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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                  j                  d      Z^e^j                  d      Z`ej                  j                  e`      5 Zb ej                  eb      Zdddd       e^j                  d      Zeej                  j                  ee      5 Zb ej                  eb      Zfddd       e^j                  d	      Zgej                  j                  eg      5 Zb ej                  eb      Zhddd       d
 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* Zd+ Zd, Zd- Zd. Zd/ Zd0 Zd1 Zd2 Zd3 Zd4 Zd5 Zd6 Zd7 Zg  eieqd8d9d:d;<       eierd=d>d?d;<       eierd@d>d?dA<       eieud=d>d?dBdCD       eieud@d>d?dAdCD       eiesd=d>d?dBdCD       eiesd@d>d?dEdCD       eie}d=d>d?dF<       eie}d@d>d?dG<       eie~d=d>d?dH<       eie~d@d>d?dG<       eietd=d>d:dHdCD       eietd@d>d:dIdCD       eievd=d>d:dHdCD       eievd@d>d:dIdCD       eie)dJd>d?dK<       eie)dJd>d?dK<       eie)dLd>d?dM<       eie*dNd9dOdP<       eie*dQd9dOdM<       eie*dRd9dOdH<       eie*dSd9dOdT<       eie+dUd9d:dV<       eie?dNd9dOdP<       eie?dQd9dOdW<       eie?dRd9dOdH<       eie?dSd9dOdT<       eie@dUd9d:dV<       eiedUd9dXdY<       eieAdZd[d:d\<       eiedZd[dXd\<       eieBdZd]dOd\<       eiedZd]d^d\<       eied_d>d?dK<       eied`d>d?dM<       eie>dad[d:d\<       eiedad[dXd\<       eieHdbd[d:dc<       eiedbd[dXdc<       eieIddded?df<       eieddded:dc<       eiedgdhd        eie(did dh       eie(didjdh       eie(dkd dhdG<       eie(dkdjdhdK<       eie(dld dhdm<       eie(dldjdhdm<       eie(dnd dhdm<       eie(dndjdhdo<       eieldpd dh       eiemdqd>d?do<       eiendrd dh       eieodsd>d?do<       eie7dtd dh       eie7dtdjdhdK<       eie8dtd d?dP<       eie7dud dh       eie7dudjdh       eie8dud d?dv<       eie7dwd dh       eie7dwdjdhdK<       eie8dwd d?       eie9dxd dh       eie:dyd dh       eie:dzd dhd{ |       eie;d}dhd?dK<       eie;d}d~d?d\<       eie<dd dhdK<       eie<dd dhdK<       eie<dd dh       eie=dd>d?       eie=dd>d?do<       eie"dd dh       eie"dd dh       eie"dd dh       eie"dd dh       eie"dd dhd<       eie"dd dhdv<       eie"ddjdhd<       eie"ddjdhd<       eie"ddjdhd<       eie"ddjdhd<       eie"ddjdhd<       eie"ddjdhdG<       eie#dd d?d<       eie#dd d?d<       eie#dd d?d<       eie#dd d?d<       eie#dd d?d<       eie#dd d?       eie$dd>dOd<       eie$dd>dOdG<       eie$dd>dOdG<       eie$dd>dOd<       eiedd>dOdK<       eiedd>dOdG<       eiedd>dOdG<       eiedd>dOd<       eie%dd>d:dK<       eie%dd>d:dG<       eie%dd>d:dv<       eie%dd>d:d;<       eiedd>d:dK<       eiedd>d:dG<       eiedd>d:dv<       eiedd>d:d;<       eiedded?d\<       eiedded:d\<       eiedd>d?dG<       eiedd>d?       eiedd>d?       eiedd>d:dG<       eiedd>d:       eiedd>d:       eiedd>d?dH<       eiedd>d?d<       eiedd>d?d       eiedd9d:dG<       eiedd9d:d       eiedd dh       eiedd d?       eiedd>d?d<       eieddd?dd       eiedd>d?d<       eieddd?d<       eiedd>d?d<       eieddd?dd       eiedd>d?d<       eieddd?d<       eiedd>d?d<       eieddd?d<       eiedd>d?d<       eieddd?d<       eiedd>d?d<       eieddd?d<       eiedd>d?dK<       eieddd?dK<       eiedd>d?d;<       eieddd?d<       eiedd>d?d<       eie dd>d?d<       eie ddd?d<       eie dd>d?d<       eie ddd?d<       eie!dd>d?d<       eie!ddd?d<       eie!dd>d?d<       eie!ddd?d<       eiedd>d?d<       eiedd>d?d<       eiedd>d?d<       eieddd?d<       eiedd>d?d<       eieddd?d<       eiedd>d?dc<       eieddd?dc<       eiepdd dhd |       eiepdd dhd |       eiepdd dhd |       eiepdd dhd |       eie&dd>d?d;<       eie&dd>d?do<       eie&dd>d?d;<       eie'dd>d:d<       eie'dd>d:do<       eie'dd>d:do<       eiedd>d?dEdĬū       eiedd>d?dƬ<       eiedd>d?       eiedd>d?dǬ       eiedd>d:dP<       eiedd>d:       eieCdd[d:dɬ<       eieCdd[d:dd̬ū       eiedddddЄ dф d҄ dӄ fԫ       eiedd>d?dK<       eiedd>d?d׬<       eieJdd>d?dB<       eieJdd>d?dڬ<       eie2dd>d?dܬ<       eie3dd9d:dܬ<       eie3dd9d:dܬ<       eie3dd9d:dܬ<       eie3dd9d:dܬ<       eie3dd9d:d<       eie3dd9d:d<       eie4dd9d:dܬ<       eie4dd9d:dܬ<       eie4dd9d:dܬ<       eie4dd9d:dܬ<       eie4dd9d:dܬ<       eie5dd9d:d<       eie5dd9d:d<       eie5dd9d:d<       eie5dd9d:dܬ<       eie5dd9d:dܬ<       eie6dddXddd f      Zej0                  j3                  dee      d        Z ejeKdd>d?dKdK       ejeLdd>d:dKdK       ejewdd9d:ddK       ejexdd9dXddK       ejeydd9d:ddK       ejezdd9dXddK       eje{dd9dOddK       eje|dd9d^ddK      gZej0                  j3                  dee      d        Z eke1dd>d?       eke0dd dh       eke.d d>d?       ekedd>ddo<       ekedd>ddo<       eke$dd>d?d<       eke%dd>d?d;<       ekeTddd^ddK       ekeSdddOddK       ekeWdd9d:d;<      g
Zej0                  j3                  dee      d        Zej@                  fd	Zy# 1 sw Y   xY w# 1 sw Y   PxY w# 1 sw Y   xY w(
      N)suppress_warnings)P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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)FuncDatazscipy.special.tests.dataz	boost.npzzgsl.npzz	local.npzc                 T    |j                  d|       t        | t        |   g|i |S Ndataname)
setdefaultrU   DATASETS_BOOSTfuncrX   akws       a/home/alanp/www/video.onchill/myenv/lib/python3.12/site-packages/scipy/special/tests/test_data.pydatar`   ,   ,    MM*h'D.2=Q="==    c                 T    |j                  d|       t        | t        |   g|i |S rW   )rY   rU   DATASETS_GSLr[   s       r_   data_gslre   1   s,    MM*h'D,x0;1;;;rb   c                 T    |j                  d|       t        | t        |   g|i |S rW   )rY   rU   DATASETS_LOCALr[   s       r_   
data_localrh   6   ra   rb   c                     t        | | z        S N)r+   ks    r_   ellipk_rm   ;       !A#;rb   c                      t        | ||z        S rj   )r-   frl   s     r_   
ellipkinc_rr   ?       Q!rb   c                     t        | | z        S rj   )r)   rk   s    r_   ellipe_ru   C   rn   rb   c                      t        | ||z        S rj   )r*   rp   s     r_   
ellipeinc_rw   G   rs   rb   c                     t        | d      S N      ?)r   )xs    r_   zeta_r|   K   s    2;rb   c                 B    t        || j                  t              |      S rj   )r   astypeint)numur{   s      r_   assoc_legendre_p_boost_r   O   s    BIIcNA&&rb   c                     t        d| |      S Nr   )r   )r   r{   s     r_   legendre_p_via_assoc_r   S   s    2q>rb   c                 D    t        | j                  d      |      d   d   S Nlr   )r   r~   nr{   s     r_   lpn_r   V   !    qxx}a #B''rb   c                 D    t        | j                  d      |      d   d   S r   )r   r~   r   s     r_   lqn_r   Y   r   rb   c                 (    t        d| |      d   d   S Nr   )r   r   )r   r   s     r_   legendre_p_via_lpmnr   \       1a=D!!rb   c                 (    t        d| |      d   d   S r   )r   r   s     r_   legendre_q_via_lqmnr   _   r   rb   c                 J    t        | ||dz  t        j                  z        d   S N   r   )rI   nppimqr{   s      r_   mathieu_ce_radr   b   "    q!QsU255[)!,,rb   c                 J    t        | ||dz  t        j                  z        d   S r   )rJ   r   r   r   s      r_   mathieu_se_radr   f   r   rb   c                 p    t        | ||      d   t        j                  t        j                  dz        z  S Nr      )rK   r   sqrtr   r   s      r_   mathieu_mc1_scaledr   j   s.     1a#A&q)999rb   c                 p    t        | ||      d   t        j                  t        j                  dz        z  S r   )rL   r   r   r   r   s      r_   mathieu_ms1_scaledr   p   ,    1a#A&q)999rb   c                 p    t        | ||      d   t        j                  t        j                  dz        z  S r   )rM   r   r   r   r   s      r_   mathieu_mc2_scaledr   t   r   rb   c                 p    t        | ||      d   t        j                  t        j                  dz        z  S r   )rN   r   r   r   r   s      r_   mathieu_ms2_scaledr   x   r   rb   c                 8    t        | j                  d      |      S Nr   r
   r~   r   s     r_   eval_legendre_ldr   {       #**rb   c                 8    t        | j                  d      |      S Ndr   r   s     r_   eval_legendre_ddr   ~   r   rb   c                 8    t        | j                  d      |      S r   )r   r~   r   s     r_   eval_hermite_ldr          q))rb   c                 8    t        | j                  d      |      S r   r   r~   r   s     r_   eval_laguerre_ldr      r   rb   c                 8    t        | j                  d      |      S r   r   r   s     r_   eval_laguerre_ddr      r   rb   c                 :    t        | j                  d      ||      S r   r   r~   r   r]   r{   s      r_   eval_genlaguerre_lddr          AHHSM1a00rb   c                 :    t        | j                  d      ||      S r   r   r   s      r_   eval_genlaguerre_dddr      r   rb   c                 "    t        d| z
  ||      S N   )r:   yr   ps      r_   bdtrik_compr      s    !A#q!rb   c                 "    t        | |d|z
        S r   )r<   )r]   br   s      r_   btdtri_compr      s    !Q!rb   c                 "    t        d| z
  ||      S r   )r=   )r   r   r{   s      r_   btdtria_compr          1Q31rb   c                 "    t        | d|z
  |      S r   )r>   )r]   r   r{   s      r_   btdtrib_compr      s    1ac1rb   c                     t        d| |      S ry   )r@   r   r{   s     r_   gdtr_r      s    Q?rb   c                     t        d| |      S ry   )rA   r   s     r_   gdtrc_r      s    arb   c                     t        d| |      S ry   rB   r   r   s     r_   gdtrix_r          #q!rb   c                 "    t        d| d|z
        S Nrz   r   r   r   s     r_   gdtrix_compr      s    #q!A#rb   c                     t        d| |      S ry   rC   r   s     r_   gdtrib_r      r   rb   c                 "    t        dd| z
  |      S r   r   r   s     r_   gdtrib_compr      s    #qsArb   c                 "    t        d| z
  ||      S r   )rD   r   s      r_   nbdtrik_compr      r   rb   c                      t        d| z
  |      S r   )rE   )r   r   s     r_   pdtrik_compr      s    !A#q>rb   c                      dt        | |      z  S ry   r(   zr   s     r_   poch_r      s    arb   c                 "    dt        | |       z  S ry   r   r   s     r_   
poch_minusr      s    a!rb   c                 8    t        | j                  d      |      S r   )rQ   r~   r   s     r_   spherical_jn_r      r   rb   c                 8    t        | j                  d      |      S r   )rR   r~   r   s     r_   spherical_yn_r      r   rb   c                 N    t        | |||      }|j                  |j                  fS rj   )r	   realimag)r   r   thetaphir   s        r_   	sph_harm_r      s%    Auc"AFFAFFrb   c                 T    t        | d|z  z         }|j                  |j                  fS N              ?)r   r   r   r{   r   r   s      r_   cexpm1r      %    a"Q$hA66166>rb   c                 T    t        | d|z  z         }|j                  |j                  fS r   )r   r   r   r   s      r_   clog1pr     r  rb   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kD  S r    ss    r_   <lambda>r  L      QUrb   )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_datagdy=z'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kD  S r   r  r  s    r_   r  r    r  rb   zzeta_neg_data_ipp-zeta_neg_datac                     | dkD  S r   r  r  s    r_   r  r    r  rb   z!zeta_1_up_data_ipp-zeta_1_up_datac                     | dkD  S r   r  r  s    r_   r  r    r  rb   z'zeta_1_below_data_ipp-zeta_1_below_datac                     | dkD  S r   r  r  s    r_   r  r    r  rb   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                 B    t        j                  | j                  d      S N?r   onesshaper   s    r_   r  r        RWWQWWc%:rb   c                 B    t        j                  | j                  d      S r  r  r  s    r_   r  r  	  r  rb   c                 \    t        j                  | dt         j                  z  k  | dk\        S )Nr   r   r   logical_andr   r  s    r_   r  r  
  s    R^^A"%%Ka%Hrb   c                 V    t        j                  | t         j                  k  | dk\        S r   r!  r  s    r_   r  r    s    R^^AIqAv%Frb   )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    r_   r  r  Y  s    Q%Zrb   )r  r  r  test)idsc                     | j                   t        t        t        fv r)t	        j
                         5  t        |        d d d        y t        |        y # 1 sw Y   y xY wrj   )r\   r;   r<   r   pytestdeprecated_call_test_factoryr%  s    r_   
test_boostr,    sF     yyUFK00##%$ &% 	d &%s   AA
mathieu_abmathieu_ce_segHz>mathieu_mc_msc                     t        |        y rj   r*  r+  s    r_   test_gslr2    
    $rb   ellipkinc_neg_mr,   ellipeinc_neg_mlog1p_expm1_complex)r   r  r    r!   ellip)r   r   r   r  r  rS   c                     t        |        y rj   r1  r+  s    r_   
test_localr9    r3  rb   c                     t               5 }|j                  t        d       t        j                  d      5  | j                  |       ddd       ddd       y# 1 sw Y   xY w# 1 sw Y   yxY w)z
Boost testz,The occurrence of roundoff error is detectedignore)all)dtypeN)r   filterrT   r   errstatecheck)r%  r=  sups      r_   r*  r*    sQ    		

%'UV[[X&JJUJ# ' 
	&& 
	s"   -A(AA(A%	!A((A1)importlib.resources	importlibnumpyr   numpy.testingr   r(  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   scipy.integraterT   scipy.special._testutilsrU   	resourcesfiles_datadirjoinpath
_boost_npzas_filerq   loadrZ   _gsl_npzrd   
_local_npzrg   r`   re   rh   rm   rr   ru   rw   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_TESTSr2  LOCAL_TESTSr9  float64r*  r  rb   r_   <module>rY     si     +                      / -
 $$%?@{+
  ,RWWQZN - Y'  *a2771:L + {+
  ,RWWQZN ->
<
>
'((""--::::++*++11**
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