448, 10125, 8983, 13405, 11709, 3839, 1694, 11747, 6612, 8836, 2554, 13733, 10604, 3610, 731, 10854, 9463, 8830, 13252, 9936, 3888, 4686, 5042, 1482, 6886, 829, 2261, 945, 4119, 594, 1636, 3177, 13329, 13332, 10474, 2117, 1578, 3485, 8192, 1508, 77, 7889, 2315, 2261, 1033, 647, 2860, 12666, 13736, 5812, 2153, 4473, 2669, 151, 1850, 4067, 3346, 11833, 11882, 13734, 7210, 7757, 6492, 7302, 5897, 591, 5069, 5021, 5948, 6895, 14, 12966, 13430, 13343, 6570, 5432, 33, 1188, 7225, 4956, 4653, 4497, 6149, 440, 4450, 11307, 12171, 13209, 2541, 148, 879, 11533, 8603, 6768, 9366, 6849, 11699, 12037, 11640, 13674, 8383, 5321, 6350, 6584, 4565, 13721, 13737, 12320, 3116, 5336, 1428, 11384, 6244, 4569, 6184, 580, 4744, 10953, 9714, 10827, 1415, 5144, 10792, 12877, 11307, 1683, 11360, 5825, 7961, 2060, 870, 7060, 8246, 3249, 1389, 4056, 1767, 13573, 13571, 11266, 7667, 12297, 4268, 6010, 1188, 12220, 11353, 6163, 494, 3116, 4378, 2830, 2970, 10851, 9771, 5740, 12154, 8775, 982, 275, 10983, 9104, 82, 4880, 7157, 4754, 501, 2949, 11244, 8635, 13526, 2915, 649, 6244, 10325, 4506, 1330, 1880, 12305, 5512, 11334, 11415, 6447, 6792, 5096, 7900, 6146, 9596, 12442, 9213, 2541, 4340, 5690, 2629, 9951, 7400, 5315, 6233, 13393, 10298, 11533, 9708, 6778, 5792, 4387, 12042, 5497, 13396, 9099, 3590, 13041, 775, 11163, 11161, 6240, 7753, 7060, 6447, 6682, 5480, 13734, 5563, 12200, 3407, 10897, 5757, 12613, 5021, 3385, 1715, 3696, 12574, 13515, 13509, 11644, 4487, 7632, 5042, 6581, 10211, 5943, 12598, 11833, 4661, 11488, 3920, 3084, 11995, 13543, 7500, 4772, 13734, 8232, 6678, 2180, 5740, 9022, 6350, 5386, 4794, 4083, 3106, 6410, 112, 2066, 9846, 9182, 12985, 7966, 4761, 10419, 2041, 3535, 11520, 12282, 12642, 2449, 6275, 2444, 9285, 9641, 11712, 8646, 2080, 8046, 8641, 7065, 10918, 12048, 10643, 2541, 11517, 10015, 7973, 8596, 8590, 11725, 10978, 5897, 3228, 4102, 1710, 11246, 11920, 5757, 2564, 7830, 7887, 7896, 8402, 7636, 12530, 9580, 5825, 9977, 3280, 10156, 8537, 29, 4185, 1569, 3120, 5782, 13260, 8163, 12372, 3232, 3004, 2327, 1675, 3981, 3060, 8124, 5055, 1810, 2792, 4098, 3294, 4077, 4809, 1767, 3167, 13742, 9334, 4047, 7145, 1533, 3485, 3494, 8, 10387, 11237, 10725, 10706, 8893, 9663, 10311, 13080, 11287, 4, 5007, 6979, 8308, 2051, 8447, 13087, 4864, 3795, 5536, 5533, 2117, 1026, 2535, 11747, 10271, 8259, 7299, 5637, 13113, 6247, 3712, 3019, 10488, 12676, 11428, 9047, 10397, 5042, 2639, 151, 5568, 8415, 6307, 4326, 6005, 4406, 1627, 2075, 643, 4219, 3245, 1645, 6233, 5464, 4064, 7360, 208, 3535, 3536, 204, 2025, 4156, 5690, 8072, 5464, 8718, 714, 11012, 10946, 6889, 1424, 3421, 3795, 11079, 13256, 752, 3162, 10918, 12935, 11958, 390, 775, 6492, 1250, 13396, 3254, 525, 7254, 4909, 3172, 1112, 4661, 3004, 4238, 12434, 3143, 1560, 2669, 8400, 4459, 6822, 6397, 5442, 7395, 7784, 2881, 6605, 5637, 13663, 8383, 6275, 5155, 6214, 4265, 1351, 686, 6818, 5690, 6806, 8212, 4198, 9237, 9354, 13091, 787, 263, 2199, 11833, 7775, 9734, 5449, 3392, 11995, 11278, 7312, 7220, 3297, 13405, 9560, 10822, 9806, 2036, 9542, 9520, 6368, 1569, 11514, 13315, 7775, 5786, 2806, 8704, 10604, 10607, 7681, 5732, 775, 9958, 2853, 2272, 11745, 4119, 10657, 12669, 10967, 9496, 13701, 10795, 5723, 8584, 6645, 3590, 11163, 4784, 5265, 7386, 1106, 11264, 5053, 8991, 13095, 12405, 5964, 2977, 4139, 2993, 1470, 10846, 7121, 1450, 3194, 4050, 13209, 3079, 2491, 1954, 4173, 1880, 2891, 11069, 3116, 12732, 1350, 672, 4487, 2327, 2909, 3544, 10002, 13068, 9325, 7797, 1188, 2225, 1627, 4716, 3162, 1277, 2541, 3301, 3841, 3024, 12666, 553, 4224, 7902, 4360, 1350, 2848, 2478, 6086, 4330, 5771, 6748, 8842, 7661, 7782, 7267, 7255, 4744, 13732, 631, 2315, 2347, 1373, 9252, 1310, 7294, 6018, 2881, 2377, 4356, 10471, 9984, 2486, 13357, 7891, 4516, 4492, 1843, 225, 4010, 7842, 12609, 1385, 2181, 4340, 5021, 10603, 1378, 11542, 9420, 8969, 5727, 5380, 3741, 3597, 5906, 10273, 7294, 11845, 12436, 13252, 92, 4800, 3958, 3073, 6539, 1323, 4247, 13709, 11983, 5637, 1022, 2016, 225, 9846, 6149, 13701, 12396, 8050, 6783, 12985, 12800, 6330, 12317, 13126, 13711, 9995, 6596, 7567, 1381, 9951, 202, 9071, 9018, 999, 838, 509, 4450, 2086, 1555, 6447, 6926, 10913, 4516, 13732, 6707, 9893, 12055, 8380, 7469, 12048, 7860, 894, 2211, 6064, 13541, 2636, 3084, 3886, 3125, 10970, 7025, 631, 4744, 4573, 3610, 10541, 704, 13674, 12593, 11247, 11130, 3217, 3228, 1381, 1359, 6553, 8029, 9291, 82, 6350, 10840, 6162, 13007, 9187, 6853, 13698, 2060, 744, 4087, 9371, 4961, 10488, 3345, 12579, 10450, 12008, 5501, 13734, 9183, 2075, 13538, 4, 6247, 4064, 6307, 1044, 5223, 5179, 242, 1188, 7225, 5333, 5871, 4378, 2970, 13182, 2101, 11656, 4122, 6233, 9663, 10363, 3653, 3031, 5042, 10837, 6209, 7487, 2645, 13111, 13247, 4696, 11876, 761, 5964, 8182, 8066, 4895, 549, 649, 3417, 4258, 1259, 1864, 11833, 11224, 2261, 4676, 5746, 8124, 8323, 7578, 709, 3275, 5690, 8835, 5589, 4769, 7180, 9539, 4794, 6015, 416, 4596, 1188, 1954, 542, 2548, 4442, 8808, 12455, 5330, 8480, 7486, 11753, 3374, 10606, 10146, 9870, 1996, 4182, 6146, 3199, 1666, 7121, 10843, 9154, 9052, 4605, 6214, 2237, 1281, 1601, 2742, 11163, 9649, 11158, 9329, 10040, 6492, 8059, 3444, 3677, 13732, 8232, 2041, 731, 7367, 11979, 13573, 13570, 2540, 1016, 4021, 10086, 10504, 1972, 9414, 6368, 13369, 3102, 8675, 13234, 6270, 5042, 6581, 3933, 3409, 2005, 6214, 9112, 2060, 3555, 3950, 8983, 4233, 1733, 3143, 3992, 12037, 11294, 1782, 436, 12717, 7766, 8884, 2046, 3365, 4882, 13430, 11944, 5820, 11508, 2666, 9615, 13463, 3922, 11749, 9358, 9580, 752, 7556, 79, 2645, 10792, 11661, 2898, 10882, 1515, 10471, 5830, 9822, 4669, 9053, 7887, 7896, 13736, 12685, 2081, 8603, 2602, 1984, 4473, 13719, 7284, 2162, 4459, 1454, 1201, 7837, 12102, 13575, 6066, 2497, 10724, 7467, 1178, 5213, 5148, 6149, 6812, 1310, 4326, 686, 2768, 11967, 3698, 3045, 3060, 2931, 2926, 3106, 8987, 9739, 2669, 5873, 11678, 2476, 13401, 1880, 6194, 4209, 1847, 3220, 8537, 2160, 7103, 4307, 968, 2596, 11235, 9487, 767, 1703, 2669, 11125, 4, 7640, 3212, 10137, 1216, 466, 4733, 6842, 1812, 3064, 528, 3981, 3120, 9596, 4052, 1840, 1817, 3280, 9354, 3010, 6835, 11642, 4360, 740, 68, 3060, 4156, 4748, 13329, 13334, 5259, 3386, 7410, 1277, 549, 10351, 9052, 10283, 6149, 13701, 12396, 13721, 1760, 10075, 2985, 1840, 6524, 4920, 11995, 12810, 740, 431, 2010, 13283, 13284, 3710, 1782, 3350, 12666, 10004, 3415, 1742, 4892, 6853, 5061, 10360, 13121, 13477, 6447, 6428, 1389, 8765, 12184, 12037, 13634, 10247, 10294, 3659, 649, 2075, 9141, 11522, 808, 10031, 9678, 1838, 306, 4072, 2596, 1984, 4161, 6663, 12790, 2315, 5771, 8583, 4360, 1247, 12200, 12177, 10256, 5183, 4247, 10271, 11747, 13247, 10038, 13654, 2881, 2380, 2860, 9170, 11266, 2813, 6877, 5061, 461, 8424, 1958, 3125, 2792, 1389, 3014, 11753, 12848, 2344, 3610, 736, 945, 13719, 7070, 4473, 466, 9657, 10278, 1501, 6392, 3823, 10666, 698, 5162, 9288, 10987, 13252, 8830, 2574, 10261, 5514, 1188, 10659, 2229, 1636, 4122, 8267, 11185, 13052, 6822, 4812, 5964, 8347, 8058, 6247, 4406, 1350, 676, 4482, 1362, 10244, 8646, 2080, 12261, 5853, 4371, 6447, 6748, 7728, 7269, 4613, 6307, 8093, 2171, 4725, 1605, 6778, 5792, 1337, 12401, 4437, 12681, 7815, 2166, 1582, 10927, 2060, 679, 6244, 41, 4165, 7428, 3666, 3036, 3050, 1470, 3294, 5003, 8028, 9551, 13168, 10871, 10496, 11691, 13252, 12145, 9577, 704, 13139, 12697, 7314, 2919, 2931, 2066, 6815, 2372, 2653, 2645, 13715, 3073, 6958, 10795, 11257, 10625, 10806, 8404, 11723, 12706, 13180, 2036, 5956, 7121, 4953, 517, 4748, 4573, 5021, 5948, 416, 1167, 8646, 8369, 9608, 145, 2229, 9225, 1344, 664, 4251, 1461, 3125, 13209, 11391, 11397, 4450, 533, 13712, 1958, 7991, 9252, 9900, 8232, 542, 1259, 4699, 6134, 10137, 8847, 11990, 1486, 9868, 5645, 6607, 7629, 11742, 4470, 5446, 4025, 7391, 13531, 7886, 6214, 3610, 1330, 10541, 4953, 1277, 13149, 12429, 2237, 11458, 13188, 2544, 1987, 4161, 5802, 6410, 5103, 5192, 325, 13732, 7837, 6815, 459, 6726, 1203, 8246, 9977, 1812, 787, 9037, 1350, 1739, 7556, 4230, 2566, 10918, 9727, 9736, 6036, 10322, 10897, 11737, 10698, 5802, 4178, 9566, 1547, 6686, 10544, 1092, 7428, 13260, 10264, 11106, 11843, 2081, 11548, 13142, 12028, 5980, 7750, 13488, 11235, 2051, 6109, 13289, 2977, 11376, 12602, 9069, 9520, 698, 6745, 9961, 2821, 649, 2075, 3989, 3060, 3102, 3453, 2272, 3972, 1958, 403, 1277, 2541, 3162, 1618, 4135, 2768, 11967, 12530, 6778, 1407, 9371, 4961, 7533, 4930, 3983, 13515, 12145, 11460, 3143, 4182, 9596, 1196, 7241, 12202, 11322, 7483, 5300, 6355, 300, 5185, 8603, 8602, 100, 6031, 4851, 6492, 7201, 12048, 5421, 6077, 6233, 7831, 7833, 192, 8654, 10086, 640, 12499, 11924, 12825, 8332, 8331, 8076, 5704, 4711, 5356, 6899, 4276, 7775, 4033, 10271, 11747, 13254, 8002, 9671, 8356, 8367, 6553, 8928, 11065, 6539, 3710, 3701, 5646, 347, 11833, 10851, 11849, 1895, 12295, 11753, 8199, 5368, 6326, 2944, 1958, 3125, 2478, 9053, 10290, 12985, 12802, 2688, 11553, 5469, 5906, 10273, 714, 5012, 8519, 6853, 2940, 12764, 11990, 13534, 10772, 7692, 8159, 5197, 5556, 8391, 7043, 2540, 7515, 5171, 3485, 13693, 9548, 10640, 1884, 3795, 1787, 3235, 2511, 4437, 13315, 12202, 1591, 2183, 7551, 2813, 2806, 5015, 7775, 9281, 9520, 12302, 867, 513, 13732, 10725, 13235, 5755, 3590, 7685, 2060, 679, 7487, 6292, 3256, 10953, 12083, 2982, 5749, 7369, 2315, 1835, 4185, 4742, 3106, 6275, 8268, 12438, 7289, 4364, 2427, 11316, 7091, 704, 11844, 7950, 7072, 12099, 11525, 4510, 3294, 9379, 8935, 13735, 4061, 12037, 5859, 13658, 6354, 9187, 10962, 13675, 10053, 12616, 11264, 8, 10018, 10408, 9643, 709, 10689, 9669, 4719, 4083, 3338, 1350, 10959, 13470, 13631, 7533, 2169, 12448, 6559, 9016, 4696, 10471, 2197, 1420, 9249, 11242, 9354, 787, 6628, 8921, 3508, 2315, 12059, 6535, 1313, 615, 3918, 3343, 1843, 2430, 4535, 10970, 10634, 10656, 10120, 13107, 10031, 6847, 3952, 4855, 783, 4411, 4401, 13720, 5864, 296, 7766, 10976, 3593, 3731, 9529, 8969, 7667, 12983, 12981, 3952, 3675, 3019, 3036, 1601, 3879, 6307, 11721, 12705, 907, 9967, 6214, 13067, 874, 9445, 1694, 13429, 7748, 1880, 9148, 2849, 2813, 2504, 12642, 10050, 11015, 13188, 2724, 4766, 1573, 8517, 649, 12429, 8983, 9958, 8152, 3294, 13670, 3634, 13146, 11445, 1359, 6553, 8732, 8738, 7370, 10557, 10568, 4791, 9008, 6919, 8775, 13499, 6228, 11716, 12842, 945, 13719, 6979, 4473, 6368, 8356, 3568, 10657, 7454, 10943, 9615, 12553, 13639, 9876, 12981, 11995, 6358, 1457, 5912, 4520, 7388, 12542, 11870, 5296, 1110, 1996, 1010, 280, 9846, 9902, 11672, 4754, 12473, 6778, 8280, 12678, 5317, 8807, 10878, 8168, 5356, 6301, 9001, 4202, 12656, 10493, 9586, 8790, 10074, 740, 9371, 7777, 1887, 7151, 5950, 3485, 10739, 10718, 3605, 10424, 3079, 7791, 1795, 4473, 3888, 1958, 13712, 9608, 4173, 6660, 8474, 2203, 1316, 619, 7941, 1344, 664, 3577, 4525, 7734, 4683, 12244, 7800, 4411, 11489, 8332, 709, 13091, 6645, 11376, 6275, 6739, 1010, 4119, 1679, 5576, 7617, 4679, 4028, 9246, 9580, 10660, 4920, 545, 7188, 10015, 12064, 8657, 11856, 4230, 8267, 8268, 6539, 12847, 12139, 10918, 13360, 12931, 130, 1389, 10949, 10994, 6886, 10677, 3147, 1350, 8547, 8503, 2865, 2469, 12681, 5796, 13260, 3456, 7292, 13420, 13407, 6868, 2041, 4156, 13396, 9764, 3948, 1209, 9431, 6785, 10670, 12662, 10054, 12428, 7837, 8391, 6963, 4744, 334, 8124, 5067, 6711, 6103, 8340, 10689, 11737, 13272, 6504, 13600, 10031, 7721, 7151, 5907, 4860, 10450, 10444, 5285, 7239, 2060, 10897, 10529, 13426, 5630, 3675, 2169, 13564, 13080, 6596, 6837, 10854, 1565, 2093, 6053, 13733, 2490, 11626, 13393, 3944, 12161, 5825, 5136, 4378, 5221, 412, 1188, 455, 3181, 4105, 1666, 3004, 3001, 1482, 4037, 290, 8620, 799, 8241, 5200, 7477, 2075, 698, 9293, 5071, 12416, 6511, 12390, 11312, 9066, 10344, 7454, 11548, 5313, 7021, 4482, 9657, 5174, 8660, 10730, 9266, 1958, 8714, 709, 5719, 7790, 7837, 5067, 10249, 1161, 11028, 10271, 5067, 7289, 8602, 8159, 8537, 8539, 11862, 7172, 804, 2998, 11747, 4716, 12228, 1983, 11812, 11796, 3031, 2349, 1765, 649, 6511, 12223, 1359, 3140, 6410, 5089, 8150, 9961, 13720, 12320, 9503, 7554, 1362, 2778, 13111, 11723, 13097, 5282, 2872, 2653, 155, 1859, 4079, 3385, 6757, 7930, 7618, 1586, 2298, 6492, 2989, 1486, 3997, 3040, 2970, 9520, 13349, 2410, 6369, 10918, 10908, 7571, 8317, 3162, 6244, 3876, 6806, 5458, 12556, 13405, 11747, 1954, 13506, 10753, 8356, 8367, 13314, 5442, 6818, 3079, 7698, 1454, 1053, 4397, 6785, 5084, 11418, 10391, 9083, 2530, 4143, 9221, 8987, 3031, 10724, 10595, 9450, 2945, 5627, 7254, 698, 5988, 4330, 6993, 13287, 7475, 12942, 1847, 3228, 5042, 1457, 4264, 704, 10350, 5782, 11143, 10455, 7275, 10451, 7121, 8179, 5796, 2060, 7811, 8473, 8747, 6659, 104, 12782, 13396, 9232, 9239, 10535, 10924, 752, 13227, 7980, 10760, 2010, 7887, 5725, 8962, 7588, 9358, 11450, 11439, 4433, 13719, 11266, 6275, 12656, 2444, 9337, 2566, 1996, 10006, 10538, 2138, 8768, 9596, 11096, 11090, 12803, 11956, 12899, 13168, 10802, 8880, 2081, 5690, 3634, 6119, 3453, 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6773, 7053, 13482, 11989, 11972, 8107, 5753, 1234, 9419, 10507, 11383, 12322, 10254, 7273, 475, 980, 11267, 10536, 11027, 10531, 5418, 3127, 6971, 7765, 8829, 3843, 3800, 4260, 6999, 5306, 8355, 2095, 1326, 4970, 5986, 7090, 11375, 3558, 3561, 7937, 6813, 12625, 8588, 8589, 11453, 2073, 11407, 6386, 10461, 3567, 9886, 2627, 10473, 6795, 10937, 8670, 3333, 13532, 12891, 253, 11404, 12207, 2496, 12450, 11372, 5239, 12029, 2053, 4273, 2801, 9747, 4140, 3592, 12903, 6366, 8865, 13719, 5695, 7424, 9706, 1620, 3070, 8715, 8701, 1284, 569, 4746, 7261, 5474, 7433, 12888, 13487, 8754, 9377, 5182, 6331, 4448, 6694, 6688, 5051, 7326, 2614, 10272, 1365, 3295, 4858, 813, 5604, 8131, 9368, 6188, 3896, 8230, 10834, 7098, 5283, 7304, 11089, 11092, 9589, 10877, 10438, 83, 11750, 13302, 13581, 12986, 734, 2079, 8574, 10481, 8025, 13065, 9476, 424, 3070, 4039, 662, 12638, 6313, 12908, 6813, 6938, 13545, 12450, 25, 3939, 7415, 1379, 13545, 3103, 2687, 6808, 13719, 12212, 6257, 713, 4286, 5483, 7708, 1294, 7306, 10826, 10436, 7645, 4593, 9815, 760, 8239, 8392, 8816, 9168, 7655, 8837, 5676, 4094, 2471, 445, 1175, 2310, 1386, 4311, 10638, 12106, 10629, 5024, 7256, 5398, 10688, 12298, 1662, 9092, 12920, 7871, 8245, 7447, 713, 5640, 5639, 1785, 10259, 3606, 13627, 5470, 37, 3857, 7261, 6808, 8651, 9987, 5400, 11121, 7525, 1223, 475, 4289, 9435, 8885, 12418, 10225, 7774, 8692, 6939, 13595, 12936, 136, 4863, 13514, 7974, 7959, 12135, 12973, 6784, 5239, 3488, 3863, 805, 5721, 6538, 644, 4652, 8128, 11722, 3011, 4026, 1440, 2081, 12147, 6852, 10405, 9380, 81, 693, 7765, 1464, 8628, 4260, 11573, 6829, 7804, 3509, 13350, 9374, 3579, 13176, 158, 813, 13241, 5063, 3463, 13421, 2911, 11016, 11005, 10532, 10952, 8097, 10303, 10296, 10652, 8493, 11168, 6784, 1360, 9270, 1347, 7893, 7539, 7946, 9818, 13574, 12976, 9296, 2930, 2001, 4158, 3330, 8319, 11091, 6864, 844, 6652, 10473, 4244, 2009, 7279, 5332, 10254, 408, 1152, 11622, 11271, 7286, 8981, 2538, 10720, 1592, 5923, 5059, 2488, 7995, 9302, 760, 6522, 5474, 3527, 8587, 4347, 4344, 8392, 13221, 12346, 1234, 510, 3867, 3042, 3082, 13708, 13725, 7669, 6033, 4448, 3558, 10005, 6170, 11025, 5737, 13560, 4213, 2646, 887, 5496, 11285, 7992, 7492, 9982, 7764, 7335, 5680, 10925, 10811, 12801, 8686, 10936, 10026, 7216, 9933, 9268, 8076, 13280, 1358, 10392, 11112, 10564, 8451, 3091, 6851, 13721, 5493, 3799, 13295, 10426, 6249, 12866, 10069, 13707, 11170, 11115, 13721, 13709, 2018, 5101, 1488, 13742, 119, 8431, 5490, 2109, 3223, 10007, 4432, 10879, 4027, 4280, 12630, 1309, 8888, 6615, 5552, 1126, 9852, 2027, 2094, 7985, 3219, 1177, 13594, 8672, 10250, 8418, 11952, 9386, 9347, 11112, 11632, 798, 7207, 12951, 13345, 8918, 5658, 2170, 9513, 5628, 12864, 9208, 816, 251, 3133, 13656, 13103, 5245, 7569, 7683, 8673, 12786, 5657, 13555, 12910, 13720, 2287, 9174, 80, 13721, 13737, 7324, 4385, 12172, 12043, 10845, 12751, 5218, 8320, 1937, 4941, 6139, 9192, 9573, 10090, 12179, 435, 739, 10253, 10961, 6706, 6546, 7372, 3500, 12479, 13124, 12040, 10352, 4250, 10865, 10492, 1692, 9160, 9509, 3110, 5143, 11207, 1646, 11728, 2421, 6438, 3182, 13736, 111, 5656, 10540, 5726, 9911, 13560, 13480, 8439, 13196, 8702, 3763, 9905, 1600, 10182, 9250, 12919, 7565, 11430, 11899, 8750, 6804, 7521, 7920, 9796, 4193, 10866, 10197, 10398, 3133, 9433, 11724, 11643, 13731, 5279, 6497, 7633, 9031, 7917, 11801, 2119, 8191, 2634, 7809, 5699, 3412, 6561, 12760, 12043, 2600, 13090, 10017, 9060, 12149, 10533, 12754, 12488, 2015, 73, 1947, 8126, 12431, 13725, 13181, 4381, 11231, 4275, 5707, 7614, 7602, 2356, 3481, 6363, 8853, 9939, 10316, 4055, 7564, 13740, 8861, 6633, 7639, 3726, 12791, 5277, 9356, 6714, 10977, 10842, 12090, 6420, 2121, 2585, 13604, 5919, 126, 8809, 10813, 9495, 7497, 7863, 6291, 13433, 5323, 6819, 8290, 12881, 4055, 6117, 13489, 435, 3689, 8330, 7437, 5016, 8154, 13347, 8592, 5881, 9921, 7958, 798, 3632, 13746, 4454, 811, 11131, 10214, 11137, 12950, 1371, 8443, 13281, 12526, 2978, 13043, 3496, 6983, 11198, 5176, 13015, 8327, 2757, 7001, 2524, 9687, 1687, 8561, 2125, 9776, 12822, 6804, 12452, 4193, 5342, 6597, 6533, 12040, 8183, 6947, 7756, 11148, 5780, 10575, 12748, 9321, 1136, 12240, 13104, 10253, 10875, 2008, 2805, 11234, 4972, 2085, 10253, 7194, 2022, 9324, 6830, 3489, 13378, 13010, 5791, 10808, 13558, 13719, 8465, 928, 8941, 10824, 13676, 7709, 9278, 2331, 10631, 5528, 10889, 12509, 8113, 8950, 13399, 12185, 10202, 7490, 2473, 692, 4946, 2854, 11785, 8509, 2902, 5249, 12750, 9992, 4232, 13307, 11619, 8329, 4036, 6242, 8776, 7716, 1743, 11037, 7634, 13348, 5600, 9585, 9844, 798, 3636, 10981, 4423, 13734, 13721, 663, 9338, 10842, 2588, 5768, 1306, 5476, 4843, 3347, 6219, 4245, 3158, 3063, 1577, 13399, 12263, 11916, 1532, 11382, 13108, 12515, 6967, 2167, 13613, 3669, 865, 9622, 2018, 244, 2055, 1268, 10250, 9247, 4372, 8376, 12914, 13415, 3487, 653, 6219, 6528, 11259, 5795, 6781, 6629, 5578, 258, 5528, 7385, 11724, 2529, 6579, 3581, 6975, 11113, 13108, 7747, 6897, 12522, 6300, 7555, 3607, 13297, 826, 6245, 4250, 7683, 640, 9602, 7715, 6219, 7564, 8129, 12038, 7230, 8090, 13616, 8740, 13076, 1475, 4085, 3564, 11841, 4587, 6804, 3927, 2593, 1441, 6037, 4245, 11256, 4917, 1227, 2837, 2055, 11262, 10061, 9874, 12885, 12822, 13258, 12038, 11370, 3874, 3669, 6927, 4372, 702, 13733, 8811, 9065, 754, 36, 1544, 12568, 10751, 8741, 5845, 5476, 4041, 3123, 3201, 1721, 3927, 6845, 6830, 5334, 4262, 7760, 9478, 11220, 4802, 10668, 13141, 6626, 5577, 1129, 9947, 2760, 5936, 12465, 7747, 2854, 10263, 13721, 9997, 7565, 5140, 6977, 10007, 12079, 5036, 11693, 768, 7715, 7723, 13359, 12994, 8918, 8507, 8461, 4256, 640, 1469, 4278, 11752, 6027, 9952, 7787, 12887, 23, 4486, 11413, 1634, 5768, 13236, 13410, 8729, 43, 7230, 3105, 6047, 3906, 1554, 8003, 6798, 5616, 1564, 13042, 5410, 4591, 3691, 1048, 5899, 6300, 5328, 10678, 4060, 4594, 7630, 11465, 5760, 2978, 4906, 11124, 5448, 8592, 10898, 9955, 2008, 8686, 2854, 6907, 4197, 6845, 8067, 11754, 7639, 66, 6567, 715, 8282, 4662, 12072, 8951, 12789, 12457, 6546, 7106, 6375, 1363, 3672, 7379, 9299, 3629, 940, 240, 4667, 3153, 8811, 2914, 3587, 11039, 2071, 6440, 348, 5272, 4536, 5911, 13399, 10674, 5146, 9335, 2983, 11724, 10969, 3, 9632, 4585, 10028, 11996, 2008, 6863, 802, 2061, 11262, 10661, 10457, 1241, 11115, 3614, 7389, 8360, 9865, 6370, 6367, 1383, 10116, 4591, 8376, 4946, 2459, 8987, 7911, 152, 4193, 3418, 1806, 3985, 11184, 13510, 2987, 7699, 974, 11137, 11131, 5817, 6443, 9932, 6496, 13711, 9965, 1258, 2423, 12440, 5788, 6779, 4400, 7898, 13533, 1383, 10116, 7108, 5212, 1671, 11560, 3257, 974, 4055, 3008, 4254, 7542, 8174, 10780, 5647, 1568, 11175, 11628, 6600, 8399, 3335, 1994, 8720, 85, 8642, 5748, 7674, 8997, 5040, 7715, 6273, 13269, 11754, 3423, 13368, 5933, 13170, 12940, 781, 12568, 1339, 5426, 12188, 2616, 7230, 5451, 12474, 11209, 9811, 12822, 11301, 12371, 557, 12379, 12864, 6798, 8922, 11120, 1918, 9999, 7760, 2905, 5888, 2978, 3669, 3551, 5326, 5760, 2437, 3642, 10452, 8671, 9588, 2936, 6624, 4125, 13285, 2656, 187, 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11236, 6845, 10007, 3877, 3524, 7071, 6409, 7715, 2539, 5382, 5902, 5414, 6242, 2052, 11238, 8362, 7398, 11212, 11210, 6789, 8139, 6798, 8351, 8972, 11919, 13151, 1734, 13616, 13609, 12795, 119, 6286, 3003, 2318, 3023, 3726, 1532, 13533, 5044, 4024, 11938, 8798, 13138, 5768, 9652, 9321, 10154, 4245, 9600, 6830, 8530, 9364, 1475, 5675, 9677, 10622, 13019, 614, 12423, 13721, 1801, 2129, 2018, 2356, 764, 8898, 244, 3044, 3054, 3682, 3884, 1453, 3669, 11262, 9901, 12318, 4796, 5027, 8240, 9584, 10130, 3859, 10456, 10961, 10545, 12011, 7504, 2817, 2824, 5591, 6859, 1506, 10665, 12267, 13225, 13435, 11479, 957, 219, 3811, 4938, 3197, 11258, 2572, 12664, 8786, 6206, 9607, 7872, 7767, 12075, 3110, 681, 5780, 1343, 4354, 656, 1051, 318, 6107, 4449, 7102, 11241, 8897, 7573, 1343, 12408, 1339, 13739, 6594, 11829, 11592, 12440, 10007, 7774, 13540, 8836, 3619, 811, 9622, 2015, 6699, 3317, 3307, 4227, 624, 1718, 13253, 3594, 7767, 12057, 13096, 8327, 7318, 2039, 5765, 7080, 13493, 6810, 13584, 2022, 2895, 13077, 11717, 332, 4163, 3289, 13644, 13640, 12919, 6701, 1869, 12617, 132, 9898, 1948, 9850, 6845, 2003, 7996, 10621, 5909, 2055, 170, 12777, 2388, 9126, 2983, 2039, 10, 12511, 13449, 13558, 1376, 7701, 6775, 6101, 7471, 6751, 12907, 6444, 1387, 9999, 9378, 12449, 11693, 5678, 8364, 6201, 7056, 4700, 4575, 630, 697, 7392, 13440, 13036, 11184, 7019, 1376, 12229, 8977, 12088, 6239, 8778, 11193, 10260, 3774, 9618, 9937, 6129, 3427, 13051, 283, 12549, 11846, 12057, 11212, 9469, 6249, 5745, 2415, 5564, 9632, 10045, 5444, 1796, 11752, 3331, 6564, 4046, 73, 5735, 5739, 2412, 8214, 9400, 8879, 7742, 8408, 9605, 2376, 2678, 743, 5809, 4445, 9833, 6296, 6967, 12009, 4614, 11269, 6900, 5463, 6249, 12552, 8167, 12746, 6514, 8003, 12367, 11356, 4275, 4250, 8459, 816, 1664, 12618, 13576, 7812, 10, 5754, 9985, 3546, 12152, 666, 8912, 13521, 9361, 10049, 2052, 2295, 8508, 9359, 8041, 2978, 6845, 8027, 3533, 12195, 6589, 9356, 2362, 8932, 5526, 8258, 5545, 6215, 7295, 13724, 8793, 4466, 13493, 12142, 9824, 1032, 11308, 10484, 11041, 3163, 12992, 1762, 12506, 5877, 10141, 5881, 7546, 13081, 10616, 7628, 7265, 11174, 10599, 9404, 9427, 11430, 12690, 1371, 3858, 8833, 23, 9751, 8560, 6525, 8579, 2857, 4256, 5410, 7989, 1406, 1238, 2284, 4366, 4358, 5842, 11759, 6866, 5438, 739, 3599, 2061, 7506, 7956, 1916, 5369, 3401, 6389, 7529, 5143, 5998, 5201, 6396, 7444, 7471, 36, 8679, 12062, 1339, 4376, 12079, 7666, 8466, 8507, 10966, 1511, 4445, 6022, 7283, 8984, 13557, 2080, 6473, 8335, 6556, 8840, 9762, 7569, 7252, 12054, 4993, 2266, 4113, 13281, 13593, 12550, 11159, 12222, 7529, 3632, 11730, 3030, 3044, 2209, 10126, 9383, 2174, 9877, 6497, 13742, 3702, 10713, 3503, 3557, 5726, 1611, 8157, 599, 1475, 6823, 10727, 10314, 3366, 9999, 9378, 8959, 4914, 2932, 13521, 13060, 5115, 10635, 13074, 7230, 5668, 10032, 4032, 10733, 5407, 7760, 12015, 10817, 9100, 5270, 8819, 697, 11638, 46, 7252, 5476, 13524, 807, 5001, 2740, 2452, 3072, 3915, 1499, 10246, 9573, 3302, 8804, 6477, 2840, 2829, 4598, 3023, 3955, 13533, 1383, 11719, 7781, 3231, 3669, 9645, 13397, 6644, 7668, 11519, 11482, 1930, 12143, 481, 13404, 5049, 7164, 13167, 12864, 7715, 7723, 13096, 13351, 920, 2362, 1367, 2764, 3081, 3957, 2983, 1832, 1927, 2928, 6308, 2951, 1869, 1902, 4049, 9224, 8287, 8646, 5791, 715, 6577, 12618, 13734, 978, 4349, 11430, 6215, 8470, 10460, 12655, 9723, 3557, 6359, 12555, 6641, 2452, 11081, 11087, 13705, 12551, 1411, 10824, 10489, 5799, 4142, 11734, 12506, 12893, 11961, 5460, 786, 10813, 6525, 10284, 6753, 1139, 13267, 3035, 5105, 13733, 7407, 5936, 6681, 3716, 13268, 3115, 10824, 8390, 12062, 6687, 8739, 13345, 27, 1523, 5638, 3482, 1475, 11007, 9260, 8285, 3530, 9552, 3211, 10646, 10974, 2358, 13328, 13333, 10067, 4707, 10661, 11131, 10255, 3940, 12409, 646, 3774, 6636, 768, 10899, 7535, 2879, 13279, 11325, 89, 8605, 7715, 11088, 10435, 9299, 473, 10852, 13108, 10014, 11752, 7319, 6222, 9565, 1731, 9571, 3370, 10456, 10126, 663, 8873, 4449, 3557, 8471, 12043, 9, 5716, 798, 793, 6677, 1857, 5666, 8507, 11966, 3261, 5976, 4522, 13644, 10, 10961, 1964, 3477, 2116, 6239, 12075, 4645, 10686, 3820, 3798, 13248, 9017, 7796, 2817, 2824, 5591, 6475, 5323, 7882, 8263, 5982, 1416, 7034, 6497, 4306, 4250, 13707, 624, 11241, 11595, 9565, 3533, 726, 5685, 69, 8710, 6875, 5225, 6845, 6193, 1335, 646, 4342, 5550, 6546, 1609, 11266, 2328, 8366, 10055, 13166, 7605, 13013, 1671, 11982, 13238, 9919, 4603, 8376, 7481, 5016, 5927, 2419, 152, 6059, 4811, 5847, 4614, 5817, 6806, 49, 4773, 4636, 5027, 1396, 10803, 3067, 122, 13204, 10892, 9499, 7949, 12987, 10505, 10521, 12199, 9957, 6457, 6496, 13691, 12103, 9233, 11392, 10039, 3331, 8393, 5712, 12930, 11614, 8984, 2529, 13258, 12173, 10028, 11996, 10432, 4027, 3187, 1255, 6234, 12395, 5845, 5101, 6387, 12445, 8950, 11939, 7824, 5817, 10276, 7295, 12435, 12958, 6705, 13246, 11754, 1985, 9378, 7529, 13723, 5120, 6715, 6183, 7882, 13017, 11677, 13115, 5011, 7450, 7609, 7598, 13593, 13310, 5544, 5538, 6798, 6451, 8864, 6501, 10169, 2524, 5410, 12038, 7283, 6278, 8902, 4993, 1969, 1792, 4081, 3284, 3169, 266, 2983, 12977, 13346, 270, 4204, 13616, 12284, 9477, 10553, 11162, 706, 13035, 276, 1572, 11619, 2840, 821, 2061, 13671, 8514, 1475, 3251, 9531, 7014, 1104, 2740, 6318, 13720, 4405, 8178, 13328, 13325, 12577, 948, 8193, 6387, 12445, 5312, 7302, 240, 6525, 8000, 10886, 4543, 1104, 3557, 11262, 6475, 8195, 9500, 4865, 9636, 706, 7051, 12011, 12440, 4563, 13419, 11013, 9136, 12618, 12606, 4796, 12723, 11861, 13734, 11757, 8680, 8683, 772, 10599, 3639, 10601, 10938, 7760, 13008, 6466, 3540, 6759, 7749, 11061, 36, 8390, 11082, 11717, 7935, 11895, 7932, 2553, 4113, 3729, 697, 10939, 369, 4773, 7450, 8908, 6234, 7843, 222, 6900, 11978, 11538, 3562, 11204, 5936, 9331, 1863, 10214, 12314, 11184, 2022, 3358, 8813, 6375, 10824, 11140, 1059, 9852, 1427, 7806, 1416, 6308, 5691, 9735, 6845, 7760, 2459, 1908, 9784, 7540, 8681, 4968, 1886, 4096, 7230, 9779, 1998, 237, 743, 8122, 10934, 6321, 4773, 8666, 6215, 13536, 5016, 3699, 8468, 11212, 10503, 3054, 10163, 62, 7252, 1185, 10222, 1554, 2541, 10039, 2065, 6419, 3201, 4491, 10813, 5813, 7849, 9605, 10613, 5410, 10732, 10761, 12377, 3964, 7252, 726, 13249, 5049, 8010, 5436, 9353, 8219, 8826, 3403, 5027, 6586, 13103, 2914, 2910, 12423, 8556, 6798, 7660, 646, 6496, 13262, 10248, 3546, 6091, 8592, 6830, 13686, 12122, 10728, 1051, 318, 2065, 3201, 2597, 5875, 10047, 13375, 9638, 11447, 8202, 11930, 9378, 8630, 10352, 5023, 7168, 4949, 2487, 1299, 13689, 1177, 4981, 1855, 12206, 2362, 13667, 7774, 2910, 11615, 8364, 8353, 687, 5301, 5613, 2105, 176, 1577, 1067, 9472, 3575, 6944, 5768, 5424, 12113, 3557, 8761, 10547, 12729, 5052, 10028, 9087, 9505, 12253, 8100, 8727, 8726, 12050, 9231, 11317, 2951, 13092, 1852, 9962, 13732, 4865, 4873, 12588, 12129, 128, 13161, 13145, 8502, 11282, 1552, 4887, 9273, 3174, 356, 4113, 10872, 11207, 10646, 3030, 781, 12777, 5260, 9680, 9051, 6897, 2879, 11715, 11717, 5730, 9946, 11241, 11108, 7853, 5735, 5389, 1371, 5618, 1087, 3110, 4177, 1671, 857, 4046, 3219, 398, 6525, 8533, 12919, 13202, 11964, 12528, 9585, 10915, 8815, 3825, 9697, 12040, 13108, 9535, 3362, 5360, 8818, 11628, 1990, 9231, 2837, 2829, 8886, 7552, 6924, 2879, 7682, 2167, 12477, 8561, 5685, 69, 3622, 735, 2044, 2678, 3465, 3798, 11266, 1889, 3669, 7465, 2080, 6810, 7650, 5451, 7153, 8798, 4245, 5040, 352, 6446, 7037, 4704, 4869, 6219, 7880, 10746, 2339, 1139, 7450, 2145, 2018, 3355, 6374, 1792, 5056, 3897, 3086, 3054, 5560, 5592, 13153, 8315, 11955, 11258, 7245, 2356, 3049, 4441, 8052, 1766, 8525, 12452, 4106, 8223, 12079, 11694, 9925, 12493, 3274, 56, 2428, 10713, 12103, 6273, 6760, 7036, 2876, 3587, 7230, 8228, 9562, 4419, 13733, 3669, 8581, 6806, 2008, 9347, 6965, 3320, 13155, 3719, 1698, 1537, 9336, 923, 4167, 3128, 11724, 10972, 9639, 2402, 4673, 3985, 8405, 5040, 3342, 9713, 8376, 2597, 4239, 3138, 2466, 2116, 12907, 6225, 4204, 1542, 8767, 5622, 7738, 11978, 3187, 8063, 5711, 8834, 7488, 8604, 11743, 7770, 12806, 5713, 12454, 12746, 12512, 5066, 10470, 7319, 10813, 9974, 13298, 9955, 9110, 6203, 7295, 8788, 10149, 12281, 5027, 11001, 11057, 10395, 8390, 5436, 1511, 9561, 10443, 4997, 2837, 4245, 1747, 13733, 6352, 12383, 395, 12332, 11403, 4423, 3274, 7561, 3, 1432, 5319, 5191, 5198, 13207, 10037, 1693, 5410, 7989, 12464, 9, 3397, 9612, 10051, 5011, 2654, 8434, 8507, 9999, 2198, 13345, 7048, 5947, 13171, 60, 4753, 4466, 10824, 5768, 1396, 1343, 2581, 13267, 11758, 11266, 12345, 8711, 5875, 12481, 10555, 6569, 4938, 6052, 4188, 1158, 3323, 348, 6900, 10975, 8630, 11262, 10653, 1255, 8875, 5060, 6959, 524, 11131, 10966, 4865, 10007, 4154, 8202, 3571, 8490, 3, 8895, 6804, 12601, 4472, 6177, 607, 1339, 13739, 12427, 8275, 12655, 7529, 12904, 6533, 5143, 13479, 11137, 8250, 5842, 6329, 7933, 7074, 4372, 4193, 2555, 1227, 3274, 6177, 630, 1743, 4603, 6282, 8742, 6774, 11076, 11382, 6845, 3063, 3059, 13114, 11863, 1295, 603, 3178, 4710, 7084, 11258, 6551, 8636, 10704, 4372, 5438, 1747, 13655, 12090, 4103, 5407, 5417, 12038, 12520, 2518, 3110, 3119, 6806, 3115, 1883, 2678, 735, 20, 11912, 9500, 5451, 7153, 1187, 4400, 4543}; + unsigned int BorderCounts[45] = {695, 661, 724, 459, 436, 640, 650, 803, 409, 290, 464, 304, 261, 500, 277, 201, 302, 175, 139, 262, 182, 153, 396, 238, 383, 273, 218, 186, 172, 130, 161, 122, 491, 295, 395, 242, 237, 187, 150, 143, 140, 160, 12, 13, 16}; + float Borders[13747] = {0.201794505f, 0.201868579f, 0.201886475f, 0.201944321f, 0.202016473f, 0.203652203f, 0.2036874f, 0.203709096f, 0.203788906f, 0.203825846f, 0.205590308f, 0.205633312f, 0.20564568f, 0.205679566f, 0.207473874f, 0.207508132f, 0.207562149f, 0.207675323f, 0.209258765f, 0.20942539f, 0.209502131f, 0.209578574f, 0.211220935f, 0.211368188f, 0.211376995f, 0.211528152f, 0.21326369f, 0.213332087f, 0.213394463f, 0.215045094f, 0.215136945f, 0.215234548f, 0.215304539f, 0.216980249f, 0.217048168f, 0.217251539f, 0.217377752f, 0.21914421f, 0.219332963f, 0.220906615f, 0.222811088f, 0.222960249f, 0.223207489f, 0.223208427f, 0.224956006f, 0.225217506f, 0.225231707f, 0.226789325f, 0.227055579f, 0.227191776f, 0.228795469f, 0.228987426f, 0.229148418f, 0.229334652f, 0.230903864f, 0.23098737f, 0.231087327f, 0.231317952f, 0.231499314f, 0.23298046f, 0.233069211f, 0.233329043f, 0.235217243f, 0.235373408f, 0.235409468f, 0.237077162f, 0.237216562f, 0.237449467f, 0.237487108f, 0.239471525f, 0.239516497f, 0.239641279f, 0.239650592f, 0.241556436f, 0.241711095f, 0.24175477f, 0.243741766f, 0.243799776f, 0.245667338f, 0.246066093f, 0.247814834f, 0.248090893f, 0.250452518f, 0.252353668f, 0.253993452f, 0.254082382f, 0.254240066f, 0.254575908f, 0.256319761f, 0.256366789f, 0.25856787f, 0.259060353f, 0.259089738f, 0.260662317f, 0.261306435f, 0.261334538f, 0.262702078f, 0.262979984f, 0.26320672f, 0.263524115f, 0.263618231f, 0.264957905f, 0.265436709f, 0.265848815f, 0.265871525f, 0.267242819f, 0.267492324f, 0.268064618f, 0.269376755f, 0.270443141f, 0.271597028f, 0.272012502f, 0.272856891f, 0.273865163f, 0.274484485f, 0.27492255f, 0.276783228f, 0.277371705f, 0.278535813f, 0.278799295f, 0.27961266f, 0.2797032f, 0.28102845f, 0.28138715f, 0.281880498f, 0.28340292f, 0.283557713f, 0.283788145f, 0.285972118f, 0.286433309f, 0.286671996f, 0.2881203f, 0.288297713f, 0.289052248f, 0.29065603f, 0.290848672f, 0.29121834f, 0.291507006f, 0.293683112f, 0.293957174f, 0.295479476f, 0.295898318f, 0.296310782f, 0.297825217f, 0.298517764f, 0.298734248f, 0.3007164f, 0.300858796f, 0.301302314f, 0.305303514f, 0.305633187f, 0.306263715f, 0.307601154f, 0.308100194f, 0.30838576f, 0.308767855f, 0.310111374f, 0.310618162f, 0.310820341f, 0.313053966f, 0.313684434f, 0.315088749f, 0.315479159f, 0.315959454f, 0.3181445f, 0.320370197f, 0.32287398f, 0.323117495f, 0.3236444f, 0.323718846f, 0.325180054f, 0.325575382f, 0.326196492f, 0.32631582f, 0.32834214f, 0.330905557f, 0.332990825f, 0.333303869f, 0.333359987f, 0.335610271f, 0.335785389f, 0.335859358f, 0.336667836f, 0.339522421f, 0.341092288f, 0.343742371f, 0.346352369f, 0.348962903f, 0.349111527f, 0.349269331f, 0.351862699f, 0.351995409f, 0.352911055f, 0.353309512f, 0.360015363f, 0.363300234f, 0.365616918f, 0.368364602f, 0.369054466f, 0.369977802f, 0.371133626f, 0.371302009f, 0.372388273f, 0.374966651f, 0.375113964f, 0.377234995f, 0.378031969f, 0.380280018f, 0.380942583f, 0.383152843f, 0.383941501f, 0.386126101f, 0.386932313f, 0.388777912f, 0.389885664f, 0.392763972f, 0.392842114f, 0.395754844f, 0.396524847f, 0.397711635f, 0.398441285f, 0.398850262f, 0.400770873f, 0.401640981f, 0.401926041f, 0.401934147f, 0.402542442f, 0.407966852f, 0.408196867f, 0.408229381f, 0.408505172f, 0.410974562f, 0.411698014f, 0.413999528f, 0.414142907f, 0.414372742f, 0.414832711f, 0.416564643f, 0.417860478f, 0.418038726f, 0.419822395f, 0.420394957f, 0.420479774f, 0.42105186f, 0.423120499f, 0.423616856f, 0.42364037f, 0.426304787f, 0.426861763f, 0.426937699f, 0.427471101f, 0.429519564f, 0.430299103f, 0.430716574f, 0.430744112f, 0.433376253f, 0.433576405f, 0.434082448f, 0.4360255f, 0.436554253f, 0.436659515f, 0.437418163f, 0.437671065f, 0.439798117f, 0.440726876f, 0.440970153f, 0.442683101f, 0.443081558f, 0.443178833f, 0.444082648f, 0.446037352f, 0.446426153f, 0.446456701f, 0.447482944f, 0.447910607f, 0.449765682f, 0.452649415f, 0.452983558f, 0.454646707f, 0.456361353f, 0.456635594f, 0.457348585f, 0.457897484f, 0.459276497f, 0.459733188f, 0.460616112f, 0.462634921f, 0.464458346f, 0.465919912f, 0.466372132f, 0.466830075f, 0.467554271f, 0.469855964f, 0.47048372f, 0.470763624f, 0.473056972f, 0.474089295f, 0.474142969f, 0.474375427f, 0.476632059f, 0.477535635f, 0.477663815f, 0.48020348f, 0.481034994f, 0.481259465f, 0.483713269f, 0.484640956f, 0.484659016f, 0.486842453f, 0.487244487f, 0.488161743f, 0.488270402f, 0.490778506f, 0.491592765f, 0.494310021f, 0.497954696f, 0.498687059f, 0.498817623f, 0.500946999f, 0.50218749f, 0.502598405f, 0.50437808f, 0.505311608f, 0.506248951f, 0.508971691f, 0.50966835f, 0.512681603f, 0.51340723f, 0.513729692f, 0.513875127f, 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44.428669f, 44.5319901f, 45.6495056f, 46.4197617f, 47.8400574f, 48.9985123f, 50.6119118f, 50.7787857f, 51.1051712f, 52.0277481f, 55.3171959f, 56.0257721f, 56.6937943f, 56.8863373f, 58.3802185f, 59.0007706f, 59.3090744f, 59.8622513f, 61.3735275f, 63.6543579f, 64.4841309f, 66.2762604f, 66.7646484f, 68.6398621f, 69.4109192f, 70.875824f, 71.8158646f, 72.8860626f, 73.8914413f, 74.1227341f, 74.9132919f, 78.3955231f, 81.3055267f, 82.3107452f, 83.7455215f, 85.9311295f, 86.9824677f, 92.1649628f, 92.7221375f, 96.3897552f, 100.622986f, 101.475723f, 102.121246f, 109.900879f, 110.302795f, 110.374542f, 116.426666f, 135.204224f, 137.373199f, 138.620087f, 142.563263f, 175.933868f, 182.498657f, 184.218414f, 0.0253548436f, 0.378987819f, 2.11399937f, 2.4523468f, 2.58045769f, 2.82923031f, 4.34367943f, 4.34995317f, 4.40199709f, 5.17216587f, 5.29424143f, 5.90917873f, 6.06482601f, 6.4826746f, 6.53988266f, 6.59853172f, 6.61047268f, 6.92442322f, 6.95496082f, 7.05388165f, 7.07196617f, 7.18129921f, 7.28272295f, 7.29060793f, 7.34750509f, 7.35128975f, 7.36566973f, 7.39517546f, 7.41577959f, 7.44393778f, 7.45294189f, 7.49695587f, 7.52228165f, 7.54231834f, 7.54650688f, 7.56561279f, 7.57635593f, 7.596035f, 7.60552406f, 7.60950994f, 7.62974739f, 7.65275669f, 7.65306091f, 7.65532303f, 7.66784859f, 7.66949177f, 7.67130136f, 7.68365002f, 7.68899822f, 7.69335556f, 7.69435692f, 7.6943903f, 7.69516659f, 7.69620943f, 7.69682217f, 7.69775677f, 8.88119125f, 8.98204803f, 9.28663445f, 9.43391514f, 9.65859222f, 10.8707952f, 11.659708f, 12.477725f, 12.8116989f, 13.636755f, 14.2232723f, 14.2418699f, 14.3870239f, 14.5936203f, 15.4802914f, 16.0726242f, 16.6189651f, 16.7818489f, 16.9183083f, 17.0512047f, 17.5674438f, 17.7123451f, 19.0203743f, 19.1068668f, 19.2481251f, 19.5979424f, 20.0263901f, 20.3574791f, 20.570919f, 20.7517071f, 22.9229965f, 23.4890766f, 23.5832634f, 25.0960693f, 25.4373131f, 25.6681747f, 26.1748734f, 26.5611458f, 27.1386795f, 27.269249f, 27.6135693f, 27.7115936f, 27.9357452f, 28.0447884f, 28.3307457f, 28.4101753f, 29.1748028f, 29.6808167f, 30.0369072f, 30.185318f, 30.3999424f, 30.4666443f, 30.6105232f, 30.7408638f, 30.7443581f, 31.1921043f, 32.2393112f, 34.3081093f, 36.9693756f, 37.3114624f, 38.3062401f, 39.5527382f, 39.728035f, 40.4580536f, 42.4824677f, 42.7679787f, 46.0090294f, 46.4080811f, 48.2835236f, 52.157486f, 63.8839722f, 68.3574524f, 69.5306702f, 73.2926178f, 74.3998108f, 82.5254669f, 83.6983795f, 94.1000366f, 94.3240204f, 95.2328491f, 115.304321f, 115.780235f, 116.289299f, 119.305252f, 0.0253548436f, 0.385180414f, 1.10970414f, 1.75331759f, 1.8910296f, 2.56816244f, 2.70840883f, 3.18928242f, 3.23455f, 3.2951982f, 3.80812311f, 4.16245747f, 4.85737514f, 4.91953802f, 5.1019125f, 5.32372856f, 5.36865711f, 5.69755173f, 5.79963017f, 5.87543058f, 6.14232731f, 6.49178028f, 6.5141058f, 6.80664682f, 6.88507557f, 6.90329647f, 6.9694705f, 6.98876286f, 7.0708704f, 7.14958572f, 7.21464729f, 7.26138306f, 7.27681446f, 7.33270407f, 7.42354679f, 7.44302082f, 7.45729828f, 7.46154785f, 7.51037693f, 7.51138973f, 7.51508331f, 7.55729008f, 7.57390833f, 7.61628246f, 7.61906576f, 7.62138939f, 7.62987471f, 7.65179634f, 7.66139603f, 7.66246748f, 7.67106819f, 7.67627144f, 7.68839073f, 7.68913746f, 7.69111538f, 7.6955533f, 7.69775677f, 9.91620445f, 10.3190031f, 11.2701101f, 11.7542791f, 12.611227f, 12.8086872f, 12.9916229f, 13.1217766f, 13.2908907f, 13.432806f, 13.4617653f, 13.4803982f, 13.9844151f, 14.1803665f, 14.3489895f, 14.7128325f, 15.4460697f, 15.6343384f, 17.0596504f, 17.0939064f, 17.5054855f, 17.9680138f, 18.7433701f, 18.8103752f, 18.8875866f, 19.2886467f, 19.4166679f, 19.4504776f, 19.5009804f, 19.5636559f, 19.7093945f, 20.2304535f, 20.2990189f, 20.5024681f, 20.7478409f, 20.9676247f, 22.0807419f, 22.1584015f, 22.2830029f, 22.5281563f, 22.5930595f, 22.6178856f, 23.3422775f, 24.0475159f, 24.5274315f, 24.7561569f, 25.3054218f, 25.3908844f, 25.5797234f, 26.7926579f, 27.2068787f, 27.6052666f, 27.6903534f, 28.0354023f, 28.2872047f, 28.3654022f, 28.6911392f, 29.5474815f, 29.6021004f, 29.7928543f, 29.836441f, 30.1134453f, 30.5293961f, 30.5578003f, 30.6927109f, 30.7676926f, 31.3443909f, 31.9965305f, 32.8044548f, 33.3996582f, 34.2702179f, 34.7903824f, 36.3931122f, 36.6637192f, 38.9335098f, 40.2611809f, 46.5961685f, 49.0360222f, 51.5325127f, 51.5772896f, 52.1556778f, 54.6788177f, 57.6691284f, 58.6258163f, 61.2100677f, 62.8933258f, 67.7491455f, 70.7035065f, 73.4524078f, 74.9827118f, 76.1894226f, 82.0686493f, 82.5635529f, 83.431221f, 86.6269531f, 93.9523315f, 94.947052f, 98.9199371f, 114.828789f, 116.876945f, 119.878128f, 120.377701f, 125.005737f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 9.5f, 11.5f, 13.5f, 16.f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 9.5f, 10.5f, 11.5f, 14.5f, 16.5f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 8.5f, 9.5f, 11.5f, 12.5f, 13.5f, 14.5f, 15.5f, 18.5f}; + + /* Aggregated array of leaf values for trees. Each tree is represented by a separate line: */ + double LeafValues[156128] = { + -0.5581017988110142, -0.2766980549376162, -0.5321701700863254, 0.08902051756653961, -0.4539998827616936, -0.1646664435720078, -0.4563366691673927, 0.248027540757655, -0.5388564838741634, -0.3260982691778411, -0.7823115657996708, -0.1263117425316325, -0.5409192012932853, -0.1449947245949142, -0.7114793191850454, -0.05551587563523358, -0.4907749154152526, -0.3751512163005325, -0.4169981073299702, -0.2834366430261619, -0.4382036012615478, -0.1408407842401065, -0.1624078919241701, 0.3379494474636802, -0.5681996324772328, -0.399615487855753, -0.5847517629341158, -0.4776086023879935, -0.4219984034639185, -0.1497350667252055, -0.4512257683558415, -0.006002937384205164, + -0.4545100480762415, -0.2010618382396505, -0.4715162495510433, 0.09447589562434001, -0.3755917839518531, -0.1114472393884845, -0.4011154045586527, 0.1959839472931578, -0.5043407820260561, -0.2636891291258376, -0.7076104898476225, 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-0.2662042136234256, -0.1209786321312003, -0.3203286569395158, -0.08546820105604523, -0.1229266073573868, 0.09324634316438223, + -0.2355883367465355, -0.03780450986858853, 0, 0, -0.3452038081835148, -0.2663251946165405, 0, 0, 0, 0, 0, 0, -0.2072863854501236, -0.07924088302438305, -0.2044419042803862, -0.03399077690220471, -0.1281468710670038, 0.1901193685447171, 0, 0, -0.4637938876917876, -0.3265729937838291, 0, 0, 0, 0, 0, 0, -0.257885215887067, -0.0127478046188103, -0.07963541662191413, 0.2028328659831773, + -0.2037274594729419, -0.1221499142973455, -0.1419426138055527, -0.02754043368624631, -0.2140717791154861, -0.1699969448811484, -0.1842787066241582, -0.05346593643341664, -0.2262476119688639, 0.01658783260672511, -0.1262431042802826, 0.1728671761232601, -0.1048317562186068, -0.2164830749030989, 0.1544297822917013, 0.2330917580068329, -0.2719468247384488, -0.1732189458597485, -0.1735924874051695, -0.04635710157864677, -0.372824039163956, -0.3241103488372947, -0.1617529760863384, 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-0.005443928797398117, -0.03778469122552346 + }; + double Scale = 1; + double Bias = 0; +} CatboostModel_RGA_inbending_pass2Static; + +/* Model applicator */ +double ApplyCatboostModel_RGA_inbending_pass2( + const std::vector& features +) { + const struct CatboostModel_RGA_inbending_pass2& model = CatboostModel_RGA_inbending_pass2Static; + + /* Binarise features */ + std::vector binaryFeatures(model.BinaryFeatureCount); + unsigned int binFeatureIndex = 0; + for (unsigned int i = 0; i < model.FloatFeatureCount; ++i) { + for(unsigned int j = 0; j < model.BorderCounts[i]; ++j) { + binaryFeatures[binFeatureIndex] = (unsigned char)(features[i] > model.Borders[binFeatureIndex]); + ++binFeatureIndex; + } + } + + /* Extract and sum values from trees */ + double result = 0.0; + const unsigned int* treeSplitsPtr = model.TreeSplits; + const double* leafValuesForCurrentTreePtr = model.LeafValues; + for (unsigned int treeId = 0; treeId < model.TreeCount; ++treeId) { + const unsigned int currentTreeDepth = model.TreeDepth[treeId]; + unsigned int index = 0; + for (unsigned int depth = 0; depth < currentTreeDepth; ++depth) { + index |= (binaryFeatures[treeSplitsPtr[depth]] << depth); + } + result += leafValuesForCurrentTreePtr[index]; + treeSplitsPtr += currentTreeDepth; + leafValuesForCurrentTreePtr += (1 << currentTreeDepth); + } + return model.Scale * result + model.Bias; +} + +double ApplyCatboostModel_RGA_inbending_pass2( + const std::vector& floatFeatures, + const std::vector& +) { + return ApplyCatboostModel_RGA_inbending_pass2(floatFeatures); +} + + +// clang-format on \ No newline at end of file diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_outbending_pass1.cpp b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_outbending_pass1.cpp new file mode 100644 index 00000000..c73d6a72 --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_outbending_pass1.cpp @@ -0,0 +1,5064 @@ +// clang-format off + +#include +#include + +/* Model data */ +static const struct CatboostModel_RGA_outbending_pass1 { + unsigned int FloatFeatureCount = 45; + unsigned int BinaryFeatureCount = 12645; + unsigned int TreeCount = 5000; + unsigned int TreeDepth[5000] = {5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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525, 10985, 10885, 2271, 30, 12211, 11056, 11073, 2006, 7374, 6531, 4459, 3575, 1830, 3461, 4444, 3418, 4149, 1778, 7582, 4898, 6782, 5086, 1169, 726, 4769, 3804, 525, 2308, 10373, 2473, 52, 11944, 11101, 981, 4685, 3588, 3480, 690, 7426, 4887, 1355, 687, 6906, 1655, 8956, 5903, 7, 7070, 10770, 12086, 1253, 11145, 6900, 7599, 6491, 1407, 5217, 5064, 12632, 1748, 9349, 10695, 4934, 12606, 9190, 10963, 9060, 10812, 4841, 1918, 5832, 6707, 4989, 11210, 3374, 2403, 3470, 4689, 11896, 2450, 868, 5237, 140, 878, 1727, 2670, 1509, 4715, 6115, 7997, 8479, 7042, 5657, 12634, 12618, 12620, 3510, 4562, 12632, 9633, 140, 1086, 9063, 10494, 10711, 3220, 5262, 9190, 3047, 7149, 5750, 8879, 5926, 10735, 10729, 12514, 3303, 2275, 6672, 5574, 268, 5348, 7792, 10722, 7266, 5578, 3456, 4675, 726, 2081, 3843, 4769, 532, 11459, 8260, 864, 222, 5564, 10267, 10270, 986, 9221, 68, 3333, 1855, 12539, 10138, 11086, 11840, 8496, 2621, 7117, 5912, 3960, 7498, 4367, 419, 5380, 9439, 4258, 2384, 3643, 7752, 878, 12077, 12208, 6097, 3928, 12306, 10755, 10341, 61, 1023, 6770, 5484, 401, 5276, 7819, 7551, 9929, 5018, 5180, 676, 6545, 9246, 10458, 5253, 9855, 10373, 10634, 2028, 9529, 940, 12603, 4820, 6722, 4844, 2570, 9566, 10038, 5152, 9388, 3484, 5733, 7135, 6201, 6712, 12617, 3308, 5662, 7818, 243, 7557, 12632, 5885, 5823, 8016, 726, 7403, 6191, 1140, 4330, 9924, 7200, 7295, 6305, 6228, 7973, 12603, 5813, 6717, 4929, 7058, 12194, 11351, 5466, 3713, 291, 9626, 3871, 1698, 770, 4721, 2456, 5690, 4066, 3993, 8287, 7099, 6168, 7767, 1475, 4867, 8369, 4579, 3656, 1806, 2539, 2451, 11139, 4102, 3733, 10651, 6972, 2734, 11650, 3514, 5965, 10309, 9132, 12013, 5799, 9172, 4629, 1663, 9405, 5567, 5814, 10776, 4561, 172, 3652, 1072, 11142, 8358, 2332, 12602, 6787, 2447, 10705, 10115, 10398, 7913, 12250, 12506, 1702, 12108, 7008, 11105, 12238, 9815, 9060, 11565, 10451, 10877, 9151, 11737, 12602, 2723, 8915, 5044, 6643, 8346, 606, 12632, 6500, 2576, 927, 4607, 10944, 10819, 3680, 3450, 3212, 9661, 8158, 8811, 3455, 9421, 2305, 3870, 9778, 11310, 9653, 11737, 1263, 10852, 3421, 2455, 7348, 6099, 2979, 9823, 12321, 5460, 4106, 9768, 11113, 1542, 696, 4873, 10896, 11739, 2455, 8378, 6276, 2569, 12602, 2995, 9062, 9863, 2373, 9775, 3790, 838, 8545, 1919, 12349, 9028, 6496, 12632, 8027, 9226, 6488, 11924, 4993, 12602, 9276, 834, 2786, 11277, 3924, 9322, 11224, 2466, 12524, 895, 4561, 3148, 3155, 12602, 6759, 372, 12028, 10865, 11531, 9863, 4973, 12405, 8473, 9645, 4155, 6825, 12266, 9702, 10687, 2176, 10164, 4326, 10909, 9068, 10812, 12602, 4563, 3219, 3652, 1800, 3509, 8357, 4915, 11899, 11296, 11747, 6369, 11338, 6065, 8249, 11275, 8898, 8482, 7336, 8590, 974, 8905, 278, 5952, 7917, 6062, 12252, 10783, 9340, 3264, 12602, 9997, 4184, 7199, 9692, 10351, 12387, 1412, 8077, 5884, 12603, 8471, 5016, 6727, 11564, 5834, 1630, 9989, 8285, 11917, 5589, 12347, 11971, 3966, 10830, 1221, 8363, 9589, 11875, 6459, 12021, 8960, 11148, 12370, 848, 6617, 9992, 8809, 2958, 10570, 2222, 8194, 4061, 10483, 7937, 8462, 8909, 2083, 12629, 7442, 6184, 12323, 3050, 4357, 3834, 6054, 12619, 6231, 12602, 6633, 172, 4531, 155, 3603, 3485, 1753, 7687, 12092, 7392, 6554, 12615, 8482, 11485, 6992, 1056, 5407, 7238, 12629, 946, 8138, 10819, 9624, 9997, 8187, 8592, 10340, 606, 1862, 3755, 4698, 3581, 7929, 11373, 11913, 10952, 11632, 6355, 9440, 2919, 12478, 12156, 7687, 122, 3113, 5077, 12630, 8460, 6720, 12602, 322, 5275, 6323, 1527, 12205, 2982, 11658, 834, 4801, 3711, 12029, 12602, 9624, 8653, 11808, 10199, 3648, 1630, 12257, 8620, 12367, 11789, 12631, 7432, 8034, 3793, 5917, 11375, 871, 2373, 11293, 12222, 6981, 8491, 11384, 8800, 12630, 10119, 8105, 7452, 6164, 10456, 12468, 7390, 11668, 4318, 9304, 7101, 10713, 12631, 153, 6059, 634, 5538, 8375, 2138, 3559, 7400, 1079, 7620, 3490, 5866, 12632, 12617, 12603, 8705, 11747, 4583, 12602, 12616, 1295, 8077, 11974, 11224, 12412, 3217, 12615, 9609, 10, 4546, 12538, 7827, 10597, 10506, 5842, 2294, 11811, 713, 1033, 1936, 7749, 12602, 9127, 9144, 6895, 4988, 12630, 9650, 11276, 858, 2164, 3832, 2737, 3305, 5560, 3294, 2207, 3335, 1950, 1044, 3136, 665, 768, 4072, 3402, 1120, 2504, 10748, 3327, 2882, 11055, 361, 2924, 3327, 530, 1397, 623, 3335, 10469, 6376, 1946, 5386, 10699, 2725, 3335, 7196, 8401, 11470, 2466, 7401, 7045, 848, 7683, 6179, 12338, 1134, 253, 7238, 2451, 8908, 11276, 4677, 8960, 9969, 6852, 510, 5462, 10542, 6535, 12083, 1318, 5103, 4626, 1661, 1800, 3740, 740, 10740, 3323, 2898, 1263, 5145, 4332, 11243, 2367, 3986, 1379, 8213, 4102, 12616, 4983, 3509, 11466, 10403, 6620, 5480, 267, 11847, 3247, 8853, 5789, 5026, 8457, 7881, 5150, 7801, 5881, 7406, 1956, 9419, 838, 3900, 9030, 7473, 119, 5531, 5165, 7683, 5601, 708, 5337, 5132, 6506, 8331, 5567, 404, 5291, 1630, 253, 3113, 1177, 4703, 6850, 7232, 4978, 3169, 3529, 8640, 817, 10106, 2056, 9060, 10485, 10169, 9070, 2908, 9144, 9938, 1744, 3539, 4525, 736, 2725, 2662, 1238, 2156, 3450, 3335, 1744, 7230, 5624, 7442, 4815, 3357, 3407, 6715, 1452, 50, 11770, 979, 10812, 2164, 7689, 11082, 5601, 1531, 6651, 11217, 4406, 1645, 3440, 5624, 12606, 5026, 5016, 9345, 6597, 6981, 9958, 3983, 4699, 12616, 853, 12097, 293, 1970, 5188, 844, 2878, 9720, 9167, 10254, 768, 3991, 2809, 1585, 1757, 2725, 3305, 3257, 779, 4930, 4796, 12073, 823, 3859, 1617, 10740, 10307, 455, 1295, 3113, 2510, 6309, 8145, 6245, 5831, 4058, 4245, 3362, 3436, 3479, 119, 1723, 2468, 891, 7442, 6935, 7506, 5511, 5282, 133, 7238, 7786, 942, 5132, 417, 6554, 6451, 10622, 10, 5543, 8360, 8721, 5160, 4921, 1990, 8546, 7233, 3882, 6030, 8034, 12632, 5936, 3500, 1711, 3388, 4588, 3505, 3474, 4419, 250, 2924, 3331, 66, 9182, 9801, 8623, 6295, 5854, 6249, 7141, 8457, 7926, 2468, 1731, 6709, 8770, 12630, 4930, 5970, 2470, 6850, 5871, 5786, 7168, 3519, 3050, 8988, 12631, 4942, 6300, 12632, 9123, 9112, 1867, 5059, 853, 7297, 708, 4776, 3594, 844, 2447, 871, 41, 3505, 2510, 1466, 1723, 4945, 732, 7406, 1956, 1013, 3440, 4129, 4489, 10952, 11689, 3594, 3426, 12404, 4061, 9051, 6410, 8576, 8640, 21, 5393, 6488, 7694, 8960, 12180, 2310, 10812, 11902, 6858, 7503, 5095, 5357, 591, 2725, 11540, 963, 1718, 9296, 6936, 2888, 5617, 7664, 3563, 768, 5987, 5862, 7940, 1445, 10708, 11078, 10043, 4150, 5361, 631, 1503, 4877, 7758, 6877, 4815, 8780, 5802, 5960, 6710, 11466, 8075, 5633, 10812, 11618, 10909, 10920, 10906, 4939, 2164, 9938, 417, 1284, 1998, 2639, 5457, 5433, 2077, 3305, 3315, 853, 11798, 12097, 11105, 5580, 4796, 6158, 3981, 1562, 812, 11217, 16, 11643, 11955, 2565, 11913, 6526, 838, 5145, 1120, 11439, 10909, 10920, 11710, 10812, 6935, 740, 5231, 5123, 7702, 6648, 6189, 5467, 316, 5179, 7206, 4208, 2098, 3850, 2591, 8360, 12617, 4958, 2740, 3495, 11913, 11329, 2734, 3613, 4710, 7683, 1213, 5016, 12616, 5174, 8213, 5661, 2781, 1013, 2356, 9969, 7236, 2658, 3417, 5361, 9030, 9437, 1990, 838, 1856, 12260, 12507, 9390, 2297, 2470, 2924, 4013, 2451, 599, 3190, 11847, 9634, 4515, 5035, 12630, 4033, 4135, 4024, 988, 3260, 3, 6666, 6451, 10719, 12142, 1630, 3509, 8598, 8664, 2935, 844, 5256, 4978, 3378, 6771, 47, 8926, 3014, 8869, 886, 7455, 8582, 3485, 1747, 4215, 10740, 3319, 2250, 3305, 9872, 979, 9576, 12559, 7509, 213, 2725, 2679, 1303, 4942, 5183, 10406, 10584, 1839, 9520, 9148, 853, 8174, 8967, 6446, 6903, 7338, 7661, 5231, 12631, 411, 11225, 2466, 9526, 10608, 10044, 4815, 3362, 3407, 2517, 6715, 10541, 10525, 5001, 5011, 3388, 10485, 10169, 9075, 2905, 9827, 8623, 1452, 585, 5318, 6877, 8640, 21, 2874, 5035, 5169, 2207, 8446, 5035, 7194, 6054, 10155, 3886, 2432, 5511, 4382, 7786, 5943, 5709, 4114, 5114, 2706, 3335, 6633, 5054, 3568, 3797, 1919, 11302, 11360, 4641, 6126, 257, 5999, 8024, 5345, 11466, 9970, 7900, 5202, 4176, 3247, 4753, 3622, 791, 3509, 4013, 4168, 2363, 5493, 3882, 4801, 830, 3729, 2062, 1558, 4065, 10149, 9958, 6648, 1569, 4804, 3257, 12483, 11159, 5256, 2802, 4180, 3362, 3431, 2034, 1645, 3131, 1131, 4930, 3529, 7683, 9448, 5607, 606, 1229, 3050, 11014, 10865, 5361, 12223, 6850, 510, 5460, 5261, 7836, 12606, 12620, 11059, 10240, 1085, 12632, 12604, 3455, 12605, 6709, 7238, 2427, 10725, 3268, 1091, 10708, 3998, 11966, 3208, 5236, 12201, 11572, 2546, 3164, 1013, 919, 4873, 6725, 7437, 12616, 9991, 4186, 9176, 900, 10235, 853, 9317, 10653, 5753, 5978, 2725, 830, 1609, 3677, 1797, 10485, 3335, 9624, 10185, 9308, 3369, 3362, 4309, 5140, 3393, 3340, 1744, 3539, 4474, 736, 6936, 4069, 3964, 2383, 1313, 7683, 11069, 4088, 12629, 232, 768, 4780, 5282, 3709, 1269, 4804, 830, 6648, 5095, 1429, 8546, 9847, 5646, 9172, 2264, 8623, 3668, 6355, 7186, 2239, 8805, 2938, 2289, 1379, 4930, 10727, 10311, 6459, 7114, 9228, 380, 1265, 9890, 9854, 2027, 10708, 9251, 9182, 2339, 3208, 8835, 6509, 5633, 335, 5303, 7786, 8256, 11749, 11066, 1333, 6936, 10556, 2888, 9338, 5331, 979, 984, 213, 1039, 107, 2874, 2859, 2253, 518, 3285, 3247, 8853, 5709, 7653, 4158, 6850, 4198, 3722, 1133, 3469, 11780, 649, 1503, 10909, 2720, 12387, 12577, 3445, 4283, 3397, 1678, 9402, 10668, 11497, 10894, 8638, 11773, 9638, 11455, 5789, 12346, 3378, 11965, 11055, 5063, 10334, 9228, 7775, 9127, 5123, 10485, 8003, 9264, 1741, 3505, 4626, 3529, 3479, 4436, 582, 1862, 3962, 768, 1106, 4670, 7406, 7448, 1503, 6892, 4896, 3797, 327, 4699, 1193, 560, 4815, 1566, 2539, 1704, 3464, 6126, 2460, 7883, 3219, 8846, 12253, 12159, 8244, 1684, 7646, 47, 6725, 5529, 316, 5342, 12632, 919, 425, 10856, 11700, 9938, 4168, 4028, 5624, 8410, 4058, 4477, 11843, 3247, 2451, 8360, 8721, 4829, 3056, 3509, 12592, 9949, 10439, 4539, 9104, 11268, 4262, 9332, 3393, 3436, 6981, 942, 949, 5554, 3440, 9423, 4088, 1005, 3417, 1936, 10385, 11503, 10894, 10939, 5026, 10406, 2437, 9881, 6548, 9218, 1813, 1825, 2938, 133, 1097, 919, 1718, 2639, 8310, 5318, 12410, 10431, 4572, 3505, 3445, 1862, 3755, 4203, 3568, 4551, 4013, 9382, 5611, 4720, 2460, 8623, 8635, 9819, 11173, 9060, 2987, 1259, 661, 2360, 3703, 876, 2934, 172, 240, 5109, 768, 11751, 10865, 10812, 4973, 6858, 4069, 11787, 2406, 3673, 979, 971, 47, 12223, 10962, 4796, 2356, 3883, 4772, 759, 1757, 10582, 3388, 4950, 3469, 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2775, 4332, 3652, 5372, 11217, 2961, 1242, 634, 5327, 9943, 10439, 9102, 3631, 6206, 119, 2935, 2058, 4295, 3495, 7110, 6461, 1602, 4780, 1990, 12346, 10812, 971, 8108, 8969, 12317, 12299, 6109, 12557, 3215, 12260, 998, 7476, 6720, 2481, 768, 5219, 6942, 7422, 4894, 7516, 267, 5433, 5155, 6592, 4815, 8373, 2533, 6715, 12602, 2169, 2150, 5450, 11570, 11011, 7786, 3924, 5692, 4088, 2300, 5550, 6748, 304, 5368, 7779, 823, 10157, 3886, 1970, 4448, 11969, 3991, 10909, 1033, 5040, 4804, 3715, 5655, 3027, 8709, 853, 1915, 3514, 4512, 3464, 1757, 7079, 5842, 4945, 6709, 6554, 1889, 4993, 365, 5107, 10155, 9452, 2470, 2487, 895, 2924, 7055, 9964, 10224, 9176, 11439, 1144, 263, 183, 1044, 10701, 9251, 9182, 1335, 3182, 606, 5550, 5261, 7547, 6765, 7689, 5450, 4231, 5085, 5819, 10727, 10723, 10269, 3247, 2253, 6126, 8790, 229, 7604, 5596, 2725, 8739, 12630, 7422, 6291, 3146, 3155, 1282, 3113, 2102, 11479, 4061, 7422, 5109, 8690, 8729, 2555, 5256, 8291, 6688, 844, 9698, 9172, 10164, 5802, 3219, 4758, 3350, 400, 1284, 119, 935, 183, 1082, 2501, 3, 900, 304, 345, 998, 2987, 881, 2164, 2679, 4211, 7406, 5738, 1974, 3758, 4304, 1813, 3388, 3373, 4324, 3421, 3335, 2710, 8144, 8897, 10492, 2803, 1657, 1640, 3219, 3599, 8213, 5661, 6926, 1545, 7781, 7206, 11689, 10952, 11696, 4907, 823, 7468, 6908, 1590, 4885, 10996, 10952, 5244, 5030, 11588, 755, 1576, 4907, 6930, 7422, 7683, 8098, 8167, 6288, 5077, 8546, 6331, 2805, 8646, 8378, 7249, 5667, 8447, 527, 7661, 4804, 11259, 3718, 1956, 1581, 6627, 8102, 2466, 3576, 4551, 3050, 8988, 12631, 4942, 2470, 7015, 5758, 12617, 6904, 7343, 7206, 2447, 4013, 6128, 4264, 1862, 10124, 4344, 3421, 3393, 8456, 8035, 6032, 7098, 253, 2874, 2888, 5450, 3709, 4641, 12620, 12605, 8136, 12603, 7946, 720, 4069, 5215, 5445, 7558, 5550, 5567, 6809, 380, 5365, 7689, 8901, 127, 5318, 12630, 6850, 4855, 2280, 12616, 7650, 5550, 172, 7455, 1069, 2027, 6406, 8117, 8578, 8173, 5965, 7287, 12024, 4863, 6819, 12616, 11969, 858, 2133, 11121, 115, 12294, 9920, 3834, 4173, 5419, 11217, 16, 900, 919, 213, 8870, 2112, 5493, 4211, 3703, 1862, 11304, 11885, 9182, 10229, 11466, 3096, 886, 7128, 5044, 10759, 1284, 466, 3095, 5398, 10385, 10802, 10642, 2447, 9893, 12606, 7227, 8317, 7309, 6272, 12635, 3872, 5834, 2498, 11598, 8457, 12603, 6496, 4416, 5026, 349, 3751, 4691, 3529, 3431, 3335, 1836, 823, 4801, 3636, 11777, 1609, 3986, 4801, 10970, 11385, 9766, 9060, 11080, 2356, 720, 4776, 9705, 9144, 10247, 3335, 12192, 9470, 8431, 10274, 10194, 11500, 7430, 11395, 6466, 12346, 12483, 3255, 11125, 11777, 631, 1487, 3431, 5054, 4205, 3335, 2538, 1477, 1952, 3383, 4796, 6158, 12106, 2957, 3983, 349, 876, 263, 3857, 979, 10541, 7424, 12108, 6903, 1551, 7394, 5968, 5001, 12630, 7861, 2924, 2242, 9874, 3164, 9201, 8414, 2470, 6309, 5327, 1886, 9943, 4123, 4024, 5721, 8392, 2802, 4069, 6912, 4983, 732, 11439, 8936, 7341, 2447, 1104, 11225, 3736, 2250, 4767, 747, 3335, 11387, 7330, 2903, 1309, 10563, 2305, 10608, 10368, 10013, 1862, 4699, 2605, 3694, 3495, 10406, 9495, 10033, 2356, 9695, 9969, 11419, 8998, 7700, 10662, 10553, 9939, 9325, 2812, 4958, 574, 1445, 5252, 6858, 5381, 2725, 7452, 6696, 1728, 4973, 8213, 6325, 163, 6260, 7282, 7516, 6660, 3041, 8714, 5287, 7689, 5449, 6616, 12631, 361, 6406, 4386, 3883, 2191, 5449, 4058, 4205, 7208, 2466, 3701, 2014, 5402, 3529, 4527, 422, 3335, 1950, 10802, 9071, 9501, 11862, 9601, 10041, 11192, 5603, 844, 2432, 9872, 9158, 10088, 3335, 900, 12631, 6852, 4968, 7786, 1366, 5261, 5137, 6797, 538, 1402, 3113, 5554, 2141, 8770, 1188, 7631, 5099, 5308, 516, 1381, 615, 2935, 2294, 349, 3751, 2129, 4641, 1193, 3291, 8949, 5095, 8823, 10728, 10485, 10677, 8772, 3141, 5030, 10384, 11514, 11807, 11383, 5514, 10701, 5621, 9379, 9669, 10055, 1862, 433, 4362, 3485, 3436, 3924, 4455, 886, 2360, 3534, 1645, 4695, 3568, 5874, 1922, 3335, 1950, 1001, 685, 2957, 8360, 6054, 10256, 2032, 6710, 12592, 4796, 3287, 6963, 1640, 4896, 11799, 1566, 11963, 11128, 4409, 6488, 5006, 3589, 1708, 802, 1606, 3383, 2557, 2941, 4804, 3257, 11791, 3986, 10974, 3464, 3469, 4483, 2004, 3407, 3335, 1950, 7230, 8043, 1309, 768, 1590, 3431, 4485, 3500, 3340, 1711, 3509, 4192, 3417, 1645, 6476, 514, 5502, 5169, 12608, 12635, 3568, 5847, 4691, 3335, 6987, 5550, 2423, 971, 1622, 1678, 3554, 3119, 4659, 3335, 3025, 1711, 5786, 2754, 10334, 6432, 7727, 8640, 411, 12251, 12167, 12164, 8244, 5766, 3335, 8102, 6578, 4968, 4978, 8628, 4252, 11260, 12536, 6488, 3464, 4326, 3544, 5265, 4614, 7852, 1441, 5165, 5049, 6842, 7015, 5874, 6927, 5789, 1487, 1542, 701, 3397, 5001, 2935, 3335, 12147, 8401, 6970, 8718, 7852, 9214, 4231, 5322, 12630, 10542, 9638, 11265, 11876, 4190, 6406, 10672, 1158, 9313, 1990, 2802, 1657, 1640, 3244, 12482, 12632, 1376, 507, 3067, 5368, 12294, 3215, 12474, 12616, 2315, 12404, 6472, 5611, 2470, 169, 9423, 12276, 6161, 8379, 867, 853, 7284, 6433, 8604, 3500, 6446, 5866, 7848, 1048, 4180, 6126, 4626, 10973, 10812, 3603, 1757, 2571, 1347, 4958, 755, 4796, 12592, 2891, 6965, 1661, 7110, 5983, 84, 6074, 7039, 4845, 12631, 6755, 7079, 12616, 7516, 2460, 1598, 2785, 4963, 2987, 9060, 9819, 2562, 4507, 2725, 12329, 9345, 10518, 8413, 10701, 6569, 4921, 3393, 335, 3335, 12192, 9470, 10321, 1128, 8870, 696, 1531, 3402, 4790, 12213, 2715, 5696, 11217, 2442, 8431, 290, 4945, 2898, 8557, 11439, 3046, 900, 8717, 2164, 10326, 2004, 4723, 3572, 791, 3335, 1950, 6578, 4968, 3469, 3335, 1950, 3116, 3460, 3393, 8443, 6513, 9614, 876, 5107, 7786, 8279, 4832, 4845, 6733, 4815, 8794, 2855, 5802, 6710, 4896, 12017, 10860, 12616, 6710, 7206, 12619, 5778, 8368, 3495, 631, 1490, 3110, 2720, 1813, 2802, 9497, 10210, 9515, 2246, 10612, 7257, 10337, 4096, 9913, 12387, 12380, 1684, 11211, 3916, 6143, 1044, 7464, 5202, 6544, 606, 1453, 3148, 2697, 2146, 9938, 404, 7595, 5303, 12630, 11780, 674, 1518, 10896, 779, 538, 1402, 2747, 5090, 3460, 6935, 9270, 3594, 12603, 4691, 3335, 6844, 1352, 7747, 5345, 606, 2414, 1340, 3877, 4264, 3077, 3064, 10992, 10872, 2264, 7206, 7871, 5696, 4723, 5701, 12294, 9924, 6212, 9803, 4224, 3164, 2905, 2138, 530, 1295, 10563, 6684, 10414, 11404, 863, 10036, 9878, 2383, 9495, 9201, 10384, 10376, 4084, 9920, 2164, 10787, 10027, 7538, 8219, 3639, 823, 10106, 4150, 1256, 5571, 7394, 1735, 3709, 4646, 3554, 3335, 2510, 10809, 9368, 10513, 380, 1265, 3224, 1306, 433, 4033, 12131, 10812, 11726, 10890, 3335, 3331, 8489, 2911, 1265, 1523, 678, 4879, 5740, 5874, 7407, 7843, 3617, 5342, 12630, 5011, 5006, 3388, 2126, 1416, 3335, 9084, 9270, 5368, 4958, 7206, 11689, 10952, 10920, 689, 349, 876, 263, 3748, 4235, 2706, 1661, 1131, 5353, 572, 11913, 11282, 1635, 4397, 3722, 8805, 2938, 2289, 129, 1044, 2874, 221, 2866, 11758, 1177, 4013, 5256, 9398, 11870, 11334, 2014, 5402, 3305, 974, 7583, 9938, 4140, 10220, 9108, 9186, 7683, 6179, 12537, 942, 394, 9969, 4682, 1912, 3572, 736, 3335, 1836, 823, 4790, 3613, 3335, 1950, 6965, 9965, 7521, 4013, 2191, 4424, 2573, 2633, 3335, 11852, 11419, 7334, 377, 11905, 11289, 11761, 10812, 3775, 12632, 9327, 9123, 4958, 10194, 11385, 10097, 10348, 298, 1993, 4988, 4983, 6709, 527, 3469, 6773, 3113, 5011, 400, 5193, 2802, 3402, 12276, 3269, 5179, 3164, 3151, 1379, 4939, 2188, 3050, 9629, 8664, 7589, 3539, 8729, 3319, 2234, 5140, 8242, 4058, 4243, 21, 8350, 6513, 919, 9576, 11047, 12528, 9789, 8431, 7894, 5202, 5026, 7758, 10553, 2418, 4290, 3639, 11274, 5727, 7437, 4629, 4065, 7978, 3312, 440, 1298, 6839, 5457, 10748, 10758, 10335, 4075, 6917, 4033, 4200, 2367, 3568, 867, 853, 460, 356, 5202, 1013, 802, 5127, 6945, 5059, 7751, 3369, 4168, 3426, 400, 2037, 2802, 6353, 7163, 6279, 8157, 7407, 7455, 8961, 2468, 8241, 12606, 12627, 7941, 6651, 5983, 4483, 3485, 3445, 1990, 545, 3340, 2911, 11262, 9414, 11979, 1757, 3509, 4465, 747, 3455, 4626, 3519, 3743, 1771, 626, 3335, 1744, 895, 5044, 187, 4723, 2018, 3572, 455, 3417, 1645, 1650, 2626, 3581, 2938, 119, 3110, 3078, 1980, 1018, 2987, 1259, 661, 466, 1005, 1678, 9384, 6691, 7793, 5502, 1630, 3509, 4593, 3594, 4674, 3464, 4322, 1815, 3426, 3397, 10542, 9463, 3450, 6211, 9697, 10598, 10592, 8272, 4832, 4845, 8414, 12128, 2874, 2466, 5035, 10245, 10894, 9148, 11696, 5099, 10701, 8321, 5389, 8775, 3215, 8752, 8769, 5174, 4602, 7861, 4896, 922, 6725, 7500, 5824, 4815, 8371, 3362, 3407, 6710, 3340, 4767, 502, 1364, 2477, 9674, 5457, 4446, 3407, 3378, 6554, 4921, 3393, 12603, 5778, 284, 1177, 4988, 2470, 2102, 1678, 8007, 5845, 7152, 4993, 50, 9749, 9872, 2195, 9060, 11862, 27, 6668, 5672, 5499, 12253, 1453, 564, 12095, 11018, 6935, 4824, 8098, 4214, 5476, 119, 7658, 5603, 5438, 6544, 823, 6472, 8341, 5132, 4713, 9310, 863, 483, 9935, 5160, 7102, 8529, 1001, 5992, 425, 4033, 4021, 900, 11247, 11442, 8456, 8003, 1815, 5871, 2470, 12454, 5140, 7812, 4993, 3474, 12490, 11680, 12617, 5006, 10988, 2207, 2191, 4065, 7709, 12630, 2510, 8579, 1720, 4522, 3656, 11055, 11047, 1684, 4539, 3514, 3335, 1744, 5299, 8400, 8533, 4033, 4256, 5983, 397, 7151, 7102, 7998, 5107, 7655, 5967, 802, 1606, 4046, 2797, 5219, 2725, 8519, 12603, 12616, 8353, 12620, 12605, 7013, 6751, 12603, 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12294, 6105, 12209, 8207, 6459, 10385, 7329, 6194, 4915, 6710, 7369, 4198, 3393, 3431, 1771, 3345, 3172, 7165, 2043, 4749, 4945, 4954, 4968, 910, 6822, 8729, 7272, 6364, 9011, 3, 349, 6151, 8054, 1851, 5943, 1963, 11458, 1074, 7697, 5523, 12201, 11325, 11668, 5824, 5006, 6779, 11102, 11939, 10900, 3495, 6059, 8020, 7112, 5040, 7619, 9024, 204, 10299, 9167, 9273, 12606, 7227, 1250, 8143, 8883, 2207, 2218, 3509, 4542, 3440, 4723, 8231, 10633, 2322, 3631, 10196, 2146, 2652, 12223, 3505, 834, 6987, 1609, 1804, 4796, 7516, 6899, 5511, 5342, 639, 3981, 10665, 10328, 9687, 9390, 11862, 3231, 12549, 12422, 11367, 782, 4790, 5407, 2011, 3758, 4804, 9770, 1121, 5183, 7535, 606, 5035, 7812, 4963, 6830, 4409, 3937, 11597, 11042, 2264, 3981, 4069, 2410, 1229, 2947, 9609, 7025, 2792, 11765, 10852, 12497, 12490, 11663, 9624, 3305, 12629, 5511, 5483, 9354, 3988, 2706, 1661, 3164, 4256, 3514, 2510, 782, 1477, 1897, 5001, 1622, 6999, 4416, 3559, 3464, 3357, 4209, 3431, 3464, 2752, 3340, 2957, 2935, 1833, 2470, 4945, 4958, 4968, 7018, 5802, 12454, 4785, 8661, 787, 10917, 4804, 5589, 3715, 1761, 838, 2510, 55, 5727, 2294, 3260, 8431, 1039, 1998, 7709, 5393, 6936, 10909, 11776, 11704, 701, 2888, 11926, 11341, 6630, 10896, 10839, 3171, 10952, 11739, 1418, 12313, 11198, 2896, 5550, 3572, 4796, 2339, 7788, 10230, 5123, 8443, 6513, 9617, 858, 3469, 12039, 1259, 11189, 5573, 2239, 12612, 12628, 7272, 8156, 6364, 12637, 12610, 12605, 7151, 3888, 7249, 5667, 2850, 2437, 4441, 10406, 10752, 9612, 9789, 7468, 10563, 9242, 5123, 2850, 10533, 12632, 4741, 3677, 791, 1806, 3335, 1711, 900, 12631, 3086, 8640, 11439, 6179, 4065, 7322, 4801, 830, 3729, 3563, 1974, 3357, 2662, 3338, 5040, 4723, 740, 1573, 3373, 5318, 4382, 2706, 3305, 3295, 2377, 2234, 3315, 2250, 3305, 3285, 8819, 4804, 2191, 2102, 751, 5215, 10196, 10203, 1056, 9167, 93, 853, 5696, 9983, 3509, 2094, 10553, 11803, 11047, 3846, 10934, 10542, 7838, 11538, 11998, 10894, 3312, 4686, 3568, 2102, 724, 3335, 1744, 5368, 6509, 172, 3335, 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1112, 11829, 6268, 4180, 3761, 1928, 10155, 2809, 3955, 10812, 1622, 8628, 8634, 6959, 1970, 4758, 8357, 8347, 8921, 7457, 5613, 802, 4793, 3572, 4691, 3495, 4804, 823, 4836, 1576, 1806, 11780, 5472, 10933, 2058, 11586, 755, 1573, 3144, 5179, 2176, 4801, 11260, 12180, 11785, 6935, 720, 4776, 3576, 3711, 4741, 4801, 2373, 3397, 9773, 9060, 11447, 1815, 11646, 9634, 7511, 9601, 494, 1364, 2844, 9800, 4013, 9473, 7781, 2645, 3148, 8093, 5523, 172, 7857, 5282, 4896, 8817, 9989, 2226, 9484, 3164, 2905, 3539, 4504, 1886, 3479, 3490, 4576, 1986, 327, 3335, 1847, 3226, 5291, 3485, 1757, 12618, 6227, 2747, 3818, 6406, 4386, 3966, 2360, 5460, 3797, 4641, 10812, 11026, 3450, 8617, 9804, 2093, 9163, 9358, 12606, 12620, 7002, 9427, 10074, 12632, 9647, 9230, 9118, 6792, 3252, 9836, 4945, 12617, 8773, 10481, 1397, 534, 2752, 9279, 8447, 5641, 6987, 2234, 1418, 5724, 8848, 8014, 3212, 11265, 3164, 3378, 4978, 4785, 657, 11913, 6526, 838, 1970, 3933, 7110, 6461, 1602, 7982, 5567, 5550, 5567, 6133, 9872, 9134, 12633, 6268, 3479, 12603, 9206, 451, 1333, 3426, 11106, 11679, 1168, 263, 2447, 4713, 3559, 2510, 8585, 1210, 4954, 1715, 7369, 10052, 9545, 4116, 11014, 10598, 9542, 10050, 4304, 9212, 10029, 6393, 9406, 9674, 2727, 9585, 2102, 4749, 634, 3559, 1684, 236, 8055, 5943, 5858, 4896, 900, 6704, 7823, 12603, 4801, 834, 1833, 2822, 3219, 11804, 1052, 3986, 155, 2935, 6974, 838, 4804, 3920, 1952, 6858, 7503, 5127, 5402, 740, 11777, 6006, 8557, 7961, 475, 6892, 4140, 5534, 7601, 5193, 7683, 12616, 5068, 724, 6764, 50, 10300, 10507, 2797, 9167, 4968, 4963, 6902, 7380, 3767, 12629, 5511, 365, 6745, 7480, 2838, 2447, 2854, 4479, 3636, 3255, 7428, 12631, 9925, 7240, 8093, 5925, 5831, 7051, 498, 4945, 7864, 3685, 1882, 4665, 6627, 7495, 5365, 422, 5145, 7683, 9455, 5637, 631, 5331, 6648, 838, 5517, 240, 5322, 10196, 2146, 4542, 3412, 5240, 4409, 8229, 6413, 8982, 1487, 12632, 10795, 9960, 4741, 3685, 9601, 10009, 2272, 10574, 9506, 8431, 7894, 4973, 5840, 7519, 2924, 2373, 867, 455, 356, 7287, 7875, 8182, 1731, 6248, 7998, 848, 2437, 6093, 12, 12213, 9928, 2442, 1067, 3883, 876, 5928, 6784, 257, 7944, 7683, 8157, 9922, 4243, 910, 7369, 9480, 2191, 3500, 5627, 817, 7411, 5411, 5095, 7821, 2927, 2447, 8446, 9920, 6518, 12607, 12622, 4021, 7349, 4963, 12633, 9336, 4950, 9915, 967, 8212, 8687, 4492, 10080, 6589, 7291, 12644, 8283, 6110, 2533, 2924, 7055, 11272, 10215, 5845, 7287, 8974, 4515, 4061, 5646, 8213, 9422, 6158, 4349, 6488, 2987, 12442, 11055, 5090, 11369, 11969, 1780, 12027, 10909, 10992, 4409, 3417, 3383, 2027, 3402, 3335, 1950, 1466, 2674, 4983, 2802, 2935, 4280, 3801, 2305, 3369, 3383, 4465, 2146, 5114, 3924, 4322, 2257, 5303, 9795, 4129, 10008, 9167, 6720, 4873, 1620, 9605, 12421, 2934, 12236, 12039, 1263, 11170, 5467, 3639, 10553, 10557, 11371, 8780, 876, 2073, 5402, 3016, 4332, 2615, 3981, 10667, 10124, 1839, 9154, 10774, 9392, 11823, 11532, 3460, 9086, 9127, 5072, 2069, 10164, 3824, 2188, 5049, 2877, 9904, 8434, 10448, 2080, 5917, 7107, 2343, 9463, 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5807, 8357, 9594, 2043, 5789, 6640, 12511, 891, 7174, 12616, 7947, 47, 6725, 9850, 5438, 9060, 7361, 2408, 1251, 12275, 7050, 8863, 10241, 10697, 12245, 7567, 7359, 6957, 11860, 4639, 3689, 7195, 10482, 10101, 9002, 3565, 11511, 1880, 6731, 6251, 2491, 2400, 8813, 652, 2290, 3272, 4080, 1737, 3486, 1290, 418, 12169, 6130, 9618, 11510, 9016, 10807, 9407, 3200, 12491, 10504, 8977, 5375, 142, 12630, 6673, 8993, 10058, 11430, 10167, 9347, 2364, 3418, 412, 4395, 3381, 8878, 7370, 774, 12548, 4600, 8874, 10176, 5, 12603, 6018, 12443, 12046, 10236, 1960, 4652, 12533, 10508, 11029, 12397, 432, 5913, 10430, 10370, 2020, 7116, 12154, 7367, 6103, 2980, 9829, 10684, 12255, 11349, 6303, 8911, 11510, 10881, 9826, 9147, 11100, 1828, 12634, 7933, 12603, 4600, 12160, 10349, 2290, 3462, 8599, 10070, 2344, 359, 10103, 9488, 8252, 10140, 9741, 6587, 10651, 11263, 12135, 9080, 4023, 9733, 10807, 10532, 8611, 6213, 10990, 4091, 652, 12136, 101, 1041, 12449, 6026, 856, 12009, 10971, 10693, 1261, 12635, 7678, 3457, 8959, 8183, 9141, 1955, 9779, 12272, 2408, 3023, 1156, 598, 1276, 7693, 1760, 3486, 10651, 6327, 8934, 6026, 7517, 2411, 7235, 2268, 11898, 11274, 901, 4108, 1871, 9898, 319, 10663, 10435, 8208, 5558, 6350, 3651, 57, 7475, 6524, 5201, 5465, 12289, 8855, 10604, 5816, 11434, 12532, 11237, 12462, 8468, 12189, 3334, 9886, 11502, 12602, 11116, 10345, 11574, 9289, 5909, 11043, 8985, 12485, 9523, 932, 11162, 8262, 4310, 5144, 5913, 8029, 11464, 7989, 8204, 12633, 12441, 12292, 10798, 8286, 9265, 9573, 10638, 8485, 7062, 11838, 5918, 11469, 3447, 12305, 1940, 4182, 10951, 10943, 6365, 11982, 6734, 3316, 10110, 9295, 2240, 1008, 8786, 8408, 3082, 12001, 11051, 11471, 5994, 8463, 288, 5080, 7235, 12615, 6915, 722, 5468, 7807, 9752, 8289, 12632, 9069, 1280, 368, 12618, 2606, 3422, 10810, 8789, 5532, 2997, 7955, 4316, 6026, 856, 2692, 9898, 4310, 9925, 10035, 11616, 6388, 4816, 7182, 1505, 3717, 12630, 4162, 9166, 11877, 10438, 11306, 8877, 9993, 2433, 10870, 3209, 2963, 3076, 10064, 1024, 6587, 10517, 4600, 8922, 10788, 9254, 12354, 8984, 8152, 9245, 12416, 1689, 10093, 6306, 5947, 9282, 9977, 6998, 1215, 9150, 9159, 8659, 10377, 11928, 5628, 3940, 11473, 10549, 8562, 7597, 10315, 8385, 9596, 2912, 1255, 505, 8989, 8082, 251, 6007, 3739, 4289, 3363, 24, 11141, 3452, 8240, 8621, 10070, 2352, 6524, 59, 12094, 12644, 6076, 5806, 1842, 9750, 7922, 4639, 10651, 2143, 2165, 4039, 11164, 3209, 10468, 1234, 6166, 325, 9217, 12501, 11400, 11644, 2819, 12290, 3301, 12579, 3280, 5640, 4057, 6157, 10158, 11853, 9312, 10709, 7365, 10560, 2333, 4748, 11839, 10435, 10589, 4230, 11194, 10031, 1461, 7753, 4991, 12602, 12616, 8820, 7517, 11868, 5377, 6092, 9622, 6957, 4757, 3728, 5178, 9040, 5463, 8846, 6018, 7076, 11516, 6711, 6721, 11097, 5066, 8449, 8659, 9429, 11418, 5710, 6998, 8510, 5996, 8575, 7968, 3334, 4784, 762, 1353, 5192, 7235, 2273, 2789, 6047, 1323, 3310, 568, 2311, 909, 3586, 9680, 2078, 7216, 2768, 8370, 10151, 11469, 9492, 10572, 5098, 11449, 8192, 5, 6457, 5623, 12634, 12607, 2236, 11719, 10812, 9457, 2134, 3817, 4323, 909, 6157, 12572, 6482, 10026, 4313, 809, 4016, 11444, 4091, 2462, 11469, 11821, 3283, 885, 9604, 3163, 3184, 8914, 5804, 5890, 9040, 839, 12365, 9412, 3623, 10807, 7853, 8303, 4595, 5206, 9622, 6957, 9323, 5729, 4597, 11263, 3535, 11688, 4624, 1987, 3334, 4784, 3310, 6294, 3660, 3334, 7508, 11815, 5697, 8387, 7204, 9590, 10611, 4684, 1107, 809, 8023, 3565, 5806, 5941, 4739, 5520, 3197, 1186, 745, 7408, 846, 3658, 9184, 10165, 8959, 11738, 11163, 1231, 469, 7209, 2074, 1461, 2945, 3381, 8876, 7048, 5954, 3037, 5825, 8150, 8577, 7914, 7459, 244, 7797, 8662, 6580, 5654, 363, 10435, 6473, 3881, 174, 5311, 7399, 1679, 1520, 9973, 2561, 7235, 3918, 10812, 2008, 11907, 11511, 10750, 11880, 9126, 9213, 2392, 12322, 896, 485, 3646, 1328, 477, 11569, 2751, 3820, 8481, 2103, 727, 6011, 5230, 7326, 8127, 6192, 6749, 7138, 7204, 9590, 3606, 10955, 10938, 12634, 12606, 3491, 3481, 4549, 3334, 12085, 7029, 10777, 9919, 8976, 8116, 4350, 2545, 5576, 4800, 1652, 12605, 11349, 805, 12036, 9285, 9135, 5966, 5038, 7363, 2462, 943, 6775, 8737, 9954, 1323, 2467, 571, 3239, 5, 11040, 12216, 5714, 11620, 197, 6760, 5481, 5610, 6686, 10296, 6711, 1003, 4932, 5004, 10630, 9578, 5688, 4805, 9998, 11449, 2340, 3326, 2258, 10122, 11469, 10151, 12309, 12547, 4368, 10531, 5816, 2542, 9215, 5106, 7797, 6458, 8106, 4347, 6529, 7087, 6512, 5024, 12616, 161, 6998, 11342, 10815, 1003, 5861, 9679, 1960, 11968, 5355, 11095, 8265, 6985, 8507, 7404, 1937, 2392, 3395, 3467, 4361, 5375, 4739, 1948, 3642, 745, 3422, 1685, 3596, 4301, 5117, 286, 11936, 11326, 1983, 5235, 3486, 12292, 2705, 5405, 11025, 10886, 12634, 1752, 5861, 7909, 3809, 1828, 1821, 1070, 2632, 186, 9622, 6957, 909, 105, 3418, 11511, 6716, 1060, 3334, 4748, 9040, 4770, 1911, 3699, 809, 6909, 2459, 11575, 3618, 4422, 4597, 3511, 3486, 5009, 4490, 3334, 4784, 648, 1508, 5260, 9628, 2449, 6047, 8945, 8064, 7209, 7396, 11878, 9781, 9138, 10296, 3896, 10812, 11374, 2170, 6998, 12503, 5990, 869, 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1244, 10696, 1634, 2793, 9619, 8589, 10781, 8758, 7360, 10423, 8781, 7453, 9561, 6056, 32, 3343, 11129, 1768, 7127, 3821, 1968, 9082, 729, 12162, 10594, 11239, 10100, 8941, 10775, 11378, 9613, 9095, 2784, 10392, 10808, 7016, 12428, 6031, 3979, 1613, 12350, 8965, 11660, 10766, 11474, 2448, 5768, 7854, 4468, 28, 11229, 8580, 12620, 6155, 11481, 7433, 8131, 6085, 12616, 10808, 4630, 1626, 1224, 2815, 5067, 12488, 12271, 11152, 7652, 7469, 12433, 2196, 9243, 8322, 10808, 6796, 2823, 8165, 7645, 8240, 11475, 11177, 10536, 4651, 3839, 9963, 12605, 8743, 9256, 7438, 7588, 12629, 4286, 12223, 11513, 11864, 3463, 2793, 10914, 12117, 8697, 3127, 2326, 447, 7073, 6056, 116, 5929, 5000, 8493, 12496, 6695, 10524, 336, 11213, 4146, 12626, 6156, 7677, 8196, 6958, 5784, 6254, 12415, 6125, 12629, 11906, 8778, 10144, 845, 10984, 8606, 3071, 10089, 12586, 9990, 7755, 11825, 15, 6142, 11229, 12071, 6510, 7176, 9615, 10323, 444, 2452, 9389, 6169, 10136, 7357, 9329, 10771, 1586, 1146, 4031, 8393, 6394, 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5048, 1198, 7005, 7901, 6409, 36, 6017, 8240, 2469, 9799, 2440, 9362, 11456, 10706, 10487, 12020, 9478, 3833, 1954, 4335, 384, 3415, 4051, 10619, 4431, 2465, 10342, 1550, 714, 3380, 3394, 4339, 10436, 10593, 2932, 10757, 6210, 4185, 9146, 9157, 9866, 5498, 9625, 4786, 6944, 2465, 8918, 2413, 1388, 4219, 4001, 5387, 7672, 5741, 5482, 301, 5203, 9581, 9579, 2252, 4070, 5524, 11475, 11266, 10222, 1, 2861, 4468, 6982, 3120, 3541, 1858, 5699, 2906, 3556, 2444, 8349, 3833, 840, 1870, 3732, 11394, 12350, 1668, 5195, 6594, 11324, 11513, 10024, 5869, 12630, 5102, 4051, 4647, 2457, 4759, 6428, 4468, 3915, 5185, 2214, 2666, 11795, 7247, 3165, 4029, 7591, 12563, 920, 2168, 2470, 4532, 6162, 7957, 638, 5857, 5959, 6995, 7903, 6361, 7321, 260, 11408, 12418, 10694, 11068, 3337, 12589, 7229, 1981, 12043, 9555, 11456, 2353, 4070, 3619, 7674, 9581, 10602, 8902, 6867, 4070, 7478, 933, 2277, 5582, 8269, 7581, 12107, 5010, 8486, 3337, 8837, 5053, 5048, 638, 7866, 8947, 12498, 3799, 10587, 5695, 11802, 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8552, 3898, 3154, 10578, 5524, 2397, 741, 1307, 6918, 5288, 5102, 10623, 9043, 8096, 4070, 5897, 10731, 9807, 10206, 3029, 9227, 8947, 2457, 11507, 8639, 8389, 5713, 7790, 4092, 769, 5034, 4818, 11923, 10628, 9444, 10779, 3343, 1, 12406, 5034, 2988, 8407, 8742, 2800, 5537, 6484, 8731, 4690, 11187, 10801, 4059, 10808, 9418, 7031, 2448, 11180, 9976, 6519, 11239, 199, 5113, 6025, 8416, 5791, 7138, 241, 5058, 5048, 12088, 60, 7663, 4925, 9950, 9240, 6778, 1365, 729, 1500, 12041, 11036, 5108, 12618, 6229, 9203, 9107, 6802, 7378, 4062, 619, 2298, 4745, 7719, 1330, 5005, 5113, 12630, 12576, 12218, 10797, 10615, 5691, 10635, 10338, 2452, 9956, 10107, 12350, 11435, 1693, 7951, 7005, 3251, 12362, 12198, 6460, 7960, 840, 3122, 3921, 10846, 6841, 12587, 11827, 496, 4763, 3650, 12176, 10502, 10136, 6629, 9300, 10023, 9208, 9532, 5089, 2858, 3352, 1050, 1055, 7874, 317, 10702, 5749, 3488, 7878, 570, 9339, 3161, 9223, 2090, 9764, 9038, 8450, 10019, 2262, 822, 1626, 1111, 9408, 202, 2092, 2435, 879, 157, 260, 5171, 85, 8815, 5034, 5166, 2262, 10550, 2465, 420, 1307, 4078, 4185, 5953, 1367, 2274, 6044, 362, 874, 49, 6579, 5366, 10154, 4010, 12633, 10325, 1805, 11408, 8991, 4456, 1834, 3497, 3337, 1790, 5683, 7769, 269, 4843, 2172, 3122, 8747, 2470, 10405, 9866, 12630, 10946, 9175, 4937, 9945, 6778, 8022, 5747, 9033, 12258, 5000, 12616, 748, 6958, 2921, 9444, 12286, 11450, 9570, 2252, 9475, 4724, 357, 9599, 10181, 10000, 3430, 3410, 980, 7421, 4868, 6728, 12616, 4843, 4862, 7463, 1224, 7616, 7089, 12489, 12267, 7086, 7296, 6351, 2206, 8202, 11152, 120, 7366, 577, 6284, 6254, 8171, 8133, 8586, 7433, 143, 6304, 3531, 3526, 6326, 2448, 4759, 85, 4651, 3788, 1046, 5425, 5338, 5379, 486, 7609, 6708, 6447, 7474, 8271, 8104, 2514, 8196, 9385, 12406, 1638, 12157, 5491, 12629, 11107, 8873, 3204, 10534, 2465, 12631, 11945, 10838, 11865, 10286, 12551, 11429, 4044, 11012, 8081, 6367, 907, 4138, 11379, 12570, 12143, 8, 12002, 7869, 7308, 9019, 6290, 581, 8211, 10209, 12062, 870, 12510, 8731, 7324, 10487, 10102, 4982, 883, 1763, 7143, 12631, 870, 10292, 6202, 7327, 11695, 447, 12621, 6257, 7237, 3765, 4933, 11408, 6811, 7413, 10218, 4482, 7854, 2657, 3968, 109, 8548, 8193, 1254, 1816, 389, 2661, 8558, 8315, 4937, 3425, 2623, 6861, 7090, 5830, 5902, 246, 6022, 7019, 5886, 533, 7971, 12516, 12202, 7395, 3959, 2465, 9528, 11734, 10605, 2777, 10001, 2744, 2739, 12458, 2393, 10979, 7534, 8, 4453, 5577, 8266, 8305, 2470, 8242, 2588, 12630, 7201, 12642, 12355, 7358, 3444, 362, 10046, 1293, 11736, 5513, 12376, 1805, 7153, 7327, 8845, 6351, 10039, 9686, 9170, 999, 11379, 6362, 75, 8186, 6266, 11269, 2072, 5728, 8642, 1102, 6943, 4070, 769, 5102, 5211, 8407, 8409, 8742, 6177, 2448, 3942, 5675, 6539, 4078, 567, 2930, 6180, 8021, 3214, 1159, 10023, 9615, 2159, 2184, 3420, 9582, 7347, 8595, 2848, 4062, 10550, 11171, 10637, 5530, 11764, 18, 2939, 4251, 8700, 11062, 13, 7139, 11362, 3786, 10812, 6982, 11483, 5658, 8330, 7335, 5713, 7421, 8685, 12265, 9536, 11012, 8356, 3390, 4804, 12616, 5699, 6452, 7093, 4729, 1266, 12364, 9609, 879, 10412, 164, 10585, 11301, 10824, 9162, 10937, 11929, 7507, 5491, 5284, 6919, 10623, 7774, 8543, 6132, 980, 11379, 10801, 6, 11201, 11578, 7842, 9837, 9894, 246, 5528, 32, 10081, 2389, 10060, 9701, 10310, 8857, 8558, 5288, 9792, 8947, 3337, 6177, 11250, 8251, 12084, 10907, 6475, 3420, 5071, 10564, 10177, 6655, 5207, 9859, 2922, 10812, 11608, 6119, 11837, 8238, 1654, 6017, 7421, 3158, 18, 23, 10404, 5717, 2832, 7405, 4439, 3468, 3425, 4128, 3343, 4773, 3425, 526, 2815, 3492, 3488, 3497, 4967, 4925, 1784, 8295, 4092, 10626, 9547, 8001, 4100, 6015, 224, 1894, 11523, 11522, 6516, 2594, 5025, 10524, 6072, 8560, 9897, 4668, 1634, 12326, 10736, 12398, 11368, 7074, 6490, 331, 5084, 4972, 1014, 11176, 10647, 10438, 9780, 8211, 6091, 4388, 5619, 6638, 12332, 11701, 7214, 10928, 11309, 7278, 8845, 8195, 5425, 7624, 11782, 7020, 9469, 10791, 6072, 11408, 3022, 5670, 4676, 7874, 12386, 8917, 12117, 12262, 6674, 729, 2295, 4408, 3592, 5048, 12350, 11950, 11330, 5216, 10989, 4018, 10132, 3245, 9941, 11212, 10742, 8986, 8141, 11216, 8584, 5626, 3306, 3309, 2259, 7443, 9050, 10156, 12408, 10813, 12210, 12214, 4018, 7701, 6533, 5297, 7869, 6180, 8325, 3185, 2416, 855, 6971, 12604, 12300, 11008, 11074, 6530, 12331, 6117, 8429, 3507, 3502, 7283, 2620, 2935, 10749, 10429, 12344, 9417, 196, 9038, 7262, 8867, 11324, 4041, 6394, 1111, 3483, 3425, 4638, 6821, 11629, 669, 10778, 5039, 6494, 6127, 11450, 2001, 3977, 6943, 6983, 2955, 9952, 8963, 2899, 5639, 10548, 9191, 10290, 9033, 11716, 3957, 9278, 10163, 3072, 8681, 2967, 8728, 4883, 10534, 10214, 3026, 3619, 6169, 786, 11753, 10888, 673, 11716, 11074, 10255, 9314, 2149, 11707, 6861, 1675, 8090, 5911, 5820, 7534, 7332, 9794, 6470, 902, 2307, 8383, 12632, 5053, 2690, 8843, 5619, 8022, 866, 6412, 786, 1597, 3435, 7413, 6931, 4798, 3665, 772, 1591, 1725, 4232, 3394, 1170, 1884, 3385, 12608, 12625, 7862, 7159, 4967, 4589, 3526, 1989, 474, 5020, 3337, 2061, 9632, 67, 937, 13, 2469, 3043, 11420, 12375, 7869, 11912, 2345, 3607, 4635, 3352, 3324, 12395, 7559, 6564, 1014, 11583, 10818, 5108, 12003, 43, 7463, 1805, 3522, 4472, 4018, 2452, 4179, 3994, 3973, 4142, 786, 2154, 7648, 5473, 6958, 4798, 3624, 3526, 4754, 4651, 6676, 1876, 3574, 5354, 3337, 1844, 5687, 10402, 7810, 9976, 10545, 10202, 9162, 2873, 3352, 1706, 2534, 1248, 513, 741, 2087, 11744, 10851, 10930, 1428, 556, 10851, 10902, 2668, 4768, 11245, 10369, 9607, 10461, 11892, 4268, 9320, 12631, 11001, 5699, 975, 2452, 10364, 3887, 13, 4706, 12393, 7024, 4047, 350, 6829, 11122, 4315, 1214, 10524, 10317, 1791, 9157, 9170, 10396, 12614, 4099, 9844, 10616, 3435, 11229, 3425, 4107, 4232, 3251, 10859, 11784, 10812, 1367, 10415, 6004, 10288, 346, 7121, 10192, 11074, 9632, 10459, 9223, 10595, 6993, 272, 1189, 4992, 3092, 7190, 9839, 2873, 2115, 8472, 4655, 8888, 3066, 2597, 3330, 2444, 1019, 3263, 4008, 10704, 11463, 10489, 12244, 12471, 11501, 7874, 4754, 2425, 9434, 10476, 9816, 5658, 4718, 10720, 2520, 12193, 3032, 8740, 2149, 6089, 8052, 7069, 1415, 12616, 8001, 6159, 3415, 7598, 2566, 741, 9258, 9921, 1907, 4189, 10534, 6997, 11915, 10791, 7275, 5699, 1638, 7382, 11231, 9901, 10405, 8704, 2358, 5366, 3015, 12364, 4768, 12259, 11956, 6085, 7744, 1209, 6889, 4847, 1537, 1142, 12603, 5798, 8513, 6714, 11266, 892, 2470, 205, 1958, 9967, 8102, 6976, 6160, 2307, 5435, 299, 6604, 5263, 7830, 12376, 11346, 4949, 902, 12631, 3942, 2320, 806, 9648, 8871, 3337, 11463, 11529, 2429, 10956, 3275, 12447, 3517, 2810, 4148, 3683, 482, 2452, 4348, 6714, 6742, 8416, 8766, 5207, 2871, 10635, 12505, 12218, 6349, 10365, 7854, 12336, 6470, 1749, 5010, 6394, 8124, 6494, 5301, 211, 1142, 4044, 4120, 2465, 4001, 2889, 2934, 4051, 7501, 6603, 7534, 8445, 309, 5412, 5185, 7835, 51, 5102, 6645, 5442, 6742, 9806, 4300, 12630, 12602, 12332, 11269, 2079, 6156, 4702, 12203, 4241, 10786, 11435, 5919, 11475, 2983, 9459, 3917, 10552, 6943, 4070, 11005, 2172, 5113, 32, 7556, 5666, 5579, 6604, 12364, 7514, 9306, 12060, 10200, 10486, 10484, 8092, 9453, 912, 1784, 10914, 11050, 3835, 4709, 10405, 2429, 8622, 11364, 11858, 3898, 3895, 968, 9403, 10447, 11892, 11278, 11759, 11294, 4953, 8933, 12487, 3844, 6025, 5029, 12587, 855, 4121, 11947, 9582, 6928, 9482, 10143, 1513, 656, 2523, 1530, 673, 3430, 1943, 8947, 12341, 7409, 8995, 1299, 2631, 2650, 5636, 2175, 2488, 4768, 12162, 8549, 11269, 7376, 10646, 10806, 2435, 7798, 7118, 644, 10231, 1493, 3139, 2214, 1428, 556, 641, 3444, 12602, 1142, 4729, 772, 3650, 1997}; + unsigned int BorderCounts[45] = {842, 784, 841, 467, 399, 733, 742, 922, 453, 282, 513, 258, 173, 466, 229, 136, 210, 125, 87, 183, 116, 98, 425, 142, 343, 190, 176, 102, 133, 81, 102, 59, 462, 198, 328, 139, 178, 105, 120, 69, 108, 83, 13, 14, 16}; + float Borders[12645] = {0.201649964f, 0.201689094f, 0.201706618f, 0.201716751f, 0.201720238f, 0.203305006f, 0.203366578f, 0.203393966f, 0.204961568f, 0.205132619f, 0.205172598f, 0.206668168f, 0.206851691f, 0.208380863f, 0.208615854f, 0.210122287f, 0.210392445f, 0.212095946f, 0.213685334f, 0.213750988f, 0.213756382f, 0.21382226f, 0.21388045f, 0.215496063f, 0.215712115f, 0.217346966f, 0.217416972f, 0.217509523f, 0.219227731f, 0.21923545f, 0.219274879f, 0.220947802f, 0.220980763f, 0.22099337f, 0.221070364f, 0.222720802f, 0.224537134f, 0.226589113f, 0.228189573f, 0.228460699f, 0.230184734f, 0.230258316f, 0.230465561f, 0.232016116f, 0.232024774f, 0.232320219f, 0.233868286f, 0.23404488f, 0.235693768f, 0.235818326f, 0.236013204f, 0.237821192f, 0.23801288f, 0.238071114f, 0.239546329f, 0.239926547f, 0.240039736f, 0.24143301f, 0.241999164f, 0.243353695f, 0.243586794f, 0.243759573f, 0.24391067f, 0.245369494f, 0.245546609f, 0.24564442f, 0.245935529f, 0.247524232f, 0.247593462f, 0.249170393f, 0.249600708f, 0.249966115f, 0.250080287f, 0.251316369f, 0.251649141f, 0.251654595f, 0.251799464f, 0.2533952f, 0.253662437f, 0.253688991f, 0.254241765f, 0.255303144f, 0.25560993f, 0.255653828f, 0.256175905f, 0.257605851f, 0.259399056f, 0.259631991f, 0.261592716f, 0.261787117f, 0.262189358f, 0.263548881f, 0.263888478f, 0.264284045f, 0.265604675f, 0.265801549f, 0.265881419f, 0.265918612f, 0.267886817f, 0.267991424f, 0.268052757f, 0.269669563f, 0.269978195f, 0.270101696f, 0.270256042f, 0.271790415f, 0.271988988f, 0.272716582f, 0.273898244f, 0.274181604f, 0.274466783f, 0.274537265f, 0.274879634f, 0.276590973f, 0.276650727f, 0.277148724f, 0.27843678f, 0.278722376f, 0.278790772f, 0.279208958f, 0.280614793f, 0.280852914f, 0.281359792f, 0.282301009f, 0.28298673f, 0.283011198f, 0.283016503f, 0.283487082f, 0.285175681f, 0.285614908f, 0.286520153f, 0.28742519f, 0.287447453f, 0.287662327f, 0.288642853f, 0.289599538f, 0.28967759f, 0.28968662f, 0.290825933f, 0.29177916f, 0.291808605f, 0.291897088f, 0.293028414f, 0.293890774f, 0.293907523f, 0.296128571f, 0.29621166f, 0.29628849f, 0.297360271f, 0.298383653f, 0.298449725f, 0.300516903f, 0.300683796f, 0.300914139f, 0.302823603f, 0.303072929f, 0.303852051f, 0.305419385f, 0.307376504f, 0.307464182f, 0.307653844f, 0.308435351f, 0.309713721f, 0.309817374f, 0.310031831f, 0.310797274f, 0.313040853f, 0.314029425f, 0.314096868f, 0.314146638f, 0.315478951f, 0.31641528f, 0.318777204f, 0.318884313f, 0.320188075f, 0.321098298f, 0.322501928f, 0.323616147f, 0.324353635f, 0.328157663f, 0.328476429f, 0.329713821f, 0.330536783f, 0.330818951f, 0.330894589f, 0.33162415f, 0.332154095f, 0.335655153f, 0.335801601f, 0.336378098f, 0.336777627f, 0.337878644f, 0.338154048f, 0.339346528f, 0.340506554f, 0.340807587f, 0.341310978f, 0.34187603f, 0.343438625f, 0.343807369f, 0.345642805f, 0.345970154f, 0.34625566f, 0.348246217f, 0.348315716f, 0.348756164f, 0.349654794f, 0.350949675f, 0.351126075f, 0.352258861f, 0.353806794f, 0.353866279f, 0.354968786f, 0.356223881f, 0.35636133f, 0.356664896f, 0.35668081f, 0.357450455f, 0.359029263f, 0.362122238f, 0.36289674f, 0.367255986f, 0.367751569f, 0.369822592f, 0.370504439f, 0.371115118f, 0.372512162f, 0.373233527f, 0.373817027f, 0.375435352f, 0.376096427f, 0.378103614f, 0.378351331f, 0.378872395f, 0.379369676f, 0.380919635f, 0.381311834f, 0.381764054f, 0.382470727f, 0.383715987f, 0.384113848f, 0.384154558f, 0.385532439f, 0.387744009f, 0.388440937f, 0.389642358f, 0.390009999f, 0.3912808f, 0.392383039f, 0.392993122f, 0.393009126f, 0.394223422f, 0.395256221f, 0.396052182f, 0.396452963f, 0.397201478f, 0.398286998f, 0.398887426f, 0.399231881f, 0.401205182f, 0.402021766f, 0.402241677f, 0.404010117f, 0.404763013f, 0.405335605f, 0.405340433f, 0.407049388f, 0.407939583f, 0.408553541f, 0.40856871f, 0.409353256f, 0.410187781f, 0.411796868f, 0.411862463f, 0.413184226f, 0.414064467f, 0.4150576f, 0.415218115f, 0.417135894f, 0.418016255f, 0.418238461f, 0.419274509f, 0.421304256f, 0.421630144f, 0.423490942f, 0.424487799f, 0.424773157f, 0.425565243f, 0.427929521f, 0.428792775f, 0.430163383f, 0.430849433f, 0.431038082f, 0.433287024f, 0.433924019f, 0.433991849f, 0.434219539f, 0.435081631f, 0.436633766f, 0.437112749f, 0.438136756f, 0.440405279f, 0.440690339f, 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3.44933748f, 3.48974752f, 4.44018078f, 5.17449951f, 5.46096325f, 5.78325748f, 6.02183104f, 6.18336391f, 6.31491947f, 6.33736372f, 6.3410368f, 6.38643169f, 13.3272514f, 13.5859795f, 13.88342f, 13.9926996f, 14.0647907f, 14.8270864f, 15.0762768f, 15.281745f, 15.7151241f, 16.660099f, 16.9564953f, 16.9917278f, 18.5135746f, 18.9095268f, 19.0929775f, 20.7541218f, 20.7987556f, 21.0498543f, 21.7781544f, 24.0796471f, 25.3931313f, 25.5321236f, 25.5516052f, 28.0577812f, 28.7622643f, 30.4623718f, 30.9940643f, 31.3724594f, 31.8113499f, 37.1357231f, 40.6753082f, 44.4706421f, 45.3258286f, 50.0563164f, 51.6741028f, 55.4522629f, 56.7178307f, 61.5558853f, 61.6334801f, 64.7483826f, 64.9696198f, 67.7845459f, 69.8233032f, 72.0375824f, 72.5695267f, 76.2624207f, 81.7989655f, 92.8903351f, 103.801323f, 118.774002f, 119.473297f, 121.338272f, 0.0241626017f, 0.374202579f, 0.374956608f, 0.378873229f, 0.899192631f, 0.9405545f, 1.19713569f, 2.21181917f, 2.4746809f, 2.75681853f, 2.92066765f, 3.08240771f, 3.47484255f, 4.33078289f, 4.82016373f, 5.29467821f, 5.63395596f, 5.77170086f, 6.22619343f, 6.2873621f, 6.32817698f, 6.41043425f, 6.51419687f, 6.79521942f, 6.86862373f, 6.94269085f, 7.25653601f, 7.32015467f, 7.32074738f, 7.37727165f, 7.40115023f, 7.4873271f, 7.58067513f, 7.58085823f, 7.59740448f, 7.60313225f, 7.60906124f, 7.61085415f, 7.61251926f, 7.65279675f, 7.69767094f, 8.00671387f, 8.22034645f, 8.78273678f, 9.1713829f, 9.40836906f, 10.974514f, 11.2153215f, 11.2353926f, 13.3763475f, 13.5854387f, 13.7274895f, 14.2135582f, 14.6950989f, 14.9467182f, 15.2602081f, 15.6835289f, 16.1825829f, 16.2459488f, 16.2866955f, 16.3694515f, 16.5118599f, 16.6084156f, 16.8145828f, 16.8886261f, 17.565567f, 17.6680374f, 17.7927475f, 18.4174881f, 18.9928627f, 19.0193615f, 20.3740044f, 22.5521088f, 23.279438f, 25.6603241f, 26.0781784f, 26.0813217f, 26.8956642f, 27.7662754f, 28.1908684f, 28.2000465f, 28.4299431f, 28.6626396f, 29.5424347f, 30.4376812f, 30.5434799f, 30.6684608f, 30.7270489f, 30.7416248f, 30.7635345f, 31.9333477f, 33.160717f, 34.0220947f, 36.6503334f, 37.2665329f, 38.5267372f, 44.4366608f, 45.922905f, 46.3575974f, 49.5941162f, 52.9470749f, 53.4820824f, 55.5633583f, 59.5708542f, 70.5453033f, 71.9877625f, 83.2257767f, 84.1346512f, 0.028346641f, 0.373564541f, 0.991607189f, 2.66149092f, 3.01678658f, 3.60019636f, 4.42773771f, 5.60307693f, 5.68842983f, 5.77437401f, 5.7827549f, 5.89253664f, 6.47547817f, 6.69997215f, 6.83688259f, 7.2767148f, 7.333076f, 7.44189501f, 7.50398445f, 7.52644539f, 7.53317022f, 7.61776209f, 7.62415838f, 7.684062f, 7.69230366f, 8.26351357f, 8.65492344f, 11.1414871f, 11.2133818f, 12.7675877f, 13.1646471f, 13.3654499f, 14.1260757f, 14.4429493f, 15.0537386f, 15.1211948f, 16.9181557f, 17.0423317f, 17.0641098f, 18.1842136f, 20.3272247f, 20.4330902f, 20.7558784f, 21.1046085f, 21.3433189f, 21.421793f, 21.5206795f, 21.7487221f, 22.027935f, 22.2005043f, 23.7416153f, 25.6085625f, 27.3071556f, 28.4173393f, 28.508194f, 29.1402702f, 30.5413933f, 30.7093067f, 30.7843246f, 30.7910004f, 31.2420998f, 31.3005753f, 32.0757294f, 32.1257019f, 33.6069107f, 33.8980408f, 38.1434097f, 39.6430054f, 42.227066f, 45.1908302f, 48.1311607f, 48.5557899f, 52.3251572f, 52.6917763f, 57.6610718f, 59.6721382f, 63.5332336f, 63.9192848f, 65.3489151f, 72.8440399f, 73.3442688f, 87.3996277f, 88.8813324f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 8.5f, 9.5f, 10.5f, 16.5f, 22.5f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 10.5f, 15.5f, 17.5f, 18.5f, 19.5f, 23.f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 8.5f, 9.5f, 10.5f, 11.5f, 14.5f, 16.5f, 23.f, 26.5f}; + + /* Aggregated array of leaf values for trees. Each tree is represented by a separate line: */ + double LeafValues[160000] = { + -0.6337611561506062, -0.3162577318756424, -0.5640444170555315, -0.02721940138438803, -0.6015401410025045, -0.2168112651343038, -0.4477271742658888, 0.2805372318189066, -0.7836657991333839, -0.3422595569346227, -0.8452746271833631, -0.2198690885754834, -0.6460121560879813, -0.2443635755770542, -0.6864495869181724, -0.07257970386943444, -0.4684810136954274, -0.398885146490475, -0.3407414074181542, -0.2719176263136575, -0.4538668335990404, -0.3244396976973697, -0.1277957834201145, 0.3189609119780862, -0.4936506151221193, -0.5585179448874928, -0.516026759593014, -0.4890645622190827, -0.4994980586324084, -0.3323663085094565, -0.4478775965316892, -0.05464146308627343, + -0.5303238571105309, -0.1820742990937559, -0.5072895776099345, 0.06164692957650249, -0.4425217995733902, -0.1023991271058893, -0.4113609661188989, 0.2052801440083345, -0.65465991480468, -0.3533845357561389, -0.6653011169753855, 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int binFeatureIndex = 0; + for (unsigned int i = 0; i < model.FloatFeatureCount; ++i) { + for(unsigned int j = 0; j < model.BorderCounts[i]; ++j) { + binaryFeatures[binFeatureIndex] = (unsigned char)(features[i] > model.Borders[binFeatureIndex]); + ++binFeatureIndex; + } + } + + /* Extract and sum values from trees */ + double result = 0.0; + const unsigned int* treeSplitsPtr = model.TreeSplits; + const double* leafValuesForCurrentTreePtr = model.LeafValues; + for (unsigned int treeId = 0; treeId < model.TreeCount; ++treeId) { + const unsigned int currentTreeDepth = model.TreeDepth[treeId]; + unsigned int index = 0; + for (unsigned int depth = 0; depth < currentTreeDepth; ++depth) { + index |= (binaryFeatures[treeSplitsPtr[depth]] << depth); + } + result += leafValuesForCurrentTreePtr[index]; + treeSplitsPtr += currentTreeDepth; + leafValuesForCurrentTreePtr += (1 << currentTreeDepth); + } + return model.Scale * result + model.Bias; +} + +double ApplyCatboostModel_RGA_outbending_pass1( + const std::vector& floatFeatures, + const std::vector& +) { + return ApplyCatboostModel_RGA_outbending_pass1(floatFeatures); +} + + +// clang-format on \ No newline at end of file diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_outbending_pass2.cpp b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_outbending_pass2.cpp new file mode 100644 index 00000000..134f7969 --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGA_outbending_pass2.cpp @@ -0,0 +1,5063 @@ +// clang-format off + +#include +#include + +/* Model data */ +static const struct CatboostModel_RGA_outbending_pass2 { + unsigned int FloatFeatureCount = 45; + unsigned int BinaryFeatureCount = 13350; + unsigned int TreeCount = 4999; + unsigned int TreeDepth[4999] = {5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}; + unsigned int TreeSplits[24973] = {4630, 3262, 873, 2667, 290, 4610, 3237, 902, 1799, 2991, 4654, 3291, 827, 553, 2535, 4597, 3252, 11584, 11239, 11082, 4580, 3315, 954, 250, 1734, 4683, 3228, 2658, 4413, 3457, 4559, 3079, 993, 3339, 304, 11350, 11082, 11186, 4630, 1645, 2972, 964, 1894, 13335, 4712, 2517, 3210, 12366, 11273, 12174, 1659, 2637, 1042, 304, 4947, 2957, 9946, 9168, 3373, 4235, 11339, 11082, 5065, 1828, 11156, 13312, 852, 203, 5025, 2306, 1507, 4542, 6346, 940, 2876, 2682, 3205, 4347, 3442, 1291, 11386, 12170, 3352, 11206, 13311, 1601, 3079, 5165, 9208, 9086, 2496, 2052, 5081, 428, 4791, 847, 2968, 790, 156, 4907, 1507, 9184, 9086, 4610, 9130, 4119, 3393, 3215, 4426, 1251, 2547, 2019, 1014, 269, 4886, 10230, 9159, 9086, 4630, 6351, 1604, 5198, 2677, 12378, 11191, 4478, 3518, 4258, 3199, 4730, 839, 790, 2854, 189, 930, 11393, 12152, 3335, 4184, 3223, 1507, 3084, 5148, 7333, 4588, 1699, 2293, 940, 259, 3276, 2997, 2072, 4979, 7421, 4601, 10200, 9141, 9898, 4625, 9086, 4022, 3406, 3195, 4434, 3286, 11313, 11082, 11134, 4649, 6341, 1592, 1021, 2318, 313, 13322, 2541, 3228, 1336, 4304, 3491, 6185, 5021, 475, 1188, 3325, 2692, 8236, 2835, 1010, 13311, 4008, 4774, 618, 3339, 1821, 1576, 5240, 9159, 9928, 847, 783, 832, 13311, 5421, 6341, 2481, 3001, 2064, 3267, 1342, 4473, 3557, 1739, 3232, 4386, 1507, 11300, 11082, 4886, 3286, 6170, 4943, 498, 4630, 7360, 8183, 5210, 7241, 4514, 4630, 3103, 3952, 4823, 6146, 524, 5847, 4635, 6341, 5433, 5560, 9161, 9962, 4068, 3347, 3205, 4473, 3548, 4320, 3133, 1765, 5268, 2696, 1061, 290, 2302, 783, 827, 113, 368, 1093, 2843, 2623, 8240, 2026, 5010, 11429, 11082, 11122, 4635, 12032, 1507, 5849, 1102, 4625, 6346, 8714, 6221, 4974, 387, 4630, 13312, 4630, 13336, 6341, 1175, 9145, 9086, 4774, 11254, 11082, 1561, 2294, 1817, 3276, 4076, 4478, 762, 3347, 4206, 3215, 5297, 7190, 4510, 1143, 2727, 2832, 1443, 3476, 687, 4454, 1628, 2293, 898, 180, 4791, 3918, 4831, 7493, 4610, 599, 5835, 13337, 4625, 6346, 5440, 11870, 11129, 11082, 4640, 12042, 2472, 2033, 2293, 1111, 396, 2719, 5187, 7291, 1175, 4889, 783, 822, 4753, 7541, 4610, 3087, 8779, 2428, 3186, 4395, 8157, 5287, 9134, 9086, 4698, 5823, 1047, 2732, 389, 1251, 3938, 3306, 3195, 1914, 3257, 11710, 12381, 11605, 4630, 4525, 4277, 3126, 3378, 1702, 4605, 6139, 4894, 3872, 7458, 13336, 1507, 713, 4468, 3247, 1694, 779, 6351, 4580, 5411, 5566, 2823, 2555, 1470, 724, 1368, 11891, 11109, 11082, 4630, 1042, 6205, 5004, 375, 4774, 7378, 8095, 5283, 7249, 1039, 1939, 4331, 3136, 3501, 4454, 702, 11656, 11584, 4630, 11601, 889, 9127, 9086, 4730, 10001, 4630, 9545, 10207, 9519, 2052, 2555, 1512, 631, 1345, 2727, 1428, 3108, 8647, 4630, 6346, 4584, 3968, 3301, 3191, 1868, 4155, 8357, 13336, 6701, 1166, 487, 4445, 3140, 3532, 1708, 746, 6119, 4805, 3893, 3276, 3186, 1564, 2293, 1848, 1177, 498, 1498, 762, 4473, 3295, 4137, 2821, 1485, 750, 3301, 1410, 5825, 13337, 407, 3009, 1179, 9547, 10184, 9516, 1981, 9115, 11876, 11159, 11082, 12060, 4654, 790, 819, 396, 242, 1138, 2719, 10413, 9119, 4630, 9159, 4338, 3130, 3508, 2094, 489, 6175, 13322, 648, 1357, 3272, 4463, 3543, 3218, 738, 1634, 5310, 8071, 7182, 885, 147, 794, 355, 4630, 4811, 5482, 4501, 4413, 3136, 4610, 6341, 11640, 11584, 4745, 11226, 3242, 6205, 5039, 172, 907, 4851, 1519, 1291, 548, 436, 2293, 1495, 757, 1477, 738, 4463, 13337, 5867, 4610, 6341, 5437, 3928, 3272, 3191, 1758, 3158, 6643, 5553, 418, 2997, 3315, 4281, 3365, 3247, 606, 1917, 2813, 2727, 1354, 588, 1232, 1502, 770, 4478, 1529, 3335, 8384, 13336, 7689, 1179, 4654, 9534, 10181, 2011, 3031, 4861, 11900, 11109, 11082, 4630, 11167, 6242, 5052, 348, 4823, 7308, 8635, 5302, 1288, 515, 432, 779, 304, 922, 399, 1179, 4442, 3597, 3140, 4542, 6341, 6110, 4767, 3907, 3247, 3186, 13338, 13314, 4610, 6341, 1677, 2422, 2293, 827, 1773, 3257, 794, 819, 118, 368, 4654, 11627, 12384, 12637, 11588, 10410, 6242, 3393, 4196, 4673, 2061, 3114, 5256, 1328, 573, 469, 9124, 10310, 9226, 1871, 4827, 3720, 2938, 2097, 4900, 3347, 12862, 2700, 8274, 4976, 7401, 1512, 4285, 3423, 6399, 2157, 9521, 10181, 3281, 4110, 1725, 6632, 13323, 4610, 481, 1259, 11856, 11178, 3218, 11082, 4745, 13337, 13312, 6757, 3276, 1377, 1564, 3121, 4381, 3199, 2661, 5345, 3628, 2002, 1244, 2293, 7105, 4520, 713, 1456, 6341, 7199, 5101, 13336, 6267, 246, 8101, 5244, 1299, 508, 2727, 1483, 750, 4463, 4758, 1097, 6114, 4878, 9801, 3310, 4157, 13338, 13313, 4610, 6341, 3325, 8595, 4610, 5400, 6341, 6757, 7264, 5077, 13336, 4726, 526, 2402, 2293, 1763, 1005, 3252, 1498, 765, 4478, 3335, 2522, 3889, 3223, 3186, 1713, 4047, 11620, 12384, 11239, 1933, 11082, 5991, 5861, 415, 11948, 11186, 1524, 1377, 610, 2370, 1256, 1502, 770, 3469, 7478, 4855, 7105, 4610, 4748, 670, 1425, 2719, 4630, 1134, 2727, 418, 4449, 3566, 1524, 575, 1359, 6153, 5283, 4878, 459, 7302, 8066, 4654, 7144, 1123, 1924, 2801, 1440, 683, 1397, 635, 1473, 731, 4537, 6341, 2940, 1491, 760, 2922, 2531, 3276, 885, 147, 401, 1045, 2293, 3974, 3247, 3205, 1751, 3167, 6616, 5507, 495, 1269, 4915, 1502, 3700, 2949, 2505, 2033, 9519, 9505, 4630, 9512, 4748, 5981, 5822, 7408, 13322, 176, 8595, 4654, 5651, 5459, 553, 8354, 13336, 7697, 1087, 2727, 12063, 11239, 12147, 1917, 487, 4442, 3121, 3523, 697, 1410, 6098, 4742, 930, 2727, 215, 794, 3390, 4210, 6433, 2124, 9118, 10307, 9244, 1931, 11323, 10405, 9106, 9208, 9890, 4811, 13338, 8496, 5815, 13312, 3276, 3604, 6688, 5560, 5421, 6346, 3883, 3223, 3186, 1666, 3993, 1507, 2293, 1809, 934, 638, 6248, 5044, 368, 4831, 7434, 1480, 733, 1460, 706, 4576, 4478, 1561, 6200, 4878, 3842, 2289, 11612, 3163, 2036, 2553, 5361, 8044, 7398, 3378, 4683, 3738, 885, 2603, 2368, 4816, 9519, 10172, 3325, 4196, 3218, 7109, 4500, 6439, 13323, 7761, 3121, 4395, 4630, 3180, 2083, 3604, 9785, 9188, 3276, 4103, 11904, 11109, 11082, 1093, 326, 779, 3262, 1616, 4051, 3218, 13338, 13314, 11273, 3272, 12082, 8639, 5212, 1328, 542, 3339, 7264, 5055, 113, 902, 7629, 8895, 4597, 6341, 1716, 2293, 2789, 1408, 655, 2500, 3252, 1495, 760, 4473, 3528, 3301, 403, 3048, 2101, 3397, 5221, 3114, 4986, 2647, 3276, 9838, 6004, 5871, 379, 1168, 2293, 1502, 770, 3469, 7750, 13323, 6128, 1956, 3262, 2557, 4811, 3737, 3041, 2140, 8763, 2625, 2242, 3291, 4169, 3210, 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9008, 11040, 6092, 11972, 6693, 3798, 48, 38, 4003, 5686, 8728, 4857, 7585, 4228, 5887, 13336, 2680, 12679, 11400, 5510, 4693, 2693, 10670, 6835, 5456, 6150, 5767, 12943, 13159, 10946, 7792, 11779, 6039, 6662, 9420, 9837, 933, 96, 6103, 13322, 10106, 13147, 13310, 2628, 4226, 8468, 9796, 10770, 9538, 11721, 13139, 3370, 2890, 6122, 11586, 8120, 9070, 12602, 12157, 7576, 5879, 9531, 10501, 6968, 3316, 416, 3111, 3225, 7204, 9670, 12812, 9482, 11021, 10572, 3170, 8918, 13148, 632, 8684, 2587, 10666, 9663, 6698, 11682, 12348, 12448, 11879, 5805, 7283, 10213, 6797, 11834, 3134, 8167, 7494, 2171, 7104, 12074, 10876, 6161, 4639, 7060, 1523, 8074, 8932, 5520, 8778, 10322, 18, 3122, 11217, 11073, 3177, 9676, 2923, 7812, 925, 8269, 4586, 13323, 6807, 2250, 34, 3841, 6080, 3612, 11860, 10458, 8193, 5789, 10996, 3791, 10052, 5149, 2892, 8407, 2687, 2238, 9360, 5802, 8893, 12774, 5372, 266, 7149, 6331, 5675, 3154, 4404, 6084, 12323, 6044, 3104, 12393, 6394, 7444, 9082, 8506, 10539, 6896, 5365, 800, 2284, 7012, 11552, 11969, 2250, 4261, 6246, 8644, 12187, 11860, 13339, 11063, 2308, 4351, 2542, 2509, 1611, 4308, 1012, 9482, 12285, 7166, 8314, 5207, 3682, 4609, 13340, 3894, 2166, 13344, 9482, 6425, 786, 9754, 9624, 11105, 13082, 13324, 4629, 9660, 10569, 9040, 3292, 8076, 2725, 3122, 1016, 455, 7296, 6322, 6630, 2427, 1527, 5738, 929, 941, 8643, 12288, 5924, 7404, 11990, 11322, 12168, 1173, 11834, 3784, 10030, 10805, 4327, 13261, 10913, 7132, 4351, 6988, 13019, 13033, 6988, 13200, 3478, 7059, 12673, 4096, 3366, 1729, 13306, 3366, 11818, 12921, 5735, 1506, 3000, 3600, 7300, 8808, 12187, 649, 5093, 11183, 12778, 6468, 2245, 5163, 3855, 3602, 3682, 7186, 1594, 6328, 5265, 8778, 10975, 9706, 7128, 12759, 12903, 3791, 2048, 1031, 2568, 10940, 9590, 3090, 5382, 9936, 5464, 5432, 11235, 4575, 11596, 2284, 3107, 995, 3935, 5356, 11860, 3644, 4430, 5643, 8911, 8702, 8711, 12802, 6072, 6802, 6322, 10717, 6628, 5486, 2534, 13338, 2450, 3177, 1220, 427, 12426, 3861, 12351, 11644, 11108, 7968, 346, 5918, 5868, 7673, 6532, 13346, 12555, 791, 5760, 11580, 5306, 800, 4085, 555, 7404, 9682, 9087, 4824, 9921, 13, 13286, 10596, 12961, 12671, 57, 6093, 4323, 3329, 3253, 9663, 11053, 6924, 10646, 12614, 6044, 8107, 1960, 10598, 12790, 1638, 11215, 3122, 11991, 11108, 13020, 13033, 12519, 11035, 6272, 8408, 2683, 5115, 7171, 371, 6322, 4477, 11811, 12403, 8213, 929, 941, 10035, 6979, 7694, 6438, 3763, 11082, 12123, 11240, 7059, 5383, 1523, 3051, 4441, 9498, 12284, 3278, 103, 4215, 7948, 9559, 13036, 13275, 7111, 2542, 2910, 2880, 8862, 1726, 9625, 10843, 830, 10336, 3734, 9699, 4841, 3149, 9408, 886, 3682, 7210, 2136, 4085, 9240, 13348, 12109, 3641, 3065, 5382, 8893, 7173, 11550, 11076, 4323, 124, 7537, 1999, 10940, 9362, 6598, 3198, 4355, 1638, 3798, 5076, 3555, 2622, 13349, 3042, 689, 2515, 1972, 7576, 3072, 7854, 3905, 41, 6438, 9032, 7097, 8675, 5396, 1501, 6204, 4472, 9348, 7648, 12252, 3973, 34, 2398, 5665, 10769, 10535, 7972, 11765, 10125, 1171, 9323, 9993, 1865, 4614, 13349, 6937, 7883, 5986, 5207, 929, 8284, 1974, 4681, 2982, 7059, 5810, 12738, 6473, 10151, 6322, 6880, 9504, 4408, 10061, 9660, 4441, 3380, 13069, 2461, 8778, 6584, 9607, 11001, 12264, 10076, 5204, 11719, 4001, 2274, 5372, 12710, 7576, 10777, 18, 9624, 11105, 4375, 3452, 6742, 6265, 12408, 2150, 13, 8439, 57, 8042, 1527, 7324, 2461, 13344, 13329, 9832, 2802, 5840, 3111, 4067, 13, 2224, 3440, 6322, 12408, 3713, 657, 4672, 2542, 13152, 5794, 24, 5314, 7104, 2136, 13335, 3452, 6430, 5334, 8265, 985, 167, 7451, 57, 10985, 10843, 3791, 9954, 830, 13337, 4653, 5505, 11997, 13019, 8, 13295, 9949, 8006, 1171, 513, 2697, 3268, 4337, 7404, 8770, 8771, 1012, 4711, 13261, 10261, 4444, 6070, 11950, 6092, 3802, 11235, 3372, 12417, 5646, 8890, 5309, 13266, 9740, 9082, 7248, 8764, 11537, 1337, 2725, 8566, 4634, 10274, 9422, 48, 12590, 11574, 8068, 6084, 11073, 9677, 10812, 6213, 1583, 1735, 1720, 3547, 4219, 3353, 8702, 11183, 11211, 1913, 9254, 8633, 6103, 5022, 157, 5168, 6190, 11517, 3231, 1965, 4228, 5456, 5432, 11235, 1053, 4534, 13349, 10204, 3977, 5462, 4789, 11860, 13323, 11342, 4648, 590, 8219, 12918, 11466, 4857, 300, 11803, 9416, 6332, 7086, 8494, 2715, 3134, 3939, 3212, 1090, 12774, 13000, 5699, 71, 3054, 8013, 7616, 6613, 815, 3702, 2284, 9971, 3117, 2706, 8151, 9584, 13086, 791, 300, 243, 5646, 5661, 5076, 12586, 48, 8098, 2384, 8145, 13336, 2464, 13349, 5407, 6758, 7606, 4765, 9660, 11047, 2113, 9912, 9470, 12426, 10629, 11276, 9989, 9220, 13349, 1638, 13299, 3122, 11331, 11752, 6532, 13333, 13312, 6818, 649, 9498, 12271, 1407, 8116, 2029, 743, 3017, 1385, 7583, 4750, 6648, 5559, 3427, 1115, 4313, 2542, 6169, 6902, 7848, 11019, 12238, 10560, 7136, 10891, 5794, 13315, 608, 4604, 7322, 6496, 3065, 10522, 8614, 1613, 1349, 13179, 5714, 9647, 12556, 11435, 7027, 8857, 970, 2262, 4308, 12213, 1517, 11395, 5923, 12903, 8256, 3766, 11969, 134, 12733, 6044, 3160, 4996, 3953, 6306, 3784, 1954, 5545, 6761, 208, 5676, 5688, 7748, 6732, 334, 13334, 5766, 7822, 12675, 10158, 7076, 7104, 3981, 11936, 5115, 12491, 12426, 12410, 3463, 1552, 11268, 2250, 3311, 12530, 4959, 9960, 7404, 11309, 12830, 1770, 4344, 13019, 10489, 7969, 5761, 12264, 3869, 8871, 991, 2888, 2311, 13334, 12815, 6093, 7121, 9971, 10940, 10486, 9359, 2296, 4740, 3595, 9439, 6656, 5532, 6520, 6818, 8568, 10090, 7704, 5514, 5248, 10069, 7784, 9713, 11342, 9660, 13204, 4433, 12647, 10151, 10964, 9590, 5777, 13042, 3207, 1358, 1371, 594, 1665, 5071, 9038, 8811, 2739, 6430, 1031, 13334, 13347, 2859, 8858, 5416, 6322, 12408, 3772, 12524, 8958, 3682, 11378, 1778, 383, 12186, 13349, 3090, 5382, 12568, 2284, 24, 7611, 13337, 869, 6350, 1506, 9647, 1804, 9386, 3520, 13338, 8829, 4163, 13248, 820, 8702, 4560, 3253, 6345, 7341, 8778, 9273, 9726, 3795, 7475, 3372, 2284, 10834, 876, 2680, 10940, 1, 8800, 5382, 8385, 8408, 11335, 7633, 9467, 2008, 9660, 10271, 8554, 805, 9452, 5372, 689, 3014, 4159, 2245, 9498, 12536, 12973, 6630, 12084, 12290, 6015, 2802, 7482, 6331, 13306, 13122, 795, 2730, 3417, 8633, 13100, 4001, 7117, 13, 6265, 7453, 6880, 3334, 2143, 10799, 10798, 12281, 10560, 6974, 6190, 4543, 3221, 2437, 1081, 1171, 331, 9993, 9086, 1110, 12874, 11714, 5195, 11953, 3964, 10076, 10528, 9508, 2014, 4648, 13020, 9298, 13015, 7060, 12364, 11777, 1447, 6903, 11533, 7640, 7948, 5356, 7849, 2279, 12610, 13148, 2649, 11252, 3021, 4832, 2542, 7592, 6606, 4061, 3342, 8702, 10209, 11351, 11903, 9292, 2184, 3896, 3525, 10009, 4950, 11834, 3784, 12220, 8536, 6660, 3065, 12250, 6696, 4464, 2087, 4269, 3274, 3239, 1374, 1778, 3682, 4609, 6165, 11526, 13312, 913, 903, 141, 3174, 4102, 13349, 7694, 6607, 1266, 5750, 8789, 9565, 1720, 10490, 12028, 3, 10596, 12955, 12346, 3772, 10964, 10953, 3088, 5022, 9150, 2715, 3769, 8254, 7115, 155, 9498, 12724, 3160, 1533, 3000, 13328, 5829, 10701, 12197, 1412, 8188, 10358, 3122, 7111, 1527, 13341, 13328, 3681, 9482, 8098, 57, 12852, 4789, 6138, 5017, 12426, 9420, 8501, 10325, 10686, 3595, 10657, 11696, 5161, 1598, 6322, 10717, 10445, 3752, 9456, 4215, 3268, 3366, 1709, 292, 739, 1488, 4658, 1511, 7492, 12271, 6029, 7028, 6841, 11899, 7404, 7453, 6187, 1198, 4735, 1638, 1643, 4269, 3274, 3999, 6044, 12395, 2693, 11233, 4300, 11960, 11956, 563, 11197, 12157, 2542, 2507, 8725, 8369, 3784, 12187, 6006, 9691, 11078, 9015, 11834, 7115, 9486, 10570, 12444, 2184, 2193, 9880, 6231, 3507, 7136, 9719, 12021, 4253, 3443, 48, 2292, 2245, 5259, 8054, 13344, 4417, 2781, 4672, 8074, 1735, 8677, 7266, 5093, 3432, 13349, 6387, 141, 3748, 11860, 3595, 8909, 9494, 8086, 12749, 3372, 3412, 6220, 4423, 467, 13334, 11135, 10926, 11907, 2274, 13235, 3652, 11894, 2250, 836, 13257, 11502, 9552, 11053, 12921, 6125, 13245, 11896, 6974, 3744, 2090, 3097, 10233, 9086, 4075, 2258, 2250, 7175, 4243, 3202, 3154, 2289, 4565, 2726, 1729, 8633, 1132, 12306, 2846, 6272, 2725, 3122, 1658, 6606, 1028, 12213, 2717, 8453, 6228, 5118, 5766, 7294, 7615, 8952, 12677, 9660, 10314, 12625, 9846, 3198, 3798, 6092, 6982, 8585, 7145, 9072, 12631, 54, 4711, 1895, 9584, 13080, 1544, 11372, 3668, 12928, 4411, 34, 5309, 2405, 11073, 8542, 10556, 12474, 3957, 13338, 11555, 7870, 5856, 995, 11580, 3791, 12614, 2649, 7720, 4450, 698, 1388, 2777, 1852, 1506, 9641, 7589, 6010, 7854, 10076, 5204, 3292, 2024, 163, 3065, 7576, 7854, 8109, 12384, 9798, 8024, 5248, 12223, 7186, 5975, 8289, 2163, 6770, 3297, 2090, 998, 2726, 3046, 3244, 6730, 10609, 10134, 9907, 10613, 7778, 7595, 6607, 9171, 815, 2184, 8944, 4686, 11584, 7225, 8702, 8699, 1514, 4450, 5188, 8773, 5356, 908, 6916, 4366, 1171, 309, 4624, 13324, 7494, 7404, 2726, 2395, 266, 1081, 6322, 10768, 7891, 7289, 899, 7948, 3855, 11574, 1204, 6989, 9038, 9035, 9851, 11498, 12928, 8013, 8906, 11800, 7202, 6103, 8459, 2262, 11560, 12722, 3702, 3032, 7180, 13217, 6060, 12299, 2437, 2444, 11004, 11496, 1517, 12252, 3973, 9140, 2024, 9945, 6809, 9571, 5144, 6180, 4865, 10961, 1872, 10767, 3544, 4441, 9332, 6598, 871, 10382, 9793, 9576, 1756, 13261, 11701, 8111, 57, 3353, 4034, 3231, 4681, 3154, 4467, 5346, 7954, 2109, 725, 1840, 1439, 2568, 4902, 2184, 10829, 863, 6278, 3274, 6584, 1514, 7764, 13336, 4720, 10363, 10352, 844, 9195, 5049, 13018, 12892, 6161, 8564, 7831, 3682, 11009, 1840, 85, 5124, 9660, 10429, 13109, 12449, 3372, 10773, 11522, 6180, 11053, 9046, 12961, 12959, 9627, 6269, 12161, 6228, 9691, 3816, 9264, 4725, 10895, 10899, 24, 5041, 11222, 57, 10467, 9456, 7992, 10691, 6044, 8026, 12658, 12395, 11651, 8633, 6103, 13324, 4522, 10612, 11391, 3812, 5152, 836, 12092, 8690, 12936, 11449, 12756, 1412, 5646, 8892, 6070, 7128, 4275, 6730, 6726, 38, 8601, 5365, 260, 5368, 13040, 1979, 3307, 12187, 13332, 6635, 7280, 6055, 7576, 13, 9687, 4249, 4857, 3, 13291, 10596, 10982, 12259, 7136, 7132, 10981, 3207, 6093, 10940, 10438, 5723, 10285, 11678, 6322, 5329, 132, 5086, 6202, 12874, 6887, 1559, 1337, 4346, 1358, 3983, 10296, 3231, 1665, 3657, 7213, 6103, 6915, 11926, 3127, 1658, 10263, 4317, 2521, 13090, 3207, 6093, 8826, 3307, 1735, 9470, 2609, 395, 3187, 6228, 6880, 4411, 5931, 3, 12213, 1517, 12612, 5279, 9353, 6265, 13194, 9591, 12945, 3784, 13148, 2726, 808, 6093, 12746, 3065, 4042, 3131, 10073, 10613, 8256, 10016, 2096, 4579, 3187, 8219, 12918, 8544, 3127, 6358, 10392, 10613, 3932, 9132, 13336, 13179, 5794, 7256, 11724, 10174, 11259, 11271, 12136, 3231, 12424, 12492, 9023, 5891, 5895, 791, 3111, 6122, 8387, 3791, 11744, 5533, 7599, 6666, 8905, 8781, 9759, 10434, 6065, 2620, 3202, 12774, 12256, 5179, 10813, 12805, 9498, 3287, 3292, 2105, 795, 9332, 5670, 2687, 9832, 10236, 2715, 3134, 4716, 11276, 11322, 10905, 10902, 9279, 8655, 11877, 9129, 9150, 1689, 5616, 4629, 1638, 3360, 4212, 3258, 4327, 1466, 10044, 13061, 1581, 12382, 3177, 9828, 3149, 5191, 4176, 6436, 9742, 9442, 10771, 10508, 8249, 2982, 4629, 4970, 12061, 1501, 6574, 7592, 8149, 5228, 9082, 12083, 12079, 8551, 6695, 6929, 8867, 11805, 5346, 12277, 8408, 4113, 3249, 2396, 2008, 12233, 7227, 10125, 11791, 10560, 2452, 5382, 3825, 12559, 6316, 10895, 11080, 10609, 10133, 9856, 10059, 11730, 10360, 9548, 7219, 11960, 7373, 11197, 12168, 4950, 10076, 7467, 3302, 4677, 4883, 13315, 1840, 9635, 7945, 12619, 6044, 12516, 4450, 11776, 3634, 6809, 3885, 8917, 5313, 1035, 13234, 11815, 11435, 5759, 10840, 10872, 10320, 9160, 4653, 9087, 9576, 13080, 12781, 2799, 4203, 6532, 596, 7111, 1110, 4122, 2542, 8249, 11879, 9467, 4379, 8690, 11537, 2708, 12584, 2810, 12961, 7828, 12687, 6088, 9028, 8292, 8919, 7128, 5318, 12013, 6026, 12273, 1, 3791, 830, 8188, 6651, 5341, 632, 3606, 711, 1471, 2489, 1943, 4817, 7404, 4600, 11240, 12411, 863, 8743, 13229, 2726, 11691, 3525, 13201, 10916, 2978, 9154, 4658, 6584, 1514, 8329, 4551, 7379, 5372, 12766, 12256, 3, 2171, 8013, 8481, 10736, 2292, 1974, 7027, 11048, 6415, 12322, 6649, 6228, 8459, 6593, 4875, 245, 3065, 11772, 5262, 8953, 9063, 7056, 5810, 3134, 4467, 12372, 3032, 6915, 3182, 4614, 2024, 9548, 10504, 10409, 10975, 5377, 11960, 11954, 1358, 11151, 9888, 13148, 12502, 10861, 2379, 4176, 6322, 639, 4681, 4817, 374, 1506, 9480, 12187, 3747, 1857, 7778, 10606, 10160, 9908, 4067, 6730, 10282, 9563, 3040, 5505, 3372, 12171, 12183, 6588, 11307, 9576, 13335, 3149, 4344, 2946, 9660, 4433, 170, 12640, 8204, 9536, 10817, 2630, 6093, 8411, 8098, 12974, 12254, 13141, 11748, 13018, 5282, 2726, 10447, 13137, 2542, 12878, 11176, 117, 12044, 12658, 6828, 1297, 9561, 11560, 13037, 12518, 6068, 7829, 12680, 1171, 11831, 694, 5253, 7352, 260, 1098, 8377, 10010, 8153, 3065, 12927, 8543, 13311, 5502, 6532, 13203, 11647, 12411, 11112, 6265, 12408, 9641, 8474, 1358, 13176, 9501, 9085, 8088, 12232, 1171, 341, 3131, 1533, 5112, 57, 2815, 8844, 8807, 2739, 1069, 5720, 7534, 2245, 445, 13306, 3149, 2425, 8100, 9703, 7966, 5873, 12539, 1726, 19, 11440, 3231, 9044, 6142, 10486, 38, 3960, 6145, 5054, 4794, 4740, 13327, 11923, 5462, 7606, 11076, 12248, 3662, 8311, 5992, 7849, 5352, 6966, 2645, 8942, 7672, 869, 5621, 4841, 7276, 12636, 11570, 8758, 11813, 4837, 7027, 3763, 7121, 155, 5583, 13349, 9000, 8945, 8438, 2365, 10949, 10486, 9487, 4296, 11523, 9414, 903, 12636, 8019, 9832, 249, 1098, 7311, 5028, 5204, 13334, 7917, 5613, 7039, 7599, 6002, 11842, 10719, 13275, 3274, 5646, 5661, 12188, 795, 5958, 6924, 1527, 6601, 4906, 9960, 2179, 1273, 10204, 10245, 295, 13349, 6773, 5399, 3138, 4275, 13349, 4740, 4794, 270, 6215, 513, 6044, 3798, 8815, 8977, 11953, 9576, 7180, 11821, 12595, 11051, 13020, 13033, 11696, 12837, 4797, 13349, 13047, 11637, 9603, 10847, 1635, 5676, 8042, 12972, 5325, 67, 2715, 3769, 6764, 12668, 2258, 9647, 8036, 10858, 10854, 5805, 1171, 9319, 13280, 5730, 13051, 11777, 11766, 10793, 9560, 6449, 1069, 10654, 9858, 10483, 4929, 8408, 11933, 2344, 8286, 1908, 10894, 8814, 12997, 6291, 8339, 2542, 1611, 1581, 3483, 292, 13349, 8991, 7064, 11933, 3739, 1171, 5368, 13048, 12710, 6847, 6002, 8928, 6623, 12757, 12066, 12271, 11299, 11338, 10253, 4837, 3595, 4126, 9242, 2171, 735, 5533, 12227, 6902, 844, 5885, 6855, 12792, 12487, 11208, 1132, 791, 12098, 11388, 584, 4648, 11440, 3812, 5062, 12640, 141, 12658, 12657, 9989, 945, 2078, 3174, 2289, 9691, 8162, 4984, 3025, 4433, 174, 5382, 12558, 10872, 10320, 9143, 4658, 9179, 13334, 3657, 10612, 1121, 2564, 5232, 12608, 11574, 12726, 5368, 3221, 9798, 3436, 10864, 9167, 601, 13260, 3748, 10371, 13125, 6621, 7778, 10295, 10734, 8724, 8476, 8459, 8450, 6125, 5245, 10968, 13037, 6925, 2284, 5346, 8476, 2090, 1492, 4980, 2985, 12419, 9605, 9600, 3758, 11983, 7104, 2452, 1092, 2551, 3231, 1824, 2270, 2656, 13203, 4435, 11550, 2405, 8357, 3292, 1597, 4071, 48, 51, 7107, 6633, 2741, 8256, 10497, 4614, 1647, 6158, 13234, 1447, 685, 13339, 7175, 10053, 3791, 12617, 9494, 3102, 5080, 344, 7592, 6249, 4794, 10940, 978, 3935, 11082, 412, 38, 3960, 4275, 3307, 3234, 7576, 3072, 6804, 5031, 4813, 57, 5987, 2897, 5805, 3657, 8690, 8958, 9501, 8407, 9783, 13, 9892, 11610, 9445, 9004, 6026, 1523, 11537, 5739, 12757, 8984, 8990, 12281, 11964, 11007, 6730, 4455, 11495, 3421, 3292, 8386, 7895, 13337, 6950, 11471, 8219, 1840, 1824, 3225, 4122, 1069, 1096, 8645, 2583, 3758, 13334, 7910, 8122, 5352, 6152, 7136, 9719, 8888, 4231, 5365, 711, 5352, 7507, 11576, 6309, 8861, 5805, 4067, 795, 7776, 6190, 4543, 3614, 4658, 8046, 6760, 7599, 5404, 13313, 6475, 8509, 8511, 7655, 8606, 5759, 6730, 12901, 11721, 12217, 7188, 11887, 9025, 8015, 1075, 4400, 12774, 7320, 12259, 4771, 1007, 10076, 9470, 10438, 10738, 7030, 8219, 11842, 8386, 10331, 10655, 13344, 13329, 8363, 4384, 12831, 853, 858, 127, 191, 1025, 3, 12612, 8401, 9566, 5141, 12009, 12015, 2797, 3871, 28, 2725, 7104, 11917, 7849, 6959, 6934, 7529, 13, 11846, 9300, 3, 7173, 11580, 10009, 11706, 13148, 3324, 3023, 2602, 9283, 3065, 13297, 2942, 3772, 5382, 13176, 5714, 11027, 7771, 7173, 791, 7517, 11807, 3881, 8584, 830, 1726, 262, 6332, 4992, 6265, 5745, 7811, 11327, 3160, 3177, 3798, 1044, 7792, 5200, 6044, 392, 7042, 7121, 5005, 1171, 513, 1204, 2726, 2128, 10026, 1475, 6887, 7821, 1624, 1517, 10087, 7682, 8628, 374, 2184, 10829, 10085, 540, 7140, 5676, 8084, 5663, 12976, 3025, 13349, 11937, 9850, 11477, 3207, 10053, 7857, 10890, 6820, 1207, 11960, 7585, 4857, 6394, 9154, 6730, 8314, 2289, 895, 12070, 57, 2327, 2245, 4706, 921, 10279, 1651, 3725, 11411, 5241, 5646, 8893, 6084, 10040, 10510, 2542, 1418, 601, 2029, 4988, 1492, 2058, 2910, 4808, 260, 6674, 8543, 12241, 3795, 7897, 7097, 13310, 12641, 13157, 12782, 1492, 6133, 5269, 8448, 11259, 7948, 5377, 6855, 12984, 12081, 6438, 9776, 9487, 786, 7553, 6322, 10674, 2592, 8212, 4923, 13047, 11637, 9603, 4190, 6649, 1358, 13335, 4435, 2779, 574, 10591, 9562, 13310, 1108, 8344, 12874, 6588, 774, 3722, 1840, 3734, 786, 1895, 4411, 3360, 3065, 2262, 8666, 3758, 4366, 3595, 9047, 3686, 2284, 4435, 8633, 2255, 1492, 11831, 7446, 13261, 5335, 10105, 9674, 10798, 13235, 4052, 3612, 2230, 1307, 743, 11078, 12889, 12197, 800, 5291, 8964, 3693, 11539, 7946, 6002, 9498, 4212, 110, 3231, 8013, 7616, 11855, 8360, 2355, 791, 300, 3268, 371, 4619, 9332, 6598, 8038, 6174, 2234, 96, 2666, 2207, 2635, 3244, 2090, 975, 2731, 460, 3316, 13334, 7645, 4519, 9969, 5492, 8789, 12810, 11555, 18, 3725, 11391, 8405, 10483, 9455, 9737, 8419, 9866, 7831, 10069, 5204, 10872, 10772, 7793, 8345, 8601, 5248, 6577, 1436, 643, 4430, 10537, 10776, 12403, 12752, 8673, 10363, 11712, 10061, 5782, 3348, 11440, 13169, 8877, 3002, 12186, 12658, 2820, 6641, 5794, 7132, 9576, 9569, 5377, 6142, 9875, 6584, 3353, 1514, 1439, 8346, 10836, 7537, 9677, 5968, 2284, 2270, 5339, 232, 811, 8736, 11659, 11649, 2109, 3763, 8829, 13179, 5880, 5923, 858, 509, 7097, 13310, 10855, 8032, 10402, 13201, 13196, 9642, 1851, 7154, 9798, 9802, 9058, 6298, 7899, 1496, 6902, 6178, 3719, 6012, 3372, 8673, 12220, 11565, 5301, 8294, 11868, 5124, 75, 6304, 12213, 9012, 11369, 11774, 3734, 8024, 8657, 5368, 1115, 9033, 48, 2292, 5785, 11486, 9437, 9482, 3149, 11860, 11811, 6568, 7521, 10813, 4944, 438, 6465, 5646, 714, 1961, 6285, 4824, 5796, 10033, 5777, 7564, 8408, 5766, 6648, 12614, 3791, 7287, 8250, 10304, 8442, 5545, 7940, 3769, 8930, 8973, 6990, 3090, 2452, 6628, 3239, 10831, 2176, 12395, 6084, 3127, 4404, 8078, 11887, 5805, 1110, 11106, 3198, 10895, 10897, 12743, 9846, 3421, 6859, 6097, 747, 8296, 1159, 2258, 11866, 7642, 5711, 79, 6265, 12408, 9641, 1475, 2736, 57, 12852, 12419, 8295, 7128, 6322, 10543, 5789, 6325, 12577, 1488, 739, 3174, 4467, 1845, 4450, 362, 12301, 8583, 13173, 6924, 5789, 12292, 13159, 8092, 12874, 8705, 4323, 3, 3207, 9670, 10108, 6097, 4604, 4186, 10392, 10380, 6039, 7679, 9246, 10052, 3791, 5765, 6479, 12225, 8633, 2842, 1, 7124, 9613, 10721, 10726, 4141, 8121, 3182, 3372, 12171, 2638, 6111, 11469, 2687, 2207, 11509, 13183, 3780, 2270, 10633, 12048, 881, 8454, 7136, 10711, 5875, 6335, 316, 12310, 6613, 1569, 1274, 4423, 2405, 10151, 9504, 9207, 523, 11189, 11197, 1671, 12052, 12148, 11821, 13219, 11418, 876, 3239, 10870, 948, 9200, 9815, 473, 11391, 6613, 12327, 11996, 13335, 6026, 7818, 5796, 3941, 3752, 38, 10594, 6122, 5017, 3436, 7742, 4390, 4509, 11779, 5603, 6760, 11541, 6763, 3795, 9879, 13037, 13043, 10981, 7650, 12083, 13315, 12201, 5424, 10250, 7115, 1735, 3547, 5011, 4379, 625, 13328, 4672, 13173, 7032, 11544, 10650, 12523, 13101, 9729, 9653, 7576, 18, 8428, 13274, 9480, 1638, 2635, 4444, 1462, 3486, 2715, 6557, 5121, 721, 7115, 7404, 8770, 8551, 12314, 5293, 7117, 9486, 10702, 2201, 10698, 1358, 4502, 6436, 13312, 4677, 13148, 11997, 12362, 12310, 11616, 12271, 12261, 767, 4614, 7426, 6322, 6345, 5713, 10825, 8952, 6002, 7878, 9632, 9807, 1735, 11440, 13282, 4555, 6130, 3307, 2279, 5368, 12622, 12064, 6111, 2452, 800, 7092, 751, 5909, 9498, 12271, 1407, 10524, 10040, 7968, 4914, 5427, 292, 7273, 6970, 11899, 6867, 1478, 5819, 13021, 12534, 4082, 6442, 5368, 6371, 6345, 1801, 4667, 8696, 6044, 2284, 6630, 3739, 8063, 7453, 11309, 11304, 12798, 7799, 13257, 2756, 10742, 9644, 9294, 6026, 8428, 7615, 10008, 12278, 8748, 8294, 6097, 11921, 5049, 11189, 11211, 2008, 9240, 9896, 7087, 9677, 11071, 8915, 6874, 9038, 9373, 4037, 12309, 12491, 2405, 10645, 9114, 9076, 5286, 3160, 2289, 4551, 2071, 4176, 11391, 7657, 5516, 455, 5880, 6730, 3973, 1066, 1837, 2292, 11001, 11002, 12777, 1533, 11632, 7202, 10604, 4056, 4849, 188, 9699, 7595, 10474, 9171, 5708, 10059, 10482, 12800, 6473, 4355, 11887, 3831, 1003, 11108, 3231, 1236, 424, 2673, 2039, 3000, 5646, 8890, 5974, 1861, 890, 10894, 11623, 11688, 114, 2109, 1898, 3776, 1393, 2910, 7628, 2270, 11574, 2645, 3742, 7595, 2184, 2193, 4284, 8678, 3329, 3127, 1658, 11774, 12369, 2292, 10026, 8242, 530, 1517, 4992, 11777, 13191, 12933, 11498, 6963, 12774, 6199, 12975, 12885, 1092, 249, 11049, 8047, 10618, 9542, 1527, 5752, 7700, 6697, 8821, 9332, 8818, 11926, 3663, 12701, 13316, 6097, 7107, 6240, 3677, 10076, 10528, 5382, 7463, 12939, 9414, 2043, 9682, 9086, 2609, 2542, 3131, 4963, 9070, 12739, 13315, 6097, 6669, 10011, 8902, 2279, 476, 1236, 5709, 8137, 8861, 13324, 4604, 5424, 2879, 9708, 2371, 10092, 3672, 167, 10489, 960, 10838, 10991, 5325, 2452, 2470, 5382, 12617, 3338, 6593, 917, 7836, 6136, 7254, 3065, 9129, 5053, 9974, 10431, 12213, 7854, 2109, 11022, 10668, 9063, 7959, 8479, 7104, 256, 9660, 11047, 4865, 1, 12867, 12395, 3638, 2111, 12052, 11319, 6265, 9317, 5640, 10305, 10338, 3973, 10109, 10613, 11379, 3282, 7097, 1559, 3624, 11885, 5877, 38, 9267, 9261, 7848, 41, 1598, 3239, 3957, 3212, 594, 8509, 5556, 5545, 6122, 7636, 1527, 11069, 12705, 7234, 7064, 6322, 5232, 227, 5545, 4980, 13257, 6907, 8265, 7865, 6502, 8464, 13145, 7128, 12066, 12434, 13090, 13304, 4604, 13324, 12026, 6532, 13346, 657, 4914, 4757, 7117, 9490, 13336, 13225, 2267, 8773, 10975, 8265, 5245, 12552, 9576, 13080, 11803, 2836, 11351, 8256, 3122, 10987, 5323, 10582, 3734, 1837, 213, 3292, 4143, 11737, 13120, 6297, 291, 5171, 12754, 7564, 11654, 12264, 12955, 3766, 1782, 316, 6340, 5156, 96, 2666, 6093, 3278, 5274, 7404, 10271, 13061, 12136, 6075, 6043, 3177, 3110, 12939, 2166, 1898, 10295, 10356, 7796, 7111, 11529, 13191, 12466, 12081, 1096, 10870, 5975, 7069, 7892, 3652, 1496, 2645, 3080, 3586, 12399, 791, 12104, 85, 7540, 3370, 3734, 7049, 11082, 3902, 2642, 9605, 10168, 3780, 13239, 13034, 5372, 643, 1436, 2642, 3607, 8690, 8693, 3353, 10653, 2131, 5291, 10861, 6912, 8121, 6258, 11659, 2456, 11512, 6187, 5802, 6228, 863, 3249, 9085, 8499, 57, 11846, 11217, 12754, 6610, 2405, 1492, 4472, 8520, 11872, 10894, 7355, 12003, 2267, 4701, 8024, 7608, 12826, 13339, 8715, 6026, 9663, 12188, 677, 11369, 830, 8213, 7844, 12894, 9057, 2258, 2250, 7175, 10061, 10775, 2717, 6107, 13324, 11855, 4857, 6002, 5015, 3914, 3160, 3207, 8459, 9595, 10388, 9427, 9792, 711, 1471, 11083, 11169, 12146, 7136, 10861, 8047, 2736, 8919, 2211, 3912, 3452, 2746, 2299, 1671, 3122, 10806, 5714, 8046, 7829, 5341, 5752, 13075, 13071, 10076, 7208, 3667, 2136, 8466, 8013, 13188, 6610, 12058, 8948, 2207, 8498, 5949, 8856, 4366, 1671, 9597, 11559, 13167, 871, 10894, 10901, 11042, 12855, 10569, 10872, 11608, 10084, 3, 4052, 10363, 9285, 975, 8123, 12426, 13018, 7034, 5912, 13090, 9375, 13349, 10141, 10697, 2139, 422, 9605, 10511, 11826, 7128, 3606, 2542, 8754, 5396, 1744, 213, 12608, 11010, 10548, 9076, 9461, 12183, 3517, 8231, 4287, 295, 7890, 13336, 7597, 4346, 6381, 4450, 8494, 10794, 5368, 725, 8509, 10834, 1701, 8024, 3122, 8861, 7986, 7972, 8042, 3360, 5646, 9365, 1961, 3784, 5887, 13108, 8340, 13098, 5770, 6917, 11960, 7729, 853, 9258, 10383, 9759, 2889, 2084, 9086, 3412, 2725, 8566, 8196, 4629, 12433, 3292, 3297, 3076, 929, 4159, 10279, 519, 501, 1544, 10018, 3174, 4010, 3231, 5031, 6289, 4404, 3389, 5510, 2128, 672, 13234, 12639, 6130, 8134, 9620, 9332, 9340, 8043, 13306, 2516, 10591, 2628, 4980, 523, 1337, 7087, 3669, 7188, 12117, 6881, 5766, 7374, 11996, 6942, 4205, 9915, 9929, 948, 10291, 2234, 1671, 11793, 12311, 3612, 5269, 13201, 4555, 8730, 7271, 6425, 6228, 12408, 9634, 1991, 5360, 11440, 13169, 276, 11342, 6425, 4450, 7595, 2605, 6039, 5604, 2270, 10633, 9455, 2715, 3833, 2179, 7746, 5652, 3282, 2993, 260, 815, 200, 970, 2329, 6517, 5248, 1511, 11931, 5705, 5080, 5096, 11872, 10825, 10820, 6026, 8289, 2143, 9378, 9969, 5988, 6946, 7882, 6601, 4648, 8275, 6892, 11872, 12238, 9868, 7948, 4720, 5456, 7608, 6773, 57, 8948, 8534, 11826, 2893, 3111, 5737, 7175, 3264, 6241, 9414, 9412, 12898, 6033, 800, 12213, 1517, 6922, 8966, 1125, 2211, 3912, 3455, 10243, 1190, 3734, 3725, 774, 1506, 5306, 13278, 11550, 8213, 6092, 876, 6809, 12296, 1581, 12625, 2423, 11580, 12270, 12271, 5772, 8178, 8855, 3694, 1533, 12526, 4435, 13037, 8928, 10847, 3641, 5727, 2542, 2560, 12717, 11903, 8, 12874, 12882, 2645, 5017, 10743, 8383, 10849, 8386, 9740, 9294, 6322, 654, 5236, 1337, 1940, 791, 2267, 5800, 9455, 6776, 13021, 9670, 10094, 7154, 4186, 9397, 12705, 10575, 3062, 6907, 11777, 11783, 5241, 6645, 3489, 3177, 9676, 11800, 10747, 2463, 1598, 3239, 3861, 3182, 3170, 5204, 10069, 12241, 9766, 2726, 4215, 9042, 7631, 11863, 2374, 8702, 5777, 5765, 1, 7620, 6265, 754, 12380, 9923, 2211, 9811, 3202, 6902, 4667, 2018, 5796, 8903, 9060, 11761, 3755, 5291, 8465, 8476, 8965, 6785, 10940, 8549, 6782, 1511, 12472, 9647, 1794, 11917, 2346, 1382, 6532, 11066, 3107, 10452, 12386, 3734, 7716, 7714, 8993, 815, 6070, 1826, 1832, 7601, 12905, 1898, 10192, 10183, 114, 10492, 1527, 2289, 1217, 410, 13013, 3127, 8928, 6075, 7022, 9617, 11887, 4590, 13312, 7345, 6778, 8098, 322, 6442, 2382, 1119, 249, 8558, 1870, 3319, 4109, 8633, 10745, 10982, 10564, 5286, 10535, 10530, 7547, 10823, 786, 12912, 10602, 10774, 11030, 921, 11818, 11842, 357, 7325, 5144, 1237, 424, 5717, 1701, 2503, 249, 4579, 4614, 5464, 6633, 1310, 485, 6502, 3239, 4760, 5248, 8964, 3758, 10785, 7510, 6515, 537, 4963, 5115, 7502, 260, 1514, 11846, 11676, 12340, 11960, 11956, 8030, 7121, 2337, 8861, 5805, 3733, 6165, 8131, 6557, 4512, 10067, 10719, 7218, 13261, 10263, 1147, 10034, 1949, 9332, 6630, 13337, 9697, 1255, 8275, 7997, 5253, 7349, 167, 1898, 10967, 9740, 9474, 6026, 6044, 12715, 8529, 12548, 1804, 10489, 6093, 8653, 79, 11846, 10591, 10475, 10958, 12916, 786, 8509, 8511, 10670, 7844, 9248, 8013, 12391, 3791, 2048, 5765, 9129, 5054, 7219, 374, 4771, 7829, 6294, 7166, 1675, 11911, 6934, 11057, 13188, 7578, 1792, 3657, 10864, 10817, 9477, 7259, 791, 300, 236, 11363, 2267, 8292, 3405, 4327, 117, 965, 57, 10467, 9252, 12106, 9147, 8117, 12743, 2759, 6092, 8612, 6322, 10786, 3853, 7918, 5467, 57, 12849, 13042, 9403, 10238, 9332, 5313, 2708, 2725, 3131, 9708, 5693, 8042, 903, 7990, 1598, 1583, 3717, 1382, 2395, 13278, 6060, 13275, 7111, 12793, 5634, 12777, 8905, 1069, 12986, 555, 4653, 6486, 4760, 6122, 5796, 4487, 286, 13202, 6425, 8023, 11727, 10059, 12809, 12505, 8013, 5740, 8026, 11529, 10264, 12658, 12286, 7802, 9399, 4902, 711, 4460, 12555, 12181, 1714, 10949, 10414, 5175, 10838, 9225, 11076, 12235, 96, 12458, 3699, 6322, 4518, 5386, 8225, 7244, 1898, 10767, 9086, 9525, 4117, 830, 10835, 10489, 9977, 2204, 2542, 4366, 7345, 1537, 4980, 10392, 13210, 12646, 805, 7082, 9576, 8782, 8968, 6579, 7818, 57, 10985, 13007, 1774, 9924, 10076, 6145, 13107, 3198, 11929, 8023, 8428, 4293, 11574, 7322, 1598, 3239, 4089, 3278, 677, 10905, 10902, 826, 7848, 5931, 8244, 4996, 8225, 2628, 6355, 7404, 13195, 9594, 9419, 12949, 6002, 11842, 11831, 10747, 11384, 1671, 3122, 12920, 9584, 10518, 9605, 10168, 10169, 10686, 4940, 711, 12850, 4784, 6553, 4697, 10961, 8070, 10441, 11829, 11148, 8778, 6984, 9674, 6811, 2822, 12928, 6652, 4984, 5583, 134, 6265, 3405, 7037, 5927, 4284, 5204, 5222, 2245, 3154, 3401, 8984, 2825, 5567, 4604, 12006, 13334, 6776, 119, 10010, 800, 8855, 8859, 11288, 5071, 11192, 13234, 2739, 2321, 1090, 485, 9660, 10429, 791, 10660, 10892, 6228, 6880, 4411, 10622, 4681, 743, 8432, 3672, 2217, 4472, 9332, 3149, 3177, 4037, 1711, 11803, 9416, 6332, 7086, 12989, 6044, 8107, 7320, 8768, 11738, 6023, 10049, 7117, 8890, 4396, 8665, 6773, 820, 8428, 11425, 10042, 791, 7121, 4430, 2024, 5286, 13028, 6601, 13271, 6328, 6730, 12393, 13314, 12818, 10035, 12874, 10264, 12855, 5118, 2158, 13344, 9477, 7983, 11014, 5854, 3025, 689, 2492, 12419, 11327, 12961, 12946, 13251, 10944, 5608, 13257, 8817, 5681, 10090, 2762, 10961, 4100, 7805, 11964, 141, 7404, 8024, 9872, 5124, 276, 8633, 8632, 8484, 11617, 19, 8419, 8958, 5996, 7931, 10588, 8408, 2680, 8261, 2274, 4828, 10535, 11055, 11834, 10791, 3212, 9670, 13006, 10094, 6142, 12901, 2875, 2882, 10902, 9132, 7175, 11391, 11373, 7431, 5184, 4005, 8013, 5936, 6535, 6910, 820, 9605, 9600, 6983, 12308, 8566, 11821, 12206, 6568, 11852, 1332, 8031, 5842, 4594, 4634, 5441, 12608, 11560, 6371, 2163, 3727, 6438, 8800, 2020, 3302, 8043, 1385, 7592, 2284, 7771, 13323, 9038, 9035, 13281, 5365, 10964, 13284, 7854, 7251, 1078, 5622, 7087, 4507, 1852, 1396, 2542, 10949, 10636, 10313, 1049, 5054, 7890, 13337, 5869, 6813, 7048, 3065, 10522, 10523, 9087, 3663, 13021, 848, 7573, 1901, 253, 9647, 1801, 1506, 3747, 786, 4423, 1315, 5232, 611, 3552, 8266, 12916, 2289, 1969, 7778, 6934, 12933, 1533, 6756, 5597, 5777, 10299, 7711, 12233, 8492, 6026, 8664, 6117, 9082, 894, 8743, 8061, 840, 3795, 11547, 3372, 4433, 8566, 1910, 1132, 11580, 9719, 8341, 2128, 12325, 7090, 5962, 9054, 10589, 848, 2270, 12285, 7503, 7624, 13162, 6187, 4565, 7556, 6345, 4644, 5637, 3829, 7693, 8398, 5554}; + unsigned int BorderCounts[45] = {778, 729, 782, 435, 397, 676, 685, 901, 425, 285, 498, 293, 217, 495, 264, 182, 253, 140, 131, 237, 162, 121, 418, 173, 382, 246, 185, 122, 147, 105, 132, 86, 502, 255, 373, 198, 227, 141, 160, 128, 127, 118, 11, 13, 15}; + float Borders[13350] = {0.201786965f, 0.201872587f, 0.203571707f, 0.203651622f, 0.203691661f, 0.203794062f, 0.205407545f, 0.205429137f, 0.205470622f, 0.205581158f, 0.205690265f, 0.207176179f, 0.207222834f, 0.207348555f, 0.20735389f, 0.208996207f, 0.20905906f, 0.209139109f, 0.209202647f, 0.211003914f, 0.211025506f, 0.212864771f, 0.212889522f, 0.214608237f, 0.214743257f, 0.214860678f, 0.216503769f, 0.216590613f, 0.21672298f, 0.216828734f, 0.216982767f, 0.218428105f, 0.21852392f, 0.218724772f, 0.218734592f, 0.21895951f, 0.220297247f, 0.220383942f, 0.220755354f, 0.220843017f, 0.222500816f, 0.224679634f, 0.22606416f, 0.226134211f, 0.226286113f, 0.228048578f, 0.22999078f, 0.230211139f, 0.230581552f, 0.232128769f, 0.232334927f, 0.232463434f, 0.234080136f, 0.234274998f, 0.234401241f, 0.234949574f, 0.236119807f, 0.236328885f, 0.238237083f, 0.238803744f, 0.240316778f, 0.240335241f, 0.241988912f, 0.242322177f, 0.243987352f, 0.244248688f, 0.244567126f, 0.24464713f, 0.244675338f, 0.24628967f, 0.246613994f, 0.246653169f, 0.248249546f, 0.248597682f, 0.248767138f, 0.248814851f, 0.250225544f, 0.250358462f, 0.250534892f, 0.250968456f, 0.252417296f, 0.254365563f, 0.254512608f, 0.254720986f, 0.255169809f, 0.255314708f, 0.256623149f, 0.256643414f, 0.256911427f, 0.257303357f, 0.258839965f, 0.259194314f, 0.260883391f, 0.261412799f, 0.262906611f, 0.262916625f, 0.263869703f, 0.264949441f, 0.265111715f, 0.265690446f, 0.267001063f, 0.267352343f, 0.268030524f, 0.268277824f, 0.269682169f, 0.270199776f, 0.272420257f, 0.272445679f, 0.274270833f, 0.274555475f, 0.27470383f, 0.276563376f, 0.276867747f, 0.278908521f, 0.278937578f, 0.279133677f, 0.28098762f, 0.281197011f, 0.283348858f, 0.283521712f, 0.285115838f, 0.286305904f, 0.287444323f, 0.287766427f, 0.288029015f, 0.290048182f, 0.290902019f, 0.292542726f, 0.292594314f, 0.293210566f, 0.294450164f, 0.294870228f, 0.294904679f, 0.297250509f, 0.297297001f, 0.297379702f, 0.298007131f, 0.299183905f, 0.299732089f, 0.300454736f, 0.301472366f, 0.30194062f, 0.302081734f, 0.302160203f, 0.302848041f, 0.305222213f, 0.306340754f, 0.306916863f, 0.306946635f, 0.307694137f, 0.308848679f, 0.309202909f, 0.309452713f, 0.311502337f, 0.311778069f, 0.313373446f, 0.313960373f, 0.315861851f, 0.316435575f, 0.316554129f, 0.317462981f, 0.318532109f, 0.319870234f, 0.320856273f, 0.321063697f, 0.321191013f, 0.322214663f, 0.323544919f, 0.323614925f, 0.324681491f, 0.326075464f, 0.326168954f, 0.326741993f, 0.327126861f, 0.328462124f, 0.328668326f, 0.329306901f, 0.329690993f, 0.331230521f, 0.33130008f, 0.331826866f, 0.332199514f, 0.333824217f, 0.334225535f, 0.334785491f, 0.336411506f, 0.339047313f, 0.339367509f, 0.341077924f, 0.341837525f, 0.342641711f, 0.343775839f, 0.344119996f, 0.345285088f, 0.346881688f, 0.347809047f, 0.349641711f, 0.349765033f, 0.352393627f, 0.353298604f, 0.354490638f, 0.354952574f, 0.355110765f, 0.357420862f, 0.357951254f, 0.360016763f, 0.36049673f, 0.361391783f, 0.362794608f, 0.364035368f, 0.366405666f, 0.366586268f, 0.367937356f, 0.368293971f, 0.369487882f, 0.371003151f, 0.371709406f, 0.372023106f, 0.374543875f, 0.375005215f, 0.376903683f, 0.377447307f, 0.378099978f, 0.379803181f, 0.380249441f, 0.380625665f, 0.380938292f, 0.382593811f, 0.382662475f, 0.383186728f, 0.383583575f, 0.383724809f, 0.385542035f, 0.385999918f, 0.38670513f, 0.388647318f, 0.388657123f, 0.388982862f, 0.389324844f, 0.391601443f, 0.391976416f, 0.392324924f, 0.394579858f, 0.394593209f, 0.395078331f, 0.397405744f, 0.397528887f, 0.398000658f, 0.398221254f, 0.400391132f, 0.400564611f, 0.40109688f, 0.404236019f, 0.406426668f, 0.407132626f, 0.407144785f, 0.409659415f, 0.409759998f, 0.410440087f, 0.412784308f, 0.412808716f, 0.413080931f, 0.415962458f, 0.416873872f, 0.417145997f, 0.418878973f, 0.419226706f, 0.419511139f, 0.420177042f, 0.422055006f, 0.422453374f, 0.423331797f, 0.423603177f, 0.42582792f, 0.426497996f, 0.428545654f, 0.428911477f, 0.429136902f, 0.431547046f, 0.432145745f, 0.43280524f, 0.433385432f, 0.435291052f, 0.436145008f, 0.438051909f, 0.438711047f, 0.441506207f, 0.442009091f, 0.442514777f, 0.443134487f, 0.444567293f, 0.444824249f, 0.447978139f, 0.4486292f, 0.449522853f, 0.451227725f, 0.451674104f, 0.455308974f, 0.456221193f, 0.456339955f, 0.458190352f, 0.458682954f, 0.459492266f, 0.459644318f, 0.461206198f, 0.461900026f, 0.462887645f, 0.462992847f, 0.46535629f, 0.468237519f, 0.468581349f, 0.469826519f, 0.472046673f, 0.475130618f, 0.476694018f, 0.476733536f, 0.4786762f, 0.479177594f, 0.480196714f, 0.482677281f, 0.483352661f, 0.485671014f, 0.48569411f, 0.486041069f, 0.48967737f, 0.490628839f, 0.49277097f, 0.493853837f, 0.494124562f, 0.496317387f, 0.49654153f, 0.499455273f, 0.499816477f, 0.500255823f, 0.502860785f, 0.503372967f, 0.503835976f, 0.507091999f, 0.507467687f, 0.50823009f, 0.508351684f, 0.510036588f, 0.510856748f, 0.514664292f, 0.517616153f, 0.518534601f, 0.521278977f, 0.521977305f, 0.522117138f, 0.523310065f, 0.52593869f, 0.529494882f, 0.52998054f, 0.530816436f, 0.53142643f, 0.533600569f, 0.533880234f, 0.536777735f, 0.537579656f, 0.537742019f, 0.538631558f, 0.539615393f, 0.541031063f, 0.541573405f, 0.542630315f, 0.547645688f, 0.550710201f, 0.554063439f, 0.554187298f, 0.554892898f, 0.555660725f, 0.557374001f, 0.558043718f, 0.55924046f, 0.561374545f, 0.562123537f, 0.562906861f, 0.563447595f, 0.564060271f, 0.566260159f, 0.567072034f, 0.56763196f, 0.568326354f, 0.570081413f, 0.570695162f, 0.571443915f, 0.571852505f, 0.575091481f, 0.577170193f, 0.579485059f, 0.58093679f, 0.581613779f, 0.583067358f, 0.583894372f, 0.584934056f, 0.587579966f, 0.588747442f, 0.589365602f, 0.590083718f, 0.593281388f, 0.59407258f, 0.597844064f, 0.603814662f, 0.607249141f, 0.608463764f, 0.612362981f, 0.613098145f, 0.617234468f, 0.618227601f, 0.619235337f, 0.621233344f, 0.623714387f, 0.626547575f, 0.627092898f, 0.629015207f, 0.632412434f, 0.636821151f, 0.638578296f, 0.642796993f, 0.643855214f, 0.643871725f, 0.644624233f, 0.647420466f, 0.649053156f, 0.652677178f, 0.654301345f, 0.654348969f, 0.65820837f, 0.659072757f, 0.659744501f, 0.65994072f, 0.661038816f, 0.66449976f, 0.665668607f, 0.665692866f, 0.666477084f, 0.670001149f, 0.671776235f, 0.674987316f, 0.675235152f, 0.680947959f, 0.682487845f, 0.68805182f, 0.69383806f, 0.698568344f, 0.698656082f, 0.699626803f, 0.70049274f, 0.704623044f, 0.705581129f, 0.706188619f, 0.706409276f, 0.711697638f, 0.712147057f, 0.716770768f, 0.716871381f, 0.7179901f, 0.718197405f, 0.718738675f, 0.722989917f, 0.723225832f, 0.724177063f, 0.730499148f, 0.730660141f, 0.735298812f, 0.736977458f, 0.741544247f, 0.742640734f, 0.743326068f, 0.74807179f, 0.749780178f, 0.75477612f, 0.756141424f, 0.756268442f, 0.75810951f, 0.761324108f, 0.762850046f, 0.764665008f, 0.768127561f, 0.770268321f, 0.771572351f, 0.774724603f, 0.777241886f, 0.778490067f, 0.78150636f, 0.784216881f, 0.784523845f, 0.788926125f, 0.791439533f, 0.796477675f, 0.798394263f, 0.798420727f, 0.799769819f, 0.80351758f, 0.805945277f, 0.810782433f, 0.813417077f, 0.814036012f, 0.818290174f, 0.820871413f, 0.820886075f, 0.821242511f, 0.821303904f, 0.825646996f, 0.828024864f, 0.828757286f, 0.828870595f, 0.828935981f, 0.833238959f, 0.836508393f, 0.841087103f, 0.843137264f, 0.844528794f, 0.844819427f, 0.844876885f, 0.848521769f, 0.850283861f, 0.852464974f, 0.852751434f, 0.852778792f, 0.857342124f, 0.858244181f, 0.860341549f, 0.860886455f, 0.865724683f, 0.866572261f, 0.873703897f, 0.874372959f, 0.876536489f, 0.877607167f, 0.877832055f, 0.882061243f, 0.885381997f, 0.890287817f, 0.890342593f, 0.894012511f, 0.894368172f, 0.89454937f, 0.89898634f, 0.899129033f, 0.902667105f, 0.902940392f, 0.907778621f, 0.912039638f, 0.912415981f, 0.916799307f, 0.917144597f, 0.92113173f, 0.925429821f, 0.934697747f, 0.935140848f, 0.939185023f, 0.939878106f, 0.944087744f, 0.944492221f, 0.947874606f, 0.948233843f, 0.949232578f, 0.953484774f, 0.957837343f, 0.958637476f, 0.963359237f, 0.963622212f, 0.966794431f, 0.967446208f, 0.96829474f, 0.97277391f, 0.973381042f, 0.977080464f, 0.982741714f, 0.983332455f, 0.993508816f, 0.998782039f, 1.00255501f, 1.00751543f, 1.01239049f, 1.01797736f, 1.01965737f, 1.0238452f, 1.02564752f, 1.02858615f, 1.02986932f, 1.03656542f, 1.03908288f, 1.03935361f, 1.04095244f, 1.04474258f, 1.04741573f, 1.0557493f, 1.05809414f, 1.06233168f, 1.06793404f, 1.06965375f, 1.07349682f, 1.07476878f, 1.08491158f, 1.08712983f, 1.09202206f, 1.09774065f, 1.10541654f, 1.10622561f, 1.11143911f, 1.11311924f, 1.11720061f, 1.1181767f, 1.12535954f, 1.12910986f, 1.13102245f, 1.13534117f, 1.13638663f, 1.14296794f, 1.14921784f, 1.1493876f, 1.15171289f, 1.15599656f, 1.15625906f, 1.16263664f, 1.16485858f, 1.16962695f, 1.17116249f, 1.17640901f, 1.17840981f, 1.18425083f, 1.18542004f, 1.19042873f, 1.19132018f, 1.19964623f, 1.19968033f, 1.20502567f, 1.20688355f, 1.21412683f, 1.21449733f, 1.21972799f, 1.22232425f, 1.23010445f, 1.23151088f, 1.23707795f, 1.24521661f, 1.24679732f, 1.25128388f, 1.25197482f, 1.26154828f, 1.26183653f, 1.26709831f, 1.27779746f, 1.27818346f, 1.28488719f, 1.29400086f, 1.29530191f, 1.3013469f, 1.30225801f, 1.30313456f, 1.31211698f, 1.31315422f, 1.31842697f, 1.32967138f, 1.33117652f, 1.33689606f, 1.33856285f, 1.33942258f, 1.34812403f, 1.35665965f, 1.35803723f, 1.37083244f, 1.37598777f, 1.3773787f, 1.3887043f, 1.39174545f, 1.39565682f, 1.39594054f, 1.40919256f, 1.41228294f, 1.41326857f, 1.43084097f, 1.43667483f, 1.45430708f, 1.45445132f, 1.45510316f, 1.45878077f, 1.45883f, 1.47555029f, 1.47615075f, 1.48297501f, 1.49904895f, 1.49933434f, 1.50171983f, 1.50566995f, 1.52330899f, 1.52422547f, 1.52584195f, 1.52807546f, 1.53110564f, 1.54909039f, 1.55028558f, 1.55352855f, 1.55907202f, 1.57746983f, 1.60573232f, 1.60729456f, 1.60792184f, 1.61158729f, 1.61477268f, 1.63473296f, 1.63659763f, 1.64047754f, 1.64531779f, 1.66693425f, 1.66890168f, 1.67160344f, 1.67957807f, 1.69840431f, 1.6997869f, 1.70383811f, 1.73347485f, 1.73435688f, 1.73670578f, 1.77250302f, 1.77308297f, 1.77854061f, 1.78343499f, 1.81148577f, 1.81282091f, 1.81446826f, 1.82059073f, 1.85355902f, 1.85511959f, 1.8635509f, 1.89876604f, 1.89954007f, 1.91002524f, 1.9155395f, 1.9481194f, 1.94891548f, 1.99978209f, 2.00187945f, 2.0029788f, 2.01390028f, 2.05994344f, 2.06035709f, 2.06159878f, 2.08111572f, 2.12281847f, 2.12298203f, 2.12585759f, 2.14934349f, 2.1916728f, 2.19627619f, 2.20353127f, 2.22502947f, 2.27534175f, 2.27785516f, 2.28882074f, 2.29649734f, 2.37249184f, 2.38044524f, 2.39036202f, 2.40319586f, 2.48263216f, 2.48389864f, 2.51678228f, 2.60989332f, 2.64748669f, 2.78023863f, 2.78288698f, 2.81801772f, 2.99374104f, 2.99912119f, 3.00021315f, 3.02918863f, 3.04342508f, 3.29804492f, 3.31075954f, 3.36769533f, 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33.9975662f, 35.4770088f, 35.6591797f, 36.5319099f, 36.7276611f, 37.9805679f, 37.9882202f, 39.5615044f, 42.6529541f, 44.1805573f, 46.8447571f, 48.4822083f, 49.0965576f, 50.1831512f, 51.7230492f, 52.2759323f, 55.508213f, 58.0050201f, 58.5993576f, 59.3640099f, 60.2438049f, 63.1049614f, 66.0972137f, 68.5715561f, 69.0035095f, 69.413208f, 72.1818848f, 72.2759094f, 78.3876114f, 78.462616f, 84.4661407f, 86.2461853f, 90.7480164f, 91.1811981f, 92.6992493f, 113.122932f, 118.478317f, 146.223328f, 147.288208f, 149.246292f, 0.0251461994f, 0.383603185f, 0.397506714f, 1.06155181f, 1.18782663f, 2.77024388f, 2.82944179f, 3.55706358f, 3.72807693f, 3.85612488f, 4.47783852f, 4.8590498f, 4.89526939f, 4.96888542f, 5.03043842f, 5.6346817f, 5.71590137f, 5.78973293f, 5.81970453f, 5.92681885f, 5.97831392f, 5.99451351f, 6.00378418f, 6.01034832f, 6.05739784f, 6.08742142f, 6.14764881f, 6.14845753f, 6.18081617f, 6.19347f, 6.23619699f, 6.27795219f, 6.36983395f, 6.38571978f, 6.38817787f, 6.79251432f, 7.36403513f, 7.69721603f, 7.93320179f, 8.67278957f, 9.20685577f, 10.5917244f, 11.4663019f, 12.1262417f, 12.8623943f, 13.2587719f, 13.4531174f, 14.3666229f, 14.4788857f, 16.1055813f, 16.4177246f, 17.4542542f, 18.1652603f, 18.7033119f, 20.4861641f, 20.5941563f, 20.5995579f, 20.9549942f, 21.2680168f, 21.4488525f, 21.9278545f, 22.1159821f, 22.1874237f, 22.9570503f, 23.1142368f, 23.1357307f, 23.2909851f, 23.5611877f, 23.6315403f, 24.2785912f, 24.3404694f, 24.4803276f, 24.6514587f, 24.9658432f, 25.2191772f, 25.2854977f, 25.4519272f, 25.4778137f, 25.497509f, 25.5146503f, 25.5330734f, 25.5490494f, 25.5525227f, 25.9773483f, 26.5920849f, 28.2259674f, 28.4426346f, 29.1144257f, 29.5595932f, 30.2879639f, 32.7849655f, 33.3314171f, 39.3525696f, 39.8431664f, 40.8849106f, 41.2758179f, 44.1113434f, 45.3852768f, 48.0631752f, 49.5721054f, 50.3678513f, 51.7368164f, 52.0549774f, 53.1941833f, 53.6969452f, 55.2423477f, 56.0112991f, 58.9793701f, 60.4064903f, 62.3082733f, 63.7272568f, 67.1676025f, 67.6498566f, 67.8482361f, 72.0509033f, 74.6829758f, 77.8000412f, 79.3563156f, 82.9995041f, 96.4410934f, 97.3719025f, 99.6287384f, 110.058525f, 110.483978f, 120.174049f, 129.582245f, 146.189331f, 158.821762f, 0.0264244694f, 0.375968158f, 1.12911427f, 1.57094586f, 1.92712069f, 2.8044157f, 3.20690346f, 3.35712314f, 3.70532084f, 4.00268841f, 4.56817436f, 5.08941746f, 5.10444689f, 5.89612007f, 6.19802427f, 6.21931982f, 6.23652935f, 6.29053783f, 6.3649435f, 6.57546139f, 6.60209703f, 6.6425724f, 6.74724007f, 6.91652966f, 6.92117214f, 7.02609348f, 7.08438778f, 7.09133053f, 7.2098217f, 7.2580719f, 7.27251148f, 7.28384113f, 7.34030724f, 7.34328842f, 7.36142063f, 7.38293457f, 7.43180323f, 7.482481f, 7.58792782f, 7.61031151f, 7.61540651f, 7.62138081f, 7.64095497f, 7.65629911f, 7.66211319f, 7.67755795f, 7.6797514f, 7.68561745f, 7.68835831f, 7.69744682f, 7.6975069f, 7.72599316f, 7.88448095f, 8.18520069f, 11.2435627f, 11.7938461f, 11.8208389f, 12.2781239f, 12.455512f, 12.9622002f, 14.3774776f, 14.384304f, 14.5467367f, 14.580431f, 14.7537155f, 15.2543888f, 15.5358658f, 15.8477879f, 16.3728466f, 16.7882233f, 16.9015675f, 16.9346218f, 17.1886215f, 17.2143364f, 18.0307465f, 18.9830894f, 19.3476429f, 20.2398777f, 20.5968094f, 20.6527596f, 20.9782162f, 21.0438595f, 23.0271854f, 23.2126579f, 23.5443077f, 23.8414669f, 24.1036892f, 24.2062988f, 24.5440903f, 24.9579315f, 25.2966003f, 26.4683876f, 26.4769878f, 27.3209534f, 27.7576733f, 27.7913742f, 28.5945129f, 29.163353f, 29.2413101f, 29.8576221f, 30.3323193f, 30.668745f, 30.7721519f, 30.7834816f, 31.1699162f, 32.1497421f, 32.6495399f, 33.1055984f, 33.5565872f, 33.683754f, 35.1477127f, 36.0637589f, 36.6995659f, 37.0892487f, 40.6315956f, 42.1948547f, 45.1757736f, 45.4222717f, 56.7761078f, 59.5855713f, 64.2105865f, 66.2759323f, 81.0166168f, 85.1519852f, 97.535759f, 102.813416f, 107.756577f, 0.0334543027f, 0.379659176f, 3.01391649f, 3.81325507f, 3.82206249f, 4.20548153f, 4.32944489f, 4.86736488f, 4.9745636f, 5.35620117f, 5.44158745f, 5.53327751f, 5.98734426f, 6.07946777f, 6.30004692f, 6.32980537f, 6.46256399f, 6.56625319f, 6.65557003f, 6.66464138f, 6.81864166f, 6.8636961f, 6.98797131f, 7.24905109f, 7.31898403f, 7.35569096f, 7.39091587f, 7.40174198f, 7.41130447f, 7.43752289f, 7.46752071f, 7.48272085f, 7.51841974f, 7.52965832f, 7.6286521f, 7.6432023f, 7.64904594f, 7.65334129f, 7.65752125f, 7.67819023f, 7.68755054f, 7.68867302f, 7.69272804f, 7.69562817f, 7.69715786f, 7.69761086f, 7.69775677f, 7.86932945f, 10.5061569f, 13.0467873f, 13.7246799f, 13.7614546f, 14.4322519f, 14.448946f, 15.5879345f, 15.9223804f, 15.9577694f, 16.4438133f, 16.6362457f, 17.1002884f, 18.4363785f, 18.6987991f, 19.1619568f, 20.7356701f, 21.1280899f, 21.1529884f, 21.499279f, 21.9661636f, 22.2065296f, 22.2711258f, 22.6985893f, 23.2522469f, 23.5683174f, 23.618206f, 23.9686623f, 24.201664f, 24.5181942f, 25.0362549f, 25.7780113f, 26.7680855f, 28.1274986f, 28.1807976f, 29.3708382f, 29.6367397f, 30.6375084f, 31.2713032f, 33.5051994f, 33.5432205f, 34.3436089f, 35.1049423f, 35.3695755f, 38.5114212f, 41.8081589f, 44.7846146f, 45.227829f, 45.6139832f, 47.9247322f, 50.6498413f, 50.7466965f, 50.7847748f, 52.2855682f, 53.8014908f, 54.0208549f, 57.2099571f, 57.2553711f, 59.6890984f, 61.2499771f, 66.5923309f, 69.7087784f, 71.4309235f, 77.8804016f, 78.5192642f, 79.7384949f, 88.59021f, 90.5919189f, 109.444687f, 113.141647f, 114.289337f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 10.5f, 11.5f, 13.f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 8.5f, 9.5f, 10.5f, 11.5f, 19.f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 6.5f, 7.5f, 8.5f, 9.5f, 11.5f, 12.5f, 17.f, 17.5f, 19.f}; + + /* Aggregated array of leaf values for trees. Each tree is represented by a separate line: */ + double LeafValues[159794] = { + -0.5760456512744341, -0.2068939773459418, -0.5216835724207219, 0.1051913463981032, -0.5554188222791459, -0.1201579344854801, -0.4525161151878304, 0.2732123966216756, -0.675165690012908, -0.1708830681775695, -0.7771430219500438, -0.1650212241508685, -0.5588621174049841, -0.06437765300129245, -0.7057582576682404, -0.09377166425713152, -0.4861249330073479, -0.3329482953618729, -0.3975023707124731, -0.2458607922276562, -0.489812357324486, -0.2192722602476511, -0.1729123573125273, 0.3448377998537285, -0.7102108279624046, -0.3859819520115687, -0.556907267395315, -0.3966476270901675, -0.5281992962927082, -0.204556651935253, -0.4746805198602421, -0.02179240948818331, + -0.571810984445339, -0.3706326243372461, -0.4268654821442599, -0.1448411277779093, -0.4942155117871408, -0.3191102286087834, -0.2194162550881965, 0.188704918563067, -0.3782572436913871, -0.08196480421066327, -0.4172317008035576, 0.06674937115486593, -0.3287422522110384, -0.02531442278278718, -0.2427461001843983, 0.3056317235703684, -0.7102007944566644, -0.425660897248154, -0.5965239227937608, -0.2840005083176432, -0.5110627005394728, -0.3609601115946606, -0.3692329974066174, -0.04867941595052341, -0.5208835234218501, -0.2165568532620191, -0.5603542066005278, -0.03414887695415045, -0.4068176116897101, -0.1582304933977065, -0.4162912325747719, 0.09927451682970054, + -0.2838320744768758, -0.1452414299540819, -0.2589340017006987, -0.07021228702722143, -0.3032123298843311, -0.03783496596539392, -0.2072267255562359, 0.2220130693762181, -0.299983599499141, -0.2854815264219218, -0.1413596238027578, -0.1733483799357889, -0.320659314286561, -0.2459577946090989, 0.1338743671854549, 0.2934018670951496, -0.3830864874797203, -0.1830288190650248, -0.3745552751742128, -0.2321866692887372, -0.3160789121359828, -0.03220404385508487, -0.3587758335895537, 0.07064728371580684, -0.8050622223629219, -0.4284675466298684, -0.2730680207298261, -0.4622729963085211, -0.3634973366161573, -0.3030244622818949, -0.07111836076195331, 0.101187868686088, + -0.3034294838645767, -0.0954733970673337, -0.108821648847354, 0.2020077471849637, -0.4062154244755524, -0.2426580181887296, -0.4248490654541871, 0.01256672388356332, 0, 0, 0, 0, 0, 0, 0, 0, -0.3284266310903606, -0.2002519433843633, -0.3332156942360471, -0.194840479093671, -0.3456738473801544, -0.2231271905197001, -0.4226046322191238, -0.2720933185469041, -0.2745531176695724, -0.09252092483306311, -0.1269605745201917, 0.1785250076464554, -0.2721764540647336, -0.1014677247829426, -0.1450559087589336, 0.1461455536564525, + -0.4483390456402336, -0.1737597057732721, -0.4116974243718025, -0.1010659942791553, -0.366592731350609, -0.1114752716664795, -0.3179341359493274, -0.005227827083288742, -0.2242633670558753, -0.3143722605921754, -0.1903528079513417, -0.3027159079340797, -0.2900110237853527, -0.1783355875870236, -0.125159368066823, 0.1059550624129506, 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0.0002958835267406696, 0.07059859240334222, -0.02953657383367985, -0.2933157222063259, 0.03233226962924976, 0.003918844367352892, -0.0004853255428519762, -0.00899519700865296, 0.001343563435171666, 0.01843746757011508, -0.02464457021348281, -0.1501530796554404, 0.05666587054363926, 0.003028728382497074, -0.00124672375306392, -0.01589001720087965, 0.0034441848985226, 0.1102356507400638, -0.01352634252317862, -0.1945131811523443, 0.1061869699336235, -0.003281787505723683, 0.0004032684185670726, 0.009219767006451132, -0.002931253676751559, + 0.006041790412824067, 0, -0.0006712739488826407, -0.1091828279805871, -0.005035962531000441, 0, 0.001700785448401592, -0.8412206225723344, -0.008568211664282042, -0.06339351374386437, 0.001282762836011242, 0.05068202049566606, -0.01879278892727532, 0.3082923093719925, -0.001268777623221936, 0.004667787758608124, 0.001785557138130936, -0.01787531585935384, -0.0002109256280753288, 0.05010186400142878, -0.01059852485731583, 0, 0.0002107235424338838, 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-0.0006735113531965314, 0.005982459396779179, -0.001873094296311657, -0.01477120837858717, -0.0001698685827320404, -0.0005005025456935377, 0.008541495085866411, 0.03189292374865089, 0.0005491583215255385, 0.008975457482480608, -0.000333810964544079, -0.02540247275652384, -0.006899031082160316, 0.04849798140218237, 0.03099714230292029, -0.08389129568585137, 0.01355508833173783, 0.02009566986448325, -0.01467190144341537, -0.04247061764362037, 0.007690201374521155, -0.02395798919425957, 0.001985372104508959, -0.5235754470731897, -0.01893296391764035, 0.02310036977497674, + 0.03804685813644068, -0.02693318784505613, -0.01271501160587808, 0.006120104848696949, -0.00372668002544435, 0.04666820304594561, -0.003227052031424536, 0.001603394474075548, 0, 0.002654089746104074, 0, -0.004924793219140306, 0, -0.05616577943333519, 0, 0.05674632226174055, 0, 0, -0.002932905131719757, 0.0001404024224080387, 0, 0, 0.002060185287862184, -0.006809602094628947, 0, 0, 0, 0.0002427980090329306, 0, 0, 0, -0.006651651095374808, + -0.001104376507816367, 0, -6.078794062330783e-05, 0, -0.008581057010546499, 0, 0.0004135043046117358, 0, 0.02967242771156126, 0, 0.02506141669234773, 0, -0.06965958357228967, 0, -0.007159341352494302, 0, -0.02547489769285204, 0.02501640956624493, 0.002743668837144794, -0.001003033021204198, 0.02133964339335036, -0.01217087467809925, -0.0005742684471047788, -1.411976797437147e-05, -0.02747621065939533, -0.01383231911566235, -0.0158804918221578, -0.02304950347051807, -0.05833226802892776, 0.01252376303937715, 0.01194234350958487, 0.00447536994622287 + }; + double Scale = 1; + double Bias = 0; +} CatboostModel_RGA_outbending_pass2Static; + +/* Model applicator */ +double ApplyCatboostModel_RGA_outbending_pass2( + const std::vector& features +) { + const struct CatboostModel_RGA_outbending_pass2& model = CatboostModel_RGA_outbending_pass2Static; + + /* Binarise features */ + std::vector binaryFeatures(model.BinaryFeatureCount); + unsigned int binFeatureIndex = 0; + for (unsigned int i = 0; i < model.FloatFeatureCount; ++i) { + for(unsigned int j = 0; j < model.BorderCounts[i]; ++j) { + binaryFeatures[binFeatureIndex] = (unsigned char)(features[i] > model.Borders[binFeatureIndex]); + ++binFeatureIndex; + } + } + + /* Extract and sum values from trees */ + double result = 0.0; + const unsigned int* treeSplitsPtr = model.TreeSplits; + const double* leafValuesForCurrentTreePtr = model.LeafValues; + for (unsigned int treeId = 0; treeId < model.TreeCount; ++treeId) { + const unsigned int currentTreeDepth = model.TreeDepth[treeId]; + unsigned int index = 0; + for (unsigned int depth = 0; depth < currentTreeDepth; ++depth) { + index |= (binaryFeatures[treeSplitsPtr[depth]] << depth); + } + result += leafValuesForCurrentTreePtr[index]; + treeSplitsPtr += currentTreeDepth; + leafValuesForCurrentTreePtr += (1 << currentTreeDepth); + } + return model.Scale * result + model.Bias; +} + +double ApplyCatboostModel_RGA_outbending_pass2( + const std::vector& floatFeatures, + const std::vector& +) { + return ApplyCatboostModel_RGA_outbending_pass2(floatFeatures); +} + + +// clang-format on \ No newline at end of file diff --git a/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGC_Summer2022_pass1.cpp b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGC_Summer2022_pass1.cpp new file mode 100644 index 00000000..1b07ea5e --- /dev/null +++ b/src/iguana/algorithms/clas12/PhotonGBTFilter/models/RGC_Summer2022_pass1.cpp @@ -0,0 +1,1064 @@ +// clang-format off + +#include +#include + +/* Model data */ +static const struct CatboostModel_RGC_Summer2022_pass1 { + unsigned int FloatFeatureCount = 45; + unsigned int BinaryFeatureCount = 3361; + unsigned int TreeCount = 1000; + unsigned int TreeDepth[1000] = {8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8}; + unsigned int TreeSplits[8000] = {1234, 858, 216, 628, 124, 1134, 395, 787, 1232, 858, 233, 659, 3107, 2906, 377, 1122, 1231, 856, 211, 642, 785, 61, 3172, 2904, 1234, 862, 219, 663, 1359, 3110, 2901, 2861, 1233, 856, 222, 69, 671, 2928, 3122, 1341, 1234, 852, 198, 632, 3354, 1218, 3174, 2898, 1240, 856, 198, 647, 95, 1114, 1223, 779, 1228, 857, 229, 669, 71, 787, 2923, 3121, 1236, 859, 210, 657, 58, 1324, 2932, 2861, 1235, 852, 224, 779, 670, 68, 2376, 2347, 1232, 862, 244, 666, 1351, 1157, 2928, 2864, 1226, 864, 201, 662, 374, 2393, 2705, 2365, 1237, 855, 210, 794, 149, 1127, 3354, 627, 1239, 869, 3354, 199, 777, 144, 1215, 456, 1241, 861, 214, 795, 154, 3354, 1144, 412, 1243, 875, 3354, 660, 218, 1673, 2926, 3121, 1226, 850, 211, 635, 46, 1096, 1264, 901, 1226, 848, 664, 230, 1097, 65, 1277, 884, 1232, 848, 794, 261, 2916, 2861, 2892, 1076, 1226, 850, 625, 232, 74, 2378, 2764, 1298, 1221, 869, 223, 385, 846, 1069, 641, 2920, 3344, 869, 1333, 124, 395, 786, 248, 2386, 1222, 873, 815, 423, 846, 1077, 251, 1249, 1229, 866, 199, 816, 665, 383, 3099, 2896, 3345, 845, 636, 2915, 2861, 2893, 3354, 1097, 1216, 871, 204, 630, 2912, 2862, 3354, 2891, 3344, 876, 425, 156, 1101, 851, 633, 785, 3345, 863, 786, 214, 2381, 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1501, 1603, 3074, 493, 812, 2579, 2357, 2376, 2674, 1284, 2909, 3216, 2775, 2962, 833, 2990, 3265, 1264, 1865, 2505, 1583, 3065, 1808, 2416, 3144, 2983, 1376, 3314, 3293, 2808, 2895, 2489, 2769, 3248, 12, 823, 2207, 3028, 2525, 389, 1175, 1317, 2679, 45, 1249, 1312, 1881, 1368, 1752, 1181, 1477, 3327, 1011, 3175, 5, 1497, 2872, 2590, 206, 3050, 1014, 3087, 3133, 714, 3320, 1891, 1328, 493, 2198, 3202, 1814, 1700, 318, 141, 752, 1006, 1713, 3039, 1498, 2426, 1273, 2239, 2172, 188, 1662, 1227, 661, 2118, 1141, 790, 473, 985, 1992, 1444, 1428, 3250, 2921, 2673, 1854, 1711, 1436, 3064, 2794, 956, 1691, 1973, 366, 2461, 2474, 2556, 2665, 2270, 1306, 2930, 456, 2716, 680, 1305, 1832, 3094, 116, 3007, 302, 1235, 1245, 265, 684, 115, 960, 1771, 1960, 2836, 2622, 1449, 1040, 842, 865, 396, 852, 493, 1199, 841, 1050, 832, 367, 1379, 957, 1823, 358, 1206, 1699, 163, 334, 1817, 2211, 3051, 205, 1031, 3060, 945, 2223, 451, 1887, 985, 2504, 2450, 645, 2559, 1571, 1117, 1389, 3357, 365, 1058, 847, 861, 831, 399, 109, 354, 186, 2424, 2154, 708, 351, 624, 408, 2052, 2810, 2418, 2851, 2756, 1386, 971, 1635, 2786, 2801, 3302, 2503, 2166, 1241, 1812, 2748, 1235, 1209, 2618, 1847, 3345, 1662, 435, 104, 682, 1574, 3138, 2324, 2054, 1313, 3289, 454, 1199, 179, 341, 165, 864, 384, 1193, 1920, 589, 360, 3192, 3141, 1066, 244, 693, 2216, 589, 345, 174, 321, 150, 1300, 882, 417, 351, 2447, 233, 73, 1671, 1359, 1310, 1893, 192, 542, 44, 1181, 2185, 1841, 3185, 2493, 2461, 2453, 1231, 2, 2732, 713, 1795, 2934, 2624, 2840, 1591, 357, 6, 1392, 3025, 1484, 3232, 3241, 3216, 2248, 1346, 1166, 2434, 559, 481, 634, 1821, 2735, 2045, 1185, 735, 933, 350, 182, 756, 1101, 620, 881, 434, 1164, 354, 186, 779, 2617, 636, 376, 919, 2083, 3050, 1958, 1459, 2156, 2949, 1351, 903, 767, 1200, 3127, 2167, 2804, 315, 137, 1308, 1831, 1200, 2806, 2807, 536, 1000, 2902, 3157, 1276, 3329, 2634, 2578, 2463, 422, 892, 2682, 1081, 2786, 2715, 2417, 2524, 1375, 2061, 1867, 219, 1201, 144, 319, 129, 311, 561, 499, 1845, 3357, 365, 1060, 847, 831, 861, 400, 1127, 188, 1506, 8, 3113, 1035, 962, 550, 1861, 3181, 1626, 611, 732, 346, 2975, 491, 893, 1711, 1436, 897, 2814, 1539, 1801, 1990, 403, 3050, 3179, 308, 133, 695, 1187, 1830, 1373, 333, 159, 1293, 436, 635, 1195, 876, 1174, 352, 184, 3042, 1200, 1653, 775, 2222, 886, 1407, 3128, 3036, 3131, 195, 3235, 1848, 2564, 89, 275, 549, 436, 2439, 888, 1168, 3171, 45, 1251, 1312, 1881, 1748, 3355, 1638, 259, 985, 2446, 2783, 1150, 1386, 294, 1847, 739, 1006, 650, 1330, 2123, 2861, 3112, 2405, 2815, 1584, 1406, 3297, 3312, 3048, 3194, 246, 2068, 354, 186, 2616, 762, 325, 1207, 1785, 373, 89, 275, 549, 440, 1690, 2664, 3018, 996, 2832, 2717, 3328, 2416, 2786, 2557, 1192, 1333, 1579, 342, 169, 863, 2897, 1889, 1192, 2128, 348, 177, 1235, 1245, 1611, 3060, 1091, 2924, 3181, 1626, 2249, 806, 355, 1472, 2290, 968, 1823, 3319, 1589, 2164, 2821, 3191, 597, 237, 354, 718, 716, 1199, 1368, 2411, 1884, 642, 352, 182, 711, 622, 1191, 873, 1289, 2296, 0, 680, 3065, 1338, 1001, 2949, 2604, 2077, 3091, 3286, 584, 2064, 3323, 2300, 978, 2925, 492, 778, 851, 1070, 861, 375, 1263, 1148, 47, 238, 70, 264, 1677, 1337, 362, 569, 2209, 819, 2129, 2007, 888, 3139, 2466, 1156, 45, 3056, 402, 3230, 1404, 2777, 991, 1132, 3002, 3006, 2861, 3098, 3168, 2389, 2718, 1434, 108, 300, 309, 140, 541, 630, 774, 3231, 3091, 3286, 584, 221, 2338, 363, 1316, 2854, 191, 3257, 1399, 982, 1692, 1833, 2072, 2695, 1231, 1209, 2587, 2273, 807, 497, 1842, 2309, 2052, 3058, 869, 1826, 745, 2381, 2071, 3008, 89, 275, 295, 118, 314, 140, 644, 1308, 3357, 1764, 1511, 1424, 2576, 365, 880, 3105, 3091, 545, 2728, 2182, 3275, 1005, 2494, 1348, 2624, 2584, 217, 361, 79, 1390, 2841, 1674, 1495, 1496, 2750, 2809, 2979, 1963, 1921, 2038, 3232, 832, 1391, 2572, 2215, 1, 1929, 1083, 2858, 2518, 2388, 2363, 2677, 3150, 91, 895, 1234, 1258, 1732, 1451, 2001, 1900, 283, 458, 354, 718, 716, 1198, 3124, 2334, 1547, 1441, 822, 1594, 1286, 218, 33, 1332, 1661, 107, 1565, 3341, 3143, 1355, 1107, 2817, 2964, 1998, 2207, 3086, 2746, 2844, 1651, 1556, 228, 954, 1495, 3343, 49, 1751, 1061, 851, 856, 379, 1231, 1210, 2618, 1853, 3345, 450, 2094, 2131, 192, 542, 44, 1182, 238, 523, 970, 3170, 3329, 53, 3225, 2451, 974, 2487, 2672, 1376, 481, 2329, 2539, 893, 1169, 1357, 96, 3100, 2786, 2860, 3337, 813, 417, 270, 2977, 568, 589, 340, 169, 323, 153, 1330, 884, 1183, 333, 159, 1293, 416, 1174, 872, 606, 2678, 481, 2835, 2578, 2354, 2376, 2672, 1286, 667, 3050, 548, 1827, 3278, 41, 1681, 873, 1160, 3181, 1626, 2249, 806, 1000, 2143, 1402, 542, 1711, 2306, 3130, 1232, 406, 13, 1619, 585, 3091, 3286, 197, 2010, 1928, 2787, 698, 1283, 354, 718, 716, 1199, 2009, 2174, 2959, 635, 2832, 1716, 1073, 2565, 2788, 1839, 3356, 900, 2624, 2623, 589, 363, 1728, 1448, 3076, 1649, 493, 779, 851, 1049, 847, 1285, 1076, 442, 1495, 3343, 49, 1751, 1061, 852, 856, 379, 188, 3259, 2869, 3032, 2852, 465, 3059, 3151, 3324, 3303, 826, 3035, 1013, 13, 1738, 2142, 3232, 832, 1392, 3338, 2572, 1622, 2396, 86, 3091, 131, 311, 115, 304, 619, 835, 2582, 2552, 2635, 243, 45, 549, 403, 3109, 889, 347, 174, 337, 1227, 164, 1876, 1707, 1986, 2342, 2291, 1576, 2699, 1311, 1729, 990, 2385, 2052, 2514, 951, 950, 0, 1794, 624, 516, 3050, 1958, 2452, 2190, 2279, 230, 544, 3195, 3327, 1011, 1807, 3293, 2440, 1593, 806, 537, 2345, 1399, 1789, 2725, 1731, 1970, 2433, 55, 1584, 1406, 3297, 3298, 207, 2082, 3055, 2427, 3232, 3242, 3216, 2248, 1346, 1166, 540, 1977, 2522, 1325, 1078, 946, 848, 50, 622, 447, 3091, 545, 3275, 2176, 2231, 11, 1088, 214, 3181, 1626, 2252, 990, 3318, 1504, 1158, 2791, 2461, 2474, 2560, 2665, 2270, 2932, 624, 798, 345, 174, 897, 740, 417, 1090, 850, 1316, 350, 182, 1101, 595, 3125, 1818, 1474, 1301, 1017, 189, 1957, 3213, 2772, 2702, 2935, 2425, 2624, 0, 708, 1639, 1348, 653, 2231, 1107, 354, 186, 2616, 2210, 762, 2087, 383, 924, 2536, 2352, 2677, 2347, 1232, 2385, 93, 742, 352, 182, 743, 1221, 2294, 2030, 377, 2781, 1199, 179, 333, 159, 857, 1195, 416, 2972, 493, 2726, 545, 1736, 1442, 1617, 3101, 1917, 493, 601, 788, 350, 1703, 326, 1848, 1294, 2511, 2055, 2723, 2301, 3067, 1946, 1139, 2159, 1711, 357, 2979, 2060, 2978, 784, 1308, 1920, 1006, 1714, 3044, 2331, 1272, 2987, 506, 51, 354, 186, 2616, 776, 363, 1956, 958, 621, 354, 736, 2833, 3274, 2902, 1049, 949, 2376, 2716, 2818, 190, 1003, 1094, 2543, 3219, 1297, 3280, 3255, 1346, 2431, 1647, 2255, 62, 3212, 3324, 1588, 1765, 3271, 3188, 242, 2967, 1148, 2744, 2461, 1231, 2483, 3306, 905, 615, 2654, 823, 2495, 2690, 2002, 2441, 479, 2535, 1156, 3181, 1613, 1470, 362, 580, 2944, 249, 2792, 2451, 3054, 3224, 226, 686, 1390, 3037, 1871, 3280, 3255, 3208, 3047, 3140, 3090, 1531, 2971, 2512, 1799, 2438, 1372, 1024, 2683, 2102, 3041, 3314, 3296, 1585, 1284, 3355, 2158, 2936, 1544, 2056, 2417, 1810, 1117, 2589, 1380, 2938, 635, 481, 1013, 633, 2760, 1383, 215, 1829, 3105, 1006, 650, 1330, 2123, 2861, 1877, 1150, 2492, 1719, 2226, 1549, 1440, 3331, 2016, 2186, 2403, 1200, 2012, 1015, 1632, 1330, 2112, 84, 1282, 344, 170, 859, 569, 761, 377, 1096, 1275, 2461, 2476, 2556, 2668, 1277, 2745, 1904, 445, 1661, 661, 1227, 1827, 1329, 958, 1073, 763, 493, 1199, 841, 1050, 831, 367, 1231, 3350, 1565, 2125, 2039, 2344, 1962, 487, 1266, 3027, 2505, 1930, 1194, 170, 344, 870, 691, 1286, 3050, 3335, 3233, 1848, 2914, 3317, 2156, 1491, 1823, 3314, 3309, 1210, 3299, 3084, 1529, 446, 3327, 1008, 3175, 2864, 530, 1815, 2407, 96, 2858, 3229, 2805, 1003, 2638, 3325, 3164, 2968, 1407, 3128, 2986, 2277, 626, 3276, 433, 1618, 682, 2505, 1583, 2670, 984, 2423, 787, 1866, 2209, 1024, 206, 1273, 1654, 92, 1550, 2640, 192, 3257, 513, 683, 1197, 2232, 1391, 1000, 2832, 1716, 1073, 2565, 2788, 914, 415, 3355, 136, 316, 1317, 649, 3354, 1870, 474, 2062, 3091, 137, 319, 324, 149, 1231, 561, 469, 2625, 0, 708, 2098, 1602, 1344, 3075, 570, 2207, 3086, 2744, 1829, 868, 1751, 2220, 1465, 2716, 2813, 2057, 2612, 1214, 2291, 797, 2774, 3050, 664, 1599, 1561, 2257, 1354, 17, 2180, 1661, 1218, 1428, 1446, 1743, 1535, 578, 1853, 1201, 146, 326, 157, 331, 1222, 635, 376, 2056, 2417, 1810, 1117, 2589, 2719, 3146, 900, 1661, 661, 1786, 176, 337, 1245, 1227, 965, 348, 181, 1199, 610, 1551, 1213, 2204, 2375, 351, 2447, 1195, 245, 372, 572, 1774, 2970, 3357, 1764, 2163, 198, 1715, 2318, 1439, 2597, 589, 3261, 718, 1914, 1284, 1777, 291, 124, 2786, 2801, 202, 2863, 1304, 2827, 2156, 2547, 2505, 2825, 1026, 2274, 887, 841, 1318, 2849, 1759, 1500, 1067, 2927, 3119, 2462, 299, 1381, 3358, 3348, 2537, 1595, 2005, 437, 1276, 2284, 1495, 1496, 2750, 1977, 3068, 213, 3019, 33, 3181, 1626, 2249, 3005, 783, 1975, 1008, 1314, 682, 2836, 2622, 514, 1171, 972, 22, 1335, 354, 186, 2424, 2154, 3017, 2283, 1864, 997, 1231, 1209, 2587, 567, 409, 312, 144, 1178, 481, 3232, 1586, 3260, 3292, 3142, 2434, 2577, 2806, 2807, 536, 2213, 2909, 202, 1616, 26, 1759, 1507, 1387, 1135, 938, 2508, 525, 1644, 2836, 358, 2610, 1350, 1509, 2850, 1837, 749, 191, 2763, 2169, 20, 196, 1146, 1307, 868, 2052, 2810, 2752, 2397, 3115, 1480, 2258, 1362, 1661, 1202, 1424, 3350, 1750, 18, 376, 2382, 3091, 131, 307, 108, 832, 1094, 852, 1272, 3329, 53, 702, 1251, 1652, 1301, 1931, 1362, 347, 177, 1222, 2617, 2861, 1862, 2065, 2259, 2345, 1364, 1714, 3052, 1352, 1148, 2630, 1913, 353, 186, 1788, 961, 582, 367, 1920, 2081, 3051, 205, 1031, 3061, 945, 2225, 451, 1902, 188, 3259, 2869, 3031, 881, 733, 86, 1163, 354, 186, 768, 1235, 2738, 2267, 2411, 2958, 1200, 2012, 2281, 1982, 1010, 1275, 1482, 2398, 493, 2198, 2187, 2015, 2853, 2734, 2792, 243, 3314, 3293, 2808, 2671, 2806, 3007, 1078, 936, 3329, 2634, 2578, 887, 2687, 2175, 2791, 738, 823, 2208, 3256, 3009, 2895, 3114, 162, 332, 481, 1408, 3220, 683, 1834, 1125, 5, 963, 1495, 98, 2523, 212, 71, 283, 994, 472, 2512, 3340, 250, 78, 1688, 1840, 2399, 1393, 2716, 1399, 3258, 1789, 2254, 2374, 1924, 2323, 1934, 1502, 2122, 1398, 3222, 3262, 279, 2214, 2713, 2828, 1791, 2341, 2179, 1128, 2432, 2549, 350, 182, 760, 866, 572, 1710, 1196, 1355, 3314, 3316, 1328, 3129, 3095, 1851, 1741, 2307, 3181, 1626, 2249, 355, 1472, 2721, 754, 1142, 1200, 2012, 1015, 1585, 889, 2274, 1536, 1489, 350, 182, 2857, 1101, 3222, 3017, 2951, 836, 2345, 1399, 1789, 1940, 1106, 728, 239, 2278, 3280, 1006, 1714, 2156, 1545, 2023, 2900, 654, 2451, 3054, 2762, 2600, 1369, 2058, 1453, 974, 3091, 3286, 3305, 2886, 3113, 1229, 2862, 655, 3324, 1588, 552, 546, 2297, 1053, 2542, 2241, 1823, 3319, 1589, 643, 2931, 224, 146, 528, 1200, 1372, 832, 2877, 392, 1938, 1145, 110, 2786, 2165, 2755, 524, 2861, 194, 1637, 2403, 192, 542, 43, 1182, 1676, 3040, 2813, 703, 3091, 3286, 197, 2010, 1927, 1055, 2066, 1347, 1759, 1500, 1067, 1933, 969, 1965, 805, 501, 2998, 3176, 2906, 3115, 2899, 1238, 138, 587, 493, 601, 788, 350, 3036, 3180, 2145, 992, 822, 546, 3073, 2517, 2728, 2784, 2871, 1299, 3358, 3353, 2013, 2540, 1978, 1899, 2951, 1135, 188, 1129, 375, 454, 899, 859, 65, 1166, 1201, 143, 319, 329, 150, 1225, 1694, 684, 353, 186, 1788, 1463, 2969, 3030, 2075, 3182, 1200, 478, 2385, 2584, 952, 1196, 2265, 1373, 3051, 205, 1031, 2224, 106, 242, 696, 982, 3314, 3293, 3196, 1013, 2680, 2414, 233, 2070, 192, 1335, 2521, 200, 3339, 914, 2936, 1115, 3314, 3296, 1585, 2153, 3001, 340, 2666, 172, 2493, 2636, 2573, 1556, 2244, 1335, 1044, 1971, 2342, 2292, 1577, 2699, 1399, 1947, 631, 1623, 1008, 2243, 36, 1030, 227, 1367, 540, 692, 2513, 2340, 2686, 2639, 1400, 2797, 2548, 521, 1508, 3053, 1367, 832, 3310, 1352, 1872, 1076, 352, 184, 2447, 1199, 872, 408, 2611, 1191, 2707, 2829, 2341, 1790, 2018, 1530, 2576, 2105, 354, 718, 716, 2729, 3342, 14, 1365, 576, 2056, 2417, 1432, 2072, 1084, 1261, 241, 688, 2052, 3058, 869, 1837, 2227, 1796, 1758, 424, 3242, 3330, 2782, 1793, 1110, 3221, 1461, 2920, 352, 184, 1199, 872, 381, 2020, 789, 2226, 3324, 815, 361, 3191, 2927, 1563, 3152, 3018, 2209, 1024, 1968, 47, 201, 229, 3166, 1344, 481, 2329, 782, 1130, 917, 1761, 1335, 2963, 3358, 3353, 2540, 1981, 1730, 1445, 1430, 1222, 681, 1, 1716, 1079, 963, 2008, 1363, 523, 1579, 3160, 2333, 3205, 3078, 12, 542, 2221, 481, 1013, 2758, 2629, 1049, 841, 1317, 1880, 1661, 661, 2119, 1234, 838, 2601, 1163, 1776, 2806, 2763, 2168, 21, 202, 2691, 2014, 3132, 2859, 2519, 2388, 2365, 2925, 2870, 3187, 1279, 354, 186, 2125, 770, 1672, 1202, 380, 630, 1008, 2633, 2761, 1041, 2606, 454, 2856, 1433, 589, 829, 1167, 841, 2498, 118, 308, 1443, 3314, 3315, 1775, 272, 2600, 527, 2173, 2955, 188, 3259, 1835, 2297, 3193, 2500, 2130, 1246, 1759, 2000, 2129, 1467, 1355, 2435, 921, 698, 2713, 2819, 2515, 1104, 998, 28, 2982, 541, 344, 167, 863, 1208, 1196, 385, 1142, 3120, 3324, 2449, 540, 7, 2289, 213, 3210, 2927, 823, 2208, 1397, 3297, 360, 696, 1844, 309, 2832, 2006, 1470, 1363, 586, 2138, 482, 2412, 1711, 357, 2979, 694, 2481, 888, 2230, 571, 3050, 1601, 989, 1068, 543, 1406, 2104, 3083, 45, 195, 60, 1249, 3273, 1289, 1910, 1604, 2522, 2985, 1478, 3159, 1964, 1723, 2162, 2217, 3130, 1683, 3343, 1816, 1899, 1377, 293, 2017, 2786, 2801, 3302, 2503, 3301, 2374, 3357, 2050, 3291, 2035, 253, 1571, 2326, 1941, 1835, 3147, 2451, 3054, 1508, 1374, 3311, 226, 731, 582, 3051, 205, 1693, 242, 72, 549, 1759, 1130, 2320, 1284, 1939, 1859, 2436, 123, 3156, 1103, 1661, 1202, 3345, 3350, 1750, 27, 389, 2366, 2512, 54, 3340, 1566, 699, 2298, 1849, 1316, 2713, 2828, 1791, 2785, 2796, 2632, 2976, 2397, 192, 1309, 1300, 1838, 2646, 1688, 2153, 3010, 1823, 2516, 1499, 1582, 2681, 1640, 205, 2905, 354, 186, 2617, 337, 1708, 1324, 3126, 1868, 2707, 1028, 1782, 1559, 2922, 529, 1813, 719, 2493, 2692, 2442, 1999, 1753, 1487, 2150, 2550, 493, 812, 164, 339, 1306, 1783, 3355, 1893, 1749, 1755, 2567, 532, 4, 1164, 977, 596, 3181, 1610, 1471, 1272, 1473, 995, 39, 1946, 1823, 3319, 3264, 1450, 594, 2694, 3287, 3013, 1008, 2243, 36, 1030, 747, 3062, 2693, 222, 822, 546, 2724, 2631, 40, 3246, 1915, 1455, 2744, 508, 1583, 1650, 2943, 1997, 2212, 629, 2744, 2272, 797, 495, 856, 1169, 3081, 1356, 3314, 3293, 2808, 2671, 2895, 2491, 776, 1087, 2052, 1537, 1527, 1228, 1772, 1037, 870, 286, 2461, 2474, 2563, 2269, 2667, 2932, 1701, 758, 3329, 2864, 2877, 3079, 1227, 3111, 1288, 140, 2342, 2292, 1577, 2996, 1702, 1983, 810, 321, 1200, 3127, 2125, 1980, 942, 2285, 1856, 377, 0, 680, 3230, 1825, 2918, 2697, 2779, 1289, 822, 1594, 1011, 803, 1754, 2228, 2943, 1105, 347, 177, 1222, 2617, 1859, 2129, 445, 2295, 2789, 1538, 1528, 2053, 1228, 1769, 3025, 1849, 2451, 3054, 1508, 226, 694, 1384, 2242, 1074, 3050, 665, 1599, 1561, 2257, 1354, 2422, 983, 2314, 2830, 2391, 2395, 566, 1059, 1382, 1548, 1198, 683, 184, 2276, 412, 1836, 870, 2960, 1201, 146, 319, 533, 550, 981, 1352, 2108, 2345, 1340, 841, 1057, 1733, 387, 2408, 1468, 350, 181, 1101, 836, 852, 373, 1216, 1699, 3181, 3182, 2868, 1234, 2915, 2496, 235, 2137, 2207, 1191, 3093, 1326, 2991, 952, 531, 1900, 3314, 1822, 2305, 1175, 3038, 2136, 2074, 600, 136, 319, 141, 1228, 3350, 1732, 2184, 581, 1200, 2012, 1015, 1584, 1287, 211, 676, 79, 188, 1506, 1758, 2613, 2970, 3209, 960, 2480, 2786, 2165, 2755, 1258, 2554, 2396, 240, 71, 2461, 2474, 2563, 1314, 2644, 364, 565, 2839, 2052, 2299, 2457, 2206, 1347, 1802, 932, 2250, 1749, 1980, 192, 2285, 1009, 2501, 2402, 1487, 1661, 661, 1012, 2485, 2263, 1485, 3092, 1337, 493, 2198, 3247, 549, 2429, 1780, 2133, 1342, 481, 3252, 638, 2085, 922, 1462, 1261, 1955, 3280, 1819, 319, 137, 1322, 2322, 636, 734, 3181, 1626, 2116, 1329, 76, 1287, 1898, 2013, 1407, 3128, 2986, 2277, 620, 1002, 3096, 35, 1435, 1539, 2043, 1770, 1959, 964, 307, 1256, 2607, 3236, 2303, 2057, 2675, 1724, 1532, 503, 352, 184, 1199, 372, 894, 2484, 2020, 2073, 589, 340, 165, 2615, 1706, 1574, 1356, 737}; + unsigned int BorderCounts[45] = {188, 167, 193, 135, 140, 191, 187, 208, 100, 75, 127, 78, 32, 115, 77, 44, 71, 42, 39, 69, 44, 25, 106, 63, 103, 53, 58, 34, 26, 21, 26, 24, 129, 62, 76, 54, 49, 28, 28, 17, 26, 14, 5, 5, 7}; + float Borders[3361] = {0.201592028f, 0.203228951f, 0.204974264f, 0.210100323f, 0.211828142f, 0.213561788f, 0.215305954f, 0.224377751f, 0.226224899f, 0.228070319f, 0.229925483f, 0.231830254f, 0.233663619f, 0.235585034f, 0.239463925f, 0.243490651f, 0.247576565f, 0.251780957f, 0.253721356f, 0.25566268f, 0.259800315f, 0.261905789f, 0.265936822f, 0.268047154f, 0.27026242f, 0.272358119f, 0.276593745f, 0.278721452f, 0.280925274f, 0.283157229f, 0.285429478f, 0.287756562f, 0.290005118f, 0.292214513f, 0.29435885f, 0.296566963f, 0.298906684f, 0.30582279f, 0.308150411f, 0.310490251f, 0.317494005f, 0.320041537f, 0.32990849f, 0.337378234f, 0.339768767f, 0.342209548f, 0.349659711f, 0.352517962f, 0.355139554f, 0.357779145f, 0.360380232f, 0.362919569f, 0.365717798f, 0.371322244f, 0.377109855f, 0.385742933f, 0.388755649f, 0.391764283f, 0.394731641f, 0.39762485f, 0.403367221f, 0.406429052f, 0.409258366f, 0.415392041f, 0.421586275f, 0.427861512f, 0.431264579f, 0.434464276f, 0.437910616f, 0.441159636f, 0.447692811f, 0.451047063f, 0.454457492f, 0.457855821f, 0.464780509f, 0.468206525f, 0.471805155f, 0.475457042f, 0.486738175f, 0.49384442f, 0.501536906f, 0.505524337f, 0.509378672f, 0.513215721f, 0.517101169f, 0.521038711f, 0.52498287f, 0.528846383f, 0.533166051f, 0.537315488f, 0.541386068f, 0.545608521f, 0.550227642f, 0.563367307f, 0.567830622f, 0.572408617f, 0.576773882f, 0.581374764f, 0.586170614f, 0.591040492f, 0.595799685f, 0.600695133f, 0.605870485f, 0.611107945f, 0.616079867f, 0.620825052f, 0.630575776f, 0.640951753f, 0.646664262f, 0.652240396f, 0.657697916f, 0.663325667f, 0.668861389f, 0.674693942f, 0.680097938f, 0.692293048f, 0.70457387f, 0.710544705f, 0.716993034f, 0.723677099f, 0.729908109f, 0.742988348f, 0.757254243f, 0.764108658f, 0.770918489f, 0.777870178f, 0.785075963f, 0.792048097f, 0.806643844f, 0.814040184f, 0.821940064f, 0.829595685f, 0.837770283f, 0.845802426f, 0.870346069f, 0.878530025f, 0.887308598f, 0.896200657f, 0.915809751f, 0.94425565f, 0.954624653f, 0.964527845f, 0.974947572f, 0.984681368f, 0.995525122f, 1.01713943f, 1.02784562f, 1.03895521f, 1.07410574f, 1.08716226f, 1.11148763f, 1.13675022f, 1.15031111f, 1.17878675f, 1.19268107f, 1.20725858f, 1.22164476f, 1.23722005f, 1.25239754f, 1.2685318f, 1.28523254f, 1.30308557f, 1.31973481f, 1.35879993f, 1.37944794f, 1.44459677f, 1.46710443f, 1.51578236f, 1.53990805f, 1.56605983f, 1.59251428f, 1.62091517f, 1.6496979f, 1.6821723f, 1.75022912f, 1.83248711f, 1.87585175f, 1.92233777f, 2.02476144f, 2.14895201f, 2.22018194f, 2.30700016f, 2.40183067f, 2.50763154f, 2.63193846f, 2.78759527f, 2.98656273f, 3.28950238f, 0.0171592236f, 0.0212508366f, 0.0238531157f, 0.0258551128f, 0.0273371134f, 0.029899016f, 0.031044025f, 0.0322697461f, 0.0335881375f, 0.0348545983f, 0.0351920463f, 0.035521239f, 0.0358712152f, 0.0362212285f, 0.0365749672f, 0.0369217768f, 0.0373015553f, 0.0376581512f, 0.0380275026f, 0.0383779742f, 0.0387476087f, 0.0391282141f, 0.0395157337f, 0.0399125852f, 0.0403228179f, 0.0406890288f, 0.041095905f, 0.0414965376f, 0.0418774858f, 0.0422923826f, 0.0426886901f, 0.0431192517f, 0.043527171f, 0.0439454615f, 0.0443565026f, 0.0447884649f, 0.0452262349f, 0.0456841886f, 0.0461179949f, 0.0465513878f, 0.047014676f, 0.0474933572f, 0.0479678586f, 0.0484228805f, 0.0488909483f, 0.049768988f, 0.0502495579f, 0.050707005f, 0.0511923991f, 0.0520844422f, 0.0525566526f, 0.0530650839f, 0.054007262f, 0.0544983633f, 0.0549700521f, 0.055462718f, 0.0559420548f, 0.056974493f, 0.057474874f, 0.0579863787f, 0.0584842935f, 0.0594993718f, 0.0605574623f, 0.0610932857f, 0.062697567f, 0.0637412369f, 0.0642931163f, 0.0665648803f, 0.0671519786f, 0.0677134991f, 0.0682751387f, 0.0694188997f, 0.0705883056f, 0.0717542022f, 0.0723640621f, 0.0729393512f, 0.0741182119f, 0.0747560561f, 0.075349614f, 0.0759524703f, 0.0765748397f, 0.0771653056f, 0.0797218978f, 0.0803868324f, 0.0816913247f, 0.0830876157f, 0.0844153464f, 0.0858466774f, 0.0865225941f, 0.0884756744f, 0.089934051f, 0.0920979977f, 0.0928483382f, 0.0959147811f, 0.0974473357f, 0.0989912003f, 0.0997711942f, 0.101453379f, 0.103137001f, 0.104787737f, 0.10564144f, 0.107382014f, 0.109085739f, 0.109997839f, 0.111746833f, 0.11739327f, 0.120322064f, 0.121391878f, 0.122366235f, 0.124447584f, 0.125481561f, 0.126532614f, 0.127593622f, 0.129840463f, 0.131013393f, 0.133297473f, 0.138047054f, 0.143068373f, 0.14434801f, 0.148187667f, 0.149497241f, 0.150914073f, 0.155134141f, 0.160936296f, 0.162506789f, 0.165778443f, 0.169023558f, 0.172342628f, 0.181364596f, 0.185115963f, 0.1889503f, 0.190990239f, 0.192918122f, 0.204010859f, 0.208786383f, 0.211196035f, 0.21375373f, 0.22498551f, 0.227929622f, 0.230935335f, 0.234119356f, 0.237269968f, 0.240659356f, 0.250946641f, 0.25452888f, 0.258590221f, 0.266844273f, 0.275218844f, 0.279843986f, 0.284777075f, 0.294871747f, 0.300099373f, 0.305668414f, 0.311812997f, 0.318523973f, 0.325572073f, 0.333024085f, 0.359302044f, 0.381143153f, 0.393453479f, 0.406461418f, 0.422449827f, 0.4413625f, 0.464538693f, 0.494362712f, 0.537405908f, 0.611298084f, 0.0913518444f, 0.0948484838f, 0.0980273634f, 0.100895695f, 0.103736661f, 0.10648632f, 0.109096929f, 0.11173895f, 0.114272632f, 0.119428754f, 0.121742934f, 0.12414813f, 0.126340047f, 0.130642042f, 0.132802308f, 0.134835452f, 0.136795282f, 0.138920307f, 0.140892744f, 0.144717723f, 0.146526664f, 0.150173128f, 0.151893765f, 0.153634489f, 0.156972349f, 0.158607826f, 0.160181373f, 0.161817014f, 0.163390547f, 0.164936885f, 0.166558236f, 0.168069914f, 0.171132028f, 0.172579482f, 0.173974872f, 0.175448954f, 0.176868632f, 0.178361267f, 0.179783493f, 0.181185693f, 0.182591796f, 0.185465664f, 0.186943144f, 0.188351899f, 0.189754486f, 0.191130996f, 0.19261986f, 0.193993419f, 0.195346132f, 0.196735591f, 0.198077768f, 0.199364841f, 0.200738579f, 0.201983809f, 0.203372881f, 0.204683095f, 0.208805263f, 0.210096329f, 0.214049101f, 0.215361029f, 0.216714814f, 0.218002111f, 0.220553473f, 0.221880674f, 0.223222524f, 0.224493116f, 0.225842774f, 0.229911894f, 0.231286094f, 0.232625842f, 0.234017521f, 0.235399038f, 0.236744285f, 0.24067983f, 0.244703174f, 0.245952964f, 0.24728334f, 0.248747557f, 0.251413405f, 0.252699167f, 0.254093826f, 0.256854385f, 0.259553015f, 0.262354136f, 0.263657987f, 0.265000284f, 0.266348302f, 0.26772809f, 0.269051731f, 0.270365924f, 0.271676838f, 0.273062348f, 0.274534732f, 0.277307123f, 0.278627306f, 0.280016243f, 0.281335622f, 0.282721221f, 0.284124136f, 0.285580844f, 0.286957234f, 0.289673626f, 0.291099101f, 0.292441577f, 0.295157313f, 0.296507418f, 0.297953665f, 0.303495646f, 0.304856956f, 0.306213081f, 0.311773062f, 0.316105664f, 0.320373863f, 0.324767619f, 0.327691019f, 0.329204202f, 0.333508611f, 0.336581647f, 0.339693218f, 0.342794001f, 0.345868051f, 0.347427905f, 0.350567758f, 0.352193296f, 0.353723526f, 0.35535413f, 0.357079178f, 0.358817995f, 0.362305522f, 0.363952786f, 0.365430266f, 0.366941392f, 0.368551254f, 0.370275199f, 0.372042f, 0.373941779f, 0.375804543f, 0.377479434f, 0.380929887f, 0.382989705f, 0.386877f, 0.388820231f, 0.392391115f, 0.39450711f, 0.400580823f, 0.408644795f, 0.410945088f, 0.41717127f, 0.419374943f, 0.421774834f, 0.423997521f, 0.426321f, 0.428548992f, 0.43077457f, 0.433173716f, 0.435760707f, 0.437953889f, 0.440210849f, 0.442553222f, 0.44497025f, 0.447767854f, 0.450476885f, 0.454960614f, 0.460526407f, 0.468198657f, 0.471048176f, 0.47394973f, 0.476709157f, 0.47938168f, 0.482189387f, 0.485065937f, 0.488068759f, 0.490966856f, 0.493822098f, 0.496889234f, 0.500110745f, 0.50317502f, 0.506151915f, 0.509462237f, 0.512794316f, 0.515879154f, 0.519340873f, 0.522968292f, 0.526447415f, 0.533415735f, 0.537019253f, 0.540429235f, 0.547933817f, 0.55172962f, 0.555674314f, 0.56085825f, 0.567673206f, 0.578239202f, 0.374622345f, 0.376841724f, 0.799426615f, 1.15898871f, 1.48833191f, 1.80350494f, 2.07126665f, 2.30743456f, 2.53628063f, 2.74881816f, 2.95373058f, 3.32810593f, 3.90630102f, 4.0370183f, 4.15550518f, 4.26540852f, 4.36993265f, 4.47029209f, 4.8797226f, 4.9541254f, 5.01652145f, 5.20193768f, 5.25384235f, 5.35157204f, 5.52987289f, 5.56997013f, 5.60680771f, 5.64254951f, 5.70883179f, 5.77122641f, 5.82574749f, 5.87711954f, 5.98986816f, 6.06807232f, 6.08569193f, 6.1182375f, 6.14732933f, 6.23416471f, 6.31119347f, 6.34195518f, 6.34514713f, 6.35941601f, 6.3706789f, 6.38075066f, 6.38203907f, 6.3857336f, 6.55672932f, 7.1540451f, 8.20768642f, 8.44497681f, 8.90290833f, 9.02869129f, 9.14538193f, 9.26159668f, 9.37531471f, 9.4901247f, 9.81660652f, 10.1258726f, 10.4166565f, 10.6096878f, 10.7012424f, 10.8860502f, 10.9868374f, 11.343667f, 11.435461f, 11.5164299f, 11.6076221f, 11.7806664f, 11.8703461f, 12.0465679f, 12.1323719f, 12.3934498f, 12.5560856f, 12.7218523f, 12.8082056f, 12.8906841f, 13.0505066f, 13.1382885f, 13.2175322f, 13.3828278f, 13.5509129f, 13.6325779f, 13.7196541f, 13.8889828f, 13.9667797f, 14.0452518f, 14.1298752f, 14.2117405f, 14.7520685f, 14.8508968f, 15.0836372f, 15.1956139f, 15.4373608f, 15.6891975f, 15.9353085f, 16.2168808f, 16.3604126f, 17.0417271f, 17.6694641f, 17.8464317f, 19.5629444f, 19.7790871f, 20.3308067f, 20.723259f, 20.8994865f, 21.4621658f, 21.8087196f, 22.6700439f, 23.8387032f, 23.9606056f, 24.2111282f, 24.8442879f, 25.2994995f, 25.4014778f, 25.4426346f, 25.5432358f, 25.551651f, 25.7903023f, 26.3625088f, 26.9690018f, 27.6088257f, 29.0678406f, 30.7094269f, 35.2484741f, 39.5080833f, 44.2373848f, 45.9890099f, 47.8573837f, 49.8592529f, 52.1856842f, 54.3201561f, 56.4405899f, 61.4791718f, 96.0186539f, 114.401794f, 0.374760211f, 0.375297368f, 1.16202235f, 1.41172481f, 1.6376214f, 2.06492043f, 2.25088167f, 2.43393326f, 2.62033129f, 2.98194313f, 3.13231993f, 3.28017759f, 3.42780066f, 3.56912732f, 3.82546186f, 3.94857645f, 4.06592846f, 4.28038597f, 4.38411045f, 4.57871723f, 4.66728878f, 4.83934116f, 4.91724062f, 5.0784874f, 5.37294006f, 5.4423399f, 5.50656605f, 5.57318735f, 5.85748482f, 5.96334362f, 6.05840445f, 6.19827557f, 6.52960253f, 6.56471539f, 6.63187027f, 6.66382885f, 6.69889259f, 6.73236179f, 6.75160742f, 6.7727375f, 6.80626869f, 6.84229755f, 6.90953255f, 6.94231319f, 7.00287628f, 7.03123331f, 7.10148764f, 7.14060307f, 7.15363932f, 7.21634674f, 7.23980188f, 7.28565502f, 7.30630302f, 7.32524395f, 7.39400721f, 7.43867874f, 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0.223823637f, 0.227723122f, 0.23565945f, 0.243371531f, 0.274881959f, 0.278864503f, 0.304563195f, 0.332309037f, 0.336130828f, 0.339777231f, 0.342943996f, 0.390715003f, 0.397053361f, 0.403310061f, 0.436191261f, 0.464540064f, 0.477204442f, 0.490398556f, 0.497059166f, 0.548819423f, 0.569312334f, 0.586580873f, 0.608226061f, 0.618882358f, 0.62634629f, 0.641594708f, 0.657070041f, 0.661251009f, 0.665645778f, 0.678988338f, 0.707331479f, 0.712661028f, 0.723987401f, 0.729294181f, 0.761029363f, 0.791289568f, 0.833479226f, 0.845852733f, 0.859206021f, 0.892099619f, 0.983803868f, -1.8862195f, -1.86985993f, -1.82920456f, -1.80749595f, -1.79676414f, -1.78708363f, -1.72305214f, -1.70153689f, -1.63380492f, -1.62261558f, -1.57210994f, -1.53426993f, -1.49938202f, -1.47503901f, -1.43663776f, -1.43191266f, -1.41805029f, -1.40849841f, -1.37302971f, -1.27822685f, -1.25365365f, -1.24954665f, -1.19513416f, -1.19101191f, -1.16302192f, -1.13131762f, -1.12782049f, -1.1086781f, -1.09726071f, -1.06222177f, 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0.0955918133f, 0.0988584906f, 0.106161892f, 0.109939493f, 0.11862582f, 0.148012623f, 0.151038229f, 0.17705074f, 0.18095322f, 0.198824793f, 0.206421316f, 0.213936776f, 0.240956396f, 0.250782877f, 0.325995892f, 0.008726147f, 0.0101049338f, 0.0178992637f, 0.0342425704f, 0.0358191691f, 0.0375817083f, 0.0419043861f, 0.0432538763f, 0.0460965484f, 0.0498664677f, 0.0559626594f, 0.0563915297f, 0.0574235432f, 0.0657313913f, 0.0698095188f, 0.0780808181f, 0.0935013592f, 0.0954752564f, 0.110231943f, 0.111819327f, 0.115116343f, 0.127120584f, 0.14353314f, 0.146572351f, 0.159531891f, 0.211544544f, 0.266875863f, 0.289030075f, 0.828707159f, 1.62433529f, 4.3051281f, 4.68442631f, 5.82911491f, 6.23851871f, 6.24894333f, 6.27338314f, 6.35270882f, 6.37745953f, 6.38732862f, 8.09822845f, 11.6660976f, 12.3189945f, 13.4192753f, 23.5399551f, 23.6876907f, 24.4769325f, 24.55896f, 26.5853291f, 41.600502f, 50.1082497f, 51.4492073f, 54.1760597f, 60.6376801f, 63.7913742f, 65.3886642f, 76.8661728f, 0.031169964f, 0.368611872f, 0.377170563f, 5.97860336f, 8.97958374f, 12.2534065f, 13.2757626f, 15.2899818f, 16.7550259f, 22.1075783f, 24.2642193f, 24.7157764f, 25.5409393f, 30.0772057f, 54.9835052f, 79.279007f, 87.151825f, 0.374318182f, 0.835390389f, 2.39940691f, 3.72774172f, 4.38685036f, 5.97967434f, 6.05834341f, 7.23741817f, 7.66002274f, 7.68271542f, 7.68984747f, 8.16173267f, 8.39817047f, 9.13355446f, 16.216713f, 16.5032959f, 18.1795197f, 21.0250053f, 21.646801f, 26.9693336f, 30.7551422f, 40.6065369f, 44.7493553f, 50.0072327f, 66.191124f, 71.4777985f, 0.374318182f, 0.818683982f, 5.0686121f, 6.02345753f, 7.14891768f, 7.69712639f, 7.69751215f, 12.3771267f, 12.7504959f, 30.0567245f, 30.6948433f, 35.5867538f, 77.9541779f, 93.5664978f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 0.5f, 1.5f, 2.5f, 3.5f, 4.5f, 5.5f, 11.5f}; + + /* Aggregated array of leaf values for trees. Each tree is represented by a separate line: */ + double LeafValues[256000] = { + -0.1567736619381916, -0.07861983320921227, -0.1248588385429913, -0.01005193418713012, -0.1247165913706899, -0.03428600504671776, -0.09627921373673576, 0.06748054704675684, -0.2264082505732505, -0.09800451921789796, -0.1663872451581957, -0.1115004670868711, -0.1212401350018044, -0.03353009761158181, -0.1236919689968503, 0.02230193156009121, -0.1231657604254017, -0.05762822432125173, -0.06718139601362125, -0.0263677466639024, -0.1476793348019233, -0.04576426075054742, -0.006082255561749014, 0.1225892652097947, 0.05634371282934638, -0.05634371282934637, -0.1459002213619364, -0.1794939976014236, -0.1560014774319007, -0.07159056106399726, -0.0570080654281943, 0.07795035410191033, -0.1016837476619331, -0.05148097020999327, -0.1549206311854338, -0.04648957164740009, -0.1090313356514169, 0.02938933368304112, -0.09574097952590491, 0.05056351467910317, -0.1383639141925022, -0.1720822936724878, -0.2030655578818109, 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model.Borders[binFeatureIndex]); + ++binFeatureIndex; + } + } + + /* Extract and sum values from trees */ + double result = 0.0; + const unsigned int* treeSplitsPtr = model.TreeSplits; + const double* leafValuesForCurrentTreePtr = model.LeafValues; + for (unsigned int treeId = 0; treeId < model.TreeCount; ++treeId) { + const unsigned int currentTreeDepth = model.TreeDepth[treeId]; + unsigned int index = 0; + for (unsigned int depth = 0; depth < currentTreeDepth; ++depth) { + index |= (binaryFeatures[treeSplitsPtr[depth]] << depth); + } + result += leafValuesForCurrentTreePtr[index]; + treeSplitsPtr += currentTreeDepth; + leafValuesForCurrentTreePtr += (1 << currentTreeDepth); + } + return model.Scale * result + model.Bias; +} + +double ApplyCatboostModel_RGC_Summer2022_pass1( + const std::vector& floatFeatures, + const std::vector& +) { + return ApplyCatboostModel_RGC_Summer2022_pass1(floatFeatures); +} + + +// clang-format on \ No newline at end of file diff --git a/src/iguana/algorithms/meson.build b/src/iguana/algorithms/meson.build index a13d72ad..7d60563a 100644 --- a/src/iguana/algorithms/meson.build +++ b/src/iguana/algorithms/meson.build @@ -23,8 +23,8 @@ algo_dict = [ # 'has_config': bool # assumes Config.yaml exists (default=true) # 'has_c_bindings': bool # assumes Bindings.cc exists (default=true) # 'has_validator': bool # assumes Validator{cc,h} exist (default=true) -# 'algorithm_needs_ROOT: bool # whether this algorithm needs ROOT or not (default=false) -# 'validator_needs_ROOT: bool # whether this validator needs ROOT or not (default=true) +# 'algorithm_needs_ROOT': bool # whether this algorithm needs ROOT or not (default=false) +# 'validator_needs_ROOT': bool # whether this validator needs ROOT or not (default=true) # 'add_algorithm_sources': list[str] # list of additional algorithm source files (default=[]) # 'add_algorithm_headers': list[str] # list of additional algorithm header files (default=[]) # 'add_validator_sources': list[str] # list of additional validator source files (default=[]) @@ -85,6 +85,13 @@ algo_dict += [ 'algorithm_needs_ROOT': true, 'test_args': { 'banks': ['REC::Particle'] }, }, + { + 'name': 'clas12::PhotonGBTFilter', + 'has_c_bindings': false, + 'algorithm_needs_ROOT': true, + 'has_validator': true, + 'test_args': { 'banks': ['REC::Particle', 'REC::Calorimeter', 'RUN::config'] }, + } ] # make lists of objects to build; inclusion depends on whether ROOT is needed or not, and if we have ROOT diff --git a/src/iguana/services/Logger.h b/src/iguana/services/Logger.h index 48e08cb2..17c28bba 100644 --- a/src/iguana/services/Logger.h +++ b/src/iguana/services/Logger.h @@ -2,6 +2,7 @@ #include #include +#include #include #include