Ë
    7^(h(	  ã                   ó6   — d dl mZmZmZ d dl mZ d„ Zd„ Zd„ Zy)é    )Úbinomial_coefficientsÚbinomial_coefficients_listÚmultinomial_coefficients)Ú!multinomial_coefficients_iteratorc                  óþ   — t        d«      dgk(  sJ ‚t        d«      ddgk(  sJ ‚t        d«      g d¢k(  sJ ‚t        d«      g d¢k(  sJ ‚t        d«      g d¢k(  sJ ‚t        d	«      g d
¢k(  sJ ‚t        d«      g d¢k(  sJ ‚y )Nr   é   é   )r   r	   r   é   )r   r
   r
   r   é   )r   r   é   r   r   é   )r   r   é
   r   r   r   r   )r   r   é   é   r   r   r   )r   © ó    úb/var/www/skyplay_api_hub/venv/lib/python3.12/site-packages/sympy/ntheory/tests/test_multinomial.pyÚtest_binomial_coefficients_listr      s�   € Ü% aÓ(¨Q¨CÒ/Ð/Ð/Ü% aÓ(¨Q°¨FÒ2Ð2Ð2Ü% aÓ(ªIÒ5Ð5Ð5Ü% aÓ(ªLÒ8Ð8Ð8Ü% aÓ(ªOÒ;Ð;Ð;Ü% aÓ(Ò,@Ò@Ð@Ð@Ü% aÓ(Ò,DÒDÐDÑDr   c                  óš   — t        d«      D ]8  } t        | «      }t        |«      D �cg c]  }||   ‘Œ	 }}|t        | «      k(  rŒ8J ‚ y c c}w )Nr   )Úranger   Úsortedr   )ÚnÚcÚkÚls       r   Útest_binomial_coefficientsr      sQ   € Ü�2‹Yò 2ˆÜ! !Ó$ˆÜ! !›9Ö%�aˆQˆq‹TÐ%ˆÐ%ØÔ.¨qÓ1Ó1Ð1Ð1ñ2ùâ%s   §Ac                  ó  — t        dd«      ddik(  sJ ‚t        dd«      ddik(  sJ ‚t        dd«      ddik(  sJ ‚t        dd«      ddik(  sJ ‚t        dd«      ddd	œk(  sJ ‚t        dd«      dddd
œk(  sJ ‚t        dd«      dddddœk(  sJ ‚t        dd«      ddddœk(  sJ ‚t        dd«      dddddddœk(  sJ ‚t        dd«      } | dddddddddddœ
k(  sJ ‚t        t        dd«      «      ddik(  sJ ‚t        t        dd«      «      ddd	œk(  sJ ‚t        t        dd«      «      dddd
œk(  sJ ‚t        t        dd«      «      | k(  sJ ‚t        dd«      }t        d«      D �cg c]  }t	        |«      ‘Œ c}g d¢k(  sJ ‚y c c}w )Nr   )r   r	   )r	   r
   )r
   r   )r   r   ))r   r   )r   r   ))r	   r   )r   r	   )r   r   ))r
   r   )r   r	   )r   r
   )r	   r   ))r   r   r   )r   r   r   )r   r   r   ))r   r   r   )r   r   r	   )r   r   r   )r   r	   r   )r   r   r   )r	   r   r   r   )
)r	   r   r   )r   r
   r   )r   r   r	   )r   r	   r   )r   r   r	   )r
   r   r   )r	   r   r   )r   r	   r   )r   r   r   )r   r   r
   é   r   )))r	   r   r   r   r   r   r   r   ))r   r   r   r   r   r   r   r	   ))r   r	   r   r   r   r   r   r   ))r   r   r   r   r   r   r   r	   )r   Údictr   r   Únext)ÚmcÚitÚis      r   Útest_multinomial_coefficientsr$      s  € Ü# A qÓ)¨d°A¨YÒ6Ð6Ð6Ü# A qÓ)¨d°A¨YÒ6Ð6Ð6Ü# A qÓ)¨d°A¨YÒ6Ð6Ð6Ü# A qÓ)¨f°a¨[Ò8Ð8Ð8Ü# A qÓ)°aÀÑ-CÒCÐCÐCÜ# A qÓ)°aÀÈAÑ-NÒNÐNÐNÜ# A qÓ)°aÀÈAØñ.ò ð ð ä# A qÓ)¸ÀqØñ.ò ð ð ä# A qÓ)¸ÀqØ Q°1Àñ.Dò Dð Dð Dä	! ! QÓ	'€BØ˜Q¨1Ø Q°1ÀØ Q°1ÀñDò Dð Dð Dô Ô1°!°QÓ7Ó8¸VÀQ¸KÒGÐGÐGÜÜ)¨!¨QÓ/ó1Ø=>ÈÑ4JòKð Kð KäÔ1°!°QÓ7Ó8Ø˜A qÑ)ò*ð *ð *äÔ1°!°QÓ7Ó8¸BÒ>Ð>Ð>Ü	*¨1¨aÓ	0€BÜ# A›hÖ'˜ŒD��HÒ'ò	>ò>ð >ñ >ùÒ's   Å!E>N)Úsympy.ntheory.multinomialr   r   r   r   r   r   r$   r   r   r   ú<module>r&      s   ðß sÑ sÝ GòEò2ó>r   