Ë
    (üàgß  ã            
       ó  — d dl Z d dlZd dlmZmZ d dlmZmZmZ d dl	m
Z
mZmZmZmZmZmZmZmZ d dlmZ d dlmZmZ d dlmZ d dlmZmZ d d	lmZmZ d
„ Z d„ Z!d„ Z" G d„ d«      Z# G d„ dejH                  «      Z% G d„ dejH                  «      Z& eddddd„ i«      xs g Z' e(e'«      D �]J  \  Z)Z* e+e*e,«      rA e jZ                  de*«      Z.e.sJ ‚e.j_                  d«      ja                  dd«      Z1 e"e1«      Z2ŒQ e3e*d«      r%e*jh                  Z5e*jl                  Z7e*jp                  Z9Œe2ju                  e*jv                  «      Z<e*jz                  e7e5e9fD � cg c]
  }  e| «      ‘Œ c} Z> ej~                  e>d«      Z@ ejt                  e@d«      ZAeAe<e*j„                  e*j†                  z   fd„ZDeAe<e*j„                  e*j†                  z   fd „ZEe*jŒ                  dk(  r eGe&d!e)z  eD«       �Œ> eGe&d"e)z  eE«       �ŒM  edd#d$i «      xs g ZH e(eH«      D �]+  \  Z)Z* e+e*e,«      rA e jZ                  de*«      Z.e.sJ ‚e.j_                  d«      ja                  dd«      Z1 e"e1«      Z2ŒQ e3e*d«      r%e*jh                  Z5e*jl                  Z7e*jp                  Z9Œe2ju                  e*jv                  «      Z<e*jz                  e7e5e9e*j’                  fD � cg c]
  }  e| «      ‘Œ c} ZJ ej~                  eJd«      Z@ ejt                  e@d e#e*j–                  «      ¬%«      ZLeLe<e*j„                  e*j†                  z   fd&„ZM eGe&d'e)z  eM«       �Œ.  G d(„ d)ejH                  «      ZN G d*„ d+ejH                  «      ZO ed,d-d.d/„ d0„ d1„ d2œ«      xs g Z'e' ed,d3d.d4„ d5„ d6„ d2œ«      xs g z  Z' e(e'«      D �]\  \  Z)Z* e+e*e,«      rc e jZ                  d7e*«      Z.e.sJ ‚e.j_                  d8«      ZPe.j_                  d9«      ja                  dd«      Z1e1d:v re1d;d ZQe1dd; Z1ndZQ e"e1«      Z2ŒseQ€e2ju                  e*jv                  «      Z<ne2ju                  e*jv                  eQ¬<«      Z< ej~                  ePe*j¤                  e*j¦                  ¬=«      ZT ejt                  eTd«      ZAeAe<e*j„                  e*j†                  z   fd>„ZDeAe<e*j„                  e*j†                  z   fd?„ZEe*jŒ                  j«                  d«      r eGeOd!e)z  eD«       �ŒP eGeOd"e)z  eE«       �Œ_  ed,d@d.dAdB„ i«      xs g ZH e(eH«      D ]é  \  Z)Z* e+e*e,«      rR e jZ                  d7e*«      Z.e.sJ ‚e.j_                  d8«      ZPe.j_                  d9«      ja                  dd«      Z1 e"e1«      Z2Œae2ju                  e*jv                  «      Z< ej~                  ePe*j¬                  ¬C«      ZT ejt                  eTd e#e*j–                  «      ¬%«      ZLeLe<e*j„                  e*j†                  z   fdD„ZW eGeOd'e)z  eW«       Œë  G dE„ dFejH                  «      ZX G dG„ dHejH                  «      ZYdI„ ZZ G dJ„ dKejH                  «      Z[ G dL„ dMejH                  «      Z\i fdN„Z]e^dOk(  rdP„ Z_ ejÀ                  dQ¬R«       yyc c} w c c} w )Sé    N)ÚhexlifyÚ	unhexlify)ÚtobytesÚbordÚbchr)	ÚSHA1ÚSHA224ÚSHA256ÚSHA384ÚSHA512ÚSHA3_224ÚSHA3_256ÚSHA3_384ÚSHA3_512)ÚDSS)ÚDSAÚECC)Úlist_test_cases)Úload_test_vectorsÚload_test_vectors_wycheproof)Úbytes_to_longÚlong_to_bytesc                 ón   — | j                  dd«      j                  dd«      }t        t        |«      «      S )Nú Ú ú
)Úreplacer   r   ©Ú	hexstringÚwss     ú`/var/www/skyplay_api_hub/venv/lib/python3.12/site-packages/Crypto/SelfTest/Signature/test_dss.pyÚt2br"   1   s0   € Ø	×	Ñ	˜3 Ó	#×	+Ñ	+¨D°"Ó	5€BÜ”W˜R“[Ó!Ð!ó    c                 ó^   — | j                  dd«      j                  dd«      }t        |d«      S )Nr   r   r   é   )r   Úintr   s     r!   Út2lr'   6   s-   € Ø	×	Ñ	˜3 Ó	#×	+Ñ	+¨D°"Ó	5€BÜˆr�2‹;Ðr#   c                 óF   — t        d| z   t        «       t        «       dg«      S )NzCrypto.Hash.Únew)Ú
__import__ÚglobalsÚlocals)Ú	hash_names    r!   Úload_hash_by_namer.   ;   s   € Ü�n yÑ0´'³)¼V»XÈÀwÓOÐOr#   c                   ó   — e Zd Zd„ Zd„ Zy)ÚStrRNGc                 ób   — t        |«      }d| _        t        t        |«      dz
  |«      | _        y )Nr   é   )ÚlenÚ_idxr   r   Ú_randomness)ÚselfÚ
randomnessÚlengths      r!   Ú__init__zStrRNG.__init__A   s+   € Ü�Z“ˆØˆŒ	ä(¬°zÓ)BÀQÑ)FÈÓOˆÕr#   c                 ó|   — | j                   | j                  | j                  |z    }| xj                  |z  c_        |S ©N)r5   r4   )r6   ÚnÚouts      r!   Ú__call__zStrRNG.__call__G   s2   € Ø×Ñ˜tŸy™y¨¯©°Q©Ð7ˆØ�	Š	�Q‰�	Øˆ
r#   N)Ú__name__Ú
__module__Ú__qualname__r9   r>   © r#   r!   r0   r0   ?   s   „ òPór#   r0   c                   óž   — e Zd ZdZdZdZdZdZ ej                  eeeef«      Z
 ej                  eeeeef«      Zd„ Zd„ Zd„ Zd	„ Zd
„ Zd„ Zy)ÚFIPS_DSA_TestslE   ƒb{1§NV9d`kZ	->½z“[SQp;Q~ŽKYnÈlwzÝb¾…¸p\KÀjž8Aì\ÐPRIªm-Áyˆvž1Z@HŽ-[Ss%Z=	•Vª5’tÐ&ÖJL;˜O:v¨+MY2›à|IØ5¼<€4ÎG
 l   •d*(¨+÷_itñƒzû&¬>álE   3~É; .èhÆB$ßM©#Mä6NIi%2Ð|É9QsNýn$®xý|’%ÖKˆp"8�0‘E=‰SVBâ­+ª1ˆY>JAiÖ, ol}ªpá=r>As’jæC«]Š[kq+¸xcbw:uot7OãlA4ô
?K#=\FqÅXýKŠY l   :|ÇÑ¸
W/z1YEm\}lE   w}ÿSV@6ê>»FÑz–mðd¬XRWÍ=!]nÊ/^ßczp¼v-�`.+@|íD­‡IlB&]ió:ä=ï$gm@WËµp™A¯Rqt‘3´6¾Ué�ÆFŸYP$v7Ø!™b@!l~E/*ø:NW"¯gþ	 c                  ó   — y)NzFIPS DSA TestsrB   ©r6   s    r!   ÚshortDescriptionzFIPS_DSA_Tests.shortDescriptionY   s   € Ør#   c                 óô   — t        j                  d«      }t        j                  | j                  d«      }|j	                  |«      }t        j                  | j
                  d«      }|j                  ||«       y ©Nó   testú
fips-186-3©r   r)   r   Úkey_privÚsignÚkey_pubÚverify©r6   Ú
hashed_msgÚsignerÚ	signatureÚverifiers        r!   Útest_loopbackzFIPS_DSA_Tests.test_loopback\   óT   € Ü—Z‘Z Ó(ˆ
Ü—‘˜Ÿ™¨Ó5ˆØ—K‘K 
Ó+ˆ	ä—7‘7˜4Ÿ<™<¨Ó6ˆØ�‰˜
 IÕ.r#   c                 ó  — ddl m} d| _        |j                  «       }t	        j                  | j
                  d«      }| j                  t        |j                  |«       | j                  t        |j                  |d«       y)ú*Verify that unapproved hashes are rejectedr   )Ú	RIPEMD160z Unapproved hash (RIPEMD160) testrK   ó(                                           N)
ÚCrypto.HashrZ   Údescriptionr)   r   rM   ÚassertRaisesÚ
ValueErrorrN   rP   )r6   rZ   Úhash_objrS   s       r!   Útest_negative_unapproved_hashesz.FIPS_DSA_Tests.test_negative_unapproved_hashesd   s\   € õ 	*à=ˆÔØ—=‘=“?ˆÜ—‘˜Ÿ™¨Ó5ˆØ×Ñœ* f§k¡k°8Ô<Ø×Ñœ* f§m¡m°X¸|ÕLr#   c                 óâ   — d| _         | j                  t        t        j                  | j
                  d«       d| _         | j                  t        t        j                  | j
                  dd«       y©z0Verify that unknown modes/encodings are rejectedzUnknown mode testz
fips-186-0zUnknown encoding testrK   ÚxmlN©r]   r^   r_   r   r)   rM   rF   s    r!   Ú%test_negative_unknown_modes_encodingsz4FIPS_DSA_Tests.test_negative_unknown_modes_encodingso   óN   € ð /ˆÔØ×Ñœ*¤c§g¡g¨t¯}©}¸lÔKà2ˆÔØ×Ñœ*¤c§g¡g¨t¯}©}¸lÈEÕRr#   c                 ód  — d| _         t        j                  «       }t        j                  | j                  dd«      }|j                  |«      }| j                  t        |d   «      d«       |j                  ||«       t        d«      |dd z   }| j                  t        |j                  ||«       y©	zVerify ASN.1 encodingzASN.1 encoding testrK   Úderr   é0   é   r2   N)r]   r   r)   r   rM   rN   ÚassertEqualr   rP   r   r^   r_   ©r6   r`   rS   rT   s       r!   Útest_asn1_encodingz!FIPS_DSA_Tests.test_asn1_encodingx   s’   € ð 1ˆÔÜ—8‘8“:ˆÜ—‘˜Ÿ™¨°eÓ<ˆØ—K‘K Ó)ˆ	ð 	×Ñœ˜i¨™lÓ+¨RÔ0Ø�‰�h 	Ô*ô ˜“G˜i¨¨˜mÑ+ˆ	Ø×Ñœ* f§m¡m°X¸yÕIr#   c                 óÄ  — d| _         t        j                  | j                  d«      }| j	                  |j                  «       «       t        j                  | j                  d«      }| j                  |j                  «       «       	 |j                  t        j                  d«      «       d}| j	                  d|v «       y# t        $ r}t        |«      }Y d}~Œ-d}~ww xY w©zVerify public/private methodzcan_sign() testrK   s   xyzr   NzPrivate key is needed)r]   r   r)   rM   Ú
assertTrueÚcan_signrO   ÚassertFalserN   r
   Ú	TypeErrorÚstr©r6   rS   ÚmsgÚes       r!   Útest_sign_verifyzFIPS_DSA_Tests.test_sign_verifyˆ   sª   € ð -ˆÔÜ—‘˜Ÿ™¨Ó5ˆØ�‰˜Ÿ™Ó)Ô*ä—‘˜Ÿ™ |Ó4ˆØ×Ñ˜Ÿ™Ó*Ô+ð	Ø�K‰KœŸ
™
 6Ó*Ô+ð ˆCØ�‰Ð/°3Ð6Õ7øô	 ò 	Ü�a“&�Cûð	ús   Â$C Ã	CÃ
CÃCN)r?   r@   rA   ÚPÚQÚGÚXÚYr   Ú	constructrO   rM   rG   rV   ra   rf   ro   rz   rB   r#   r!   rD   rD   M   sw   „ ð 	K€AØ2€Að 	K€AØ2€Að 	K€Aàˆc�m‰m˜Q  1 a˜LÓ)€GØˆs�}‰}˜a  A q¨!˜_Ó-€Hò ò/ò	MòSòJó 8r#   rD   c                   ó   — e Zd Zy)ÚFIPS_DSA_Tests_KATN©r?   r@   rA   rB   r#   r!   r‚   r‚   ›   ó   „ Ør#   r‚   )Ú	Signaturer   zFIPS_186_3_SigVer.rspzSignature Verification 186-3Úresultc                 ó   — | S r;   rB   ©Úxs    r!   ú<lambda>rŠ   ¢   ó   € ¸Q€ r#   z1\[mod = L=([0-9]+), N=([0-9]+), ([a-zA-Z0-9-]+)\]é   ú-r   ÚpFrK   c                 ó(   — |j                  ||«       y r;   ©rP   ©r6   rU   r`   rT   s       r!   Úpositive_testr’   ¹   ó   € Ø�‰˜ )Õ,r#   c                 óH   — | j                  t        |j                  ||«       y r;   ©r^   r_   rP   r‘   s       r!   Únegative_testr–   ¼   ó   € Ø×Ñœ* h§o¡o°xÀÕKr#   ztest_verify_positive_%dztest_verify_negative_%dzFIPS_186_3_SigGen.txtzSignature Creation 186-3)Úrandfuncc                 óF   — | j                  |j                  |«      |«       y r;   ©rm   rN   ©r6   rS   r`   rT   s       r!   Únew_testrœ   Þ   ó   € Ø×Ñ˜Ÿ™ XÓ.°	Õ:r#   ztest_sign_%dc                   ó|   — e Zd Z ej                  d¬«      Zej                  «       Zd„ Zd„ Z	d„ Z
d„ Zd„ Zd„ Zd	„ Zy
)ÚFIPS_ECDSA_TestsúP-256©Úcurvec                  ó   — y)NzFIPS ECDSA TestsrB   rF   s    r!   rG   z!FIPS_ECDSA_Tests.shortDescriptionè   s   € Ø!r#   c                 óô   — t        j                  d«      }t        j                  | j                  d«      }|j	                  |«      }t        j                  | j
                  d«      }|j                  ||«       y rI   rL   rQ   s        r!   rV   zFIPS_ECDSA_Tests.test_loopbackë   rW   r#   c                 ó  — ddl m} d| _         |j                  «       }t	        j                  | j
                  d«      }| j                  t        |j                  |«       | j                  t        |j                  |d«       y)rY   r   )r   zUnapproved hash (SHA-1) testrK   r[   N)
r\   r   r]   r)   r   rM   r^   r_   rN   rP   )r6   r   r`   rS   s       r!   ra   z0FIPS_ECDSA_Tests.test_negative_unapproved_hashesó   s^   € õ 	%à9ˆÔØ�4—8‘8“:ˆÜ—‘˜Ÿ™¨Ó5ˆØ×Ñœ* f§k¡k°8Ô<Ø×Ñœ* f§m¡m°X¸|ÕLr#   c                 ó|   — t        j                  d¬«      }| j                  t        t        j
                  |d«       y )NÚed25519r¡   rK   )r   Úgenerater^   r_   r   r)   )r6   Úkeys     r!   Útest_negative_eddsa_keyz(FIPS_ECDSA_Tests.test_negative_eddsa_keyþ   s(   € Ü�l‰l Ô+ˆØ×Ñœ*¤c§g¡g¨s°LÕAr#   c                 ó,  — d| _         t        j                  | j                  d«      }| j	                  |j                  «       «       t        j                  | j                  d«      }| j                  |j                  «       «       | j                  t        |j                  t        j                  d«      «       	 |j                  t        j                  d«      «       d}| j	                  d|v «       y# t        $ r}t        |«      }Y d}~Œ-d}~ww xY wrq   )r]   r   r)   rM   rr   rs   rO   rt   r^   ru   rN   r
   rv   rw   s       r!   rz   z!FIPS_ECDSA_Tests.test_sign_verify  sÉ   € ð -ˆÔÜ—‘˜Ÿ™¨Ó5ˆØ�‰˜Ÿ™Ó)Ô*ä—‘˜Ÿ™ |Ó4ˆØ×Ñ˜Ÿ™Ó*Ô+Ø×Ñœ) V§[¡[´&·*±*¸VÓ2DÔEð	Ø�K‰KœŸ
™
 6Ó*Ô+ð ˆCØ�‰Ð/°3Ð6Õ7øô	 ò 	Ü�a“&�Cûð	ús   Â;$C5 Ã5	DÃ>DÄDc                 óâ   — d| _         | j                  t        t        j                  | j
                  d«       d| _         | j                  t        t        j                  | j
                  dd«       yrc   re   rF   s    r!   rf   z6FIPS_ECDSA_Tests.test_negative_unknown_modes_encodings  rg   r#   c                 ód  — d| _         t        j                  «       }t        j                  | j                  dd«      }|j                  |«      }| j                  t        |d   «      d«       |j                  ||«       t        d«      |dd z   }| j                  t        |j                  ||«       yri   )r]   r
   r)   r   rM   rN   rm   r   rP   r   r^   r_   rn   s       r!   ro   z#FIPS_ECDSA_Tests.test_asn1_encoding  s’   € ð 1ˆÔÜ—:‘:“<ˆÜ—‘˜Ÿ™¨°eÓ<ˆØ—K‘K Ó)ˆ	ð 	×Ñœ˜i¨™lÓ+¨RÔ0Ø�‰�h 	Ô*ô ˜“G˜i¨¨˜mÑ+ˆ	Ø×Ñœ* f§m¡m°X¸yÕIr#   N)r?   r@   rA   r   r¨   rM   Ú
public_keyrO   rG   rV   ra   rª   rz   rf   ro   rB   r#   r!   rŸ   rŸ   ã   sG   „ àˆs�|‰| 'Ô*€HØ×!Ñ!Ó#€Gò"ò/ò	MòBò8ò&SóJr#   rŸ   c                   ó   — e Zd Zy)ÚFIPS_ECDSA_Tests_KATNrƒ   rB   r#   r!   r°   r°   /  r„   r#   r°   )r…   ÚECDSAz
SigVer.rspz"ECDSA Signature Verification 186-3c                 ó   — | S r;   rB   rˆ   s    r!   rŠ   rŠ   6  r‹   r#   c                 ó   — t        | d«      S ©Nr%   ©r&   rˆ   s    r!   rŠ   rŠ   7  ó   € ¼¸QÀ»€ r#   c                 ó   — t        | d«      S r´   rµ   rˆ   s    r!   rŠ   rŠ   8  r¶   r#   )r†   ÚqxÚqyzSigVer_TruncatedSHAs.rspc                 ó   — | S r;   rB   rˆ   s    r!   rŠ   rŠ   =  r‹   r#   c                 ó   — t        | d«      S r´   rµ   rˆ   s    r!   rŠ   rŠ   >  r¶   r#   c                 ó   — t        | d«      S r´   rµ   rˆ   s    r!   rŠ   rŠ   ?  r¶   r#   z\[(P-[0-9]+),(SHA-[0-9]+)\]r2   é   )Ú	SHA512224Ú	SHA512256éýÿÿÿ©Útruncate)r¢   Úpoint_xÚpoint_yc                 ó(   — |j                  ||«       y r;   r�   r‘   s       r!   r’   r’   Y  r“   r#   c                 óH   — | j                  t        |j                  ||«       y r;   r•   r‘   s       r!   r–   r–   \  r—   r#   z
SigGen.txtÚdc                 ó   — t        | d«      S r´   rµ   rˆ   s    r!   rŠ   rŠ   h  s   € ¼¸A¸r»
€ r#   ©r¢   rÇ   c                 óF   — | j                  |j                  |«      |«       y r;   rš   r›   s       r!   Ú	sign_testrË   x  r�   r#   c                   óF  — e Zd ZdZddgZddddedfdd	d
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«      t        |«      t        |«      z   || j                  |   «      }|j                  |«       Œ\ || _        y c c}w )Nr   )Ú
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Nl   ï%ñ360Š@          l   /'ÄP‹=àeI+~xÃ\?-)Ïir½   r2   Fúdeterministic-rfc6979s*   009a4d6792295a7f730fc3f2b49cbc0f62e862272fs   samples*   01795edf0d54db760f156d0dac04c0322b3a204224)Úpowr   r€   r   r)   rm   r   Ú_int2octetsr
   ÚdigestÚ_bits2octets)r6   Úqr‰   rŽ   r  r©   rS   Úh1s           r!   Útest1zDet_DSA_Tests.test1x  s»   € Ø7ˆØ7ˆØ�‰E�A‰IˆÜ��1�a‹LˆÜ�m‰mœS  A q›\¨1¨a°°AÐ6¸Ó>ˆÜ—‘˜Ð5Ó6ˆð 	×Ñœ ×!3Ñ!3°AÓ!6Ó7Ø9ô	;ô �Z‰Z˜	Ó"×)Ñ)Ó+ˆØ×Ñœ ×!4Ñ!4°RÓ!8Ó9Ø9õ	;r#   c                 ó¨  — | j                   D ]Ã  }|j                  }t        j                  |j                  |j
                  |j                  |j                  |j                  gd«      }t        j                  |d«      }|j                  j                  |j                  «      }|j                  |«      }| j                  |j                  |«       ŒÅ y )NFr)  )r  r%  r   r€   r  ÚgrŽ   r.  r‰   r   r)   r$  r   rN   rm   r†   )r6   Úsigr  r©   rS   r`   r†   s          r!   Útest2zDet_DSA_Tests.test2‰  s–   € à—?‘?ò 	1ˆCØ—‘ˆBÜ—-‘- §¡ r§t¡t¨R¯T©T°2·4±4¸¿¹Ð >ÀÓFˆCÜ—W‘W˜SÐ"9Ó:ˆFà—z‘z—~‘~ c§k¡kÓ2ˆHØ—[‘[ Ó*ˆFØ×Ñ˜SŸZ™Z¨Õ0ñ	1r#   N)r?   r@   rA   Ú__doc__r  r   r	   r
   r   r   r  r'  r0  r4  rB   r#   r!   rÍ   rÍ   }  s$  „ Ùðð(ð+5€Dðv Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð Ø:Ø:Ø:ØØðð ØRØRØRØØðð ØRØRØRØØðð ØRØRØRØØðð ØRØRØRØØðð ØRØRØRØØðð ØRØRØRØØðð ØRØRØRØØðð ØRØRØRØØðð ØRØRØRØØðð ØRØRØRØØððsa
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 IÕ.r#   c                 óô   — t        j                  d«      }t        j                  | j                  d«      }|j	                  |«      }t        j                  | j
                  d«      }|j                  ||«       y rÐ  )r   r)   r   Úkey_priv_p224rN   Úkey_pub_p224rP   rQ   s        r!   Útest_loopback_p224z"Det_ECDSA_Tests.test_loopback_p224:  rÔ  r#   c                 óô   — t        j                  d«      }t        j                  | j                  d«      }|j	                  |«      }t        j                  | j
                  d«      }|j                  ||«       y rÐ  )r   r)   r   Úkey_priv_p256rN   Úkey_pub_p256rP   rQ   s        r!   Útest_loopback_p256z"Det_ECDSA_Tests.test_loopback_p256B  rÔ  r#   c                 óô   — t        j                  d«      }t        j                  | j                  d«      }|j	                  |«      }t        j                  | j
                  d«      }|j                  ||«       y rÐ  )r   r)   r   Úkey_priv_p384rN   Úkey_pub_p384rP   rQ   s        r!   Útest_loopback_p384z"Det_ECDSA_Tests.test_loopback_p384J  rÔ  r#   c                 óô   — t        j                  d«      }t        j                  | j                  d«      }|j	                  |«      }t        j                  | j
                  d«      }|j                  ||«       y rÐ  )r   r)   r   Úkey_priv_p521rN   Úkey_pub_p521rP   rQ   s        r!   Útest_loopback_p521z"Det_ECDSA_Tests.test_loopback_p521R  rÔ  r#   c                 óà   — t        j                  | j                  d«      }| j                  D ]?  \  }}}}}|j                  |«      }|j	                  |«      }| j                  ||z   |«       ŒA y ©Nr)  )r   r)   rÑ  Úsignatures_p192rN   rm   ©	r6   rS   r   r  r"  r#  r$  r`   r†   s	            r!   Útest_data_rfc6979_p192z&Det_ECDSA_Tests.test_data_rfc6979_p192Z  ói   € Ü—‘˜×+Ñ+Ð-DÓEˆØ(,×(<Ñ(<ò 	,Ñ$ˆG�Q˜˜1˜fØ—z‘z 'Ó*ˆHØ—[‘[ Ó*ˆFØ×Ñ˜Q ™U FÕ+ñ	,r#   c                 óà   — t        j                  | j                  d«      }| j                  D ]?  \  }}}}}|j                  |«      }|j	                  |«      }| j                  ||z   |«       ŒA y ræ  )r   r)   rÖ  Úsignatures_p224rN   rm   rè  s	            r!   Útest_data_rfc6979_p224z&Det_ECDSA_Tests.test_data_rfc6979_p224a  rê  r#   c                 óà   — t        j                  | j                  d«      }| j                  D ]?  \  }}}}}|j                  |«      }|j	                  |«      }| j                  ||z   |«       ŒA y ræ  )r   r)   rÚ  Úsignatures_p256rN   rm   rè  s	            r!   Útest_data_rfc6979_p256z&Det_ECDSA_Tests.test_data_rfc6979_p256h  rê  r#   c                 óà   — t        j                  | j                  d«      }| j                  D ]?  \  }}}}}|j                  |«      }|j	                  |«      }| j                  ||z   |«       ŒA y ræ  )r   r)   rÞ  Úsignatures_p384rN   rm   rè  s	            r!   Útest_data_rfc6979_p384z&Det_ECDSA_Tests.test_data_rfc6979_p384o  rê  r#   c                 óà   — t        j                  | j                  d«      }| j                  D ]?  \  }}}}}|j                  |«      }|j	                  |«      }| j                  ||z   |«       ŒA y ræ  )r   r)   râ  Úsignatures_p521rN   rm   rè  s	            r!   Útest_data_rfc6979_p521z&Det_ECDSA_Tests.test_data_rfc6979_p521v  rê  r#   N)3r?   r@   rA   r   r€   rÑ  r®   rÒ  rÖ  r×  rÚ  rÛ  rÞ  rß  râ  rã  r   r	   r
   r   r   Úsignatures_p192_Úsignatures_p224_Úsignatures_p256_Úsignatures_p384_Úsignatures_p521_rç  ÚaÚbÚcrÇ   ry   r   r   Únew_tvr  rì  rï  rò  rõ  rG   rÓ  rØ  rÜ  rà  rä  ré  rí  rð  ró  rö  rB   r#   r!   r7  r7  •  sM  „ à!�C—M‘M¨Ð3eÔf€MØ ×+Ñ+Ó-€Là!�C—M‘M¨Ð3mÔn€MØ ×+Ñ+Ó-€Là!�C—M‘M¨Ð3uÔv€MØ ×+Ñ+Ó-€Là!�C—M‘M¨ð  4Vô  W€MØ ×+Ñ+Ó-€Là!�C—M‘M¨ð  4yô  z€MØ ×+Ñ+Ó-€Lð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ð Ø>Ø>Ø>Øð	
ðAGÐðV ØFØFØFØð	
ð ØFØFØFØð	
ð ØFØFØFØð	
ð ØFØFØFØð	
ð ØFØFØFØð	
ð ØFØFØFØð	
ð ØFØFØFØð	
ð ØFØFØFØð	
ð ØFØFØFØð	
ð ØFØFØFØð	
ðAGÐðV ØNØNØNØð	
ð ØNØNØNØð	
ð ØNØNØNØð	
ð ØNØNØNØð	
ð ØNØNØNØð	
ð ØNØNØNØð	
ð ØNØNØNØð	
ð ØNØNØNØð	
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ð ØNØNØNØð	
ðAGÐðV ØnØnØnØð	
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ð ØnØnØnØð	
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ð ØnØnØnØð	
ð ØnØnØnØð	
ð ØnØnØnØð	
ðAGÐðV ð Sð Sð SØð	
ð ð Sð Sð SØð	
ð ð Sð Sð SØð	
ð ð Sð Sð SØð	
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ð ð Sð Sð SØð	
ð ð Sð Sð SØð	
ð ð Sð Sð SØð	
ð ð Sð Sð SØð	
ð ð Sð Sð SØð	
ðAGÐðR €OØ)ò '‰ˆˆ1ˆa��AÙ˜!“*™i¨›l©I°a«L¹)ÀA»,ÈÐJˆØ×Ñ˜vÕ&ð'ð €OØ)ò '‰ˆˆ1ˆa��AÙ˜!“*™i¨›l©I°a«L¹)ÀA»,ÈÐJˆØ×Ñ˜vÕ&ð'ð €OØ)ò '‰ˆˆ1ˆa��AÙ˜!“*™i¨›l©I°a«L¹)ÀA»,ÈÐJˆØ×Ñ˜vÕ&ð'ð €OØ)ò '‰ˆˆ1ˆa��AÙ˜!“*™i¨›l©I°a«L¹)ÀA»,ÈÐJˆØ×Ñ˜vÕ&ð'ð €OØ)ò '‰ˆˆ1ˆa��AÙ˜!“*™i¨›l©I°a«L¹)ÀA»,ÈÐJˆØ×Ñ˜vÕ&ð'ò+ò/ò/ò/ò/ò/ò,ò,ò,ò,ó,r#   r7  c                 ó|  — | dk(  rt         }|S | dk(  rt        j                  d¬«      }|S | dk(  rt        j                  d¬«      }|S | dk(  rt        }|S | dk(  rt        }|S | d	k(  rt        }|S | d
k(  rt
        }|S | dk(  rt        }|S | dk(  rt        }|S | dk(  rt        }|S | dk(  rt        }|S t        d| z   «      ‚)NzSHA-512zSHA-512/224Ú224rÁ   zSHA-512/256Ú256zSHA-384zSHA-256zSHA-224zSHA-1zSHA3-224zSHA3-256zSHA3-384zSHA3-512zUnknown hash algorithm: )r   r)   r   r
   r	   r   r   r   r   r   r_   )r-   Úhash_modules     r!   Úget_hash_moduler  ~  s"  € Ø�IÒÜˆð. Ðð- 
�mÒ	#Ü—j‘j¨%Ô0ˆð* Ðð) 
�mÒ	#Ü—j‘j¨%Ô0ˆð& Ðð% 
�iÒ	Üˆð" Ðð! 
�iÒ	Üˆð Ðð 
�iÒ	Üˆð Ðð 
�gÒ	Üˆð Ðð 
�jÒ	 Üˆð Ðð 
�jÒ	 Üˆð Ðð 
�jÒ	 Üˆð
 Ðð	 
�jÒ	 Üˆð Ðô Ð3°iÑ?Ó@Ð@r#   c                   ó0   — e Zd Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zy)ÚTestVectorsDSAWycheproofc                 óz   — t         j                  j                  | «       || _        || _        d| _        g | _        y ©NÚNone)ÚunittestÚTestCaser9   Ú_wycheproof_warningsÚ_slow_testsÚ_idÚtv©r6   Úwycheproof_warningsÚ
slow_testss      r!   r9   z!TestVectorsDSAWycheproof.__init__œ  s4   € Ü×Ñ×"Ñ" 4Ô(Ø$7ˆÔ!Ø%ˆÔØˆŒØˆ�r#   c           	      óf   — d„ }d„ }d„ }t        ddd|||dœ¬«      }| xj                  |z  c_        y )	Nc                 ó2   — t        j                  | d   «      S )NÚkeyPem)r   Ú
import_key©Úgroups    r!   Ú
filter_dsaz2TestVectorsDSAWycheproof.setUp.<locals>.filter_dsa¥  s   € Ü—>‘> %¨¡/Ó2Ð2r#   c                 ó   — t        | d   «      S ©NÚsha©r  r  s    r!   Ú
filter_shaz2TestVectorsDSAWycheproof.setUp.<locals>.filter_sha¨  ó   € Ü" 5¨¡<Ó0Ð0r#   c                 ó6   — | d   }|dk7  rt        d|z   «      ‚|S )NÚtypeÚ	DsaVerifyúUnknown signature type ©r_   )r  Úsig_types     r!   Úfilter_typez3TestVectorsDSAWycheproof.setUp.<locals>.filter_type«  s)   € Ø˜V‘}ˆHØ˜;Ò&Ü Ð!:¸XÑ!EÓFÐFØˆOr#   ©r…   Ú
wycheproofzdsa_test.jsonzWycheproof DSA signature)r©   r  r%  ©Ú	group_tag©r   r  )r6   r  r  r&  r†   s        r!   r'  zTestVectorsDSAWycheproof.setUp£  sF   € ò	3ò	1ò	ô .Ð.IØ.=Ø.HØ@JØHRØEPñ9RôSˆð 	�Š�6ÑŽr#   c                 ó   — | j                   S r;   ©r  rF   s    r!   rG   z)TestVectorsDSAWycheproof.shortDescription¹  ó   € Ø�x‰xˆr#   c                 ó˜   — |j                   r>| j                  r1dd l}|j                  d| j                  ›d|j
                  ›d�«       y y y ©Nr   zWycheproof warning: z (ú)©Úwarningr  ÚwarningsÚwarnr  Úcomment©r6   r  r4  s      r!   r5  zTestVectorsDSAWycheproof.warn¼  ó4   € Ø�:Š:˜$×3Ò3ÛØ�MŠM¸4¿8»8ÀRÇZÃZÐPÕQð 4ˆ:r#   c                 ó®  — dt        |j                  «      z   | _        |j                  j	                  |j
                  «      }t        j                  |j                  dd¬«      }	 |j                  ||j                  «      }|j                  sJ ‚| j                  |«       y # t        $ r)}|j                  rY d }~y |j                  rJ ‚Y d }~y d }~ww xY w)NzWycheproof DSA Test #rK   rj   ©Úencoding)rv   Úidr  r  r)   rx   r   r©   rP   r3  Úvalidr5  r_   r3  ©r6   r  rR   rS   rT   ry   s         r!   Útest_verifyz$TestVectorsDSAWycheproof.test_verifyÁ  sŸ   € Ø*¬S°·±«ZÑ7ˆŒà—^‘^×'Ñ'¨¯©Ó/ˆ
Ü—‘˜Ÿ™ ¸Ô>ˆð	ØŸ™ j°"·&±&Ó9ˆIð —8’8ˆO�8Ø�I‰I�b�Møô ò 	 Ø�zŠzÜØ—x’xÐ�<”xûð	 ús   Á&B" Â"	CÂ+CÂ<CÃCc                 óH   — | j                   D ]  }| j                  |«       Œ y r;   ©r  r?  ©r6   r  s     r!   ÚrunTestz TestVectorsDSAWycheproof.runTestÐ  ó#   € Ø—'‘'ò 	!ˆBØ×Ñ˜RÕ ñ	!r#   N)	r?   r@   rA   r9   r'  rG   r5  r?  rC  rB   r#   r!   r  r  š  s!   „ òòò,òRò
ó!r#   r  c                   ó6   — e Zd Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z	y)	ÚTestVectorsECDSAWycheproofc                 ól   — t         j                  j                  | «       || _        || _        d| _        y r  )r
  r  r9   r  r  r  r  s      r!   r9   z#TestVectorsECDSAWycheproof.__init__×  s-   € Ü×Ñ×"Ñ" 4Ô(Ø$7ˆÔ!Ø%ˆÔØˆ�r#   c           	      ól   — d„ }d„ }d„ }t        d|d|z  |||dœ¬«      }| xj                  |z  c_        y )Nc                 óH   — | d   d   dv ry t        j                  | d   «      S )Nr©   r¢   )Ú	secp224k1Ú	secp256k1ÚbrainpoolP224r1ÚbrainpoolP224t1ÚbrainpoolP256r1ÚbrainpoolP256t1ÚbrainpoolP320r1ÚbrainpoolP320t1ÚbrainpoolP384r1ÚbrainpoolP384t1ÚbrainpoolP512r1ÚbrainpoolP512t1r  )r   r  r  s    r!   Ú
filter_eccz8TestVectorsECDSAWycheproof.add_tests.<locals>.filter_eccß  s0   € à�U‰|˜GÑ$ð )+ñ +ð Ü—>‘> %¨¡/Ó2Ð2r#   c                 ó   — t        | d   «      S r  r  r  s    r!   r  z8TestVectorsECDSAWycheproof.add_tests.<locals>.filter_shaë  r  r#   c                 ó@   — | d   }|dk(  ry|dk(  ryt        d|z   «      ‚)Nr!  ÚEcdsaVerifyrj   ÚEcdsaP1363VerifyÚbinaryr#  r$  )r  Úencoding_names     r!   Úfilter_encodingz=TestVectorsECDSAWycheproof.add_tests.<locals>.filter_encodingî  s3   € Ø! &™MˆMØ Ò-ØØÐ"4Ò4Øä Ð!:¸]Ñ!JÓKÐKr#   r'  zWycheproof ECDSA signature (%s))r©   r  r;  r)  r+  )r6   ÚfilenamerV  r  r]  r†   s         r!   Ú	add_testsz$TestVectorsECDSAWycheproof.add_testsÝ  sK   € ò
	3ò	1ò	Lô .Ð.IØ.6Ø.OÐRZÑ.ZØ@JØHRØETñ9;ô<ˆð 	�Š�6ÑŽr#   c                 óÎ  — g | _         | j                  d«       | j                  d«       | j                  rÌ| j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  d	«       | j                  d
«       | j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  rU| j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  r"| j                  d«       | j                  d«       | j                  d«       | j                  d«       | j                  d«       y )Nz&ecdsa_secp224r1_sha224_p1363_test.jsonz ecdsa_secp224r1_sha224_test.jsonz&ecdsa_secp224r1_sha256_p1363_test.jsonz ecdsa_secp224r1_sha256_test.jsonz"ecdsa_secp224r1_sha3_224_test.jsonz"ecdsa_secp224r1_sha3_256_test.jsonz"ecdsa_secp224r1_sha3_512_test.jsonz&ecdsa_secp224r1_sha512_p1363_test.jsonz ecdsa_secp224r1_sha512_test.jsonz&ecdsa_secp256r1_sha256_p1363_test.jsonz ecdsa_secp256r1_sha256_test.jsonz"ecdsa_secp256r1_sha3_256_test.jsonz"ecdsa_secp256r1_sha3_512_test.jsonz&ecdsa_secp256r1_sha512_p1363_test.jsonz ecdsa_secp256r1_sha512_test.jsonz"ecdsa_secp384r1_sha3_384_test.jsonz"ecdsa_secp384r1_sha3_512_test.jsonz&ecdsa_secp384r1_sha384_p1363_test.jsonz ecdsa_secp384r1_sha384_test.jsonz&ecdsa_secp384r1_sha512_p1363_test.jsonz ecdsa_secp384r1_sha512_test.jsonz"ecdsa_secp521r1_sha3_512_test.jsonz&ecdsa_secp521r1_sha512_p1363_test.jsonz ecdsa_secp521r1_sha512_test.jsonzecdsa_test.jsonzecdsa_webcrypto_test.json)r  r_  r  rF   s    r!   r'  z TestVectorsECDSAWycheproof.setUp   sv  € ØˆŒØ�‰Ð?Ô@Ø�‰Ð9Ô:Ø×ÒØ�N‰NÐCÔDØ�N‰NÐ=Ô>Ø�N‰NÐ?Ô@Ø�N‰NÐ?Ô@Ø�N‰NÐ?Ô@Ø�N‰NÐCÔDØ�N‰NÐ=Ô>Ø�N‰NÐCÔDØ�N‰NÐ=Ô>Ø�N‰NÐ?Ô@Ø�N‰NÐ?Ô@Ø�N‰NÐCÔDØ�‰Ð9Ô:Ø×ÒØ�N‰NÐ?Ô@Ø�N‰NÐ?Ô@Ø�N‰NÐCÔDØ�N‰NÐ=Ô>Ø�N‰NÐCÔDØ�‰Ð9Ô:Ø×ÒØ�N‰NÐ?Ô@Ø�N‰NÐCÔDØ�‰Ð9Ô:Ø�‰Ð(Ô)Ø�‰Ð2Õ3r#   c                 ó   — | j                   S r;   r-  rF   s    r!   rG   z+TestVectorsECDSAWycheproof.shortDescription   r.  r#   c                 ó˜   — |j                   r>| j                  r1dd l}|j                  d| j                  ›d|j
                  ›d�«       y y y r0  r2  r7  s      r!   r5  zTestVectorsECDSAWycheproof.warn#  r8  r#   c                 ó   — d|j                   |j                  |j                  fz  | _        |j                  €y |j
                  j                  |j                  «      }t        j                  |j                  d|j                  ¬«      }	 |j                  ||j                  «      }|j                  sJ ‚| j                  |«       y # t        $ r=}|j                  rY d }~y |j                  dk(  rY d }~y |j                  rJ ‚Y d }~y d }~ww xY w)Nz"Wycheproof ECDSA Test #%d (%s, %s)rK   r:  zk*G has a large x-coordinate)r<  r6  r^  r  r©   r  r)   rx   r   r;  rP   r3  r=  r5  r_   r3  r>  s         r!   r?  z&TestVectorsECDSAWycheproof.test_verify(  sÌ   € Ø7¸2¿5¹5À"Ç*Á*ÈbÏkÉkÐ:ZÑZˆŒð �6‰6ˆ>Øà—^‘^×'Ñ'¨¯©Ó/ˆ
Ü—‘˜Ÿ™ ¸¿¹ÔDˆð
	ØŸ™ j°"·&±&Ó9ˆIð —8’8ˆO�8Ø�I‰I�b�Møô ò 	 Ø�zŠzÜØ�z‰zÐ;Ò;ÜØ—x’xÐ�<”xûð	 ús$   ÂC Ã	DÃDÃ!DÃ5DÄDc                 óH   — | j                   D ]  }| j                  |«       Œ y r;   rA  rB  s     r!   rC  z"TestVectorsECDSAWycheproof.runTest=  rD  r#   N)
r?   r@   rA   r9   r_  r'  rG   r5  r?  rC  rB   r#   r!   rF  rF  Õ  s(   „ òò!òF4ò@òRò
ó*!r#   rF  c                 ój  — | j                  d«      }g }|t        t        «      z  }|t        t        «      z  }|t        t        «      z  }|t        t
        «      z  }| j                  d«      }|r$|t        t        «      z  }|t        t        «      z  }|t        ||«      gz  }|t        ||«      gz  }|S )Nr  r  )
Úgetr   rD   rŸ   rÍ   r7  r‚   r°   r  rF  )Úconfigr  Útestsr  s       r!   Ú	get_testsri  B  s¶   € Ø Ÿ*™*Ð%:Ó;Ðà€EØ	Œ_œ^Ó,Ñ,€EØ	Œ_Ô-Ó.Ñ.€EØ	Œ_œ]Ó+Ñ+€EØ	Œ_œ_Ó-Ñ-€Eà—‘˜LÓ)€JÙØ”Ô!3Ó4Ñ4ˆØ”Ô!5Ó6Ñ6ˆà	Ô&Ð':¸JÓGÐHÑH€EØ	Ô(Ð)<¸jÓIÐJÑJ€Eà€Lr#   Ú__main__c                  ó<   — t        j                  t        «       «      S r;   )r
  Ú	TestSuiteri  rB   r#   r!   Úsuiterm  W  s   € Ü×!Ñ!¤)£+Ó.Ð.r#   rm  )ÚdefaultTest)aÚrer
  Úbinasciir   r   ÚCrypto.Util.py3compatr   r   r   r\   r   r	   r
   r   r   r   r   r   r   ÚCrypto.Signaturer   ÚCrypto.PublicKeyr   r   ÚCrypto.SelfTest.st_commonr   ÚCrypto.SelfTest.loaderr   r   ÚCrypto.Util.numberr   r   r"   r'   r.   r0   r  rD   r‚   Útest_vectors_verifyÚ	enumerateÚidxr  Ú
isinstancerv   ÚmatchÚresr  r   r-   r  ÚhasattrrŽ   Úmodulusr2  Ú	generatorr.  Úsuborderr)   rx   r`   r  Úcompsr€   r©   rU   r"  r#  r’   r–   r†   ÚsetattrÚtest_vectors_signr‰   Ú	comps_dsar  rS   rœ   rŸ   r°   Ú
curve_namerÂ   r¸   r¹   Úecc_keyÚ
startswithrÇ   rË   rÍ   r7  r  r  rF  ri  r?   rm  Úmainrˆ   s   0r!   ú<module>r‰     sâ  ðóD 
Û ß 'ç 5Ñ 5÷A÷ Aõ Aå  ß %Ý 5ß Rß ;ò"ò
ò
P÷ñ ôK8�X×&Ñ&ô K8ô\	˜×*Ñ*ô 	ñ (Ð(<Ø(?Ø(FØ)1±;Ð(?óAò Gð EGð ñ
 Ð,Ó-ó T�G€Cˆá�"�cÔØˆb�h‰hÐKÈRÓPˆÙˆˆsØ—I‘I˜a“L×(Ñ(¨¨bÓ1ˆ	Ù'¨	Ó2ˆØáˆr�3ÔØ—$‘$ˆØ—D‘Dˆ	Ø—4‘4ˆØà�‰˜rŸv™vÓ&€Hà(*¯©¨i¸À(Ð'KÖL !‰]˜1ÕÒL€EØ
ˆ#�-‰-˜˜uÓ
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‡y�y�CÒÙÐ"Ð$=ÀÑ$CÀ]ÖSáÐ"Ð$=ÀÑ$CÀ]ÖSð=TñB &Ð&:Ø(?Ø(BØ(*ó,ò 2ð 02ð ñ
 Ð*Ó+ó @�G€Cˆá�"�cÔØˆb�h‰hÐKÈRÓPˆÙˆˆsØ—I‘I˜a“L×(Ñ(¨¨bÓ1ˆ	Ù'¨	Ó2ˆØáˆr�3ÔØ—$‘$ˆØ—D‘Dˆ	Ø—4‘4ˆØà�‰˜rŸv™vÓ&€HØ,.¯D©D°)¸WÀhÐPR×PTÑPTÐ+UÖV a‘˜qÕ!ÒV€IØ
ˆ#�-‰-˜	 5Ó
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ˆsØ—Y‘Y˜q“\ˆ
Ø—I‘I˜a“L×(Ñ(¨¨bÓ1ˆ	ØÐ2Ñ2Ø   �~ˆHØ! # 2˜‰IàˆHÙ'¨	Ó2ˆØàÐØ—?‘? 2§6¡6Ó*‰à—?‘? 2§6¡6°H�?Ó=ˆØˆc�m‰m *°b·e±eÀRÇUÁUÔK€GØˆs�w‰w�w Ó-€Hà%-¸ÈBÏDÉDÐQS×QUÑQUÉIó -ð &.¸ÈBÏDÉDÐQS×QUÑQUÉIó Lð 
‡y�y×Ñ˜CÔ ÙÐ$Ð&?À#Ñ&EÀ}ÖUáÐ$Ð&?À#Ñ&EÀ}ÖUð?VñD &Ð&<Ø(4Ø(LØ),Ñ.BÐ(CóEò Kð IKð ñ
 Ð*Ó+ò C�G€Cˆá�"�cÔØˆb�h‰hÐ5°rÓ:ˆÙˆ
ˆsØ—Y‘Y˜q“\ˆ
Ø—I‘I˜a“L×(Ñ(¨¨bÓ1ˆ	Ù'¨	Ó2ˆØà�‰˜rŸv™vÓ&€HØˆc�m‰m *°·±Ô5€GØˆS�W‰W�W˜l±V¸B¿D¹D³\ÔB€Fà%°ÀBÇDÁDÈÏÉÁIó ;áÐ  .°3Ñ"6¸	ÕBð!Cô&U1�H×%Ñ%ô U1ôpf,�h×'Ñ'ô f,òRô88!˜x×0Ñ0ô 8!ôvj! ×!2Ñ!2ô j!ðZ ó ð( ˆzÒò/à€H‡M�M˜gÖ&ð ùòC% MùòJ Ws   ÅZ ËZ