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dP/dt [10-15 seg seg-1]
P [seg]
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211.4
211.2
211.0
210.8
210.6
210.4
210.2
210.0
209.8
209.6
209.4
11700
3.96
3.94
3.92
3.90
3.88
3.86
3.84
3.82
3.80
11700
11650
11600
11550
11500
11650
11600
11550
11500
Teff [K]
dP/dt [10-15 seg seg-1]
P [seg]
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4.6
4.4
4.2
4.0
3.8
3.6
3.4
3.2
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M ” msrgknm - Ž ? ? Ž $ - ""1 rgo ƒdƒ 1 >Ž ? Ž V6 (W( b Ž J A I C - K = K j <>E; J ? I*JXh6 <>E<;0)<>= = <aŽ
i Ž 6(
M 1 m0oŽ ? Ž ? 1 q Dt ( ƒ o / Ž ? Ž $ / ow:m 1 t O 1 Ž ? Ž )6 ( :6 LŽ MN)<>= = < ?NK EE K ;@ Ž 6 b 8 Ž )6 (W(
M k ƒ o " Ž ? Ž $ ‘ - < t ƒ - 1d/ Ž ? Ž )6 (":6 Ž <>E;0 J ? I*JXh[ <>E;01<>= = <aŽ 6 b i Ž Bnˆ
E( K$- $ I C <>E<;0/\
M k v * • m 5 < o " Ž ? Ž r / - m 1 o / k0Ž ? DŽ $ q o / mŽ ? Ž )6 (W(W( Ž %' J E8 C#6*+ E= = K <+ %
J ?B= =I C"1 = = K ECRŽ b ‰ Ž 6
Ž K[ <>E;)<>= =I C
M k v * • m 5 < o " Ž ? Ž B ( 1 o Ž ” ? Ž 1 v k9m 5 1 Ž ? ;Ž $ r / - m 1 o / k0Ž ” ? Ž )6 (W(W( ,
!c A>; JHI C Ž ˆni8 Ž ini9‰
M / o 1 " ƒ o / Ž ? Ž o / m0o / Ž d ? *Ž $ o “ o / Ž ? Ž )6 (W(sˆ Ž f =@E K j I ; <aŽ otar <0/ o k9rgo q 1 m (  q 1 t q Ž
8n8 Ž 6+‰ b
M / o 1 " ƒ o / Ž ? Ž )6 (W(" Ž I CFE= =$ <>E;0 J ?Ž B Ž B26
M "1 o v“ k 4 q O 1 Ž ? ” ? Ž )6 (nBnˆ HŽ % K ? = ; K <V E8 K 1 = = K E K6- $ I C K;h K <i1 = = K>J1= K < h K ? =K A K Ž
Ž i sB
M "1 o v“ k 4 q O 1 Ž ? Ž $ duk o q rgo / Ž M? Ž V6 (":6 Ž <>E;0 J ? I*JXh; <>E<;0)<>= = <aŽ (sB Ž 6‰
M "1 o v“ k 4 q O 1 Ž ? ” ? Ž V6 (sBnB - Ž = E I <>E;0 J ?B= =I Ž inB Ž i b M "1 o v“ k 4 q O 1 Ž ? ” ? Ž V6 (sBnB “ Ž = E I; <>E;0 J ?B= =I Ž inB Ž 6
> w0w 1 m 5 rgknm Ž ” ? ? Ž )6 (:6B #Ž K, S>< K ; I E ;RŽ 8 b Ž *i ( b
> w0w 1 m 5 rgknm Ž ” ? ? Ž )6 (:6 - LŽ %' J E8 C#;*6 E= = K <; E( K<- $ I C <>E; J ?B= =I CL1 = = K ECRŽ *B ( Ž i
> w0w 1 m 5 rgknm Ž ” ? ? Ž )6 (:6 “ #Ž %4 J E( C#*+ E= = K < E8 KV- $ I C <>E; J ?B= =I CN1 = = K E%Ž *B ( Ž
6—BnB
> w0w 1 m  5 rgknm Ž ” ? ? Ž )6 (si9‰ Ž K 0>J E K ; JHI CI+ J <>E=@EADE=T J E8 K 1 E I ;<aŽ B -9v“ /=1 w 5 o m 1 xno / +
q 1 r / o q=q Ž B -9v“ /=1 w 5 o
> v w0o3mŽ ? Ž V6 ( b B Ž - I <4F A A K C J 3 Jj K>JXh A JA K>J h K ; ? K%= I*J = < = K>J fI ;Q? K E8 K ;Q= K WŽ & o < D“ +
6i
m0o / Ž o 1 “ "31 5
>| q r;o 1 m -Ž ? Ž )6 (nˆ b Ž# K$ <>E;)<>= =I C! A ; JHI C Ž 696—i Ž ‰
? knmsr - 1 m0o ? Ž T / - q;q - / w ? Ž T o / 5 o / k9m ? Ž $ o q o v…- o ƒ ? ? Ž 6V(W(si Ž K <>E;)<>= =I C
!c A>; JHI C Ž (W( Ž N(26
? knmsr - 1 m0o9Ž ? Ž T / - q;q - / w Ž ? Ž o q o v…- o ƒ Ž4? ? ŽN$ & - q;q k < ƒ Ž ? Ž 6)(W(98 Ž< K+ <>E;)<>= =I C
!c A>; JHI C Ž 8Ci Ž ‰26
? knmsr - 1 m0o9Ž ? %Ž $ T / - q;q - / w Ž ? Ž 6V(W(98 Ž 1 m ” B k ƒdƒ k ? 6+8sB Ž7 K (* A I E=T J 71 E I E K
= J <>E;01<>= = <aŽ > w q? O ? B ( -9“ /=1 o / $ > ? tD( - r " vy- m B -9v“ /=1 w 5 o O B -9v“ /=1 w 5 o
m 1 xno / q 1 r  / o q=Dq Ž 8sB
? knmsr - 1 m0o9Ž ? Ž T / - q;q - / w Ž ? Ž $ T o / 5 o / knmŽ ? Ž i bnb 6 Ž:M ASSCF= =I E=T J <V E( K6 <>E<;0 J ?B= =I C
1 = = K EC` E8 K M I>= = a = Ž 696 Ž 8 b (
- < q r;Dt (  Ž ” ? Ž $ 2- 1 k0Ž ?)6 (W(nˆ Ž J A I C - K = K j <>E;0 J ? I*JXh <>E;01<>= = <aŽ " Ž
Bnˆ
- < q r; Dt (  Ž ” ? Ž < w 4 1 5 Ž ? Ž $ ? / o  r - 5 Ž T ? Ž )6 (*(n‰ Ž <>E; J ? I*JXh <>E<;0)<>= = <aŽ 6n6 Ž
8(
- < q r;Dt (  Ž ” ? Ž $ 2- 1 k0Ž ?)6 (W(9‰ Ž J A I C - K = K j <>E;0 J ? I*JXh <>E;01<>= = <aŽ 8 Ž
ˆnˆ26
- < r q Dt (  Ž ” ? Ž )6 (W(sB Ž = <>E I < = J5 <>E<;0 J ?RŽ 806 Ž (sˆ
- < r q Dt (  Ž ” ? Ž $ ” ƒ :r ( - < q Ž ? ? Ž i bnb i Ž <>E;0 J ? I*JXh; <>E<;0)<>= = <aŽ si Ž 6+806
k ƒ w / o 1 Dt ( Ž ? Ž $ < ]Ž Q ?TV6 (W(W( Ž K <>E;01<>= =I C"! A>; JHI C Ž ˆ26n6 Ž ( b 8
k k q=q om q Ž ? Ž $ 2v o  o / q Ž ? Ž )6 (sB8 Ž <>E;01<>= = < I*JXh 1R I>= K 1 = = K>J1= K Ž i9‰ Ž 6 B
k < 5 (Ž M? ? DŽ $ &Wk k v / o]Ž ? Ž J A I C - K = K j <>E<;0 J ? I*JXh <>E<;0)<>= = <aŽ *i ( Ž ‰ninB
/ - < o / Ž ” ? M? Ž $ T knm0wŽ ? > ? Ž )6 ( 98 Ž KW <>E;01<>= =I C! A>; JHI C Ž i9BnB Ž i2696
- m q om Ž B ? ? Ž $ d - 4 - ƒ o / Ž ? M? Ž )6 ("*( LŽ 1 E K C@C I ; 0>J E K ;>=T ;<aŽ o 4 Q k / O O |0/=1 m 5 o /
1 m0o T ? ? Ž $ - :r (:o / ? > ? Ž )6 ("sB Ž 1 m K 1 K%= JXh + J K ; K>J1= K J & I = J E CFA K 1 E I ;<43
0 65 + C@C * AD=@A ? =9Ž > w q? ” ? ? M? ( 1 ƒ 1 | Ž M? ? -  o q LŽ ? 1 o “ o / r Ž ‰si9B
< “:“ - / w ? T ? DŽ $ -9v | o ? Ž V6 (nW‰ ( 3Ž K# <>E<;0)<>= =I C! A ; JHI C1 AF HC K ? K>J E Ž 6 Ž i (sB
<0/ ƒ o  Ž ? Ž k “ o / r q Ž ? ? Ž $ /;1 5 (CrŽ d ? Ž 6)(n‰9‰ Ž K# <>E<;0)<>= =I C!c A>; JHI C Ž 6+8 Ž ˆ ˆ
“ o3m-Ž ? / ? Ž )6 ("8 #Ž K$ <>E<;0)<>= =I C! A ; JHI C Ž inB9B Ž ""
“ o3m ? / ? Ž $ - t M knm - ƒ w ? Ž )6 ("nˆ Ž K <>E<;0)<>= =I C"! A ; JHI C Ž *i (9‰ Ž ˆ8 b
“ o3m ? / ? Ž $ - t M knm - ƒ w ? Ž )6 ("9‰ Ž K <>E<;0)<>= =I C"! A ; JHI C Ž b 6 Ž 6‰98
5 ƒ o q 1 - q B ? ” ? Ž $ k 5 o / q ? ? ? Ž )6 (W(n‰ #Ž K$ <>E<;0)<>= =I C!c A>; JHI C Ž 8s‰98 Ž (98 q o / mŽ ? Ž o / m - m " Ž ? Ž $ - / t * • - + T o /;/ k0Ž > ? Ž )6 (*(si <Ž K+ <>E<;0)<>= =I C! A ; JHI C Ž (si Ž
Wi rgk ( ? Ž 1 r P- O o ? Ž  o3r;k v 1 ? Ž $A Dt ( 1 vy- /;< ? Ž )6 (" ;Ž KV <>E;)<>= =I C! A>; JHI C Ž
inB Ž B9B8
9knm0o q Ž H? ? Ž - m q o3mŽ B ? ? Ž Wo q m0o ƒdƒ Ž N? M? Ž $d - 4 - ƒ o / Ž N? M? Ž )6 ("*( 6Ž Ki <>E<;0/\
"
1<>= =I C! A>; JHI C Ž ‰ Ž 8 b
d - m -n- m Ž ” ? ? Ž )6 (*(n‰ LŽ MN K <>= <aŽ m 1 xno / q 1 r  k „ &Wo ! - q
6 "
- 4 - ƒ o / Ž ?M? Ž - m q omŽ B ? ? Ž $ 1 m 5 o3rŽ M? > ? 6)("nˆ Ž< K[ <>E;01<>= =I C! A>; JHI C Ž
*i (sˆ Ž ˆR8CB
d - 4 - ƒ o / Ž ?M? Ž 1 m 5 oar+Ž M? > ? Ž - m q om Ž B ? ? Ž$ “ o3mŽ6 ? Ž 6)( n‰ Ž K+ <>E;)<>= =I C
!c A>; JHI C Ž b ‰ Ž .8:6
d - 4 - ƒ o / Ž ? M? Ž V6 ("" Ž K <>E;01<>= =I C"! A>; JHI C Ž " 8 Ž i9i b
d - 4 - ƒ o / Ž ? M? Ž $ o 1 q;q Ž ? Ž 6)(W( b ŽUM ;0 A ; K < < 1 K = <>? C A K E( K 1 A J I*JXh 1 E I ;<aŽ
o3t3r <0/ o k9r;o q 1 m (  q 1 t q Ž ‰sB Ž 8 6
d - 4 - ƒ o / Ž ? M? Ž V6 (W( Ž K <>E;01<>= =I C"! A>; JHI C Ž 8 b 8 Ž i (98
d - 4 - ƒ o / Ž ? M? Ž $ T / - w ƒ o  Ž ? ” ? Ž 6)(W(98 Ž K$ <>E;01<>= =I C! A>; JHI C Ž 8CinB Ž 806—ˆ
d - 4 - ƒ o / Ž ? M? Ž T knm0wŽ ? > ? Ž (0o / “ o / r+Ž ? > ? Ž $ - r q knmŽ & ? d ? Ž )6 (W(98 Ž <>E<;0 J ?B= =I C
!c A>; JHI C Ž 6 b B Ž *i ("
duoo ƒ o  Ž M? ” ? Ž )6 (s*B ( Ž 1 m f =@E K j I ; < I*JXh I ;Q= I SSC K KBA K>JLK ; I E K 1 E I ;<43 0 65 + C@C * 7
=nŽ ow ? ? ? x - m k / mŽ "
duo | ƒ o / Ž ? ? Ž - r (0o / Ž ? > ? Ž t / - 4 Ž ? & ? :Ž $ k “ 1 m q knmŽ > :? ? Ž )6 ("ni W
Ž K, <>E<;0/\
1<>= =I C! A>; JHI C Ž inˆ8 Ž ‰nB9‰
duo | ƒ o / Ž ? ? Ž oar - ƒ ? Ž )6 (W(26 #
Ž K$ <>E<;0)<>= =I C! A ; JHI C Ž B Ž T8Cˆ
duo | ƒ o / Ž ? ? Ž oar - ƒ ? Ž )6 (W(nˆ #
Ž K$ <>E<;0)<>= =I C! A ; JHI C Ž 8n8sB Ž sB8
duo | ƒ o / Ž ? ? Ž $ T / - w ƒ o  Ž ? ” ? Ž 6V(W(sˆ Ž I CFE= =$ <>E; J ?RŽ 8 Ž 6‰9‰
duo | ƒ o / Ž ? ? 6Ž < OR- w -9v Ž ” ? Ž 1 m 5 o3rŽ M? > ? Ž - :r (0o / Ž ? > ? 6Ž oargt - ƒ „ o9LŽ & ? ? Ž oow Ž
? M? ]Ž d - 4 - ƒ o / Ž O? M? OŽ $ T / - w ƒ o  Ž ? ” ? Ž i b9bnb - NŽ KW <>E<;0)<>= =I CL! A>; JHI C Ž ˆ 8 Ž
6 sˆ
duo | ƒ o / Ž ? ? Ž k “ 1 m q knmŽ > ? ? &Ž dk o q rgo / Ž M? Ž B ƒ o v o3m q Ž ? B ? Ž - :r (:o / Ž ? > ? OŽ $ 1 - m 5 Ž
Ž K$ <>E;)<>= =I C! A ; JHI C Ž ˆ ( Ž B (
? ? i bnb9b “ #
d 1 v Ž ? > ? Ž V6 (s*B ( LŽ MN)<>= =I C - K = K j)?K EE K ;<aŽ 8 Ž 6 b d 1 |0| o"m ( - (0mŽ ? Ž o 1 5 o / r+Ž ” ? OŽ $ k „ v o 1 q rgo / Ž > ? Ž V6 (n‰sB Ž 1 5
m % K E( h < = J + ?HA E I E=T JHI C
M )<>= = <aŽ ‰ Ž 6*i (
duk2o q rgo / Ž M? Ž $ B ( - m v < 5 -v Ž ? Ž )6 (W( b Ž - K ;>E@<i J M ;0 A ; K < < = J MN1<>= = <aŽ ˆ Ž B
duk2o q rgo / Ž M? Ž $ ” ƒ ƒ - / wŽ ? ? ? Ž i bnb9b Ž I CFE= = <>E<;0 J ?RŽ ( Ž 6n)6 (
duk | - ƒ Ž ? Ž )6 (98 ( Ž K <>E;01<>= =I CL!c A>; JHI C Ž 6 b ( Ž ˆ b (
Ž K$ <>E;)<>= =I C! A ; JHI C Ž 6—ˆ Ž 6—B26
- q O o / Ž T ? Ž $ o q=q o / Ž ? Ž )6 (9W‰ ( #
Ž K$ <>E;)<>= =I C! A ; JHI C Ž 6‰ Ž W(
- q O o / Ž T ? Ž $ o q=q o / Ž ? Ž )6 (nB26 #
Ž K$ <>E<;0)<>= =I C! A ; JHI C Ž 6—ˆ Ž 6—ˆ26
- m0w0k ƒ r+Ž ” ? D? Ž )6 (n‰ #
Ž I*JXh SSA = h K ; MN)<>= FRŽ > w q? ? ? ƒ < ’ 5 o9Ž T o / ƒ 1 m O
ow0k < ! Ž ? Ž $ - ƒ / - xno3mŽ &-( ? Ž V6 (sˆ |0/;1 m 5 o / + ‘ o / ƒ - 5 Ž ˆ Ž K <>E;)<>= =I C"! A>; JHI C Ž 696+8 Ž B ow0k < ! Ž ? Ž )6 (nˆ26  m:w0om + T o ƒdƒ Ž M? Ž$ q r /;1 O o / Ž] ? ? Ž 6V(n‰sB Ž]%' J E8 C# *+ E= = K << E( KB- $ I C <>E<;0 J ?B= =I C
1 = = K ECRŽ 6 ‰ Ž *i ( - 5 m 1 ? Ž $ - "S"1 rgo ƒ ƒ 1 ? Ž V6 (s*B ( Ž <>E;0 J ? I*JXh; <>E<;0)<>= = <aŽ Bni Ž 6 8
t / - 4 XŽ ? & ? Ž $ k “ 1 m q knmŽ > ? ? Ž )6 (sBnˆ Ž K <>E<;0)<>= =I C"! A ; JHI C Ž i bnb Ž W(
d
68
/ - 4 XŽ ? & ? Ž $ k “ 1 m q knmŽ > ? ? Ž 6)(sB9‰ Ž K <>E<;0)<>= =I C"! A ; JHI C Ž i b ˆ Ž 6—ˆnˆ
t / - 4 ŽX ? & ? Ž 6)(sB*( Ž# K$ <>E<;0)<>= =I C!c A>; JHI C Ž ini*( Ž i b t / - 4 Ž ? & ? Ž 1 o “ o / rŽ ? Ž r - /;/ - o ƒ wŽ ? ? ŽN$ / oom Ž ? Ž 6V(sB*( Ž 1 m fg =@E K1 j I ; <
I*JXh I ;>= I SSC K KBA K>JLK ; I E K 1 E I ;<43 0 65 + C@C * 7I=nŽ0o3w ? ? ? x - m k / m Ž BnB
o3r;t - ƒ „ o,& ? ? Ž - r:(:o / Ž ? > ? Ž $ 1 m 5 oar+Ž M? > ? Ž i bnbnb Ž, K <>E;01<>= =I C! A>; JHI C Ž
ˆ8Cˆ Ž (nB8
o3r;t - ƒ „ o & ? ? Ž 1 m 5 o3r M? > ? Ž$ B ( - / “ knm0m0o - < ? Ž i bnb 6 Ž KW <>E;)<>= =I CL! A>; JHI C Ž
ˆnˆnB Ž 6 b i26
knmsr 5 k v o /  ? ? Ž $ 1 m 5 o3rŽ M? > ? Ž 6V(W(W( Ž# KW <>E;01<>= =I C! A>; JHI C Ž ˆ9i9‰ Ž (sB‰
knmsr 5 k v o /  ? ? Ž o3r;t - ƒ „ o & ? ? OŽ $ 1 m 5 o3r M? > ? Ž i bnb 6 Ž KB <>E<;0)<>= =I CL! A ; \
JHI C Ž ˆ8 Ž ˆ k < ƒ rgknm -Ž ? ? ? Ž V6 ( b ( #Ž KW <>E;01<>= =I C! A>; JHI C Ž *i ( Ž inˆ9B
-POR- 5 - 4 - Ž ? Žduk(  -9vy- ŽRQ ? ŽD$ rgk(Ž ? Ž 6)("" Ž KB <>E;01<>= =I C! A>; JHI C Ž i9‰ Ž iR806
- r (0o / Ž ? > ? Ž 1 m 5 oar+Ž M? > ? Ž B ƒ o v om q :Ž ? B ? Ž - m q omŽ B ? ? Ž $ 1 m0o9Ž T ? ? Ž )6 (W( b Ž
K <>E;01<>= =I C"! A>; JHI C Ž ‰:6 Ž b (
q P- O 1 Ž Q ? Ž $ - m q om Ž B ? ? Ž )6 (nB #Ž K$ <>E;)<>= =I C! A ; JHI C Ž 6 sˆ Ž inB9B
q P- O 1 Ž Q ? Ž )6 (sBnˆ XŽ M A]SSCF= =I E=T J <i E8 K <>E; J ?B= =I CL1 = = K EC` , ! I I*J Ž inB Ž i B
4 o3mLŽ ? ? Ž )6 (nˆnB XŽ %' J E( C# *6 E= = K <i E( K<- $ I C <>E; J ?B= =I CL1 = = K ECRŽ 6n6—B Ž 98
- < oar;r;o B ? Ž Wo ƒ ƒ oar 1 o / B ? Ž ? knmsr - 1 m0o ? Ž $ 1 Dt ( - < w ? Ž )6 ("n‰ - Ž K <>E;)<>= =I C
!c A>; JHI C1 AF HC K ? K>J E Ž ‰:6 Ž 6—BnB
Wo3tto 1 Ž ? M? Ž $ <01 m0m Ž c? ? Ž )6 (sBnB XŽ M )<>= =I C - K = K jH?K EE K ;<aŽ Ž 68n8 b
Wo O o /=1 q Ž B ? ? Ž )6 ( #Ž K$ <>E<;0)<>= =I C!c A>; JHI C Ž " Ž 6 W(
Wo O o /=1 q Ž B ? ? Ž $ ow0k < !JŽ ? Ž )6 (9806 Ž K$ <>E;01<>= =I C! A>; JHI C Ž (98 Ž 6i8
„ o 1 Y o / Ž T ? Ž0o3r - ƒ ? Ž V6 (W(n‰ Ž <>E;0 J ? I*JXhi <>E<;0)<>= = <aŽ 6+8 Ž 6 si
/ o q=q Ž ? ? Ž &Wo < O k ƒ q O  Ž ? ” ? Ž ‘ o3r;r;o / ƒ 1 m 5 Ž ? & ? Ž*$ ? ƒ - m0m0o /  Ž T ? ? Ž 6)(W(si Ž * AD? K ;Q= =I C
1 = = K>J E= a = + ?HA E= JA Ž B -v“ /;1 w 5 o m 1 x ? / o q;q?
- K%= = K <43, K ;>EB <
/- Y o ƒ r+Ž ? ? Ž )6 (W(n‰ cŽ 1 E I ; < I < ? I S ; I E ;Q= K < ;& A JXh I ? K>J E I CMN1<>= = < B ( 1 t - 5 k O m 1 +
xno / q 1 r  k „ B ( 1 t - 5 k / o q=Dq /- Y o ƒ r+Ž ? ? Ž i bnbnb LŽ MN1<>= = < - K ;QE@<aŽ "" Ž ˆ ( Ž f= K h K ? I*J J < J JHI C K>J Ž ‘ Ž 6—B 1 r;r;o / Ž ” ? Ž 6 sB*( .
k “ oŽ ? Ž )6 (n"‰ Ž J JHI C K < h <>E<;0)<>= * A K Ž 6 Ž 8CBnˆ
Ž KU <>E<;0)<>= =I CX! A>; JHI C Ž
k “ 1 m q knmŽ > ? ? Ž - r (0o / Ž ? > ? Ž $ t / - 4 Ž ? & ? Ž )6 (nB9‰ N
i26 b Ž i 6n6
Ž K <>E<;0)<>= =I CH! A>; JHI C Ž
k “ 1 m q knmŽ > L? ? Ž duo | ƒ o / Ž ? ? LŽ $ - :r (:o / Ž ? > ? Ž V6 ("si W
in*ˆ ( Ž i )6 (
k “ 1 m q knmŽ ? ? Ž )6 ("98 Ž <>E;0 J ?B= =I C"! A ; JHI C Ž W( Ž 6—B i
Ž KW <>E;01<>= =I C! A>; JHI C Ž 8 Ž ( b
k “ 1 m q knmŽ > ? ? Ž o3r - ƒ ? Ž V6 (W(sˆ #
:- 1 k0Ž ? Ž 1 m 5 o3r+Ž M? > ? Ž $ k “ 1 m q knmŽ > L? ? Ž )6 (" WŽ K< <>E<;0)<>= =I CH! A>; JHI C Ž i9‰sˆ Ž
t 6ˆ
si
:- ƒ - /;1 q Ž ? Ž M k v *• m 5 < o " Ž ? Ž - / t *• - + T o /;/ k0Ž > ? Ž o / m - m " Ž ? Ž q o / mŽ ? Ž $ k tD( O kx 1 r;tD(Ž
? Ž 6)(W(sB Ž# K$ <>E<;0)<>= =I C!c A>; JHI C Ž 8n‰ Ž 806
t < U - 1 / o9Ž ? Ž )6 (sB8 Ž <>E;0 J ? I*JXhi <>E;)<>= = <aŽ ‰ Ž 6 b B
tD( 4 - m O Ž M? B ? Ž )6 (sB9‰ Ž <>E<;0)<>= = < I*JXh 1R I>= K 1 = = K>J1= K Ž 8 Ž 8Cˆ*(
Dt ( 4 - / " Dt ( 1 ƒ w 1Ž ? Ž $ 2- x9ow0k Y Ž ? ? Ž V6 (98 ( #Ž KW <>E;01<>= =I C! A>; JHI C Ž 6 b ( Ž i*(
o / om0o ƒ ƒ 1 Ž ” ? ? iŽ K <>= < = E ; I C Ž ? - t < ƒ r - w w0o B 1 o3m0t 1 - q ” q r / knm k • v 1 t - q  o3k „ *• q 1 t - q Ž
m 1 xno / q 1 w - w - t 1 knm - ƒ w0o - ƒ - r ( - | ƒ o  Ž ? Ž )6 (:6+8 Ž K <>E<;0)<>= =I C"! A ; JHI C Ž 8 b Ž 8n8
1 ƒ xnk9r=r 1 Ž ? Ž M / o 1 " ƒ o / Ž ? Ž - m0w ƒ o / Ž ? Ž $ 1 - m 5 Ž ? ? Ž V6 (W(W( Ž <>E;0 J ? I*JXhV <>E<;0/\
1<>= = <aŽ 8Ci Ž B8sˆ
2v o  o / q Ž ? Ž =I h 7 - 71 = =%7 3 ?K EEB7 KI AR\ ;QE@< ? = K A K 3 ;>A < < K C <7+C 71 = =%7 A C@C 71 K G ; 7 Ž ˆ Ž
6n6—i9‰
r - m 5 (0o ƒ ƒ 1 m 1 Ž ? Ž B +k !JŽ ” ? ? Ž $ r - /;/ - o ƒ w Ž ? Ž )6 (W(:6 Ž K$ <>E;01<>= =I C! A>; JHI C Ž Ž
B9‰n‰
r - /;/ - o ƒ w Ž ? ? Ž B :k !JŽ ” ? ? Ž k w q k9mŽ ? ? ;Ž $ o q m0o ƒdƒ Ž ? M? Ž )6 (" <Ž K[ <>E<;0/\
1<>= =I C! A>; JHI C Ž i9"‰ Ž inB
r - /;/ - o ƒ w Ž ? Ž B :k !JŽ ” ? ? Ž d 1 w vy- mŽ ? T ? Ž $ o q m0o ƒdƒ Ž ? M? Ž V6 ("98 Ž K# <>E;)<>= =I C
!c A>; JHI C Ž i :6 Ž bnb
r - /;/ - o ƒ w Ž ? Ž B +k !JŽ ” ? ? ZŽ d 1 w vy- mŽ 1? T ? Ž $ om q m0o ƒdƒ Ž 1? M? Ž )6 ("nˆ Ž K <>E;)<>= =I C
!c A>; JHI C Ž *i ( Ž Wi
rgkx9o / Ž ? ? Ž - :r (0o / Ž ? > ? Ž k “ 1 m q knm Ž > ? ? Ž o q;q o / "Ž ? > ? HŽ $ - q O o / Ž T ? ? Ž )6 (" b Ž
K <>E;01<>= =I C"! A>; JHI C Ž i8 b Ž 9‰sˆ
& - q;q k < ƒ Ž ? Ž )6 (" b #
Ž K$ <>E<;0)<>= =I C! A ; JHI C"1 A HC K ? K>J E Ž 8 Ž 8Ci (
& - q;q k < ƒ Ž ? 1Ž ? knmsr - 1 m0o9Ž ? LŽ $ 1 m 5 oar+Ž M? > ? Ž )6 (*( b U
Ž K< <>E;)<>= =I C:!c A>; JHI CH1 A X\
"
HC K ? K>J E Ž B9i Ž ˆ
&-(0k v | q k9mŽ ? "Ž MN =@C 7$ ; I*J <7 1 = 7 ? JXh 7 Ž 6—ˆ Ž ‰:6—i
m0m:k ? Ž q P- O 1 Q ? Ž ” m0w0k ? Ž :- 1 k ? WŽ $ ( 1 “ - ( - q ( 1 ? Ž )6 ("W( Ž *6 J ; I h = I C < = =@C@C I E=T J <
<
1 E I ;<aŽ m 1 xno / q 1 r  k „ & k O  k / o q;q Ž i m0w ? o3w ?
‘ - < t ƒ - 1d/ Ž ? Ž )6 (W(sB Ž 1 m 1 A JXh = JA 1 C I ; I*JXh 1 E K C@C I ; 0>J E K ;Q=T ; <43 0 65 1' ?879<;>9ow ? ?
/ kxnk q r+Ž ? ? Dt ( v 1 w:o / Ž M k / w / oDt (sr O d ƒ < 4 o / Ž ‰sB
x - m ” ƒ rgo3m - Ž ? ? ? Ž ooŽ ? & ? Ž $ k "o 1 rŽ >  ;? M? Ž V6 (W(98 6Ž  K -%K>JLK ; I C+ I E I C A A K “ q o / x - r;k / Ž o 4 - xno3m
;Q= A J ? K E<;Q= = M I ; I C@C I K <aŽ Q - ƒ o m 1 xno / q 1 r
‘ om0m:o q Ž ? Ž &-(0o 0 ƒ ƒ Ž ? ” ? Ž - ƒ x - m Ž ? ? Ž $ M <0|0<:1 q BŽ ? Ž V6 (W(sB Ž K <>E;)<>= =I C
!c A>; JHI C Ž 8 b Ž B26+8
‘ <01 ƒdƒ oŽ ? ? DŽ $ T / - q=q - / wŽ ? Ž i bnbnb ]Ž %' J E8 C# *+ E= = K < E8 KU- $ I C <>E; J ?B= =I C1 = = K E%RŽ
6 Ž 6 sˆ
- / m0o / Ž T ? Ž $ k “ 1 m q knm Ž > ? ? Ž )6 (sB9i LŽ * I EA>; K M )<>= =I C1 = = K>J1= K Ž i ( Ž i
o / m0o / ŽLd ? Ž 6)(*(si Ž. K E? )< K ; K <; ( I ;QC#/\ K 1 E I ;<aŽ ot3r <0/ o k9r;o q 1 m (  q 1 t q Ž
8 b 6 Ž i9B ("
6‰
o / m0o / Žd ? Ž 6)(W( Ž 1 m f =@E K1<j I ; < $h I*J1= K <B= J2 S>< K ; I E=T J I*JXh K ;"Ž ” &
” B / k2t ? 8 b Ž ‰nB
1 m 5 o3r+Ž M? > ? Ž 6)("26 ŽXMN K <>= <aŽ m 1 xno / q 1 r  k „ k tD(0o q rgo / Ž o 4 Q k / O
1 m 5 o3r+Ž M"? > ? Ž:x - m k / m Ž ? ? Ž $ - m q om Ž B ? ? Ž 6)( :6 ŽN KU <>E<;0)<>= =I CX! A>; JHI C Ž
i8Cˆ Ž 1 m 5 o3r+Ž M? > ? Žnx - m k / mŽ ? ? WŽ & - q=q k < ƒ Ž ? Ž ? knmsr - 1 m0o9Ž ? Ž - m q o3mŽ B ? ? Ž $ B - /=/ k ƒdƒ Ž
Ž K$ <>E;01<>= =I C! A>; JHI C Ž inˆni Ž ‰nˆ
T ? ? Ž V6 ("si - 1 m 5 o3r+Ž M? > ? Ž k “ 1 m q knmŽ > :? ? Ž - :r (0o / Ž H? M? :Ž $ ? knmsr - 1 m0o9Ž ? Ž 6)("si “ ŽW K, <>E<;0/\
1<>= =I C! A>; JHI C Ž i9‰si Ž 6n6
1 m 5 o3r+Ž M? > ? Ž x - m k / m Ž ? ? Ž & - q=q "k < ƒ Ž ? Ž - m q omŽ B ? ? Ž $ ? knmsr - 1 m0o9Ž ? Ž 6)(" Ž
K <>E;01<>= =I C"! A>; JHI C Ž i9"‰ Ž 1 m 5 o3r+Ž M? > ? Ž - m q o3mŽ B ? ? Ž $ x - m k / m Ž ? ? Ž )6 (" XŽ * I EA>; K Ž b Ž B 26
1 m 5 o3r+Ž M? > ? Ž - m q o3mŽ B ? ? Ž 1 o “ o / r+:Ž ? Žx - m k / mŽ ? ? 6Ž ? k9mCr - 1 m:o9Ž ? Ž - r (0o / Ž
Ž KU <>E;01<>= =I C"! A>; JHI C Ž 6—ˆ Ž BnB
? > ? Ž duo | ƒ o / Ž ? ? Ž $ -9v@“ Ž M? ? Ž )6 ("nB 1 m 5 o3r+Ž M? > ? Ž )6 ("" Ž 1 m Wh I*J1= K < = J K CF=T/\ I*JXh <>E K ;0)< K = <>? C A 3 0 65 1' ?879
ow ? ? B ( /=1 q rgom q om + M - ƒ q;5 -n- / wŽ ? ? / - m0w q omŽ M k / w / o3Dt (sr O o 1 w0o ƒ Ž b ˆ
1 m 5 o3r M? > ? o3r - ƒ ? Ž )6 (W(:6 Ž K <>E;01<>= =I CL!c A>; JHI C Ž B Ž i9‰
1 m 5 o3r+Ž M? > ? o3r - ƒ ? Ž )6 (*(98 #Ž K$ <>E;)<>= =I C! A ; JHI C Ž 8 b Ž (
k k wŽ ? ” ? Ž )6 (*(si #Ž K$ <>E;)<>= =I C! A ; JHI C Ž n‰ Ž ˆ (
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