+
    i-                        ^ RI HtHt ^ RIHt ^ RIHt ^ RIHt ^ RI	H
t
 ^ RIHtHt ^ RIHt ^ RIHtHt ^ R	IHt ^ R
IHtHtHtHtHt ^ RIHt ^ RIHtHt ^ RI H!t!H"t" ^ RI#H$t$H%t% ^ RI&H't'H(t( ^ RI)H*t*H+t+ ^ RI,H-t-H.t.H/t/H0t0H1t1H2t2 ^ RI3H4t4 ^ RI5H6t6 ^ RIH7t7H8t8H9t9H:t:H;t;H<t< ^ RI=H>t>H?t? ^ RI@HAtAHBtBHCtCHDtDHEtEHFtFHGtGHHtHHItI ]! R4      tJ]JRJ tK]! R4      tL]! R4      tMR tNR tOR tPR tQR tRR  tSR! tTR" tUR# tVR$ tWR% tX. ERNERNERNR&]O! ERR'4      3NR(]A3NR)^]A,          3NR*]A^,          3NR+]P! ]A]P! ^ER4      4      3NR,]A]N! ^^4      ,          3NR-]F) 3NR.]D]E,          3NR/]D]E,          3NR0]D]E,          3NR1]D]E,           3NR2]N! ]D]E,           ]D) 4      3NR3]7! ]D^,          ]E^,          ,           ]F^,          4      3NR4]O! ]N! ]A]B4      ]C4      3NR5]N! ]O! ]! R64      ]E4      ]O! ]D]! R74      4      4      3NR8]! R94      3NR:]! R94      3NR;]O! ]N! ]A]B4      ]C4      3NR<]O! ]N! ]A]B4      ]C4      3NR=]O! ]N! ]A]B4      ]C4      3NR>]O! ]N! ]A]B4      ]C4      3NR?]O! ]N! ]A]B4      ]C4      3NR@]N! ^^4      3NRA]N! ^ ^4      3NRB]O! ^^4      3NRC]O! ^ ^4      3NRD]O! ^^4      3NRE]7! ]A]B4      3NRF]8! ]A]B4      3NRG]9! ]A]B4      3NRH];! ]A]B4      3NRI]:! ]A]B4      3NRJ]<! ]A]B4      3NRK]:! ]A]B4      3NRL]<! ]A]B4      3NRM](! ]A4      3NRN]'! ]A4      3NRO]>! R(4      3NRP]?! R(4      3NRQ]1! ]L4      3NRR]1! ]L4      3NRS]-! ]D4      3NRT]O! ]1! ]D4      ].! ]E4      4      3NRU]1! ].! ]L4      4      3NRV]1! ].! ]L4      4      3NRW]D]E,          3NRX]D]E,          3NRY]D]E,          3NRZ]P! ^ER4      3NR[]O! ]P! ^ER4      ]B4      3NR\]O! ]P! ^ER4      ^"4      3NR]]O! ^]P! ^ER4      4      3NR^]O! ]1! ]A4      ]P! ^ER4      4      3NR_]O! ]D]E,           ]P! ]FER4      4      3NR`]O! ^]P! ^ER4      4      3NRa]/! ]A4      ]0! ]B4      ,          3NRb]6! ]D]A^RcRd7      3NRe]6! ]D]A^RcRd7      3NRf]6! ]D]A^RcRd7      3NRg]6! ]D]A^RcRd7      3NRh]6! ]D]A^RcRd7      3NRi]6! ]D]A^RjRd7      3NRk]6! ]D]A^RlRd7      3NRm]6! ]D]A^RjRd7      3NRn]6! ]D]A^RlRd7      3NRo]3NRp]6! ]P! ]AER4      ]A]4      3NRq]! ]A]A4      3NRr]! ]A]G4      3NRs]M! ]A4      3NRt]M! ]A]B4      3NRu]M! ]A]B]C4      3NRv]! Rw4      ! ]A4      3NRx]! Ry4      ! ]A]B,           4      3NRz]! ]M! ]A4      ]A4      3NR{]! ]! R4      ! ]A4      ]A4      3NRF]! ]A]B4      3NR|]S! ]A4      3NR}]S! ]!! ]A4      4      3NR~]S! ]A4      ]S! ]B4      ,          3NR]S! ]S! ]A4      ]S! ]B4      ,          4      3NR]! R4      ]S! ]A]B,          4      ,          3NR]4! ]A]A4      3NR]4! ]A]L4      3NR]4! ]A^,          ]B,
          ]A4      3NR]4! ]N! ]A]D4      ]A4      3NR]4! ^]D4      3NR]4! ^]A^ ^34      3NR]4! ]A]A^ ^34      3NR]4! ]A]A]D]E34      3NR]4! ]A]A]D]E34      3NR]4! ]A]A]D]E34      3NR]4! ]A]A]D]E34      3NR]4! ]A]A]D]E34      3NR]4! ]A]A]D]E34      3NR]4! ]M! ]C4      ]C]M! ]D4      ]M! ]E4      34      3NR]4! ]N! ]A]D4      ]A4      3NR]4! ]N! ]N! ]D]E4      ]F4      ]A4      3NR]4! ]! ]CER4      ]C4      3NR]4! ^]! ]CER4      ,          ]C4      3NR]4! ]! ]AER4      ]A4      3NR]4! ]N! ]P! ]DER4      ]! ]EER4      4      ]A4      3NR]4! ^]P! ]LER4      ,          ]L4      3NR]4! ]N! ]P! ]AER4      ^4      ]A4      3NR]! R4      3NR]! R4      3NR]! R4      3NR]! R4      3NR]! R4      3NR]! R4      3NR]! R4      ! ]! R4      ]! R4      4      3NR]T! ]A4      3NR]T! ^d4      3NR]T! ]L4      3NR]T! ]N! ]A^4      4      3NR]T! ]T! ]A4      4      3NR]T! ]T! ]T! ]A4      4      4      3NR]O! ]T! ^4      ]T! ^4      4      3NR]+! ]A4      3NR]+! ]N! ]A]E4      4      3NR]*! ]1! ]A4      ^4      3NR]*! ]1! ]A4      ]B4      3NR]*! ]1! ]A4      ]L4      3NR]Q! ]O! ^]P! ^ER4      4      4      3NR]R! ]C4      3NR]R! ]R! ]C4      4      3NR]R! ]N! ]A]B4      4      3NR]R! ]A4      ]R! ]B4      ,           3NRG]! ]A]B4      3NRI]! ]A]B4      3NRH]! ]A]B4      3NRJ]! ]A]B4      3NR]! R(4      3NR]! R4      3NR]! R4      3NR]! R4      3NR]! ]F]H^^34      3NR]! ]F]H^^34      3NR]! ]F]H^^34      3NR]! ]F]H^^34      3NR]! ]H^,          ]H^^
34      3NR]! ]P! ]T! ]I4      ER4      ]I^ ]34      3NR]! ]A]D]E]F34      3NR]! ]A]D]E]F34      3NR]! ]A]D]E]F34      3NR]! ]A]D]E]F34      3NR]U! ]A4      3NR]U! ]A4      3NR]V! ]A^
4      3NR]V! ]A]4      3NR]V! ]A]B,          ]4      3NR]V! ]A]4      3NR]V! ]A]B,          ]4      3NR]V! ]A^4      3NR]V! ]A]D4      3NR]V! ]A^4      3NR]V! ]A]P! ]D^4      4      3NR]A3NR]N! ]D]E4      3NR]! ]2! ]A4      ]A4      3NR]W! ]I]H4      3NR]W! ]I]H4      3NR]W! ]I]H4      3NR]W! ]I^ 4      3NR]P! ]A]W! ]I]H4      4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]O! ]D]E4      3NR]4! ]A]A4      3NR]V! ]A^4      3NR]V! ]A]D4      3NR]N! ]P! ^^ 4      ]O! ER]P! ^^ 4      4      4      3NR]N! ]O! ^]A4      ER4      3NtYR tZ. RNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRlNER NERNERNERNERNERNERNERNERNER	NER
NERNERNERNt[ER t\. EROt]]ER 4       t^ER t_R# (      )raisesXFAIL)import_module)Product)SumAdd)
DerivativeFunctionMul)EooPow)GreaterThanLessThanStrictGreaterThanStrictLessThan
Unequality)Symbol)binomial	factorial)Abs	conjugate)explog)ceilingfloor)rootsqrt)asincoscscsecsintan)Integral)Limit)EqNeLtLeGtGe)BraKet)	xyzabctknantlr4Nthetafc                     \        WR R7      # F)evaluater   r5   r6   s   &&\/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/parsing/tests/test_latex.py_AddrC   #       qe$$    c                     \        WR R7      # r?   r   rA   s   &&rB   _MulrG   '   rD   rE   c                     \        WR R7      # r?   r   rA   s   &&rB   _PowrI   +   rD   rE   c                     \        V R R7      # r?   )r!   r5   s   &rB   _SqrtrL   /   s    E""rE   c                     \        V R R7      # r?   )r   rK   s   &rB   
_ConjugaterN   3       Q''rE   c                     \        V R R7      # r?   )r   rK   s   &rB   _AbsrQ   7       q5!!rE   c                     \        V R R7      # r?   )r   rK   s   &rB   
_factorialrT   ;   rO   rE   c                     \        V R R7      # r?   )r   rK   s   &rB   _exprV   ?   rR   rE   c                     \        WR R7      # r?   )r   rA   s   &&rB   _logrX   C   rD   rE   c                     \        WR R7      # r?   )r   )r:   r9   s   &&rB   	_binomialrZ   G   s    A5))rE   c                       ^ RI Hp HpHp ? ??R# )r   build_parsercheck_antlr_versiondir_latex_antlrN)&sympy.parsing.latex._build_latex_antlrr]   r^   r_   r\   s      rB   test_importra   K   s      	)?rE   z(-7.13)(1.5)g      ?r2   2xzx^2zx^\frac{1}{2}z	x^{3 + 1}z-cz	a \cdot bza / bza \div bza + bz	a + b - aza^2 + b^2 = c^2z	(x + y) zza'b+ab'za'zb'zy''_1zy_{1}''zy_1''z\left(x + y\right) zz\left( x + y\right ) zz\left(  x + y\right ) zz\left[x + y\right] zz\left\{x + y\right\} zz1+1z0+1z1*2z0*1z1 \times 2 zx = yzx \neq yzx < yzx > yzx \leq yzx \geq yzx \le yzx \ge yz\lfloor x \rfloorz\lceil x \rceilz\langle x |z| x \ranglez\sin \thetaz\sin(\theta)z\sin^{-1} az\sin a \cos bz\sin \cos \thetaz\sin(\cos \theta)z\frac{a}{b}z\dfrac{a}{b}z\tfrac{a}{b}z\frac12z\frac12yz	\frac1234z	\frac2{3}z\frac{\sin{x}}2z\frac{a + b}{c}z\frac{7}{3}z(\csc x)(\sec y)z\lim_{x \to 3} az+-)dirz\lim_{x \rightarrow 3} az\lim_{x \Rightarrow 3} az\lim_{x \longrightarrow 3} az\lim_{x \Longrightarrow 3} az\lim_{x \to 3^{+}} a+z\lim_{x \to 3^{-}} a-z\lim_{x \to 3^+} az\lim_{x \to 3^-} az\inftyz\lim_{x \to \infty} \frac{1}{x}z\frac{d}{dx} xz\frac{d}{dt} xzf(x)zf(x, y)z
f(x, y, z)zf'_1(x)zf_{1}'zf_{1}''(x+y)zf_{1}''z\frac{d f(x)}{dx}z\frac{d\theta(x)}{dx}z|x|z||x||z|x||y|z||x||y||z
\pi^{|xy|}piz	\int x dxz\int x d\thetaz\int (x^2 - y)dxz\int x + a dxz\int daz\int_0^7 dxz\int\limits_{0}^{1} x dxz\int_a^b x dxz\int^b_a x dxz\int_{a}^b x dxz\int^{b}_a x dxz\int_{a}^{b} x dxz\int^{b}_{a} x dxz\int_{f(a)}^{f(b)} f(z) dzz
\int (x+a)z\int a + b + c dxz\int \frac{dz}{z}z\int \frac{3 dz}{z}z\int \frac{1}{x} dxz!\int \frac{1}{a} + \frac{1}{b} dxz#\int \frac{3 \cdot d\theta}{\theta}z\int \frac{1}{x} + 1 dxx_0zx_{0}zx_{1}x_azx_{a}zx_{b}zh_\thetaz	h_{theta}z
h_{\theta}zh_{\theta}(x_0, x_1)zx!z100!z\theta!z(x + 1)!z(x!)!zx!!!z5!7!z\sqrt{x}z\sqrt{x + b}z\sqrt[3]{\sin x}z\sqrt[y]{\sin x}z\sqrt[\theta]{\sin x}z\sqrt{\frac{12}{6}}z\overline{z}z\overline{\overline{z}}z\overline{x + y}z\overline{x} + \overline{y}z
\mathit{x}z\mathit{test}testz\mathit{TEST}TESTz\mathit{HELLO world}zHELLO worldz\sum_{k = 1}^{3} cz\sum_{k = 1}^3 cz\sum^{3}_{k = 1} cz\sum^3_{k = 1} cz\sum_{k = 1}^{10} k^2z"\sum_{n = 0}^{\infty} \frac{1}{n!}z\prod_{a = b}^{c} xz\prod_{a = b}^c xz\prod^{c}_{a = b} xz\prod^c_{a = b} xz\exp xz\exp(x)z\lg xz\ln xz\ln xyz\log xz\log xyz
\log_{2} xz
\log_{a} xz\log_{11} xz\log_{a^2} xz[x]z[a + b]z\frac{d}{dx} [ \tan x ]z\binom{n}{k}z\tbinom{n}{k}z\dbinom{n}{k}z\binom{n}{0}zx^\binom{n}{k}za \, bza \thinspace bza \: bza \medspace bza \; bza \thickspace bz	a \quad bz
a \qquad bza \! bza \negthinspace bza \negmedspace bza \negthickspace bz\int x \, dxz\log_2 xz\log_a xz	5^0 - 4^0z3x - 1c                  X    ^ RI Hp  \         F  w  rV ! V4      V8X  d   K  Q V4       h	  R# )r   )parse_latexN)sympy.parsing.latexrl   
GOOD_PAIRS)rl   	latex_str
sympy_exprs      rB   test_parseablerq     s*    /!+	9%3>Y>3 ",rE   ()z\frac{d}{dx}z(\frac{d}{dx})z\sqrt{}z\sqrtz\overline{}z	\overline{}z\mathit{x + y}z\mathit{21}z
\frac{2}{}z
\frac{}{2}z\int!z!0_^|z||x|z()z"((((((((((((((((()))))))))))))))))z\frac{d}{dx} + \frac{d}{dt}zf(x,,y)zf(x,y,z\sin^xz\cos^2@#$%&*\~z\frac{(2 + x}{1 - x)}c                      ^ RI Hp Hp \         F'  p\	        V4      ;_uu_ 4        V ! V4       RRR4       K)  	  R#   + '       g   i     K>  ; ir   rl   LaTeXParsingErrorN)rm   rl   r   BAD_STRINGSr   rl   r   ro   s      rB   test_not_parseabler   F  s5    B 	%&&	" '& !&&&	   	<Ac                      ^ RI Hp Hp \         F'  p\	        V4      ;_uu_ 4        V ! V4       RRR4       K)  	  R#   + '       g   i     K>  ; ir   rm   rl   r   FAILING_BAD_STRINGSr   r   s      rB   test_failing_not_parseabler   Z  s5    B(	%&&	" '& )&&&r   c                      ^ RI Hp Hp \         F)  p\	        V4      ;_uu_ 4        V ! VRR7       RRR4       K+  	  R#   + '       g   i     K@  ; i)r   r   T)strictNr   r   s      rB   test_strict_moder   b  s7    B(	%&&	$/ '& )&&&s	   >A)0r   )1   )z-3.14gQ	gQ)
z\cos 1 \coszf(,zf()za \div \div bza \cdot \cdot bza // bza +z1.1.1z1 +za / b /)`sympy.testing.pytestr   r   sympy.externalr   sympy.concrete.productsr   sympy.concrete.summationsr   sympy.core.addr	   sympy.core.functionr
   r   sympy.core.mulr   sympy.core.numbersr   r   sympy.core.powerr   sympy.core.relationalr   r   r   r   r   sympy.core.symbolr   (sympy.functions.combinatorial.factorialsr   r   $sympy.functions.elementary.complexesr   r   &sympy.functions.elementary.exponentialr   r   #sympy.functions.elementary.integersr   r   (sympy.functions.elementary.miscellaneousr    r!   (sympy.functions.elementary.trigonometricr"   r#   r$   r%   r&   r'   sympy.integrals.integralsr(   sympy.series.limitsr)   r*   r+   r,   r-   r.   r/   sympy.physics.quantum.stater0   r1   	sympy.abcr2   r3   r4   r5   r6   r7   r8   r9   r:   r;   disabledr<   r=   rC   rG   rI   rL   rN   rQ   rT   rV   rX   rZ   ra   rn   rq   r   r   r   r   r    rE   rB   <module>r      s   . ( + )  6  &   h h $ J A = @ A T T . % 8 8 0 / / /	x	  T>wSM%%%#("("%*;~~~ ~ d5#&'	~
 
1I~ AaCL~ QTN~ tAtAr{+,~ 1d1aj=!~ QBK~ 1q5~ q1u~ !a%~ q1u~ 4!aR=!~  AqD1a4KA./!~" 4Q
A&'#~$ d6$<+T!VD\-BCD%~& vi !'~( vi !)~* d41:q12+~, T!QZ 34-~.  d1aj!!45/~0 d41:q121~2 T!QZ 343~4 T!QZ5~6 T!QZ7~8 T!QZ9~: T!QZ;~< T!QZ =~> r!Qx?~@ "Q(A~B r!QxC~D r!QxE~F "Q(G~H "Q(I~J AqK~L AqM~N 58$O~P $Q~R SXS~T SXU~V SZ W~X c%j!Y~Z T!W[~\ tCFCF+,]~^ #c%j/*_~` 3s5z?+a~b QUc~d a!ee~f a!eg~h ai~j $tAr{A&'k~l 4QR()m~n 442;'(o~p c!fd1bk23q~r a!eT!R[12s~t T!T!R[)*u~v #a&Q-(w~x %1aT23y~z !%1aT":;{~| !%1aT":;}~~ %eAq!&>?~@ %eAq!&>?A~B eAq!56C~D eAq!56E~F E!Qs34G~H E!Qs34I~J OK~L (tAr{Ar)BCM~N 
1a()O~P 
1a()Q~R adOS~T 1aU~V AaAJW~X (#A&'Y~Z hy)!A#./[~\ :adA./]~^ z(7*;A*>BC_~` *Q"#a~b T!Wc~d tCF|e~f QQ g~h $tAwtAw'(i~j F4L$qs)+,k~l 8Aq>"m~n E*+o~p (1a4!8Q/0q~r xQ
A./s~t !Q u~v Xa!Q+,w~x !(1q!Qi"89y~z xAq!9-.{~| xAq!9-.}~~ !aAY/0~@ !aAY/0A~B 8A1ay12C~D 8A1ay12E~F #HQqTAqtQqT?$CDG~H HT!QZ+,I~J 8DaQ$7;<K~L 8C2J23M~N XaAr
lA67O~P Xc!Rj!45Q~R *d42;Ar
+Q/1S~V ,aUB')W~Z  $tAr{A*>!BC[~\ VG_]~^ vg_~` VG_a~b vgc~d &%&e~f F;'(g~h k6'?F7O<>i~l JqMm~n joo~p E"#q~r *T!QZ()s~t z*Q-()u~v jJqM234w~x d:a=*Q-01y~z $q'{~| d41:&'}~~ $s1vq/*~@ $s1vq/*A~B tCFE23C~D U4DBK#89:E~F jm$G~H  JqM!:;I~J *T!QZ01K~L $Z]Z]%BCM~N ~a#$O~P (1a.!Q~R  A&'S~T +a#$U~V F3K W~X vf~&Y~Z vf~&[~\ f]34]~^ CAq!9-._~` #a!Q+,a~b CAq!9-.c~d #a!Q+,e~f s1a4!Q45g~h +jmR	 1a*-/i~l WQAq	23m~n 71q!Qi01o~p WQAq	23q~r 71q!Qi01s~t Qu~v aw~x tAr{y~z tAqz{~| QqS!}~~ Q
~@ ac1A~B DAJC~D DAJE~F T!R[!G~H d1d1aj)*I~J QKK~L aM~N  CFA!67O~P i1o&Q~R yA'S~T yA'U~V i1o&W~X Q	!Q01Y~Z Q
[~\ Q
#]~^ Q
_~` tAqz"a~b Q
c~d a$e~f 41:g~h DAJi~j Q
k~l 41:&m~n $q!*%o~p DAJ'q~r hq!n%s~t $q!*u~v $q!*w~x 4Q
DT!QZ$89:y~z T!QZ$%{~
B?''' ' 	'
 ' ' ' ' 	' 	' ' ' ' ' '  	!'" 
#'$ 	%'& 	''( 	)'* +', 
-'. */'0 	1'2 #3'4 5'6 7'8 9': ;'< 	='> 	?'@ 	A'B 	C'D 	E'F 	G'H I'J 	K'L M'R#  # #0rE   