
     hvo                         d dl Z d dlZd dlmZ d dlZd dl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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$Z$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@mAZAmBZBmCZCmDZDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZPmQZQmRZRmSZSmTZTmUZUmVZVmWZW d dlXmYZY d dlZm[Z[  ej\        e j]        ^                    e j]        _                    e`          dd                    Za ej\        e j]        ^                    e j]        _                    e`          dd                    Zb ej\        e j]        ^                    e j]        _                    e`          dd	                    Zcd
 Zdd Zed Zfd Zgd Zhd Zid Zjd Zkd Zld Zmd Znd Zod Zpd Zqd Zrd Zsd Ztd Zud Zvd Zwd Zxd Zyd  Zzd! Z{d" Z|d# Z}d$ Z~d% Zd& Zd' Zd( Zd) Zd* Zd+ Zd, Zd- Zd. Zd/ Zd0 Zd1 Zd2 Zd3 Zd4 Zd5 Zd6 Zd7 Zd8 Zg  edemd9d:d;d<=           edend>d?d@d<=           edendAd?d@dB=           edeqd>d?d@dCdDE           edeqdAd?d@dBdDE           edeod>d?d@dCdDE           edeodAd?d@dFdDE           edeyd>d?d@dG=           edeydAd?d@dH=           edezd>d?d@dI=           edezdAd?d@dH=           edepd>d?d;dIdDE           edepdAd?d;dJdDE           ederd>d?d;dIdDE           ederdAd?d;dJdDE           ede(dKd?d@dL=           ede(dKd?d@dL=           ede(dMd?d@dN=           ede)dOd:dPdQ=           ede)dRd:dPdN=           ede)dSd:dPdI=           ede)dTd:dPdU=           ede*dVd:d;dW=           ede?dOd:dPdQ=           ede?dRd:dPdX=           ede?dSd:dPdI=           ede?dTd:dPdU=           ede@dVd:d;dW=           ededVd:dYdZ=           edeAd[d\d;d]=           eded[d\dYd]=           edeBd[d^dPd]=           eded[d^d_d]=           eded`d?d@dL=           ededad?d@dN=           ede>dbd\d;d]=           ededbd\dYd]=           edeHdcd\d;dd=           ededcd\dYdd=           edeIdedfd@dg=           edededfd;dd=           ededhdid            ede'djd di           ede'djdkdi           ede'dld didH=           ede'dldkdidL=           ede'dmd didn=           ede'dmdkdidn=           ede'dod didn=           ede'dodkdidp=           edegdqd di           edehdrd?d@dp=           edeidsd di           edejdtd?d@dp=           ede7dud di           ede7dudkdidL=           ede8dud d@dQ=           ede7dvd di           ede7dvdkdi           ede8dvd d@dw=           ede7dxd di           ede7dxdkdidL=           ede8dxd d@           ede9dyd di           ede:dzd di           ede:d{d did| }           ede;d~did@dL=           ede;d~dd@d]=           ede<dd didL=           ede<dd didL=           ede<dd di           ede=dd?d@           ede=dd?d@dp=           ede!dd di           ede!dd di           ede!dd di           ede!dd di           ede!dd did=           ede!dd didw=           ede!ddkdid=           ede!ddkdid=           ede!ddkdid=           ede!ddkdid=           ede!ddkdid=           ede!ddkdidH=           ede"dd d@d=           ede"dd d@d=           ede"dd d@d=           ede"dd d@d=           ede"dd d@d=           ede"dd d@           ede#dd?dPd=           ede#dd?dPdH=           ede#dd?dPdH=           ede#dd?dPd=           ededd?dPdL=           ededd?dPdH=           ededd?dPdH=           ededd?dPd=           ede$dd?d;dL=           ede$dd?d;dH=           ede$dd?d;dw=           ede$dd?d;d<=           ededd?d;dL=           ededd?d;dH=           ededd?d;dw=           ededd?d;d<=           ededdfd@d]=           ededdfd;d]=           ededd?d@dH=           ededd?d@           ededd?d@           ededd?d;dH=           ededd?d;           ededd?d;           ede{dd?d@dI=           ede|dd?d@d=           ede}dd?d@d           ede~dd:d;dH=           ededd:d;d           ededd di           ededd d@           ededd?d@d=           ededdd@dd           ededd?d@d=           ededdd@d=           ededd?d@d=           ededdd@dd           ededd?d@d=           ededdd@d=           ededd?d@d=           ededdd@d=           ededd?d@d=           ededdd@d=           ededd?d@d=           ededdd@d=           ededd?d@dL=           ededdd@dL=           ededd?d@d<=           ededdd@d<=           ededd?d@d=           ededd?d@d=           ededdd@d=           ededd?d@d=           ededdd@d=           ede dd?d@d=           ede ddd@d=           ede dd?d@d=           ede ddd@d=           ededd?d@d=           ededd?d@d=           ededd?d@d=           ededdd@d=           ededd?d@d=           ededdd@d=           ededd?d@dd=           ededdd@dd=           edeldd did }           edeldd did }           edeldd did }           edeldd did }           ede%dd?d@d<=           ede%dd?d@dp=           ede%dd?d@d<=           ede&dd?d;d=           ede&dd?d;dp=           ede&dd?d;dp=           ededd?d@dFdĬŦ           ededd?d@dƬ=           ededd?d@           ededd?d@dǬ           ededd?d;dQ=           ededd?d;           edeCdd\d;dɬ=           edeCdd\d;dd̬Ŧ           ededddddЄ dф d҄ dӄ fԦ           ededd?d@dL=           ededd?d@d׬=           edeJdd?d@dC=           edeJdd?d@dڬ=           ede2dd?d@dܬ=           ede3dd:d;dܬ=           ede3dd:d;dܬ=           ede3dd:d;dܬ=           ede3dd:d;dܬ=           ede3dd:d;d=           ede3dd:d;d=           ede4dd:d;dܬ=           ede4dd:d;dܬ=           ede4dd:d;dܬ=           ede4dd:d;dܬ=           ede4dd:d;dܬ=           ede5dd:d;d=           ede5dd:d;d=           ede5dd:d;d=           ede5dd:d;dܬ=           ede5dd:d;dܬ=           ede6dddYddd f          Zej                            dee          d             Z eeeKdd?d@dLdL           eeeLdd?d;dLdL           eeesdd:d;ddL           eeetdd:dYddL           eeeudd:d;ddL           eeevdd:dYddL           eeewdd:dPddL           eeexdd:d_ddL          gZej                            dee          d             Z efe0dd?d@           efe/dd di           efe-d d?d@           efedd?ddp=           efedd?ddp=           efe#dd?d@d=           efe$dd?d@d<=           efeTddd_ddL           efeSdddPddL           efeWdd:d;d<=          g
Zej                            dee          d             Zej        fd	ZdS (
      N)suppress_warnings)Qlpnlpmnlpmvlqnlqmnsph_harmeval_legendreeval_hermiteeval_laguerreeval_genlaguerrebinomcbrtexpm1log1pzetajnjvjvpynyvyvpivivpknkvkvpgammagammalngammainc	gammainccgammaincinvgammainccinvdigammabetabetainc
betaincinvpochellipe	ellipeincellipkellipkm1	ellipkincellipjelliprcelliprdelliprfelliprgelliprjerferfcerfinverfcinvexp1expiexpnbdtrikbtdtrbtdtribtdtriabtdtribchndtrgdtrgdtrcgdtrixgdtribnbdtrikpdtrikowens_t	mathieu_a	mathieu_bmathieu_cemmathieu_semmathieu_modcem1mathieu_modsem1mathieu_modcem2mathieu_modsem2
ellip_harmellip_harm_2spherical_jnspherical_ynwright_bessel)IntegrationWarning)FuncDatadataz	boost.npzzgsl.npzz	local.npzc                 f    |                     d|           t          | t          |         g|R i |S Ndataname)
setdefaultrV   DATASETS_BOOSTfuncrZ   akws       Y/var/www/html/Sam_Eipo/venv/lib/python3.11/site-packages/scipy/special/tests/test_data.pyrW   rW   $   ;    MM*h'''D.2=Q==="===    c                 f    |                     d|           t          | t          |         g|R i |S rY   )r[   rV   DATASETS_GSLr]   s       ra   data_gslrf   )   s;    MM*h'''D,x0;1;;;;;;rc   c                 f    |                     d|           t          | t          |         g|R i |S rY   )r[   rV   DATASETS_LOCALr]   s       ra   
data_localri   .   rb   rc   c                 &    t          | | z            S N)r+   ks    ra   ellipk_rn   3       !A#;;rc   c                 (    t          | ||z            S rk   )r-   frm   s     ra   
ellipkinc_rs   7       Q!rc   c                 &    t          | | z            S rk   )r)   rl   s    ra   ellipe_rv   ;   ro   rc   c                 (    t          | ||z            S rk   )r*   rq   s     ra   
ellipeinc_rx   ?   rt   rc   c                 &    t          | | z            S rk   )r.   rl   s    ra   ellipj_rz   C   ro   rc   c                 "    t          | d          S N      ?)r   )xs    ra   zeta_r   G   s    2;;rc   c                 T    t          ||                     t                    |          S rk   )r   astypeint)numur~   s      ra   assoc_legendre_p_boost_r   K   s    BIIcNNA&&&rc   c                 $    t          d| |          S Nr   )r   )r   r~   s     ra   legendre_p_via_assoc_r   O   s    2q>>rc   c                 `    t          |                     d          |          d         d         S Nlr   )r   r   nr~   s     ra   lpn_r   R   &    qxx}}a  #B''rc   c                 `    t          |                     d          |          d         d         S r   )r   r   r   s     ra   lqn_r   U   r   rc   c                 <    t          d| |          d         d         S Nr   )r   r   )r   r   s     ra   legendre_p_via_lpmnr   X       1a==D!!rc   c                 <    t          d| |          d         d         S r   )r   r   s     ra   legendre_q_via_lqmnr   [   r   rc   c                 P    t          | ||dz  t          j        z            d         S N   r   )rJ   nppimqr~   s      ra   mathieu_ce_radr   ^   #    q!QsU25[))!,,rc   c                 P    t          | ||dz  t          j        z            d         S r   )rK   r   r   r   s      ra   mathieu_se_radr   b   r   rc   c                 t    t          | ||          d         t          j        t          j        dz            z  S Nr      )rL   r   sqrtr   r   s      ra   mathieu_mc1_scaledr   f   s0     1a##A&q)9)999rc   c                 t    t          | ||          d         t          j        t          j        dz            z  S r   )rM   r   r   r   r   s      ra   mathieu_ms1_scaledr   l   .    1a##A&q)9)999rc   c                 t    t          | ||          d         t          j        t          j        dz            z  S r   )rN   r   r   r   r   s      ra   mathieu_mc2_scaledr   p   r   rc   c                 t    t          | ||          d         t          j        t          j        dz            z  S r   )rO   r   r   r   r   s      ra   mathieu_ms2_scaledr   t   r   rc   c                 H    t          |                     d          |          S Nr   r
   r   r   s     ra   eval_legendre_ldr   w       #***rc   c                 H    t          |                     d          |          S Ndr   r   s     ra   eval_legendre_ddr   z   r   rc   c                 H    t          |                     d          |          S r   )r   r   r   s     ra   eval_hermite_ldr   }       q)))rc   c                 H    t          |                     d          |          S r   r   r   r   s     ra   eval_laguerre_ldr      r   rc   c                 H    t          |                     d          |          S r   r   r   s     ra   eval_laguerre_ddr      r   rc   c                 J    t          |                     d          ||          S r   r   r   r   r_   r~   s      ra   eval_genlaguerre_lddr          AHHSMM1a000rc   c                 J    t          |                     d          ||          S r   r   r   s      ra   eval_genlaguerre_dddr      r   rc   c                 *    t          d| z
  ||          S N   )r;   yr   ps      ra   bdtrik_compr      s    !A#q!rc   c                 *    t          | |d|z
            S r   )r=   )r_   br   s      ra   btdtri_compr      s    !Q!rc   c                 *    t          d| z
  ||          S r   )r>   )r   r   r~   s      ra   btdtria_compr          1Q31rc   c                 *    t          | d|z
  |          S r   )r?   )r_   r   r~   s      ra   btdtrib_compr      s    1ac1rc   c                 $    t          d| |          S r|   )rA   r   r~   s     ra   gdtr_r      s    Q??rc   c                 $    t          d| |          S r|   )rB   r   s     ra   gdtrc_r      s    arc   c                 $    t          d| |          S r|   rC   r   r   s     ra   gdtrix_r          #q!rc   c                 *    t          d| d|z
            S Nr}   r   r   r   s     ra   gdtrix_compr      s    #q!A#rc   c                 $    t          d| |          S r|   rD   r   s     ra   gdtrib_r      r   rc   c                 *    t          dd| z
  |          S r   r   r   s     ra   gdtrib_compr      s    #qsArc   c                 *    t          d| z
  ||          S r   )rE   r   s      ra   nbdtrik_compr      r   rc   c                 (    t          d| z
  |          S r   )rF   )r   r   s     ra   pdtrik_compr      s    !A#q>>rc   c                 (    dt          | |          z  S r|   r(   zr   s     ra   poch_r      s    arc   c                 *    dt          | |           z  S r|   r   r   s     ra   
poch_minusr      s    a!rc   c                 H    t          |                     d          |          S r   )rR   r   r   s     ra   spherical_jn_r      r   rc   c                 H    t          |                     d          |          S r   )rS   r   r   s     ra   spherical_yn_r      r   rc   c                 B    t          | |||          }|j        |j        fS rk   )r	   realimag)r   r   thetaphir   s        ra   	sph_harm_r      s$    Auc""AFAFrc   c                 H    t          | d|z  z             }|j        |j        fS N              ?)r   r   r   r~   r   r   s      ra   cexpm1r     #    a"Q$hA616>rc   c                 H    t          | d|z  z             }|j        |j        fS r   )r   r   r   r  s      ra   clog1pr     r  rc   z%assoc_legendre_p_ipp-assoc_legendre_p)r   r   r      gdy=)rtolzlegendre_p_ipp-legendre_p)r   r   r   z%legendre_p_large_ipp-legendre_p_largeg [n;=gvIh%,=F)r  
vectorizedg7QU=gt0=gvIh%L=g+=g-=zbeta_exp_data_ipp-beta_exp_datagvIh%<=zbeta_med_data_ipp-beta_med_datag-a=z%ibeta_small_data_ipp-ibeta_small_data   g [n<zibeta_data_ipp-ibeta_dataz!ibeta_int_data_ipp-ibeta_int_dataz%ibeta_large_data_ipp-ibeta_large_datag|=z!ibeta_inv_data_ipp-ibeta_inv_datagh㈵>gvIh%\=   gHת>z#ibeta_inva_data_ipp-ibeta_inva_data)r   r   r   g:0y5>)r   r   r      zbinomial_data_ipp-binomial_dataz+binomial_large_data_ipp-binomial_large_dataz,binomial_quantile_ipp-binomial_quantile_dataz>negative_binomial_quantile_ipp-negative_binomial_quantile_datag&.1>z*poisson_quantile_ipp-poisson_quantile_data)r   r   gA:)>zcbrt_data_ipp-cbrt_datar   zdigamma_data_ipp-digamma_datay                z%digamma_neg_data_ipp-digamma_neg_dataz'digamma_root_data_ipp-digamma_root_datagV瞯<z)digamma_small_data_ipp-digamma_small_datag+=zellint_k_data_ipp-ellint_k_datazellint_f_data_ipp-ellint_f_datazellint_e_data_ipp-ellint_e_dataz!ellint_e2_data_ipp-ellint_e2_datazerf_data_ipp-erf_dataz!erf_large_data_ipp-erf_large_datag+&=z!erf_small_data_ipp-erf_small_datazerf_inv_data_ipp-erf_inv_datazerfc_inv_data_ipp-erfc_inv_dataz'erfc_inv_big_data_ipp-erfc_inv_big_datac                     | dk    S r    ss    ra   <lambda>r    s    _`cd_d rc   )param_filterzexpint_1_data_ipp-expint_1_datar  zexpinti_data_ipp-expinti_dataz+expinti_data_double_ipp-expinti_data_doublez'expinti_data_long_ipp-expinti_data_longz'expint_small_data_ipp-expint_small_datazexpint_data_ipp-expint_dataztest_gamma_data_ipp-near_0ztest_gamma_data_ipp-near_1ztest_gamma_data_ipp-near_2ztest_gamma_data_ipp-near_m10ztest_gamma_data_ipp-near_m55gYLɞ=ztest_gamma_data_ipp-factorialsg&.!>g|=g|=z'igamma_small_data_ipp-igamma_small_datag+<z#igamma_med_data_ipp-igamma_med_dataz#igamma_int_data_ipp-igamma_int_dataz#igamma_big_data_ipp-igamma_big_datag-q=z%igamma_inva_data_ipp-igamma_inva_dataz3tgamma_delta_ratio_data_ipp-tgamma_delta_ratio_dataz1tgamma_delta_ratio_int_ipp-tgamma_delta_ratio_intz3tgamma_delta_ratio_int2_ipp-tgamma_delta_ratio_int2zhermite_ipp-hermitezlaguerre2_ipp-laguerre2zhyp2f1 insufficiently accurate.)knownfailurezlaguerre3_ipp-laguerre3z%log1p_expm1_data_ipp-log1p_expm1_datazbessel_i_data_ipp-bessel_i_data)r   r  gP7xf )r  atolz'bessel_i_int_data_ipp-bessel_i_int_datag&.>z3bessel_i_prime_int_data_ipp-bessel_i_prime_int_datagt@=gYnz'bessel_j_int_data_ipp-bessel_j_int_dataz+bessel_j_large_data_ipp-bessel_j_large_datagp~=zbessel_j_data_ipp-bessel_j_dataz3bessel_j_prime_int_data_ipp-bessel_j_prime_int_dataz7bessel_j_prime_large_data_ipp-bessel_j_prime_large_dataz'bessel_k_int_data_ipp-bessel_k_int_datazbessel_k_data_ipp-bessel_k_dataz3bessel_k_prime_int_data_ipp-bessel_k_prime_int_datagt =z+bessel_k_prime_data_ipp-bessel_k_prime_datag(3=z#bessel_y01_data_ipp-bessel_y01_dataz!bessel_yn_data_ipp-bessel_yn_dataz!bessel_yv_data_ipp-bessel_yv_datag|=z-bessel_yv_prime_data_ipp-bessel_yv_prime_datazzeta_data_ipp-zeta_datac                     | dk    S r   r  r  s    ra   r  r    s    QQRU rc   zzeta_neg_data_ipp-zeta_neg_datac                     | dk    S r   r  r  s    ra   r  r    s    UVYZUZ rc   z!zeta_1_up_data_ipp-zeta_1_up_datac                     | dk    S r   r  r  s    ra   r  r    s    WX[\W\ rc   z'zeta_1_below_data_ipp-zeta_1_below_datac                     | dk    S r   r  r  s    ra   r  r    s    ]^ab]b rc   z-gamma_inv_small_data_ipp-gamma_inv_small_dataz!gamma_inv_data_ipp-gamma_inv_dataz)gamma_inv_big_data_ipp-gamma_inv_big_datazgdtrix unflow some points)r  r  g [n<zgdtrix bad some pointsznccs_ipp-nccsgiUMu>znccs_big_ipp-nccs_biggMb@?zchndtr inaccurate some pointsz)spherical_harmonic_ipp-spherical_harmonic)r   r   r  r   )r  r
  c                 6    t          j        | j        d          S N?r   onesshaper   s    ra   r  r        RWQWc%:%: rc   c                 6    t          j        | j        d          S r  r  r  s    ra   r  r    r   rc   c                 V    t          j        | dt           j        z  k     | dk              S )Nr   r   r   logical_andr   r  s    ra   r  r    s     R^A"%Ka%H%H rc   c                 P    t          j        | t           j        k     | dk              S r   r#  r  s    ra   r  r    s    R^AIqAv%F%F rc   )r  r  z#sph_bessel_data_ipp-sph_bessel_dataz%sph_neumann_data_ipp-sph_neumann_datagV瞯=zowens_t_ipp-owens_tz)owens_t_large_data_ipp-owens_t_large_datag-=z!ellint_rc_data_ipp-ellint_rc_datagV瞯<z!ellint_rd_data_ipp-ellint_rd_datazellint_rd_0xy_ipp-ellint_rd_0xyzellint_rd_0yy_ipp-ellint_rd_0yyzellint_rd_xxx_ipp-ellint_rd_xxxzellint_rd_xxz_ipp-ellint_rd_xxzg_1k<zellint_rd_xyy_ipp-ellint_rd_xyygMg<z!ellint_rf_data_ipp-ellint_rf_datazellint_rf_xxx_ipp-ellint_rf_xxxzellint_rf_xyy_ipp-ellint_rf_xyyzellint_rf_xy0_ipp-ellint_rf_xy0zellint_rf_0yy_ipp-ellint_rf_0yyzellint_rg_ipp-ellint_rggؗ<zellint_rg_xxx_ipp-ellint_rg_xxxzellint_rg_xyy_ipp-ellint_rg_xyyg [n<zellint_rg_xy0_ipp-ellint_rg_xy0zellint_rg_00x_ipp-ellint_rg_00xz!ellint_rj_data_ipp-ellint_rj_data)r   r   r   r  g}:c                     | dk    S )Ng}:r  r  s    ra   r  r    s
    Q%Z rc   )r  r  r  test)idsc                 $    t          |            d S rk   _test_factoryr'  s    ra   
test_boostr-  7      $rc   
mathieu_abmathieu_ce_segHz>mathieu_mc_msc                 $    t          |            d S rk   r*  r,  s    ra   test_gslr3  L  r.  rc   ellipkinc_neg_mr,   ellipeinc_neg_mlog1p_expm1_complex)r   r  r    r!   ellip)r   r   r   r  r  rT   c                 $    t          |            d S rk   r*  r,  s    ra   
test_localr9  _  r.  rc   c                    t                      5 }|                    t          d           t          j        d          5  |                     |           ddd           n# 1 swxY w Y   ddd           dS # 1 swxY w Y   dS )z
Boost testz,The occurrence of roundoff error is detectedignore)all)dtypeN)r   filterrU   r   errstatecheck)r'  r=  sups      ra   r+  r+  d  s   			 $

%'UVVV[X&&& 	$ 	$JJUJ###	$ 	$ 	$ 	$ 	$ 	$ 	$ 	$ 	$ 	$ 	$ 	$ 	$ 	$ 	$$ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $s5   1A; A#A;#A'	'A;*A'	+A;;A?A?)osnumpyr   numpy.testingr   pytestscipy.specialr   r   r   r   r   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   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   scipy.integraterU   scipy.special._testutilsrV   loadpathjoindirname__file__r\   re   rh   rW   rf   ri   rn   rs   rv   rx   rz   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  BOOST_TESTSmarkparametrizereprr-  	GSL_TESTSr3  LOCAL_TESTSr9  doubler+  r  rc   ra   <module>rU     sL%   				     + + + + + +                                                                                                                                                                       / . . . . . - - - - - -bgooh&?&?&,k; ; < < rwrw||BGOOH$=$=$*I7 7 8 8 bgooh&?&?$*K9 9 : :> > >
< < <
> > >
            ' ' '  ( ( (( ( (" " "" " "- - -- - -: : :: : :: : :: : :+ + ++ + +* * *+ + ++ + +1 1 11 1 1                            * * ** * *      
k$&MwXY`efffk 	"$?PUVVVk 	"$KUTU\cddd	k
 	 "=uae`efffk 	 "I5RSZanstttk 	T.quQVWWWk 	T:E15]bccck 	:E15QQQk 	FqW\]]]k 	:E15QQQk 	FqW\]]]k 	T.quQVWWWk 	T:E15]bccck  	 "=uae`efff!k" 	 "I5RSZ_lqrrr#k& 	T4eQUKKK'k( 	T4eQUKKK)k* 	T4eQUKKK+k. 	W=wPUVVV/k0 	W17AEJJJ1k2 	W97AERRR3k4 	W=wPUVVV5k8 	Z<gqtTTT9k< 	U;WaeTTT=k> 	U/!%HHH?k@ 	U7!%PPPAkB 	U;WaeTTTCkF 	V8'14PPPGkH 	[=wPTUUUIkL 	W;WadSSSMkN 	\@'1SWXXXOkR 	W;WadSSSSkT 	\@'1SWXXXUkX 	U5uaeLLLYkZ 	UA5!RWXXX[k^ 	VCWaVZ[[[_k` 	[H'ST[_```akd 	WVX_abimnnnekf 	\[]dfgnrsssgkj 	VA5!RVWWWkkl 	[FqW[\\\mkp 	T,a33qkt 	W5q!<<ukv 	W5r1==wkx 	W=q!%PPPykz 	W=r15QQQ{k| 	W?AERRR}k~ 	W?QUSSSk@ 	WA1aeTTTAkB 	WA2quUUUCkF 	W7A>>GkH 	Z:E15QQQIkJ 	W7A>>KkL 	Z<eQUSSSMkP 	S)1a00QkR 	S)2qu===SkT 	T*Aqu===UkV 	S5q!<<WkX 	S5r1==YkZ 	T615III[k\ 	S5q!<<]k^ 	S5r15III_k` 	T61==akd 	V4a;;ekf 	W7A>>gkh 	W?AUdUdfffikl 	T4aGGGmkn 	T4b!$GGGokp 	T2AquEEEqkr 	T@!QUSSSskt 	T<aCCukx 	T<eQGGykz 	T0%GGG{k~ 	U0!Q77k@ 	U0!Q77AkB 	U0!Q77CkD 	U2Aq99EkF 	U2AquEEEGkH 	U4aGGGIkJ 	U0"adCCCKkL 	U0"adCCCMkN 	U0"adCCCOkP 	U2BEEEQkR 	U2BEEESkT 	U4b!%HHHUkV 	W2AquEEEWkX 	W2AquEEEYkZ 	W2AquEEE[k\ 	W4aGGG]k^ 	W4aGGG_k` 	W61==akd 	X@%QVWWWekf 	X<eQUSSSgkh 	X<eQUSSSikj 	X<eQUSSSkkn 	U=uaeTTTokp 	U95!%PPPqkr 	U95!%PPPskt 	U95!$OOOukx 	YA5!RWXXXykz 	Y=uaeTTT{k| 	Y=uaeTTT}k~ 	Y=uaeTTTkB 	V>quUUUCkD 	V:E15QQQEkF 	V:E15QQQGkH 	V:E15QQQIkL 	W=uadSSSMkN 	[A5!RVWWWOkR 	UI5RSZ_```SkT 	UGPQSSUkV 	UI5RSUUWkX 	ZNPUWX_deeeYkZ 	ZLeUVWW[k\ 	ZNPUWXYY]k` 	_3UAEJJJakd 	8%OOOekf 	8%Qrsssgkh 	!#<gquUUUikj 	!#<gqWxyyykkn 	U;QBBokp 	U;QBBqkt 	R2E15IIIukv 	R2FAEPVWWWwkx 	R:E14PPPykz 	R:FAERRR{k~ 	SGPQX_```k@ 	SGQRY`gmnnnAkD 	R:E15QQQEkF 	R:FAERRRGkH 	R>quUUUIkJ 	R>PUVVVKkN 	R:E15QQQOkP 	R:FAERRRQkR 	R2E15IIISkT 	R2FAEJJJUkX 	SGPQX]^^^YkZ 	SGQRY^___[k\ 	SKUTU\abbb]k^ 	SKVUV]bccc_kb 	R:E15QQQckf 	R:E15QQQgkh 	R:FAERRRikj 	R2E15IIIkkl 	R2FAEJJJmkp 	SGPQX]^^^qkr 	SGQRY^___skt 	S?PUVVVukv 	S?QVWWWwkz 	R6quMMM{k| 	R4eQUKKK}k@ 	R4eQUKKKAkB 	R4faeLLLCkD 	R4eQUKKKEkF 	R4faeLLLGkJ 	SA61SWXXXKkL 	SA7ATXYYYMkP 	U-q!??TTTQkR 	U5q!??\\\SkT 	U7A__^^^UkV 	U=q!SbSbdddWkZ 	[I5RSZ_```[k\ 	[=uaeTTT]k^ 	[EuaV[\\\_kb 	\JEST[`aaackd 	\>quUUUekf 	\FqW\]]]gkj 	WEuaV[  kF  	G  	G  	Gkkl 	W95!%PPPmkn 	WA5!LLokp 	[I5RSbz{{{qkr 	[=uaeTTTskt 	[EuaPPukx 	V_gqt<<<ykz 	V,gqtRqrrr{k~ 	YCYPU\a::::HHFFH	I 	I 	IkJ 	]A5!RWXXXKkL 	]CUATYZZZMkP 	W+VQUCCCQkR 	WA61SXYYYSkx 	W961	 	 	yk| 	W99a	 	 	}k@ 	W7A	 	 	AkD 	W7A	 	 	EkH 	W7A	 	 	IkZ 	W7A	 	 	[k^ 	W7A	 	 	_kb 	W99a	 	 	ckf 	W7A	 	 	gkj 	W7A	 	 	kkn 	W7A	 	 	okr 	W7A	 	 	skB	 	W/A	 	 	C	kF	 	W7A	 	 	G	kJ	 	W7A	 	 	K	kN	 	W7A	 	 	O	kR	 	W7A	 	 	S	kV	 	W9<e//1	3 	3 	3W	k\ $77  87
 	L&!%eLLLL&!%eLLL 	)QTPUVVV)QTPUVVV#_iTYZZZ#_iTYZZZ#_iTYZZZ#_iTYZZZ	  55  65
 Jy+VQ77JxQ**Jy+VQ77Jv,eUGGGJv,eUGGGJxVQU;;;Jy+vqu===J|W_ae%PPPJz7?AENNNJ}oy!%HHH $77  87 !i $ $ $ $ $ $rc   