
    z	i                    P   S r 0 SS_SS_SS_SS_SS_SS_SS_S	S_S
S_SS_SS_SS_SS_SS_SS_SS_SS_0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SSSS._S SSSSS!._S"SSSS#._S$S_S%S_S&S_S'SSS._E0 S(S_S)S_S*S_S+S_S,S_S-SSS._S.S_S/S_S0S_S1S_S2S_S3S_S4S_S5S_S6S_S7S_S8SSS._E0 S9S_S:S_S;S_S<SSS._S=SSSSS!._S>SSSS#._S?S_S@S_SAS_SBSSS._SCS_SDS_SES_SFS_SGS_SHSSS._SIS_E0 SJS_SKS_SLS_SMS_SNS_SOS_SPS_SQS_SRS_SSS_STS_SUSSS._SVSSSSSSSW._SX0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_SkSSSSSSSSSSSSSl._SmS_SnSSSSSSSSSSSSSl._E0 SoSSSSSSSW._SpSSSSSSSW._SqSSSSSSSW._SrSSSSSSSSSSSSSl._SsSSSSSSSSSSSSSl._St0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_SuSSSSSSSW._SvSSSSSSSW._SwS_SxS_SySSSSSSSW._SzS_S{SSSSSSSW._S|SSSSSSSW._S}0 S~S_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_GS S_GSS_GSS_GSS_GSS_GSS_E0 GSS_GSS_GSS_GS	S_GS
S_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GS S_GS!S_GS"S_GS#S_GS$S_GS%S_GS&S_GS'S_E0 GS(S_GS)S_GS*S_GS+S_GS,S_GS-S_GS.S_GS/S_GS0S_GS1S_GS2S_GS3S_GS4S_GS5S_GS6S_GS7S_GS8S_E0 GS9S_GS:S_GS;S_GS<S_GS=S_GS>S_GS?S_GS@S_GSAS_GSBS_GSCS_GSDS_GSES_GSFS_GSGS_GSHS_GSIS_ESSSSGSJ.E_GSK0 S~S_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_GS S_GSS_GSS_GSS_GSS_GSS_E0 GSS_GSS_GSS_GS	S_GS
S_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GS S_GS!S_GS"S_GS#S_GS$S_GS%S_GS&S_GS'S_E0 GS(S_GS)S_GS*S_GS+S_GS,S_GS-S_GS.S_GS/S_GS0S_GS1S_GS2S_GS3S_GS4S_GS5S_GS6S_GS7S_GS8S_E0 GS9S_GS:S_GS;S_GS<S_GS=S_GS>S_GS?S_GS@S_GSAS_GSBS_GSCS_GSDS_GSES_GSFS_GSGS_GSHS_GSIS_ESSSSGSJ.E_GSL0 GSMS_GSNS_GSOS_GSPS_GSQS_GSRS_GSSS_GSTS_GSUS_GSVS_GSWS_GSXS_GSYS_GSZS_GS[S_GS\S_GS]S_0 GS^S_GS_S_GS`S_GSaS_GSbS_GScS_GSdS_GSeS_GSfS_GSgS_GShS_GSiS_GSjS_GSkS_GSlS_GSmS_GSnS_E0 GSoS_GSpS_GSqS_GSrS_GSsS_GStS_GSuS_GSvS_GSwS_GSxS_GSyS_GSzS_GS{S_GS|S_GS}S_GS~S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_ESSSSGS.E_E0 GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GS0 GSMS_GSNS_GSOS_GSPS_GSQS_GSRS_GSSS_GSTS_GSUS_GSVS_GSWS_GSXS_GSYS_GSZS_GS[S_GS\S_GS]S_0 GS^S_GS_S_GS`S_GSaS_GSbS_GScS_GSdS_GSeS_GSfS_GSgS_GShS_GSiS_GSjS_GSkS_GSlS_GSmS_GSnS_E0 GSoS_GSpS_GSqS_GSrS_GSsS_GStS_GSuS_GSvS_GSwS_GSxS_GSyS_GSzS_GS{S_GS|S_GS}S_GS~S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_ESSSSGS.E_GSS_GSS_GSSSSSSSSW._GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E0 GSS_GSS_GSS_GSSSSSSSSW._GS0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_GSSSSSSSSSSSSSSl._GSS_GSSSSSSSSW._GSSSSSSSSSSSSSSl._GSSSSSSSSW._GSSSSSSSSW._GSSSSSSSSW._GSSSSSSSSSSSSSSl._GSSSSSSSSSSSSSSl._GS0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_GSS_GSSSSSSSSW._E0 GSSSSSSSSW._GSS_GSS_GSS_GSS_GSSSSSSSSW._GSSSSSSSSW._GS0 GSMS_GSNS_GSOS_GSPS_GSQS_GSRS_GSSS_GSTS_GSUS_GSVS_GSWS_GSXS_GSYS_GSZS_GS[S_GS\S_GS]S_0 GS^S_GS_S_GS`S_GSaS_GSbS_GScS_GSdS_GSeS_GSfS_GSgS_GShS_GSiS_GSjS_GSkS_GSlS_GSmS_GSnS_E0 GSoS_GSpS_GSqS_GSrS_GSsS_GStS_GSuS_GSvS_GSwS_GSxS_GSyS_GSzS_GS{S_GS|S_GS}S_GS~S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_ESSSSGS.E_GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GS0 GSMS_GSNS_GSOS_GSPS_GSQS_GSRS_GSSS_GSTS_GSUS_GSVS_GSWS_GSXS_GSYS_GSZS_GS[S_GS\S_GS]S_0 GS^S_GS_S_GS`S_GSaS_GSbS_GScS_GSdS_GSeS_GSfS_GSgS_GShS_GSiS_GSjS_GSkS_GSlS_GSmS_GSnS_E0 GSoS_GSpS_GSqS_GSrS_GSsS_GStS_GSuS_GSvS_GSwS_GSxS_GSyS_GSzS_GS{S_GS|S_GS}S_GS~S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_ESSSSGS.E_GS0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_GSSSSSSSSSSSSSSl._GSS_GSSSSSSSSSSSSSSl._GSSSSSSSSW._GSSSSSSSSSSSSSSl._GSSSSSSSSSSSSSSl._E0 GS0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_GSSSSSSSSW._GSSSSSSSSW._GSS_GSS_GSSSSSSSSW._GSS_GSSSSSSSSW._GSSSSSSSSW._GS0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_GSSSSSSSSSSSSSSl._GSS_GSSSSSSSSSSSSSSl._GSSSSSSSSW._GSSSSSSSSW._GSSSSSSSSW._GSSSSSSSSSSSSSSl._E0 GSSSSSSSSSSSSSSl._GS0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_GSS_GSSSSSSSSW._GSS_GSS_GSS_GSSSSSSSSW._GSSSSSSSSW._GSSSSSSSSW._GS0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_GSSSSSSSSSSSSSSl._GSS_GSSSSSSSSSSSSSSl._GSSSSSSSSW._GSS_GSS_E0 GSSSSSSSSSSSSSSl._GS0 SYS_SZS_S[S_S\S_S]S_S^S_S_S_S`S_SaS_SbS_ScS_SdS_SeS_SfS_SgS_ShS_SiS_SSSSj.E_GSS_GSS_GSSSSSSSSW._GSSSSSSSSW._GSS_GSS_GSS_GSSSSSSSSW._GS0 GSMS_GSNS_GSOS_GSPS_GSQS_GSRS_GSSS_GSTS_GSUS_GSVS_GSWS_GSXS_GSYS_GSZS_GS[S_GS\S_GS]S_0 GS^S_GS_S_GS`S_GSaS_GSbS_GScS_GSdS_GSeS_GSfS_GSgS_GShS_GSiS_GSjS_GSkS_GSlS_GSmS_GSnS_E0 GSoS_GSpS_GSqS_GSrS_GSsS_GStS_GSuS_GSvS_GSwS_GSxS_GSyS_GSzS_GS{S_GS|S_GS}S_GS~S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_ESSSSGS.E_GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GSS_GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GS0 GSMS_GSNS_GSOS_GSPS_GSQS_GSRS_GSSS_GSTS_GSUS_GSVS_GSWS_GSXS_GSYS_GSZS_GS[S_GS\S_GS]S_0 GS^S_GS_S_GS`S_GSaS_GSbS_GScS_GSdS_GSeS_GSfS_GSgS_GShS_GSiS_GSjS_GSkS_GSlS_GSmS_GSnS_E0 GSoS_GSpS_GSqS_GSrS_GSsS_GStS_GSuS_GSvS_GSwS_GSxS_GSyS_GSzS_GS{S_GS|S_GS}S_GS~S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_ESSSSGS.E_GSS_GSS_E0 GSS_GSS_GSS_GSS_GSS_GS SSS._GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GS	S_GS
S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GS0 GSMS_GSNS_GSOS_GSPS_GSQS_GSRS_GSSS_GSTS_GSUS_GSVS_GSWS_GSXS_GSYS_GSZS_GS[S_GS\S_GS]S_0 GS^S_GS_S_GS`S_GSaS_GSbS_GScS_GSdS_GSeS_GSfS_GSgS_GShS_GSiS_GSjS_GSkS_GSlS_GSmS_GSnS_E0 GSoS_GSpS_GSqS_GSrS_GSsS_GStS_GSuS_GSvS_GSwS_GSxS_GSyS_GSzS_GS{S_GS|S_GS}S_GS~S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_ESSSSGS.E_GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GS0 GSMS_GSOS_GSPS_GSRS_GSVS_GSWS_GSYS_GSZS_GS\S_GS]S_GS_S_GScS_GSdS_GSfS_GSgS_GSiS_GSjS_0 GSlS_GSpS_GSqS_GSsS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_E_GS0 GSMS_GSNS_GSOS_GSPS_GSQS_GSRS_GSSS_GSTS_GSUS_GSVS_GSWS_GSXS_GSYS_GSZS_GS[S_GS\S_GS]S_0 GS^S_GS_S_GS`S_GSaS_GSbS_GScS_GSdS_GSeS_GSfS_GSgS_GShS_GSiS_GSjS_GSkS_GSlS_GSmS_GSnS_E0 GSoS_GSpS_GSqS_GSrS_GSsS_GStS_GSuS_GSvS_GSwS_GSxS_GSyS_GSzS_GS{S_GS|S_GS}S_GS~S_GSS_E0 GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_GSS_ESSSSGS.E_E0 GS0 S~S_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_E0 SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_SS_GS S_GSS_GSS_GSS_GSS_GSS_E0 GSS_GSS_GSS_GS	S_GS
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is defined by a pair of gates and, optionally, their relative placement to each other, i.e.:

   ┌───┐┌───┐
q: ┤ X ├┤ Z ├    -> standard_gates_commutations["x", "z"] = False
   └───┘└───┘

or
          ┌───┐
q_0: ──■──┤ X ├
     ┌─┴─┐└─┬─┘  -> standard_gates_commutations["cx", "cy"][1, 0] = False
q_1: ┤ Y ├──■──
     └───┘

or

q_0: ──■───────
     ┌─┴─┐
q_1: ┤ X ├──■──  -> standard_gates_commutations['cx', 'cx'][None, 0] = False
     └───┘┌─┴─┐
q_2: ─────┤ X ├
          └───┘
Note that the commutation of a pair of gates is only stored in one specific order, i.e. the commutation
of a pair of cy and cx gates is only stored in standard_gates_commutations["cx", "cy"]. The order of the
gates is derived from the number of qubits in each gate and the value of the integer representation of
the gate name.

The values of standard_gates_commutations can be a Boolean value denoting whether the pair of gates
commute or another dictionary if the relative placement of the pair of gates has an impact on the
commutation. The relative placement is defined by the gate qubit arrangements as q2^{-1}[q1[i]] where
q1[i] is the ith qubit of the first gate and q2^{-1}[q] returns the qubit index of qubit q in the second
gate (possibly 'None'). In the second example, the zeroth qubit of cy overlaps with qubit 1 of cx. Non-
overlapping qubits are specified as 'None' in the dictionary key, e.g. example 3, there is no overlap
on the zeroth qubit of the first cx but the zeroth qubit of the second gate overlaps with qubit 1 of the
first cx.
)idr   T)r   sx)r   cx)r   c3sx)r   ccx)r   dcx)r   ch)r   cswap)r   csx)r   cy)r   cz)r   ccz)r   rccx)r   rcccx)r   ecr)r   sdg)r   cs)r   csdg)r   swap)r   iswap)r   sxdg)r   tdg)r   rxx)r   ryy)r   rzz)r   rzx)r   r   )r   r   F)       )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   )xr   )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#   y)r#   z)r#   r   )r#   r   )r#   r   )r#   r   )r   r   )r   r   r   Nr   r   r   NNr   Nr   )r   r   r&   r   r!   )r   r"   r'   r(   r   r!   )r   r"   r)   r!   r   r!   r   )r!   r"   r!   N)r"   r   )r"   r   )r"   r!   )r"   Nr*   )r+   Nr!   )Nr"   )r   r   )r&   r,   r'   r(   r-   r)   r.   r/   r0   r*   r+   r1   )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!   N)r   r   r"   r!   )r   r   r"   N)r   r   Nr!   )r   r   Nr"   )r   r   NN)r   r!   r   r"   )r   r!   r   N)r   r!   r"   r   )r   r!   r"   N)r   r!   Nr   )r   r!   Nr"   )r   r!   NN)r   r"   r   r!   )r   r"   r   N)r   r"   r!   r   )r   r"   r!   N)r   r"   Nr   )r   r"   Nr!   )r   r"   NN)r   Nr   r!   )r   Nr   r"   )r   Nr   N)r   Nr!   r   )r   Nr!   r"   )r   Nr!   N)r   Nr"   r   )r   Nr"   r!   )r   Nr"   N)r   NNr   )r   NNr!   )r   NNr"   )r   NNN)r   r   r!   r"   )r   r   r!   N)r   r   r"   r!   )r   r   r"   N)r   r   Nr!   )r   r   Nr"   )r   r   NN)r   r!   r   r"   )r   r!   r   N)r   r!   r"   r   )r   r!   r"   N)r   r!   Nr   )r   r!   Nr"   )r   r!   NN)r   r"   r   r!   )r   r"   r   N)r   r"   r!   r   )r   r"   r!   N)r   r"   Nr   )r   r"   Nr!   )r   r"   NN)r   Nr   r!   )r   Nr   r"   )r   Nr   N)r   Nr!   r   )r   Nr!   r"   )r   Nr!   N)r   Nr"   r   )r   Nr"   r!   )r   Nr"   N)r   NNr   )r   NNr!   )r   NNr"   )r   NNN)r!   r   r   r"   )r!   r   r   N)r!   r   r"   r   )r!   r   r"   N)r!   r   Nr   )r!   r   Nr"   )r!   r   NN)r!   r   r   r"   )r!   r   r   N)r!   r   r"   r   )r!   r   r"   N)r!   r   Nr   )r!   r   Nr"   )r!   r   NN)r!   r"   r   r   )r!   r"   r   N)r!   r"   r   r   )r!   r"   r   N)r!   r"   Nr   )r!   r"   Nr   )r!   r"   NN)r!   Nr   r   )r!   Nr   r"   )r!   Nr   N)r!   Nr   r   )r!   Nr   r"   )r!   Nr   N)r!   Nr"   r   )r!   Nr"   r   )r!   Nr"   N)r!   NNr   )r!   NNr   )r!   NNr"   )r!   NNN)r"   r   r   r!   )r"   r   r   N)r"   r   r!   r   )r"   r   r!   N)r"   r   Nr   )r"   r   Nr!   )r"   r   NN)r"   r   r   r!   )r"   r   r   N)r"   r   r!   r   )r"   r   r!   N)r"   r   Nr   )r"   r   Nr!   )r"   r   NN)r"   r!   r   r   )r"   r!   r   N)r"   r!   r   r   )r"   r!   r   N)r"   r!   Nr   )r"   r!   Nr   )r"   r!   NN)r"   Nr   r   )r"   Nr   r!   )r"   Nr   N)r"   Nr   r   )r"   Nr   r!   )r"   Nr   N)r"   Nr!   r   )r"   Nr!   r   )r"   Nr!   N)r"   NNr   )r"   NNr   )r"   NNr!   )r"   NNN)Nr   r   r!   )Nr   r   r"   )Nr   r   N)Nr   r!   r   )Nr   r!   r"   )Nr   r!   N)Nr   r"   r   )Nr   r"   r!   )Nr   r"   N)Nr   Nr   )Nr   Nr!   )Nr   Nr"   )Nr   NN)Nr   r   r!   )Nr   r   r"   )Nr   r   N)Nr   r!   r   )Nr   r!   r"   )Nr   r!   N)Nr   r"   r   )Nr   r"   r!   )Nr   r"   N)Nr   Nr   )Nr   Nr!   )Nr   Nr"   )Nr   NN)Nr!   r   r   )Nr!   r   r"   )Nr!   r   N)Nr!   r   r   )Nr!   r   r"   )Nr!   r   N)Nr!   r"   r   )Nr!   r"   r   )Nr!   r"   N)Nr!   Nr   )Nr!   Nr   )Nr!   Nr"   )Nr!   NN)Nr"   r   r   )Nr"   r   r!   )Nr"   r   N)Nr"   r   r   )Nr"   r   r!   )Nr"   r   N)Nr"   r!   r   )Nr"   r!   r   )Nr"   r!   N)Nr"   Nr   )Nr"   Nr   )Nr"   Nr!   )Nr"   NN)NNr   r   )NNr   r!   )NNr   r"   )NNr   N)NNr   r   )NNr   r!   )NNr   r"   )NNr   N)NNr!   r   )NNr!   r   )NNr!   r"   )NNr!   N)NNr"   r   )NNr"   r   )NNr"   r!   )NNr"   N))NNNr   )NNNr   )NNNr!   )NNNr"   )r   r   )r   r   )r   r   r!   )r   r   r"   )r   r   N)r   r!   r   )r   r!   r"   )r   r!   N)r   r"   r   )r   r"   r!   )r   r"   N)r   Nr   )r   Nr!   )r   Nr"   )r   NN)r   r   r!   )r   r   r"   )r   r   N)r   r!   r   )r   r!   r"   )r   r!   N)r   r"   r   )r   r"   r!   )r   r"   N)r   Nr   )r   Nr!   )r   Nr"   )r   NN)r!   r   r   )r!   r   r"   )r!   r   N)r!   r   r   )r!   r   r"   )r!   r   N)r!   r"   r   )r!   r"   r   )r!   r"   N)r!   Nr   )r!   Nr   )r!   Nr"   )r!   NN)r"   r   r   )r"   r   r!   )r"   r   N)r"   r   r   )r"   r   r!   )r"   r   N)r"   r!   r   )r"   r!   r   )r"   r!   N)r"   Nr   )r"   Nr   )r"   Nr!   )r"   NN)Nr   r   )Nr   r!   )Nr   r"   )Nr   N)Nr   r   )Nr   r!   )Nr   r"   )Nr   N)Nr!   r   )Nr!   r   )Nr!   r"   )Nr!   N)Nr"   r   )Nr"   r   )Nr"   r!   )Nr"   N)NNr   NNr   NNr!   )NNr"   )r   r   r2   r3   r4   )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	   )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   )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   )hr   )r5   r   )r5   r#   )r5   r   )r5   r   )r5   r   )r5   r   )r5   r   )r5   r	   )r5   r
   )r5   r   )r5   r   )r5   r   )r5   r5   )r5   r   )r5   r   )r5   r   )r5   s)r5   r   )r5   r   )r5   r   )r5   r   )r5   r   )r5   r   )r5   t)r5   r   )r5   r$   )r5   r%   )r5   r   )r5   r   )r5   r   )r5   r   )r   r   )r   r	   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r	   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r6   r   )r6   r   )r6   r#   )r6   r   )r6   r   )r6   r   )r6   r   )r6   r   )r6   r	   )r6   r
   )r6   r   )r6   r   )r6   r   )r6   r   )r6   r   )r6   r   )r6   r6   )r6   r   )r6   r   )r6   r   )r6   r   )r6   r   )r6   r   )r6   r7   )r6   r   )r6   r$   )r6   r%   )r6   r   )r6   r   )r6   r   )r6   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   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   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r7   r   )r7   r   )r7   r#   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r	   )r7   r
   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r   )r7   r7   )r7   r   )r7   r$   )r7   r%   )r7   r   )r7   r   )r7   r   )r7   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r	   )r   r
   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r   r   )r$   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$   r   )r$   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   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   N)__doc__standard_gates_commutations     e/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/_standard_gates_commutations.py<module>r=      s  #LV;$V;$V; $V; D	V;
 4V; 4V; $V; TV; 4V; $V; $V; 4V; DV; TV; 4V;  4!V;" $#V;$ D%V;& D'V;( T)V;* D+V;, 4-V;. 4/V;0 41V;2 43V;4 45V;6 $7V;8 9V;@ 	AV;L MV;V 5WV;X %YV;Z U[V;\ ]V;d %eV;f %gV;h 5iV;j EkV;l UmV;n oV;v 5wV;x %yV;z E{V;| E}V;~ UV;@ DAV;B 5CV;D 4EV;F 5GV;H 5IV;J KV;R SV;T UV;V WV;X YV;` 	aV;l mV;v %wV;x yV;z E{V;| }V;D EV;F GV;H %IV;J 5KV;L EMV;N OV;V %WV;X YV;Z 5[V;\ 5]V;^ E_V;` 4aV;b %cV;d eV;f gV;h $iV;j %kV;l %mV;n oV;v wV;F   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )GV;r sV;N 5OV;P QV;l mV;| }V;L MV;\ ]V;x yV;T   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )UV;@ AV;P QV;` EaV;b UcV;d eV;t 5uV;v wV;F	 G	V;V	  QdQQ 	eQ 		Q
 	Q 	Q 	DQ 	dQ 	Q 	eQ 	Q 	Q 	Q 	DQ 	eQ  	!Q" 	e#Q$ 	%Q& 	'Q( 	)Q* 	E+Q, 	-Q. 	/Q0 	D1Q2 	3Q4 	5Q6 	D7Q8 	9Q: 	;Q< 	E=Q> 	E?Q@ 	EAQB 	DCQD 	tEQF 	dGQH 	IQJ 	eKQL 	MQN 	OQP 	QQR 	DSQT 	dUQV 	WQX 	eYQZ 	[Q\ 	]Q^ 	_Q` 	DaQb 	ecQd 	eQf 	egQh 	iQj 	kQl 	mQn 	EoQp 	qQr 	sQt 	DuQv 	wQx 	yQz 	D{Q| 	}Q~ 	Q@ 	EAQB 	ECQD 	EEQF 	DGQH 	tIQJ 	dKQL 	MQN 	eOQP 	QQR 	SQT 	UQV 	DWQX 	dYQZ 	[Q\ 	e]Q^ 	_Q` 	aQb 	cQd 	DeQf 	egQh 	iQj 	ekQl 	mQn 	oQp 	qQr 	EsQt 	uQv 	wQx 	DyQz 	{Q| 	}Q~ 	DQ@ 	AQB 	CQD 	EEQF 	EGQH 	EIQJ 	DKQL 	tMQN 	eOQP 	QQR 	eSQT 	UQV 	WQX 	YQZ 	E[Q\ 	e]Q^ 	_Q` 	eaQb 	cQd 	eQf 	gQh 	EiQj 	ekQl 	mQn 	eoQp 	qQr 	sQt 	uQv 	EwQx 	yQz 	{Q| 	E}Q~ 	Q@ 	AQB 	ECQD 	EQF 	GQH 	EIQJ 	EKQL 	EMQN 	EOQP 	uQQR 	SQT 	UQV 	DWQX 	YQZ 	[Q\ 	D]Q^ 	_Q` 	aQb 	EcQd 	EeQf 	EgQh 	DiQj 	tkQl 	mQn 	oQp 	DqQr 	sQt 	uQv 	DwQx 	yQz 	{Q| 	E}Q~ 	EQ@ 	EAQB 	DCQD 	tEQF 	GQH 	IQJ 	DKQL 	MQN 	OQP 	DQQR 	SQT 	UQV 	EWQX 	EYQZ 	E[Q\ 	D]Q^ 	t_Q` 	aQb 	cQd 	EeQf 	gQh 	iQj 	EkQl 	mQn 	oQp 	EqQr 	EsQt 	EuQv 	EwQx 	uyQz 	E{Q| 	E}Q~ 	DQ@ 	tAQB 	ECQD 	EEQF 	DGQH 	tIQJ 	EKQL 	EMQN 	DOQP 	tQQR 	ESQT 	EUQV 	EWQX 	uYQZ  %$$#aQW	V;z  QeQQ 	eQ 		Q
 	Q 	Q 	DQ 	eQ 	Q 	eQ 	Q 	Q 	Q 	DQ 	eQ  	!Q" 	e#Q$ 	%Q& 	'Q( 	)Q* 	E+Q, 	-Q. 	/Q0 	D1Q2 	3Q4 	5Q6 	D7Q8 	9Q: 	;Q< 	E=Q> 	E?Q@ 	EAQB 	ECQD 	tEQF 	eGQH 	IQJ 	eKQL 	MQN 	OQP 	QQR 	DSQT 	eUQV 	WQX 	eYQZ 	[Q\ 	]Q^ 	_Q` 	DaQb 	ecQd 	eQf 	egQh 	iQj 	kQl 	mQn 	EoQp 	qQr 	sQt 	DuQv 	wQx 	yQz 	D{Q| 	}Q~ 	Q@ 	EAQB 	ECQD 	EEQF 	EGQH 	tIQJ 	eKQL 	MQN 	eOQP 	QQR 	SQT 	UQV 	DWQX 	eYQZ 	[Q\ 	e]Q^ 	_Q` 	aQb 	cQd 	DeQf 	egQh 	iQj 	ekQl 	mQn 	oQp 	qQr 	EsQt 	uQv 	wQx 	DyQz 	{Q| 	}Q~ 	DQ@ 	AQB 	CQD 	EEQF 	EGQH 	EIQJ 	EKQL 	tMQN 	eOQP 	QQR 	eSQT 	UQV 	WQX 	YQZ 	E[Q\ 	e]Q^ 	_Q` 	eaQb 	cQd 	eQf 	gQh 	EiQj 	ekQl 	mQn 	eoQp 	qQr 	sQt 	uQv 	EwQx 	yQz 	{Q| 	E}Q~ 	Q@ 	AQB 	ECQD 	EQF 	GQH 	EIQJ 	EKQL 	EMQN 	EOQP 	uQQR 	SQT 	UQV 	DWQX 	YQZ 	[Q\ 	D]Q^ 	_Q` 	aQb 	EcQd 	EeQf 	EgQh 	EiQj 	tkQl 	mQn 	oQp 	DqQr 	sQt 	uQv 	DwQx 	yQz 	{Q| 	E}Q~ 	EQ@ 	EAQB 	ECQD 	tEQF 	GQH 	IQJ 	DKQL 	MQN 	OQP 	DQQR 	SQT 	UQV 	EWQX 	EYQZ 	E[Q\ 	E]Q^ 	t_Q` 	aQb 	cQd 	EeQf 	gQh 	iQj 	EkQl 	mQn 	oQp 	EqQr 	EsQt 	EuQv 	EwQx 	uyQz 	E{Q| 	E}Q~ 	EQ@ 	tAQB 	ECQD 	EEQF 	EGQH 	tIQJ 	EKQL 	EMQN 	EOQP 	tQQR 	ESQT 	EUQV 	EWQX 	uYQZ  %$$$aQ{V;^  I5I4I 	dI 	5	I
 	4I 	dI 	5I 	5I 	eI 	eI 	eI 	dI 	I 	5I 	4I  	d!I" 	5#I$ 	4%I& 	d'I( 	5)I* 	5+I, 	e-I. 	e/I0 	e1I2 	d3I4 	5I6 	57I8 	49I: 	d;I< 	5=I> 	4?I@ 	dAIB 	5CID 	5EIF 	eGIH 	eIIJ 	eKIL 	dMIN 	OIP 	5QIR 	5SIT 	eUIV 	5WIX 	5YIZ 	e[I\ 	5]I^ 	5_I` 	eaIb 	ecId 	eeIf 	egIh 	iIj 	ekIl 	emIn 	doIp 	qIr 	esIt 	euIv 	dwIx 	yIz 	e{I| 	e}I~ 	dI@ 	AIB 	eCID 	eEIF 	eGIH 	IIJ QI_V;r  "4"d" 	5" 	e	"
 	e" 	d" 	" 	4" 	d" 	5" 	e" 	e" 	d" 	" 	5"  	e!"" 	5#"$ 	e%"& 	e'"( 	e)"* 	+", 	e-". 	d/"0 	1"2 	e3"4 	d5"6 	7"8 	e9": 	e;"< 	="> 	?"@ 	A"B 	C"sV;x  "5"e" 	5" 	e	"
 	e" 	e" 	" 	5" 	e" 	4" 	d" 	e" 	e" 	" 	5"  	e!"" 	4#"$ 	d%"& 	e'"( 	e)"* 	+", 	e-". 	e/"0 	1"2 	e3"4 	e5"6 	7"8 	e9": 	e;"< 	="> 	?"@ 	A"B 	C"yV;~  "5"d" 	5" 	d	"
 	e" 	e" 	" 	5" 	d" 	5" 	d" 	e" 	e" 	" 	5"  	d!"" 	5#"$ 	d%"& 	e'"( 	e)"* 	+", 	e-". 	e/"0 	1"2 	e3"4 	e5"6 	7"8 	e9": 	e;"< 	="> 	?"@ 	A"B 	C"V;D  "5"d" 	5" 	e	"
 	e" 	e" 	" 	5" 	d" 	5" 	e" 	e" 	e" 	" 	5"  	e!"" 	5#"$ 	e%"& 	e'"( 	e)"* 	+", 	e-". 	e/"0 	1"2 	e3"4 	e5"6 	7"8 	e9": 	e;"< 	="> 	?"@ 	A"B 	C"EV;J  I5I5I 	dI 	5	I
 	5I 	dI 	5I 	5I 	eI 	eI 	eI 	eI 	I 	5I 	5I  	d!I" 	5#I$ 	5%I& 	d'I( 	5)I* 	5+I, 	e-I. 	e/I0 	e1I2 	e3I4 	5I6 	57I8 	59I: 	d;I< 	5=I> 	5?I@ 	dAIB 	5CID 	5EIF 	eGIH 	eIIJ 	eKIL 	eMIN 	OIP 	5QIR 	5SIT 	eUIV 	5WIX 	5YIZ 	e[I\ 	5]I^ 	5_I` 	eaIb 	ecId 	eeIf 	egIh 	iIj 	ekIl 	emIn 	eoIp 	qIr 	esIt 	euIv 	ewIx 	yIz 	e{I| 	e}I~ 	eI@ 	AIB 	eCID 	eEIF 	eGIH 	IIJ QIKV;^ U_V;` EaV;b cV;r esV;t EuV;v UwV;x eyV;z E{V;| U}V;~ UV;@  eA V;B  EC V;D  EE V;F  EG V;H  EI V;J  K V;Z    	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )[ V;F! G!V;b! 5c!V;d! e!V;t! u!V;P" Q"V;`" a"V;p" q"V;@# A#V;\# ]#V;x#   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )y#V;d$ 5e$V;f$ g$V;v$ w$V;F% EG%V;H% UI%V;J% 5K%V;L% 5M%V;N% O%V;^% _%V;n%  I4I5I 	eI 	4	I
 	5I 	eI 	5I 	5I 	eI 	eI 	eI 	eI 	I 	4I 	5I  	e!I" 	4#I$ 	5%I& 	e'I( 	5)I* 	5+I, 	e-I. 	e/I0 	e1I2 	e3I4 	5I6 	47I8 	59I: 	e;I< 	4=I> 	5?I@ 	eAIB 	5CID 	5EIF 	eGIH 	eIIJ 	eKIL 	eMIN 	OIP 	4QIR 	4SIT 	eUIV 	4WIX 	4YIZ 	e[I\ 	4]I^ 	4_I` 	eaIb 	ecId 	eeIf 	egIh 	iIj 	dkIl 	dmIn 	eoIp 	qIr 	dsIt 	duIv 	ewIx 	yIz 	d{I| 	d}I~ 	eI@ 	AIB 	eCID 	eEIF 	eGIH 	IIJ QIo%V;B(  "4"e" 	4" 	e	"
 	e" 	e" 	" 	5" 	e" 	5" 	e" 	e" 	e" 	" 	5"  	e!"" 	5#"$ 	e%"& 	e'"( 	e)"* 	+", 	e-". 	e/"0 	1"2 	e3"4 	d5"6 	7"8 	e9": 	d;"< 	="> 	?"@ 	A"B 	C"C(V;H)  I5I5I 	eI 	5	I
 	5I 	eI 	5I 	5I 	eI 	eI 	eI 	eI 	I 	5I 	5I  	e!I" 	5#I$ 	5%I& 	e'I( 	5)I* 	5+I, 	e-I. 	e/I0 	e1I2 	e3I4 	5I6 	47I8 	59I: 	e;I< 	4=I> 	5?I@ 	eAIB 	5CID 	5EIF 	eGIH 	eIIJ 	eKIL 	eMIN 	OIP 	4QIR 	5SIT 	eUIV 	4WIX 	5YIZ 	e[I\ 	5]I^ 	5_I` 	eaIb 	ecId 	eeIf 	egIh 	iIj 	dkIl 	emIn 	eoIp 	qIr 	dsIt 	euIv 	ewIx 	yIz 	e{I| 	e}I~ 	eI@ 	AIB 	eCID 	eEIF 	eGIH 	IIJ QII)V;\+   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )]+V;H, I,V;d, Ee,V;f, g,V;B- C-V;R- S-V;n- o-V;J.   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )K.V;v. w.V;F/ G/V;V/ UW/V;X/ eY/V;Z/ [/V;j/ Ek/V;l/ m/V;|/ }/V;L0   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )M0V;x0 y0V;T1 5U1V;V1 W1V;r1 s1V;B2 C2V;R2 S2V;b2 c2V;~2 2V;Z3   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )[3V;F4 5G4V;H4 I4V;X4 EY4V;Z4 U[4V;\4 5]4V;^4 _4V;n4 o4V;~4 4V;N5   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	4#$ )O5V;z5 {5V;V6 5W6V;X6 Y6V;t6 u6V;D7 $E7V;F7 4G7V;H7 I7V;d7   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	4#$ )e7V;P8 5Q8V;R8 DS8V;T8 U8V;d8 e8V;t8 5u8V;v8 5w8V;x8 4y8V;z8 {8V;J9  I4I5I 	dI 	4	I
 	5I 	dI 	5I 	5I 	eI 	dI 	dI 	eI 	I 	4I 	5I  	d!I" 	4#I$ 	5%I& 	d'I( 	5)I* 	5+I, 	e-I. 	d/I0 	d1I2 	e3I4 	5I6 	47I8 	59I: 	d;I< 	4=I> 	5?I@ 	dAIB 	5CID 	5EIF 	eGIH 	dIIJ 	dKIL 	eMIN 	OIP 	5QIR 	5SIT 	eUIV 	5WIX 	5YIZ 	e[I\ 	5]I^ 	5_I` 	eaIb 	ecId 	eeIf 	egIh 	iIj 	dkIl 	dmIn 	eoIp 	qIr 	dsIt 	duIv 	ewIx 	yIz 	d{I| 	d}I~ 	eI@ 	AIB 	eCID 	eEIF 	eGIH 	IIJ QIK9V;^;  "4"e" 	4" 	e	"
 	e" 	e" 	" 	4" 	e" 	4" 	d" 	e" 	d" 	" 	4"  	e!"" 	4#"$ 	d%"& 	e'"( 	d)"* 	+", 	e-". 	e/"0 	1"2 	e3"4 	d5"6 	7"8 	e9": 	d;"< 	="> 	?"@ 	A"B 	C"_;V;d< De<V;f<  "5"d" 	5" 	e	"
 	d" 	e" 	" 	5" 	d" 	5" 	e" 	d" 	e" 	" 	5"  	e!"" 	5#"$ 	e%"& 	e'"( 	e)"* 	+", 	d-". 	e/"0 	1"2 	d3"4 	e5"6 	7"8 	e9": 	e;"< 	="> 	?"@ 	A"B 	C"g<V;l=  I4I5I 	dI 	4	I
 	5I 	dI 	5I 	5I 	eI 	dI 	dI 	eI 	I 	4I 	5I  	d!I" 	4#I$ 	5%I& 	d'I( 	5)I* 	5+I, 	e-I. 	d/I0 	d1I2 	e3I4 	5I6 	47I8 	59I: 	d;I< 	4=I> 	5?I@ 	dAIB 	5CID 	5EIF 	eGIH 	dIIJ 	dKIL 	eMIN 	OIP 	5QIR 	5SIT 	eUIV 	5WIX 	5YIZ 	e[I\ 	5]I^ 	5_I` 	eaIb 	ecId 	eeIf 	egIh 	iIj 	dkIl 	dmIn 	eoIp 	qIr 	dsIt 	duIv 	ewIx 	yIz 	d{I| 	d}I~ 	eI@ 	AIB 	eCID 	eEIF 	eGIH 	IIJ QIm=V;@@ A@V;B@ C@V;D@ E@V;F@ G@V;H@ 5I@V;J@ %K@V;L@ %M@V;N@ O@V;V@ EW@V;X@ %Y@V;Z@ [@V;\@ ]@V;^@ %_@V;`@ a@V;b@ 5c@V;d@ Ee@V;f@ %g@V;h@ i@V;j@ %k@V;l@ m@V;n@ 5o@V;p@ 5q@V;r@ Es@V;t@ 5u@V;v@ w@V;x@ %y@V;z@ {@V;|@ }@V;~@ %@V;@A %AAV;BA %CAV;DA %EAV;FA  I5I5I 	dI 	5	I
 	5I 	dI 	5I 	5I 	eI 	eI 	eI 	eI 	I 	5I 	5I  	d!I" 	5#I$ 	5%I& 	d'I( 	5)I* 	5+I, 	e-I. 	e/I0 	e1I2 	e3I4 	5I6 	57I8 	59I: 	d;I< 	5=I> 	5?I@ 	dAIB 	5CID 	5EIF 	eGIH 	eIIJ 	eKIL 	eMIN 	OIP 	5QIR 	5SIT 	eUIV 	5WIX 	5YIZ 	e[I\ 	5]I^ 	5_I` 	eaIb 	ecId 	eeIf 	egIh 	iIj 	ekIl 	emIn 	eoIp 	qIr 	esIt 	euIv 	ewIx 	yIz 	e{I| 	e}I~ 	eI@ 	AIB 	eCID 	eEIF 	eGIH 	IIJ QIGAV;ZC  "5"e" 	5" 	e	"
 	e" 	e" 	" 	5" 	e" 	5" 	e" 	e" 	e" 	" 	5"  	e!"" 	5#"$ 	e%"& 	e'"( 	e)"* 	+", 	e-". 	e/"0 	1"2 	e3"4 	e5"6 	7"8 	e9": 	e;"< 	="> 	?"@ 	A"B 	C"[CV;`D  "4"d" 	5" 	e	"
 	e" 	e" 	" 	4" 	d" 	5" 	e" 	e" 	e" 	" 	5"  	e!"" 	5#"$ 	e%"& 	e'"( 	e)"* 	+", 	e-". 	e/"0 	1"2 	e3"4 	d5"6 	7"8 	e9": 	e;"< 	="> 	?"@ 	A"B 	C"aDV;fE  I5I5I 	dI 	5	I
 	4I 	dI 	5I 	5I 	eI 	eI 	eI 	eI 	I 	5I 	5I  	d!I" 	5#I$ 	4%I& 	d'I( 	5)I* 	5+I, 	e-I. 	e/I0 	e1I2 	e3I4 	5I6 	57I8 	49I: 	d;I< 	5=I> 	4?I@ 	dAIB 	5CID 	5EIF 	eGIH 	eIIJ 	eKIL 	eMIN 	OIP 	5QIR 	5SIT 	eUIV 	5WIX 	5YIZ 	e[I\ 	5]I^ 	5_I` 	eaIb 	ecId 	eeIf 	egIh 	iIj 	ekIl 	emIn 	eoIp 	qIr 	esIt 	euIv 	ewIx 	yIz 	e{I| 	e}I~ 	dI@ 	AIB 	eCID 	eEIF 	eGIH 	IIJ QIgEV;zG  QdQQ 	eQ 		Q
 	Q 	Q 	DQ 	dQ 	Q 	eQ 	Q 	Q 	Q 	DQ 	eQ  	!Q" 	e#Q$ 	%Q& 	'Q( 	)Q* 	E+Q, 	-Q. 	/Q0 	D1Q2 	3Q4 	5Q6 	D7Q8 	9Q: 	;Q< 	E=Q> 	E?Q@ 	EAQB 	ECQD 	tEQF 	dGQH 	IQJ 	eKQL 	MQN 	OQP 	QQR 	DSQT 	dUQV 	WQX 	eYQZ 	[Q\ 	]Q^ 	_Q` 	DaQb 	ecQd 	eQf 	egQh 	iQj 	kQl 	mQn 	EoQp 	qQr 	sQt 	DuQv 	wQx 	yQz 	D{Q| 	}Q~ 	Q@ 	EAQB 	ECQD 	EEQF 	EGQH 	tIQJ 	dKQL 	MQN 	eOQP 	QQR 	SQT 	UQV 	DWQX 	dYQZ 	[Q\ 	e]Q^ 	_Q` 	aQb 	cQd 	DeQf 	egQh 	iQj 	ekQl 	mQn 	oQp 	qQr 	EsQt 	uQv 	wQx 	DyQz 	{Q| 	}Q~ 	DQ@ 	AQB 	CQD 	EEQF 	EGQH 	EIQJ 	EKQL 	tMQN 	eOQP 	QQR 	eSQT 	UQV 	WQX 	YQZ 	E[Q\ 	e]Q^ 	_Q` 	eaQb 	cQd 	eQf 	gQh 	EiQj 	ekQl 	mQn 	eoQp 	qQr 	sQt 	uQv 	EwQx 	yQz 	{Q| 	E}Q~ 	Q@ 	AQB 	ECQD 	EQF 	GQH 	EIQJ 	EKQL 	EMQN 	EOQP 	uQQR 	SQT 	UQV 	DWQX 	YQZ 	[Q\ 	D]Q^ 	_Q` 	aQb 	EcQd 	EeQf 	EgQh 	EiQj 	tkQl 	mQn 	oQp 	DqQr 	sQt 	uQv 	DwQx 	yQz 	{Q| 	E}Q~ 	EQ@ 	EAQB 	ECQD 	tEQF 	GQH 	IQJ 	DKQL 	MQN 	OQP 	DQQR 	SQT 	UQV 	EWQX 	EYQZ 	E[Q\ 	E]Q^ 	t_Q` 	aQb 	cQd 	EeQf 	gQh 	iQj 	EkQl 	mQn 	oQp 	EqQr 	EsQt 	EuQv 	EwQx 	uyQz 	E{Q| 	E}Q~ 	EQ@ 	tAQB 	ECQD 	EEQF 	EGQH 	tIQJ 	EKQL 	EMQN 	DOQP 	tQQR 	ESQT 	EUQV 	EWQX 	uYQZ  %$$$aQ{GV;^N   	 	5	
 	 	 	 	5 	 	 	 	5 	 	 	  	5!" 	5#$ )_NV;JO KOV;fO egOV;hO EiOV;jO UkOV;lO emOV;nO oOV;~O UOV;@P UAPV;BP eCPV;DP EPV;TP EUPV;VP EWPV;XP YPV;hP iPV;jP kPV;lP mPV;nP oPV;vP 	wPV;BQ CQV;LQ %MQV;NQ OQV;VQ WQV;`Q aQV;hQ iQV;pQ qQV;rQ $sQV;tQ uQV;~Q 	QV;JR %KRV;LR MRV;NR $ORV;PR QRV;RR 4SRV;TR 5URV;VR EWRV;XR 5YRV;ZR [RV;\R $]RV;^R _RV;`R aRV;bR %cRV;dR %eRV;fR $gRV;hR iRV;pR qRV;xR 	yRV;DS ESV;NS EOSV;PS QSV;XS YSV;bS cSV;jS kSV;rS 4sSV;tS DuSV;vS wSV;@T 	ATV;LT EMTV;NT DOTV;PT 4QTV;RT TSTV;TT UUTV;VT eWTV;XT UYTV;ZT D[TV;\T E]TV;^T E_TV;`T DaTV;bT cTV;jT kTV;zT   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	4#$ ){TV;fU gUV;BV 5CVV;DV EVV;`V aVV;pV qVV;@W $AWV;BW 4CWV;DW EWV;`W   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	4#$ )aWV;LX 5MXV;NX $OXV;PX DQXV;RX SXV;bX cXV;rX 5sXV;tX 5uXV;vX 4wXV;xX yXV;HY   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	4#$ )IYV;tY uYV;PZ QZV;lZ TmZV;nZ oZV;J[   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	4#$ )K[V;v[ dw[V;x[ y[V;H\ I\V;X\   	 	5	
 	 	 	 	5 	 	 	 	5 	 	 	  	5!" 	5#$ )Y\V;D] E]V;`] a]V;|] }]V;X^ eY^V;Z^   	 	5	
 	 	 	 	5 	 	 	 	5 	 	 	  	5!" 	5#$ )[^V;F_ G_V;V_ W_V;f_   	 	5	
 	 	 	 	5 	 	 	 	5 	 	 	  	5!" 	5#$ )g_V;R` S`V;n` o`V;Ja KaV;fa ugaV;ha   	 	5	
 	 	 	 	5 	 	 	 	5 	 	 	  	5!" 	5#$ )iaV;Tb UbV;db ebV;lb 	mbV;xb ybV;Bc UCcV;Dc EEcV;Fc uGcV;Hc IcV;Pc EQcV;Rc EScV;Tc UUcV;Vc eWcV;Xc uYcV;Zc [cV;bc EccV;dc eecV;fc egcV;hc uicV;jc dkcV;lc TmcV;nc UocV;pc UqcV;rc scV;zc {cV;|c }cV;~c cV;@d AdV;Hd 	IdV;Td UdV;^d %_dV;`d adV;hd idV;rd sdV;zd {dV;Be CeV;De $EeV;Fe GeV;Pe 	QeV;\e %]eV;^e $_eV;`e aeV;be 4ceV;de 5eeV;fe EgeV;he 5ieV;je keV;le $meV;ne oeV;pe qeV;re %seV;te %ueV;ve $weV;xe yeV;@f AfV;Hf 	IfV;Tf UfV;^f E_fV;`f afV;hf ifV;rf sfV;zf {fV;Bg 4CgV;Dg DEgV;Fg GgV;Pg 	QgV;\g E]gV;^g 4_gV;`g TagV;bg UcgV;dg eegV;fg UggV;hg DigV;jg EkgV;lg EmgV;ng DogV;pg qgV;xg ygV;zg {gV;|g }gV;~g 5gV;@h %AhV;Bh %ChV;Dh EhV;Fh EGhV;Hh %IhV;Jh KhV;Rh ShV;Th %UhV;Vh 5WhV;Xh EYhV;Zh %[hV;\h %]hV;^h _hV;`h 5ahV;bh 5chV;dh EehV;fh 5ghV;hh %ihV;jh khV;lh mhV;nh %ohV;ph $qhV;rh %shV;th %uhV;vh whV;xh yhV;zh {hV;Bi 	CiV;Ni OiV;Xi %YiV;Zi [iV;bi ciV;li miV;ti uiV;|i }iV;~i $iV;@j AjV;Jj 	KjV;Vj %WjV;Xj $YjV;Zj [jV;\j 4]jV;^j 5_jV;`j EajV;bj 5cjV;dj $ejV;fj gjV;hj %ijV;jj %kjV;lj $mjV;nj ojV;vj   	 	5	
 	 	 	 	5 	 	 	 	5 	 	 	  	4!" 	5#$ )wjV;bk ckV;~k kV;Zl E[lV;\l U]lV;^l e_lV;`l UalV;bl clV;rl slV;Bm DCmV;Dm EmV;Tm UmV;dm emV;tm UumV;vm EwmV;xm ymV;Tn EUnV;Vn UWnV;Xn eYnV;Zn U[nV;\n ]nV;ln mnV;|n D}nV;~n nV;No OoV;^o   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	4#$ )_oV;Jp KpV;fp gpV;Bq DCqV;Dq EqV;`q   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	4#$ )aqV;Lr TMrV;Nr OrV;^r _rV;nr DorV;pr   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )qrV;\s ]sV;xs ysV;Tt UtV;pt qtV;Lu   	 	4	
 	 	 	 	4 	 	 	 	4 	 	 	  	5!" 	5#$ )MuV;xu yuV;Hv UIvV;Jv eKvV;Lv MvV;\v ]vV; r;   