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H$xH9PHHT$\$T$Pf.H$xH}L HL$x$xHDH' H5[H;1HT$D$PHT$iHT$H1H-' H53HT$1H}HT$w1pHSHR0\$HT$f(T$ 'fffff.H(Hf.Lf(ztif( $n $f(x $f. ;zH|$f(}t$H=H($H1H $uf( $uKf( $u9f. t-f(H|$t$f(f(H=!zD$1fLd$IH\$I)Ll$Hl$IH(HI@ILHH@HWHH9v_HHHWH9vOHHWH9vBHHWH9v5HHW H9v(HHW H9vHHH9vHHH9wH\$Hl$HLd$Ll$ H([I1ILHIIIIMttI²IMtfIòIMtXHHHtJHƲHHtþt{Ht$8HͿT$f.tED$(H*L$8YXD$(H H5H:賿1zD$_HD$t1HH9f( $_ $fWf.f(+!;fDHHH5f.H\$Hl$HLd$H(H5LD$1IH$JH|$HnH5RHHt H<$HuHHl$H\$Ld$ H(H3H5HHtLHHlH IHHH u HsHV0H}LHHH}uLEHAP01HHHHuHSH1R0bHH~ H5 1xHH^ H5 1XHH> H5/ 18f.ztgÐUHSHH HtH HHHuH[ÐHHtype %.100s doesn't define __trunc__ methodExpected an int as second argument to ldexp.tolerances must be non-negativefactorial() only accepts integral valuesfactorial() argument should not exceed %ldfactorial() not defined for negative valuesmath domain errormath range errorfmodpow(dd)dO:ldexpdd|$dd:isclosehypotOO:gcdintermediate overflow in fsummath.fsum partials-inf + inf in fsum(di)copysignatan2pitaulog2log10logmath__trunc__brel_tolabs_tol__floor____ceil__acosacoshasinasinhatanatanhceildegreeserferfcexpm1fabsfactorialfloorfrexpisfiniteisinfisnanlgammalog1pmodfradianssqrttrunc1[??@@8@^@@@@&AKAAA2A(;L4BuwsBuwB7Bs6Ch0{CZAC Ƶ;(DlYaRwNDx_7a(s(;LXww0uw~Cs+|g!@' @R;{`Zj@?P@X@@뇇BA@LPEAA]v}A{DA*_{ AqqiA?tAA补ApqA&"BA2 BiAWLup#BACQB9RFߑ?cܥL@@ƅoٵy-DT! @??#B ;E@HP?7@i@E@-DT! a@?9@kﴑ[?>@-DT!?!3|@-DT!?iW @-DT!@?ffffff?0>A9B.?;,D l I p p 00H@`PxpHhP8p p0HpX p  0 P p  0 H ` x 0H`p@(P`@pX`  ( 0@ P zRx ,4hADD Q DAA dعDD ^ E \DD ^ E \D T A $N0K E c A 4ع$LйAZP AA $tHAZ` AA D0h A H e E a A H0e E | A H0e E i A  D@ I <H`_ A ,\`AMDP AAA @DD ] H ZpDD ] H ZDD [ H \0zDp4 A $ AZ@ AA 48D0 A TH` A ,t%ENDPAA,AID`EAh~H N A |H V A XLxBEB B(A0A8G 8D0A(B BBBA dD0 A ,&HY0 H 0 A L4BBB B(A0A8Gp~ 8D0A(B BBBD $8qD  A _ E ,,hAHOP AAA \tHPA,nMNP H V A $HS x E { A 4yBAA E AEA _AB4T*ADG`x AAJ R AAA $ V0o A ,0D8\@tHPX`hpx4Ld|@|D wG i'D@"$p5G  U { I G( 1Acc & lo    (!h o`ooo0 ''.'>'N'^'n'~'''''''''((.(>(N(^(n(~((((((((()).)>)N)^)n)~)))))))))**.*>*N*^*n*~******This module is always available. It provides access to the mathematical functions defined by the C standard.acos(x) Return the arc cosine (measured in radians) of x.acosh(x) Return the inverse hyperbolic cosine of x.asin(x) Return the arc sine (measured in radians) of x.asinh(x) Return the inverse hyperbolic sine of x.atan(x) Return the arc tangent (measured in radians) of x.atan2(y, x) Return the arc tangent (measured in radians) of y/x. Unlike atan(y/x), the signs of both x and y are considered.atanh(x) Return the inverse hyperbolic tangent of x.ceil(x) Return the ceiling of x as an Integral. This is the smallest integer >= x.copysign(x, y) Return a float with the magnitude (absolute value) of x but the sign of y. On platforms that support signed zeros, copysign(1.0, -0.0) returns -1.0. cos(x) Return the cosine of x (measured in radians).cosh(x) Return the hyperbolic cosine of x.degrees(x) Convert angle x from radians to degrees.erf(x) Error function at x.erfc(x) Complementary error function at x.exp(x) Return e raised to the power of x.expm1(x) Return exp(x)-1. This function avoids the loss of precision involved in the direct evaluation of exp(x)-1 for small x.fabs(x) Return the absolute value of the float x.factorial(x) -> Integral Find x!. Raise a ValueError if x is negative or non-integral.floor(x) Return the floor of x as an Integral. This is the largest integer <= x.fmod(x, y) Return fmod(x, y), according to platform C. x % y may differ.frexp(x) Return the mantissa and exponent of x, as pair (m, e). m is a float and e is an int, such that x = m * 2.**e. If x is 0, m and e are both 0. Else 0.5 <= abs(m) < 1.0.fsum(iterable) Return an accurate floating point sum of values in the iterable. Assumes IEEE-754 floating point arithmetic.gamma(x) Gamma function at x.gcd(x, y) -> int greatest common divisor of x and yhypot(x, y) Return the Euclidean distance, sqrt(x*x + y*y).isclose(a, b, *, rel_tol=1e-09, abs_tol=0.0) -> bool Determine whether two floating point numbers are close in value. rel_tol maximum difference for being considered "close", relative to the magnitude of the input values abs_tol maximum difference for being considered "close", regardless of the magnitude of the input values Return True if a is close in value to b, and False otherwise. For the values to be considered close, the difference between them must be smaller than at least one of the tolerances. -inf, inf and NaN behave similarly to the IEEE 754 Standard. That is, NaN is not close to anything, even itself. inf and -inf are only close to themselves.isfinite(x) -> bool Return True if x is neither an infinity nor a NaN, and False otherwise.isinf(x) -> bool Return True if x is a positive or negative infinity, and False otherwise.isnan(x) -> bool Return True if x is a NaN (not a number), and False otherwise.ldexp(x, i) Return x * (2**i).lgamma(x) Natural logarithm of absolute value of Gamma function at x.log(x[, base]) Return the logarithm of x to the given base. If the base not specified, returns the natural logarithm (base e) of x.log1p(x) Return the natural logarithm of 1+x (base e). The result is computed in a way which is accurate for x near zero.log10(x) Return the base 10 logarithm of x.log2(x) Return the base 2 logarithm of x.modf(x) Return the fractional and integer parts of x. Both results carry the sign of x and are floats.pow(x, y) Return x**y (x to the power of y).radians(x) Convert angle x from degrees to radians.sin(x) Return the sine of x (measured in radians).sinh(x) Return the hyperbolic sine of x.sqrt(x) Return the square root of x.tan(x) Return the tangent of x (measured in radians).tanh(x) Return the hyperbolic tangent of x.trunc(x:Real) -> Integral Truncates x to the nearest Integral toward 0. Uses the __trunc__ magic method.n n:onnnnnnE nG nE nF@ nF xnC nF@ nD onPe n l nF n/ n00` n 0 n F nF oD o^ og@ m@0 o`[ enT 6o0@ "nP` n; n@: o9 )o@P /oO nM 5o0 nj`