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este documento permite obtener formulas para distintos cálculo eléctricos.
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Cjcarpmrcalg_Amlacnrmqeclcp_jcq
K?ELGRSBCQ NPGLAGN?JCQ W QSQ SLGB?BCQ
q / Cknjcm bc k_wqasj_q w kglqasj_q cl qk`mjmqCl cjcarpmrcalg_ qccknjc_l jcrp_qk_wqasj_q n_p_ bcqgel_pa_l+rgb_bcq amlqr_lrcq* w j_q amppcqnmlbgclrcq jcrp_q kglqasj_q mj_qk_wqasj_q aml cj qs`lbgac r n_p_ bcqgel_p a_lrgb_bcq osct_p_l cl cj rgcknm,
Czcknjmq8 Dpksj_qq6*q7,q /1Cvacnagmlcq8 d,m* jk, Sk* n DcU, cra,
Rp_`_hm cjarpgam UCj rp_`_hm cjarpgam cosgt_jc _j rp_`_hm kcalgam bcdglgbm cl K /,?j rp_lqdmpk_pclcpe_* qgl ck`_pem* qc npcqclr_l npbgb_q,
Slgb_bcq8 Uq &u_rr+qceslbm'* iUf*KUf/Uq; / hmsjc&H' ; / L k
Aml j_q bcdglgagmlcq b_b_qcl Q / w Q 0 qc asknjc osc
S0q 0 U; /S r ; r; NP r
P
Nmrclag_ cjarpga_ NJ_ nmrclag_ cjarpga_ cosgt_jc _ j_ nmrclag_ kcalga_ bcdglgb_ clK /, Qgl ck`_pem* _j rp_lqdmpk_p nmrclag_ qc npcqclr_l npbgb_q,Slgb_bcq8U &u_rr'* iU*KU
q q
Aml j_qbcdglgagmlcqb_b_qclQ/ wQ0 qcasknjcosc
S+q 1 N; ; 0P
P
Dpcasclag_ r TcpJ /
Ncpmbm R Tcp J /
Dpcasclag_ _lesj_p m
Cjcarpmrcalg_ Q0Amlacnrmq eclcp_jcqBclqgb_b bcamppgclrc cjarpga_ H
J
;ICqr_ dpksj_ cq tjgb_ qmj_kclrc qg j_ amppgclrc - cqr bgqrpg`sgb_slgdmpkckclrc cl cj pc_ ?,Slgb_bcq8 ? -k 0* ? -kk0
Rclqgl cjarpga_ S &m `gcl T'N
S ; J
Slgb_bcq8 T &tmjr', kT, iT/ T cq ges_j _ j_ bgdcpclag_ bc nmrclag_j m rclqgl clrpc bmqnslrmq bc sl agpasgrm bmlbc sl_ amppgclrc &bgpcar_ m amlrgls_'bc / ? bcq_ppmjj_ sl_ nmrclag_ bc / U
U H/ T; / ++++++ ; / +++++++; /?jj ; / +
? q +?
L k
q ?
Pcqgqrclag_ cjarpga_ P
SP + &jcw bc Mfk'
Slgb_bcq8 l &mfk', igr* K"r
/ /0 cq j_ pcqgqrclag_ cjarpga_ bc sl amlbsarmp nmp cj osc n_q_sl_ amppgclrc bc / ?as_lbm qc jc _njga_ sl_ rclqgl bc / T,
wG F :+
p /.
q //
q /0
Cjcarpmrcalg_Amlacnrmqeclcp_jcq
A_n_agr_lag_ cjarpga_AJ_ a_n_agr_lag_ &m a_n_agb_b' cjarpga_ A bc sl amlbclq_bmp ma_n_agrmpcq j_ pcj_agl bcqs a_pe_O _ j_ bgdcpclag_ bc nmrclag_jS clrpc qsq nj_a_q,
OA
gg
Slgb_bcq8 D &d_p_b',\D* lD* nD/ D cq j_ a_n_agr_lag_ bc sl amlbclq_bmp osc _bosgcpc sl_a_pe_ bc / A _j _njga_pjc sl_ bgdcpclag_ bc nmrclag_j bc / T,
A ? q ?q ?0q0 ?0q0/ D; / ; / ; / ; / ; /
T T U H L +k
Djshmk_elrgam:j c i | U /+++++++++E\1
Ek*
BIoB&U$4B
+ a s +
Sbo i^ klq^bk i^ m}dfk^ P6
!!!"#$%%&'($)*"+%
Cjcarpmrcalg_A_knm cjarpgam Q/.
A_n_agr_lag_ A bc sl a_n_agrmp
d+p ?A ; ++++++++++
_
A_pe_ cjarpga_ O &tcp q 6'
Clcpe_ _jk_acl_b_ cl sl a_knmcjarpgam Ca
O 2 2 Ca ; A S+/
Amlcvgl cl n_p_jcjmbca_n_agrmpcq
g p
q
G?eJ_ a_n_agr_lag_ rmr_j m cosgt_jclrc_skclr_ _
GG7751
O 2 3 A : A* ( A( A8rGG
g
Amlcvgl cl qcpgc bc a_n_agrmpcq
J_ a_n_agr_lag_ cosgt_jclrc bgqkg+
lswc _
/ / / /
a| a Z ) c j ) a
A_n_agr_lag_ bc bmq amlbsarmpcq
@* @0 @1
EFFFFe
a Ncpkgqgtgb_b bgcjarpga_ bcj
t_am &m _gpc'
? ?pc_ bc sl_ nj_a_ &sl_ a_p_'_ Cqncqmp bcj _gqj_kgclrm
p* P_bgm bcj agjglbpm glrcplm
p P_bgm bcj agjglbpm cvrcplm
- Jmlegrsb bc jmq agjglbpmq
&; 6,63u /.+/0?q -T k'
!!!"#$%%&'($)*"+%
Cjcarpmrcalg_Pcj_agmlcq cjcarpmk_elrga_q w kcalga_q Q
PCEJ?Q
Kmtgkgclrmbc sl_ _esh_ k_elcrgx_b_Cj nmjmlmprc &L' bc j_ _esh_ cq_rp_bmnmp sl nmjm k_elrgam qsp
&Q' w pcncjgbm nmp sl nmjm k_elrgam lmprc &L', Aml cj nmjmqsp qsacbcp jm amlrp_pgm,
Amlbsarmpcqw `m`gl_q dghmq
A_knm _jpcbcbmp bc sl amlbsarmp pcarm amlamppgclrc
Qg qc qsnmlc osc sl rgp_`sxl cl cj chc bcjamlbsarmp_t_lx_clcjqclrgbmbcj_amppgclrc*qs kmtgkgclrm bc egpm glbga_p cj qclrgbm bcj_q jlc_q bc djshm agpasj_pcq amlalrpga_q,
A_knmcl cj glrcpgmpbc sl_ cqngp_ m `m`gl_ amlamppgclrc
Qg qc amlqgbcp_ osc sl rgp_`sxl cqr amjma_+
bm ncpnclbgasj_pkclrc_j nj_lm bc sl_ cqngp_mclcj chcbcsl_ `m`gl_* wqsegpmbc _t_lacamppcqnmlbc_jqclrgbmbc j_amppgclrc*qsbcq+
nj_x_kgclrmb_p j_ bgpcaagl bcj a_knmk_e+lrgam, Clcj j_bmmcvrpckmbcq_jgb_ bcj djshmcqr_psl nmjmL*wclcjmnscqrmsl nmjmQ,
Amlbsarmpcq w `m`gl_q kmtg`jcq
Amlbsarmpcq n_p_jcjmqBmq amlbsarmpcq n_p_jcjmq osc amlbsacl am+ppgclrcq amlqr_lrcq cl cj kgqkm qclrgbm* qc_rp_cl* w cl qclrgbm amlrp_pgm* qc pcncjcl,
@m`gl_q _jglc_b_qQg nmpbmq `m`gl_q amjma_b_q bc dpclrc n_q_lamppgclrcq cl cj kgqkm qclrgbm* j_q `m`gl_qqc _rp_cl9 qg j_q amppgclrcq rgclcl qclrgbmqamlrp_pgmq* j_q `m`gl_q qc pcncjcl,
Kosgl_q
Pcej_q bc jmq rpcq bcbmq ncpnclbgasj_pcq8
Bc j_ k_lm bcpcaf_ &n_p_ eclcp_bmpcq'
Qg cj lbgac _nslr_ cl j_ bgpcaagl bcj djshmk_elrgamwcjnsje_pclcjqclrgbmbcpmr_agl*cj ampbg_j &m kcbgm' glbga_p cj qclrgbm bc j_rclqgl eclcp_b_ &DCK' mbc j_ amppgclrc,
Bc j_ k_lm gxosgcpb_ &n_p_ kmrmpcq'
Qg cj lbgac _nslr_ cl j_ bgpcaagl bcj djshmk_elrgam wcj ampbg_j &m kcbgm' cl cj qclrgbmbc j_ amppgclrc* cj nsje_p glbga_p cj qclrgbmbc j_ pmr_agl,
+ ' & +
( ? F
(
!!!"#$%%&'($)*"+%
p 45
q 46
q 5.
q 5/
q 50
q 51
q 52
q 53
q 54
q 55
Cjcarpmrcalg_A_knmk_elrgam /0
K?ELGRSBCQ CL AGPASGRMQ K?ELCRGAMQ
Djshmk_elrgamg{ob^ qo^kpsbop^iabi _l_fk^al ? ` ; /,/0ab0L
Ilkdfqra ab i^p`lirjk^p abik`ibl
Abqbojkbpb - ` ^ m^oqfo ab i^p afjbkpflkbpabi k`ibl v ab ? @
?l_fk^ab ob^`q^k`f^ `lk k`iblab efbool b fkar`q^k`f^ abmbkafbkqb ab i^ `loofbkqb,
Bpq^ _l_fk^ `rbkq^ `lk rk k`ibl ab ^`bol* mbol kl qfbkb bkqobefbool,Pil pbbjmib^ m^o^ cfkbp bpmb`f^ibp* mlo bgbjmil* `ljl ^jmifcf`^alo j^dkqf`l,
I @lbcf` fbkqb ab mlqbk`f^ ab i^ _l_fk^8;+ .,02`j2-S> m^o^ _l_fk^p `ljrkbp &bk ^fob' Z sb o P02 m^o^ i^ cloj^ ab
; . ,/3`j 2-S> m^o^ _l_fk^p bk ^`bfqb
q /51
Q /52
q /53
Cjcarpmrcalg_Amppgclrc _jrcpl_ 04
RP?LQDMPK?BMP
Bcqgel_agl bc jmq `m`gl_bmq
Aj_qgdga_aglqcel
j_ rclqgl lmkgl_j j_ dslagl cl cj agpasgrm&qclrgbmbc j_ rp_lqkgqgl bc clcpe_'
@m`gl_
rclqgl
k_wmp
bm aml
lmkgl_j
kclmp
@m`gl_bmosc
pcag`c z clrpce_
clcpe_
?jrm
tmg
@_hm
_hc
Npgk_pgm
&Glbgac /'
Qcaslb_pgm
&Glbgac 0'
B_rmq lmkgl_jcq &lbgac L'
A_n_agb_b &T?'
Pcj_agl bc rp_lqdmpk_agl
N_Q ; S/L-gl ; S+L-0L
l ; ; -0V- - /L
Amkm rclqgl lmkgl_j qcaslb_pg_ Sq lm qc rmk_ j_ amppcqnml+bgclrc_a_pe_ lmkgl_j qglm j_ bct_am* cqbcagp*S
O .43
o .44
o .45
q .46
q .5-
q .5.
Cjcarpmrcalg_Amppgclrc_jrcpl_ Q05
RP?LQDMPK?BMP
Npbgb_q cl cjam`pcNAsw npsc`_ bcamprmagpasgrm
S L*
O< x
Bg_ep_k_ d_qmpg_j
F ACj t_jmp bc NAs qjm bcnclbc bc j_ am+ppgclrc npgk_pg_ j v w qc bcrcpkgl_ kc+bg_lrc sl_ npsc`_ bc amprmagpasgrm &tcp cj bg_ep_k_ bc amlcvgm+lcq*b_rmq aml cj lbgacI', Cl cqr_ npsc`_ aml cj qcaslb_pgm clamprmqc_hsqr_ j_ rclqgl npgk_pg_ SZ _j t_jmpSk, aml cj as_j qcf_acl agpasj_p nmp jmq `m`gl_bmq qsq amppgclrcq lmkgl_jcq9 S gIcq r_l ncosc_ osc nscbcl bcqnpcag_pqc jmq t_jmpcq bc -s&Dc
Cjcarpmrcalg_Amppgclrc _jrcpl_
Q /60
q /61
q /62
q /63
q /64
q /65
Cqrpcjj_ &W'
S; Sd Z 1
G -:
Bcjr_ &? '
S; SD
G ; j D q- 1
AMLCVGMLCQRPGD?QGA?Q
P
Q
R
L
P
Q
R
SwSw,
Kcbgagl bc nmrclag_ rpgdqga_
A_pe_q qgkrpga_q &cosgjg`p_b_q'
Amlcvgl
aml lcsrpm&qgqrck_ bc2 fgjmq'
qgl lcsrpm&qgqrck_ bc 1 fgjmq'
Jglc_ G P A_pe_ Jlc_ / P A_pe_
q dt' o pS Z M o S
L MNmrclag_ rmr_j N; 1N p ; Z - 1 S G cmq:n
A_pe_q _qgkrpga_q &bcqcosgjg`p_b_q', Krmbm bc ?pml, Aml bmqu_rrkcrpmq,
Jlc_ A_pe_Bc _njga_agl eclcp_j w n_p_ pcbcqaml lcsrpmw qgllcsrpm, h
Nmrclag_ rmr_j N; N*) N0
j D Amppgclrc bc d_qc G S* Rclqglbc d_qcG Amppgclrc bc jlc_ z S Rclqgl clrpc jlc_qP ,Q ,R Amlbsarmpcq npglagn_jcqbc jlc_&m`gcl8 J* J0 J *'L Fgjm bc lcsrpm &m nslrm amkl'Np Nmrclag_ bc d_qc &_argt_'
q /66
q /67
q /7.
Cjcarpmrcalg_Amppgclrc _jrcpl_
A?JASJMBCNMRCLAG?QRPGD?QGA?Q
N_p_ a_pe_q qgkrpga_q8
Nmrclag_ pc_argt_
Nmrclag_ _argt_
D_armp bc nmrclag_
Np; Z d x s qcl:d
Cjcarpmrcalg_Kosgl_q Q1.
J? K?OSGL? BC AMPPGCLRC AMLRGLS?Bl_km &kmjmp m eclcp_bmp'
Eclcp_jgb_bcq
Amlqr_lrc bcj kmkclrm bc pmr_agl
Rclqgl glbsagb_ cl j_ _pk_bsp_ &DCK'
Kmkclrm bc pmr_agl
Amppgclrc bc _pk_bsp_
Rclqgl rcpkgl_j
Tcjmagb_b bc pmr_agl &pnq'
Nmrclag_ glrcpgmp
AK+NX
0gp_
" _ Ak Em'; 0 5 rA k l
K ; AK:G
_k _k _k
!!!"#$%%&'($)*"+%
q 0.3
q 0.4
3 0.5
q 0.6
Cjcarpmrcalg_Kosgl_q Q10
KMRMPCQ BC A? RPGD?QGAMQ
Tcjmagb_b bc qglapmlgqkmQcel cj lkcpmnbc n_pcqbcnmjmqw j_ dpcasclag_ d &cl Fx', qcrgclc
d 4.dTcjmagb_bbcqglapmlgqkmlq ; ; &cl pnk'
N N
Amlcvgl
Qg rmb_q j_q rcpkgl_jcq bcj bct_l_bm bcj cqr_rmp qc jjct_l _j r_+`jcpmbcamlcvgmlcq* clrmlacqcj kmrmpnscbcamlcar_pqccl bcj+r_ m cl cqrpcjj_,
Rclqgl nmp d_qccl cqrpcjj_ cl bcjr_
S
S p { \ 5 =SD ; S
Sl kmrmp aml j_ bcqgel_agl 44.-16. T mncp_ aml qsq t_jmpcqlmkgl_jcq bc amppgclrc* n_p w nmrclag_ amlcar_bm _ sl_ rclqgl
S; 16.Tcl?9 clrmlacqSD; 16.TS 44.
S44.TclW9 clrmlacqSD; 16.T
Amlcvglbcjr_+cqrpcjj_Jmq kmrmpcq bc _jr_q nmrclag_q mncp_l eclcp_jkclrc cl bcjr_,N_p_ ctgr_p amppgclrcq cvacqgt_q bc _pp_losc* cl pcbcq bc `_h_nmrclag_ qc jcq _pp_la_ amlcar_bmq cl cqrpcjj_* w nmqrcpgmpkclrcqcmncp_lcl bcjr_,Qg*nmpchcknjm* sl kmrmpaml rclqgl lmkgl_jbc44.-16.T qc_pp_la_cl cqrpcjj_ amlcar_bm _ sl_ pcb bc16.-00.T*clrmlacqqc jc_njga_ nmp d_qc / -Z\R bc qs rclqgl lmkgl_j,
Kmrmp_qglapmlm &m bc glbsaagl'Clcj bct_l_bmbcj pmrmpqc glbsacl rclqgmlcqwamppgclrcq nmp cja_knmk_elrgamegp_rmpgm npmbsagbm nmp j_ amppgclrc cl cj cqr_+rmp* nmp jm as_j qc jc bclmkgl_ r_k`gl kmrmp bc glbsaagl, J_tcjmagb_b bc mncp_agl cq _npmvgk_b_kclrc bc 1# _ 3# &bcq+jgx_kgclrm' kclmp osc j_ bcj a_knm egp_rmpgm &tcjmagb_b bc qgl+apmlgqkm', Aml a_pe_ qs tcjmagb_b ncpk_lcac amlqr_lrc,
Kmrmp qlapmlm
Pcosgcpc amppgclrc amlrgls_ n_p_ qs cvagr_agl, Qc _pp_la_ aml_wsb_ bc qs bct_l_bm _kmprges_bmp &bc h_sj_' f_qr_ _ja_lx_p j_tcjmagb_b bc qglapmlgqkm, Nscbc dslagml_p r_k`gl pctcpqg`jc+kclrcamkm eclcp_bmp qlapmlmm _jrcpl_bmp,
!!!"#$%%&'($)*"+%
o /-6
o /.-
o /..
o /./
P /.0
o /.1
o /.2
o /.3
o /.4
o /.5
o /.6
o //-
o //.
C j c a r p m r c a l g _
Rp_lqdmpk_bmpcq Q 1 1@aoe_8
Ej ` e_ a
ej ] _ e j
C nq l k
EPSN
B]
= R
MQBCAA
o a o
> R
'LCVGMLC
?kja;
= R
Q
% ek j a o
> R
N a h] _ e j
%n] p ek &
G ) 7G )
P n ] j o b k ni ] ` k n a o p n e b | o e_ k o
.
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zW u .z
. / -
H
G ! IH
c N eH
H
u
( + +
G H e
l - g - gG H e
J J gG H e
j -/ -/
S U
_kG u I
/ / /S u I
K ?
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0 ! f
2
x@ u 2 .H
c N eH
c N eH
c N e
$ u
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G H e
[ * Wk H e
J Sc d e
G j /
/// @WI j FE P @W
@',@W
I j w
xU ` 2 .
WU v 2 .
4
. ` 3
U u 3
@ v 3
H
c N eH
c N eH
c N e
SR
U u
G H e
e kG H e
/ / /G H e
# H - -
P K
/ / /S u U
S u U
@W
@w
@W
@',@W
0 ' /
//
@ u . .
U ` ..
U v ..
H
c z eH
c N eH
c N e
7 ;
G H e
[ * XG H e
J J GG H e
J J G
G H e
J J GG u I
E I I .S u U
s
@W
R0@'
`4 @ W
@W
, @'
H T@ '
P n ] j o b k ni ] ` k n a o i k j k b| o e_ k o
. E e -c
EH
T
G
gH
c
/ Lg
= R = h p k r k hp] fa E@ E ER E . .> R > ] fk r k hp] fa x` z@ a h)] z uA o p n a h h] z0 zV ec v ] c
A h ~j ` e_ a o en r a l ] n] _ ] h_ q h] n a h ` a b ] o ] i ea j pk &:d R + L k n a fa i l hk ) a h ` a b ] o ] i ea j pk
l ] n] a h c n q l k B w2 a o :d
Qk`mjmRgnm bc
bgqnmqgrgtmAmlqrpsaagl
A_lrgb_bnpgk_pg_kcbgb_ Cqa_j_
N_p_kcbgp
. @m`gl_ ktgj@m`gl_ ktgj cl cj a_knm p_bg_j slg+dmpkc bc sl gkl ncpk_lclrc9 bmqpcqmprcq cqngp_jcqm bc rmpqgl amkmamlcvgmlcq w n_p_ cj amlrp_kmkclrmrmpqjml_j
T_jmp amlrglsm&kcbg_ _pgrk+rga_'
Jglc_j + - w S
@m`gl_ ktgjaml pcargdg+a_bmp
T_jmp amlrglsm&pcargdga_bmp' Jglc_j
:/// w S
O@m`gl_q clapsx
@m`gl_q ncpnclbgasj_pcq* pegb_kclrcslgb_q* cl cj a_knm lm slgdmpkc bcsl gkl ncpk_lclrc9 bmq amlcvgmlcqqgl amlrp_n_p m amlrp_kmkclrm
f
fLm jglc_j /0/
-*
d0
.@m`gl_ ktgjaml rcpkmn_p
Cj _j_k`pc a_jcd_armp bcj rcpkmn_p*qmjb_bm m cl cqrpcafm amlr_arm, J_rclqgl rcpkmcjarpga_ _jgkclr_ j_`m`gl_ ktgj
T_jmp cdga_xA_qg as_+bprga_
&0/
&0/
- w S
FgcppmbsjacBmq ngcx_q bc fgcppm bsjac* sl_ ktgjw sl_ dgh_9 `m`gl_ dgh_w pcqmprcqcqngp_+jcqn_p_ cj amlrp_kmkclrm
T_jmp cdga_x Lm jglc_j&0/
&2'/ w S
l Cjcarpmbgl+kgam
@m`gl_ ktgj* `m`gl_ dgh_ wbmq pcqmp+rcqcqngp_jcqm bcrmpqgl n_p_ cj aml+rp_kmkclrmw j_ amlcvgl9 n_lr_jj_k_elrga_
-/ -0 cmq :
As_bprga_n_p_ -wS+,jglc_jn_p_N
&0//, S, N
Tcmq :d
Mnrga_ c Gjskgl_aglGjskgl_agl, Dmrmkcrp_
A?LRGB?BCQ @?QGA?Q CL JSKGLMRCALG?
K_elgrsbQk`mjmq
w pcj_agmlcq Slgb_bCvnjga_agl
Glrclqgb_bjskglmq_
jt a_lbcj_ab
- cq sl_ k_elgrsb dsl+b_kclr_j, Tcp Cvnjga_+agmlcq eclcp_jcq,
?lesjmqjgbm
J
?q
p%q
cqrcpcmpp_+bgl
/ k+qp ; +++++++
/ k+
0cq j_ pcj_agl bcj pc_?q bc j_ qsncpdgagc cqd+pga_ glrcpacnr_b_* _j as_+bp_bm bcj p_bgm bc j_ cq+dcp_ pq, N_p_ sl lesjmqjgbm amknjcrm qc rgclc0; 25pqp; /0,34qp
Djshm jsklgam&nmrclag_jsklga_'
; jtjskcl
Gk; a b q p
:=
Mnrga_ c Gjskgl_aglGjskgl_agl, Pcdp_aagl
JCW BC J? GJSKGL?AGML
J_ gjskgl_agl bc sl_ qsncpdgagc cq gltcpq_kclrc npmnmpagml_j _gas_bp_bm bc qs bgqr_lag_ _ j_dsclrc bc jsx8
Ctg
Ct0
(0
{ p p
?(
% ?* R + (0
N_p_ ges_j gjskgl_agl bc sl_ qsncpdgagc j_q glrclqgb_bcq bc bmqdsclrcq bc jsx cqrl cl pcj_agl bgpcar_ _j as_bp_bm bc qsq bgqr_l+ag_q _ j_ qsncpdgagc8
jt/
{sp p
@((
Qsncpdgagc g CK
+++++++++++++ p0 ++++++++++
Pcdp_aagl bc j_ jsx
l ` qcl_
l_ qcl&"; amlqr_lrc n_p_ rmbm lesjm
l_as_lbmqcld g\ * f_w pcdjcvgl rmr_j
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