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m!Z!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z?m@Z@mAZAmBZBmCZCmDZDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZPmQZQmRZRmSZSmTZTmUZUmVZVmWZWmXZXmYZYmZZZm[Z[m\Z\m]Z]m^Z^m_Z_m`Z`maZambZbmcZcmdZdmeZemfZfmgZgmhZhmiZimjZjmkZkmlZlmmZmmnZnmoZompZpmqZqmrZrmsZsmtZtmuZumvZvmwZwmxZxmyZymzZzm{Z{m|Z|m}Z}m~Z~mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmGZGmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmÐZÐmĐZĐmŐZŐmƐZƐmZmǐZǐmȐZȐmɐZɐmʐZʐmːZːm̐Z̐m͐Z͐mΐZΐmϐZϐmАZАmѐZѐmҐZҐmӐZӐmԐZԐmՐZՐm֐Z֐mאZאmؐZؐmِZddlڐmېZdd lܐmݐZdd lސmߐZdd lmZmZmZdd lmZdd lmZddlmZddlmZddlmZddlmZmZddlmZddlmZddlmZmZddlmZmZmZmZmZmZmZmZmZmZddlmZmZmZmZmZm Z m Z m Z m Z m Z mZmZddlmZmZmZmZmZmZddlmZddlmZed\ZZZZZZ Z!Z"Z#Z$Z%Z&Z'Z(Z)Z*Z+ed\Z,Z-Z.ZZZZZZZ Z/Z0Z1Z2Z!Z"Z&Z3Z$Z4Z5Z6ddZ7dS)N) import_modulematchpyT)(sympy_op_factoryIntSumSetWithModuleScanMapAndFalseQZeroQ NegativeQNonzeroQFreeQNFreeQListLog PositiveQPositiveIntegerQNegativeIntegerQIntegerQ IntegersQComplexNumberQPureComplexNumberQ RealNumericQPositiveOrZeroQNegativeOrZeroQFractionOrNegativeQNegQEqualUnequalIntPartFracPart RationalQProductQSumQNonsumQSubstFirstRest SqrtNumberQSqrtNumberSumQLinearQSqrtArcCosh Coefficient DenominatorHypergeometric2F1NotSimplifyFractionalPart IntegerPartAppellF1 EllipticPi EllipticE EllipticFArcTanArcCotArcCothArcTanhArcSinArcSinhArcCosArcCscArcSecArcCschArcSechSinhTanhCoshSechCschCoth LessEqualLessGreater GreaterEqual FractionQ IntLinearcQExpand IndependentQPowerQ IntegerPowerQPositiveIntegerPowerQFractionalPowerQAtomQExpQLogQHeadMemberQTrigQSinQCosQTanQCotQSecQCscQSinCosTanCotSecCsc HyperbolicQSinhQCoshQTanhQCothQSechQCschQ InverseTrigQSinCosQ SinhCoshQ LeafCount NumeratorNumberQNumericQLengthListQImReInverseHyperbolicQInverseFunctionQTrigHyperbolicFreeQInverseFunctionFreeQRealQEqQFractionalPowerFreeQ ComplexFreeQ PolynomialQFactorSquareFreePowerOfLinearQExponent QuadraticQ LinearPairQ BinomialPartsTrinomialPartsPolyQEvenQOddQPerfectSquareQ NiceSqrtAuxQ NiceSqrtQTogetherPosAuxPosQCoefficientList ReplaceAllExpandLinearProductGCD ContentFactor NumericFactorNonnumericFactors MakeAssocList GensymSubst KernelSubstExpandExpressionApart SmartApartMatchQPolynomialQuotientRemainder FreeFactorsNonfreeFactorsRemoveContentAux RemoveContent FreeTerms NonfreeTermsExpandAlgebraicFunctionCollectReciprocals ExpandCleanupAlgebraicFunctionQCoeffLeadTermRemainingTerms LeadFactorRemainingFactorsLeadBase LeadDegreeNumerDenom hypergeomExponMergeMonomialsPolynomialDivide BinomialQ TrinomialQGeneralizedBinomialQGeneralizedTrinomialQFactorSquareFreeListPerfectPowerTestSquareFreeFactorTestRationalFunctionQRationalFunctionFactorsNonrationalFunctionFactorsReverseRationalFunctionExponentsRationalFunctionExpandExpandIntegrandSimplerQ SimplerSqrtQ SumSimplerQBinomialDegreeTrinomialDegreeCancelCommonFactorsSimplerIntegrandQGeneralizedBinomialDegreeGeneralizedBinomialPartsGeneralizedTrinomialDegreeGeneralizedTrinomialParts MonomialQ MonomialSumQMinimumMonomialExponentMonomialExponent LinearMatchQPowerOfLinearMatchQQuadraticMatchQ CubicMatchQBinomialMatchQTrinomialMatchQGeneralizedBinomialMatchQGeneralizedTrinomialMatchQQuotientOfLinearsMatchQPolynomialTermQPolynomialTermsNonpolynomialTermsPseudoBinomialPartsNormalizePseudoBinomialPseudoBinomialPairQPseudoBinomialQ PolynomialGCDPolyGCDAlgebraicFunctionFactorsNonalgebraicFunctionFactorsQuotientOfLinearsPQuotientOfLinearsPartsQuotientOfLinearsQFlattenSort AbsurdNumberQAbsurdNumberFactorsNonabsurdNumberFactorsSumSimplerAuxQPrependDropCombineExponents FactorIntegerFactorAbsurdNumberSubstForInverseFunctionSubstForFractionalPower*SubstForFractionalPowerOfQuotientOfLinears"FractionalPowerOfQuotientOfLinearsSubstForFractionalPowerQSubstForFractionalPowerAuxQFractionalPowerOfSquareQFractionalPowerSubexpressionQApplyFactorNumericGcdMergeableFactorQ MergeFactor MergeFactors TrigSimplifyQ TrigSimplifyTrigSimplifyRecurOrder FactorOrderSmallestOrderedQ MinimumDegreePositiveFactorsSignNonpositiveFactorsPolynomialInAuxQ PolynomialInQ ExponentInAux ExponentInPolynomialInSubstAuxPolynomialInSubstDistribDistributeDegreeFunctionOfPowerDivideDegreesOfFactorsMonomialFactor FullSimplifyFunctionOfLinearSubstFunctionOfLinearNormalizeIntegrandNormalizeIntegrandAuxNormalizeIntegrandFactorNormalizeIntegrandFactorBaseNormalizeTogetherNormalizeLeadTermSignsAbsorbMinusSignNormalizeSumFactors SignOfFactorNormalizePowerOfLinearSimplifyIntegrand SimplifyTermTogetherSimplify SmartSimplify SubstForExpn ExpandToSumUnifySum UnifyTerms UnifyTerm CalculusQFunctionOfInverseLinearPureFunctionOfSinhQPureFunctionOfTanhQPureFunctionOfCoshQIntegerQuotientQ OddQuotientQ EvenQuotientQFindTrigFactorFunctionOfSinhQFunctionOfCoshQOddHyperbolicPowerQFunctionOfTanhQFunctionOfTanhWeightFunctionOfHyperbolicQSmartNumeratorSmartDenominator SubstForAux ActivateTrig ExpandTrig TrigExpand SubstForTrigSubstForHyperbolicInertTrigFreeQLCMSubstForFractionalPowerOfLinearFractionalPowerOfLinearInverseFunctionOfLinear InertTrigQInertReciprocalQDeactivateTrigFixInertTrigFunctionDeactivateTrigAuxPowerOfInertTrigSumQPiecewiseLinearQKnownTrigIntegrandQKnownSineIntegrandQKnownTangentIntegrandQKnownCotangentIntegrandQKnownSecantIntegrandQTryPureTanSubst TryTanhSubstTryPureTanhSubstAbsurdNumberGCDAbsurdNumberGCDListExpandTrigExpandExpandTrigReduceExpandTrigReduceAux NormalizeTrig TrigToExpExpandTrigToExp TrigReduceFunctionOfTrigAlgebraicTrigFunctionQFunctionOfHyperbolic FunctionOfQFunctionOfExpnQPureFunctionOfSinQPureFunctionOfCosQPureFunctionOfTanQPureFunctionOfCotQFunctionOfCosQFunctionOfSinQ OddTrigPowerQFunctionOfTanQFunctionOfTanWeightFunctionOfTrigQFunctionOfDensePolynomialsQ FunctionOfLogPowerVariableExpnPowerVariableDegreePowerVariableSubstEulerIntegrandQFunctionOfSquareRootOfQuadraticSquareRootOfQuadraticSubstDividesEasyDQProductOfLinearPowersQRtNthRoot AtomBaseQSumBaseQ NegSumBaseQ AllNegTermQ SomeNegTermQ TrigSquareQRtAux TrigSquareIntSumIntTermMap2ConstantFactorSameQ ReplacePart CommonFactorsMostMainFactorPositionFunctionOfExponentialQFunctionOfExponentialFunctionOfExponentialFunction FunctionOfExponentialFunctionAuxFunctionOfExponentialTestFunctionOfExponentialTestAuxstdev rubi_testIf IntQuadraticQ IntBinomialQRectifyTangentRectifyCotangent Inequality ConditionSimpSimpHelp SplitProductSplitSumSubstForrGFresnelSFresnelCErfcErfiGammaFunctionOfTrigOfLinearQElementaryFunctionQComplexUnsameQ_SimpFixFactor SimpFixFactor _FixSimplify FixSimplify_SimplifyAntiderivativeSumSimplifyAntiderivativeSum_SimplifyAntiderivativeSimplifyAntiderivative_TrigSimplifyAuxTrigSimplifyAuxCancelPartPolyLogDDistSum_doitPolynomialQuotientFloorPolynomialRemainderFactorr CosIntegral SinIntegral LogIntegral SinhIntegral CoshIntegralRuleErf PolyGamma ExpIntegralEi ExpIntegralELogGammaUtilityOperator FactorialZeta ProductLogDerivativeDividesHypergeometricPFQIntHideOneQ)Add)Mod)Mul)FloatIInteger)Pow)S)Abs)sqrt)Integral)AndOr)simplify)WC)symbolsSymbol) sincostancotcscsecrerfexplog) acoshasinhatanhacothacschasechcoshsinhtanhcothsechcsch)atanacscasinacotacosasec)rubi_integrate)piz!a b c d e f m n x u k p r s t i jz+A B C D a b c d e f g h y z m n p q u v w Fc CsHttttdtttttttdttttdttdttdtdtddtdttdtdttdttdtdtddtdttdtttdttdtdtdttddddd sJttttdtttttttdttttdttdtttdttdtdtd ttdttttdttdtdtd ttdtdttttd ttddddd sJttttdtttttttdttttdttdttdtdtddtd ttdtttdttdtdtdttddddd sgJttttttttttdttttdttttdttdtdtdtttttdttddddd sJttttttttttttttdttdtdtdddd sJttttttttttdttdttttdt ttdttt tdtttttttdtddddd s3Jtttttttdttt t tttdttdtdttttdddd sjJtttttttdttt tttdttdtdtdtttttdttddddd sJtttttttdttttdt tttdttdtdtd ttttdttdtdtd ttdttttdttddddd sJtttttttdttttdtttdttdtdtd tttttdttdtdtdttdttttdttddddd suJtttttttd tttd ttdt tttdttdtdtdtdttdtttdttdtdtdttdttttdttdtdtdttdttttdttddddd sJttttdttttdttttdttttdtdtdttdtdtdttdtttdttdtdttttdttdttdtdttdtdttdtttdttdtdttttdttdtd ttdttdtd tttdttdtdttttdttddddd sJttttdttttdttttdttttdtdttdtd ttdtttdttdtdttttdttdttdtd ttdtdttttdttdtdttttd ttdtdttttdtd ttddddd sJttttdttttdttttdttttdtdtdttdtdtdttdtttdttdtdttttd ttdttd ttdtdtttdttdtdttttd ttddddd s.Jtttttttdttttdttttdtdttdtdttttdttdtdttttdtttttdtdttddddd sJttttttdtttttttdtdttdtttdttdtdttttdddd sJttttttdtttttdttdttttttttdttdttttdt ttdttt tdttttdttttdtddddd sMJttttttdttdtttd tttdtttt tdtttdtttttdttttt ttttttttdtdddd sJttttttdttdttttdt tttttdttdtdttttttttdtdttddddd s Jttttttdttdttttdttdtttt tdttdttdtttttdtdttdtttt tttttdttdtdtttttdttdtdttttdttdttttdtdttddddd sJttttttdttdttttd t ttdttdtttdttdtdttttdtttdtdttdttttdttdtdttttd ttdttttdtdttddddd  sMJttttdttttdttttdttttdtdtd ttdttttdtdttdtttdttdtdttttdtdttdttdttttdttdtdttdtttdttdtdttttdtdttdtd tttttdttdtd ttdttdtdtddtdttdtdttdttdtdtddtdttdtdtttdttdtdttttdtdttdtdtttdttdtdtdttddddd  sJttttdttttdttttdttttdtdtdttdttttd tdttdtttdttdtdttttdtd ttdttdtttdttdtdtdttd ttdttttd ttdtd ttttdttdtdttttdtd ttdtdttttdttdtdtdttdtdttttdtd ttdtdttttdttddddd  sJttttdttttdttttdttttdtdtdttdttttd ttdtttdttdtdttttdtdttdtttttdttdtdttdttdtdtddtdttdtdtttdttdtdttttdtdttdtdtttdttdtdtd ttddddd  sJtttttttdttttdttttdtdtdttdttttdtdttttdttdtdttttdtdttdttttdttdtdtdtttttdtdttdtdttttdttddddd  ssJttttttdtttttttdtd tttttdtttdttdtdttttdttd tttdttdtdtdddd  sJttttttdttttdttdttdtttttttdtdtdttdttdtttttttdtdttdttdttttdt ttdttt tdttttdttttdtddddd syJttttttdttdtttd  tttdtttt ttttd tttdttttttttd tttdtttt td tttdtttttd tttttdt ttttttttdtdddd sJttttttdttdtttdttdttdttdttttdtdttdt ttdttt tdttttdttdttttdtdtdttttdttdtdttttdtdtttttdtdttddddd sJttttttdttdttttdttdtttt tttttdttdtttttttttdttdtttt ttdttdttttttdttttdt ttttttdt tttdttdtdttdttttttttdttdtdttttdtdttdttttdtdttddddd sJttttttdttdttttd ttdttdttttdttdt ttdttt tdtttttdttttdtdttdtttdttdtdttttdtdtttdtttdttdtdtdtttdttttdttdttttdttdtdttttdtdttdttttdtdttddddd sJttttdttttdttttd ttttdtd ttd ttttdtdttd td ttdtttdttdtdttttdtd tttdtttdttdtdttttd!ttdttdttttdtd"ttdtd#ttdtd$ttdtdttdtttdttdtdttttdtd%ttdtd#ttdtttdttdtdttttd&ttdtdttdttttdtd ttdtd'ttdtd(ttdtdttttdttdtdttttdtd)ttdtd'ttttdttdtdttttd*ttdtdttttdtd+ttd td'ttttdtd(ttd dddd sJttttdttttdttttdttttdtdtdttdttttdtdtd)ttdtd,tdttdtttdttdtdttttdtdttd)ttdtttdttdtdttttdttd ttdttttdtdttdtd-ttdtd.ttdtd ttdtttdttdtdttttdtdttdtd-ttdtttdttdtdttttd/ttdtd tttttdtdttdtd0ttd/ttdtd tttdttdtdttttdtdttdtd0tttdttdtdttttd/ttddddd sOJttttdttttdttttdttttdtdtdttdttttdtd tdttdtdttdtttdttdtdttttdtdttdttdtttdttdtdttttd ttd ttdttttdtd ttdtdttdtdttdtdttttdttdtdttttdtdttdtdttttdttdtdttttd1ttdtdttttdtd ttdtdttttdtdttddddd sJttttdttttdttttdttttdtdtdttdttttdtd 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ttdttdtttttddddd +sJttttdttttttttdtttttdtttttd1ttdttttdtttttdttdttdtttttdtttttd1ttdttttdtttttdttdttdtttttdtdtttttd ttddddd +sJttttdttttttttdtttttdtttttd:ttdttttttttd ttdttdtttttdtttttd:ttdttttttttd ttdttdtttttddddd ,shJtttttttttttd tttttdtttttd ttdttdtttttdtttttd ttdttdtttttdtttttdttddddd ,sJttttttttttttttttdtttttttttdttttttdddd -s1Jtttttttttt ttttttdddd -sTJttttdttttddttttd tttttdtttttd;ttdtdttdtttttdtttttd<ttdtdttttttttd1ttdttdtttttdtttttd;ttdtdttdtttttdtttttd<ttdtdttttttttd1ttdttdttttddtdtdttdtttdttdtdtttttd=ttdttdtttdttdtdtttttdttdtdtttdttdtdtttttdttddddd .sJttttdttttddtttdttdtttttdtttttdttdtdttttdtttttd>ttdtdttdtttttdtttttdttdtdttttdtttttd>ttdttdttttddtdtdttdtttdttdtdtttttd ttd ttttdttdtdtttttd1ttdtdttttddtd ttddddd 0s Jttttdttttddttttdtttttdtttttd?ttdtdttttttttd ttdttdtttttdtttttd?ttdtdttttttttd ttdttdttttddtdttdtttdttdtdtttttd ttttdttdtdtttttdttddddd 1s Jtttttttddtttd ttdtttttdtttttdttdtdttdtttttdtttttdttdttdttttddtdtdttttdttdtdtttttdtttttddtdttddddd 1sJttttttddtttdttttttttdttdttttttttdttttttddtdtttdttdtdtttttdtdddd 2s@Jttttttddtttt ttttddttdddd 2skJttttdttttddtttd ttdtttttdtttttd@ttdtdttdtttttdtttttdAttdtdttttttttdttdtdttdtttttdtttttd@ttdtdttdtttttdtttttdAttdtdttttttttdttdttdttttddtdtdttdtttttdBttdtttdttdtdttttddtdCtttdtttttdttdtdttdtttdttdtdttttddtdttdtdttttttdttdtdtttdttdtdttttddtdttddddd 4sFJttttdttttddtttdttdtttttdtttttdDttdtdttttdtttttdEttdtdttdtttttdtttttdDttdtdttttdtttttdEttdttdttttddtdtdttdtttttdtdttdtttdttdtdttttddtd ttdttdtttttdttdtdttttdttdtdttttddtd1ttdtdttttddtd ttdtdtttttd>ttddddd 5sJttttdttttddtttdttdtttttdtttttdFttdtdttttttttd1ttdtdttdtttttdtttttdFttdtdttttttttd1ttdttdttttddtdtdttdtttttd%tdttdtttdttdtdttttddtdttdttttttd ttdtdtttdttdtdttttddtd ttddddd 7s Jtttttttddtttd ttdtttttdtttttdGttdtdttdtttttdtttttdGttdttdttttddtdtdttdtttttd tdttttdttdtdttttddtdtttttddtdttdtdtttttd1ttddddd 7sJttttttddtttdttttttttd ttdttttttttd ttttttddtdttttttdtdtttdttdtdttttddtdtdddd 8sJttttttddtttt ttttddttdddd 8sJttttdttttttttd tttttdtttttd ttdttdtttttdtttttd3ttdttttttttd ttdttdtttttdtttttd ttdttdtttttdtttttd3ttdttttttttd ttddddd 9sJttttdttttttttdtttttdtttttd ttdttttdtttttd ttdttdtttttdtttttd ttdttttdtttttd ttddddd :s)Jttttdttttttttdtttttdtttttd)ttdttttttttdttdttdtttttdtttttd)ttdttttttttdttddddd :sJtttttttttttd tttttdtttttdttdttdtttttdtttttdttddddd ;sJtttdttttttttttttttdtttttttttdtdddd ;sZJtttdtttttttt tdttttttdddd ;sJtttdttdttttttt tdttdtttttdddd ;sJttttdttttddtttdttdtttttdtttttd ttdttdtttttdtttttd ttdttttttttdttdtdttdtttttdtttttd ttdttdtttttdtttttd ttdttttttttdttdtdttdtttdttdtdtttttdddd sFJtttttttddttttdtttttdtttttdttdttdtttttdtttttdttdtdttttdttdtdtttttdddd >sJttttttd6dtttt tttttttttttttttdtttdttdtdtttttdddd ?s#Jtttdtttttddttt tdtttttddtdddd ?sVJttttdttttddtttd ttdtttttdtttttdttdtdttdtttttdtttttd)ttdttttttttdttdtdttdtttttdtttttdttdtdttdtttttdtttttd)ttdttttttttdttdtdttdtdtttttdttdtttdttdtdtdtttttddtd ttdtdttdttttdddd @sJttttdttttddttttdtttttdtttttdttdtdttttdtttttdttdttdtttttdtttttdttdtdttttdtttttdttdtd ttdtdtttttdttdtttdttdtdtdtttttddtdttdttdttttdddd AsJttttdttttddttttdtttttdtttttdttdttttttttd ttdttdtttttdtttttdttdttttttttd ttdtdttdtttttdttdtttdttdtdtdtttttddtdttdttdttttdddd BsJtttttttddtttd ttdtttttdtttttdttdtdttdtttttdtttttdttdtdttdtdtttttdttttdttdtdtdtttttddtdtdttdttttdddd CsVJttttttdHdtttdttttttttdttdttttttttdttdttdtttttdtttdttdtdtdtttttdddddd CsJtttdtttttddttt tdtttttddtdddd Ds Jttttdttttd4dtttd ttdtttttdtttttdttdtdttdtttttdtttttdttdttttttttdIttdtd ttdtttttdtttttdttdtdttdtttttdtttttdttdttttttttdIttdtdttdtdttttddtdttdtttdttdtdtdttttttdttdtttdttdtdtdtttttddtd ttdtdttdttttddtd ttdtttdttdtdtdttdttttdddd EsJttttdttttd4dtttd ttdtttttdtttttdttdtd ttttdtttttdttdtdttdtttttdtttttdttdtd ttttdtttttdttdtd ttdtdttttddtdttdtttdttdtdtdttttttdttdtttdttdtdtdtttttddtdttdtdttdttttddtd ttttdttdtdtdttdttttdddd Gs$Jttttdttttd4dtttd ttdtttttdtttttdttdttttttttdttdtdttdtttttdtttttdttdttttttttdttdtdttdtdttttddtd)ttdtttdttdtdtdttttttdttdtttdttdtdtdtttttddtdttdttdttttddtd tttdttdtdtdttdttttdddd HsyJtttttttd4dtttdttdtttttdtttttdttdtdttdtttttdtttttdttdtdttdtdttttddtd ttttdttdtdtdttttttdttttdttdtdtdtttttddtdtdttdttttdddddd IsgJttttttdJdtttd ttttttttdttdttttttttdttdttdttttddtdtttdttdtdtdttttttdtttdttdtdtdtttttdddddd JsJtttdtttttd4dttt tdtttttd4dtdddd JsEJttttttttdtttd tt tttdttttdtttdttdtdtttdtttdttttdttddddd JsJttttttttdtttd tt tttdttttdtttdttdtdtttdtttdttttdttddddd KsJttttttttdtttdttdtttdtttdttdtddttdtddtttdtdttdtddttd ttdttdtd ttdtdKttd tdttttdttddttdtdttdtdttd ttdtttttdtdttdtttdttttdttddddd KsJtttttttttt tttdttddttdtdttdtdttd ttdttdtdttdtttdtttttddddd LsdJtttttttttt ttttttdddd LsJttttttttdttt ttttttdtdddd LsJttttttttddttt ttttttddtdddd LsJttttttttddttt ttttttddtdddd MsJttttttttttt tttttttdddd Ms7Jttttttttttt tttttttdddd Ms^Jttttttttddttt ttttttddtdddd MsJtttttttttttt ttttttttdddd MsJttttdtttttttdt tdL tttdtdttttd ttdtdt tdLttt t tttdtd ttttttttd ttdtttdttttd ttdttt t tttdttt tttttd ttdtdt tttdtdttttd ttdtdt ttt t tttdtd ttttttttd ttddddd NsJttttdtttttttdt tdL tttdtdttttdttdtdt tdLttt t tttdtd ttttttttdttdtttdttttdttdttt t tttdttt tttttdttddddd OsJttttttttttdt td6tttdtdtttttdtdt td6ttt t tttdtd tttttttttddddd OsJtttttttttttdttt tdtttt t tttdttt tttttdtdddd Ps@Jtttttttttt ttttttdddd PscJttttttttdttt ttttttdtdddd PsJttttdtttttttttt tttttttttttttttd ttdttdtttttttdttttttttttdtttd:ttdttttttttttttttt ttd ttdttdtttttttdttttttttttd tttd:ttdttdtttttttddddd QsJtttttttttttttd tttttttdttttttttttdtttd ttdttdtttttttdttttttttttd tttd ttdttdtttttttdtttttttdttddddd RsIJtttttttttttttttttttttttttttdtttttttttttttttt ttdttttttttdddd RsJttttdttttttddtttd ttttddtttttttttttttd ttdttdttttddtttdttttttttttdtttd?ttdtdttttddttttttttttt ttd ttdttdttttddtttdttttttttttd tttd?ttdtttdtttttttttdttdtdtd tttttttttttdttdtdtdttdttdttttttddtddddd Ts1Jtttttttttddtttd ttdttttddtttdttttttttttdtttdttdtdttdttttddtttdttttttttttd tttdttdtdtttttttttttdttdtdtdtttdttttttddtdttttttddtdttddddd Us5Jttttttttddtttdttttddtttttttttttttdttdttttddttttttttttt ttdttdttttttttttdttdtdtdttttttttdddddd UsJttttdttttttddtttd ttttddtttttttttttttd1ttdtdttdttttddtttdttttttttttdtttdFttdtdttttddttttttttttt ttd1ttdtdttdttttddtttdttttttttttd tttdFttdtdttdttdtttttttd%tdttdttttttttd ttdtdtttdttttttddtttdttdtdtdttdtttttttddtttdttdtdtd ttdttdttttttddtddddd WsJtttttttttddtttd ttdttttddtttdttttttttttdtttdGttdtdttdttttddtttdttttttttttd tttdGttdtdttdttdtttttttd tdttdtttttttd1ttdtdttttttttddtttdttdtdtdtttdttttttddtdttttttddtdttddddd YsJttttttttddtttdttttddtttttttttttttd ttdttttddttttttttttt ttd ttdttdttttttttdtdtttttttddtttdttdtdtdttttttttdddddd YsJttttdtttttttttt tttttttttttttdttttdttdtttttdttttttttttdtttd)ttttdttttttttttttt ttdttttdttdtttttdttttttttttd tttd)ttttddddd ZsJtttttttttttttd tttttdttttttttttdtttdttttdttdtttttdttttttttttd tttdttttddddd [sOJtttdtttttttttttttttttttttttdtttttttttttttttt ttdtttdddd [sJttttdttttttddtttttttttttttttttdttddttdttdtttttdttttttttttdtttdttddttdttttttttttttt ttdttddttdttdtttttdttttttttttd tttdttddttdtdttdtttdttdtdttttttttdddd \sJtttttttttddttttdtttttdttttttttttdtttdttddttdttdtttttdttttttttttd tttdttddttdtdttttdttdtdttttttttdddd ]sJttttttttd6dtttt ttttttttttttttddtttttttttttttt tttddttdtttdttdtdttttttttdddd ^s3Jttttdttttttddtttt tttttttttttttd ttddttdttdtttttdttttttttttdtttdttddttdttttttttttttt ttd ttddttdttdtttttdttttttttttd tttdttddttdtdttdtttdttdtdtdttttttttddtdttdttdtttttttdttdttdttdttttttdddd _sJtttttttttddtttd ttdtttttdttttttttttdtttdttddttdtdttdtttttdttttttttttd tttdttddttdtdttttdttdtdtdttttttttddtdttdtdttdtttttttdtdttdttdttttttdddd `sJttttttttdHdtttdtttttttttttttttdttddttdttttttttttttt ttdttddttdtttdttdtdtdttttttttddtdttdttdttttttdddd asyJttttdttttttd4dtttttttttttttttttdttd4dttdtdttdtttttdttttttttttdtttdttd4dttdttttttttttttt ttdttd4dttdtdttdtttttdttttttttttd tttdttd4dttdtdttdtttdttdtdtdttttttttddtdttdtdttdttttttddtdttdttdttdttttttddtd)ttdtttdttdtdtdttdttttttttd tttdttdtdtdttdttdttttttdddd csaJtttttttttd4dtttdttdtttttdttttttttttdtttdttd4dttdtdttdtttttdttttttttttd 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