// This model generated automatically from SBML

// unit definitions
import nsrunit;
unit conversion off;

// SBML property definitions
property sbmlRole=string;
property sbmlName=string;
property sbmlCompartment=string;

// SBML reactions
// R00935: space_S_space_minus_Methylmalonate_space_semialdehyde <=> Propanoyl_minus_CoA 
// R00927: Propanoyl_minus_CoA Acetyl_minus_CoA <=> space_2_minus_Methylacetoacetyl_minus_CoA 
// R05066: space_S_space_minus_3_minus_Hydroxyisobutyrate => space_S_space_minus_Methylmalonate_space_semialdehyde 
// R01360: space_S_space_minus_3_minus_Hydroxy_minus_3_minus_methylglutaryl_minus_CoA <=> Acetyl_minus_CoA Acetoacetate 
// R07604: space_2_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP Enzyme_space_N6_minus_space_lipoyl_space_lysine <=> space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_ Thiamin_space_diphosphate 
// R07599: space_3_minus_Methyl_minus_2_minus_oxobutanoic_space_acid Thiamin_space_diphosphate <=> space_2_minus_Methyl_minus_1_minus_hydroxypropyl_minus_ThPP 
// R01090: L_minus_Leucine <=> space_4_minus_Methyl_minus_2_minus_oxopentanoate 
// R07603: space_S_space_minus_3_minus_Methyl_minus_2_minus_oxopentanoic_space_acid Thiamin_space_diphosphate <=> space_2_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP 
// R04137: space_3_minus_Hydroxyisovaleryl_minus_CoA => space_3_minus_Methylcrotonyl_minus_CoA 
// R04204: space_2_minus_Methylbut_minus_2_minus_enoyl_minus_CoA <=> space_2S_space_3S_space_minus_3_minus_Hydroxy_minus_2_minus_methylbutanoyl_minus_CoA 
// R07618: Enzyme_space_N6_minus_space_dihydrolipoyl_space_lysine <=> Enzyme_space_N6_minus_space_lipoyl_space_lysine 
// R00238: Acetyl_minus_CoA => Acetoacetyl_minus_CoA 
// R02199: L_minus_Isoleucine <=> space_S_space_minus_3_minus_Methyl_minus_2_minus_oxopentanoic_space_acid 
// R07601: space_4_minus_Methyl_minus_2_minus_oxopentanoate Thiamin_space_diphosphate <=> space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP 
// R01859: Propanoyl_minus_CoA <=> space_S_space_minus_2_minus_Methyl_minus_3_minus_oxopropanoyl_minus_CoA 
// R04224: space_2_minus_Methylprop_minus_2_minus_enoyl_minus_CoA <=> space_S_space_minus_3_minus_Hydroxyisobutyryl_minus_CoA 
// R03869: space_S_space_minus_Methylmalonate_space_semialdehyde <=> Methylmalonate 
// R07600: space_2_minus_Methyl_minus_1_minus_hydroxypropyl_minus_ThPP Enzyme_space_N6_minus_space_lipoyl_space_lysine <=> space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_ Thiamin_space_diphosphate 
// R04188: L_minus_3_minus_Amino_minus_isobutanoate => space_S_space_minus_Methylmalonate_space_semialdehyde 
// R03960: space_3R_space_minus_beta_minus_Leucine => beta_minus_Ketoisocaproate 
// R01088: L_minus_Leucine => space_4_minus_Methyl_minus_2_minus_oxopentanoate 
// R01214: L_minus_Valine <=> space_3_minus_Methyl_minus_2_minus_oxobutanoic_space_acid 
// R04203: space_2S_space_3S_space_minus_3_minus_Hydroxy_minus_2_minus_methylbutanoyl_minus_CoA => space_2_minus_Methylacetoacetyl_minus_CoA 
// R07602: space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP Enzyme_space_N6_minus_space_lipoyl_space_lysine <=> space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_ Thiamin_space_diphosphate 

math main {
  realDomain time second;
  time.min=0;
  extern time.max;
  extern time.delta;

  // variable definitions
  real default = 1 L;
  real uVol = 1 L;
  real E2_space_6_space_1_space_42 = 0 M;
  real E4_space_1_space_3_space_4 = 0 M;
  real E1_space_2_space_4_space_4 = 0 M;
  real E1_space_4_space_1_space_9 = 0 M;
  real E2_space_3_space_1_space_9 = 0 M;
  real E2_space_6_space_1_space_22 = 0 M;
  real E1_space_8_space_1_space_4 = 0 M;
  real E1_space_1_space_1_space_31 = 0 M;
  real E1_space_2_space_1_space_3 = 0 M;
  real E4_space_2_space_1_space_17 = 0 M;
  real E1_space_1_space_1_space_35 = 0 M;
  real E1_space_2_space_1_space_27 = 0 M;
  real E2_space_3_space_1_space_16 = 0 M;
  real E6_space_4_space_1_space_3 = 0 M;
  real Enzyme_space_N6_minus_space_lipoyl_space_lysine(time) M;
  real L_minus_Leucine(time) M;
  real space_4_minus_Methyl_minus_2_minus_oxopentanoate(time) M;
  real space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP(time) M;
  real space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_(time) M;
  real space_3_minus_Methylcrotonyl_minus_CoA(time) M;
  real space_S_space_minus_3_minus_Hydroxy_minus_3_minus_methylglutaryl_minus_CoA(time) M;
  real Acetoacetate(time) M;
  real Thiamin_space_diphosphate(time) M;
  real space_3R_space_minus_beta_minus_Leucine(time) M;
  real Acetyl_minus_CoA(time) M;
  real Acetoacetyl_minus_CoA(time) M;
  real L_minus_3_minus_Amino_minus_isobutanoate(time) M;
  real beta_minus_Ketoisocaproate(time) M;
  real Enzyme_space_N6_minus_space_dihydrolipoyl_space_lysine(time) M;
  real L_minus_Valine(time) M;
  real space_3_minus_Methyl_minus_2_minus_oxobutanoic_space_acid(time) M;
  real space_2_minus_Methyl_minus_1_minus_hydroxypropyl_minus_ThPP(time) M;
  real space_2_minus_Methylprop_minus_2_minus_enoyl_minus_CoA(time) M;
  real space_S_space_minus_3_minus_Hydroxyisobutyryl_minus_CoA(time) M;
  real space_S_space_minus_3_minus_Hydroxyisobutyrate(time) M;
  real space_S_space_minus_Methylmalonate_space_semialdehyde(time) M;
  real Methylmalonate(time) M;
  real L_minus_Isoleucine(time) M;
  real space_S_space_minus_3_minus_Methyl_minus_2_minus_oxopentanoic_space_acid(time) M;
  real space_2_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP(time) M;
  real space_2_minus_Methylbut_minus_2_minus_enoyl_minus_CoA(time) M;
  real space_2S_space_3S_space_minus_3_minus_Hydroxy_minus_2_minus_methylbutanoyl_minus_CoA(time) M;
  real space_2_minus_Methylacetoacetyl_minus_CoA(time) M;
  real Propanoyl_minus_CoA(time) M;
  real space_S_space_minus_2_minus_Methyl_minus_3_minus_oxopropanoyl_minus_CoA(time) M;
  real space_3_minus_Hydroxyisovaleryl_minus_CoA(time) M;
  real R00935(time) katal;
  extern real R00935.kf;
  extern real R00935.kb;
  real R00927(time) katal;
  extern real R00927.kf;
  extern real R00927.kb;
  real R05066(time) katal;
  extern real R05066.kf;
  extern real R05066.kb;
  real R01360(time) katal;
  extern real R01360.kf;
  extern real R01360.kb;
  real R07604(time) katal;
  extern real R07604.kf;
  extern real R07604.kb;
  real R07599(time) katal;
  extern real R07599.kf;
  extern real R07599.kb;
  real R01090(time) katal;
  extern real R01090.kf;
  extern real R01090.kb;
  real R07603(time) katal;
  extern real R07603.kf;
  extern real R07603.kb;
  real R04137(time) katal;
  extern real R04137.kf;
  extern real R04137.kb;
  real R04204(time) katal;
  extern real R04204.kf;
  extern real R04204.kb;
  real R07618(time) katal;
  extern real R07618.kf;
  extern real R07618.kb;
  real R00238(time) katal;
  extern real R00238.kf;
  extern real R00238.kb;
  real R02199(time) katal;
  extern real R02199.kf;
  extern real R02199.kb;
  real R07601(time) katal;
  extern real R07601.kf;
  extern real R07601.kb;
  real R01859(time) katal;
  extern real R01859.kf;
  extern real R01859.kb;
  real R04224(time) katal;
  extern real R04224.kf;
  extern real R04224.kb;
  real R03869(time) katal;
  extern real R03869.kf;
  extern real R03869.kb;
  real R07600(time) katal;
  extern real R07600.kf;
  extern real R07600.kb;
  real R04188(time) katal;
  extern real R04188.kf;
  extern real R04188.kb;
  real R03960(time) katal;
  extern real R03960.kf;
  extern real R03960.kb;
  real R01088(time) katal;
  extern real R01088.kf;
  extern real R01088.kb;
  real R01214(time) katal;
  extern real R01214.kf;
  extern real R01214.kb;
  real R04203(time) katal;
  extern real R04203.kf;
  extern real R04203.kb;
  real R07602(time) katal;
  extern real R07602.kf;
  extern real R07602.kb;

  // equations
  when (time=time.min) Enzyme_space_N6_minus_space_lipoyl_space_lysine = 0;
  Enzyme_space_N6_minus_space_lipoyl_space_lysine:time = (-1*R07604 + R07618 + -1*R07600 + -1*R07602)/uVol;
  when (time=time.min) L_minus_Leucine = 0;
  L_minus_Leucine:time = (-1*R01090 + -1*R01088)/uVol;
  when (time=time.min) space_4_minus_Methyl_minus_2_minus_oxopentanoate = 0;
  space_4_minus_Methyl_minus_2_minus_oxopentanoate:time = (R01090 + -1*R07601 + R01088)/uVol;
  when (time=time.min) space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP = 0;
  space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP:time = (R07601 + -1*R07602)/uVol;
  when (time=time.min) space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_ = 0;
  space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_:time = (R07604 + R07600 + R07602)/uVol;
  when (time=time.min) space_3_minus_Methylcrotonyl_minus_CoA = 0;
  space_3_minus_Methylcrotonyl_minus_CoA:time = (R04137)/uVol;
  when (time=time.min) space_S_space_minus_3_minus_Hydroxy_minus_3_minus_methylglutaryl_minus_CoA = 0;
  space_S_space_minus_3_minus_Hydroxy_minus_3_minus_methylglutaryl_minus_CoA:time = (-1*R01360)/uVol;
  when (time=time.min) Acetoacetate = 0;
  Acetoacetate:time = (R01360)/uVol;
  when (time=time.min) Thiamin_space_diphosphate = 0;
  Thiamin_space_diphosphate:time = (R07604 + -1*R07599 + -1*R07603 + -1*R07601 + R07600 + R07602)/uVol;
  when (time=time.min) space_3R_space_minus_beta_minus_Leucine = 0;
  space_3R_space_minus_beta_minus_Leucine:time = (-1*R03960)/uVol;
  when (time=time.min) Acetyl_minus_CoA = 0;
  Acetyl_minus_CoA:time = (-1*R00927 + R01360 + -1*R00238)/uVol;
  when (time=time.min) Acetoacetyl_minus_CoA = 0;
  Acetoacetyl_minus_CoA:time = (R00238)/uVol;
  when (time=time.min) L_minus_3_minus_Amino_minus_isobutanoate = 0;
  L_minus_3_minus_Amino_minus_isobutanoate:time = (-1*R04188)/uVol;
  when (time=time.min) beta_minus_Ketoisocaproate = 0;
  beta_minus_Ketoisocaproate:time = (R03960)/uVol;
  when (time=time.min) Enzyme_space_N6_minus_space_dihydrolipoyl_space_lysine = 0;
  Enzyme_space_N6_minus_space_dihydrolipoyl_space_lysine:time = (-1*R07618)/uVol;
  when (time=time.min) L_minus_Valine = 0;
  L_minus_Valine:time = (-1*R01214)/uVol;
  when (time=time.min) space_3_minus_Methyl_minus_2_minus_oxobutanoic_space_acid = 0;
  space_3_minus_Methyl_minus_2_minus_oxobutanoic_space_acid:time = (-1*R07599 + R01214)/uVol;
  when (time=time.min) space_2_minus_Methyl_minus_1_minus_hydroxypropyl_minus_ThPP = 0;
  space_2_minus_Methyl_minus_1_minus_hydroxypropyl_minus_ThPP:time = (R07599 + -1*R07600)/uVol;
  when (time=time.min) space_2_minus_Methylprop_minus_2_minus_enoyl_minus_CoA = 0;
  space_2_minus_Methylprop_minus_2_minus_enoyl_minus_CoA:time = (-1*R04224)/uVol;
  when (time=time.min) space_S_space_minus_3_minus_Hydroxyisobutyryl_minus_CoA = 0;
  space_S_space_minus_3_minus_Hydroxyisobutyryl_minus_CoA:time = (R04224)/uVol;
  when (time=time.min) space_S_space_minus_3_minus_Hydroxyisobutyrate = 0;
  space_S_space_minus_3_minus_Hydroxyisobutyrate:time = (-1*R05066)/uVol;
  when (time=time.min) space_S_space_minus_Methylmalonate_space_semialdehyde = 0;
  space_S_space_minus_Methylmalonate_space_semialdehyde:time = (-1*R00935 + R05066 + -1*R03869 + R04188)/uVol;
  when (time=time.min) Methylmalonate = 0;
  Methylmalonate:time = (R03869)/uVol;
  when (time=time.min) L_minus_Isoleucine = 0;
  L_minus_Isoleucine:time = (-1*R02199)/uVol;
  when (time=time.min) space_S_space_minus_3_minus_Methyl_minus_2_minus_oxopentanoic_space_acid = 0;
  space_S_space_minus_3_minus_Methyl_minus_2_minus_oxopentanoic_space_acid:time = (-1*R07603 + R02199)/uVol;
  when (time=time.min) space_2_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP = 0;
  space_2_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP:time = (-1*R07604 + R07603)/uVol;
  when (time=time.min) space_2_minus_Methylbut_minus_2_minus_enoyl_minus_CoA = 0;
  space_2_minus_Methylbut_minus_2_minus_enoyl_minus_CoA:time = (-1*R04204)/uVol;
  when (time=time.min) space_2S_space_3S_space_minus_3_minus_Hydroxy_minus_2_minus_methylbutanoyl_minus_CoA = 0;
  space_2S_space_3S_space_minus_3_minus_Hydroxy_minus_2_minus_methylbutanoyl_minus_CoA:time = (R04204 + -1*R04203)/uVol;
  when (time=time.min) space_2_minus_Methylacetoacetyl_minus_CoA = 0;
  space_2_minus_Methylacetoacetyl_minus_CoA:time = (R00927 + R04203)/uVol;
  when (time=time.min) Propanoyl_minus_CoA = 0;
  Propanoyl_minus_CoA:time = (R00935 + -1*R00927 + -1*R01859)/uVol;
  when (time=time.min) space_S_space_minus_2_minus_Methyl_minus_3_minus_oxopropanoyl_minus_CoA = 0;
  space_S_space_minus_2_minus_Methyl_minus_3_minus_oxopropanoyl_minus_CoA:time = (R01859)/uVol;
  when (time=time.min) space_3_minus_Hydroxyisovaleryl_minus_CoA = 0;
  space_3_minus_Hydroxyisovaleryl_minus_CoA:time = (-1*R04137)/uVol;
  R00935 = R00935.kf*space_S_space_minus_Methylmalonate_space_semialdehyde - R00935.kb*Propanoyl_minus_CoA;
  R00927 = R00927.kf*Propanoyl_minus_CoA*Acetyl_minus_CoA - R00927.kb*space_2_minus_Methylacetoacetyl_minus_CoA;
  R05066 = R05066.kf*space_S_space_minus_3_minus_Hydroxyisobutyrate - R05066.kb*space_S_space_minus_Methylmalonate_space_semialdehyde;
  R01360 = R01360.kf*space_S_space_minus_3_minus_Hydroxy_minus_3_minus_methylglutaryl_minus_CoA - R01360.kb*Acetyl_minus_CoA*Acetoacetate;
  R07604 = R07604.kf*space_2_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP*Enzyme_space_N6_minus_space_lipoyl_space_lysine - R07604.kb*space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_*Thiamin_space_diphosphate;
  R07599 = R07599.kf*space_3_minus_Methyl_minus_2_minus_oxobutanoic_space_acid*Thiamin_space_diphosphate - R07599.kb*space_2_minus_Methyl_minus_1_minus_hydroxypropyl_minus_ThPP;
  R01090 = R01090.kf*L_minus_Leucine - R01090.kb*space_4_minus_Methyl_minus_2_minus_oxopentanoate;
  R07603 = R07603.kf*space_S_space_minus_3_minus_Methyl_minus_2_minus_oxopentanoic_space_acid*Thiamin_space_diphosphate - R07603.kb*space_2_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP;
  R04137 = R04137.kf*space_3_minus_Hydroxyisovaleryl_minus_CoA - R04137.kb*space_3_minus_Methylcrotonyl_minus_CoA;
  R04204 = R04204.kf*space_2_minus_Methylbut_minus_2_minus_enoyl_minus_CoA - R04204.kb*space_2S_space_3S_space_minus_3_minus_Hydroxy_minus_2_minus_methylbutanoyl_minus_CoA;
  R07618 = R07618.kf*Enzyme_space_N6_minus_space_dihydrolipoyl_space_lysine - R07618.kb*Enzyme_space_N6_minus_space_lipoyl_space_lysine;
  R00238 = R00238.kf*Acetyl_minus_CoA - R00238.kb*Acetoacetyl_minus_CoA;
  R02199 = R02199.kf*L_minus_Isoleucine - R02199.kb*space_S_space_minus_3_minus_Methyl_minus_2_minus_oxopentanoic_space_acid;
  R07601 = R07601.kf*space_4_minus_Methyl_minus_2_minus_oxopentanoate*Thiamin_space_diphosphate - R07601.kb*space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP;
  R01859 = R01859.kf*Propanoyl_minus_CoA - R01859.kb*space_S_space_minus_2_minus_Methyl_minus_3_minus_oxopropanoyl_minus_CoA;
  R04224 = R04224.kf*space_2_minus_Methylprop_minus_2_minus_enoyl_minus_CoA - R04224.kb*space_S_space_minus_3_minus_Hydroxyisobutyryl_minus_CoA;
  R03869 = R03869.kf*space_S_space_minus_Methylmalonate_space_semialdehyde - R03869.kb*Methylmalonate;
  R07600 = R07600.kf*space_2_minus_Methyl_minus_1_minus_hydroxypropyl_minus_ThPP*Enzyme_space_N6_minus_space_lipoyl_space_lysine - R07600.kb*space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_*Thiamin_space_diphosphate;
  R04188 = R04188.kf*L_minus_3_minus_Amino_minus_isobutanoate - R04188.kb*space_S_space_minus_Methylmalonate_space_semialdehyde;
  R03960 = R03960.kf*space_3R_space_minus_beta_minus_Leucine - R03960.kb*beta_minus_Ketoisocaproate;
  R01088 = R01088.kf*L_minus_Leucine - R01088.kb*space_4_minus_Methyl_minus_2_minus_oxopentanoate;
  R01214 = R01214.kf*L_minus_Valine - R01214.kb*space_3_minus_Methyl_minus_2_minus_oxobutanoic_space_acid;
  R04203 = R04203.kf*space_2S_space_3S_space_minus_3_minus_Hydroxy_minus_2_minus_methylbutanoyl_minus_CoA - R04203.kb*space_2_minus_Methylacetoacetyl_minus_CoA;
  R07602 = R07602.kf*space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP*Enzyme_space_N6_minus_space_lipoyl_space_lysine - R07602.kb*space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_*Thiamin_space_diphosphate;

  // variable properties
  default.sbmlRole="compartment";
  uVol.sbmlRole="compartment";
  E2_space_6_space_1_space_42.sbmlRole="species";
  E2_space_6_space_1_space_42.sbmlCompartment="uVol";
  E4_space_1_space_3_space_4.sbmlRole="species";
  E4_space_1_space_3_space_4.sbmlCompartment="uVol";
  E1_space_2_space_4_space_4.sbmlRole="species";
  E1_space_2_space_4_space_4.sbmlCompartment="uVol";
  E1_space_4_space_1_space_9.sbmlRole="species";
  E1_space_4_space_1_space_9.sbmlCompartment="uVol";
  E2_space_3_space_1_space_9.sbmlRole="species";
  E2_space_3_space_1_space_9.sbmlCompartment="uVol";
  E2_space_6_space_1_space_22.sbmlRole="species";
  E2_space_6_space_1_space_22.sbmlCompartment="uVol";
  E1_space_8_space_1_space_4.sbmlRole="species";
  E1_space_8_space_1_space_4.sbmlCompartment="uVol";
  E1_space_1_space_1_space_31.sbmlRole="species";
  E1_space_1_space_1_space_31.sbmlCompartment="uVol";
  E1_space_2_space_1_space_3.sbmlRole="species";
  E1_space_2_space_1_space_3.sbmlCompartment="uVol";
  E4_space_2_space_1_space_17.sbmlRole="species";
  E4_space_2_space_1_space_17.sbmlCompartment="uVol";
  E1_space_1_space_1_space_35.sbmlRole="species";
  E1_space_1_space_1_space_35.sbmlCompartment="uVol";
  E1_space_2_space_1_space_27.sbmlRole="species";
  E1_space_2_space_1_space_27.sbmlCompartment="uVol";
  E2_space_3_space_1_space_16.sbmlRole="species";
  E2_space_3_space_1_space_16.sbmlCompartment="uVol";
  E6_space_4_space_1_space_3.sbmlRole="species";
  E6_space_4_space_1_space_3.sbmlCompartment="uVol";
  Enzyme_space_N6_minus_space_lipoyl_space_lysine.sbmlRole="species";
  Enzyme_space_N6_minus_space_lipoyl_space_lysine.sbmlCompartment="uVol";
  L_minus_Leucine.sbmlRole="species";
  L_minus_Leucine.sbmlCompartment="uVol";
  space_4_minus_Methyl_minus_2_minus_oxopentanoate.sbmlRole="species";
  space_4_minus_Methyl_minus_2_minus_oxopentanoate.sbmlCompartment="uVol";
  space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP.sbmlRole="species";
  space_3_minus_Methyl_minus_1_minus_hydroxybutyl_minus_ThPP.sbmlCompartment="uVol";
  space_Dihydrolipoyllysine_minus_residue_space_space_2_minus_methylpropanoyl_space_transferase_space_.sbmlRole="species";
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}