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QuadraticQÚLinearPairQÚBinomialPartsÚTrinomialPartsÚPolyQÚEvenQÚOddQÚPerfectSquareQÚNiceSqrtAuxQÚ	NiceSqrtQÚTogetherÚPosAuxÚPosQÚCoefficientListÚ
ReplaceAllÚExpandLinearProductÚGCDÚContentFactorÚNumericFactorÚNonnumericFactorsÚMakeAssocListÚGensymSubstÚKernelSubstÚExpandExpressionÚApartÚ
SmartApartÚMatchQÚPolynomialQuotientRemainderÚFreeFactorsÚNonfreeFactorsÚRemoveContentAuxÚRemoveContentÚ	FreeTermsÚNonfreeTermsÚExpandAlgebraicFunctionÚCollectReciprocalsÚExpandCleanupÚAlgebraicFunctionQÚCoeffÚLeadTermÚRemainingTermsÚ
LeadFactorÚRemainingFactorsÚLeadBaseÚ
LeadDegreeÚNumerÚDenomÚ	hypergeomÚExponÚMergeMonomialsÚPolynomialDivideÚ	BinomialQÚ
TrinomialQÚGeneralizedBinomialQÚGeneralizedTrinomialQÚFactorSquareFreeListÚPerfectPowerTestÚSquareFreeFactorTestÚRationalFunctionQÚRationalFunctionFactorsÚNonrationalFunctionFactorsÚReverseÚRationalFunctionExponentsÚRationalFunctionExpandÚExpandIntegrandÚSimplerQÚSimplerSqrtQÚSumSimplerQÚBinomialDegreeÚTrinomialDegreeÚCancelCommonFactorsÚSimplerIntegrandQÚGeneralizedBinomialDegreeÚGeneralizedBinomialPartsÚGeneralizedTrinomialDegreeÚGeneralizedTrinomialPartsÚ	MonomialQÚMonomialSumQÚMinimumMonomialExponentÚMonomialExponentÚLinearMatchQÚPowerOfLinearMatchQÚQuadraticMatchQÚCubicMatchQÚBinomialMatchQÚTrinomialMatchQÚGeneralizedBinomialMatchQÚGeneralizedTrinomialMatchQÚQuotientOfLinearsMatchQÚPolynomialTermQÚPolynomialTermsÚNonpolynomialTermsÚPseudoBinomialPartsÚNormalizePseudoBinomialÚPseudoBinomialPairQÚPseudoBinomialQÚPolynomialGCDÚPolyGCDÚAlgebraicFunctionFactorsÚNonalgebraicFunctionFactorsÚQuotientOfLinearsPÚQuotientOfLinearsPartsÚQuotientOfLinearsQÚFlattenÚSortÚAbsurdNumberQÚAbsurdNumberFactorsÚNonabsurdNumberFactorsÚSumSimplerAuxQÚPrependÚDropÚCombineExponentsÚFactorIntegerÚFactorAbsurdNumberÚSubstForInverseFunctionÚSubstForFractionalPowerÚ*SubstForFractionalPowerOfQuotientOfLinearsÚ"FractionalPowerOfQuotientOfLinearsÚSubstForFractionalPowerQÚSubstForFractionalPowerAuxQÚFractionalPowerOfSquareQÚFractionalPowerSubexpressionQÚApplyÚFactorNumericGcdÚMergeableFactorQÚMergeFactorÚMergeFactorsÚTrigSimplifyQÚTrigSimplifyÚTrigSimplifyRecurÚOrderÚFactorOrderÚSmallestÚOrderedQÚMinimumDegreeÚPositiveFactorsÚSignÚNonpositiveFactorsÚPolynomialInAuxQÚPolynomialInQÚExponentInAuxÚ
ExponentInÚPolynomialInSubstAuxÚPolynomialInSubstÚDistribÚDistributeDegreeÚFunctionOfPowerÚDivideDegreesOfFactorsÚMonomialFactorÚFullSimplifyÚFunctionOfLinearSubstÚFunctionOfLinearÚNormalizeIntegrandÚNormalizeIntegrandAuxÚNormalizeIntegrandFactorÚNormalizeIntegrandFactorBaseÚNormalizeTogetherÚNormalizeLeadTermSignsÚAbsorbMinusSignÚNormalizeSumFactorsÚSignOfFactorÚNormalizePowerOfLinearÚSimplifyIntegrandÚSimplifyTermÚTogetherSimplifyÚSmartSimplifyÚSubstForExpnÚExpandToSumÚUnifySumÚ
UnifyTermsÚ	UnifyTermÚ	CalculusQÚFunctionOfInverseLinearÚPureFunctionOfSinhQÚPureFunctionOfTanhQÚPureFunctionOfCoshQÚIntegerQuotientQÚOddQuotientQÚEvenQuotientQÚFindTrigFactorÚFunctionOfSinhQÚFunctionOfCoshQÚOddHyperbolicPowerQÚFunctionOfTanhQÚFunctionOfTanhWeightÚFunctionOfHyperbolicQÚSmartNumeratorÚSmartDenominatorÚSubstForAuxÚActivateTrigÚ
ExpandTrigÚ
TrigExpandÚSubstForTrigÚSubstForHyperbolicÚInertTrigFreeQÚLCMÚSubstForFractionalPowerOfLinearÚFractionalPowerOfLinearÚInverseFunctionOfLinearÚ
InertTrigQÚInertReciprocalQÚDeactivateTrigÚFixInertTrigFunctionÚDeactivateTrigAuxÚPowerOfInertTrigSumQÚPiecewiseLinearQÚKnownTrigIntegrandQÚKnownSineIntegrandQÚKnownTangentIntegrandQÚKnownCotangentIntegrandQÚKnownSecantIntegrandQÚTryPureTanSubstÚTryTanhSubstÚTryPureTanhSubstÚAbsurdNumberGCDÚAbsurdNumberGCDListÚExpandTrigExpandÚExpandTrigReduceÚExpandTrigReduceAuxÚNormalizeTrigÚ	TrigToExpÚExpandTrigToExpÚ
TrigReduceÚFunctionOfTrigÚAlgebraicTrigFunctionQÚFunctionOfHyperbolicÚFunctionOfQÚFunctionOfExpnQÚPureFunctionOfSinQÚPureFunctionOfCosQÚPureFunctionOfTanQÚPureFunctionOfCotQÚFunctionOfCosQÚFunctionOfSinQÚOddTrigPowerQÚFunctionOfTanQÚFunctionOfTanWeightÚFunctionOfTrigQÚFunctionOfDensePolynomialsQÚFunctionOfLogÚPowerVariableExpnÚPowerVariableDegreeÚPowerVariableSubstÚEulerIntegrandQÚFunctionOfSquareRootOfQuadraticÚSquareRootOfQuadraticSubstÚDividesÚEasyDQÚProductOfLinearPowersQÚRtÚNthRootÚ	AtomBaseQÚSumBaseQÚNegSumBaseQÚAllNegTermQÚSomeNegTermQÚTrigSquareQÚRtAuxÚ
TrigSquareÚIntSumÚIntTermÚMap2ÚConstantFactorÚSameQÚReplacePartÚCommonFactorsÚMostMainFactorPositionÚFunctionOfExponentialQÚFunctionOfExponentialÚFunctionOfExponentialFunctionÚ FunctionOfExponentialFunctionAuxÚFunctionOfExponentialTestÚFunctionOfExponentialTestAuxÚstdevÚ	rubi_testÚIfÚIntQuadraticQÚIntBinomialQÚRectifyTangentÚRectifyCotangentÚ
InequalityÚ	ConditionÚSimpÚSimpHelpÚSplitProductÚSplitSumÚSubstForrG  ÚFresnelSÚFresnelCÚErfcÚErfiÚGammaÚFunctionOfTrigOfLinearQÚElementaryFunctionQÚComplexÚUnsameQÚ_SimpFixFactorÚSimpFixFactorÚ_FixSimplifyÚFixSimplifyÚ_SimplifyAntiderivativeSumÚSimplifyAntiderivativeSumÚ_SimplifyAntiderivativeÚSimplifyAntiderivativeÚ_TrigSimplifyAuxÚTrigSimplifyAuxÚCancelÚPartÚPolyLogÚDÚDistÚSum_doitÚPolynomialQuotientÚFloorÚPolynomialRemainderÚFactorr¿  ÚCosIntegralÚSinIntegralÚLogIntegralÚSinhIntegralÚCoshIntegralÚRuleÚErfÚ	PolyGammaÚExpIntegralEiÚExpIntegralEÚLogGammaÚUtilityOperatorÚ	FactorialÚZetaÚ
ProductLogÚDerivativeDividesÚHypergeometricPFQÚIntHideÚOneQ)ÚAdd)ÚMod)ÚMul)ÚFloatÚIÚInteger)ÚPow)ÚS)ÚAbs)Úsqrt)ÚIntegral)ÚAndÚOr)Úsimplify)ÚWC)ÚsymbolsÚSymbol)
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ƒd  ttdƒd  tttt  ƒtdƒ  ƒ tttt  ƒ ttdƒt td
ƒ   dddd sJ ‚t tt	tttt  ƒtdƒ  t tƒtt	tttt  ƒtdƒ  t ttd
ƒtdƒt tdƒ td
ƒd  tdƒt tdƒ tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒ ttdƒt td
ƒ   dddd s{J ‚t tt	tttt  ƒtdƒ  t tƒtt	tttt  ƒtdƒ  t ttd
ƒtdƒt td
ƒd  tdƒt tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒ ttdƒt td
ƒ   dddd sãJ ‚t tt	tttt  ƒt  tdƒd  tƒttdƒt	tdƒ  t
t	tttt  ƒt  ƒ ttd
ƒtdƒt tdƒ td
ƒd  tdƒt tdƒ tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒtdƒt td
ƒ   ttdƒt tdƒ   dddd!sgJ ‚t tt	tttt  ƒt  tdƒd  tƒttdƒt	 t
t	tttt  ƒt  ƒ ttd
ƒtdƒt tdƒ td
ƒd  tdƒt tdƒ tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒttd
ƒ   ttdƒt tdƒ   dddd!sãJ ‚t tt
t	tttt  ƒt  ƒtƒttdƒt
t	tttt  ƒt  ƒ ttd
ƒttdƒ td
ƒd  ttdƒ tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒ tttdƒ   dddd"sGJ ‚t ttd
ƒt
t	tttt  ƒt  ƒ tƒttdƒttd
ƒt tdƒ td
ƒd  t tdƒ tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒ tt
t	tttt  ƒt  ƒ t tdƒ   dddd"s²J ‚t tt	tttt  ƒt  tdƒd  tƒttdƒttd
ƒtdƒ t tdƒ td
ƒd  tdƒ t tdƒ tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒt td
ƒ   t	t t
t	tttt  ƒt  ƒ tdƒ t tdƒ   dddd#s2J ‚t tt	tttt  ƒt  tdƒd  tƒttdƒttd
ƒtdƒ t tdƒ td
ƒd  tdƒ t tdƒ tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒtdƒ t td
ƒ   t	tdƒ t t
t	tttt  ƒt  ƒ tdƒ t tdƒ   dddd#sºJ ‚t tt	tttt  ƒt  td
ƒt  tƒtt	tttt  ƒt  td
ƒt   ttttt  ƒƒ tttt  ƒ t dddd#sÿJ ‚t ttt	tttt  ƒ t  t tƒttt	tttt  ƒ t  t ttd
ƒtt tdƒ td
ƒd  tt tdƒ tdƒd  tttt  ƒtdƒ  ƒ tttt  ƒ ttt td
ƒ   dddd$siJ ‚t tt
tttt	t  ƒ ƒttt	t  ƒtdƒ  tƒttdƒ t
tdƒƒ t
tƒ ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ td	ƒt	  tdƒt
tdƒƒ t
tƒ ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ td	ƒt	   tdƒt
tdƒƒ t
tƒ tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	   tdƒt
tdƒƒ t
tƒ tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	   tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 t   dddd%s‚J ‚t tt
tttt	t  ƒ ƒttt	t  ƒtdƒ  tƒttdƒ t t	t
tttt	t  ƒ ƒ  dddd%s»J ‚t tt
tttt	t  ƒ ƒttt	t  ƒtdƒ  tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒt t	t
tttt	t  ƒ ƒ   dddd&sJ ‚t tt
tttt	t  ƒ ƒttt	t  ƒtdƒ  tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  tdƒt	 tttt	t  ƒ tdƒd     tdƒt t	t
tttt	t  ƒ ƒ   dddd&sJ ‚t tt
tttt	t  ƒ ƒttt	t  ƒtdƒ  tƒttdƒt tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  tdƒt
tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 ttdƒ    dddd's;J ‚t tt
tttt	t  ƒ ƒttt	t  ƒ tƒtttt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  t
tttt	t  ƒ ƒttt	t  ƒ t	  dddd's±J ‚t tt
tttt	t  ƒ ƒttt	t  ƒ tƒtttt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ t	t
tttt	t  ƒ ƒ  dddd(sJ ‚t tt
tttt	t  ƒ ƒttt	t  ƒtdƒ  tƒttdƒ ttdƒ  ttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd    tdƒt tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ   dddd(sžJ ‚t tt
tttt	t  ƒ ƒttt	t  ƒtdƒ  tƒttdƒ ttdƒ  ttt	t  ƒtdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  ttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd     tdƒt tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ   dddd)s[J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒt
tdƒƒ ttdƒd   ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ td	ƒt	  tdƒt
tdƒƒ ttdƒd   ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ td	ƒt	   tdƒt
tdƒƒ ttdƒd   tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	   tdƒt
tdƒƒ ttdƒd   tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	   tdƒt t
tttt	t  ƒ ƒ tdƒt	   tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 t   dddd*sŸJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒt t
tttt	t  ƒ ƒ t	 dddd*sÛJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒt t
tttt	t  ƒ ƒ t	  dddd+s8J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  tdƒt	 tttt	t  ƒ tdƒd     tdƒt t
tttt	t  ƒ ƒ t	  dddd+sµJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ t t
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 t
ttdƒt tdƒt	 t  ƒƒ  tdƒtttt	t  ƒ tdƒd   ttt	t  ƒ tdƒt	   tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 ttdƒ    dddd,slJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒ tƒttdƒ t t
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ t	t
ttdƒt tdƒt	 t  ƒƒ  tdƒtttt	t  ƒ tdƒd   ttt	t  ƒ t	  dddd,sïJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒ tƒttdƒ t t
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ t	t
ttdƒt tdƒt	 t  ƒƒ  tdƒtttt	t  ƒ tdƒd   ttt	t  ƒ t	  dddd-srJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  ttt	t  ƒ t	t
tttt	t  ƒ ƒ  tdƒt t
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ t	t
ttdƒt tdƒt	 t  ƒƒ   tdƒtttt	t  ƒ tdƒd   ttt	t  ƒ t	  dddd.sJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒt tttt	t  ƒ tdƒd   tdƒt	  dddd.s]J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  t	t
tttt	t  ƒ ƒ  tdƒt tttt	t  ƒ tdƒd   tdƒt	   dddd.sºJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  t	t
tttt	t  ƒ ƒ   tdƒt tttt	t  ƒ tdƒd   tdƒt	   dddd/s7J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  tdƒttdƒ  t
tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   tttt	t  ƒ tdƒd  ttt	t  ƒ t	  tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 ttdƒ    dddd0sJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒ tƒttdƒ ttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  tdƒttdƒ  t
tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   tdƒtttt	t  ƒ tdƒd   ttt	t  ƒ tdƒt	   dddd0sÁJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒ tƒtttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  tdƒttdƒ  t
tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   dddd1sNJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  tdƒttdƒ  t
tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   dddd1sâJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  ttt	t  ƒtdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ   tdƒttdƒ  t
tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   dddd2s£J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  ttt	t  ƒtdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  ttt	t  ƒtdƒ  tdƒt	 tttt	t  ƒ tdƒd     tdƒttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ   tdƒttdƒ  t
tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   dddd3sJ ‚t tttt	t  ƒtdƒ t
tttt	t  ƒ ƒ tƒttdƒ t
tttt	t  ƒ ƒ ttt	t  ƒtdƒ  tdƒt	 t  tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 ttdƒ    tdƒt
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tttt	t  ƒ ƒ tƒttdƒ t tdƒt	 tttt	t  ƒ tdƒd    dddd6sJ ‚t tttt	t  ƒtdƒ t
tttt	t  ƒ ƒ tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒt tdƒt	 tttt	t  ƒ tdƒd     dddd6sxJ ‚t tttt	t  ƒtdƒ t
tttt	t  ƒ ƒ tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  tdƒt	 tttt	t  ƒ tdƒd     tdƒt tdƒt	 tttt	t  ƒ tdƒd     dddd6sùJ ‚t tttt	t  ƒtdƒ t
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ttdƒt tdƒt	 t  ƒƒ  tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 ttdƒ    dddd7s…J ‚t tttt	t  ƒt
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ttdƒt tdƒt	 t  ƒƒ  dddd7sáJ ‚t tttt	t  ƒt
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ttdƒt tdƒt	 t  ƒƒ   dddd8s\J ‚t tttt	t  ƒtdƒ t
tttt	t  ƒ ƒ tƒttdƒ ttdƒ  ttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd    tdƒttt	t  ƒ tdƒt	 t
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tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     dddd;sˆJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ t tdƒt	 tttt	t  ƒ tdƒd    dddd;sÍJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒt tdƒt	 tttt	t  ƒ tdƒd     dddd<s2J ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  tdƒt	 tttt	t  ƒ tdƒd     tdƒt tdƒt	 tttt	t  ƒ tdƒd     dddd<s·J ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttt tdƒ t t	t  tdƒƒt
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t t
tttt	t  ƒ ƒ  t
tttt	t  ƒ ƒttt	t  ƒtdƒ  tdƒt	 ttdƒ    t
tttt	t  ƒ ƒttt	t  ƒ tdƒt	 ttdƒ    dddd=scJ ‚t tttt	t  ƒtttt	t  ƒ tdƒd   tƒttt tdƒ t t	t  tdƒƒt
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t t
tttt	t  ƒ ƒ  t
tttt	t  ƒ ƒttt	t  ƒ t	ttdƒ    dddd=sãJ ‚t tttt	t  ƒtttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd    tt tdƒ t t	t  tdƒƒt
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t t
tttt	t  ƒ ƒ   dddd>sjJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttdƒ  ttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd    tdƒttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd     tdƒtt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t t
tttt	t  ƒ ƒ   dddd?s!J ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒtt
tttt	t  ƒ ƒ ttt	t  ƒtdƒ  tdƒt	 ttdƒ   t
tttt	t  ƒ ƒttt	t  ƒtdƒ  tdƒt	 ttdƒ    tdƒt
tdƒƒ ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ tdƒt	 ttdƒd     tdƒt
tdƒƒ ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ tdƒt	 ttdƒd     tdƒt
tdƒƒ tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     tdƒt
tdƒƒ tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     dddd@srJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒtt
tttt	t  ƒ ƒttt	t  ƒtdƒ  tdƒt	 ttdƒ   tdƒt
tdƒƒ ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ td	ƒt	 ttdƒd     tdƒt
tdƒƒ ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ td	ƒt	 ttdƒd     tdƒt
tdƒƒ tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     tdƒt
tdƒƒ tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     ddddAsžJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ t tdƒt	 tttt	t  ƒ tdƒd    ddddAsãJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒt tdƒt	 tttt	t  ƒ tdƒd     ddddBsHJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttdƒ  tdƒt	 tttt	t  ƒ tdƒd    tdƒttdƒ  tdƒt	 tttt	t  ƒ tdƒd     tdƒt tdƒt	 tttt	t  ƒ tdƒd     ddddBsÍJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ  tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 ttdƒ    tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 ttdƒ    ddddCsJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒtt
tttt	t  ƒ ƒtt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ  tttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tdƒt	 ttdƒ    ddddDs!J ‚t tttt	t  ƒtttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒ t	ttdƒ  t
tttt	t  ƒ ƒ  tdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ t	ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   ddddDsªJ ‚t tttt	t  ƒtttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd    tdƒttt	t  ƒ tdƒt	 ttdƒ  t
tttt	t  ƒ ƒ   tdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   ddddEs]J ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttdƒ  ttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd    tdƒttt	t  ƒ tdƒt	 tttt	t  ƒ tdƒd     tdƒttt	t  ƒ tdƒt	 ttdƒ  t
tttt	t  ƒ ƒ   tdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   ddddFs<J ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttd	ƒt	tdƒ  t t
ttttt  ƒ ƒ tdƒt t
t	tttt  ƒ ƒ  tdƒt t	tttt  ƒ tdƒd   t
ttttt  ƒ ƒ tdƒt   ddddFsºJ ‚t tttƒtdƒd  ttƒtdƒd   tƒttdƒ ttƒtdƒd   tdƒttƒtdƒd    ddddFs÷J ‚t tt	tttt  ƒ tdƒd  t
ttttt  ƒ ƒ tƒttdƒt	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddGszJ ‚t tt	tttt  ƒ td
ƒd  t
ttttt  ƒ ƒ tƒttdƒt	tttt  ƒ td
ƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd td ƒd tttt  ƒtdƒ ƒ tdƒt t  ddddGsýJ ‚t tt
ttttt  ƒ ƒt	tttt  ƒ td
ƒd   tƒttdƒttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd td!ƒd tttt  ƒtdƒ ƒ tdƒt t t	tttt  ƒ td
ƒd    ddddHs€J ‚t tt
ttttt  ƒ ƒt	tttt  ƒ tdƒd   tƒttdƒttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttd
ƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tt t	tttt  ƒ tdƒd    ddddHsÿJ ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒt t	tttt  ƒ tdƒd   t
ttttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttdƒd td ƒd td"ƒd tttt  ƒtdƒ ƒ td ƒt	tdƒ  t  ddddIsˆJ ‚t tt	tttt  ƒ td
ƒd  ttttt  ƒ tdƒd   tƒttdƒt t	tttt  ƒ tdƒd   t
ttttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt	tdƒ  t  ddddJsJ ‚t tttttt  ƒ tdƒd  t	tttt  ƒ td
ƒd   tƒttdƒt t	tttt  ƒ tdƒd   t
ttttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttdƒd tdƒd td#ƒd tttt  ƒtdƒ ƒ tdƒt	tdƒ  t  ddddJsšJ ‚t tttttt  ƒ tdƒd  t	tttt  ƒ tdƒd   tƒttdƒt t	tttt  ƒ tdƒd   t
ttttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttdƒd tdƒd td!ƒd tttt  ƒtdƒ ƒ tdƒt	tdƒ  t  ddddKs#J ‚t tt
t	tttt  ƒ ƒttttt  ƒ tdƒd   tƒttdƒt t	tttt  ƒ tdƒd   ttttt  ƒ td
ƒd   tttt  ƒtdƒ td
ƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt	tdƒ  t  ddddLsKt tt
t	tttt  ƒ ƒttttt  ƒ tdƒd   tƒttdƒ t t
t	tttt  ƒ ƒ ttttt  ƒ td
ƒd   tttt  ƒtdƒ td
ƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ  ƒ t tdƒt t
t	tttt  ƒ ƒ ttttt  ƒ td
ƒd   t  ddddLsKJ ‚t tt
t	tttt  ƒ ƒttttt  ƒ td
ƒd   tƒttdƒt
t	tttt  ƒ ƒ ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd td ƒd tttt  ƒtdƒ ƒ tdƒt t  ddddLsÊJ ‚t tt
t	tttt  ƒ ƒttttt  ƒ td
ƒd   tƒttdƒt
t	tttt  ƒ ƒ ttttt  ƒ tdƒd   tttt  ƒtdƒ td
ƒd   ttd
ƒd tdƒd td!ƒd tttt  ƒtdƒ ƒ tdƒt t  ddddMsIJ ‚t tt
t	tttt  ƒ ƒttttt  ƒ tdƒd   tƒttdƒt
t	tttt  ƒ ƒ ttdƒd td
ƒd tdƒd tttt  ƒtdƒ ƒ tt ttttt  ƒ td
ƒd   tttt  ƒtdƒ td
ƒd    ddddNsbt tt
t	tttt  ƒ ƒttttt  ƒ tdƒd   tƒttdƒt
t	tttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttd
ƒd td
ƒd tdƒd tttt  ƒtdƒ  ƒ tt ttttt  ƒ td
ƒd    tdƒt
t	tttt  ƒ ƒ tt ttttt  ƒ td
ƒd     ddddNsbJ ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒt t	tttt  ƒ tdƒd   ttttt  ƒ td
ƒd   tttt  ƒtdƒ td
ƒd   ttdƒd td ƒd td"ƒd tttt  ƒtdƒ ƒ td ƒt	tdƒ  t  ddddOsšt tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒ t t	tttt  ƒ tdƒd   ttttt  ƒ td
ƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd td ƒd tttt  ƒtdƒ  ƒ t tdƒt t	tttt  ƒ tdƒd   ttttt  ƒ td
ƒd   t  ddddOsšJ ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ td
ƒd   tƒttdƒt	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddPs!J ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ td
ƒd   tƒttdƒt	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ td
ƒd   ttd
ƒd tdƒd td#ƒd tttt  ƒtdƒ ƒ tdƒt t  ddddPs¨J ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒt	tttt  ƒ tdƒd   ttdƒd tdƒd td!ƒd tttt  ƒtdƒ ƒ tdƒt t ttttt  ƒ td
ƒd   tttt  ƒtdƒ td
ƒd    ddddQsát tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒt	tttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd td!ƒd tttt  ƒtdƒ  ƒ tdƒt t ttttt  ƒ td
ƒd    tdƒt	tttt  ƒ tdƒd   tdƒt t ttttt  ƒ td
ƒd     ddddQsáJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ ttdƒ  ttdƒttdƒ tdƒ ttdƒ tdƒ tttt  ƒtdƒ ƒ t	tdƒ t ttdƒ   ddddRsFJ ‚t tt	tttt  ƒ t tttt  ƒ tƒtt	tttt  ƒ ttdƒ  ttd
ƒttdƒ td
ƒ ttdƒ tdƒ tttt  ƒtdƒ ƒ t	tdƒ t ttdƒ   ddddRs§J ‚t tt	tttt  ƒ t tttt  ƒ tƒtt	tttt  ƒ t tt  ddddRs×J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tdƒ  t	tttt  ƒ ttdƒ   tt tdƒ   t	tttt  ƒ t tt   ddddSs+J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tdƒ  t	tttt  ƒ ttdƒ   tt tdƒ   tdƒt	tdƒ  t	tttt  ƒ ttdƒ   tt tdƒ    t	tttt  ƒ t tt   ddddSs¢J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ ttdƒ  t
tttt  ƒtdƒ ƒ ttdƒd ttdƒ tdƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ tttt  ƒ t	tdƒ t ttdƒ   ddddTs#J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ ttdƒ  t
tttt  ƒtdƒ ƒ ttdƒd ttdƒ tdƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ tttt  ƒ t	tdƒ t ttdƒ   ddddTs¤J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	 t	tttt  ƒ ttdƒ   ttdƒd ttdƒ tdƒd  ttdƒ td
ƒd  tttt  ƒtdƒ ƒ tttt  ƒ tt td
ƒ  t
tttt  ƒtdƒ ƒ  ddddUs#J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tdƒ  t	tttt  ƒ ttdƒ   ttdƒd ttdƒ tdƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ tttt  ƒ tt tdƒ  t
tttt  ƒtdƒ ƒ  ddddUs¦J ‚t tt	tttt  ƒ t ttttt  ƒ tdƒd   tƒttdƒt t	tttt  ƒ ttdƒ   t
ttttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttdƒd ttdƒ tdƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ t	tdƒ t tdƒt tdƒ   ddddVs=J ‚t tt	tttt  ƒ t t
ttttt  ƒ ƒ tƒttdƒt	tttt  ƒ t  ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd ttdƒ tdƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ tt tdƒt tdƒ   ddddVsÊJ ‚t tt	tttt  ƒ t t
ttttt  ƒ ƒ tƒttdƒt	tttt  ƒ t  t
ttttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttd
ƒd ttdƒ td
ƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ tt tdƒt td
ƒ   ddddWsSJ ‚t tt	tttt  ƒ t ttttt  ƒ tdƒd   tƒttdƒ t	tttt  ƒ t  ttdƒd ttdƒ tdƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ tt t
ttttt  ƒ ƒ tdƒ t td
ƒ  tttt  ƒtdƒ td
ƒd    ddddWsâJ ‚t tttttt  ƒ t t	tttt  ƒ t  tƒtttttt  ƒ t t	tttt  ƒ ttd
ƒ   tttt  ƒtdƒ ttdƒ td
ƒd    tttdƒ td
ƒd  ttdƒ ttdƒ  td
ƒd  ttdƒ ttdƒ  tdƒd  tttt  ƒtdƒ ƒ t	t tt td
ƒ   ddddXsJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ ttdƒ  ttdƒttdƒ tdƒd  ttdƒ tdƒd  tttt  ƒtdƒ  ƒ t	tdƒ t ttdƒ   ddddXsëJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ ttdƒ  ttdƒttdƒ tdƒd  ttdƒ tdƒd  tttt  ƒtdƒ  ƒ t	tdƒ t ttdƒ   ddddYsUJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	 t	tttt  ƒ ttdƒ   tt td
ƒ   ddddYs•J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tdƒ  t	tttt  ƒ ttdƒ   tt tdƒ   t	t	tttt  ƒ ttdƒ   tt td
ƒ    ddddYsôJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tdƒ  t	tttt  ƒ ttdƒ   tt tdƒ   tdƒt	tdƒ  t	tttt  ƒ ttdƒ   tt tdƒ    t	t	tttt  ƒ ttdƒ   tt td
ƒ    ddddZsvJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ ttdƒ  tttt  ƒtdƒ ttdƒ td
ƒd    tttdƒ td
ƒd  ttdƒ tdƒ ttdƒ tdƒ tttt  ƒtdƒ ƒ tttt  ƒtdƒ  t	tdƒ t ttdƒ   dddd[sJ ‚t tt	tttt  ƒ t tttt  ƒ tƒtt	tttt  ƒ ttdƒ  tttt  ƒtdƒ ttdƒ td
ƒd    tttdƒ td
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ƒ ttdƒ tdƒ tttt  ƒtdƒ ƒ tttt  ƒ t	tdƒ t ttdƒ   dddd[sJ ‚t tt	tttt  ƒ t tttt  ƒ tƒtt	tttt  ƒ t tttt  ƒtdƒ ttdƒ td
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ƒ tttt  ƒtdƒ ƒ tttt  ƒ tt  dddd\sJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tdƒ  t	tttt  ƒ ttdƒ   tttt  ƒtdƒ ttdƒ td
ƒd    tttdƒ tdƒ ttdƒ td
ƒd  ttdƒ tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tt tdƒ   dddd\s–J ‚t tttttt  ƒ t t	tttt  ƒ t  tƒtttttt  ƒ t t	tttt  ƒ ttd
ƒ   tttt  ƒtdƒ t tdƒ ttdƒ  td
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ƒd  t tdƒ ttdƒ  td
ƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ t	t ttd
ƒ   dddd]s5J ‚t tttttt  ƒ t t	tttt  ƒ t  tƒtttttt  ƒ ttd
ƒ  t	tttt  ƒ t  ttd
ƒttdƒ ttdƒ  td
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ttttt  ƒ ƒ tt tdƒ t tt  tdƒƒ tttt  ƒ tdƒt t
ttdƒt tdƒt t  ƒƒ  tdƒttttt  ƒ tdƒd   tttt  ƒ tdƒt t   tdƒttttt  ƒ tdƒd   tttt  ƒ tdƒt t   dddd‚sòJ ‚t tt
ttttt  ƒ ƒtttt  ƒ tƒttdƒ t
ttttt  ƒ ƒ tt tdƒ t tt  tdƒƒ tttt  ƒ tt
ttdƒt tdƒt t  ƒƒ  tdƒttttt  ƒ tdƒd   tttt  ƒ tt   ddddƒsqJ ‚t tt
ttttt  ƒ ƒtttt  ƒ tƒtt
ttttt  ƒ ƒtt tdƒ t tt  tdƒƒ tttt  ƒ tt
ttdƒt tdƒt t  ƒƒ  ddddƒsËJ ‚t tt
ttttt  ƒ ƒtttt  ƒtdƒ  tƒtt
ttttt  ƒ ƒtt tdƒ t tt  tdƒƒ tttt  ƒ tdƒt t
ttdƒt tdƒt t  ƒƒ  ttttt  ƒ tdƒd  tttt  ƒtdƒ  tdƒt t   dddd„sQJ ‚t tt
ttttt  ƒ ƒtttt  ƒtdƒ  tƒttdƒt
ttttt  ƒ ƒ tt tdƒ t tt  tdƒƒ tttt  ƒ tdƒt t
ttdƒt tdƒt t  ƒƒ  ttttt  ƒ tdƒd  tttt  ƒtdƒ  tdƒt t   tdƒttttt  ƒ tdƒd   tttt  ƒtdƒ  td$ƒt t   dddd…sJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒtttt	t  ƒ tdƒd   tdƒt	 t  tdƒtttt	t  ƒ tdƒd   tdƒt	 ttdƒ    tdƒtttt	t  ƒ tdƒd   tdƒt	 ttdƒ    dddd…s‡J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒtttt	t  ƒ tdƒd   tdƒt	 t  tdƒtttt	t  ƒ tdƒd   tdƒt	 ttdƒ    dddd…sëJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒtttt	t  ƒ tdƒd   tdƒt	 t  dddd†s/J ‚t ttttt	t  ƒ tdƒd  tƒtt
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tttt	t  ƒ ƒ t	  dddd‡s/J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒtt
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tttt	t  ƒ ƒ ttt	t  ƒtdƒ  tdƒt	   ddddˆsHJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ td%ƒt	 t
tttt	t  ƒ ƒ  tdƒt t
tttt	t  ƒ ƒ ttt	t  ƒtdƒ  tdƒt	   tdƒt t
tttt	t  ƒ ƒ ttt	t  ƒtdƒ  td%ƒt	   tdƒt t
tttt	t  ƒ ƒ ttt	t  ƒ td%ƒt	   dddd‰s!J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒttdƒ ttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  tdƒt t
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tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   dddd‰sÖJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒ tƒtttdƒ  tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  tdƒt t
tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   ddddŠs_J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒ tƒtttdƒ tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 t
tttt	t  ƒ ƒ  tt
tttt	t  ƒ ƒ ttt	t  ƒ t	  ddddŠsßJ ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒtttdƒ tt tdƒ t t	t  tdƒƒ t
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tttt	t  ƒ ƒ  tt
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tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   dddd‹s‡J ‚t ttttt	t  ƒ tdƒd  ttt	t  ƒtdƒ  tƒtttdƒ tt tdƒ t t	t  tdƒƒ t
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ td&ƒt	 t
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tttt	t  ƒ ƒ ttt	t  ƒ tdƒt	   ddddŒsOJ ‚t tttttt  ƒ tdƒd  tttt  ƒtdƒ  tƒttdƒttttt  ƒ tdƒd   tdƒt t  tdƒttttt  ƒ tdƒd   tdƒttdƒ  t   tdƒttttt  ƒ tdƒd   tdƒttdƒ  t   ddddŒsÓJ ‚t tttttt  ƒ tdƒd  tttt  ƒtdƒ  tƒttdƒttttt  ƒ tdƒd   tdƒt t  tdƒttttt  ƒ tdƒd   tdƒttdƒ  t   dddds7J ‚t tttttt  ƒ tdƒd  tttt  ƒtdƒ  tƒttdƒttttt  ƒ tdƒd   tdƒt t  dddds{J ‚t tttttt  ƒ tdƒd  tƒtt
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tdƒƒ ttdƒd   tt
tƒtttt  ƒ t
tƒ t
tdƒƒt
ttttt  ƒ ƒ  ƒ tdƒt   tttttt  ƒ tdƒd   tttt  ƒtdƒ  tdƒt   tdƒt ttttt  ƒ tdƒd   tttt  ƒtdƒ  tdƒt   dddd‘sJ ‚t ttttt  ƒtdƒ t
ttttt  ƒ ƒ tƒttdƒtt tdƒ t tt  tdƒƒ t
ttdƒt tdƒt t  ƒƒ tttt  ƒ tdƒt t
ttttt  ƒ ƒ  tdƒt
ttttt  ƒ ƒ tttt  ƒtdƒ  tdƒt t   tdƒt
ttttt  ƒ ƒ tttt  ƒ tdƒt t   dddd‘s¯J ‚t ttttt  ƒtdƒ t
ttttt  ƒ ƒ tƒttdƒtt tdƒ t tt  tdƒƒ t
ttdƒt tdƒt t  ƒƒ tttt  ƒ tdƒt t
ttttt  ƒ ƒ  tdƒt
ttttt  ƒ ƒ tttt  ƒ tdƒt t   dddd’s5J ‚t ttttt  ƒt
ttttt  ƒ ƒ tƒttt tdƒ t tt  tdƒƒt
ttdƒt tdƒt t  ƒƒ tttt  ƒ tt
ttttt  ƒ ƒ  dddd’sJ ‚t ttttt  ƒt
ttttt  ƒ ƒ tƒttt tdƒ t tt  tdƒƒt
ttdƒt tdƒt t  ƒƒ tttt  ƒ tdƒt t
ttttt  ƒ ƒ  t
ttttt  ƒ ƒtttt  ƒ tt   dddd“sJ ‚t ttttt  ƒtdƒ t
ttttt  ƒ ƒ tƒttdƒtt tdƒ t tt  tdƒƒ t
ttdƒt tdƒt t  ƒƒ tttt  ƒ tdƒt t
ttttt  ƒ ƒ  t
ttttt  ƒ ƒtttt  ƒtdƒ  tdƒt t   tdƒt
ttttt  ƒ ƒ tttt  ƒ tdƒt t   dddd“s«J ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ t	t t
tttt	t  ƒ ƒ  tdƒtttt	t  ƒ tdƒd   tdƒt	 ttdƒ    tdƒtttt	t  ƒ tdƒd   tdƒt	 ttdƒ    dddd”s(J ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ t	t t
tttt	t  ƒ ƒ  tdƒtttt	t  ƒ tdƒd   tdƒt	 ttdƒ    dddd”s…J ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ t	t t
tttt	t  ƒ ƒ  dddd”sÂJ ‚t ttttt	t  ƒ tdƒd  tƒttdƒ t	t t
tttt	t  ƒ ƒ  t
tdƒƒttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ tdƒt	 ttdƒd     t
tdƒƒttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ tdƒt	 ttdƒd     t
tdƒƒtt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     t
tdƒƒtt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     dddd•sÃJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒtttt	t  ƒtdƒ tdƒt	 t t
tttt	t  ƒ ƒ  tdƒtdƒt	 t t
tttt	t  ƒ ƒ   tdƒt
tdƒƒ ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ td	ƒt	 ttdƒd     tdƒt
tdƒƒ ttd
ƒt
tdƒƒt
tttt	t  ƒ ƒ t
tƒ  ƒ td	ƒt	 ttdƒd     tdƒt
tdƒƒ tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     tdƒt
tdƒƒ tt
tƒttt	t  ƒ t
tƒ t
tdƒƒt
tttt	t  ƒ ƒ  ƒ tdƒt	 ttdƒd     dddd—sJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒtdƒ  t	t t
tttt	t  ƒ ƒ  td&ƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   td&ƒtttt	t  ƒ tdƒd   ttt	t  ƒ tdƒt	 ttdƒ    tdƒtttt	t  ƒ tdƒd   ttt	t  ƒ tdƒt	 ttdƒ    dddd—säJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒ t	t t
tttt	t  ƒ ƒ  tdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ t	ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   tdƒtttt	t  ƒ tdƒd   ttt	t  ƒ t	ttdƒ    dddd˜s‘J ‚t tttt	t  ƒtttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒ t	t t
tttt	t  ƒ ƒ  tdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ t	ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   dddd™sJ ‚t tttt	t  ƒtttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒ t	t t
tttt	t  ƒ ƒ  tdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ t	ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   dddd™s›J ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒtdƒ  t	t t
tttt	t  ƒ ƒ  tdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   tdƒtttt	t  ƒ tdƒd   ttt	t  ƒtdƒ  tdƒt	 ttdƒ    ddddšsXJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒtdƒ  t	t t
tttt	t  ƒ ƒ  td%ƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   tdƒtttt	t  ƒ tdƒd   ttt	t  ƒtdƒ  tdƒt	 ttdƒ    td%ƒtttt	t  ƒ tdƒd   ttt	t  ƒtdƒ  td$ƒt	 ttdƒ    dddd›sAJ ‚t tttt	t  ƒtttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒ tdƒt	 t tttt	t  ƒ tdƒd    tt tdƒ t t	t  tdƒƒt
ttdƒt tdƒt	 t  ƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
tttt	t  ƒ ƒ   dddd›sÎJ ‚t tttt	t  ƒtdƒ tttt	t  ƒ tdƒd   tƒttdƒ ttt	t  ƒ tdƒt	 t tttt	t  ƒ tdƒd    tdƒttt	t  ƒ tdƒt	 ttdƒ  t
tttt	t  ƒ ƒ   tdƒt
tttt	t  ƒ ƒ tt tdƒ t t	t  tdƒƒ ttt	t  ƒ tdƒt	 ttdƒ  t
ttdƒt tdƒt	 t  ƒƒ   ddddœs‡J ‚t ttttt  ƒtdƒ tttt  ƒtdƒd   tƒttttt  ƒtdƒ td
ƒd  ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tttt  ƒtd
ƒd   tdƒt  ddddœsüJ ‚t ttttt  ƒtdƒ tttt  ƒtdƒd   tƒttttt  ƒtdƒ tdƒd  ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tttt  ƒtdƒd   tdƒt  ddddsqJ ‚t ttttt  ƒtdƒ tttt  ƒtd
ƒd   tƒttttt  ƒtdƒ tdƒd  ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tttt  ƒtdƒd   tdƒt  ddddsæJ ‚t ttttt  ƒtdƒ tttt  ƒtd
ƒd   tƒttttt  ƒtdƒ td
ƒd  ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tttt  ƒtdƒd   tdƒt  ddddžs[J ‚t ttttt  ƒtdƒ tttt  ƒtdƒd   tƒttttt  ƒtdƒ td
ƒd  ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tttt  ƒtd
ƒd   tdƒt  ddddžsÐJ ‚t ttttt  ƒtdƒ tttt  ƒtdƒd   tƒttttt  ƒtdƒ td
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ƒd   tƒttttt  ƒtdƒ tdƒd  ttdƒd td	ƒd tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tttt  ƒtdƒd   tdƒt  dddd s/J ‚t ttttt  ƒtdƒ tttt  ƒtd
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t	tttt  ƒ ƒ tdƒt ttttt  ƒ tdƒd     dddd®s]J ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒt	tttt  ƒ tdƒd   tdƒt	 t ttttt  ƒ tdƒd    dddd®sµJ ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒt	tdƒ  t
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ttttt  ƒ ƒ t
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ttttt  ƒ ƒ   t	t	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tdƒt   dddd²s J ‚t tt	tttt  ƒ tdƒd  t
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t	tttt  ƒ ƒ tt tdƒ ttdƒ  tt tdƒ  tdƒƒ t	tdƒ t t
ttttt  ƒ ƒ t
tttt  ƒƒ   dddd»s°J ‚t tt
ttttt  ƒ ƒt	tttt  ƒ tdƒd   tƒttdƒ t
ttttt  ƒ ƒ t	t t
t	tttt  ƒ ƒ  dddd»sùJ ‚t ttd
ƒt	tttt  ƒ tdƒd  t
ttttt  ƒ ƒ  tƒttdƒ t	t t
t	tttt  ƒ ƒ t
ttttt  ƒ ƒ  tdƒt
t	tttt  ƒ ƒ tt tdƒ ttdƒ  tt tdƒ  tdƒƒ t	tdƒ t t
ttttt  ƒ ƒ t
tttt  ƒƒ   dddd¼sŽJ ‚t ttd
ƒt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd    tƒttdƒtdƒt	 t t
t	tttt  ƒ ƒ ttttt  ƒ tdƒd    td	ƒt
ttttt  ƒ ƒ tdƒt	 ttdƒ  t t
t	tttt  ƒ ƒ   dddd½s“t ttd
ƒt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd    tƒttdƒ t	t t
t	tttt  ƒ ƒ ttttt  ƒ tdƒd    td	ƒt	tttt  ƒ tdƒd   tdƒt	tdƒ  t ttttt  ƒ tdƒd     dddd½s“J ‚t ttd
ƒt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd    tƒttdƒ t	t t
t	tttt  ƒ ƒ ttttt  ƒ tdƒd    td&ƒt
t	tttt  ƒ ƒ tt tdƒ ttdƒ  tt tdƒ  tdƒƒ tdƒt	tdƒ  ttdƒ  t t
ttttt  ƒ ƒ t
tttt  ƒƒ   tdƒt	tttt  ƒ tdƒd   tdƒt	tdƒ  t ttttt  ƒ tdƒd     dddd¾sjJ ‚t tttttt  ƒ tdƒd  t	tttt  ƒ tdƒd   tƒttdƒ ttdƒ  ttttt  ƒ tdƒd   tdƒt	 t t	tttt  ƒ tdƒd    ttdƒ t
t	tttt  ƒ ƒ t
ttttt  ƒ ƒ tt
t	tttt  ƒ ƒt
t	ƒ ƒ t	tdƒd  t t
t	tttt  ƒ ƒ   ttdƒ t
t	tttt  ƒ ƒ t
ttttt  ƒ ƒ tt
t	tttt  ƒ ƒt
t	ƒ ƒ t	tdƒd  t t
t	tttt  ƒ ƒ   dddd¿sUJ ‚t tttttt  ƒ tdƒd  t	tttt  ƒ tdƒd   tƒttdƒ ttdƒ  t
ttttt  ƒ ƒ tdƒt	 t t	tttt  ƒ tdƒd    tdƒttdƒ  t
ttttt  ƒ ƒ tt tdƒ ttdƒ  tt tdƒ  tdƒƒ t
tttt  ƒƒ tdƒt	tdƒ  t t
t	tttt  ƒ ƒ   ddddÀsJ ‚t tttttt  ƒ tdƒd  t	tttt  ƒ tdƒd   tƒttdƒ ttttt  ƒ tdƒd   tdƒt	 t t	tttt  ƒ tdƒd    ddddÀs[J ‚t tt
ttttt  ƒ ƒt	tttt  ƒ tdƒd   tƒttdƒ t
ttttt  ƒ ƒ tdƒt	 t t	tttt  ƒ tdƒd    tdƒt
ttttt  ƒ ƒ tt tdƒ ttdƒ  tt tdƒ  tdƒƒ t
tttt  ƒƒ tdƒt	tdƒ  t t
t	tttt  ƒ ƒ   ddddÀsøJ ‚t ttd
ƒt	tttt  ƒ tdƒd  t
ttttt  ƒ ƒ  tƒttdƒ tdƒt	 t t	tttt  ƒ tdƒd   t
ttttt  ƒ ƒ  td	ƒt
t	tttt  ƒ ƒ tdƒt	tdƒ  t t
ttttt  ƒ ƒ   ddddÁsuJ ‚t ttd
ƒt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd    tƒttdƒ tdƒt	 t t	tttt  ƒ tdƒd   ttttt  ƒ tdƒd    td	ƒt
ttttt  ƒ ƒ tt tdƒ ttdƒ  tt tdƒ  tdƒƒ t
tttt  ƒƒ tdƒt	tdƒ  ttdƒ  t t
t	tttt  ƒ ƒ   tdƒt
t	tttt  ƒ ƒ tdƒt	tdƒ  t ttttt  ƒ tdƒd     ddddÂsPJ ‚t ttd
ƒt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd    tƒttdƒ tdƒt	 t t	tttt  ƒ tdƒd   ttttt  ƒ tdƒd    tdƒt
t	tttt  ƒ ƒ tdƒt	tdƒ  t ttttt  ƒ tdƒd     tdƒt
t	tttt  ƒ ƒ tdƒt	tdƒ  ttdƒ  t t
ttttt  ƒ ƒ   ddddÃsJ ‚t tt	tttt  ƒ tdƒd  t
ttttt  ƒ ƒ tƒttdƒt	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÃsŠJ ‚t tt	tttt  ƒ td
ƒd  t
ttttt  ƒ ƒ tƒttdƒt	tttt  ƒ td
ƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÄsJ ‚t tt
ttttt  ƒ ƒt	tttt  ƒ td
ƒd   tƒttdƒttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t t	tttt  ƒ td
ƒd    ddddÄsJ ‚t tt
ttttt  ƒ ƒt	tttt  ƒ tdƒd   tƒttdƒttttt  ƒ tdƒd   tttt  ƒtdƒ td
ƒd   ttd
ƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t t	tttt  ƒ tdƒd    ddddÅsJ ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒt	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ td ƒd   ttdƒd td ƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÅsšJ ‚t tt	tttt  ƒ td
ƒd  ttttt  ƒ tdƒd   tƒttdƒt	tttt  ƒ td
ƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÆs!J ‚t tttttt  ƒ tdƒd  t	tttt  ƒ td
ƒd   tƒttdƒttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t t	tttt  ƒ td
ƒd    ddddÆs¨J ‚t tttttt  ƒ tdƒd  t	tttt  ƒ tdƒd   tƒttdƒttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t t	tttt  ƒ tdƒd    ddddÇs/J ‚t tt
t	tttt  ƒ ƒttttt  ƒ tdƒd   tƒttdƒt
t	tttt  ƒ ƒ ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÇs®J ‚t tt
t	tttt  ƒ ƒttttt  ƒ td
ƒd   tƒttdƒt
t	tttt  ƒ ƒ ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÈs-J ‚t tt
t	tttt  ƒ ƒttttt  ƒ td
ƒd   tƒttdƒt
t	tttt  ƒ ƒ ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttd
ƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÈs¬J ‚t tt
t	tttt  ƒ ƒttttt  ƒ tdƒd   tƒttdƒ t
t	tttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttdƒd td
ƒd tdƒd tttt  ƒtdƒ ƒ tt ttttt  ƒ td
ƒd    ddddÉs(J ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒt	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ td ƒd   ttdƒd td ƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÉs¯J ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ td
ƒd   tƒttdƒt	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÊs6J ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ td
ƒd   tƒttdƒt	tttt  ƒ tdƒd   ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttd
ƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tdƒt t  ddddÊs½J ‚t tt	tttt  ƒ tdƒd  ttttt  ƒ tdƒd   tƒttdƒ t	tttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd tdƒd tdƒd tttt  ƒtdƒ ƒ tt ttttt  ƒ td
ƒd    ddddËsAJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t tt  tdƒt	tttt  ƒ ttdƒ   t	tdƒ t ttdƒ    t	tttt  ƒ ttdƒ  t	tdƒ t ttdƒ    ddddËsµJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t  tt  t	tttt  ƒ ttdƒ  t	tdƒ t ttdƒ    ddddÌsJ ‚t tt	tttt  ƒ t tttt  ƒ tƒtt	tttt  ƒ t tt  ddddÌs8J ‚t tt	tttt  ƒ t tttt  ƒ tƒtt	tttt  ƒ t  ttd
ƒttdƒ ttdƒ td
ƒ tttt  ƒtdƒ ƒ tt  ddddÌsˆJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t ttdƒttdƒ ttdƒ td
ƒ tttt  ƒtdƒ ƒ tt  ddddÌsÛJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t  ttdƒttdƒ ttdƒ td
ƒ tttt  ƒtdƒ ƒ tt  ddddÍs/J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t tttt  ƒtdƒ ttdƒ tdƒd    ttdƒd ttdƒ tdƒd  tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tdƒt  ddddÍs¬J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t tttt  ƒtdƒ ttdƒ tdƒd    ttdƒd ttdƒ tdƒd  tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tdƒt  ddddÎs)J ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t  tttt  ƒtdƒ ttdƒ tdƒd    ttdƒd ttdƒ tdƒd  td
ƒd tttt  ƒtdƒ ƒ tttt  ƒ t ddddÎsŸJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t  tttt  ƒtdƒ ttdƒ tdƒd    ttdƒd ttdƒ tdƒd  tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tdƒt  ddddÏsJ ‚t tt	tttt  ƒ t tttt  ƒtdƒ  tƒtt	tttt  ƒ t  tttt  ƒtdƒ ttdƒ tdƒd    ttdƒd ttdƒ tdƒd  tdƒd tttt  ƒtdƒ ƒ tttt  ƒtdƒ  tdƒt  ddddÏs›J ‚t tttttt  ƒ t t	tttt  ƒ t  tƒtttttt  ƒ t t	tttt  ƒ ttd
ƒ   tttt  ƒtdƒ ttdƒ ttdƒ  td
ƒd    tttdƒ td
ƒd  ttdƒ ttdƒ  td
ƒd  ttdƒ tdƒd  tttt  ƒtdƒ ƒ t	t ttd
ƒ   ddddÐs8J ‚t ttttt	t  ƒ t ttt	t  ƒtdƒ  tƒttttt	t  ƒ ttd
ƒ  t	t ttd
ƒ   tdƒtttt	t  ƒ ttdƒ   t	ttdƒ  ttdƒ    tttt	t  ƒ ttdƒ  t	ttdƒ  ttdƒ    ddddÐs¶J ‚t ttttt	t  ƒ t ttt	t  ƒtdƒ  tƒttttt	t  ƒ ttd
ƒ  t	t ttd
ƒ   tttt	t  ƒ ttdƒ  t	ttdƒ  ttdƒ    ddddÑsJ ‚t ttttt	t  ƒ t ttt	t  ƒtdƒ  tƒttttt	t  ƒ ttd
ƒ  t	t ttd
ƒ   ddddÑsPJ ‚t ttttt	t  ƒ t tƒttttt	t  ƒ ttd
ƒ  ttd
ƒttdƒ td
ƒd  ttdƒ tdƒd  ttt	t  ƒtdƒ  ƒ t	t ttd
ƒ   ddddÑsªJ ‚t ttttt	t  ƒ t ttt	t  ƒtdƒ  tƒttttt	t  ƒ ttd
ƒ  ttdƒttdƒ td
ƒd  ttdƒ tdƒd  ttt	t  ƒtdƒ  ƒ t	t ttd
ƒ   ddddÒsJ ‚t ttttt	t  ƒ t ttt	t  ƒtdƒ  tƒttttt	t  ƒ ttd
ƒ  ttdƒttdƒ td
ƒd  ttdƒ tdƒd  ttt	t  ƒtdƒ  ƒ t	t ttd
ƒ   ddddÒsvJ ‚t ttttt	t  ƒ t ttt	t  ƒtdƒ  tƒttttt	t  ƒ ttd
ƒ  ttt	t  ƒtdƒ ttdƒ tdƒ   tttdƒ td
ƒd  ttdƒ tdƒ ttdƒ tdƒd  ttt	t  ƒtdƒ ƒ ttt	t  ƒtdƒ  t	t ttd
ƒ   ddddÓsJ ‚t ttttt	t  ƒ t ttt	t  ƒtdƒ  tƒttttt	t  ƒ ttd
ƒ  ttt	t  ƒtdƒ ttdƒ tdƒ   tttdƒ td
ƒd  ttdƒ tdƒ ttdƒ tdƒd  ttt	t  ƒtdƒ ƒ ttt	t  ƒtdƒ  t	t ttd
ƒ   ddddÓsJ ‚t ttttt	t  ƒ t ttt	t  ƒ tƒttttt	t  ƒ ttd
ƒ  ttt	t  ƒtdƒ ttdƒ td
ƒ   tttdƒ td
ƒd  ttdƒ td
ƒ ttdƒ tdƒd  ttt	t  ƒtdƒ ƒ ttt	t  ƒ t	t ttd
ƒ   ddddÔsJ ‚t ttttt	t  ƒ t ttt	t  ƒ tƒttttt	t  ƒ ttd
ƒ  ttt	t  ƒtdƒ ttdƒ   tttdƒ ttdƒ td
ƒd  ttdƒ tdƒd  ttt	t  ƒtdƒ ƒ ttt	t  ƒ t	t ttd
ƒ   ddddÔs’J ‚t ttttt	t  ƒ t ttt	t  ƒtdƒ  tƒttttt	t  ƒ ttd
ƒ  ttt	t  ƒtdƒ ttdƒ tdƒ   tttdƒ tdƒ ttdƒ td
ƒd  ttdƒ tdƒd  ttt	t  ƒtdƒ ƒ ttt	t  ƒtdƒ  t	t ttd
ƒ   ddddÕsJ ‚t tt	tttt  ƒ t ttttt  ƒ tdƒd   tƒtt	tttt  ƒ t ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd t tdƒ tdƒd  t tdƒ tdƒd  tttt  ƒtdƒ ƒ tt t tdƒd    ddddÖsGt tt	tttt  ƒ t ttttt  ƒ tdƒd   tƒttdƒt t	tttt  ƒ t  t
ttttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttdƒd t tdƒ tdƒd  t tdƒ tdƒd  tttt  ƒtdƒ ƒ tttt  ƒtdƒ  ttdƒ t tdƒ   ddddÖsGJ ‚t tt	tttt  ƒ t t
ttttt  ƒ ƒ tƒttdƒt	tttt  ƒ t  ttttt  ƒ tdƒd   tttt  ƒtdƒ tdƒd   ttdƒd t tdƒ tdƒd  t tdƒ tdƒd  tttt  ƒtdƒ ƒ tt tdƒ t tdƒ   ddddÖs×J ‚t tt	tttt  ƒ t t
ttttt  ƒ ƒ tƒttdƒt	tttt  ƒ t  t
ttttt  ƒ ƒ tttt  ƒtdƒ td
ƒd   ttd
ƒd t tdƒ td
ƒd  t tdƒ tdƒd  tttt  ƒtdƒ ƒ tt tdƒ t td
ƒ   dddd×scJ ‚t tt	tttt  ƒ t ttttt  ƒ tdƒd   tƒttdƒ t	tttt  ƒ t  ttdƒd t tdƒ tdƒd  t tdƒ tdƒd  tttt  ƒtdƒ ƒ tt t
ttttt  ƒ ƒ tdƒt td
ƒ  tttt  ƒtdƒ td
ƒd    dddd×sóJ ‚t tttttt  ƒ t t	tttt  ƒ t  tƒtttttt  ƒ t t	tttt  ƒ ttd
ƒ   tttt  ƒtdƒ ttdƒ td
ƒd    tttdƒ td
ƒd  t tdƒ ttdƒ  td
ƒd  t tdƒ ttdƒ  tdƒd  tttt  ƒtdƒ ƒ t	t t t td
ƒ   ddddØs•J ‚t ttttt  ƒtdƒ  t tttt  ƒ tƒtttdƒd t td
ƒd tttt  ƒtdƒ ƒ tttt  ƒ t ddddØsÝJ ‚d S )(NT)ÚexpandÚ_diffÚ
_numericalr   r   é   é   r   é   é   é   éýÿÿÿéûÿÿÿiùÿÿÿéÿÿÿÿéþÿÿÿéüÿÿÿé   é	   é   é   é   é   é(   é@   é€   é   é   é
   é-   é   é   é   é   é#   é   é   éM   é   é    )r  r  rí  ÚcÚdÚxró  rì  rá  Úbrã  r>   Únr5   rî  rë  ÚpÚarï  r=   ÚPirð  r<   ÚeÚfÚmrö  © r7  r7  úY/tmp/pip-target-vg8gfxp4/lib/python/sympy/integrals/rubi/rubi_tests/tests/test_tangent.pyÚtest_1   sÄ  @Hjj’´´þþ F þþ  þþ  þ´ þ¼ þþ  þþ  þþ F þþ Î þþ œ þ” þ” þþ œ þþ Î ´þ0 Ì‚ˆÎþ. þþ þ ä þþ þ  þþ œ þþ ¤ þþ þ  þþ  þD ª²þD þþ  ÌÀàÐþ
 øÈÖþ þ ŠÔþþ 6 r²òþ^ ì¸þ$ þ| þþ Œ xºúþp þ þ þP ˆºúþ° þh þ þ* þ„ þÜ þþ † þþ  ‚Âþ þ ¸öþ` þþ ¾ þþ D ŠÊþ þZ þ þ þp þþ ¦ þþ \ ŠÊþ þ‚ þ* þ þh þÀ üzþ þ þ þþ þ þ þ þþ T þþþþ 6 þþ t þ þ þþ v ÊÂ`¨îþ þ þþ þ0 þ þ þ  þ@ ÔÔ€¾þ þ$ þ îþ  þ@ þ þþ 4 þþ  þô þÂ þ² þè þþ  þþ 0 þþ d þþ 6 þþ & þò þê þþ  þþ " þþ T þþ 0 þþ  þæ þº þÂ þô þþ  þþ T þþ   þþ  þê þò þþ & þþ 6 þþ d òþúþ þ À€þ´ þþ  þ` þ´þ þf þ
 Èˆþþ  þþ 6 þ´ þl þ þ þR þ’ þ
 Èˆþþ  þþ ^ þþ ® þV þ ´ìþN úºzþþ  þþ „ þÄ þ\ þ þ þ| þÔ þ þt êêêêêêêêêêòòòòòòòòòòþÀ þ( þD Ì¨þB þ þ¦ þŒ þ¼ þ þê þN °þª þ\ þþ @ þš þÂ þ$ þ¼ þV °þº þÎ þ þJ ÌþB üþÀ þD ’þ, þþ  þ° þØ þ\ ²þ< úþ¸ þp þ þ þ þ þ þ þ þ þþþøþ þ þ þ
 è¦` ¦¨úúìüüþ< ü¸|´ÌÌþ þ þ úþ þþ T þ" þ þ" þF ”r9  (7  ÚsysÚsympy.externalr   r   ÚdisabledÚversion_infoÚ%sympy.integrals.rubi.utility_functionr   r   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   r'   r(   r)   r*   r+   r,   r-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   rK   rL   rM   rN   rO   rP   rQ   rR   rS   rT   rU   rV   rW   rX   rY   rZ   r[   r\   r]   r^   r_   r`   ra   rb   rc   rd   re   rf   rg   rh   ri   rj   rk   rl   rm   rn   ro   rp   rq   rr   rs   rt   ru   rv   rw   rx   ry   rz   r{   r|   r}   r~   r   r€   r   r‚   rƒ   r„   r…   r†   r‡   rˆ   r‰   rŠ   r‹   rŒ   r   rŽ   r   r   r‘   r’   r“   r”   r•   r–   r—   r˜   r™   rš   r›   rœ   r   rž   rŸ   r    r¡   r¢   r£   r¤   r¥   r¦   r§   r¨   r©   rª   r«   r¬   r­   r®   r¯   r°   r±   r²   r³   r´   rµ   r¶   r·   r¸   r¹   rº   r»   r¼   r½   r¾   r¿   rÀ   rÁ   rÂ   rÃ   rÄ   rÅ   rÆ   rÇ   rÈ   rÉ   rÊ   rË   rÌ   rÍ   rÎ   rÏ   rÐ   rÑ   rÒ   rÓ   rÔ   rÕ   rÖ   r×   rØ   rÙ   rÚ   rÛ   rÜ   rÝ   rÞ   rß   rà   rá   râ   rã   rä   rå   ræ   rç   rè   ré   rê   rë   rì   rí   rî   rï   rð   rñ   rò   ró   rô   rõ   rö   r÷   rø   rù   rú   rû   rü   rý   rþ   rÿ   r   r  r  r  r  r  r  r  r  r	  r
  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r   r!  r"  r#  r$  r%  r&  r'  r(  r)  r*  r+  r,  r-  r.  r/  r0  r1  r2  r3  r4  r5  r6  r7  r8  r9  r:  r;  r<  r=  r>  r?  r@  rA  rB  rC  rD  rE  rF  rG  rH  rI  rJ  rK  rL  rM  rN  rO  rP  rQ  rR  rS  rT  rU  rV  rW  rX  rY  rZ  r[  r\  r]  r^  r_  r`  ra  rb  rc  rd  re  rf  rg  rh  ri  rj  rk  rl  rm  rn  ro  rp  rq  rr  rs  rt  ru  rv  rw  rx  ry  rz  r{  r|  r}  r~  r  r€  r  r‚  rƒ  r„  r…  r†  r‡  rˆ  r‰  rŠ  r‹  rŒ  r  rŽ  r  r  r‘  r’  r“  r”  r•  r–  r—  r˜  r™  rš  r›  rœ  r  rž  rŸ  r   r¡  r¢  r£  r¤  r¥  r¦  r§  r¨  r©  rª  r«  r¬  r­  r®  r¯  r°  r±  r²  r³  r´  rµ  r¶  r·  r¸  r¹  rº  r»  r¼  r½  r¾  r¿  rÀ  rÁ  rÂ  rÃ  rÄ  rÅ  rÆ  rÇ  rÈ  rÉ  rÊ  rË  rÌ  rÍ  rÎ  rÏ  rÐ  rÑ  rÒ  rÓ  rÔ  rÕ  rÖ  r×  rØ  rÙ  Úsympy.core.addrÚ  Úsympy.core.modrÛ  Úsympy.core.mulrÜ  Úsympy.core.numbersrÝ  rÞ  rß  Úsympy.core.powerrà  Úsympy.core.singletonrá  Ú$sympy.functions.elementary.complexesrâ  Ú(sympy.functions.elementary.miscellaneousrã  Úsympy.integrals.integralsrä  Úsympy.logic.boolalgrå  ræ  Úsympy.simplify.simplifyrç  Úsympy.integrals.rubi.symbolrè  Úsympy.core.symbolré  rê  Úsympy.functionsrë  rì  rí  rî  rï  rð  rñ  rò  ró  Ú%sympy.functions.elementary.hyperbolicrô  rõ  rö  r÷  rø  rù  rú  rû  rü  rý  rþ  rÿ  Ú(sympy.functions.elementary.trigonometricr   r  r  r  r  r  Úsympy.integrals.rubi.rubimainr  r  r3  r2  r/  r,  r-  r4  r5  r6  r0  r.  ÚuÚkr1  ÚrÚsÚtÚiÚjÚAÚBÚCÚgÚhÚyÚzÚqÚvÚwÚFr9  r7  r7  r7  r8  Ú<module>   sN    þþ þ þ þ þ þ þ þ þ à m"Zj:Nb