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Dual iT 1 Manual

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2%
%7>.9∃7<6−:≅:;.5
.−2.6<60:∗64.2;<60
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∗:∋79>79;
95Χ55495>Ε>7Χ1><59∆Ε>789<6∆ 8>5>259=
25Χ∆9==Ε>7Χ75=ΟΣ5>Ε>4
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?45Β5ΒΟ∆75>1>>∆
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4.2;<60
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41Χ5ΒΟ∆
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25495>∆
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−2.6<60:∗64.2;<60
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;Π>>5>)95<5938∆65Χ∆Χ∆5<<5>?25ΧΧ938Ε=
>?Β=1<5>∗5Η∆
Ε6ϑΟ8<Ε>75>?45Β
! 1>4<Ε>7ΧΧ38Β9∆∆5
81>45<∆
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Χ9>4−1Β5>ϑ59385>?45Β59>75∆Β175>5−1Β5>ϑ59385>45Β
:5Γ59<975> >8125Β
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>Χ5<∆5>5>Ο<<5>;1>>5Χ≅1ΧΧ95Β5>41ΧΧ495)?6∆Γ1Β5
45Χ5ΒΟ∆5ΧΨ59>6Β95Β∆ςΕ>441Χ5ΒΟ∆>938∆=58Β1Ε659>5
5495>Ε>7Β51795Β∆
>495Χ5=1<<57585>)9529∆∆5Γ956?<7∆Φ?Β
5ΒΟ∆1ΕΧΧ381<∆5>
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5ΒΟ∆59>Χ381<∆5>
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9Χ∆Γ9545Β25∆Β952Χ25Β59∆
>81<∆ΧΦ5Βϑ5938>9Χ

61∗4;:=.9Α.2,162:
.9Β;.∆+.9:2,1;
5Β>25495>Ε>7 
26>.2:.Α<9∗6−1∗+<60 
)9385Β859∆Χ89>Γ59Χ5 
+=71>7=9∆1∆∆5Β95> 
2..:,19.2+<60−.:.9Β;.: 
5Β∀9565ΒΕ=61>7 
(2.∃2.−∗:.9Β;Α<5.;92.+=79+.9.2;.6 
−95)95495?45>≅<1∆∆5=?>∆95Β5>
−95)9541Χ∃5∆ϑ75ΒΟ∆1>Χ38<95Σ5> 
−95)954951∆∆5Β9545Β5Β>25495>Ε>759><575>
−95)959&?49&8?>51>4?3;5>
−95)9559>55Η∆5Β>5Ε49?∋Ε5<<51>Χ38<95Σ5>
−95)9545>>∆5>>5>5=≅61>7Φ5Β25ΧΧ5Β>
−95)95,945?ΧΓ9545Β7525> 
(2.∃2.−∗:.9Β;+.−2.6.6 
−95)9541Χ5ΒΟ∆59>Ε>41ΕΧΧ381<∆5>
−95)95495∋Ε5<<559>Χ∆5<<5> 
−95)95495∀1Ε∆Χ∆ΟΒ;559>Χ∆5<<5> 
−95)9545>!<1>759>Χ∆5<<5> 
−95)95495)∆Ε==Χ381<∆Ε>759>Χ381<∆5> 
−95)95495+8Βϑ59∆=1>Ε5<<59>Χ∆5<<5>
−95)95495)<55≅Ε>;∆9?>25>Ε∆ϑ5> 
(2.∃2.−∗:#∗−27+.−2.6.6  
−95)9559>5>)5>45Β59>Χ∆5<<5> 
−95)95)5>45ΒΧ≅59385Β>  
−95)9541Χ5ΒΟ∆1ΕΧΧ381<∆5>  
(2.∃2.192!7−2!176.=.9>.6−.6 
9>Χ381<∆5>  
ΕΧΧ381<∆5>  
−95)959&8?>59&?4,945?ΧΓ9545Β7525>  
−95)95 8Β5>9&?4 8Β9&8?>5Θ25Β41Χ#5>Θ
25495>5> 
(2.∃2.−∗:.9Β;9.2620.6  
(2.∃2..14.9+.:.2;20.6  
%.,162:,1.∗;.6  
6;:790<60:126>.2:.  
5ΒΟ∆5Θ25ΒΧ938∆

.96+.−2.6<60
15
29
28
27
26
16
18
20
22
17
19
21
23
24
25
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&%−(
9>ΕΧΧ381<∆5>)∗∃/

)∀& )<55≅Ε>;∆9?>

#+∗ )∆Ε==Χ381<∆Ε>7
 #∃+ 9&8?>59&?4#5>Θ+&
&()∗(149?Χ5>45ΒΓΟ8<5>
 )%+( 5∆Β952Χ1Β∆Ε>;∆9?>9&8?>5(149?
,Ε49?,945? ∃∀ ∃5Η∆5Β>5
∋Ε5<<5
 ∃∗( 5Χ∆Ο∆975>
ΒΘ3;5>Ε=59>#5>Θ1ΕΧϑΕΓΟ8<5>
?45Β59>5%≅∆9?>9>7125ϑΕ25Χ∆Ο
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 ##∃.∗ ∃Ο38Χ∆5Β∗9∆5<,?Β<1Ε6
)5>45ΒΧΕ38<1Ε6
 !#∃+ 9&8?>59&?4#5>Θ%−∃
&()∗(149?Χ5>45ΒΓΟ8<5>
 # &∀/&+)
 Γ,%∀+# ∀1Ε∆Χ∆ΟΒ;5∆1Χ∆5>
 Γ)) ∗9565>ΟΧΧ5Β575<>
 Γ∗(∀ Π85>Β575<>

##∗ #
&()∗)5>45ΒΧ≅59385Β>+8Βϑ59∆
 ""&(, ,?Β975Β∗9∆5<(Θ3;<1Ε6
)5>45ΒΧΕ38<1Ε6
 9&%#∃+ #5>ΘΠ66>5>ϑΕΒΘ3;
9>Γ59Χ5ϑΕΒ1>4812Ε>7
26>.2:.Α<9∗6−1∗+<60
∀5Χ5>)9529∆∆51<<5)9385Β859∆Χ89>Γ59Χ5Χ?Β76Ο<∆974ΕΒ38
Ε>425Γ18Β5>)95495Χ56ΘΒΧ≅Ο∆5Β5Β175>1Ε656?<
75>)959==5Β1<<5−1Β>Ε>75>Ε>49>Γ59Χ59>495Χ5Β
5495>Ε>7Χ1><59∆Ε>7Ε>41Ε645Β(Θ3;Χ59∆545Χ5ΒΟ∆5Χ
∃2,1.91.2;:126>.2:.
∋79:2,1;
1Χ5ΒΟ∆41Β6>ΕΒ1>59>5∃5∆ϑΧ≅1>>Ε>7Φ?>
,Κϑ1>75Χ38<?ΧΧ5>Γ5Β45>,5ΒΧΕ385>)95
>95=1<Χ41Χ5ΒΟ∆=9∆59>5Β1>45Β5>)≅1>>Ε>7ϑΕ
25∆Β5925>
,5ΒΓ5>45>)95>ΕΒ41Χ=9∆75<9565Β∆5)∆53;5Β>5∆ϑ∆59<
5Β∃5∆ϑΧ∆53;5Β41Β65ΒΧ∆1>75Χ38<?ΧΧ5>Γ5Β45>>138
45=495 >Χ∆1<<1∆9?>Φ?ΒΧ38Β96∆Χ=ΟΣ97255>45∆9Χ∆
−5>>41Χ∃5∆ϑ;125<4565;∆9Χ∆2ϑΓΓ5>>41Χ5ΒΟ∆
Χ?>Χ∆975)38Ο45>1Ε6Γ59Χ∆41Β65Χ>938∆9>5∆Β95275
>?==5>Γ5Β45>
59=2ϑ9585>45Χ∃5∆ϑ∆59<ΧΦ?>45Β)∆53;4?Χ51=
)∆53;5Βϑ9585>>938∆1=!125<
+=5Ε5Β75618ΒΕ>44955618Β59>5Χ5<5;∆Β9Χ385>
)38<175ΧϑΕΦ5Β=5945>Χ5∆ϑ5>)9541Χ5ΒΟ∆Γ545Β
(575>>?38Χ?>Χ∆975Β5Ε38∆97;59∆1ΕΧ
∃58=5>)9541Χ5ΒΟ∆>938∆9>45Β∃Ο85Φ?>145
Γ1>>5>)Γ9==9>7≅??<Χ?45ΒΧ≅Β9∆ϑ5>45=−1ΧΧ5Β9>
5∆Β952
)∆5<<5>)95;59>558Ο<∆5Β=9∆<ΘΧΧ97;59∆ϑ<Ε=5>
Φ1Χ5>1Ε641Χ5ΒΟ∆95Χ5;Π>>∆5>Ε=61<<5>Ε>4495
1ΕΧ<1Ε65>45<ΘΧΧ97;59∆;1>>ϑΕ5Β852<9385Β5Χ38Ο49
7Ε>72ϑΓϑΕ=(9Χ9;?59>5Χ5<5;∆Β9Χ385>)38<175Χ6Θ8
Β5>
)?<<∆5>Β5=4;ΠΒ≅5Β?45Β<ΘΧΧ97;59∆9>41Χ5ΒΟ∆75
<1>75>ϑ9585>)95Χ?6?Β∆45>∃5∆ϑΧ∆53;5Β1ΕΧ45Β
)∆53;4?Χ5∀1ΧΧ5>)9541Χ5ΒΟ∆Φ?>ΑΕ1<969ϑ95Β∆5=
138≅5ΒΧ?>1<Θ25Β≅ΒΘ65>25Φ?Β)955ΧΓ9545Β9>5
∆Β952>58=5>>45Β>61<<Χ25Χ∆58∆4955618Β59>5Χ
5<5;∆Β9Χ385>)38<17Χ
Μ66>5>Χ95>938∆41Χ58ΟΕΧ5>45Β>61<<Χ25Χ∆58∆495
5618Β59>5Χ5<5;∆Β9Χ385>)38<17Χ
,5ΒΧΕ385>)95>95=1<Χ59>4565;∆5Χ5ΒΟ∆Χ5<2Χ∆ϑΕ
Β5≅1Β95Β5>−5>45>)95Χ9389==5Β1>59>5Ε>Χ5Β5Β
!Ε>45>495>Χ∆Χ∆5<<5>
Μ66>5>)9541Χ5ΒΟ∆1Ε6;59>5>1<<Υ495Χ41Β6>ΕΒ45Β
138=1>>
Β5=4;ΠΒ≅5Βϑ∃145<>#Θ>ϑ5>5∆34ΘΒ65>>938∆9>
41Χ >>5Β545Χ5ΒΟ∆5Χ61<<5>
Χ4ΘΒ65>;59>5?665>5>Β1>4ΑΕ5<<5>Γ95ϑ2Β5>
>5>45!5Βϑ5>1Ε641Χ5ΒΟ∆75Χ∆5<<∆Γ5Β45>
9>Γ59Χ5ϑΕΒ1>4812Ε>7

∀1ΧΧ5>)95!9>45Β>95=1<ΧΕ>251Ε6Χ938∆97∆495Χ5Χ5
ΒΟ∆25>Ε∆ϑ5>
Ν25Β<1ΧΧ5>)95−1Β∆Ε>7Χ1Β259∆5>Χ∆5∆ΧΑΕ1<969ϑ95Β∆5=
138≅5ΒΧ?>1<>45Β>61<<Χ756Ο8Β45>)95Χ938Ε>41>45
Β5
95>Χ38<ΕΧΧ;?>∆1;∆51Ε645Β5ΒΟ∆5ΒΘ3;Χ59∆5>938∆
=9∆=5∆1<<9Χ385>575>Χ∆Ο>45>?45Β45>9>75Β>25
ΒΘ8Β5>95?<75;Π>>5>!ΕΒϑΧ38<ΘΧΧ5Χ59>
1Χ5ΒΟ∆2<592∆1Ε389>1ΕΧ75Χ381<∆5∆5=0ΕΧ∆1>4
)∆1>42Ι=9∆45=)∆Β?=>5∆ϑΦ5Β2Ε>45>09585>)9545>
)∆53;5Β45Χ∃5∆ϑ∆59<Χ1ΕΧ45Β)∆53;4?Χ561<<Χ)9541Χ
5ΒΟ∆Θ25Β59>5><Ο>75Β5>059∆Β1Ε=>938∆25>Ε∆ϑ5>
09585>)95>ΕΒ1=∃5∆ϑΧ∆53;5Β
ΠΒ5>)95#ΕΧ9;>938∆=9∆7Β?Σ5Β∀1Ε∆Χ∆ΟΒ;595Χ;1>>
ϑΕ2<5925>45>58ΠΒΧ38Ο45>6Θ8Β5>
∃58=5>)95;59>5,5ΒΟ>45ΒΕ>75>1=)ΙΧ∆5=?45Β1=
0Ε258ΠΒΦ?Β∃938∆1Ε∆?Β9Χ95Β∆5,5ΒΟ>45ΒΕ>75>;Π>>5>
495)9385Β859∆495Β6Θ<<Ε>7Φ?>(938∆<9>95>Ε>4495)Ι
Χ∆5=<59Χ∆Ε>72559>∆ΒΟ38∆975>
,5Β=5945>)955618Β5>4ΕΒ38ΒΟ>45?45Β5<5;∆Β9Χ385
)38<Ο759>45=)95)∆53;4?Χ5>,5Β<Ο>75ΒΕ>7Χ;125<
Ε>49>∆57Β95Β∆55ΒΟ∆5Χ∆53;4?Χ5>>938∆Θ25Β<1Χ∆5>
,5ΒΓ5>45>)9559>5;?ΒΒ5;∆5)∆Β?=ΑΕ5<<5Υ)38<95Σ5>
)9541Χ&Β?4Ε;∆1>59>5?Β4>Ε>7Χ75=ΟΣ5)∆Β?=ΑΕ5<<5
1>Γ959>45Β5495>Ε>7Χ1><59∆Ε>725Χ38Β9525>2ϑΓ
Γ951=&Β?4Ε;∆1ΕΧ75Γ95Χ5>
95Χ5Χ5ΒΟ∆9Χ∆>938∆416ΘΒ25Χ∆9==∆4ΕΒ38&5ΒΧ?>5>
59>Χ38<95Σ<938!9>45Β=9∆59>75Χ38ΒΟ>;∆5>≅8ΙΧ9Χ385>
Χ5>Χ?Β9Χ385>?45Β759Χ∆975>Ο897;59∆5>?45Β=1>75<Χ
Β618ΒΕ>7Ε>4?45Β=1>75<Χ−9ΧΧ5>25>Ε∆ϑ∆ϑΕΓ5Β
45>5ΧΧ5945>>Χ95Γ5Β45>4ΕΒ3859>56ΘΒ98Β5)9385Β
859∆ϑΕΧ∆Ο>4975&5ΒΧ?>251Ε6Χ938∆97∆?45Β5Β895<∆5>Φ?>
98Β>Γ59ΧΕ>75>Γ9541Χ5ΒΟ∆ϑΕ25>Ε∆ϑ5>9Χ∆
!9>45Β=ΘΧΧ5>251Ε6Χ938∆97∆Γ5Β45>Ε=Χ9385ΒϑΕΧ∆5<
<5>41ΧΧΧ95>938∆=9∆45=5ΒΟ∆Χ≅95<5>
Χ9Χ∆Φ5Β2?∆5>+=21Ε∆5>1=5ΒΟ∆Φ?ΒϑΕ>58=5>
5Χ38Ο497∆55ΒΟ∆52ϑΓ25Χ38Ο497∆50Ε258ΠΒ∆59<5
4ΘΒ65>>938∆=58ΒΦ5ΒΓ5>45∆Γ5Β45>
26>.2:
1Χ∆9;5∆∆=9∆45Β&Β?4Ε;∆25ϑ5938>Ε>72569>45∆Χ938
1Ε645Β(Θ3;Χ59∆545Χ5ΒΟ∆Χ
95Χ5Χ&Β?4Ε;∆9Χ∆>938∆ϑΕ=9>Χ1∆ϑ9=Β595>75597
>5∆,5ΒΓ5>45>)955Χ>ΕΒ9>>5Β81<2Φ?>52ΟΕ45>
Ε>4>938∆9>1=≅9>7618Βϑ5Ε75>1Ε6??∆5>?45Β9>
Ο8><9385>+=752Ε>75>
95Χ5Χ&Β?4Ε;∆41Β6>ΕΒ=9∆45=9=∀9565ΒΕ=61>7
5>∆81<∆5>5>∃5∆ϑ∆59<25∆Β9525>Γ5Β45>
9>Γ59Χ5ϑΕΒ1>4812Ε>7
&50∗6052;∗;;.92.6
38∆5>)9541Β1Ε641ΧΧ1∆∆5Β95>>938∆9>495Ο>45
Φ?>!9>45Β>75<1>75>!9>45Β;Π>>∆5>1∆∆5Β95>9>45>
#Ε>4>58=5>Ε>4Φ5ΒΧ38<Ε3;5>95Χ;1>>ϑΕ5Β>Χ∆
816∆5>5ΧΕ>4859∆ΧΧ38Ο45>6Θ8Β5> >495Χ5=1<<Χ?
6?Β∆59>5>Βϑ∆1Ε6ΧΕ385>
∃?Β=1<51∆∆5Β95>4ΘΒ65>>938∆75<145>5Β89∆ϑ∆?45Β9>Χ
?665>55Ε5Β75Γ?Β65>Γ5Β45>?847:276:0./∗19
5961<Χ3859>75<57∆5Β1∆∆5Β9525Χ∆58∆?847:276:0.
/∗19
−538Χ5<>)95Χ38ΓΟ385ΒΓ5Β45>451∆∆5Β95>Β538∆ϑ59
∆971ΕΧ
−538Χ5<>)959==5Β1<<51∆∆5Β95>7<5938ϑ59∆971ΕΧΕ>4
Φ5ΒΓ5>45>)951∆∆5Β95>45Χ7<59385>∗Ι≅Χ
,5ΒΧΕ385>)95>938∆4951∆∆5Β95Γ9545Β1Ε6ϑΕ<145>
1ΕΧ59>1>45ΒϑΕ>58=5>1Ε659>5∗5=≅5Β1∆ΕΒΦ?>Θ25Β
ΡϑΕ5Β89∆ϑ5>?45ΒϑΕΦ5Β2Β5>>5>
>∆Χ?Β75>)95Φ5Β2Β1Ε38∆51∆∆5Β95>Χ?6?Β∆ΒΧ5∆ϑ5>
)951∆∆5Β95>>ΕΒ4ΕΒ381∆∆5Β95>45ΧΒ938∆975>∗Ι≅Χ
Ε>445ΒΒ938∆975>#?45<<>Ε==5Β
∋79:2,1;
ΕΧ75<1Ε65>5?45Β25Χ38Ο497∆51∆∆5Β95>;Π>>5>259
5ΒΘ8ΒΕ>7=9∆45Β1Ε∆,5ΒΟ∆ϑΕ>75>Φ5ΒΕΒΧ1385>5
>Ε∆ϑ5>)959>495Χ5=1<<75597>5∆5)38Ε∆ϑ81>4Χ38Ε
85(59>975>)9541Χ1∆∆5Β956138=9∆59>5=∆Β?3;5>5>
∗Ε38
(2,1;20.926>.2:Α<96;:790<60
1∆∆5Β95>;Π>>5>96∆Χ∆?6655>∆81<∆5>4954955ΧΕ>4859∆Ε>4
495+=Γ5<∆Χ38Ο4975>
1Χ&Β?4Ε;∆5>∆8Ο<∆1∆∆5Β95>49545ΒΕΒ?≅Ο9Χ385>(938∆<9>95
Ε>∆5Β<9575>95Χ54ΘΒ65>>938∆=9∆45=>?Β=1<5>
1ΕΧ=Θ<<5>∆Χ?Β7∆Γ5Β45>
9∆∆59>6?Β=95Β5>)95Χ938Θ25Β495ΠΒ∆<9385>5Χ∆9==Ε>75>ϑΕ
75Χ?>45Β∆5>>∆Χ?Β7Ε>7Φ?>1∆∆5Β95>414ΕΒ38495;?ΒΒ5;∆5
>∆Χ?Β7Ε>7+=Γ5<∆Ε>4#5>Χ385>Φ?Β=Π7<9385>
>571∆9Φ5>?<75>75Χ38Θ∆ϑ∆Γ5Β45>
95Χ5Χ059385>69>45>)951Ε6Χ3814Χ∆?6681<∆975>
1∆∆5Β95>
9>Γ59Χ5ϑΕΒ1>4812Ε>7

</:;.44.6−.:.9Β;.:
)∆5<<5>)9541Χ5ΒΟ∆1Ε659>5>65Χ∆5>Χ9385Β5>Ε>4
8?Β9ϑ?>∆1<5>+>∆5Β7ΒΕ>4)?Β75>)956ΘΒ7Ε∆55<Θ6∆Ε>7
)∆5<<5>)9541Χ5ΒΟ∆>938∆1Ε6Γ59385%25Β6<Ο385>Γ95
∗5≅≅938553;5>?45Β9>45Β∃Ο85Φ?>1Β49>5>Ε>4
−1>4258Ο>75>1Ε695∀Θ6∆Ε>7ΧΠ66>Ε>75>;Π>>∆5>
Φ5Β453;∆Γ5Β45>95>?∆Γ5>4975∀Ε6∆ϑ9Β;Ε<1∆9?>;1>>
414ΕΒ38Ε>∆5Β2Β?385>Γ5Β45>95Χ;Π>>∆5=Π7<9385Β
Γ59Χ5ϑΕ59>5=5ΒΟ∆52Β1>46Θ8Β5>
95∀Θ6∆Ε>7ΧΧ38<9∆ϑ5=ΘΧΧ5>Χ∆5∆Χ6Β592<5925>)954ΘΒ
65>>938∆4ΕΒ381Β49>5>53;5>?45Β059∆Ε>75>Φ5Β
453;∆Γ5Β45>
)∆5<<5>)9541Χ5ΒΟ∆>938∆9>45Β∃Ο85Φ?>−ΟΒ=5
ΑΕ5<<5>Γ9559ϑ;ΠΒ≅5Β>1Ε6,5Β=5945>)9549Β5;∆5
)?>>5>59>Χ∆Β18<Ε>75>Ε>4%Β∆5=9∆1ΕΣ5Β75ΓΠ8><938
Φ95<)∆1Ε2
5138∆5>)9541ΧΧ4955ΒΟ∆56ΘΣ5Ε+61Β29752
4ΒΘ3;51Ε625Χ∆9==∆5>#Π25<?25Β6<Ο385>89>∆5Β<1ΧΧ5>
;Π>>∆5>,5ΒΓ5>45>)9559>5>)38Ε∆ϑϑΓ9Χ385> 8Β5>
#Π25<>Ε>445=5ΒΟ∆
5Β)∆1>4?Β∆41Β6>938∆9>(ΟΕ=5>=9∆8?85Β∀Ε6∆65Ε38
∆97;59∆ϑ!Θ385?45Β)1Ε>175ΓΟ8<∆Γ5Β45>41
∃9545ΒΧ38<Ο75Φ?>!?>45>ΧΓ1ΧΧ5ΒϑΕΒ5Χ38Ο497Ε>7
45Χ5ΒΟ∆5Χ6Θ8Β5>;Π>>5>1Χ5ΒΟ∆9Χ∆6ΘΒ495,5Β
Γ5>4Ε>79>∆Β?3;5>5Β+=752Ε>7Ε>49>75=ΟΣ97∆5=
!<9=1Φ?Β75Χ585>Ε>441Β6>938∆∗Β?≅6?45Β)≅Β9∆ϑΓ1Χ
Χ5Β1ΕΧ75Χ5∆ϑ∆Γ5Β45>
)954ΘΒ65>41Χ5ΒΟ∆>ΕΒ9>Γ1175Β538∆5Β&?Χ9∆9?>
25∆Β5925>
1<∆5>)9541Χ5ΒΟ∆Φ?>5ΒΟ∆5>65Β>495Χ∆1Β;5#1
7>5∆65<45Β5Βϑ5Ε75>
59,5ΒΓ5>4Ε>7Φ?>>5Β795Χ≅1Β<1=≅5>9>Ε>=9∆∆5<21
Β5Β∃Ο85;1>>776495Ε>;∆9?>45Χ5ΒΟ∆5Χ2559>
∆ΒΟ38∆97∆Γ5Β45>
)∆5<<5>)95;59>5Χ38Γ5Β5>575>Χ∆Ο>451Ε641Χ5
ΒΟ∆
−5>>)9541Χ5ΒΟ∆Φ?>59>5Β;1<∆5>9>59>5Γ1Β=5
+=752Ε>72Β9>75>;1>>Χ9389=>>5Β5>45Χ5ΒΟ∆5Χ
5Ε38∆97;59∆>9545ΒΧ38<175>−1Β∆5>)959>495Χ5=1<<
5∆Γ159>5)∆Ε>4525Φ?Β)955Χ9>5∆Β952>58=5>
)∆5<<5>)95Χ9385Β41ΧΧ41Χ∃5∆ϑ;125<?45Β45Β)∆53;5Β
9==5Β<5938∆ϑΕ7Ο>7<938Χ9>4Χ?41ΧΧ)9541Χ5ΒΟ∆
Χ38>5<<Φ?>45Β)∆Β?=Φ5ΒΧ?Β7Ε>7∆Β5>>5>;Π>>5>,5Β
<575>)9541Χ∃5∆ϑ;125<Χ?41ΧΧ>95=1>441ΒΘ25Β
Χ∆?<≅5Β>;1>>
95)∆53;4?Χ5Χ?<<∆5=Π7<938Χ∆>181=5ΒΟ∆Χ59>
0ΕΒ∃5∆ϑΦ5Β29>4Ε>7∃5∆ϑΧ∆53;5ΒΦ?<<Χ∆Ο>4979>495
)∆53;4?Χ5Χ∆53;5>
9>Γ59Χ5ϑΕΒ1>4812Ε>7

,5ΒΓ5>45>)9559>5>75597>5∆5><5938∆ϑΕ7Ο>7<9385>
∃5∆ϑ1>Χ38<ΕΧΧΕ>4Φ5Β=5945>)95495,5ΒΓ5>4Ε>7Φ?>
#58Β6138Χ∆53;4?Χ5>
∃5∆ϑ∆59<2ϑΓ)∆53;5Β>938∆=9∆>1ΧΧ5>Ο>45>1>61Χ
Χ5>5618Β59>5Χ5<5;∆Β9Χ385>)38<175Χ
59)∆ΠΒΕ>75>?45Β(1Ε38Ε>45ΒΕ38Χ29<4Ε>71ΕΧ
45=58ΟΕΧ5Χ?6?Β∆∃5∆ϑΧ∆53;5Β1ΕΧ45Β)∆53;4?Χ5
ϑ9585>
09585>)95Φ?ΒΕΧ2ΒΕ3859>5Χ5Γ9∆∆5ΒΧ45>∃5∆ϑ
Χ∆53;5Β1ΕΧ45Β)∆53;4?Χ5
−5>>41Χ5ΒΟ∆<Ο>75Β5059∆>938∆25>Ε∆ϑ∆Γ9Β4ϑ
Φ?Β>∆Β9∆∆59>5Β<Ο>75Β5>(59Χ5ϑ9585>)9545>∃5∆ϑ
Χ∆53;5Β1ΕΧ45Β)∆53;4?Χ5
0Ε8?85∀1Ε∆Χ∆ΟΒ;525Χ?>45ΒΧ259!?≅68ΠΒ5Β>;1>>ϑΕ
58ΠΒΧ38Ο45>6Θ8Β5>
.:;255<60:0.5ΒΕ.9.+9∗<,1
1Χ5ΒΟ∆9Χ∆1<Χ?3;9>7Χ∆1∆9?>6ΘΒ495−9545Β7125Φ?>
#ΕΧ9;1>75Χ38<?ΧΧ5>5Β9&8?>5Χ9&?4ΧΧ?Γ95Φ?>5Η∆5Β
>5>5ΒΟ∆5>5>∆Γ93;5<∆
95Χ9Χ∆59>5ΒΟ∆45Β+>∆5Β81<∆Ε>7Χ5<5;∆Β?>9;Χ41Β6
>ΕΒϑΕ≅Β9Φ1∆5>Ε>4>938∆ϑΕ9>4ΕΧ∆Β95<<5>Ε>4;?==5Β
ϑ95<<5>0Γ53;5>Φ5ΒΓ5>45∆Γ5Β45>
955Χ38Β592Ε>745Χ5ΒΟ∆5Χ

2..:,19.2+<60−.:.9Β;.:
.92./.9<5/∗60
9∆∆5Χ∆5<<5>)95Χ9385Β41ΧΧ1<<5>1386?<75>41Ε675
6Θ8Β∆5>0Ε258ΠΒ∆59<5Φ?Β81>45>Χ9>4
∗%−()?Ε>4ΧΙΧ∆5=
5Β>25495>Ε>7
)∆53;5Β>5∆ϑ∆59<
?45>≅<1∆∆59>;<#?>∆175)38Β1Ε25>
495Χ55495>Ε>7Χ1><59∆Ε>7
(2.∃2.−∗:.9Β;Α<5.;92.+
=79+.9.2;.6
(2.∃2.−2.7−.684∗;;.576;2.9.6
! ,5Β29>45>)95495?45>≅<1∆∆5=9∆45=∗?Γ5Β=9∆
45==9∆75<9565Β∆5>#?>∆175)5∆
! ∀575>)9541Χ)ΙΧ∆5=Φ?ΒΧ938∆971Ε6495)59∆5
 (∃
∀575>)9559>553;5Ε>∆5Β41=9∆41Χ58ΟΕΧ5>938∆
Φ5Β;Β1∆ϑ∆Γ9Β4
! #?>∆95Β5>)95495?45>≅<1∆∆5=9∆45>)38Β1Ε25>
1>45Β+>∆5ΒΧ59∆545Χ)ΙΧ∆5=Χ
! !?>∆Β?<<95Β5>)9512Χ38<95Σ5>4495)∆129<9∆Ο∆
−95)9541Χ5ΒΟ∆ϑΕ=5∆Β952Φ?Β25Β59∆5>

(2.∃2.−∗: .;Α0.9Β;∗6:,142.Ε.6
)38<95Σ5>)9541Χ5ΒΟ∆=9∆45==9∆75<9565Β∆5>)∆53;5Β
>5∆ϑ∆59<1>41Χ)∆Β?=>5∆ϑ,Κϑ1>
! 0ΕΒ)∆Β?=Φ5ΒΧ?Β7Ε>745Χ5ΒΟ∆5ΧϑΕ5ΒΧ∆41Χ!125<
45Χ)∆53;5Β>5∆ϑ∆59<Χ9>495Ε38Χ5 1=
5ΒΟ∆Χ∆53;5>Ε>441>>41Χ)∆53;5Β>5∆ϑ∆59<9>495
)∆53;4?Χ5Χ∆53;5>
! ,5Β75Γ9ΧΧ5Β>)95Χ93841ΧΧ4955∆Β952ΧΧ≅1>>Ε>7
45Χ)∆53;5Β>5∆ϑ∆59<Χ=9∆45ΒΠΒ∆<9385>∃5∆ϑΧ≅1>>Ε>7
Θ25Β59>Χ∆9==∆25Φ?Β)955Χ9>495−1>4Χ∆53;4?Χ5
Χ∆53;5>
26>.2:
,5ΒΓ5>45>)95>ΕΒ41Χ=9∆75<9565Β∆5)∆53;5Β>5∆ϑ∆59<
09585>)95259∃938∆Φ5ΒΓ5>4Ε>745>)∆53;5Β1ΕΧ45Β
)∆53;4?Χ509585>)951=)∆53;5ΒΕ>4>938∆1=!125<
09585>)95Φ?ΒΕΧ2ΒΕ3859>5Χ5Γ9∆∆5ΒΧ45>∃5∆ϑΧ∆53
;5Β−5>>41Χ5ΒΟ∆<Ο>75Β5059∆>938∆25>Ε∆ϑ∆Γ9Β4ϑ
Φ?Β>∆Β9∆∆59>5Β<Ο>75Β5>(59Χ5ϑ9585>)9545>∃5∆ϑ
Χ∆53;5Β
95259=5∆Β9525>∆Χ∆585>45−ΟΒ=5=ΕΧΧ4ΕΒ381ΕΧ
Β59385>45∀Ε6∆ϑ9Β;Ε<1∆9?>12756Θ8Β∆Γ5Β45>5Χ81<241Β6
41Χ5ΒΟ∆>938∆1275453;∆?45Β9>59>5=75Χ38<?ΧΧ5>5>
)38Β1>;Ε>∆5Β752Β138∆Γ5Β45>)?Β75>)956ΘΒ59>5>
Β59Β1Ε=Φ?>=9>45Χ∆5>Χ3=Ε=41Χ5ΒΟ∆
(2.∃2.−2.∗;;.92.−.9.96+.−2.
6<60.264.0.6
0Ε=5∆Β95245Β5Β>25495>Ε>79Χ∆59>51∆∆5Β95Φ?=
∗Ι≅(,25Β59∆Χ59>75<57∆
! >∆65Β>5>)9545>&<1Χ∆9;Χ∆Β5965>Γ95127529<45∆
)?<<∆54955Β>25495>Ε>71Ε69>7125>>938∆=58ΒΒ51
795Β5>Γ538Χ5<>)95495!>?≅6ϑ5<<51ΕΧ585>)9541
ϑΕ6?<75>45Β=1Σ5>Φ?Β
! >∆65Β>5>)9545>1∆∆5Β9581<∆5Β45Β5Β>25495
>Ε>74Β585>)9541ϑΕ4955Β>25495>Ε>7Ε=
! ΒΘ3;5>)9545>525<9>&659<Β938∆Ε>7>1389>
>5>
−95)9541Χ5ΒΟ∆ϑΕ=5∆Β952Φ?Β25Β59∆5>

! 09585>)9541>>45>1∆∆5Β9581<∆5Β1ΕΧ45Β5Β>
25495>Ε>7Ε>4>58=5>)9545>1∆∆5Β9581<∆5Β85Β
1ΕΧ
! ∀575>)9559>51∆∆5Β95Φ?=∗Ι≅(,59>
38∆5>)95259=9><575>1Ε6495Β938∆975&?<Ε>7
5Β&<ΕΧ≅?<ϑ597∆Γ9541Β75Χ∆5<<∆259Ε=754Β58∆5Β
5Β>25495>Ε>7>138?25>
! )38<95Σ5>)9541Χ1∆∆5Β956138Γ9545ΒΧ?Β76Ο<∆97Χ?
41ΧΧ45Β525<45Χ1∆∆5Β9581<∆5ΒΧ59>Β1Χ∆5∆
26>.2:
−9Β44955Β>25495>Ε>7<Ο>75Β5059∆>938∆25>Ε∆ϑ∆Χ?<<∆5
4951∆∆5Β9585Β1ΕΧ75>?==5>Γ5Β45>>45Β>61<<Χ;1>>
4955Β>25495>Ε>74ΕΒ38ΕΧ<1Ε65>45Β1∆∆5Β9525Χ38Ο
497∆Γ5Β45>
595495>Ε>745Χ5ΒΟ∆5Χ=9∆45Β5Β>25495>Ε>79Χ∆
6?<75>45ΧϑΕ25138∆5>
! 955Β>25495>Ε>7)5>45Β1Ε645>=≅6Ο>75Β1=
5ΒΟ∆Β938∆5>95Χ5Β2569>45∆Χ938>525>45=9Χ
≅<1Ι
! Χ=ΕΧΧ)938∆Φ5Β29>4Ε>7ϑΓ9Χ385>)5>45ΒΕ>4
=≅6Ο>75Β75ΓΟ8Β<59Χ∆5∆Χ59>
∃9==∆495(5938Γ59∆545Β5Β>25495>Ε>712Χ?<<∆5>495
1∆∆5Β95>7575>>5Ε51ΕΧ75Γ538Χ5<∆Γ5Β45>
(2.∃2.2!7−2!176.∗6−7,3.6
! ∃58=5>)95 8Β5>9&?441Χ9&8?>51ΕΧ45Β)38Ε∆ϑ
8Θ<<52ϑΓ∗1Χ385Ε>4Χ5∆ϑ5>)95 8Β5>9&?441Χ
9&8?>5Φ?ΒΧ938∆979>41Χ?3;59>
! 38∆5>)9541Β1Ε641ΧΧ)95 8Β5>9&?49&8?>575
Β1451Ε641Χ?3;Χ∆53;5>,5Β29575>?45Β;9≅≅5>
)9545>9&?49&8?>5>938∆ΓΟ8Β5>4495Χ5Β1Ε645=
9&?49&8?>5>Χ38<ΕΧΧΧ∆53;∆95Χ;Π>>∆5ϑΕΒ5
Χ38Ο497Ε>745Χ?3;Χ?45Β45Χ9&?49&8?>56Θ8Β5>
! >∆65Β>5>)9545>9&?441Χ9&8?>59>45=)9545>
9&?441Χ9&8?>5Φ?ΒΧ938∆97>138?25>1>8525>2ϑΓ
85Β1ΕΧϑ9585>
26>.2:
58∆25945Β#ΕΧ9;Γ9545Β712559>5Χ1Ε675Χ∆53;∆5>
9&8?>559>>ΒΕ659>Χ∆?≅≅∆41Χ5ΒΟ∆=9∆45Β−9545Β
7125Ε>445Β!<9>75<∆?>9Χ∆8ΠΒ21Β
(2.−2.33<:−.:2!7−0.4∗−.6>.9−.6
)?21<4)95 8Β5>9&?41>754?3;∆8125>Γ9Β445Β;;Ε
259+.:;.1.6−.5∃5∆ϑ1>Χ38<ΕΧΧ1Ε675<145>
26>.2:
59,5ΒΓ5>4Ε>759>5Χ9&?4?45Β1>45Β5>#&&<1Ι5ΒΧ
45Β62,1;Θ25Β495?3;9>7Χ∆1∆9?>1>75Χ38<?ΧΧ5>Γ9Β4
5Β6?<7∆;59>51Ε∆?=1∆9Χ385;;ΕΕ6<14Ε>7
−95)9541Χ5ΒΟ∆ϑΕ=5∆Β952Φ?Β25Β59∆5>

(2.∃2..26..?;.96.<−27∀<.44.∗6
:,142.Ε.6
)95;Π>>5>45>∗?>59>5Χ5Η∆5Β>5>5ΒΟ∆5Χϑ∗,
5ΒΟ∆,&<1Ι5Β#&&<1Ι5ΒΘ25Β495∀1Ε∆Χ≅Β5385Β
45Χ5ΒΟ∆5ΧΓ9545Β7525>1ϑΕ;Π>>5>)9545>>
Χ38<ΕΧΧ+ % ∃?45Β∀ ∃ ∃Φ5ΒΓ5>45>
! )38<95Σ5>)95495Ε49?;125<45ΧΕ49?1ΕΧ71>7Χ
8Β5Χ5Η∆5Β>5>5ΒΟ∆5Χ1>45>
+ % ∃>Χ38<ΕΧΧΗ(9>38ϑ
Φ?>45Β)∆5Β5?1><175?45Β)≅95<5;?>Χ?<51>2ϑΓ
59>
Ε49?;125<=9∆==!<9>;5>Χ∆53;5Β1>∀ ∃ ∃
ϑ#&&<1Ι5Β
! −Ο8<5>)95=9∆
)%+(4955∆Β952Χ1Β∆
,2ϑΓ∀ ∃
! (575<>)95495∀1Ε∆Χ∆ΟΒ;51=1>75Χ38<?ΧΧ5>5>
5ΒΟ∆Χ?Γ95=9∆45>∗1Χ∆5>Υ,%∀
! )∆1Β∆5>)95495−9545Β71251=5Η∆5Β>5>5ΒΟ∆
(2.∃2.−.66;.66.6.58/∗60=.9
+.::.96
95>ϑ18<Ε>4∋Ε1<9∆Ο∆45ΒϑΕ5=≅61>75>45>)5>45Β
8Ο>7∆Φ?>45>=≅61>7ΧΦ5Β8Ο<∆>9ΧΧ5>1=Ε6Χ∆5<<?Β∆12
#9∆45Β+!−−ΕΒ61>∆5>>5#∃∗;1>>59>2Β1Ε3821
Β5Β=≅61>75Βϑ95<∆Γ5Β45>
! 95Χ5>∆5>>5=ΕΧΧ9>Φ?<<5Β∀Ο>751Ε645>7Θ>
Χ∆97Χ∆5>=≅61>71ΕΧ75Β938∆5∆Γ5Β45>
(2.∃2.∋2−.7:>2.−.90.+.6
! )38<95Σ5>)9541Χ5ΒΟ∆Θ25Β45>>Χ38<ΕΧΧ, %
%+∗1> 8Β5Β>Χ5875ΒΟ∆1>1ϑΕ25>Π∆975>
)9559>9>38!125<Γ5<385Χ9=Χ938>938∆9=∀95
65ΒΕ=61>72569>45∆
! )∆5<<5>)9545>9>71>745Χ5Β>Χ585ΒΧ,
∃&+∗1Ε6,945??45Β,)Χ95855495>Ε>7Χ1>
<59∆Ε>745Χ∗,
! −Ο8<5>)95=9∆
)%+(4955∆Β952Χ1Β∆
9&?4)∆1Β∆5>)95495,945?−9545Β71251=1>75
4?3;∆5>9&8?>52ϑΓ9&?4
26>.2:
)95;Π>>5>,945?ΧϑΦ?> 8Β5=,&<1Ι5Β?45Β 8Β5Β
,945?1=5Β1525>61<<ΧΓ9545Β7525>)38<95Σ5>)95
41ϑΕ41Χ5Η∆5Β>55ΒΟ∆1>45>>Χ38<ΕΧΧ, % ∃
1>1ϑΕ25>Π∆975>)9559>9>38!125<Γ5<385Χ9=Χ938
>938∆9=∀9565ΒΕ=61>72569>45∆
! −Ο8<5>)95=9∆
)%+(4955∆Β952Χ1Β∆,
, % ∃
! )∆1Β∆5>)95495,945?−9545Β71251=1>75Χ38<?Χ
Χ5>5>5ΒΟ∆
−95)9541Χ5ΒΟ∆25495>5>

(2.∃2.−∗:.9Β;+.−2.6.6
26>.2:
)95;Π>>5>41Χ5ΒΟ∆=9∆45>∗1Χ∆5>1=5ΒΟ∆Ε>4=9∆
45Β5Β>25495>Ε>725495>5> 45>∆9Χ3855Χ38Β96∆Ε>7
2545Ε∆5∆945>∆9Χ385Ε>;∆9?>
(2.∃2.−∗:.9Β;.26<6−∗<::,1∗4;.6
! )381<∆5>)9541Χ5ΒΟ∆=9∆
)%+(59>
! +=41Χ5ΒΟ∆1ΕΧϑΕΧ381<∆5>∗1Χ∆5
)%+(
<1>74ΒΘ3;5>1Χ5ΒΟ∆2569>45∆Χ9389>)∆1>4
2Ι
)95;Π>>5>41Χ5ΒΟ∆525>Χ?=9∆45Β∗1Χ∆5
45Β
5Β>25495>Ε>759>2ϑΓ1ΕΧΧ381<∆5>
(2.∃2.−2.∀<.44..26:;.44.6
! #9∆∗1Χ∆5
)%+(2ϑΓ)%+(
Χ381<∆5>)95ϑΕ9&?4( %+.∀ ∃
(2.∃2.−2.∗<;:;Β93..26:;.44.6
! ΒΘ3;5>)95495∗1Χ∆5>Υ,%∀2ϑΓΕ=
49575ΓΘ>Χ38∆5∀1Ε∆Χ∆ΟΒ;559>ϑΕΧ∆5<<5>
(2.∃2.∗6−.9.!!4∗≅.9=.9>.6−.6
)95;Π>>5>:5451>45Β5#ΕΧ9;ΑΕ5<<5Θ25Β495∀ ∃ ∃
Ε38Χ5Γ9545Β7525>1Ε3859>5>9&?445>)95>938∆
1>4?3;5>−Ο8<5>)95=9∆)%+(4955
∆Β952Χ1Β∆∀ ∃
26>.2:
59,5ΒΓ5>4Ε>759>5Χ9&?4?45Β1>45Β5>#&&<1Ι5ΒΧ
45Β>938∆Θ25Β495?3;9>7Χ∆1∆9?>1>75Χ38<?ΧΧ5>Γ9Β4
5Β6?<7∆;59>51Ε∆?=1∆9Χ385;;ΕΕ6<14Ε>7
(2.∃2.−.64∗60.26:;.44.6
! ΒΘ3;5>)95495∗1Χ∆5>Υ))45Β5Β>25
495>Ε>7Ε=495ΟΧΧ5ϑΕΒ575<>
! ΒΘ3;5>)95495∗1Χ∆5>Υ∗(∀Ε=495
Π85>ϑΕΒ575<>1=9∆;Π>>5>)9545>Γ9545Β75
7525>5>)?Ε>445Β758ΠΒ∆5>#ΕΧ9;Β938∆Ε>71>≅1Χ
Χ5>
−95)9541Χ5ΒΟ∆25495>5>

(2.∃2.−2.∃;<55:,1∗4;<60.26:,1∗4;.6
)95;Π>>5>495∀1Ε∆Χ∆ΟΒ;5=9∆59>5=∗1Χ∆5>4ΒΕ3;1Ε6495
∗1Χ∆5#+∗12Χ381<∆5>95∀1Ε∆Χ∆ΟΒ;51>ϑ59759=
9Χ≅<1Ι2<9>;∆9>5Β>5Ε∆5ΧΒΘ3;5>45Β∗1Χ∆5#+∗
Χ381<∆5∆495∀1Ε∆Χ∆ΟΒ;5Γ9545Β59>
(2.∃2.−2.&19Α.2;5∗6<.44.26:;.44.6
!
ΒΘ3;5>)959>)∗∃/5ΒΟ∆1ΕΧ75Χ381<∆5∆=9∆
)∆Β?=>5∆ϑΦ5Β2Ε>45>495∗1Χ∆5∗ #31
)5;Ε>45><1>795)∆Ε>45>1>ϑ59752<9>;∆<∆5Β>1
∆9Φ∗1Χ∆5#1=5ΒΟ∆)5;Ε>45>4ΒΘ3;5>
! )∆5<<5>)95=9∆""##ϑΕ5ΒΧ∆495)∆Ε>
45>Ε>441>>495#9>Ε∆5>59>Ε>425Χ∆Ο∆975>)95
:5Γ59<Χ=9∆∗ #ϑΓ1<∆5Β>1∆9Φ=9∆#1=5
ΒΟ∆
95+8Βϑ59∆9Χ∆41=9∆59>75Χ∆5<<∆Ε>42579>>∆9=8Υ
#?4ΕΧϑΕϑΟ8<5>
95+8Βϑ59∆Γ9Β49>)∆1>42Ι1>75ϑ597∆
26>.2:
Β6?<7∆9=9>Χ∆5<<=?4ΕΧ)5;Ε>45><1>7;59>∗1
Χ∆5>4ΒΕ3;Γ9Β4495Χ5Β1Ε∆?=1∆9Χ38?8>5)≅59385ΒΕ>7
255>45∆
∃13859>5=)∆Β?=1ΕΧ61<<=ΘΧΧ5>)95495+8Βϑ59∆>5Ε
59>Χ∆5<<5>
(2.∃2.−2.∃4..8<63;276+.6<;Α.6
)95;Π>>5>9>)38Β9∆∆5>Φ?>#9>Ε∆5>45>
059∆Β1Ε=59>Χ∆5<<5>>13845=Χ93841Χ5ΒΟ∆9>:545Β
5∆Β952Χ1Β∆9>)∆1>42ΙΧ381<∆5∆Ψ)∀&ς5ΒΧ3859>∆9=
9Χ≅<1Ι
! ΒΘ3;5>)95ϑΕΒ9>Χ∆5<<Ε>7495∗1Χ∆5)∀&
Γ9545Β8?<∆
−95)9541Χ(149?25495>5>

(2.∃2.−∗:#∗−27+.−2.6.6
26>.2:
1Χ5ΒΟ∆5=≅6Ο>7∆1Ε645ΒΒ5ΑΕ5>ϑ
+!−#Υ#ϑ
! −Ο8<5>)95=9∆)%+(495∋Ε5<<5( %
! −5>>)95+!−59>Χ∆5<<5>;Π>>5>)95495−ΕΒ61>
∆5>>51ΕΧΒ938∆5>Ε>41Ε6Φ?<<5∀Ο>751ΕΧϑ9585>Ε=
45>=≅61>7ϑΕΦ5Β25ΧΧ5Β>
(2.∃2..26.6∃.6−.9.26:;.44.6
∗6<.44.∃.6−.9>∗14
! ΒΘ3;5>)95495∗1Χ∆5>""##2ϑΓ
;ΕΒϑ495ΧΦ5ΒΟ>45Β∆495=≅61>7Χ6Β5ΑΕ5>ϑ
Χ38Β9∆∆Γ59Χ5>138?25>2ϑΓ>138Ε>∆5> =+!−
5Β59389>#ϑ)38Β9∆∆5>1=9∆;Π>>5>)95
1Ε38Χ38Γ1385)5>45Β59>Χ∆5<<5>45Β5>Β5ΑΕ5>ϑ
8>5>25;1>>∆9Χ∆
95Β5ΑΕ5>ϑ1>ϑ59759=9Χ≅<1Ιϑ597∆49559>75Χ∆5<<∆5
Β5ΑΕ5>ϑ1>
∃.6−.9:<,14∗</
! ∀1>75ΧΒΘ3;5>45Β∗1Χ∆5>""##31
)5;Ε>45>Χ∆1Β∆5∆45>)Ε38<1Ε65Β1Ε∆?=1∆9
Χ385)Ε38<1Ε669>45∆>ΕΒ)5>45Β=9∆59>5=Χ∆1Β;5>
)97>1<)38Γ1385)5>45Β;Π>>5>>ΕΒ=1>Ε5<<59>
75Χ∆5<<∆Γ5Β45>
! Β>5Ε∆5ΧΒΘ3;5>45Β∗1Χ∆5>""##
31)5;Ε>45>Χ5∆ϑ∆45>)Ε38<1Ε66?Β∆−Ο8Β5>4
45Χ)Ε38<1Ε6Χ9Χ∆45Β∗Ε>5ΒΧ∆Ε==75Χ381<∆5∆
(2.∃2.∃.6−.9:8.2,1.96
5Β&Β?7Β1==)≅59385Β;1>>)∆1∆9?>5>9=#
5Β5938+!−Χ≅59385Β>
26>.2:
9575Χ≅59385Β∆5>)5>45Β2<5925>259)∆Β?=1ΕΧ61<<5Β81<
∆5>
! >45Β5∆Β952Χ1Β∆∗+∃((149?45>75ΓΘ>Χ38∆5>
)5>45Β=9∆45>∗1Χ∆5>""##59>Χ∆5<
<5>
! ∗1Χ∆5##4ΒΘ3;5>
−95)9541Χ(149?25495>5>

! #9∆45Β∗1Χ∆5$#∃+%59>5>&Β?7Β1==
≅<1∆ϑΓΟ8<5>41ϑΕ776495∗1Χ∆5=58Β=1<Χ4ΒΘ3
;5>
! #9∆45Β∗1Χ∆5##45>59>75Χ∆5<<∆5>)5>45Β
1Ε645=&Β?7Β1==≅<1∆ϑΧ≅59385Β>
26>.2:
−9Β431)5;Ε>45>;59>5∗1Χ∆5754ΒΘ3;∆9Χ∆45Β&Β?
7Β1==95Β#?4ΕΧ255>45∆
! )≅59385Β>Γ59∆5Β5Β)5>45Β,?Β71>7Γ9545Β8?<5>
6>Β14.6−.989709∗552.9;.6∃;∗;276.6
! ∗1Χ∆5$#∃+%4ΒΘ3;5>Ε=49575Χ≅59
385Β∆5>&Β?7Β1==≅<Ο∆ϑ51Ε6ΓΟΒ∆Χ2ϑΓ12ΓΟΒ∆Χ
4ΕΒ38Χ381<∆5>
1Χ9Χ≅<1ΙΧ∆5<<∆45>:5Γ59<Χ59>75Χ∆5<<∆5>!1>1<41Β
Χ:,1.6.26.9!9709∗5584∗;Α∃8.2,1.9<60
! )95;Π>>5>59>5&Β?7Β1==≅<1∆ϑ)≅59385ΒΕ>741
4ΕΒ38<ΠΧ385>9>45=)9559>5>>5Ε5>)5>45Β1Ε6
45>&Β?7Β1==≅<1∆ϑΧ≅59385Β>
(2.∃2.−∗:.9Β;∗<::,1∗4;.6
! +=41Χ5ΒΟ∆1ΕΧϑΕΧ381<∆5>
4ΒΘ3;5>1Χ
9Χ≅<1Ι5Β<9Χ38∆Ε>4495+8Βϑ59∆Γ9Β441Β75Χ∆5<<∆
−95)95 8Β9&?49&8?>5Φ5ΒΓ5>45>

(2.∃2.192!7−2!176.=.9>.6−.6
26:,1∗4;.6
! )381<∆5>)9541Χ5ΒΟ∆=9∆45Β∗1Χ∆5
59>
! ?3;5>)95 8Β9&8?>5 8Β5>9&?41>
! ΒΘ3;5>)95495∗1Χ∆5
)%+(Γ9545Β8?<∆
Ε=ϑΕΒ∋Ε5<<52!7−ϑΕΧ381<∆5>
! ΒΘ3;5>)95495∗1Χ∆5#Ε=495−9545Β7125
ϑΕΧ∆1Β∆5>
! ΒΘ3;5>)95495∗1Χ∆5#Ε=495−9545Β7125
ϑΕΕ>∆5Β2Β5385>
%2;.4>∗14∃<,14∗</
! ΒΘ3;5>)95;ΕΒϑ495∗1Χ∆5>""##Ε=
ϑΕ=>Ο38Χ∆5>Φ?Β975>∗9∆5<ϑΕΧ≅Β9>75>
! ΒΘ3;5>)95495∗1Χ∆5>""##Ε>481<
∆5>)95Χ95754ΒΘ3;∆Ε=59>5>Χ38>5<<5>)Ε38<1Ε6
ϑΕΧ∆1Β∆5>
<::,1∗4;.6
! ΒΘ3;5>)95495∗1Χ∆5
1Χ5ΒΟ∆Χ381<∆5∆
495−9545Β712512Ε>445>9&?49>)∗∃/
! <∆5Β>1∆9Φ∗1Χ∆5
)%+(<1>74ΒΘ3;5>
! −Ο8Β5>445Β9&?41>754?3;∆9Χ∆Γ5Β45>495;;ΕΧ
259.260.:,1∗4;.;.5.9Β;75<145>
(2.∃2.2!176.2!7−∋2−.7:>2.−.9
0.+.6
! )38<95Σ5>)9559>,945?;125<1>45>,945?1ΕΧ71>7
, %%+∗1>
! ,5Β29>45>)9541Χ,945?;125<=9∆ 8Β5=∗,9Χ≅<1Ι
! )∆1Β∆5>)95495−9545Β71251=9&?49&8?>5
(2.∃2.19.62!7−192!176.∆+.9
−∗:.6∆+.−2.6.6
#9∆6?<75>45>∗1Χ∆5>Χ∆5Ε5Β>Ε>425495>5>)95 8Β5>
1>754?3;∆5>9&?4 8Β9&8?>5
#−9545Β7125Χ∆1Β∆5>≅1ΕΧ5
""##Φ?Β975Β>Ο38Χ∆5Β∗9∆5<Χ38>5<<5Β(Θ3;<1Ε6
,?Β<1Ε6
.6∆Χ//6.6
9&%#∃+9&?49&8?>5#5>ΘΠ66>5>9=#5>ΘϑΕ
ΒΘ3;
#∃+ !∃1Φ971∆9?>9=#5>Θ
∃∗(ΕΧΓ18<25Χ∆Ο∆975>#5>Θ≅Ε>;∆1;∆9Φ95Β5>
Π66>5>
955495>Ε>75Β6?<7∆Χ9>>75=ΟΣΓ95Θ25Β4959&?4
)∆5Ε5ΒΕ>7Χ∆1Χ∆5>∀5Χ5>)957769>45Β5495>Ε>7Χ1>
<59∆Ε>7 8Β5Χ9&?4>138
−95)9558<5Β25Χ59∆975>

(2.∃2.−∗:.9Β;9.2620.6
∃;975:,14∗0
+=4955618Β59>5Χ5<5;∆Β9Χ385>)38<17ΧϑΕΦ5Β=5945>
4ΘΒ65>)9541Χ5ΒΟ∆>938∆=9∆59>5=>1ΧΧ5>∗Ε38?45Β
Ε>∆5Β6<95Σ5>45=−1ΧΧ5ΒΒ59>975>∃5∆ϑΧ∆53;5ΒΦ?Β(59
>97Ε>7ϑ9585>
%& 
)954ΘΒ65>;59>5)385Ε5ΒΧ38ΓΟ==5)385Ε5Β≅Ε<Φ5ΒΕ>4
∀ΠΧΕ>7Χ=9∆∆5<Γ95<;?8?<?45Β5>ϑ9>Φ5ΒΓ5>45>
(59>975>)9541Χ58ΟΕΧ5=9∆59>5=Γ59385>=9∆−1Χ
Χ5Β1>7565Ε38∆5∆5>∗Ε38!59>5∀ΠΧΕ>7Χ=9∆∆5<)≅9Β9∆ΕΧ
,5Β4Θ>>Ε>75>ΕΧΓΦ5ΒΓ5>45>Χ95;Π>>∆5>495%25Β
6<Ο38545Χ5ΒΟ∆5Χ25Χ38Ο4975>
.26.−.9/740.6−.6∃<+:;∗6Α.6=.9>.6−.6
)1<ϑΓ1ΧΧ5Β >Χ5;∆5>Φ5Β>938∆Ε>7Χ=9∆∆5<38<?Β?45ΒΧΟΕ
Β581<∆975∀ΠΧΕ>7Χ=9∆∆5<)1<=91;)385Ε5Β≅Ε<Φ5Β
! #9∆45=1Ε=Γ?<<∆Ε38Χ1>6∆Θ25Β495%25Β6<Ο385
Β5925>29Χ495Χ5Φ?<<Χ∆Ο>497∆Β?3;5>9Χ∆
(2.∃2..14.9+.:.2;20.6
−5>>41Χ5ΒΟ∆>938∆Γ95Φ?Β75Χ585>6Ε>;∆9?>95Β∆Θ25Β
≅ΒΘ65>)955Χ1>81>445Β6?<75>45>∗9≅≅Χ
−5>>)95495)∆ΠΒΕ>71Ε38>13845>25Χ38Β9525>5>
Ν25Β≅ΒΘ6Ε>75>>938∆258525>;Π>>5>>58=5>)9529∆∆5
!?>∆1;∆=9∆45=5ΒΧ∆5<<5Β1Ε6
!97+4.5.52;−.9.96+.−2.6<60
∃≅58;75 Χ042,1.&9:∗,1.+124/.
955Β>25495>Ε>7
6Ε>;∆9?>95Β∆>938∆
1∆∆5Β9561<Χ3859>75<57∆?45ΒΧ38Γ138
Ν25Β≅ΒΘ65>)95495&?<1Β9∆Ο∆Γ538Χ5<>
)954951∆∆5Β95
(,5Β29>4Ε>7Ε>∆5Β2Β?385>
>∆65Β>5>)95%2:5;∆5495Χ938ϑΓ9Χ385>
5Β>25495>Ε>7Ε>45ΒΟ∆2569>45>
2Χ∆1>4ϑΕ7Β?Σ
#1Η>∆65Β>Ε>7ϑΕ=5ΒΟ∆#5∆5Β
−95)9558<5Β25Χ59∆975>

!97+4.5.52;−.52!176.2!7−7,3
∃≅58;75 Χ042,1.&9:∗,1.+124/.
9&8?>59&?4<ΟΧΧ∆
Χ938>938∆1>4?3;5>
9&8?>59&?4>?38=1<Χ5>∆65Β>5>Ε>4
>5Ε59>Χ5∆ϑ5>?3;1Ε6Β5=4;ΠΒ≅5Β
≅ΒΘ65>
9&8?>59&?4Γ9Β4
>938∆75<145>
9&8?>59&?49Χ∆>938∆;?ΒΒ5;∆1>754?3;∆
76>5Ε1>4?3;5>>Χ38<ΘΧΧ51Ε6
Β5=4;ΠΒ≅5Β≅ΒΘ65>776Β59>975>
9&8?>59&?49Χ∆9=)∆1∆ΕΧΨ<?3;54ς
&ΒΘ65>?2Χ9389&8?>59&?41ΕΣ5Β81<2
;?ΒΒ5;∆25495>5><ΟΧΧ∆765ΒΧ∆5<<5Β
><59∆Ε>7<5Χ5>
Χ9Χ∆;59>∗?>ϑΕ
8ΠΒ5>
Β8Π85>)95495∀1Ε∆Χ∆ΟΒ;5
)381<∆5>)95495−9545Β71251=9&8?
>59&?459>
&ΒΘ65>)9541Χ?3;
)∆5<<5>)95Χ9385Β41ΧΧ)95495>5Ε5Χ∆5
)?6∆Γ1Β56ΘΒ45>9&?441Χ9&8?>5Φ5Β
Γ5>45>
∗1Χ∆59&%4ΒΘ3;5>
)∆Ε==Χ381<∆Ε>7#+∗1ΕΧΧ381<∆5>
!97+4.5.52;−.5#∗−27
∃≅58;75 Χ042,1.&9:∗,1.+124/.
ΧΓ9Β4;59>(149?
Χ5>45Β5=≅61>75>
1Χ5ΒΟ∆2569>45∆Χ938>938∆9=(1
49?#?4ΕΧ
#9∆)%+(ϑΕ(149?Χ381<∆5>
>45Β55ΒΟ∆5ϑ5Β>Χ585ΒΧ∆ΠΒ5>
45>=≅61>7
)∆5<<5>)9541Χ(149?Γ59∆5Β5>∆65Β>∆
Φ?>495Χ5>5ΒΟ∆5>1Ε6
5Β∗?>9Χ∆Χ38Γ138
?45ΒΦ?>Χ38<538∆5Β
∋Ε1<9∆Ο∆
95>∆5>>59Χ∆>938∆1ΕΧ75ϑ?75>?45Β
1ΕΧ75Β938∆5∆
09585>)95495>∆5>>51ΕΧ
−95)9558<5Β25Χ59∆975>

!97+4.5.52;−.5.9Β;
∃≅58;75 Χ042,1.&9:∗,1.+124/.
5ΒΟ∆6Ε>;∆9?>95Β∆>938∆
1Χ5ΒΟ∆Γ9Β4>938∆=9∆)∆Β?=
Φ5ΒΧ?Β7∆
)38<95Σ5>)9541Χ∃5∆ϑ;125<Β938∆97
1>495∃5∆ϑΧ∆53;4?Χ51>
Χ9Χ∆;59>∗?>ϑΕ8ΠΒ5>
Β8Π85>)95495∀1Ε∆Χ∆ΟΒ;51=
)ΙΧ∆5=2ϑΓ1=9&8?>59&?4?45Β
1>45Β5Η∆5Β>5>∋Ε5<<5)∆1Β∆5>)95
495−9545Β7125
)∆Ε==Χ381<∆Ε>7#+∗1ΕΧΧ381<
∆5>∗1Χ∆5)%+(4ΒΘ3;5>
Χ9Χ∆59>)∆ΠΒΒ1ΕΧ385>
ϑΕ8ΠΒ5>
>45Β∃Ο8545Χ5ΒΟ∆5ΧΧ5>45∆59>
5ΒΟ∆Χ∆ΠΒ5>45(149?Γ5<<5>1ΕΧ
>∆65Β>5>)9541Χ41Χ5ΒΟ∆1ΕΧ
45Β+=752Ε>745Χ5ΒΟ∆5Χ
Χ∆Β5∆5>1>45Β55495
>Ε>7ΧΧ∆ΠΒΕ>75><1Ε∆5
5ΒΟΕΧ3851Ε641Χ
)ΙΧ∆5=Β51795Β∆>938∆
<5;∆Β?>9Χ3851Ε∆59<545Χ5ΒΟ∆5Χ
Χ9>475Χ∆ΠΒ∆
09585>)9545>∃5∆ϑΧ∆53;5Β∀1Χ
Χ5>)9541Χ5ΒΟ∆31)5;Ε>45>
Φ?>45Β)∆Β?=ΑΕ5<<575∆Β5>>∆
)38<95Σ5>)9541Χ5ΒΟ∆5Β>5Ε∆1>
1Χ9Χ≅<1ΙΧ381<∆5∆Χ938
>938∆59>
5ΒΟ∆1ΕΧΧ381<∆5>
∃5∆ϑΧ∆53;5Βϑ9585>Γ9545Β59>
Χ∆53;5>5ΒΟ∆59>Χ381<∆5>
∃≅58;75 Χ042,1.&9:∗,1.+124/.
+=Χ381<∆Ε>7ϑΓ9Χ385>
Ε>;∆9?>5>9&?4(149?
ΕΗ∀9>56Ε>;∆9?>95Β∆
>938∆
76+8Βϑ59∆59>Χ∆5<<5>
∗538>9Χ3851∆5>

%.,162:,1.∗;.6
2=5ΧΧΕ>75>5ΒΟ∆
ΗΗ∗
31==Η==Η==
5Γ938∆?8>5∃5∆ϑ∆59< 31;7
)∆Β?=Φ5ΒΧ?Β7Ε>7
∃5∆ϑ∆59<
9>71>7,−538Χ5<Χ∆Β?=
ϑ
ΕΧ71>7,
∀59Χ∆Ε>7 Η−−)Ε2Γ??65Β−
+. ∃>Χ38<ΕΧΧ ==!<9>;5
(∀Χ∆5Β5?9>38
,945?%Ε∆ ,)9>38
1∆∆5Β955Β>25495>Ε>7 (
+=752Ε>7Χ2549>7Ε>
75>
Ρ29ΧΡ
29ΧΒ5<1∆9Φ5∀Ε6∆65Ε38∆5
>938∆;?>45>Χ95Β5>4
!?=≅1∆929<9∆Ο∆ 1Χ∗%−()?Ε>4ΧΙΧ∆5=9Χ∆=9∆
1<<5>9&8?>5Ε>445>=59Χ∆5>9&?4
#?45<<5>;?=≅1∆925<
∗538>9Χ385Λ>45ΒΕ>75>Ε>4 ΒΒ∆Θ=5ΒΦ?Β2581<∆5>
952=5ΧΧΕ>75>Χ9>4Ε>756Ο8Β5−5Β∆5
#2,1;4262.6<6− 795.6
95Χ5Χ&Β?4Ε;∆5>∆Χ≅Β938∆
45Β∃9545ΒΧ≅1>>Ε>7ΧΒ938∆<9>95

45Β#,(938∆<9>95Ε>445Β
!5>>ϑ59385>Β938∆<9>95
9&?49&8?>59Χ1∆Β145=1Β;?6≅≅<5?=≅Ε∆5Β >3
Β579Χ∆5Β549>∆85+)1>4?∆85Β3?Ε>∆Β95Χ
ς#1456?Β9&8?>59&?4Ω=51>Χ∆81∆1>5<53∆Β?>931335ΧΧ?ΒΙ81Χ255>
STbXV]TS c^ R^]]TRc b_TRXwRP[[h c^ XEW^]T)XE^S P]S WPb QTT] RTacXwTS
2Ι∆8545Φ5<?≅5Β∆?=55∆≅≅<5≅5Β6?Β=1>35Χ∆1>41Β4Χ
≅≅<59Χ>?∆Β5Χ≅?>Χ92<56?Β∆85?≅5Β1∆9?>?6∆89Χ45Φ935?Β9∆Χ3?=≅<9
1>35Γ9∆8Χ165∆Ι1>4Β57Ε<1∆?ΒΙΧ∆1>41Β4Χ
−95)9545>5ΒΧ∆5<<5Β5ΒΒ59385>

(2.∃2.−.6.9:;.44.9.99.2,1.6
=2
Β1605≅≅5<9>)∆Β1Σ5
∀1>4Χ25Β7
ΓΓΓ4Ε1<45
6;:790<60:126>.2:.
6;:790<60−.9∋.98∗,3<60
8Β>5Ε5Χ5ΒΟ∆ΓΕΒ451Ε645=−57ϑΕ 8>5>4ΕΒ38495
,5Β≅13;Ε>775Χ38Θ∆ϑ∆<<559>75Χ5∆ϑ∆5>#1∆5Β91<95>Χ9>4
Ε=Γ5<∆Φ5Β∆ΒΟ7<938Ε>4Γ9545ΒΦ5ΒΓ5Β∆21Β9∆∆585<65>)95
=9∆Ε>45>∆Χ?Β75>)95495,5Β≅13;Ε>7Ε=Γ5<∆75Β538∆
Ν25Β1;∆Ε5<<5>∆Χ?Β7Ε>7ΧΓ5759>6?Β=95Β5>)95Χ938259
8Β5=Ο>4<5Β?45ΒΘ25Β 8Β5;?==Ε>1<5>∆Χ?Β7Ε>7Χ
59>Β938∆Ε>7
9:;2,3<60:0./∗19
,5Β≅13;Ε>7Ε>445Β5>∗59<5>938∆!9>45Β>Θ25Β<1ΧΧ5>
ΒΧ∆93;Ε>7Χ75618Β4ΕΒ38?<95>Ε>41>45Β5,5Β≅13
;Ε>7Χ=1∆5Β91<95>
6;:790<60−.:.9Β;.:
<∆75ΒΟ∆5Χ9>4;59>Γ5Β∆<?Χ5Β261<<ΕΒ38Ε=Γ5<∆75
Β538∆5>∆Χ?Β7Ε>7;Π>>5>Γ5Β∆Φ?<<5(?8Χ∆?665Γ9545Β
75Γ?>>5>Γ5Β45>Β;Ε>4975>)95Χ9389> 8Β5Β)∆14∆
?45Β5=59>45Φ5ΒΓ1<∆Ε>7>138#Π7<938;59∆5>59>5Β
Ε=Γ5<∆Ε>4Χ13875Β538∆5>>∆Χ?Β7Ε>745Χ5ΒΟ∆5Χ
,?Β45Β>∆Χ?Β7Ε>745Χ5ΒΟ∆5ΧΧ?<<∆5>4951∆∆5Β95>
5>∆65Β>∆Γ5Β45>
.+.6:0./∗19
591ΕΧ75495>∆5>5ΒΟ∆5>∃5∆ϑΧ∆53;5Βϑ9585>∃5∆ϑ;1
25<4ΕΒ38∆Β5>>5>Ε>4=9∆45=)∆53;5Β5>∆65Β>5>
2.:.:.9Β;2:;.6;:89.,1.6−−.9#2,1;4262.
∆+.94.3;97<6−4.3;976234;0.9Β;.(0.3.66
Α.2,16.;
2.:.:!97−<3;−∗9/∗56−.:.26.9.+.6:−∗<.962,1;∆+.9
−.66795∗4.6∗<:1∗4;:∗+/∗44.6;:790;>.9−.6:76−.96
5<::∗6.26.5∃∗55.48<63;/∆9−∗:#.,≅,4260=76.4.3;92
:,1.6<6−.4.3;9762:,1.6.9Β;.6∗+0.0.+.6>.9−.6∗:
∃≅5+74∗</−.5!97−<3;−.9.+9∗<,1:∗64.2;<607−.9−.9
∋.98∗,3<60>.2:;−∗9∗</1262.(.93:;7//.:26−0.5ΒΕ
219.9.66Α.2,16<60>2.−.9=.9>.9;+∗92;−.9(2.−.9=.9
>.6−<60−.9:;7//42,1.6∋.9>.9;<607−.9∗6−.9.6795.6
−.9∋.9>.9;<60=764;0.9Β;.64.2:;.6∃2..26.6>2,1;20.6
.2;9∗0Α<5∃,1<;Α.<6:.9.9&5>.4;
1∃
#>9:Β3−954≅:5;8
)4;−2,;:1219):154

<)4:685659
6>2?Φ6=5ΦΕ:=:∆2Ε:≅?Γ≅Φ∆2:566?ΓΦ65Φ?6ΦΕ:=:∆2Ε:≅?
4≅?7≅Χ>62ΦΙΑΧ6∆4Χ:ΑΕ:≅?∆6Ε
∆ΩΧ6
56Γ≅ΕΧ6∆ϑ∆ΕΘ>6∆≅?2ΑΑ6=ΠΑ2Χ=2∆Φ:Ε6:?∆Ε2==2Ε:≅?≅Φ
2ΑΑ2Χ6:=
85;6−+1∗2Α6)8+−3)4;−2,;:1219)
:154
#6>2?Φ6=5ΦΕ:=:∆2Ε:≅?∆25Χ6∆∆6ΜΕ≅ΦΕ6Α6Χ∆≅??6ΒΦ:
:?∆Ε2==6
ΦΕ:=:∆6
?6ΕΕ≅:6
≅ΦΠ=:>:?6=2ΑΑ2Χ6:=
)8)+:Α819:17;−9,−68Α9−4:):154,−
+−3)4;−2,;:1219):154
:Γ6Χ∆Π=Π>6?Ε∆5Φ>2?Φ6=5ΦΕ:=:∆2Ε:≅?∆≅?Ε>Φ?:∆56
42Χ24ΕΠΧ:∆Ε:ΒΦ6∆56ΑΧΠ∆6?Ε2Ε:≅?5Π7:?:6∆:?∆:Γ≅Φ∆
Α≅ΦΧΧ6ΚΧ2Α:56>6?ΕΓ≅Φ∆Χ6?5Χ64≅>ΑΕ6∆:=∆28:Ε
56Ε6ΙΕ6?≅Χ>2=
5Π?Φ>ΠΧ2Ε:≅?∆≅Φ
! 5ΠΕ2Α6∆56>2?:ΑΦ=2Ε:≅?
#6∆?≅>∆56∆∆≅4:ΠΕΠ∆56∆:?∆Ε:ΕΦΕ:≅?∆≅Φ56∆>2ΧΒΦ6∆
>6?Ε:≅??Π∆∆≅?Ε56∆>2ΧΒΦ6∆56723Χ:ΒΦ6≅Φ56∆>2Χ
ΒΦ6∆5ΠΑ≅∆Π6∆56∆ΑΧ≅ΑΧ:ΠΕ2:Χ6∆4≅ΧΧ6∆Α≅?52?Ε∆
5491/4−,−8Α141:1)219):154
∀=Α6ΦΕ2ΧΧ:Γ6ΧΒΦ652?∆56Χ2Χ6∆42∆=6=≅8:4:6=56=2Α
Α2Χ6:=∆63=≅ΒΦ66ΕΒΦ6=2ΑΑ2Χ6:=?6ΧΠ28:∆∆6Α=Φ∆Μ
Φ?64≅>>2?56
2?∆4642∆Γ6Φ:==6ΚΑΧ≅4Π56Χ56=2>2?:ΘΧ6∆Φ:Γ2?Ε6
Ε6:8?6Κ=2ΑΑ2Χ6:=
(6Ε:Χ6Κ=27:496∆64Ε6ΦΧ56=2ΑΧ:∆6
ΕΕ6?56ΚΒΦ6=ΒΦ6∆:?∆Ε2?Ε∆
(63Χ2?496Κ=27:496∆64Ε6ΦΧ52?∆=2ΑΧ:∆6564≅ΦΧ2?Ε
∃6ΕΕ6Κ=2ΑΑ2Χ6:=6?>2Χ496
#2>Π>≅:Χ6∆ϑ∆ΕΘ>66∆ΕΧΠ:?:Ε:2=:∆Π66Ε=2ΑΑ2Χ6:=6∆ΕΜ
?≅ΦΓ62Φ≅ΑΠΧ2Ε:≅??6=
∗23=656∆>2Ε:ΘΧ6∆

∃)∗2−,−93):1Β8−9
&;−,−49−3∗2−,−2)66)8−12 
∗Π=Π4≅>>2?56 
∀−3)87;−9+54+−84)4:2−3)41−3−4: 
≅?∆:8?6∆56∆Π4ΦΧ:ΕΠ
∃2?:ΑΦ=2Ε:≅?56∆Α:=6∆
−9+816:154,−2)66)8−12
,≅=Φ>656=:ΓΧ2:∆≅?
533−4:68Α6)8−82−.54+:1544−3−4:,−2)66)8−12 
∃≅?Ε28656=2Α=2ΒΦ65632∆6
Χ2?496>6?Ε5Φ3=≅452=:>6?Ε2Ε:≅? 
∀?∆6ΧΕ:≅?56=2Α:=656=2ΕΠ=Π4≅>>2?56
≅??6Ι:≅?5:∋≅5:∋9≅?6 
(244≅Χ56>6?Ε5Φ?6∆≅ΦΧ462Φ5:≅6ΙΕ6Χ?6
>Π=:≅Χ2Ε:≅?56=2ΧΠ46ΑΕ:≅?52?Ε6??6 
(6∆Ε:ΕΦΕ:≅?56Γ:5Π≅∆
%:1219):154,−2)66)8−12 
≅>>6?Ε>6ΕΕΧ66?>2Χ4966Ε2ΧΧΡΕ6Χ=2ΑΑ2Χ6:=
)Π=64Ε:≅?56=2∆≅ΦΧ46
(Π8=2865ΦΓ≅=Φ>6∆≅?≅Χ6 
(Π8=28656=2Ε≅?2=:ΕΠ 
≅ΦΑΦΧ65Φ∆≅?
(Π8=286>2?Φ6=56=96ΦΧ6 
+Ε:=:∆2Ε:≅?56=27≅?4Ε:≅?)#∋2ΧΧΡΕ5:77ΠΧΠ
533−4:.)18−.54+:1544−82)8),15  
(Π8=2865Φ?6∆Ε2Ε:≅?  
≅>>6?Ε>Π>≅Χ:∆6Χ56∆∆Ε2Ε:≅?∆  
≅>>6?Ε2ΧΧΡΕ6Χ=2ΑΑ2Χ6:= 
%:1219):154,−<5:8−1!5,1!054− 
∃:∆66?>2Χ496  
ΙΕ:?4Ε:≅?  
(6∆Ε:ΕΦΕ:≅?56Γ:5Π≅∆:∋9≅?6:∋≅5  
≅>>2?5656Γ≅ΕΧ6:∋≅5:∋9≅?6Γ:2=6>6?Φ  
−::5>)/−,−2)66)8−12 
533−4:8−3Α,1−8);=−88−;89  
)8)+:Α819:17;−9:−+0417;−9 
5491/4−9,Α21314):154  
,Φ656?∆6>3=656=2ΑΑ2Χ6:=

∃Α2Α+533)4,−
15
29
28
27
26
16
18
20
22
17
19
21
23
24
25

∋&−(
∃:∆66?>2Χ4962ΧΧΡΕ>≅56
,∀##
 )#∋ ≅?4Ε:≅?)#∋
 ∃+∗ ∃:∆66?∆≅ΦΧ5:?6
 ∃%+ Π7:=6>6?ΕΓ6Χ∆=692ΦΕ>6?Φ:∋9≅
?6:∋≅5
)Π=64Ε:≅?5Φ?6∆Ε2Ε:≅?Χ25:≅
∋()∗
 )&+( ∃≅56≅ΑΠΧ2Ε≅:Χ67≅?4Ε:≅?:∋9≅?6
Χ25:≅,2Φ5:≅Γ:5Π≅∀%#∀%
∆≅ΦΧ466ΙΕ6Χ?6
 %∗( ≅?7:Χ>2Ε:≅?
∋Χ6∆∆:≅?Α≅ΦΧ∆Π=64Ε:≅??6ΧΦ?>6?Φ
≅Φ4≅?7:Χ>6ΧΦ?6≅ΑΕ:≅?6?ΕΧΠ6
 ##%.∗ ∗:ΕΧ6∆Φ:Γ2?Ε2Γ2?46
Χ6496Χ4962ΦΕ≅>2Ε:ΒΦ656∆Ε2Ε:≅?∆
 !∃%+ Π7:=6>6?ΕΓ6Χ∆=632∆>6?Φ:∋9≅
?6:∋≅5
)Π=64Ε:≅?5Φ?6∆Ε2Ε:≅?Χ25:≅
∋()∗
 # ∋#/∋+)
 Φ,&#+∃ ∗≅Φ496∆56Γ≅=Φ>6
 Φ)) (Π8=28656∆8Χ2Γ6∆32∆∆6∆
 Φ∗(# (Π8=28656∆2:8ΦΣ∆

∃∃∗∀∃
∃Π>≅Χ:∆2Ε:≅?56∆Ε2Ε:≅?∋()∗
96ΦΧ6
 ""∋(, ∗:ΕΧ6ΑΧΠ4Π56?ΕΧ6Ε≅ΦΧ
Χ6496Χ4962ΦΕ≅>2Ε:ΒΦ656∆Ε2Ε:≅?∆
 :∋&∃%+ &ΦΓ6ΧΕΦΧ656>6?ΦΧ6Ε≅ΦΧ
(6>2ΧΒΦ6∆4≅?46Χ?2?Ε=6>2?:6>6?Ε

∀−3)87;−9+54+−84)4:2−3)
41−3−4:
,6Φ:==6Κ=:Χ64≅?∆4:6?4:6Φ∆6>6?ΕΕ≅ΦΕ6∆=6∆4≅?∆:8?6∆56
∆Π4ΦΧ:ΕΠ6Ε4≅?∆6ΧΓ6Κ=6∆2Φ42∆≅ςΓ≅Φ∆Γ≅Φ∆Α≅∆6Χ:6Κ
56∆ΒΦ6∆Ε:≅?∆Φ=ΕΠΧ:6ΦΧ6>6?Ε&3∆6ΧΓ6ΚΕ≅Φ;≅ΦΧ∆Ε≅Φ∆=6∆
2Γ6ΧΕ:∆∆6>6?Ε∆6ΕΕ≅ΦΕ6∆=6∆4≅?∆:8?6∆7:8ΦΧ2?Ε52?∆46
>2?Φ6=5ΦΕ:=:∆2Ε:≅?2:?∆:ΒΦ646ΦΙ7:8ΦΧ2?Ε2Φ5≅∆56
=2ΑΑ2Χ6:=
5491/4−9,−9Α+;81:Α
::−4:154
#2ΑΑ2Χ6:=5≅:ΕΦ?:ΒΦ6>6?ΕΡΕΧ6Χ244≅Χ5ΠΜΦ?6Ε6?∆:≅?
∆64Ε6ΦΧ56,Λ!Κ%6∆∆2ϑ6Κ;2>2:∆
5ΦΕ:=:∆6Χ=2ΑΑ2Χ6:=2Γ64Φ?62ΦΕΧ6Ε6?∆:≅?
+Ε:=:∆6ΚΦ?:ΒΦ6>6?Ε=63=≅452=:>6?Ε2Ε:≅?∆64Ε6ΦΧ7≅ΦΧ
?:
#27:496∆64Ε6ΦΧ5≅:Ε∆6Φ=6>6?ΕΡΕΧ6Χ244≅Χ5Π62ΑΧΘ∆=2
7:?56=:?∆Ε2==2Ε:≅?4≅?7≅Χ>62ΦΙΑΧ6∆4Χ:ΑΕ:≅?∆
):=64Ν3=652=:>6?Ε2Ε:≅?6∆Ε5Π764ΕΦ6ΦΙ≅Φ∆:=2ΑΑ2Χ6:=
ΑΧΠ∆6?Ε652ΦΕΧ6∆5≅>>286∆=2ΑΑ2Χ6:=?65≅:ΕΑ2∆ΡΕΧ6
>:∆6?>2Χ496
#≅Χ∆5Φ5Π3Χ2?496>6?Ε5Φ3=≅452=:>6?Ε2Ε:≅?56=2
ΑΧ:∆6564≅ΦΧ2?ΕΕ:Χ6Κ∆ΦΧ=27:4966Ε?≅?∆ΦΧ=64Ν3=6
7:?5ΠΓ:Ε6ΧΦ?Χ:∆ΒΦ65:?46?5:66Ε=6Χ:∆ΒΦ65Φ?49≅4
Π=64ΕΧ:ΒΦ6?6ΙΑ≅∆6ΚΑ2∆=2ΑΑ2Χ6:=Μ=2Α=Φ:6?:ΜΕ≅ΦΕ6
2ΦΕΧ6∆≅ΧΕ659Φ>:5:ΕΠ
%6>6ΕΕ6ΚΑ2∆=2ΑΑ2Χ6:=6?∆6ΧΓ:46ΜΑΧ≅Ι:>:ΕΠ5632:
8?≅:Χ6∆56Α:∆4:?6∆≅Φ2ΦΕΧ6∆;6Ε∆562Φ
%6Α≅∆6ΚΑ2∆56ΧΠ4:Α:6?Ε4≅?Ε6?2?Ε56∆=:ΒΦ:56∆Α6Ι
Γ2∆6∆Μ7=6ΦΧ∆∆ΦΧ=2ΑΑ2Χ6:=∀=∆Α≅ΦΧΧ2:6?Ε∆6Χ6?Γ6Χ∆6Χ
6Ε=6=:ΒΦ:56ΒΦ:∆Π4≅Φ=6Χ:∆ΒΦ6Χ2:Ε56?ΕΧ2Τ?6Χ56∆
5≅>>286∆4≅?∆:5ΠΧ23=6∆≅Φ>Ρ>6Φ?49≅4Π=64ΕΧ:ΒΦ6
):56∆4≅ΧΑ∆ΠΕΧ2?86Χ∆≅Φ5Φ=:ΒΦ:5656Γ2:6?ΕΑ2ΧΓ6?:ΧΜ
=:?ΕΠΧ:6ΦΧ56=2ΑΑ2Χ6:=5Π3Χ2?496Κ:>>Π5:2Ε6>6?Ε=2
7:496∆64Ε6ΦΧ56=2ΑΧ:∆6564≅ΦΧ2?Ε2:Ε6∆ΓΠΧ:7:6Χ=2Α
Α2Χ6:=Α2ΧΦ?∆ΑΠ4:2=:∆Ε6ΒΦ2=:7:Π2Γ2?Ε56=6Χ6>6ΕΕΧ66?
∆6ΧΓ:462?86Χ5649≅4Π=64ΕΧ:ΒΦ66?42∆5≅ΦΓ6ΧΕΦΧ6
5Φ3≅ΤΕ:6Χ
%≅ΦΓΧ6ΚΑ2∆=63≅ΤΕ:6Χ2?86Χ5649≅4Π=64ΕΧ:ΒΦ66?
42∆5≅ΦΓ6ΧΕΦΧ65Φ3≅ΤΕ:6Χ
%6∆∆2ϑ6Κ;2>2:∆56ΧΠΑ2Χ6ΧΓ≅Φ∆>Ρ>6Φ?2ΑΑ2Χ6:=
5Π764ΕΦ6ΦΙ5Χ6∆∆6ΚΓ≅Φ∆Ε≅Φ;≅ΦΧ∆Μ?≅∆Α≅:?Ε∆56
∆6ΧΓ:462ΑΧΘ∆Γ6?Ε6
%≅ΦΓΧ6Κ6?2Φ4Φ?42∆=2ΑΑ2Χ6:=∴∆6Φ=Φ?∆ΑΠ4:2=:∆Ε6
5≅:Ε=≅ΦΓΧ:Χ
6∆4≅ΧΑ∆ΠΕΧ2?86Χ∆Α6Ι2:8Φ:==6∆Α:Θ46∆56>≅?
?2:66Ε4?65≅:Γ6?ΕΑ2∆Ε≅>36ΧΜ=:?ΕΠΧ:6ΦΧ56=2ΑΑ2
Χ6:=
(6>2ΧΒΦ6∆4≅?46Χ?2?Ε=6>2?:6>6?Ε

%6Α≅∆6ΚΑ2∆563≅Φ8:6∆2==Φ>Π6∆≅Φ2ΦΕΧ6∆∆≅ΦΧ46∆
Α≅Ε6?Ε:6==6∆5:?46?5:6∆ΦΧ=2ΑΑ2Χ6:=
%6=2:∆∆6Κ;2>2:∆56∆6?72?Ε∆ΦΕ:=:∆6Χ46Ε2ΑΑ2Χ6:=∆2?∆
∆ΦΧΓ6:==2?46
2:Ε6∆67764ΕΦ6Χ=6∆ΕΧ2Γ2ΦΙ56>2:?Ε6?2?46Φ?:ΒΦ6>6?Ε
Α2Χ56∆∆ΑΠ4:2=:∆Ε6∆ΒΦ2=:7:Π∆72ΦΕ656ΒΦ≅:Γ≅Φ∆Γ≅Φ∆
>6ΕΕΧ:6ΚΓ≅Φ∆>Ρ>6≅Φ52ΦΕΧ6∆Α6Χ∆≅??6∆6?52?86Χ
,6:==6ΧΠ82=6>6?ΕΜ?6Α2∆Ε≅Φ496Χ=6∆4≅?Ε24Ε∆∆:ΕΦΠ∆
2Φ5≅∆56=2ΑΑ2Χ6:=2Γ6456∆≅3;6Ε∆>ΠΕ2==:ΒΦ6∆≅Φ
2Γ64=6∆5≅:8Ε∆64:Α6ΦΕ≅442∆:≅??6Χ56∆4≅ΦΧΕ
4:Χ4Φ:Ε∆
#2ΑΑ2Χ6:=Χ6∆Ε63Χ2?49Π2Φ∆64Ε6ΦΧ>Ρ>6=≅Χ∆ΒΦ:=∆6
ΕΧ≅ΦΓ66?>≅56Γ6:==6Π3Χ2?496Κ=27:4965Φ3=≅452
=:>6?Ε2Ε:≅?56=2ΑΧ:∆6564≅ΦΧ2?Ε∆:Γ≅Φ∆?ΦΕ:=:∆6ΚΑ2∆
=2ΑΑ2Χ6:=Α6?52?ΕΦ?6ΑΠΧ:≅56ΑΧ≅=≅?8Π6∗:Χ6ΚΦ?:
ΒΦ6>6?Ε2Φ?:Γ62Φ56=27:496∆64Ε6ΦΧΑ2∆=64Ν3=6
%Π4≅ΦΕ6ΚΑ2∆=2>Φ∆:ΒΦ62Γ64Φ?Γ≅=Φ>6∆≅?≅Χ6ΕΧ≅Α
:>Α≅ΧΕ2?Ε42Χ46=2Α≅ΦΧΧ2:Ε6?ΕΧ2Τ?6Χ56∆ΕΧ≅Φ3=6∆2Φ5:
Ε:7∆5ΦΧ23=6∆
%67764ΕΦ6ΚΑ2∆56>≅5:7:42Ε:≅?∆5Φ∆ϑ∆ΕΘ>6≅Φ56∆
2446∆∆≅:Χ6∆∗≅ΦΕ6>≅5:7:42Ε:≅??≅?2ΦΕ≅Χ:∆Π6Α6ΦΕ6?
ΕΧ2Γ6Χ=2∆Π4ΦΧ:ΕΠ=24≅?7≅Χ>:ΕΠ2ΦΙ5:Χ64Ε:Γ6∆6Ε=6∆Α6Χ
7≅Χ>2?46∆5Φ∆ϑ∆ΕΘ>6
>ΑΡ496Κ=6∆Χ:∆ΒΦ6∆5:?46?5:6∆≅Φ5649≅4∆Π=64ΕΧ:
ΒΦ6∆6?ΠΓ:Ε2?Ε56∆ΦΧ492Χ86Χ=6∆ΑΧ:∆6∆564≅ΦΧ2?Ε
=6∆4Ν3=6∆ΑΧ≅=≅?82Ε6ΦΧ∆6Ε=6∆ΑΧ:∆6∆:?ΕΠ8ΧΠ6∆Μ=2Α
Α2Χ6:=
+Ε:=:∆6ΚΦ?6∆≅ΦΧ46564≅ΦΧ2?Ε252ΑΕΠ6∴Χ244≅Χ56Κ=6
ΑΧ≅5Φ:ΕΜΦ?6∆≅ΦΧ46564≅ΦΧ2?Ε4≅?7≅Χ>6Ε6==6ΒΦ6
5Π4Χ:Ε652?∆=6>2?Φ6=5ΦΕ:=:∆2Ε:≅?≅Φ:?5:ΒΦΠ6∆ΦΧ=6
ΑΧ≅5Φ:Ε
6Ε2ΑΑ2Χ6:=?6∆ΕΑ2∆56∆Ε:?ΠΑ≅ΦΧΦ?6ΦΕ:=:∆2Ε:≅?Α2Χ
56∆Α6Χ∆≅??6∆ϑ4≅>ΑΧ:∆56∆6?72?Ε∆2Γ6456∆72
4Φ=ΕΠ∆Α9ϑ∆:ΒΦ6∆∆6?∆≅Χ:6==6∆≅Φ:?Ε6==64ΕΦ6==6∆=:>:ΕΠ6∆
≅Φ>2?ΒΦ2?Ε56ΙΑΠΧ:6?466Ε≅Φ564≅??2:∆∆2?46∆
∆2Φ7∆:6==6∆∆≅?Ε∆≅Φ∆=2∆ΦΧΓ6:==2?465Φ?6Α6Χ∆≅??6
4≅>ΑΠΕ6?Ε6Α≅ΦΧ=6ΦΧ∆Π4ΦΧ:ΕΠ≅Φ∆:=∆≅?ΕΧ6ΟΦ=2ΦΕ≅Χ:
∆2Ε:≅?5646ΕΕ6Α6Χ∆≅??6Α≅ΦΧΦΕ:=:∆6Χ=2ΑΑ2Χ6:=
#6∆6?72?Ε∆5≅:Γ6?ΕΡΕΧ6∆≅Φ∆∆ΦΧΓ6:==2?4627:?56∆2∆
∆ΦΧ6ΧΒΦ:=∆?6;≅Φ6?ΕΑ2∆2Γ64=2ΑΑ2Χ6:=
∀=6∆Ε:?Ε6Χ5:Ε56ΑΧ≅4Π56ΧΜ56∆ΕΧ2?∆7≅Χ>2Ε:≅?∆∆ΦΧ
=2ΑΑ2Χ6:=
#6∆2ΑΑ2Χ6:=∆6?5≅>>28Π∆≅Φ=6∆2446∆∆≅:Χ6∆6?
5≅>>28Π∆?65≅:Γ6?ΕΑ=Φ∆ΡΕΧ6ΦΕ:=:∆Π∆
∀−3)87;−
#ΠΕ:ΒΦ6ΕΕ62Γ64=25Π∆:8?2Ε:≅?5ΦΑΧ≅5Φ:Ε∆6ΕΧ≅ΦΓ6∆ΦΧ
=272462ΧΧ:ΘΧ656=2ΑΑ2Χ6:=
6ΑΧ≅5Φ:Ε?6∆ΕΑ2∆2ΑΑΧ≅ΑΧ:ΠΑ≅ΦΧΦ?6ΦΕ:=:∆2Ε:≅?Μ
=6ΙΕΠΧ:6ΦΧ+Ε:=:∆6Κ46ΑΧ≅5Φ:ΕΦ?:ΒΦ6>6?ΕΜ=:?ΕΠΧ:6ΦΧ56
3ΝΕ:>6?Ε∆6Ε?≅?Α2∆52?∆56∆42>Α:?842Χ∆56∆32
Ε62ΦΙ≅Φ56∆6?Γ:Χ≅??6>6?Ε∆∆6>3=23=6∆
6ΑΧ≅5Φ:Ε5≅:ΕΦ?:ΒΦ6>6?ΕΡΕΧ66ΙΑ=≅:ΕΠ2Γ64=63=≅4
52=:>6?Ε2Ε:≅?4≅?Ε6?Φ52?∆=6Γ≅=Φ>656=:ΓΧ2:∆≅?
(6>2ΧΒΦ6∆4≅?46Χ?2?Ε=6>2?:6>6?Ε

)416;2):154,−9612−9
,6:==6ΚΜ46ΒΦ6=6∆Α:=6∆Χ6∆Ε6?Ε9≅Χ∆56Α≅ΧΕΠ656∆
6?72?Ε∆#6∆6?72?Ε∆Α6ΦΓ6?ΕΑ≅ΧΕ6Χ=6∆Α:=6∆Μ=23≅Φ
4966Ε=6∆2Γ2=6Χ46ΒΦ:Α6ΦΕ4≅?5Φ:Χ6Μ568Χ2Γ6∆ΑΧ≅
3=Θ>6∆56∆2?ΕΠ?Α2Χ6:=42∆4≅?∆Φ=Ε6Κ:>>Π5:2Ε6
>6?ΕΦ?>Π564:?
#6∆Α:=6∆?≅Χ>2=6∆?65≅:Γ6?ΕΑ2∆ΡΕΧ6Χ6492Χ8Π6∆ΡΕΧ6
492Φ77Π6∆≅Φ=2?4Π6∆2Φ76Φ8197;−,−=6259154
?42∆56Α:=6:?∆ΠΧΠ6:?4≅ΧΧ64Ε6>6?Ε:=ϑ28197;−
,−=6259154
(6>Α=246ΚΜΕ6>Α∆56∆Α:=6∆56Γ6?Φ6∆72:3=6∆
(6>Α=246ΚΕ≅Φ;≅ΦΧ∆Ε≅ΦΕ6∆=6∆Α:=6∆6?>Ρ>6Ε6>Α∆6Ε
ΦΕ:=:∆6Κ56∆Α:=6∆56>Ρ>6ΕϑΑ6
%6∆∆2ϑ6Κ6?2Φ4Φ?42∆56Χ6492Χ86Χ=2Α:=656=2
5Π∆2∆∆6>3=6Χ56=6ΙΑ≅∆6ΧΜΦ?6Ε6>ΑΠΧ2ΕΦΧ6∆ΦΑΠ
Χ:6ΦΧ6ΜΞ≅Φ56=2;6Ε6Χ2Φ76Φ
=:>:?6Κ:>>Π5:2Ε6>6?Ε=6∆Α:=6∆Φ∆28Π6∆(6>Α=246Κ
Φ?:ΒΦ6>6?Ε=6∆Α:=6∆Α2Χ56∆Α:=6∆56>Ρ>6ΕϑΑ66Ε56
>Ρ>6?Φ>ΠΧ≅56>≅5Θ=6
::−4:154
#6∆Α:=6∆Φ∆28Π6∆≅Φ6?5≅>>28Π6∆Α6ΦΓ6?ΕΑΧ≅Γ≅
ΒΦ6Χ56∆:ΧΧ:Ε2Ε:≅?∆4ΦΕ2?Π6∆,6:==6ΚΜΑ≅ΧΕ6Χ56∆82?Ε∆
56ΑΧ≅Ε64Ε:≅?2ΑΑΧ≅ΑΧ:Π∆%6ΕΕ≅ϑ6Κ=64≅>Α2ΧΕ:>6?Ε56∆
Α:=6∆2Γ64Φ?49:77≅?∆64
∀−3)87;−13658:)4:−+54+−84)4:2)319−);
8−∗;:
#6∆Α:=6∆Α6ΦΓ6?Ε4≅?Ε6?:Χ56∆ΑΧ≅5Φ:Ε∆Ε≅Ι:ΒΦ6∆ΒΦ:∆≅?Ε?Φ:∆:
3=6∆Α≅ΦΧ=2∆2?ΕΠ6Ε=6?Γ:Χ≅??6>6?Ε
#6ΑΧ≅5Φ:Ε4≅?Ε:6?Ε56∆Α:=6∆ΒΦ:∆≅?Ε∆≅Φ>:∆6∆Μ=25:Χ64Ε:Γ6
6ΦΧ≅ΑΠ6??6==6∆?65≅:Γ6?ΕΑ2∆ΡΕΧ6Π=:>:?Π6∆
2Γ64=6∆≅Χ5ΦΧ6∆>Π?28ΘΧ6∆?≅Χ>2=6∆
,6Φ:==6ΚΓ≅Φ∆:?7≅Χ>6Χ∆ΦΧ=6∆ΑΧ6∆4Χ:ΑΕ:≅?∆=≅42=6∆6?>2Ε:ΘΧ6
5686∆Ε:≅?56∆5Π496Ε∆4≅?46Χ?2?Ε=6∆Α:=6∆ΠΕ2?Ε5≅??ΠΒΦ6
=Π=:>:?2Ε:≅?4≅ΧΧ64Ε6Α6Χ>6Ε56ΑΧ≅ΕΠ86Χ=6?Γ:Χ≅?
?6>6?Ε6Ε=9≅>>64≅?ΕΧ656∆4≅?∆ΠΒΦ6?46∆
?Π82Ε:Γ6∆Α≅Ε6?Ε:6==6∆
6Α:4Ε≅8Χ2>>6∆6ΕΧ≅ΦΓ6∆ΦΧ=6∆Α:=6∆Μ∆Φ3∆Ε2?
46∆?≅4:Γ6∆
(6>2ΧΒΦ6∆4≅?46Χ?2?Ε=6>2?:6>6?Ε

49:)22):154,−2)66)8−12
∀?∆Ε2==6Κ=2ΑΑ2Χ6:=∆ΦΧΦ?∆ΦΑΑ≅ΧΕ∆≅=:56∆ΩΧ6Ε9≅Χ:Κ≅?
Ε2=,6:==6ΚΜΦ?63≅??6Γ6?Ε:=2Ε:≅?
%6Α≅∆6ΚΑ2∆=2ΑΑ2Χ6:=∆ΦΧ56∆∆ΦΧ7246∆>≅==6∆Ε6==6∆
ΒΦ6>≅ΒΦ6ΕΕ6∆Ε2Α:∆4≅ΦΓ6ΧΕΦΧ6∆≅ΦΜΑΧ≅Ι:>:ΕΠ56Χ:
562ΦΙ≅Φ56Ε6?ΕΦΧ6∆>ΦΧ2=6∆#6∆≅ΦΓ6ΧΕΦΧ6∆52ΠΧ2
Ε:≅?Α≅ΦΧΧ2:6?ΕΡΕΧ6≅3∆ΕΧΦΠ6∆#24:Χ4Φ=2Ε:≅?56=2:Χ?Π
46∆∆2:Χ6Χ:∆ΒΦ6Χ2:Ε5ΡΕΧ6:?Ε6ΧΧ≅>ΑΦ646ΒΦ:Α≅ΦΧΧ2:Ε
4≅?5Φ:Χ6ΜΦ?6>3Χ2∆6>6?Ε56=2ΑΑ2Χ6:=
#6∆76?Ε6∆52ΠΧ2Ε:≅?5≅:Γ6?ΕΕ≅Φ;≅ΦΧ∆Χ6∆Ε6Χ=:3Χ6∆==6∆
?65≅:Γ6?ΕΑ2∆ΡΕΧ6Χ64≅ΦΓ6ΧΕ6∆Α2Χ56∆Χ:562ΦΙ56∆
?2ΑΑ6Χ≅?∆≅Φ56∆;≅ΦΧ?2ΦΙ
%:?∆Ε2==6ΚΑ2∆=2ΑΑ2Χ6:=ΜΑΧ≅Ι:>:ΕΠ56∆≅ΦΧ46∆56
492=6ΦΧΕ6==6∆ΒΦ6Χ25:2Ε6ΦΧ∆Γ:Ε6Κ=6?∆≅=6:==6>6?Ε5:
Χ64Ε6Ε=6∆6>Α=246>6?Ε∆6ΙΑ≅∆Π∆ΜΦ?6ΒΦ2?Ε:ΕΠ6Ι
46ΑΕ:≅??6==656Α≅Φ∆∆:ΘΧ6∆
,6Φ:==6ΚΕ6?:Χ4≅>ΑΕ65Φ72:ΕΒΦ6=6∆Α:65∆56=2ΑΑ2Χ6:=
Α6ΦΓ6?Ε=2:∆∆6Χ=642∆Π49Π2?Ε56∆>2ΧΒΦ6∆564≅Φ
=6ΦΧ∆ΦΧ46ΧΕ2:?6∆∆ΦΧ7246∆56>6Φ3=6∆∃6ΕΕ6ΚΦ?6ΑΧ≅
Ε64Ε:≅?6?ΕΧ6=6>6Φ3=66Ε=2ΑΑ2Χ6:=
#2ΑΑ2Χ6:=?65≅:ΕΑ2∆ΡΕΧ6:?∆Ε2==Π52?∆56∆=≅42ΦΙ2Γ64
Φ?Ε2ΦΙ59Φ>:5:ΕΠ56=2:ΧΠ=6ΓΠΑ6Ι4Φ:∆:?6≅Φ∆2Φ
?2ΠΕ2?Ε5≅??ΠΒΦ656∆5ΠΑΥΕ∆562Φ564≅?56?∆2Ε:≅?
Χ:∆ΒΦ6Χ2:6?Ε56?5≅>>286Χ=2ΑΑ2Χ6:=#2ΑΑ2Χ6:=6∆Ε
ΑΧΠΓΦΑ≅ΦΧΦ?7≅?4Ε:≅??6>6?Ε52?∆Φ?6?Γ:Χ≅??6>6?Ε
∆646Ε2Φ∆6:?5Φ?4=:>2ΕΕ6>ΑΠΧΠ6Ε?65≅:ΕΑ2∆ΡΕΧ6
6ΙΑ≅∆Π2ΦΙ8≅ΦΕΕ6∆562Φ?:2ΦΙΑΧ≅;64Ε:≅?∆562Φ
,≅Φ∆?656Γ6ΚΦΕ:=:∆6Χ=2ΑΑ2Χ6:=ΒΦ6?Α≅∆:Ε:≅?9≅Χ:Κ≅?
Ε2=6
2Χ56Κ=2ΑΑ2Χ6:=Μ5:∆Ε2?4652ΑΑ2Χ6:=∆8Π?ΠΧ2?Ε56
7≅ΧΕ∆492>Α∆>28?ΠΕ:ΒΦ6∆
?42∆5ΦΕ:=:∆2Ε:≅?ΜΑΧ≅Ι:>:ΕΠ:>>Π5:2Ε656=2>Α6∆Μ
Π4≅?≅>:65Π?6Χ8:6=67≅?4Ε:≅??6>6?Ε56=2ΑΑ2Χ6:=Χ:∆
ΒΦ6ΠΓ6?ΕΦ6==6>6?Ε5ΡΕΧ6Α6ΧΕΦΧ3Π
%6Α≅∆6ΚΑ2∆5≅3;6Ε∆=≅ΦΧ5∆∆ΦΧ=2ΑΑ2Χ6:=
#≅Χ∆ΒΦ6Γ≅Φ∆5ΠΑ=246Κ=2ΑΑ2Χ6:=5Φ?6?Γ:Χ≅??6>6?Ε
7Χ≅:5Γ6Χ∆Φ?6?Γ:Χ≅??6>6?Ε492Φ556=9Φ>:5:ΕΠΑ6ΦΕ
∆67≅Χ>6ΧΜ=:?ΕΠΧ:6ΦΧ56=2ΑΑ2Χ6:=2?∆4642∆2ΕΕ6?
56Κ6?Γ:Χ≅?Φ?696ΦΧ62Γ2?Ε56=6>6ΕΕΧ66?∆6ΧΓ:46
,6:==6ΚΕ≅Φ;≅ΦΧ∆ΜΦ?63≅??62446∆∆:3:=:ΕΠ2Φ4Ν3=6
52=:>6?Ε2Ε:≅?≅Φ2Φ4≅??64Ε6ΦΧ56>2?:ΘΧ6ΜΑ≅ΦΓ≅:Χ
5Π3Χ2?496ΧΧ2Α:56>6?Ε=2ΑΑ2Χ6:=56=2=:>6?Ε2Ε:≅?Π=64
ΕΧ:ΒΦ6∋≅∆6Κ=64Ν3=652=:>6?Ε2Ε:≅?56>2?:ΘΧ6ΜΠΓ:
Ε6ΧΕ≅Φ∆Χ:∆ΒΦ6∆56ΕΧΠ3Φ496>6?Ε
#2ΑΧ:∆65≅:ΕΡΕΧ6∆:ΕΦΠ6=6Α=Φ∆ΑΧΘ∆Α≅∆∆:3=656=2ΑΑ2
Χ6:=
∋≅ΦΧ=6Χ244≅Χ56>6?Ε2Φ∆64Ε6ΦΧ6?7≅?46Χ4≅>Α=ΘΕ6
>6?Ε=27:496∆64Ε6ΦΧ52?∆=2ΑΧ:∆6
+Ε:=:∆6ΧΦ?Χ244≅Χ56>6?Ε∆64Ε6ΦΧ2ΑΑΧ≅ΑΧ:Π6ΕΠΓ:Ε6Χ
5ΦΕ:=:∆6Χ56∆>Φ=Ε:ΑΧ:∆6∆
(6>2ΧΒΦ6∆4≅?46Χ?2?Ε=6>2?:6>6?Ε

%6Ε≅Φ496ΚΑ2∆=63=≅452=:>6?Ε2Ε:≅?≅Φ=64≅??64Ε6ΦΧ
2Γ64=6∆>2:?∆>≅Φ:==Π6∆Χ:∆ΒΦ65Π=64ΕΧ≅4ΦΕ:≅?
?42∆565ΠΧ2?86>6?Ε∆≅Φ567≅Χ>2Ε:≅?567Φ>Π66Ε
5≅56ΦΧ∆ΑΧ≅Γ6?2?Ε56=2ΑΑ2Χ6:=Χ6Ε:Χ6Χ:>>Π5:2Ε6>6?Ε
=27:49652=:>6?Ε2Ε:≅?56=2ΑΧ:∆6
Π3Χ2?496Κ=27:496∆64Ε6ΦΧ56=2ΑΧ:∆6564≅ΦΧ2?Ε∆:Φ?
≅Χ286>6?246
Π3Χ2?496Κ=27:496∆64Ε6ΦΧ56=2ΑΧ:∆6564≅ΦΧ2?Ε∆:
=2ΑΑ2Χ6:=?6∆ΕΑ2∆ΦΕ:=:∆ΠΑ6?52?ΕΦ?6ΑΠΧ:≅56ΑΧ≅=≅?
8Π6Α2Χ6Ι2Γ2?Ε56?ΕΧ6ΑΧ6?5Χ6Φ?Γ≅ϑ286
+?Γ≅=Φ>6ΕΧ≅ΑΠ=6ΓΠ∆ΦΧΕ≅ΦΕ=≅Χ∆56=ΦΕ:=:∆2Ε:≅?56
42∆ΒΦ6∆Α6ΦΕ4≅?5Φ:Χ6Μ56∆5≅>>286∆2Φ5:Ε:7∆
%:1219):154+54.583−);=68−9+816:1549
#2ΑΑ2Χ6:=6∆Ε4≅?ΟΦ6?Ε2?ΕΒΦ6∆Ε2Ε:≅?5244Φ6:=Α≅ΦΧ=2
Χ6∆Ε:ΕΦΕ:≅?56>Φ∆:ΒΦ6ΜΑ2ΧΕ:Χ5:∋9≅?6:∋≅54≅??64ΕΠ∆
2:?∆:ΒΦΜΑ2ΧΕ:Χ52ΑΑ2Χ6:=∆6ΙΕ6Χ?6∆
6Ε2ΑΑ2Χ6:=6∆ΕΦ?2ΑΑ2Χ6:=5Φ5≅>2:?656=Π=64ΕΧ≅?:
ΒΦ6565:Γ6ΧΕ:∆∆6>6?Ε∀=6∆ΕΧΠ∆6ΧΓΠΜΦ?Φ∆286ΑΧ:ΓΠ
6Ε?65≅:ΕΑ2∆ΡΕΧ6ΦΕ:=:∆Π52?∆Φ?3ΦΕ:?5Φ∆ΕΧ:6=6Ε4≅>
>6Χ4:2=
6∆4Χ:ΑΕ:≅?56=2ΑΑ2Χ6:=

−9+816:154,−2)66)8−12
&52;3−,−21<8)1954
,6Φ:==6ΚΓΠΧ:7:6ΧΒΦ6Ε≅Φ∆=6∆2446∆∆≅:Χ6∆>6?Ε:≅??Π∆4:
56∆∆≅Φ∆∆≅?ΕΑΧΠ∆6?Ε∆
∆ϑ∆ΕΘ>6∆≅?Μ∗&+(
ΕΠ=Π4≅>>2?56
3=≅452=:>6?Ε2Ε:≅?∆64Ε6ΦΧ
Α=2ΒΦ65632∆6ϑ4≅>ΑΧ:∆Γ:∆56>≅?Ε286
=6ΑΧΠ∆6?Ε>2?Φ6=5ΦΕ:=:∆2Ε:≅?
533−4:68Α6)8−82−.54+:154
4−3−4:,−2)66)8−12
54:)/−,−2)62)7;−,−∗)9−
! ∆∆6>3=6Κ=2Α=2ΒΦ65632∆62Γ64=2Ε≅ΦΧΜ=2:565Φ
<:Ε56>≅?Ε2867≅ΦΧ?:
! ∋≅∆6Κ2Γ64ΑΧΠ42ΦΕ:≅?=6∆ϑ∆ΕΘ>6∆ΦΧ=64ΥΕΠ
∀−3)87;−
∋≅∆6ΚΦ?64≅ΦΓ6ΧΕΦΧ6∆≅Φ∆=2ΑΑ2Χ6:=27:?56?6Α2∆
Χ2ϑ6Χ=63≅ΤΕ:6Χ
! ∃≅?Ε6Κ=2Α=2ΒΦ65632∆6∆ΦΧ=2Α2ΧΕ:6:?7ΠΧ:6ΦΧ65Φ
∆ϑ∆ΕΘ>6Μ=2:5656∆Γ:∆
! ≅?ΕΧΥ=6Κ6?∆Φ:Ε6=2∆Ε23:=:ΕΠ
≅>>6?ΕΑΧΠΑ2Χ6Χ=67≅?4Ε:≅??6>6?Ε56=2ΑΑ2Χ6:=

8)4+0−3−4:,;∗25+,)213−4:):154
(244≅Χ56Κ=2ΑΑ2Χ6:=2ΦΧΠ∆62ΦΠ=64ΕΧ:ΒΦ6,Λ
!ΚΑ2Χ=:?Ε6Χ>Π5:2:Χ65Φ3=≅452=:>6?Ε2Ε:≅?∆64
Ε6ΦΧ7≅ΦΧ?:
! ∋≅ΦΧ=2=:>6?Ε2Ε:≅?Π=64ΕΧ:ΒΦ656=2ΑΑ2Χ6:=3Χ2?496Κ
Ε≅ΦΕ523≅Χ5=64Ν3=65Φ3=≅452=:>6?Ε2Ε:≅?∆64Ε6ΦΧ
52?∆=2ΑΧ:∆676>6==6∆ΦΧ=2ΑΑ2Χ6:=ΑΦ:∆
=63=≅452=:>6?Ε2Ε:≅?∆64Ε6ΦΧ52?∆=2ΑΧ:∆6564≅Φ
Χ2?Ε
! ∆∆ΦΧ6ΚΓ≅Φ∆ΒΦ6=2Ε6?∆:≅?56∆6ΧΓ:465Φ3=≅4
52=:>6?Ε2Ε:≅?∆64Ε6ΦΧ4≅ΧΧ6∆Α≅?5Μ=2Ε6?∆:≅?∆64
Ε6ΦΧ=≅42=62Γ2?Ε56=63Χ2?496Χ∆ΦΧ=2ΑΧ:∆6>ΦΧ2=6
∀−3)87;−
+Ε:=:∆6ΚΦ?:ΒΦ6>6?Ε=63=≅452=:>6?Ε2Ε:≅?∆64Ε6ΦΧ7≅ΦΧ?:
?42∆56?≅?ΦΕ:=:∆2Ε:≅?5Π3Χ2?496Κ=27:49656=2ΑΧ:∆6
564≅ΦΧ2?Ε∗:Χ6Κ∆ΦΧ=27:4966Ε?≅?Α2∆∆ΦΧ=64Ν3=6
Π3Χ2?496Κ=27:496∆64Ε6ΦΧ∆:Φ?≅Χ286>6?246Π
3Χ2?496Κ=27:496∆64Ε6ΦΧ∆:=2ΑΑ2Χ6:=?6∆ΕΑ2∆ΦΕ:=:∆Π∆ΦΧ
Φ?6ΑΠΧ:≅56ΑΧ≅=≅?8Π6Α6Ι2Γ2?Ε56?ΕΧ6ΑΧ6?5Χ6Φ?
Γ≅ϑ286
#2492=6ΦΧΧΠ∆Φ=Ε2?Ε∆Φ7≅?4Ε:≅??6>6?Ε5≅:ΕΡΕΧ6ΠΓ24ΦΠ6
Α2ΧΦ?64:Χ4Φ=2Ε:≅?52:Χ∆Φ77:∆2?Ε6∋≅ΦΧ46ΕΕ6Χ2:∆≅?
=2ΑΑ2Χ6:=?65≅:ΕΑ2∆ΡΕΧ6Χ64≅ΦΓ6ΧΕ≅Φ=≅8Π52?∆Φ?6
2Χ>≅:Χ676Χ>Π6,6:==6ΚΜ5:∆Α≅∆6Χ5Φ?6∆Α246=:3Χ652Φ
>≅:?∆4>2ΦΕ≅ΦΧ56=2ΑΑ2Χ6:=
49−8:154,−2)612−,−2):Α2Α+533)4
,−
#2ΕΠ=Π4≅>>2?564≅?Ε:6?Ε5Π;ΜΦ?6Α:=656ΕϑΑ6
(,
! (6Ε:Χ6Κ=67:=>6?Α=2∆Ε:ΒΦ64≅>>6:==Φ∆ΕΧΠ
):=2ΕΠ=Π4≅>>2?56?656Γ2:ΕΑ=Φ∆ΧΠ28:Χ2ΦΙ6?ΕΧΠ6∆
Χ6>Α=246Κ=2Α:=6Χ≅?56∋≅ΦΧ4672:Χ6ΑΧ≅4Π56Κ4≅>>6
∆Φ:Ε
! (6Ε≅ΦΧ?6Κ=2ΕΠ=Π4≅>>2?566ΕΧ6Ε:Χ6Κ=6Α≅ΧΕ6Α:=6
56=2ΕΠ=Π4≅>>2?56
! ∋Χ6∆∆6Κ=6=6Γ:6ΧΓ6Χ∆=:?ΕΠΧ:6ΦΧ52?∆=6∆6?∆56
=27=Θ496
≅>>6?ΕΑΧΠΑ2Χ6Χ=67≅?4Ε:≅??6>6?Ε56=2ΑΑ2Χ6:=

! ∗:Χ6Κ6?∆Φ:Ε6=6Α≅ΧΕ6Α:=69≅Χ∆56=2ΕΠ=Π4≅>>2?
566ΕΧ6Ε:Χ6Κ=6Α≅ΧΕ6Α:=6
! ∀?∆ΠΧ6ΚΦ?6Α:=65ΦΕϑΑ6(,2:Ε6∆2ΕΕ6?
Ε:≅?ΜΧ6∆Α64Ε6Χ=2Α≅=2Χ:ΕΠ#≅Χ∆ΒΦ6=2ΕΠ=Π4≅>>2?
566∆ΕΧ6Ε≅ΦΧ?Π6=6ΑΥ=6Α≅∆:Ε:76∆Ε5:Χ:8ΠΓ6Χ∆=6
92ΦΕ4≅>>6:==Φ∆ΕΧΠ
! (676Χ>6Κ∆≅:8?6Φ∆6>6?Ε=64≅>Α2ΧΕ:>6?Ε56=2Α:=6
5672Ο≅?Μ46ΒΦ6=6=6Γ:6Χ5Φ4≅>Α2ΧΕ:>6?Ε56Α:=6
∆6?4=6?496
∀−3)87;−
#2Α:=656ΓΧ2:ΕΡΕΧ6Χ6Ε:ΧΠ656=2ΕΠ=Π4≅>>2?56∆:46==64:
?6∆ΕΑ2∆ΦΕ:=:∆Π6Α6?52?ΕΦ?6ΑΠΧ:≅56ΑΧ≅=≅?8Π62?∆
=642∆4≅?ΕΧ2:Χ6=Π4≅Φ=6>6?Ε56=2Α:=6Α6ΦΕ6?5≅>>2
86Χ=2ΕΠ=Π4≅>>2?56
#≅Χ∆56=24≅>>2?5656=2ΑΑ2Χ6:=Μ=2:5656=2ΕΠ=Π
4≅>>2?56≅3∆6ΧΓ6Κ=6∆Α≅:?Ε∆∆Φ:Γ2?Ε∆
! :Χ:86Κ=2ΕΠ=Π4≅>>2?56Π>6ΕΕ6ΦΧ6?5:Χ64Ε:≅?5Φ
ΧΠ46ΑΕ6ΦΧ∆ΦΧ=2ΑΑ2Χ6:=6=Φ:4:∆6ΕΧ≅ΦΓ6Μ4ΥΕΠ56
=277:496ΦΧ
! ,6:==6ΚΜ46ΒΦ:=?ϑ2:Ε2Φ4Φ?≅3∆Ε24=66?ΕΧ6=Π>6Ε
Ε6ΦΧ6Ε=6ΧΠ46ΑΕ6ΦΧ
#6∆Α:=6∆5≅:Γ6?ΕΡΕΧ6Χ6>Α=24Π6∆Α2Χ56∆Α:=6∆?6ΦΓ6∆∆:
=2Α≅ΧΕΠ656=2ΕΠ=Π4≅>>2?565:>:?Φ6
544−=154,1!5,1!054−
! (6Ε:Χ6ΚΓ≅ΕΧ6:∋≅5:∋9≅?656∆282:?656ΑΧ≅Ε64
Ε:≅?≅Φ56∆2Α≅496ΕΕ66Ε:?∆ΠΧ6Κ=62Γ64ΑΧΠ42ΦΕ:≅?
52?∆=2∆Ε2Ε:≅?5244Φ6:=:∋≅5:∋9≅?6
! ,6:==6ΚΜ:?∆ΠΧ6Χ5672Ο≅?Χ64Ε:=:8?6Γ≅ΕΧ6:∋≅5
:∋9≅?652?∆=2∆Ε2Ε:≅?5244Φ6:=%65Π7≅Χ>6Κ≅Φ?6
32∆4Φ=6ΚΑ2∆=:∋≅5:∋9≅?6Α6?52?ΕΒΦ646=Φ:∆6
ΕΧ≅ΦΓ652?∆=2∆Ε2Ε:≅?5244Φ6:=:∋≅5:∋9≅?6∀=
Α≅ΦΧΧ2:Ε6?ΧΠ∆Φ=Ε6ΧΦ?6?5≅>>286>6?Ε56=2∆Ε2
Ε:≅?5244Φ6:=≅Φ56=:∋≅5:∋9≅?6
! (6Ε:Χ6Κ=:∋≅5:∋9≅?66?=6∆≅Φ=6Γ2?Ε2Γ64ΑΧΠ42Φ
Ε:≅?
∀−3)87;−
?42∆56?ΕΧΠ65Φ?2ΑΑ6=Α6?52?Ε=2=64ΕΦΧ6>Φ∆:42=6Μ
Α2ΧΕ:Χ5Φ?:∋9≅?64≅??64ΕΠ=2ΑΑ2Χ6:=2ΧΧΡΕ6=2=64ΕΦΧ66Ε
=6∆:8?2=56∆≅??6Χ:66∆Ε2Φ5:3=6
0)8/−,−9)++;3;2):−;89,−21!5,
Θ∆ΒΦ6Γ≅Φ∆2Γ6Κ:?∆ΠΧΠΓ≅ΕΧ6:∋≅5=244Φ>Φ=2Ε6ΦΧ6∆Ε
492Χ8Π∆:=24≅??6Ι:≅?2Φ∆64Ε6ΦΧ6∆ΕΠΕ23=:6
∀−3)87;−
?42∆5ΦΕ:=:∆2Ε:≅?5Φ?:∋≅5≅Φ52ΦΕΧ6∆=64Ε6ΦΧ∆∃∋
ΒΦ:?6∆≅?Ε6)9Χ244≅Χ5Π∆Γ:2=2∆Ε2Ε:≅?5244Φ6:=:=?6?
ΧΠ∆Φ=Ε6Α2∆56492Χ862ΦΕ≅>2Ε:ΒΦ656∆244Φ>Φ=2Ε6ΦΧ∆
≅>>6?ΕΑΧΠΑ2Χ6Χ=67≅?4Ε:≅??6>6?Ε56=2ΑΑ2Χ6:=

∀)++58,−3−4:,;4−95;8+−);,15−=
:−84−
,≅Φ∆Α≅ΦΓ6ΚΧ6∆Ε:ΕΦ6Χ=6∆≅?5Φ?2ΑΑ2Χ6:=6ΙΕ6Χ?6Α6Ι
ΕΠ=ΠΓ:∆6ΦΧ=64Ε6ΦΧ56,=64Ε6ΦΧ∃∋Γ:2=6∆92ΦΕ
Α2Χ=6ΦΧ∆56=2ΑΑ2Χ6:=46ΕΠ82Χ5Γ≅Φ∆Α≅ΦΓ6ΚΦΕ:=:∆6Χ=2
ΑΧ:∆6+∀&∀%≅Φ#∀%∀%
! (244≅Χ56Κ=64Ν3=62Φ5:≅56=2∆≅ΧΕ:62Φ5:≅56Γ≅ΕΧ6
2ΑΑ2Χ6:=6ΙΕ6Χ?6∆ΦΧ=2
ΑΧ:∆6+∀&∀%Ι(:?49Α6ΙΜ
Α2ΧΕ:Χ5Φ?6492Τ?6∆ΕΠΧΠ≅≅Φ5Φ?64≅?∆≅=656;6ΦΙ
≅ΦΦ?
4Ν3=62Φ5:≅2Γ64Φ?67:496;24<>Ν=656>>∆ΦΧ
=2ΑΧ:∆6#∀%∀%Α6Ι=64Ε6ΦΧ∃∋
! )Π=64Ε:≅??6Κ=6>≅56,≅Φ#∀%2Φ>≅ϑ6?56

)&+(
! (Π8=6Κ=6Γ≅=Φ>6∆≅?≅Χ6∆ΦΧ=2ΑΑ2Χ6:=Χ244≅Χ5Π
2:?∆:ΒΦΜ=2:5656∆Ε≅Φ496∆∴,&#
! Π>2ΧΧ6Κ=2=64ΕΦΧ6∆ΦΧ=2ΑΑ2Χ6:=6ΙΕ6Χ?6
3Α2158):154,−2)8Α+−6:154,)4:−4
4−
#6?≅>3Χ66Ε=2ΒΦ2=:ΕΠ56∆∆Ε2Ε:≅?∆ΒΦ6Γ≅Φ∆Α≅ΦΓ6Κ
Χ646Γ≅:Χ5ΠΑ6?556∆4≅?5:Ε:≅?∆56ΧΠ46ΑΕ:≅?∆ΦΧ=6=:6Φ
5:?∆Ε2==2Ε:≅?#2?Ε6??64Ν3=6∃%∗Α6Χ>6ΕΦ?6ΧΠ
46ΑΕ:≅?2ΑΑΧ≅ΑΧ:Π6
! ==65≅:ΕΡΕΧ6≅Χ:6?ΕΠ6∆ΦΧΕ≅ΦΕ6∆2=≅?8Φ6ΦΧ6?7≅?4
Ε:≅?56=2>6:==6ΦΧ6ΧΠ46ΑΕ:≅?Α≅∆∆:3=6
∀−9:1:;:154,−<1,Α59
! (244≅Χ56Κ=2ΑΑ2Χ6:=ΜΓ≅ΕΧ6ΕΠ=ΠΓ:∆6ΦΧΑ2Χ=:?Ε6Χ>Π
5:2:Χ656=2ΑΧ:∆6,∀&&+∗,≅Φ∆2Γ6Κ36
∆≅:?Μ46ΕΠ82Χ55Φ?4Ν3=64:?49ΒΦ:?672:ΕΑ2∆Α2Χ
Ε:65ΦΓ≅=Φ>656=:ΓΧ2:∆≅?
! (Π8=6Κ=6?ΕΧΠ65ΦΕΠ=ΠΓ:∆6ΦΧ,∀%∋+∗∆ΦΧΓ:5Π≅
≅Φ,)Γ≅:Χ?≅Ε:465ΦΕ:=:∆2Ε:≅?5ΦΕΠ=ΠΓ:∆6ΦΧ
! )Π=64Ε:≅??6Κ=6>≅56:∋≅52Φ>≅ϑ6?56

)&+(Π>2ΧΧ6Κ=2=64ΕΦΧ6Γ:5Π≅∆ΦΧ=:∋9≅?6
≅Φ=:∋≅54≅??64ΕΠ
∀−3)87;−
,≅Φ∆Α≅ΦΓ6ΚΑ6ΙΠ82=6>6?ΕΧ6∆Ε:ΕΦ6Χ56∆Γ:5Π≅∆Μ
Α2ΧΕ:Χ56Γ≅ΕΧ6=64Ε6ΦΧ56,≅Φ56Γ≅ΕΧ642>ΠΧ2Γ:5Π≅
(244≅Χ56ΚΜ46ΕΠ82Χ5=2ΑΑ2Χ6:=6ΙΕ6Χ?6∆ΦΧ=2ΑΧ:∆6
,∀&∀%,≅Φ∆2Γ6Κ36∆≅:?Μ46ΕΠ82Χ55Φ?4Ν3=6
4:?49ΒΦ:?672:ΕΑ2∆Α2ΧΕ:65ΦΓ≅=Φ>656=:ΓΧ2:∆≅?
! )Π=64Ε:≅??6Κ=6>≅56,,∀&∀%2Φ>≅ϑ6?56
)&+(
! Π>2ΧΧ6Κ=2=64ΕΦΧ6Γ:5Π≅∆ΦΧ=2ΑΑ2Χ6:=Χ244≅Χ5Π
+Ε:=:∆2Ε:≅?56=2ΑΑ2Χ6:=

%:1219):154,−2)66)8−12
∀−3)87;−
,≅Φ∆Α≅ΦΓ6Κ4≅>>2?56Χ=2ΑΑ2Χ6:=Μ=2:5656∆Ε≅Φ496∆
∆ΦΧ=2ΑΑ2Χ6:=≅Φ56=2ΕΠ=Π4≅>>2?56+?:?Ε:ΕΦ=Π:56?Ε:
ΒΦ66∆Ε∆ϑ?≅?ϑ>6567≅?4Ε:≅?:56?Ε:ΒΦ6
533−4:3−::8−−43)8+0−−:)88Χ:−8
2)66)8−12
! ∃6ΕΕ6Κ=2ΑΑ2Χ6:=6?>2Χ4962Φ>≅ϑ6?56

)&+(
! ∋≅ΦΧΠΕ6:?5Χ6=2ΑΑ2Χ6:=ΑΧ6∆∆6Κ=2Ε≅Φ496

)&+(
5672Ο≅?ΑΧ≅=≅?8Π6#2ΑΑ2Χ6:=∆6ΕΧ≅Φ
Γ66?>≅56Γ6:==6
,≅Φ∆Α≅ΦΓ6ΚΠ82=6>6?Ε>6ΕΕΧ66?>2Χ496ΠΕ6:?5Χ6
=2ΑΑ2Χ6:=Μ=2:5656=2Ε≅Φ496
56=2ΕΠ=Π4≅>>2?
56
#Α2−+:154,−2)95;8+−
! #2Ε≅Φ496
)&+(≅Φ)&+(Γ≅Φ∆
Α6Χ>6Ε564≅>>ΦΕ6ΧΓ6Χ∆=6∆>≅56∆:∋≅5(∀&
+.6Ε#∀%
∀Α/2)/−,;<52;3−95458−
! ∋Χ6∆∆6Κ=6∆Ε≅Φ496∆∴,&#≅ΦΑ≅ΦΧΧΠ8=6Χ
=6Γ≅=Φ>6∆≅?≅Χ6∆≅Φ92:ΕΠ
%:1219):154,);:8−92−+:−;89!
,≅Φ∆Α≅ΦΓ6ΚΧ6∆Ε:ΕΦ6ΧΕ≅ΦΕ62ΦΕΧ6∆≅ΦΧ46>Φ∆:42=6Α2Χ=6
3:2:∆56=2ΑΧ:∆6#∀%∀%ϑ4≅>ΑΧ:∆Φ?:∋≅5ΒΦ6Γ≅Φ∆
?:?∆ΠΧ6ΚΑ2∆52?∆=2∆Ε2Ε:≅?5244Φ6:=)Π=64Ε:≅??6Κ=6
>≅56#∀%2Φ>≅ϑ6?56)&+(
∀−3)87;−
?42∆5ΦΕ:=:∆2Ε:≅?5Φ?:∋≅5≅Φ52ΦΕΧ6∆=64Ε6ΦΧ∆∃∋
ΒΦ:?6∆≅?ΕΑ2∆Χ244≅Χ5Π∆Γ:2=2∆Ε2Ε:≅?5244Φ6:=:=?6?
ΧΠ∆Φ=Ε6Α2∆56492Χ862ΦΕ≅>2Ε:ΒΦ656∆244Φ>Φ=2Ε6ΦΧ∆
∀Α/2)/−,−2):54)21:Α
! ∋Χ6∆∆6Κ=6∆Ε≅Φ496∆∴))56=2ΕΠ=Π4≅>
>2?56Α≅ΦΧΧΠ8=6Χ=6∆32∆∆6∆
! ∋Χ6∆∆6Κ=6∆Ε≅Φ496∆∴∗(#Α≅ΦΧΧΠ8=6Χ=6∆
2:8ΦΣ∆,≅Φ∆Α≅ΦΧΧ6Κ2:?∆:252ΑΕ6Χ=6∆≅?Χ6∆Ε:ΕΦΠ5Φ
86?Χ6>Φ∆:42=Π4≅ΦΕΠ
+Ε:=:∆2Ε:≅?56=2ΑΑ2Χ6:=

5;6;8−,;954
,≅Φ∆Α≅ΦΓ6Κ4≅ΦΑ6Χ=6∆≅?5:Χ64Ε6>6?Ε6?ΑΧ6∆∆2?Ε=2
Ε≅Φ496∃+∗#277:492865ΦΓ≅=Φ>6∆≅?≅Χ64=:8?≅
Ε6+?6?≅ΦΓ6==6ΑΧ6∆∆:≅?∆ΦΧ=2Ε≅Φ496∃+∗Α6Χ
>6Ε56ΧΠ24Ε:Γ6Χ=6Γ≅=Φ>6∆≅?≅Χ6
∀Α/2)/−3)4;−2,−20−;8−
! ∋Χ6∆∆6Κ6?>≅56,∀##2ΑΑ2Χ6:=ΠΕ6:?Ε3Χ2?49Π
2Φ∆64Ε6ΦΧ=2Ε≅Φ496∗∀∃Α6?52?Ε6?Γ∆6
4≅?56∆#277:4928656∆96ΦΧ6∆4=:8?≅Ε6=Ε6Χ?2Ε:Γ6
∋Χ6∆∆6Κ=2Ε≅Φ496#∆ΦΧ=2ΑΑ2Χ6:=Α6?52?Ε∆6
4≅?56∆
! (Π8=6ΚΕ≅ΦΕ523≅Χ5=6∆96ΦΧ6∆Μ=2:5656∆Ε≅Φ496∆
""##ΑΦ:∆=6∆>:?ΦΕ6∆6ΕΓ2=:56ΚΧ6∆
Α64Ε:Γ6>6?Ε2Φ>≅ϑ6?56∗∀∃≅Φ2=Ε6Χ?2Ε:
Γ6>6?Ε2Φ>≅ϑ6?56#∆ΦΧ=2ΑΑ2Χ6:=
64672:Ε=96ΦΧ66∆ΕΧΠ8=Π66Ε4≅>>6?46Μ4≅>ΑΕ6Χ6?
>≅569
#96ΦΧ66∆Ε277:49Π66?>≅56Γ6:==6
∀−3)87;−
):2Φ4Φ?6Ε≅Φ496?6∆ΕΑΧ6∆∆Π66?>≅56ΧΠ8=286Α6?
52?ΕΑ=Φ∆56∆64≅?56∆46=Φ:4:6∆ΕΒΦ:ΕΕΠ2ΦΕ≅>2Ε:
ΒΦ6>6?Ε∆2?∆>Π>≅Χ:∆2Ε:≅?
ΑΧΘ∆Φ?6Α2??6564≅ΦΧ2?ΕΓ≅Φ∆56Γ6ΚΧΠ8=6ΧΜ?≅Φ
Γ62Φ=96ΦΧ6
%:1219):154,−2).54+:154#!)88Χ:
,1..Α8Α
,≅Φ∆Α≅ΦΓ6ΚΧΠ8=6ΧΑ2ΧΑ2∆56>:?ΦΕ6∆
=25ΦΧΠ62ΑΧΘ∆=2ΒΦ6==6=2ΑΑ2Χ6:=∆6>6Ε6?>≅56Γ6:==6
ΒΦ6=ΒΦ6∆≅:Ε=6>≅56≅ΑΠΧ2Ε≅:Χ652?∆=6ΒΦ6=:=∆6ΕΧ≅ΦΓ6
)#∋2ΑΑ2Χ2ΤΕ∆ΦΧ=277:496ΦΧ
! ∋≅ΦΧ67764ΕΦ6Χ=6ΧΠ8=286ΑΧ6∆∆6Κ=2Ε≅Φ496)#∋
5672Ο≅?ΧΠΑΠΕΠ6
≅>>6?Ε72:Χ67≅?4Ε:≅??6Χ=2Χ25:≅

533−4:.)18−.54+:1544−82)8),15
∀−3)87;−
#2ΑΑ2Χ6:=Χ6Ο≅:Ε=2Α=286567ΧΠΒΦ6?46∆
∃∃∴∃!Κ
! )Π=64Ε:≅??6Κ=2∆≅ΦΧ46(∀&2Φ>≅ϑ6?56
)&+(
! ):Γ≅Φ∆ΧΠ8=6Κ=282>>6∃Γ≅Φ∆∆≅ΧΕ:Χ=2?Ε6??6
4Ν3=6∆ΦΧΕ≅ΦΕ6∆2=≅?8Φ6ΦΧ6Ε=≅Χ:6?Ε6Χ27:?52>Π
=:≅Χ6Χ=2ΧΠ46ΑΕ:≅?
∀Α/2)/−,;4−9:):154
#Α2−+:1543)4;−22−,−99:):1549
! ∋Χ6∆∆6Κ3Χ:ΘΓ6>6?Ε=6∆Ε≅Φ496∆""##≅Φ
Α≅ΦΧ>≅5:7:6ΧΑ2∆ΜΑ2∆=27ΧΠΒΦ6?4656ΧΠ
46ΑΕ:≅?Γ6Χ∆=692ΦΕ≅ΦΓ6Χ∆=632∆2?∆=2Α=286
∃Α2ΧΑ2∆56∃!Κ64672:ΕΓ≅Φ∆Α≅ΦΧΧ6Κ
Π82=6>6?ΕΧΠ8=6Χ56∆Π>6ΕΕ6ΦΧ∆72:3=6∆5≅?ΕΓ≅Φ∆
4≅??2:∆∆6Κ=27ΧΠΒΦ6?46
#277:4928656=27ΧΠΒΦ6?46∆ΦΧ=277:496ΦΧ:?5:ΒΦ6=27ΧΠ
ΒΦ6?46ΧΠ8=Π6
∀−+0−8+0−);:53):17;−,−9:):1549
! +?6ΑΧ6∆∆:≅?ΑΧ≅=≅?8Π6∆ΦΧ=6∆Ε≅Φ496∆""##
6?Γ∆64≅?56∆Α6Χ>6Ε565Π>2ΧΧ6Χ=2
Χ6496Χ4962ΦΕ≅>2Ε:ΒΦ6#2Χ6496Χ4962ΦΕ≅>2Ε:ΒΦ6
Α6ΦΕΦ?:ΒΦ6>6?ΕΕΧ≅ΦΓ6Χ56∆∆Ε2Ε:≅?∆5≅?Ε=6∆:8?2=
56ΧΠ46ΑΕ:≅?6∆Ε7≅ΧΕ#6∆Π>6ΕΕ6ΦΧ∆72:3=6∆?6Α6Φ
Γ6?ΕΡΕΧ6ΧΠ8=Π∆ΒΦ6>2?Φ6==6>6?Ε
! +?6?≅ΦΓ6==6ΑΧ6∆∆:≅?∆ΦΧ=6∆Ε≅Φ496∆""##
6?Γ∆64≅?56∆Α6Χ>6Ε56Α≅ΦΧ∆Φ:ΓΧ6=2
Χ6496Χ4962ΦΕ≅>2Ε:ΒΦ6∋6?52?Ε=2Χ6496Χ4962ΦΕ≅
>2Ε:ΒΦ6=6>≅56Χ25:≅6∆Ε4≅ΦΑΠ
533−4:3Α35819−8,−99:):1549
#2>Π>≅:Χ656ΑΧ≅8Χ2>>6∆Α6ΦΕ>Π>≅Χ:∆6Χ;Φ∆ΒΦΜ
∆Ε2Ε:≅?∆52?∆=2Α=286∃
∀−3)87;−
#6∆∆Ε2Ε:≅?∆Χ6∆Ε6?Ε>Π>≅Χ:∆Π6∆42∆564≅ΦΑΦΧ6564≅Φ
Χ2?Ε
! (Π8=6Κ6?>≅56∗+%(Χ25:≅=2∆Ε2Ε:≅?∆≅Φ92:ΕΠ6
Μ=2:5656∆Ε≅Φ496∆""##
! ∋Χ6∆∆6Κ=2Ε≅Φ496∃∃
≅>>6?Ε72:Χ67≅?4Ε:≅??6Χ=2Χ25:≅

! )Π=64Ε:≅??6ΚΦ?6>Α=246>6?Ε56ΑΧ≅8Χ2>>6Μ
=2:5656=2Ε≅Φ496$∃%+%Μ46Ε
Π82Χ5ΑΧ6∆∆6Κ=642∆Π49Π2?ΕΑ=Φ∆:6ΦΧ∆7≅:∆=2Ε≅Φ
496
! ∃Π>≅Χ:∆6Κ=2∆Ε2Ε:≅?ΧΠ8=Π6∆ΦΧ=6>Α=246>6?Ε56
ΑΧ≅8Χ2>>6Μ=2:5656=2Ε≅Φ496∃∃
∀−3)87;−
):2Φ4Φ?6Ε≅Φ496?6∆Ε24Ε:≅??Π6Α6?52?Ε∆64≅?56∆=6
>≅56ΑΧ≅8Χ2>>2Ε:≅?6∆ΕΒΦ:ΕΕΠ2ΦΕ≅>2Ε:ΒΦ6>6?Ε
! ∃Π>≅Χ:∆2Ε:≅?52ΦΕΧ6∆∆Ε2Ε:≅?∆(ΠΑΠΕ6Χ=6ΑΧ≅46∆
∆Φ∆
#Α2−+:154,−99:):1549685/8)33Α−9
! ∋Χ6∆∆6Κ=2Ε≅Φ496$∃%+%Α≅ΦΧ5Π7:=6Χ
Γ6Χ∆=692ΦΕ≅ΦΓ6Χ∆=632∆6?ΕΧ6=6∆6>Α=246>6?Ε∆
56ΑΧ≅8Χ2>>6>Π>≅Χ:∆Π∆
#642?2=ΧΠ8=Π6∆Ε277:49Π∆ΦΧ=277:496ΦΧ
#;668−99154,;4−362)+−3−4:,−685
/8)33−3Α35819Α
! ,≅Φ∆Α≅ΦΓ6Κ677246Χ=2>Π>≅Χ:∆2Ε:≅?5Φ?6>Α=2
46>6?Ε56ΑΧ≅8Χ2>>66?>Π>≅Χ:∆2?ΕΦ?6?≅ΦΓ6==6
∆Ε2Ε:≅?∆ΦΧ=6>Α=246>6?Ε56ΑΧ≅8Χ2>>6
533−4:)88Χ:−82)66)8−12
! ∋≅ΦΧΠΕ6:?5Χ6=2ΑΑ2Χ6:=ΑΧ6∆∆6Κ=2Ε≅Φ496

#277:496ΦΧ∆ΠΕ6:?Ε6Ε=96ΦΧ66∆Ε277:49Π6
+Ε:=:∆2Ε:≅?56Γ≅ΕΧ6:∋≅5:∋9≅?6

%:1219):154,−<5:8−1!5,1!054−
19−−43)8+0−
! ==Φ>6Κ=2ΑΑ2Χ6:=2Φ>≅ϑ6?56=2Ε≅Φ496

! ≅??64Ε6ΚΓ≅ΕΧ6:∋9≅?6Γ≅ΕΧ6:∋≅5
! ∋Χ6∆∆6Κ=2Ε≅Φ496
)&+(5672Ο≅?ΧΠΑΠ
ΕΠ6Α≅ΦΧ∆Π=64Ε:≅??6Χ=2∆≅ΦΧ461!5,
! ∋Χ6∆∆6Κ=2Ε≅Φ496#Α≅ΦΧ5Π>2ΧΧ6Χ=2=64ΕΦΧ6
! ∋Χ6∆∆6Κ=2Ε≅Φ496#Α≅ΦΧ:?Ε6ΧΧ≅>ΑΧ6=2=64
ΕΦΧ6
#Α2−+:154,−:1:8−9∀−+0−8+0−8)61,−
! ∋Χ6∆∆6Κ3Χ:ΘΓ6>6?Ε=6∆Ε≅Φ496∆""##
Α≅ΦΧ∆2ΦΕ6Χ2ΦΕ:ΕΧ6∆Φ:Γ2?ΕΑΧΠ4Π56?Ε
! ∋Χ6∆∆6Κ=6∆Ε≅Φ496∆""##6Ε>2:?Ε6
?6Κ=6∆6?7≅?4Π6∆Α≅ΦΧ5Π>2ΧΧ6ΧΦ?6Χ6496Χ496Χ2
Α:56
=:14+:154
! ∋Χ6∆∆6Κ=2Ε≅Φ496
#2ΑΑ2Χ6:=2ΧΧΡΕ6=2=64ΕΦΧ6
6Ε4≅>>ΦΕ6=:∋≅56?>≅56,∀##
! =Ε6Χ?2Ε:Γ6∋Χ6∆∆6Κ=2Ε≅Φ496
)&+(56
72Ο≅?ΑΧ≅=≅?8Π6
! ∋6?52?ΕΒΦ6=:∋≅56∆Ε:?∆ΠΧΠ=6∆244Φ>Φ=2Ε6ΦΧ∆
∆≅?Ε492Χ8Π∆∆:=)66)8−12−9:−43)8+0−
∀−9:1:;:154,−<1,Α591!054−1!5,
! Χ2?496ΚΦ?4Ν3=6Γ:5Π≅∆ΦΧ=2∆≅ΧΕ:6Γ:5Π≅,∀&
&+∗
! (244≅Χ56Κ=64Ν3=6Γ:5Π≅ΜΓ≅ΕΧ6Π4Χ2?∗,
! Π>2ΧΧ6Κ=2=64ΕΦΧ6∆ΦΧ=:∋≅5:∋9≅?6
533)4,−,−<5:8−1!5,1!054−<1)
2−3−4;
#6∆Ε≅Φ496∆∆Φ:Γ2?Ε6∆Γ≅Φ∆Α6Χ>6ΕΕ6?Ε56Α:=≅Ε6Χ6Ε56
4≅>>2?56ΧΓ≅ΕΧ6:∋≅5:∋9≅?6:?∆ΠΧΠ52?∆=2∆Ε2Ε:≅?
5244Φ6:=
#Π>2ΧΧ6Χ=2=64ΕΦΧ6Α2Φ∆6
""##∗:ΕΧ6ΑΧΠ4Π56?Ε∆Φ:Γ2?ΕΧ6Ε≅ΦΧΧ2Α:56
2Γ2?46Χ2Α:56
;<−8:;8−,;3−4;
:∋&∃%+&ΦΓ6ΧΕΦΧ65Φ>6?Φ:∋≅5:∋9≅?6Χ6Ε≅ΦΧ
2Φ∆6:?5Φ>6?Φ
∃%+ !%2Γ:82Ε:≅?2Φ∆6:?5Φ>6?Φ
%∗(≅?7:Χ>2Ε:≅?56=2∆Π=64Ε:≅?24Ε:Γ2Ε:≅?56
=≅ΑΕ:≅?56>6?Φ≅ΦΓ6ΧΕΦΧ6
#24≅>>2?56∆67764ΕΦ64≅>>6Α2Χ=63:2:∆56∆Ε≅Φ496∆
564≅>>2?5656=:∋≅5(6Α≅ΧΕ6ΚΓ≅Φ∆=642∆Π49Π2?ΕΜ
=2?≅Ε:465ΦΕ:=:∆2Ε:≅?56Γ≅ΕΧ6:∋≅5
≅>>6?ΕΧ6>Π5:6Χ2ΦΙ6ΧΧ6ΦΧ∆

−::5>)/−,−2)66)8−12
∀197;−,Α2−+:85+;:154
7:?5ΠΓ:Ε6Χ=6Χ:∆ΒΦ65Φ?49≅4Π=64ΕΧ:ΒΦ6?6=2Γ6ΚΑ2∆
=2ΑΑ2Χ6:=2Γ64Φ?49:77≅?>≅Φ:==Π≅Φ∆≅Φ∆=62Φ4≅ΦΧ2?Ε6
Π3Χ2?496Κ=27:496∆64Ε6ΦΧ2Γ2?Ε=6?6ΕΕ≅ϑ286
∃∃∃ 
%ΦΕ:=:∆6ΚΑ2∆5ΠΑ≅?86Μ8Χ2ΕΕ6Χ56Α≅Φ5Χ6ΜΧΠ4ΦΧ6Χ?:
56∆≅=Γ2?ΕΕ6=ΒΦ6=2=4≅≅=≅Φ=6∆∆6?46
%6ΕΕ≅ϑ6Κ=63≅ΤΕ:6ΧΜ=2:565Φ?49:77≅?5≅ΦΙ=Π8ΘΧ6>6?Ε
9Φ>:56%ΦΕ:=:∆6ΚΑ2∆56∆≅=Γ2?Ε∆52=4≅≅=Μ3ΧΩ=6Χ56
5:=Φ2?Ε∆6Ε4:=∆Α≅ΦΧΧ2:6?Ε6?5≅>>286Χ=2∆ΦΧ724656
=2ΑΑ2Χ6:=
;:1219−?6)92−99;∗9:)4+−99;1<)4:−9
2Φ∆2=Π6:?∆64Ε:4:56∆∆≅=Γ2?Ε∆Μ32∆65649=≅Χ6≅Φ
524:562>>≅?:2ΒΦ6Α≅Φ5Χ6ΜΧΠ4ΦΧ6Χ
! ∋2∆∆6Κ=649:77≅?=Π8ΘΧ6>6?Ε∆ΦΧ=2∆ΦΧ7246;Φ∆ΒΦΜ
46ΒΦ6==6∆≅:Ε4≅>Α=ΘΕ6>6?Ε∆Θ496
533−4:8−3Α,1−8);=−88−;89
):=2ΑΑ2Χ6:=?67≅?4Ε:≅??6Α2∆4≅>>6ΑΧΠΓΦ4≅?ΕΧΥ=6Κ
=62Φ>≅ϑ6?56∆4≅?∆6:=∆∆Φ:Γ2?Ε∆
):Γ≅Φ∆?6Α≅ΦΓ6ΚΑ2∆Π=:>:?6Χ=65Π72ΦΕ>Ρ>62ΑΧΘ∆
=6∆4≅?ΕΧΥ=6∆5Π4Χ:Ε∆Γ6Φ:==6Κ4≅?Ε24Ε6Χ=6723Χ:42?Ε
!85∗2Β3−9)<−+2):Α2Α+533)4,−
#>36:∆3− );9−65991∗2−8−3Β,−
#2ΕΠ=Π4≅>>2?56
?67≅?4Ε:≅??6Α2∆
∋:=6>2=:?∆ΠΧΠ6≅Φ72:3=6
≅?ΕΧΥ=6Κ=2Α≅=2Χ:ΕΠΧ6>Α=246Κ=2Α:=6
#:2:∆≅?∀(:?Ε6ΧΧ≅>ΑΦ6
?=6Γ6Κ=6∆≅3;6Ε∆ΒΦ:∆6ΕΧ≅ΦΓ6?Ε6?ΕΧ6=2
ΕΠ=Π4≅>>2?566Ε=2ΑΑ2Χ6:=
:∆Ε2?46ΕΧ≅Α8Χ2?56
:∆Ε2?46>2ΙΑ2ΧΧ2ΑΑ≅ΧΕΜ=2ΑΑ2Χ6:=
>ΘΕΧ6∆
≅>>6?ΕΧ6>Π5:6Χ2ΦΙ6ΧΧ6ΦΧ∆

!85∗2Β3−9)<−+2)9:):154,)++;−12
1!054−1!5,
#>36:∆3− );9−65991∗2−8−3Β,−
#:∋9≅?6:∋≅5?6
Α6ΦΕΑ2∆ΡΕΧ6:?∆ΠΧΠ
4≅ΧΧ64Ε6>6?Ε
(6Ε:Χ6Κ=642∆Π49Π2?ΕΦ?6?≅ΦΓ6==6
7≅:∆=:∋9≅?6:∋≅56ΕΧΠ:?∆ΠΧ6Κ=6
≅?ΕΧΥ=6Κ∆:56∆4≅ΧΑ∆ΠΕΧ2?86Χ∆∆6
ΕΧ≅ΦΓ6?Ε52?∆=2∆Ε2Ε:≅?5244Φ6:=
#:∋9≅?6:∋≅5?6∆Ε
Α2∆492Χ8Π
#:∋9≅?6:∋≅5?6∆ΕΑ2∆:?∆ΠΧΠ4≅ΧΧ64
Ε6>6?Ε#642∆Π49Π2?Ε=:?∆ΠΧ6ΧΜ
?≅ΦΓ62Φ≅?ΕΧΥ=6Κ∆:56∆4≅ΧΑ∆ΠΕΧ2?
86Χ∆∆6ΕΧ≅ΦΓ6?Ε2Φ?:Γ62Φ56∆4≅??6
Ι:≅?∆=6∆?6ΕΕ≅ϑ6Χ=642∆Π49Π2?Ε
#:∋9≅?6:∋≅5∆6ΕΧ≅ΦΓ6Μ=ΠΕ2ΕΓ6Χ
Χ≅Φ:==Π≅?ΕΧΥ=6Κ∆:=:∋9≅?6:∋≅5Α6ΦΕ
ΡΕΧ64≅>>2?5Π4≅ΧΧ64Ε6>6?ΕΜ=6ΙΕΠ
Χ:6ΦΧ#642∆Π49Π2?Ε=:∆6Κ=2?≅Ε:465Φ
723Χ:42?Ε
Φ4Φ?∆≅??6∆Ε
2Φ5:3=6
Φ8>6?Ε6Κ=6Γ≅=Φ>6
4Ε:Γ6Κ=2=64ΕΦΧ6∆ΦΧ=:∋9≅?6:∋≅5
≅?ΕΧΥ=6Κ=2∆Ε2Ε:≅?5244Φ6:=
∆∆ΦΧ6ΚΓ≅Φ∆5ΦΕ:=:∆6Χ=6=≅8:4:6==6Α=Φ∆
24ΕΦ6=Α≅ΦΧ=:∋≅5:∋9≅?6
∋Χ6∆∆6Κ=2Ε≅Φ496:∋&
Π∆24Ε:Γ6Χ=27≅?4Ε:≅?564≅ΦΑΦΧ65Φ
∆≅?∃+∗
!85∗2Β3−9)<−+2)8),15
#>36:∆3− );9−65991∗2−8−3Β,−
#2ΑΑ2Χ6:=?6Χ6Ο≅:Ε
2Φ4Φ?6∆Ε2Ε:≅?
#2ΑΑ2Χ6:=?6∆6ΕΧ≅ΦΓ6Α2∆6?>≅56
Χ25:≅
≅>>ΦΕ6Κ6?>≅56(∀&2Φ>≅ϑ6?
56)&+(
2ΦΕΧ6∆2ΑΑ2Χ6:=∆Α2Χ6ΙΦ?ΕΠ=ΠΓ:
∆6ΦΧΑ6ΧΕΦΧ36?Ε=2ΧΠ46ΑΕ:≅?
=≅:8?6Κ52Γ2?Ε286=2Χ25:≅5646∆
2ΑΑ2Χ6:=∆
#6∆≅?6∆Ε72:3=6≅Φ
56>2ΦΓ2:∆6ΒΦ2=:ΕΠ
#2?Ε6??6?6∆ΕΑ2∆5ΠΓ6=≅ΑΑΠ6≅Φ
?6∆ΕΑ2∆≅Χ:6?ΕΠ6
)≅ΧΕ6Κ=2?Ε6??6
≅>>6?ΕΧ6>Π5:6Χ2ΦΙ6ΧΧ6ΦΧ∆

!85∗2Β3−9)<−+2)66)8−12
#>36:∆3− );9−65991∗2−8−3Β,−
#2ΑΑ2Χ6:=?67≅?4Ε:≅??6
Α2∆
#2ΑΑ2Χ6:=?6∆ΕΑ2∆2=:>6?ΕΠ6?
4≅ΦΧ2?Ε
(244≅Χ56Κ4≅ΧΧ64Ε6>6?Ε=64Ν3=6
52=:>6?Ε2Ε:≅?∆ΦΧ=2ΑΧ:∆6∆64Ε6ΦΧ
Φ4Φ?∆≅??6∆Ε2Φ5:3=6 Φ8>6?Ε6Κ=6Γ≅=Φ>6∆≅?≅Χ6∆ΦΧ=6
∆ϑ∆ΕΘ>6=:∋9≅?6:∋≅5≅Φ∆ΦΧ=2
∆≅ΦΧ466ΙΕ6Χ?6Π>2ΧΧ6Κ=2=64ΕΦΧ6
Π∆24Ε:Γ6Χ=27≅?4Ε:≅?564≅ΦΑΦΧ65Φ
∆≅?∃+∗∋Χ6∆∆6Κ=2Ε≅Φ496
)&+(
+?3ΧΦ:ΕΑ2Χ2∆:Ε66∆Ε2Φ5:
3=6
+?2ΦΕΧ62ΑΑ2Χ6:=Π>6Ε56∆≅?56∆
Χ25:≅Α6ΧΕΦΧ32ΕΧ:46∆ΜΑΧ≅Ι:>:ΕΠ56
=2ΑΑ2Χ6:=
=≅:8?6Κ=2ΦΕΧ62ΑΑ2Χ6:=56=6?Γ:Χ≅?
?6>6?Ε56=2ΑΑ2Χ6:=

2ΦΕΧ6∆5ΠΧ2?86>6?Ε∆56
4≅>>2?56≅Φ3ΧΦ:Ε∆7≅ΧΕ∆
2ΑΑ2Χ2:∆∆6?Ε=6∆ϑ∆ΕΘ>6
?6ΧΠ28:ΕΑ2∆
6∆4≅>Α≅∆2?Ε∆Π=64ΕΧ≅?:ΒΦ6∆56
=2ΑΑ2Χ6:=∆≅?Ε6?5ΠΧ2?86>6?Ε
Π3Χ2?496Κ=27:496∆64Ε6ΦΧ#2:∆∆6Κ
=2ΑΑ2Χ6:=∆ΠΑ2ΧΠ56=2∆≅ΦΧ4656
4≅ΦΧ2?ΕΑ6?52?Ε6?Γ∆64≅?56∆
(63Χ2?496Κ=2ΑΑ2Χ6:=
#277:496ΦΧ?6∆ΕΑ2∆24Ε:
ΓΠ
Ε6:8?6Κ=2ΑΑ2Χ6:=
Π3Χ2?496Κ=27:496∆64Ε6ΦΧΧ63Χ2?
496Κ=2>6ΕΕ6Κ=2ΑΑ2Χ6:=6?>2Χ496
#>36:∆3− );9−65991∗2−8−3Β,−
#24≅>>ΦΕ2Ε:≅?6?ΕΧ6
=6∆7≅?4Ε:≅?∆:∋≅5
(25:≅ΦΙ6Ε#:?6
?67≅?4Ε:≅??6Α2∆
(Π8=6Κ=642∆Π49Π2?Ε=96ΦΧ6
2Χ24ΕΠΧ:∆Ε:ΒΦ6∆Ε649?:ΒΦ6∆

)8)+:Α819:17;−9:−+0417;−9
:>6?∆:≅?∆56=2ΑΑ2Χ6:=
=Ι9ΙΑ
6?Γ>>Ι>>Ι>>
∋≅:5∆∆2?∆3=≅452=:>6?
Ε2Ε:≅?
6?Γ<8
=:>6?Ε2Ε:≅?Π=64ΕΧ:ΒΦ6
=≅452=:>6?Ε2Ε:≅?
?ΕΧΠ64≅ΦΧ2?Ε2=Ε6Χ?2Ε:7,
!Κ
)≅ΧΕ:644,
∋Φ:∆∆2?46 Ι−92ΦΕΑ2Χ=6ΦΧ56ΙΕΧΡ>6∆
8Χ2Γ6∆−−
∋Χ:∆6+.∀% 7:496;24<>>
(#∆ΕΠΧΠ≅:?49
,:56≅&ΦΕ ,):?49
∋:=656=2ΕΠ=Π4≅>>2?56
(
≅?5:Ε:≅?∆2>3:2?Ε6∆ ΞΜΞ
Μ59Φ>:5:ΕΠΧ6=2Ε:Γ6∆2?∆
4≅?56?∆2Ε:≅?
≅>Α2Ε:3:=:ΕΠ #6∆ϑ∆ΕΘ>6∆≅?Μ∗&+(6∆Ε4≅>Α2
Ε:3=62Γ64Ε≅Φ∆=6∆:∋9≅?66Ε=2Α=Φ
Α2ΧΕ56∆>≅5Θ=6∆:∋≅5
)≅Φ∆ΧΠ∆6ΧΓ656>≅5:7:42Ε:≅?∆Ε649?:ΒΦ6∆6Ε56ΧΧ6ΦΧ∆
#6∆5:>6?∆:≅?∆∆≅?Ε56∆Γ2=6ΦΧ∆2ΑΑΧ≅Ι:>2Ε:Γ6∆
18−+:1<−9−:4583−9
6ΑΧ≅5Φ:Ε6∆Ε4≅?7≅Χ>6Μ
=25:Χ64Ε:Γ6∆ΦΧ=232∆∆6Ε6?∆:≅?

=25:Χ64Ε:Γ6∃6Ε=2
=25:Χ64Ε:Γ6∆ΦΧ=6>2ΧΒΦ286
:∋≅5:∋9≅?6:∆2ΕΧ256>2Χ<≅7ΑΑ=6≅>ΑΦΕ6Χ∀?4
Χ68:∆Ε6Χ65:?Ε96+)2?5≅Ε96Χ4≅Φ?ΕΧ:6∆
]∃2567≅Χ:∋9≅?6:∋≅5⊥>62?∆Ε92Ε2?6=64ΕΧ≅?:42446∆∆≅Χϑ92∆366?
56∆:8?65Ε≅4≅??64Ε∆Α64:~42==ϑΕ≅:∋9≅?6:∋≅52?592∆366?46ΧΕ:~65
3ϑΕ9656Γ6=≅Α6ΧΕ≅>66ΕΑΑ=6Α6Χ7≅Χ>2?46∆Ε2?52Χ5∆
ΑΑ=6:∆?≅ΕΧ6∆Α≅?∆:3=67≅ΧΕ96≅Α6Χ2Ε:≅?≅7Ε9:∆56Γ:46≅Χ:Ε∆4≅>Α=:2?
46Η:Ε9∆276Εϑ2?5Χ68Φ=2Ε≅Χϑ∆Ε2?52Χ5∆
≅>>6?Ε4≅?Ε24Ε6Χ=6723Χ:42?Ε

533−4:+54:)+:−82−.)∗81+)4:
  >3!
Χ2706ΑΑ6=:?)ΕΧ2Ψ6
#2?5∆36Χ8
ΗΗΗ5Φ2=56
5491/4−9,Α21314):154
21314):154,−2−3∗)22)/−
,≅ΕΧ6?≅ΦΓ6=2ΑΑ2Χ6:=2ΠΕΠΑΧ≅ΕΠ8ΠΑ2ΧΦ?6>32==286
=≅Χ∆56∆≅?2496>:?6>6?Ε∗≅Φ∆=6∆>2ΕΠΧ:2ΦΙΦΕ:=:∆Π∆
∆≅?Ε4≅>Α2Ε:3=6∆2Γ64=6?Γ:Χ≅??6>6?Ε6ΕΧ64ϑ4=23=6∆
,6Φ:==6Κ2ΑΑ≅ΧΕ6ΧΓ≅ΕΧ64≅?ΕΧ:3ΦΕ:≅?6ΕΠ=:>:?6Κ=6>32==2
865672Ο≅?Χ6∆Α64ΕΦ6Φ∆656=6?Γ:Χ≅??6>6?Ε≅?46Χ
?2?Ε=6∆>≅ϑ6?∆24ΕΦ6=∆5Π=:>:?2Ε:≅?56∆5Π496Ε∆:?
7≅Χ>6ΚΓ≅Φ∆2ΦΑΧΘ∆56Γ≅ΕΧ6Χ6Γ6?56ΦΧ≅Φ4≅?46Χ?2?Ε
Γ≅ΕΧ6:?∆Ε2==2Ε:≅?5686∆Ε:≅?565Π496Ε∆4≅>>Φ?2=6
)4/−8,Α:5;..−3−4:
%6=2:∆∆6ΚΑ2∆=6>32==2866Ε∆6∆Π=Π>6?Ε∆Μ56∆6?
72?Ε∆
2?86Χ5ΠΕ≅Φ776>6?ΕΑ2Χ=6∆7:=>∆≅Φ52ΦΕΧ6∆>2ΕΠΧ:2ΦΙ
56>32==286
19−);8−∗;:,−2)66)8−12
#6∆2ΑΑ2Χ6:=∆Φ∆28Π∆?6∆≅?ΕΑ2∆56∆5Π496Ε∆∆2?∆Γ2
=6ΦΧ+?6Π=:>:?2Ε:≅?Χ6∆Α64ΕΦ6Φ∆656=6?Γ:Χ≅??6>6?Ε
Α6Χ>6Ε56Χ64ϑ4=6Χ56∆>2Ε:ΘΧ6∆3ΧΦΕ6∆ΑΧΠ4:6Φ∆6∆(6?
∆6:8?6Κ2ΦΑΧΘ∆56=25>:?:∆ΕΧ2Ε:≅?56Γ≅ΕΧ6Γ:==6≅Φ56
Γ≅ΕΧ64≅>>Φ?64≅?46Χ?2?Ε=6∆Α≅∆∆:3:=:ΕΠ∆5Φ?6Π=:>:?2
Ε:≅?ΧΠ8=6>6?Ε2:Χ66ΕΧ6∆Α64ΕΦ6Φ∆656=6?Γ:Χ≅??6>6?Ε
56=2ΑΑ2Χ6:=#6∆Α:=6∆5≅:Γ6?ΕΡΕΧ6Χ6Ε:ΧΠ6∆56=2ΑΑ2Χ6:=
2Γ2?Ε=Π=:>:?2Ε:≅?5646=Φ:4:
)4/−8,−358:
Π3Χ2?496Κ=27:496∆64Ε6ΦΧ∆ΦΧ=6∆2ΑΑ2Χ6:=∆ΒΦ:?6
∆≅?ΕΑ=Φ∆ΦΕ:=:∆Π∆Π4≅??64Ε6Κ=64Ν3=652=:>6?Ε2Ε:≅?6Ε
5Π3Χ2?496Κ=62Γ64=27:496
−:)66)8−12−9:3)87;Α9−2542),18−+:1<−
+54+−84)4:2−9)66)8−129Α2−+:817;−9−:Α2−+:85417;−9
;9)/Α9∋
−685,;1:)881<Α−4.14,−<1−4−,51:6)9Χ:8−Α21314Α6)82−
∗1)19,−958,;8−93Α4)/Β8−958,14)18−912,51:Χ:8−8−319≅
;46514:,−+522−+:−68Α<5>)4:2−8−+>+2)/−,)66)8−129Α2−+
:817;−9−:Α2−+:85417;−9−9>3∗52−.1/;8)4:9;82−685,;1:
,)492−3)4;−2,;:1219):1545;9;82−3∗)22)/−)::18−<5:8−
)::−4:154≅+−:Α/)8,−93):Α81);=954:8−+>+2)∗2−9+54.58
3Α3−4:≅2−;83)87;)/−<−+2)8Α;:1219):1542−8−+>+2)/−
,−93):Α81);=5;,);:8−9.583−9,−8−+>+2)/−,)66)8−129
;9)/Α9<5;9)6658:−?;4−+54:81∗;:15413658:)4:−≅2)685
:−+:154,−45:8−−4<18544−3−4:
.!
.78∗1&&9).3&8366∗
7869<.32.)973

6∗1∗77&
(Φ7∆Ε≅>3?Φ3=73;ΦΕ33ΦΕ;=;ΚΚ3Χ7
;?>≅6≅∆;5ΦΧ≅7
5≅?8≅Χ>73ΒΦ3?Ε≅ΑΧ7∆5Χ;ΕΕ≅
,∆≅67=∆;∆Ε7>33Φ6;≅ΒΦ;6;∆79Φ;Ε≅5:;3>3Ε≅;>Α;3?Ε≅
≅3ΑΑ3Χ755:;≅
∗78.2&8&6.).59∗78∗.7869<.32.)≅973
#7;∆ΕΧΦΚ;≅?;6Φ∆≅∆≅?≅Χ;Γ≅=Ε735≅=≅Χ≅5:7
;?∆Ε3==3?≅
ΦΕ;=;ΚΚ3?≅
ΑΦ=;∆5≅?≅
≅∆>3=Ε;∆5≅?≅=3ΑΑ3Χ755:;≅
&6&88∗6.78.(−∗,6&+.(−∗).59∗78∗
.7869<.32.)973
;Γ7Χ∆;7=7>7?Ε;67=>3?Φ3=7∆≅?≅5≅?ΕΧ3∆∆79?3Ε;5≅?
∆;>4≅=;Α3ΧΕ;5≅=3Χ;∀?
ΒΦ7∆Ε≅>≅6≅Χ;∆Φ=Ε3∆7>Α=;5753Α;Χ7∆7∆;ΕΧ3ΕΕ36;
Ε7∆Ε≅?≅Χ>3=7
7=7?5:;≅
! ;∆ΕΧΦΚ;≅?;≅Α7Χ3Ε;Γ7
%≅>;67==73Κ;7?67;∆Ε;ΕΦΚ;≅?;≅>3Χ5:75;Ε3Ε;∆≅?≅>3Χ5:;
≅>3Χ5:;Χ79;∆ΕΧ3Ε;7∆≅?≅ΑΧ≅ΑΧ;7ΕΜ67;Χ;∆Α7ΕΕ;Γ;Ε;Ε≅=3Χ;
38&4∗6.06∗7∗8
∀?3=5Φ?;Χ3Χ;53∆;ΑΦΘ∆Φ55767Χ75:7;=∆≅8ΕΗ3Χ767==3Α
Α3Χ755:;≅∆;Ω4=≅55:;Ξ75:7ΒΦ7∆ΕΦ=Ε;>≅?≅?Χ739;∆53Α;Ρ
3?7∆∆Φ?5≅>3?6≅
∀?Ε3=;53∆;ΑΧ≅5767Χ7?7=>≅6≅∆79Φ7?Ε7
∆Α79?7Χ7=3ΑΑ3Χ755:;≅
∆ΕΧ3ΧΧ7=3∆Α;?363==3ΑΧ7∆3
ΕΕ7?67Χ7ΒΦ3=5:7>;?ΦΕ≅
∀?∆7Χ;Χ7=3∆Α;?3?7==3ΑΧ7∆3
3557?67Χ7=3ΑΑ3Χ755:;≅
#3>7>≅Χ;36;∆;∆Ε7>3Γ;7?7Χ7∆7ΕΕ3Ε37=3ΑΑ3Χ755:;≅Ο
6;?Φ≅Γ≅ΑΧ≅?Ε≅38Φ?Κ;≅?3Χ7
∀?6;57

2).(∗
#.78&).27.∗1∗)∗00&44&6∗((−.3 
+7=75≅>3?6≅ 
38∗7900973
%≅Χ>76;∆;5ΦΧ7ΚΚ3 
,∆≅67==743ΕΕ7Χ;7 
∗7(6.<.32∗)∗00&44&6∗((−.3
≅?Ε7?ΦΕ≅67==35≅?87Κ;≅?7
6∗4&6&<.32∗)∗00&44&6∗((−.346.1&)∗00&
1∗77&.2+92<.32∗ 
≅>7>≅?Ε3Χ7=3Α;3∆ΕΧ343∆7 
≅>75≅==793Χ7=3=;>7?Ε3Ε≅Χ7
∀?∆7Χ;>7?Ε≅67==343ΕΕ7Χ;3?7=Ε7=75≅>3?6≅ 
≅>75≅==793Χ7=;∋≅6;∋:≅?7 
≅==793>7?Ε≅6;Φ?38≅?Ε73Φ6;≅7∆Ε7Χ?3
≅>7>;9=;≅Χ3Χ7=3Χ;57Κ;≅?767==3?Ε7??3 
);ΑΧ≅6ΦΚ;≅?76;Γ;67≅
∀8.0.<<3)∗00&44&6∗((−.3 
557?∆;≅?77∆Α79?;>7?Ε≅67==3ΑΑ3Χ755:;≅
≅>7;>Α≅∆Ε3Χ7=3∆≅Χ97?Ε7 
≅>7Χ79≅=3Χ7;=Γ≅=Φ>7 
≅>7Χ79≅=3Χ7;=∆Φ≅?≅ 
≅>73ΕΕ;Γ3Χ7=3ΚΚ7Χ3>7?Ε≅67=Γ≅=Φ>7 
≅>7;>Α≅∆Ε3Χ7>3?Φ3=>7?Ε7=≅Χ3 
≅>7ΦΕ;=;ΚΚ3Χ7=38Φ?Κ;≅?7∗=77Α
31∗98.0.<<&6∗0&6&).3
≅>7;>Α≅∆Ε3Χ7Φ?3∆Ε3Κ;≅?7 
≅>7>7>≅Χ;ΚΚ3Χ7=7∆Ε3Κ;≅?;7>;ΕΕ7?Ε; 
∗Α79?;>7?Ε≅67==3ΑΑ3Χ755:;≅
31∗98.0.<<&6∗0.3).−32∗
557?∆;≅?7 
∗Α79?;>7?Ε≅
≅>7Χ;ΑΧ≅6ΦΧΧ7Γ;67≅6;;∋:≅?7;∋≅6
≅>7ΦΕ;=;ΚΚ3Χ7=;∋≅6=;∋:≅?7>76;3?Ε7;=>7?Φ  
31∗490.6∗0&44&6∗((−.3  
0.1.2&<.32∗)∗00∗&231&0.∗ 
&8.8∗(2.(.
2).(&<.32.4∗60371&08.1∗283  
−;∆Ε36;?∆;7>767==3ΑΑ3Χ755:;≅

!∗0∗(31&2)3
15
29
28
27
26
16
18
20
22
17
19
21
23
24
25

∋&.)
557?∆;≅?7∆Α79?;>7?Ε≅
∗+%0
 ∗#∋ Φ?Κ;≅?7∆=77Α
 ∃,+ ∗≅ΑΑΧ7∆∆;≅?767==3Φ6;≅
 ∃%, ∃7?Φ;∋:≅?7;∋≅6ΦΑ
∗7=7Κ;≅?3Χ7∆Ε3Κ;≅?;Χ36;≅∋)∗+
 ∗&,) ∃≅6≅≅Α7Χ3Ε;Γ≅8Φ?Κ;≅?7;∋:≅?7
Χ36;≅−3Φ6;≅Γ;67≅∀%#∀%
8≅?Ε77∆Ε7Χ?3
 %+) ≅?87Χ>3
∋Χ7>7Χ7Α7Χ∆7=7Κ;≅?3Χ7Φ?>7?Φ≅
5≅?87Χ>3Χ7Φ?≅ΑΚ;≅?7;>>;∆∆;≅?7
 ##%/+ Χ3?≅∆Φ557∆∆;Γ≅3Γ3?Ε;
);57Χ53Χ3Α;637>;ΕΕ7?Ε;
 !∃%, ∃7?Φ;∋:≅?7;∋≅6&.%
∗7=7Κ;≅?3Χ7∆Ε3Κ;≅?;Χ36;≅∋)∗+
 # ∋#0∋,∗
 ?−&#,∃ +3∆Ε;Γ≅=Φ>7
 ?∗∗ )79≅=3Κ;≅?767;43∆∆;
 ?+)# )79≅=3Κ;≅?7679=;3=Ε;

∃∃+∀∃
∃7>≅Χ;ΚΚ3Κ;≅?7∆Ε3Κ;≅?;∋)∗+
≅Χ3
 ""∋)− Χ3?≅ΑΧ75767?Ε7;?6;7ΕΧ≅
);57Χ53Χ3Α;637>;ΕΕ7?Ε;
 ;∋&∃%, Α7ΧΕΦΧ3>7?Φ;?6;7ΕΧ≅
%≅Ε7∆Φ==Φ∆≅

38∗7900973
#7997Χ73ΕΕ7?Ε3>7?Ε7=7?≅Χ>76;∆;5ΦΧ7ΚΚ375≅?∆7ΧΓ3Χ
=7Α7Χ7Γ7?ΕΦ3=;5≅?∆Φ=Ε3Κ;≅?;∆Φ557∆∆;Γ7∗79Φ;Χ7∆7>
ΑΧ7ΕΦΕΕ7=73ΓΓ7ΧΕ7?Κ77;∆ΕΧΦΚ;≅?;6;ΒΦ7∆Ε≅>3?Φ3=77
Χ;Α≅ΧΕ3Ε7∆Φ=Χ7ΕΧ≅67==3ΑΑ3Χ755:;≅
361∗).7.(96∗<<&
88∗2<.32∗
#3ΑΑ3Χ755:;≅ΑΦΘ∆≅=≅7∆∆7Χ75≅==793Ε≅3Φ?3Ε7?∆;≅?7
6;Χ7Ε76;−Λ!Κ%≅?57Χ53Ε7>3;6;83Χ
8Φ?Κ;≅?3Χ7=3ΑΑ3Χ755:;≅5≅?Φ?3=ΕΧ3Ε7?∆;≅?7
,∆3Χ7∆≅=≅=3=;>7?Ε3Ε≅Χ73∆Α;?38≅Χ?;Ε≅;?6≅Ε3Κ;≅?7
#3∆Α;?367Γ77∆∆7Χ75≅==793Ε3∆≅=≅3=Ε7Χ>;?767==;?
∆Ε3==3Κ;≅?73?≅Χ>3
∗7;=53Γ≅6;Χ7Ε7Ο9Φ3∆Ε≅≅∆7=3ΑΑ3Χ755:;≅ΑΧ7∆7?Ε3
3=ΕΧ;63??;?≅?67Γ77∆∆7Χ7>7∆∆≅;?8Φ?Κ;≅?7
(Φ3?6≅∆;7∆ΕΧ37=3=;>7?Ε3Ε≅Χ763==3ΑΧ7∆3Ε;Χ3Χ7Ε7
?7?6≅=3∆Α;?3?≅?;=53Γ≅
∋7Χ7Γ;Ε3Χ7Χ;∆5:;6;;?57?6;7;=Α7Χ;5≅=≅6;∆5≅∆∆37=7Ε
ΕΧ;53?≅?7∆Α≅ΧΧ7=3ΑΑ3Χ755:;≅3==3Α;≅99;3≅363=ΕΧ7
8≅?Ε;6;Φ>;6;ΕΜ
%≅?>7ΕΕ7Χ7;?8Φ?Κ;≅?7=3ΑΑ3Χ755:;≅?7==7Γ;5;?3?Κ76;
Γ3∆5:763439?≅Α;∆5;?7≅6≅Γ7∆;8≅Χ>3?≅∆ΑΧΦΚΚ;
635ΒΦ3
%≅?>7ΕΕ7Χ7>3;5≅?Ε7?;Ε≅Χ;5≅?=;ΒΦ;6;7∆Γ3∆;6;8;≅Χ;
∆Φ==3ΑΑ3Χ755:;≅(Φ7∆Ε;Α≅ΕΧ7447Χ≅Χ≅Γ7∆5;3Χ∆;7;==;
ΒΦ;6≅8Φ≅Χ;Φ∆5;Ε≅ΑΦΘΑΧ≅Γ≅53Χ763??;5≅?∆;67Χ7Γ≅=;≅
53Φ∆3Χ7Φ?3∆5≅∆∆37=7ΕΕΧ;53
∗76≅Γ7∆∆7Χ≅Α7?7ΕΧ3Χ75≅ΧΑ;7∆ΕΧ3?7;?7==3ΑΑ3Χ755:;≅
7∆ΕΧ3ΧΧ7=3∆Α;?363==3ΑΧ7∆33Χ5≅?ΕΧ≅==3Χ7=3ΑΑ3Χ75
5:;≅63Α7Χ∆≅?3=77∆Α7ΧΕ≅3=Ε3>7?Ε7ΒΦ3=;8;53Ε≅ΑΧ;>36;
Χ;>7ΕΕ7Χ=≅;?8Φ?Κ;≅?7∀?53∆≅5≅?ΕΧ3Χ;≅5Ο;=Χ;∆5:;≅6;
∆Φ4;Χ7Φ?3∆5≅∆∆37=7ΕΕΧ;53
%≅?3ΑΧ;Χ7=;?Γ≅=Φ5Χ≅7∆Ε7Χ?≅67==3ΑΑ3Χ755:;≅∀?53∆≅
5≅?ΕΧ3Χ;≅5Ο;=Χ;∆5:;≅6;∆Φ4;Χ7Φ?3∆5≅∆∆37=7ΕΕΧ;53
%≅?57Χ53Χ7>3;6;Χ;Α3Χ3Χ763∆≅=;Φ?3ΑΑ3Χ755:;≅
6;87ΕΕ≅∆≅);Γ≅=97Χ∆;∆7>ΑΧ73Φ?≅67;?≅∆ΕΧ;57?ΕΧ;6;
3∆∆;∆Ε7?Κ35=;7?Ε;
%≅?3ΑΧ;Ε7=3ΑΑ3Χ755:;≅;??7∆∆Φ?53∆≅Ο5≅?∆7?Ε;Ε≅
∆≅=≅3Φ?Ε75?;5≅7∆Α7ΧΕ≅
≅ΧΑ;7∆ΕΧ3?7;367∆39:;>≅?7Ε7755?≅?67Γ≅?≅
5367Χ73==;?Ε7Χ?≅67==3ΑΑ3Χ755:;≅
%≅?∆;67Γ≅?≅Α≅∆3Χ78≅?Ε;6;5≅>4Φ∆Ε;≅?7=;47Χ75≅>7
367∆53?67=73557∆7∆Φ==3ΑΑ3Χ755:;≅
%≅?Α7Χ>7ΕΕ7Ε7>3;5:7;43>4;?;ΦΕ;=;ΚΚ;?≅63∆≅=;=3Α
Α3Χ755:;≅
3Χ77∆79Φ;Χ7;=3Γ≅Χ;6;>3?ΦΕ7?Κ;≅?7∆7>ΑΧ763Α7Χ∆≅
?3=7∆Α75;3=;ΚΚ3Ε≅ΒΦ3=;8;53Ε≅∀?53∆≅5≅?ΕΧ3Χ;≅Γ;Ο;=Χ;
∆5:;≅6;>7ΕΕ7Χ7;?Α7Χ;5≅=≅∆7∆Ε7∆∆;79=;3=ΕΧ;
%≅Ε7∆Φ==Φ∆≅

%≅?Ε≅553Ε7=75≅??7∆∆;≅?;∆Φ==3Ε≅Α≅∆Ε7Χ;≅Χ767==3ΑΑ3
Χ755:;≅5≅?≅997ΕΕ;>7Ε3==;5;≅5≅?=76;Ε3∋≅ΕΧ7447Χ≅
Γ7Χ;8;53Χ∆;5≅ΧΕ≅5;Χ5Φ;Ε;
#3ΑΑ3Χ755:;≅Χ;>3?75≅==793Ε≅3==3Χ7Ε77=7ΕΕΧ;533?5:7
∆7∆;ΕΧ≅Γ36;∆3ΕΕ;Γ3Ε≅;?∆Ε3?64ϑ∆ΕΧ3ΧΧ7=3∆Α;?3
67==3=;>7?Ε3Ε≅Χ763==3ΑΧ7∆3∆7?≅?∆;Φ∆3=3ΑΑ3Χ755:;≅
Α7ΧΦ?=Φ?9≅Α7Χ;≅6≅6;Ε7>Α≅+;Χ3Χ7Ε7?7?6≅∆≅=Ε3?Ε≅
=3∆Α;?3
%≅?3∆5≅=Ε3Χ7=3>Φ∆;533Γ≅=Φ>77557∆∆;Γ≅∋ΦΘ63?
?799;3Χ7=Φ6;Ε≅;?>≅6≅Α7Χ>3?7?Ε7
%≅?3ΑΑ≅ΧΕ3Χ7>≅6;8;5:73=∆;∆Ε7>3≅39=;3557∆∆≅Χ;
∃≅6;8;5:7?≅?3ΦΕ≅Χ;ΚΚ3Ε7Α≅∆∆≅?≅ΑΧ79;Φ6;53Χ7=3∆;5Φ
Χ7ΚΚ3;=Χ;∆Α7ΕΕ≅6;6;Χ7ΕΕ;Γ77=3Α≅Ε7?Κ367=∆;∆Ε7>3
Γ;Ε3Χ7Α7Χ;5≅=;ΑΧ≅Γ≅53Ε;63;?57?6;≅∆53Χ;5:77=7ΕΕΧ;
5:7?≅?∆≅ΓΧ3553Χ;53?6≅=7ΑΧ7∆77Γ7?ΕΦ3=;ΑΧ≅=Φ?9:7
7ΑΧ7∆7;?Ε79Χ3Ε7?7==3ΑΑ3Χ755:;≅
,Ε;=;ΚΚ3Χ7Φ?3∆≅Χ97?Ε76;7=7ΕΕΧ;5;ΕΜ5≅ΧΧ7ΕΕ3≅==793Χ7
;=ΑΧ≅6≅ΕΕ≅3Φ?3∆≅Χ97?Ε76;7=7ΕΕΧ;5;ΕΜ5≅ΧΧ7ΕΕ35≅>7
67∆5Χ;ΕΕ≅?7==7;∆ΕΧΦΚ;≅?;6Φ∆≅7;?6;53Ε≅∆Φ=ΑΧ≅6≅ΕΕ≅
∆Ε7∆∆≅
(Φ7∆Ε≅3ΑΑ3Χ755:;≅?≅?Ο67∆Ε;?3Ε≅37∆∆7Χ7ΦΕ;=;ΚΚ3Ε≅
63Α7Χ∆≅?7;?5=Φ∆;43>4;?;5≅?53Α35;ΕΜ8;∆;5:7∆7?
∆≅Χ;3=;≅Α∆;5:;5:7=;>;Ε3Ε7≅ΑΧ;Γ76;7∆Α7Χ;7?Κ37≅67=
=7?757∆∆3Χ;75≅?≅∆57?Κ73>7?≅5:7∆;3?≅∆≅ΧΓ79=;3
Ε763Φ?3Α7Χ∆≅?3Χ7∆Α≅?∆34;=767==3=≅Χ≅∆;5ΦΧ7ΚΚ3
≅ΑΑΦΧ77∆∆7Χ;57Γ3?≅63Ε3=7Α7Χ∆≅?3;∆ΕΧΦΚ;≅?;∆Φ==Φ∆≅
67==3ΑΑ3Χ755:;≅
∀43>4;?;Γ3??≅∆≅ΧΓ79=;3Ε;Α7Χ93Χ3?Ε;Χ75:7?≅?9;≅
5:;?≅5≅?=3ΑΑ3Χ755:;≅
ΖΓ;7Ε3Ε≅7887ΕΕΦ3Χ7>≅6;8;5:73==3ΑΑ3Χ755:;≅
=;3ΑΑ3Χ755:;≅63??799;3Ε;≅9=;3557∆∆≅Χ;63??799;3Ε;
?≅?67Γ≅?≅Α;Ρ7∆∆7Χ7ΦΕ;=;ΚΚ3Ε;
38&
#7Ε;5:7ΕΕ35≅?=367?≅>;?3Κ;≅?767=ΑΧ≅6≅ΕΕ≅∆;ΕΧ≅Γ3
∆Φ=Χ7ΕΧ≅67==3ΑΑ3Χ755:;≅
(Φ7∆Ε≅ΑΧ≅6≅ΕΕ≅?≅?Ο363ΕΕ≅367∆∆7Χ7ΦΕ;=;ΚΚ3Ε≅3==3
Α7ΧΕ≅∋7ΧΕ3?Ε≅Φ∆3Χ=≅∆≅=≅3==;?Ε7Χ?≅6;76;8;5;?≅?∆Φ
53Χ3Γ3?43Χ5:7≅;?3>4;7?Ε;3?3=≅9:;
∋7ΧΒΦ7∆Ε≅ΑΧ≅6≅ΕΕ≅67Γ77∆∆7Χ7ΦΕ;=;ΚΚ3Ε≅7∆5=Φ∆;Γ3
>7?Ε7=3=;>7?Ε3Ε≅Χ7;?6≅Ε3Κ;≅?7
%≅Ε7∆Φ==Φ∆≅

∀73)∗00∗∋&88∗6.∗
+7?7Χ7=743ΕΕ7Χ;78Φ≅Χ;63==3Α≅ΧΕ3Ε367;43>4;?;5:7
Α≅ΕΧ7447Χ≅>7ΕΕ7Χ=7;?4≅5537;?9:;≅ΕΕ;Χ=7Χ;Α≅ΧΕ3?6≅∆7
Χ;63??;6;∆3=ΦΕ7∀?Ε3=53∆≅5≅?∆Φ=Ε3Χ7∆Φ4;Ε≅Φ?>76;
5≅
#743ΕΕ7Χ;7?≅Χ>3=;?≅?67Γ≅?≅7∆∆7Χ7Χ;53Χ;53Ε7Χ;
∆53=63Ε7≅97ΕΕ3Ε7?7=8Φ≅5≅4∗6.(303).∗74037.32∗
∗7=343ΕΕ7Χ;3?≅?Ο;?∆7Χ;Ε35≅ΧΧ7ΕΕ3>7?Ε77∆;∆Ε7;=4∗
6.(303).∗74037.32∗
∗≅∆Ε;ΕΦ;Χ7ΒΦ3?6≅?757∆∆3Χ;≅=743ΕΕ7Χ;75:7∆;∆Ε3??≅
7∆3ΦΧ7?6≅
∗≅∆Ε;ΕΦ;Χ7∆7>ΑΧ7ΕΦΕΕ7=743ΕΕ7Χ;7;?∆;7>77ΦΕ;=;ΚΚ3Χ7
∆7>ΑΧ743ΕΕ7Χ;767==≅∆Ε7∆∆≅Ε;Α≅
%≅?57Χ53Χ76;Χ;53Χ;53Χ7=343ΕΕ7Χ;33ΑΧ;Χ=3∆53=63Χ=33
Α;Ρ6;Σ≅4ΧΦ5;3Χ=3
∗>3=Ε;Χ7;>>76;3Ε3>7?Ε7=743ΕΕ7Χ;7Φ∆3Ε7∗≅∆Ε;ΕΦ;Χ7=7
43ΕΕ7Χ;7∆≅=≅5≅?3=ΕΧ767==≅∆Ε7∆∆≅Ε;Α≅75≅?;=?Φ>7Χ≅
6;>≅67==≅5≅ΧΧ7ΕΕ≅
88∗2<.32∗
#743ΕΕ7Χ;763??799;3Ε7≅635Φ;∆;38Φ≅Χ;Φ∆5;Ε≅67==;
ΒΦ;6≅Α≅∆∆≅?≅ΑΧ≅Γ≅53Χ7Φ∆Ε;≅?;5:;>;5:73=5≅?Ε3ΕΕ≅
5≅?=3Α7==7∀?ΒΦ7∆Ε≅53∆≅Φ∆3Χ79Φ3?Ε;ΑΧ≅Ε7ΕΕ;Γ;367
9Φ3Ε;∋Φ=;Χ7=≅∆5≅>Α3ΧΕ≅43ΕΕ7Χ;75≅?Φ?Α3??≅3∆5;ΦΕ
Ε≅
2+361&<.32..14368&28.4∗60371&08.1∗283
#743ΕΕ7Χ;7Α≅∆∆≅?≅5≅?Ε7?7Χ7∆≅∆Ε3?Ε7?≅5;Γ75:763??79
9;3?≅=3∆3=ΦΕ77=3>4;7?Ε7
∀=ΑΧ≅6≅ΕΕ≅5≅?Ε;7?743ΕΕ7Χ;75:7∆≅?≅∆≅997ΕΕ73==36;Χ7ΕΕ;Γ3
7ΦΧ≅Α73%≅?67Γ≅?≅7∆∆7Χ7∆>3=Ε;Ε75≅?;?≅Χ>3=;
Χ;8;ΦΕ;6≅>7∆Ε;5;
∀?8≅Χ>3Ε7Γ;∆Φ==7?≅Χ>7=≅53=;Χ7=3Ε;Γ73==≅∆>3=Ε;>7?Ε≅∆7Α3Χ3Ε≅
67==743ΕΕ7Χ;7Α7Χ5:Ν9Χ3Κ;73==≅∆>3=Ε;>7?Ε≅5≅ΧΧ7ΕΕ≅∆;7Γ;Ε3?≅
Α≅∆∆;4;=;5≅?∆79Φ7?Κ7?793Ε;Γ7∆Φ==3>4;7?Ε77
∆Φ==7Α7Χ∆≅?7
(Φ7∆Ε≅∆;>4≅=≅ΟΑΧ7∆7?Ε7∆Φ==743ΕΕ7Χ;75≅?Ε7
?7?Ε;∆≅∆Ε3?Κ7?≅5;Γ7
%≅Ε7∆Φ==Φ∆≅

278&00&<.32∗)∗00&44&6∗((−.3
≅==≅53Χ7=3ΑΑ3Χ755:;≅∆ΦΦ?8≅?6≅∆Ε34;=7∆;5ΦΧ≅7
≅Χ;ΚΚ≅?Ε3=7∋Χ≅ΓΓ767Χ73Φ?34Φ≅?337Χ3Κ;≅?7
%≅?Α≅∆3Χ7>3;=3ΑΑ3Χ755:;≅∆Φ∆ΦΑ7Χ8;5;>≅Χ4;67
5≅>7Ε3ΑΑ7Ε;5≅Α7ΧΕ7≅;?ΑΧ≅∆∆;>;ΕΜ6;Ε7?677366≅4
4;63Α3Χ7Ε7#73Α7ΧΕΦΧ76;37Χ3Κ;≅?7Α≅ΕΧ7447Χ≅Χ;>3
?7Χ75≅Α7ΧΕ7∗;Χ;∆5:;36;;?Ε7ΧΧ≅>Α7Χ7=35;Χ5≅=3Κ;≅?7
63Χ;3?757∆∆3Χ;3(Φ7∆Ε≅Α≅ΕΧ7447ΑΧ≅Γ≅53Χ7=;?57?6;≅
67==3ΑΑ3Χ755:;≅
#787∆∆ΦΧ7637Χ3Κ;≅?767Γ≅?≅∆7>ΑΧ7Χ;>3?7Χ7∆5≅
Α7ΧΕ7%≅?67Γ≅?≅Γ7?;Χ7≅55=Φ∆763Ε7?675≅Α7ΧΕ7≅
9;≅Χ?3=;
%≅?5≅==≅53Χ7=Ψ3ΑΑ3Χ755:;≅Γ;5;?≅38≅?Ε;6;53=≅Χ75≅
>7367∆7>Α;≅;Χ36;3Ε≅Χ;Γ;Ε3Χ7;Χ399;∆≅=3Χ;6;Χ7ΕΕ;7;
=Φ≅9:;5≅?Α≅=Γ7Χ77557∆∆;Γ3
∋Χ7∆Ε3Χ73ΕΕ7?Κ;≅?7Α7Χ5:Ν;?67Ε7Χ>;?3Ε75;Χ5≅∆Ε3?Κ7
;Α;76;?;67==3ΑΑ3Χ755:;≅Α≅ΕΧ7447Χ≅=3∆5;3Χ7;>ΑΧ≅?Ε7
5≅=≅Χ3Ε7∆Φ57ΧΕ7∆ΦΑ7Χ8;5;6;>≅4;=;,∆3Χ7Φ?3ΑΧ≅Ε7
Κ;≅?7ΕΧ3;>≅4;=;7=3ΑΑ3Χ755:;≅
∀=Α≅∆Ε≅≅Γ75≅==≅53Χ7=3ΑΑ3Χ755:;≅?≅?67Γ77∆∆7Χ7
∆57=Ε≅;?3>4;7?Ε;3Φ>;6;ΕΜ7=7Γ3Ε3367∆5Φ5;?7≅
∆3Φ?7Α7Χ5:Ν=38≅Χ>3Κ;≅?76;35ΒΦ36;5≅?67?∆3ΑΦΘ
ΑΧ≅Γ≅53Χ763??;3==3ΑΑ3Χ755:;≅#3ΑΑ3Χ755:;≅Ο67∆Ε;
?3Ε≅3==Φ∆≅;?3>4;7?Ε73∆5;ΦΕΕ≅75≅?5=;>3>;Ε77?≅?
67Γ77∆∆7Χ77∆Α≅∆Ε≅39≅55;≅=3>7?Ε;≅∆ΑΧΦΚΚ;635ΒΦ3
ΦΧ3?Ε7=ΦΕ;=;ΚΚ≅=3ΑΑ3Χ755:;≅67Γ77∆∆7Χ7∆7>ΑΧ7;?
Α≅∆;Κ;≅?7≅Χ;ΚΚ≅?Ε3=7
+7?7Χ=≅=≅?Ε3?≅639=;3ΑΑ3Χ755:;5:7ΑΧ≅6Φ5≅?≅8≅ΧΕ;
53>Α;>39?7Ε;5;
∗7∆;Φ∆3?≅=3>Α3673Χ;∆Α3Χ>;≅6;7?7Χ9;3?7==7;>
>76;3Ε7Γ;5;?3?Κ7;=8Φ?Κ;≅?3>7?Ε≅67==3ΑΑ3Χ755:;≅
ΑΦΘΧ;∆Φ=Ε3Χ75≅>ΑΧ≅>7∆∆≅
%≅?Α≅∆3Χ7≅997ΕΕ;Α7∆3?Ε;∆Φ==3ΑΑ3Χ755:;≅
(Φ3?6≅∆;∆Α≅∆Ε3=3ΑΑ3Χ755:;≅63Φ?3>4;7?Ε78Χ766≅
3Φ?≅53=6≅ΟΑ≅∆∆;4;=75:73=∆Φ≅;?Ε7Χ?≅∆;8≅Χ>;67==3
5≅?67?∆3∀?ΒΦ7∆Ε≅53∆≅3ΕΕ7?67Χ75;Χ53Φ?≅Χ3ΑΧ;>3
6;>7ΕΕ7Χ7;?8Φ?Κ;≅?7=3ΑΑ3Χ755:;≅
557ΧΕ3Χ∆;5:7;=53Γ≅6;3=;>7?Ε3Κ;≅?7≅=3∆Α;?3∆;3?≅
∆7>ΑΧ7835;=>7?Ε73557∆∆;4;=;;?>≅6≅63Α≅Ε7Χ∆Ε3553
Χ7Χ3Α;63>7?Ε7=3ΑΑ3Χ755:;≅63==3=;>7?Ε3Κ;≅?77=7ΕΕΧ;
53∋≅∆3Χ7;=53Γ≅6;3=;>7?Ε3Κ;≅?7;?>≅6≅637Γ;Ε3Χ7
5:7ΒΦ3=5Φ?≅∆;;?5;3>Α;
#3ΑΧ7∆367Γ7ΕΧ≅Γ3Χ∆;;=Α;ΡΑ≅∆∆;4;=7Γ;5;?≅3==3ΑΑ3Χ75
5:;≅
∋7Χ;=5≅==793>7?Ε≅3==3Χ7Ε77=7ΕΕΧ;53;?∆7Χ;Χ75≅>Α=7
Ε3>7?Ε7=3∆Α;?3?7==3ΑΧ7∆3
,Ε;=;ΚΚ3Χ7Φ?3==355;3>7?Ε≅3==3Χ7Ε7363ΕΕ≅7835;=>7?Ε7
3557∆∆;4;=77?≅?Φ∆3Χ7ΑΧ7∆7>Φ=Ε;Α=7
%≅?3887ΧΧ3Χ7=3=;>7?Ε3Ε≅Χ7≅=3∆Α;?36;Χ7Ε75≅?=7
>3?;439?3Ε7Α7Χ;5≅=≅6;∆5≅∆∆37=7ΕΕΧ;53
%≅Ε7∆Φ==Φ∆≅

∀?53∆≅6;3?≅>3=;7≅8≅Χ>3Κ;≅?76;8Φ>≅7≅6≅Χ;
?7==;?Γ≅=Φ5Χ≅∆Ε3553Χ7∆Φ4;Ε≅=3∆Α;?363==3ΑΧ7∆3
∋Χ;>36;Φ?Ε7>Α≅Χ3=7∆Ε3553Χ7=3∆Α;?36;Χ7Ε763==3
ΑΧ7∆3
∗7=3ΑΑ3Χ755:;≅?≅?Γ;7?7Φ∆3Ε≅Α7Χ=Φ?9≅Ε7>Α≅36
7∆7>Α;≅?7=53∆≅6;Φ?=Φ?9≅Γ;399;≅7∆ΕΧ3ΧΧ7=3∆Α;?3
6;Χ7Ε763==3ΑΧ7∆3
,?Γ≅=Φ>7ΕΧ≅ΑΑ≅3=Ε≅;?Α3ΧΕ;5≅=3Χ7∆7∆;Φ∆3?≅=7
5Φ88;7ΑΦΘΑΧ≅Γ≅53Χ763??;3==Φ6;Ε≅
∀8.0.<<3(32+361∗&00&)∗78.2&<.32∗)973
#3ΑΑ3Χ755:;≅Ο5≅?57Α;Ε≅5≅>7∆Ε3Κ;≅?76≅5<;?9Α7Χ=3
Χ;ΑΧ≅6ΦΚ;≅?76;>Φ∆;536;;∋:≅?7;∋≅6≅3=ΕΧ;3ΑΑ3Χ755:;
7∆Ε7Χ?;5≅==793Ε;
ΖΦ?3ΑΑ3Χ755:;≅6;7=7ΕΕΧ≅?;536;?ΕΧ3ΕΕ7?;>7?Ε≅7Γ7
7∆∆7Χ7Φ∆3Ε≅7∆5=Φ∆;Γ3>7?Ε7Α7Χ∆5≅Α;ΑΧ;Γ3Ε;?≅?;?
6Φ∆ΕΧ;3=;?Ν5≅>>7Χ5;3=;
7∆5Χ;Κ;≅?767==3ΑΑ3Χ755:;≅

∗7(6.<.32∗)∗00&44&6∗((−.3
328∗2983)∗00&(32+∗<.32∗
557ΧΕ3Χ∆;5:7∆;3?≅ΑΧ7∆7?Ε;ΕΦΕΕ;9=;3557∆∆≅Χ;6;∆79Φ;Ε≅
7=7?53Ε;
∆;∆Ε7>33Φ6;≅3Ε≅ΧΧ7
Ε7=75≅>3?6≅
3=;>7?Ε3Ε≅Χ73∆Α;?3
Α;3∆ΕΧ343∆7;?5=Φ∆7Γ;Ε;Α7Χ;=>≅?Ε399;≅
;=ΑΧ7∆7?Ε7>3?Φ3=76Φ∆≅
6∗4&6&<.32∗)∗00&44&6∗((−.3
46.1&)∗00&1∗77&.2+92<.32∗
31∗1328&6∗0&4.&786&∋&7∗
! ≅==793Χ7=3Α;3∆ΕΧ343∆73==3Ε≅ΧΧ75≅?;=∆7Ε;?6≅Ε3
Κ;≅?7
! ∋≅∆3Χ75≅?53ΦΕ7=3;=∆;∆Ε7>3∆Φ==3Ε≅
38&
∋≅∆3Χ=≅∆≅ΑΧ3Φ?35≅Α7ΧΕ35≅∆Π5:7=3∆53Ε≅=3?≅?∆;
9Χ388;
! ∃≅?Ε3Χ7=3Α;3∆ΕΧ343∆75≅?=7Γ;Ε;3==3Α3ΧΕ7;?87Χ;≅Χ7
67=∆;∆Ε7>3
! ≅?ΕΧ≅==3Χ7∆Φ557∆∆;Γ3>7?Ε7=3∆Ε34;=;ΕΜ
∋Χ7Α3Χ3Κ;≅?767==3ΑΑ3Χ755:;≅ΑΧ;>367==3>7∆∆3;?8Φ?Κ;≅?7

31∗(300∗,&6∗0&0.1∗28&836∗
≅==793Χ7=3ΑΑ3Χ755:;≅3==3Χ7Ε77=7ΕΕΧ;535≅?=3ΑΑ≅∆;Ε≅
3=;>7?Ε3Ε≅Χ73∆Α;?3−Λ!Κ
! ∋7Χ5≅==793Χ7=3ΑΑ3Χ755:;≅3==3Χ7Ε77=7ΕΕΧ;53Α7Χ
ΑΧ;>35≅∆3;?∆7Χ;Χ7;=53Γ≅67==3=;>7?Ε3Ε≅Χ7?7==3
ΑΧ7∆367==3ΑΑ3Χ755:;≅7∆Φ557∆∆;Γ3>7?
Ε7=3∆Α;?367==3=;>7?Ε3Ε≅Χ7?7==3ΑΧ7∆37=7ΕΕΧ;53
! ∋Χ;>36;5≅==793Χ7;=53Γ≅3==3ΑΧ7∆33∆∆;5ΦΧ3Χ∆;5:7
=3Ε7?∆;≅?767∆7Χ5;Κ;≅67==3=;>7?Ε3Ε≅Χ75≅ΧΧ;∆Α≅?63
3==3Ε7?∆;≅?76;Χ7Ε7=≅53=7
38&
,∆3Χ7∆≅=≅=3=;>7?Ε3Ε≅Χ73∆Α;?38≅Χ?;Ε≅;?6≅Ε3Κ;≅?7
∀?53∆≅6;?≅?ΦΕ;=;ΚΚ≅7∆ΕΧ3ΧΧ7=3∆Α;?363==3ΑΧ7∆3+;Χ3
Χ7Ε7?7?6≅=3∆Α;?37?≅?;=53Γ≅∗Ε3553Χ7=3∆Α;?3ΑΧ;
>36;Φ?Ε7>Α≅Χ3=7∗7=3ΑΑ3Χ755:;≅?≅?Γ;7?7Φ∆3Ε≅
Α7Χ=Φ?9≅Ε7>Α≅367∆7>Α;≅?7=53∆≅6;Φ?=Φ?9≅Γ;39
9;≅7∆ΕΧ3ΧΧ7=3∆Α;?3
∋7Χ7=;>;?3Χ7;=53=≅Χ75:7∆;∆Γ;=ΦΑΑ36ΦΧ3?Ε7;=8Φ?Κ;≅
?3>7?Ε≅67Γ77∆∆7Χ793Χ3?Ε;Ε3Φ?3∆Φ88;5;7?Ε737Χ3Κ;≅
?7∋7ΧΕ3?Ε≅?≅?5≅ΑΧ;Χ7=3ΑΑ3Χ755:;≅7?≅?5≅==≅53Χ=≅
;?Φ?3Χ>36;≅5:;Φ∆≅#3∆5;3Χ7Φ?≅∆Α3Κ;≅=;47Χ≅6;3=
>7?≅5>;?Ε≅Χ?≅3==3ΑΑ3Χ755:;≅
27∗6.1∗283)∗00&∋&88∗6.&2∗08∗0∗(3
1&2)3
∋7Χ;=8Φ?Κ;≅?3>7?Ε≅67=Ε7=75≅>3?6≅Ο?757∆∆3Χ;3Φ?3
43ΕΕ7Χ;36;Ε;Α≅)−9;Μ;?∆7Χ;Ε3
! );>Φ≅Γ7Χ7=3∆ΕΧ;∆5;36;Α=3∆Ε;535≅>7Χ388;9ΦΧ3Ε≅
∗7;=Ε7=75≅>3?6≅?≅?6≅Γ7∆∆7Α;ΡΧ739;Χ73;5≅>3?6;
∆≅∆Ε;ΕΦ;Χ7=343ΕΕ7Χ;334≅ΕΕ≅?7∋Χ≅5767Χ7?7=∆79Φ7?Ε7
>≅6≅
! 3Α≅Γ≅=97Χ7;=Ε7=75≅>3?6≅7Ε≅9=;7Χ7;=Α≅ΧΕ343ΕΕ7
Χ;363=Ε7=75≅>3?6≅
! ∋Χ7>7Χ7=3=7Γ3Γ7Χ∆≅=;?Ε7Χ?≅;?6;Χ7Κ;≅?767==3
8Χ755;3
∋Χ7Α3Χ3Κ;≅?767==3ΑΑ3Χ755:;≅ΑΧ;>367==3>7∆∆3;?8Φ?Κ;≅?7

! +;Χ3Χ78Φ≅Χ;ΒΦ;?6;;=Α≅ΧΕ343ΕΕ7Χ;363=Ε7=75≅>3?6≅
767∆ΕΧ3Χ=≅
! ∀?∆7Χ;Χ7Φ?343ΕΕ7Χ;36;Ε;Α≅)−∋Χ7∆Ε3Χ7
3ΕΕ7?Κ;≅?73==3Α≅=3Χ;ΕΜ5≅ΧΧ7ΕΕ3∀=Α≅=≅Α≅∆;Ε;Γ≅67Γ7
7∆∆7Χ7Χ;Γ≅=Ε≅Γ7Χ∆≅=3=Ε≅5≅>7Χ388;9ΦΧ3Ε≅?7=Ε7=7
5≅>3?6≅53Α≅Γ≅=Ε≅
! );5:;Φ67Χ7355ΦΧ3Ε3>7?Ε7=≅∆5≅>Α3ΧΕ≅43ΕΕ7Χ;3;?
>≅6≅5:7=3=7Γ367=Α≅ΧΕ343ΕΕ7Χ;3∆;;??7∆Ε;
38&
∗7;=Ε7=75≅>3?6≅?≅?Γ;7?7Φ∆3Ε≅Α7Χ>≅=Ε≅Ε7>Α≅Ο
≅ΑΑ≅ΧΕΦ?≅7∆ΕΧ3ΧΧ7=343ΕΕ7Χ;3;Γ7Χ∆3>7?Ε7;=Ε7=75≅
>3?6≅ΑΦΘ63??799;3Χ∆;353Φ∆367==38Φ≅Χ;Φ∆5;Ε367=
=;ΒΦ;6≅63==343ΕΕ7Χ;3
(Φ3?6≅∆;5≅>3?63=3ΑΑ3Χ755:;≅5≅?;=Ε7=75≅>3?6≅
≅55≅ΧΧ7Χ;∆Α7ΕΕ3Χ7=7∆79Φ7?Ε;Χ79≅=7
! ∋Φ?Ε3Χ7;=Ε7=75≅>3?6≅ΕΧ3∆>7ΕΕ;Ε≅Χ7Γ7Χ∆≅;=Χ;57Γ;
Ε≅Χ7∆Φ==3ΑΑ3Χ755:;≅(Φ7∆Ε≅∆;ΕΧ≅Γ3Γ;5;?≅3=6;∆
Α=3ϑ
! +Χ3;=ΕΧ3∆>7ΕΕ;Ε≅Χ77;=Χ;57Γ;Ε≅Χ7?≅?67Γ≅?≅7∆∆7Χ5;
≅997ΕΕ;5:7Α≅∆∆3?≅≅∆Ε35≅=3Χ7=3Χ;57Κ;≅?7
∗7Α7Χ83Χ8Φ?Κ;≅?3Χ7;=Ε7=75≅>3?6≅6;Γ7?Ε3?757∆∆3Χ;≅
3ΓΓ;5;?3Χ∆;ΕΧ≅ΑΑ≅3==3ΑΑ3Χ755:;≅Ο≅ΑΑ≅ΧΕΦ?≅∆≅∆Ε;ΕΦ;Χ7
=743ΕΕ7Χ;7
31∗(300∗,&6∗0.3).−32∗
! +≅9=;7Χ7=;∋≅6=;∋:≅?763==;?Γ≅=Φ5Χ≅ΑΧ≅Ε7ΕΕ;Γ≅≅
63==35Φ∆Ε≅6;37;?∆7Χ;Χ=≅5≅?53ΦΕ7=3?7==3∆Ε3Κ;≅?7
6≅5<;?9
! −7Χ;8;53Χ75:7=;∋≅6;∋:≅?7∆;35≅ΧΧ7ΕΕ3>7?Ε7;?∆7Χ;
Ε≅?7==3∆Ε3Κ;≅?76≅5<;?9%≅?Α;793Χ7≅;?5=;?3Χ7=;
∋≅6;∋:≅?7>7?ΕΧ7Ο;?∆7Χ;Ε≅?7==3∆Ε3Κ;≅?76≅5<;?9
;ΘΑ≅ΕΧ7447;?83ΕΕ;63??799;3Χ7=3∆Ε3Κ;≅?76≅5<;?9
≅=;∋≅6;∋:≅?7
! ∋7ΧΧ;>Φ≅Γ7Χ7=;∋≅6;∋:≅?7∆≅==7Γ3Χ=≅5≅?53ΦΕ7=3
767∆ΕΧ3Χ=≅
38&
∗76ΦΧ3?Ε7=3Χ;ΑΧ≅6ΦΚ;≅?76;>Φ∆;5363Φ?;∋:≅?75≅==7
93Ε≅3ΧΧ;Γ3Φ?3Ε7=78≅?3Ε3=3ΑΑ3Χ755:;≅3ΧΧ7∆Ε3=3Χ;ΑΧ≅
6ΦΚ;≅?77∆;∆7?Ε7=≅∆ΒΦ;==≅
31∗(&6.(&6∗0∗∋&88∗6.∗)∗00.3)
%≅?3ΑΑ7?3=;∋≅6Ο∆Ε3Ε≅5≅==793Ε≅=343ΕΕ7Χ;3Γ;7?7
53Χ;53Ε3∆7Ο46∗7∗28∗Φ?35≅??7∆∆;≅?73==3Χ7Ε77=7ΕΕΧ;
53
38&
∗7∆;Φ∆3?≅Φ?;∋≅6≅Φ?3=ΕΧ≅=7ΕΕ≅Χ7∃∋5:7232
Γ;7?75≅==793Ε≅3ΕΕΧ3Γ7Χ∆≅=36≅5<;?9∆Ε3Ε;≅??≅?3ΓΓ;7?7
3=5Φ?3Χ;53Χ;533ΦΕ≅>3Ε;5367==743ΕΕ7Χ;7
∋Χ7Α3Χ3Κ;≅?767==3ΑΑ3Χ755:;≅ΑΧ;>367==3>7∆∆3;?8Φ?Κ;≅?7

300∗,&1∗283).92&+328∗&9).3∗78∗6
2&
ΖΑ≅∆∆;4;=7Χ;ΑΧ≅6ΦΧΧ7;=∆Φ≅?≅6;Φ?3ΑΑ3Χ755:;≅7∆Ε7Χ?≅
367∆3ΑΑ3Χ755:;≅+−=7ΕΕ≅Χ7−=7ΕΕ≅Χ7∃∋3ΕΕΧ3
Γ7Χ∆≅9=;3=Ε≅Α3Χ=3?Ε;67==3ΑΑ3Χ755:;≅Ε3=7∆5≅Α≅∆;
ΑΦΘΦΕ;=;ΚΚ3Χ7=3ΑΧ7∆3,∀&∀%≅#∀%∀%
! ≅==793Χ7;=53Γ≅67==Φ∆5;Ε33Φ6;≅67==3ΑΑ3Χ755:;≅
7∆Ε7Χ?≅3==3
ΑΧ7∆3,∀&∀%Ι)ΑΧ7∆35;?5:36
7∆67==;>Α;3?Ε≅∆Ε7Χ7≅≅67==35≅?∆≅==79;≅5:;≅Α
ΑΦΧ7Φ?
53Γ≅3Φ6;≅5≅?∆Α;?≅ΕΕ≅63>>3#∀%∀%
367∆=7ΕΕ≅Χ7∃∋
! ≅?
∗&,)∆7=7Κ;≅?3Χ7;=>≅6≅≅Α7Χ3Ε;Γ≅
−≅#∀%
! )79≅=3Χ7;=Γ≅=Φ>7∆Φ==Ψ3ΑΑ3Χ755:;≅5≅==793Ε≅75≅?;
Ε3∆Ε;ς−&#
! ΓΓ;3Χ7=3Χ;ΑΧ≅6ΦΚ;≅?7∆Φ==Ψ3ΑΑ3Χ755:;≅7∆Ε7Χ?≅
31∗1.,0.36&6∗0&6.(∗<.32∗)∗00&2
8∗22&
∀=?Φ>7Χ≅7=3ΒΦ3=;ΕΜ67==7∆Ε3Κ;≅?;5:7∆;Χ;57Γ≅?≅6;
Α7?6763==75≅?6;Κ;≅?;6;Χ;57Κ;≅?767==Φ≅9≅;?5Φ;∆;
ΕΧ≅Γ3=3ΑΑ3Χ755:;≅≅?=Ψ3?Ε7??338;=≅∃%+ΟΑ≅∆
∆;4;=7≅ΕΕ7?7Χ7Φ?34Φ≅?3Χ;57Κ;≅?7
! #3?Ε7??367Γ77∆∆7Χ77∆ΕΧ3ΕΕ35≅>Α=7Ε3>7?Ε77
≅Χ;7?Ε3Ε33=>79=;≅
.463)9<.32∗).:.)∗3
! ≅==793Χ7=3ΑΑ3Χ755:;≅3=ΑΧ≅ΑΧ;≅Ε7=7Γ;∆≅Χ7ΕΧ3>;Ε7
=3ΑΧ7∆3−∀&&,+Ε3=8;?7Ο?757∆∆3Χ;≅Φ?
53Γ≅5;?5:5:7?≅?Ο;?5=Φ∆≅?7==35≅?87Κ;≅?7
! ∀>Α≅∆Ε3Χ7=;?9Χ7∆∆≅67=Ε7=7Γ;∆≅Χ7−∀%∋,+∆Φ
Γ;67≅≅−∗Γ767Χ7;∆ΕΧΦΚ;≅?;6Φ∆≅67=+−
! ≅?
∗&,)∆579=;7Χ7;=>≅6≅≅Α7Χ3Ε;Γ≅
;∋≅6ΓΓ;3Χ7=3Χ;ΑΧ≅6ΦΚ;≅?7Γ;67≅∆Φ==Ψ;∋:≅?7≅;
∋≅65≅==793Ε;
38&
ΖΑ≅∆∆;4;=73?5:7Χ;ΑΧ≅6ΦΧΧ7Γ;67≅367∆63=ΑΧ≅ΑΧ;≅
=7ΕΕ≅Χ7−≅63==3ΑΧ≅ΑΧ;3Γ;67≅53>7Χ3Ε3=8;?75≅=
=793Χ7=Ψ3ΑΑ3Χ755:;≅7∆Ε7Χ?≅3==3ΑΧ7∆3−∀&∀%
Ε3=8;?7Ο?757∆∆3Χ;≅Φ?53Γ≅5;?5:5:7?≅?Ο;?5=Φ∆≅
?7==35≅?87Κ;≅?7
! ≅?
∗&,)∆579=;7Χ7;=>≅6≅≅Α7Χ3Ε;Γ≅
−−∀&∀%
! ΓΓ;3Χ7=3Χ;ΑΧ≅6ΦΚ;≅?7Γ;67≅∆Φ==3ΑΑ3Χ755:;≅5≅==7
93Ε≅
,Ε;=;ΚΚ≅67==3ΑΑ3Χ755:;≅

∀8.0.<<3)∗00&44&6∗((−.3
38&
#3ΑΑ3Χ755:;≅∆;ΑΦΘ5≅>3?63Χ75≅?;Ε3∆Ε;∆Φ==3ΑΑ3Χ75
5:;≅∆Ε7∆∆≅75≅?;=Ε7=75≅>3?6≅∀67?Ε;53∆5Χ;ΕΕ3∆;9?;8;53
;67?Ε;538Φ?Κ;≅?7
((∗27.32∗∗74∗,2.1∗283)∗00&44&
6∗((−.3
! 557?67Χ7=3ΑΑ3Χ755:;≅5≅?
∗&,)
! ∋7Χ∆Α79?7Χ7=3ΑΑ3Χ755:;≅ΑΧ7>7Χ7;?>≅6≅ΑΧ≅
=Φ?93Ε≅;=Ε3∆Ε≅
∗&,)#3ΑΑ3Χ755:;≅∆;
ΕΧ≅Γ3;?∆Ε3?64ϑ
ΖΑ≅∆∆;4;=73557?67Χ77∆Α79?7Χ7=3ΑΑ3Χ755:;≅3?5:7
5≅?;=Ε3∆Ε≅
67=Ε7=75≅>3?6≅
31∗.14378&6∗0&736,∗28∗
! ≅?;=Ε3∆Ε≅ ∗&,)≅∗&,)Α3∆
∆3Χ73;∋≅6)∀&,/#∀%
31∗6∗,30&6∗.0:3091∗
! ∋Χ7>7Χ7;Ε3∆Ε;ς−&#≅Α7ΧΧ79≅=3Χ7;=
Γ≅=Φ>767∆;67Χ3Ε≅
31∗97&6∗&086.40&;∗6
ΖΑ≅∆∆;4;=7Χ;ΑΧ≅6ΦΧΧ7ΒΦ3=∆;3∆;3=ΕΧ38≅?Ε7>Φ∆;53=7>7
6;3?Ε7=3ΑΧ7∆3#∀%∀%3?5:7Φ?;∋≅6∆Φ5Φ;?≅?Ο
∆Ε3Ε≅7887ΕΕΦ3Ε≅;=6≅5<;?9≅?∗&,)∆579=;7
Χ7;=>≅6≅≅Α7Χ3Ε;Γ≅#∀%
38&
∗7;∆;Φ∆3?≅;∋≅6≅3=ΕΧ;∃∋Α=3ϑ7Χ5:7?≅?Γ7?9≅?≅
5≅==793Ε;3ΕΕΧ3Γ7Χ∆≅=36≅5<;?9∆Ε3Ε;≅??≅?3ΓΓ;7?73=5Φ
?353Χ;533ΦΕ≅>3Ε;5367==743ΕΕ7Χ;7
31∗6∗,30&6∗.079323
! ∋Χ7>7Χ7;Ε3∆Ε;ς∗∗67=Ε7=75≅>3?6≅Α7Χ
Χ79≅=3Χ7;Ε≅?;
! ∋Χ7>7Χ7;Ε3∆Ε;ς+)#Α7ΧΧ79≅=3Χ7;Ε≅?;
3=Ε;∀?ΒΦ7∆Ε≅>≅6≅ΟΑ≅∆∆;4;=7363ΕΕ3Χ7=3Χ;ΑΧ≅6Φ
Κ;≅?7;?8Φ?Κ;≅?767=97?7Χ76;>Φ∆;535:7∆;∆Ε33
∆5≅=Ε3?6≅
,Ε;=;ΚΚ≅67==3ΑΑ3Χ755:;≅

31∗&88.:&6∗0&<<∗6&1∗283)∗0:3091∗
ΖΑ≅∆∆;4;=76;∆3ΕΕ;Γ3Χ79=;3=Ε≅Α3Χ=3?Ε;ΑΧ7>7?6≅;=Ε3∆Ε≅
∃,+∗Φ=6;∆Α=3ϑ=3>Α799;3=;?6;53Κ;≅?767=Γ≅
=Φ>7∀=Γ≅=Φ>7∆;Χ;ΑΧ;∆Ε;?3ΑΧ7>7?6≅?Φ≅Γ3>7?Ε7;=
Ε3∆Ε≅∃,+
31∗.14378&6∗1&29&01∗28∗036&
!
∀?∗+%03ΑΑ3Χ755:;≅∆Α7?Ε≅5≅?Χ7Ε77=7ΕΕΧ;53
5≅==793Ε3ΑΧ7>7Χ7;=Ε3∆Ε≅+∀∃Α7Χ5;Χ53∆7
5≅?6;#;?6;53Κ;≅?767==≅Χ3=3>Α799;3∀?3=Ε7Χ?3Ε;
Γ3ΑΧ7>7Χ7;=Ε3∆Ε≅#∆Φ==3ΑΑ3Χ755:;≅Α7Χ∆7
5≅?6;
! ∀>Α≅∆Ε3Χ75≅?""##ΑΧ;>3=7≅Χ7Α≅;;
>;?ΦΕ;75≅?87Χ>3Χ7≅9?;Γ≅=Ε35≅?+∀∃∀?3=
Ε7Χ?3Ε;Γ3#∆Φ==3ΑΑ3Χ755:;≅
#Ψ≅Χ3Ο;>Α≅∆Ε3Ε37;?;Κ;3;=5≅?Ε799;≅?7=8≅Χ>3Ε≅:
#≅Χ3Γ;7?7Γ;∆Φ3=;ΚΚ3Ε3;?∆Ε3?64ϑ
38&
∗7?7==3>≅63=;ΕΜ6;;>Α≅∆Ε3Κ;≅?7?≅?Γ;7?7ΑΧ7>ΦΕ≅
3=5Φ?Ε3∆Ε≅Α7Χ∆75≅?6;=3>≅63=;ΕΜΕ7Χ>;?33ΦΕ≅>3
Ε;53>7?Ε7∆7?Κ33=5Φ?∆3=Γ3Ε399;≅
∆79Φ;Ε≅6;Φ?;?Ε7ΧΧΦΚ;≅?76;5≅ΧΧ7?Ε7Ο?757∆∆3Χ;≅
;>Α≅∆Ε3Χ7?Φ≅Γ3>7?Ε7=≅Χ3
31∗98.0.<<&6∗0&+92<.32∗ 0∗∗4
ΖΑ≅∆∆;4;=7;>Α≅∆Ε3Χ7=Ψ;?Ε7ΧΓ3==≅6;Ε7>Α≅6;
>;?ΦΕ;6≅Α≅;=ΒΦ3=7=3ΑΑ3Χ755:;≅;?ΒΦ3=∆;3∆;>≅6≅
≅Α7Χ3Ε;Γ≅Α3∆∆3;?∆Ε3?64ϑ∗Φ=6;∆Α=3ϑΓ;7?7Γ;∆Φ3=;ΚΚ3Ε≅
Ω∗#∋Ξ
! ∋7Χ=;>Α≅∆Ε3Κ;≅?7ΑΧ7>7Χ7Χ;Α7ΕΦΕ3>7?Ε7;=Ε3∆Ε≅
∗#∋
≅>7ΦΕ;=;ΚΚ3Χ7=3Χ36;≅

31∗98.0.<<&6∗0&6&).3
38&
#3ΑΑ3Χ755:;≅Χ;57Γ7∆Φ==38Χ7ΒΦ7?Κ3
∃ς∃!Κ
! ≅?∗&,)∆579=;7Χ7=38≅?Ε7)∀&
! (Φ3?6≅∆;;>Α≅∆Ε3∃ΟΑ≅∆∆;4;=77∆ΕΧ3ΧΧ75≅>Α=7
Ε3>7?Ε7=3?Ε7??38;=3Χ7≅Χ;7?Ε3?6≅=3Α7Χ>;9=;≅Χ3Χ7
=3Χ;57Κ;≅?7
31∗.14378&6∗92&78&<.32∗
∗0∗<.32∗1&29&0∗)∗00&78&<.32∗∗1.88∗28∗
! ∋Χ7>7?6≅4Χ7Γ7>7?Ε7;Ε3∆Ε;""##≅
Γ;7?79Χ36Φ3=>7?Ε7>≅6;8;53Ε3=38Χ7ΒΦ7?Κ36;
Χ;57Κ;≅?7Γ7Χ∆≅=Ψ3=Ε≅≅Γ7Χ∆≅;=43∆∆≅%7==343?63
∃∆;ΑΧ≅57673Α3∆∆;6;∃!Κ∀?ΒΦ7∆Ε≅>≅6≅
∆;Χ;7∆5≅?≅3∆;?Ε≅?;ΚΚ3Χ73?5:77>;ΕΕ7?Ε;674≅=;6;
5Φ;∆;5≅?≅∆57=38Χ7ΒΦ7?Κ3
#;?6;53Ε≅Χ767==38Χ7ΒΦ7?Κ3∆Φ=6;∆Α=3ϑ>≅∆ΕΧ3=38Χ7
ΒΦ7?Κ3;>Α≅∆Ε3Ε3
.(∗6(&6&4.)&∗1.88∗28.
! #3ΑΧ7∆∆;≅?7ΑΧ≅=Φ?93Ε367;Ε3∆Ε;""##
53∆75≅?6;3ΓΓ;3=3Χ;57Χ53#3Χ;57Χ533ΦΕ≅>3Ε;
53Χ;=7Γ3∆≅=≅=77>;ΕΕ7?Ε;5≅?∆79?3=78≅ΧΕ7#77>;Ε
Ε7?Ε;5≅?∆79?3=7674≅=7Α≅∆∆≅?≅7∆∆7Χ7;>Α≅∆Ε3Ε7
∆≅=≅>3?Φ3=>7?Ε7
! );ΑΧ7>7?6≅;Ε3∆Ε;""##53∆75≅?
6;=3Χ;57Χ535≅?Ε;?Φ3%7=5≅Χ∆≅67==3Χ;57Χ533ΦΕ≅
>3Ε;53=3Φ6;≅67==3Χ36;≅Γ;7?76;∆3ΕΕ;Γ3Ε≅
31∗1∗136.<<&6∗0∗78&<.32.∗1.8
8∗28.
#3ΑΑ3Χ755:;≅ΑΦΘ>7>≅Χ;ΚΚ3Χ78;?≅37>;ΕΕ7?Ε;Χ36;≅
∃
38&
∀?53∆≅6;4=35<≅ΦΕ7=7ΕΕΧ;5≅=77>;ΕΕ7?Ε;>7>≅Χ;ΚΚ3Ε7
Χ;>3?9≅?≅Ε3=;
! %7==3>≅63=;ΕΜ+,%)Χ36;≅;>Α≅∆Ε3Χ7=3∆Ε3Κ;≅?7
67∆;67Χ3Ε35≅?;Ε3∆Ε;""##
! ∋Χ7>7Χ7;=Ε3∆Ε≅∃∃
≅>7ΦΕ;=;ΚΚ3Χ7=3Χ36;≅

! ≅?;=Ε3∆Ε≅$∃%,%∆7=7Κ;≅?3Χ7Φ?
Α≅∆Ε≅6;>7>≅Χ;3∆7?757∆∆3Χ;≅ΑΧ7>7Χ7Χ;Α7ΕΦΕ3
>7?Ε7;=Ε3∆Ε≅
! ≅?;=Ε3∆Ε≅∃∃>7>≅Χ;ΚΚ3Χ7=3∆Ε3Κ;≅?7;>
Α≅∆Ε3Ε3?7=Α≅∆Ε≅6;>7>≅Χ;3
38&
∗7Α7Χ53∆75≅?6;?≅?Γ;7?7ΑΧ7>ΦΕ≅?7∆∆Φ?Ε3∆Ε≅=3
>≅63=;ΕΜ∋Χ≅9Χ3>>3Γ;7?73??Φ==3Ε3
! ∋7Χ>7>≅Χ;ΚΚ3Χ7Φ=Ε7Χ;≅Χ;7>;ΕΕ7?Ε;Χ;Α7Ε7Χ7;=ΑΧ≅57
6;>7?Ε≅∆≅ΑΧ367∆5Χ;ΕΕ≅
∗0∗<.32∗)∗00∗78&<.32.463,6&11&8∗
! ∋Χ7>7Χ7;=Ε3∆Ε≅$∃%,%Α7Χ∆5≅ΧΧ7Χ7;?
3Γ3?Ε;≅;?6;7ΕΧ≅;Α≅∆Ε;6;>7>≅Χ;3>7>≅Χ;ΚΚ3Ε;
∗Φ=6;∆Α=3ϑΓ;7?7∆7>ΑΧ7Γ;∆Φ3=;ΚΚ3Ε≅;=53?3=7;>Α≅∆Ε3
Ε≅
&2(∗00&6∗92&437.<.32∗).463,6&11&
! ΖΑ≅∆∆;4;=77=;>;?3Χ7=3>7>≅Χ;ΚΚ3Κ;≅?76;Φ?Α≅∆Ε≅
6;>7>≅Χ;3>7>≅Χ;ΚΚ3?6≅Φ?3?Φ≅Γ37>;ΕΕ7?Ε7∆Φ=
Α≅∆Ε≅6;>7>≅Χ;3;?≅997ΕΕ≅
4∗,2.1∗283)∗00&44&6∗((−.3
! ∋7Χ∆Α79?7Χ7=3ΑΑ3Χ755:;≅
ΑΧ7>7Χ7∀=6;∆
Α=3ϑ∆;∆Α79?77Γ;7?7>≅∆ΕΧ3Ε3=≅Χ3
≅>7ΦΕ;=;ΚΚ3Χ7=;∋≅6;∋:≅?7

31∗98.0.<<&6∗0.3).−32∗
((∗27.32∗
! 557?67Χ7=3ΑΑ3Χ755:;≅5≅?;=Ε3∆Ε≅

! ≅==793Χ7=;∋:≅?7;∋≅6
! ∋Χ7>7Χ7Χ;Α7ΕΦΕ3>7?Ε7;=Ε3∆Ε≅
∗&,)Α7Χ
Α3∆∆3Χ73==38≅?Ε7.3)
! ∋Χ7>7Χ7;=Ε3∆Ε≅#Α7Χ;?;Κ;3Χ7=3Χ;ΑΧ≅6ΦΚ;≅?7
! ∋Χ7>7Χ7;=Ε3∆Ε≅#Α7Χ;?Ε7ΧΧ≅>Α7Χ7=3Χ;ΑΧ≅
6ΦΚ;≅?7
∗0∗<.32∗)∗.∋6&2.6.(∗6(&&9831&8.(&
! ∋Χ7>7Χ74Χ7Γ7>7?Ε7;Ε3∆Ε;""##Α7Χ
∆3=Ε3Χ73=4Χ3?≅∆Φ557∆∆;Γ≅ΑΧ75767?Ε7
! ∋Χ7>7Χ7;Ε3∆Ε;""##7Ε7?7Χ=;ΑΧ7>ΦΕ;
Α7Χ3ΓΓ;3Χ7=3Χ;57Χ533ΦΕ≅>3Ε;53Χ3Α;63
4∗,2.1∗283
! ∋Χ7>7Χ7;=Ε3∆Ε≅ #3ΑΑ3Χ755:;≅;?Ε7ΧΧ≅>Α7=3
Χ;ΑΧ≅6ΦΚ;≅?77=;∋≅6Γ3;?∗+%0
! ∀?3=Ε7Χ?3Ε;Γ3ΑΧ7>7Χ7;=Ε3∆Ε≅
∗&,);?
>≅6≅ΑΧ≅=Φ?93Ε≅
! (Φ3?6≅=Ψ;∋≅6Ο;?∆7Χ;Ε≅=743ΕΕ7Χ;7Γ7?9≅?≅53Χ;53
Ε7∆70&44&6∗((−.3>&((∗73
31∗6.463)966∗:.)∗3)..−32∗.3)
! ≅==793Χ7Φ?53Γ≅Γ;67≅3==Φ∆5;Ε3−∀&&,+
! ≅==793Χ7;=53Γ≅Γ;67≅3=6;∆Α=3ϑ+−
! ΓΓ;3Χ7=3Χ;ΑΧ≅6ΦΚ;≅?7∆Φ;∋:≅?7;∋≅6
31∗98.0.<<&6∗0.3)0.−32∗1∗
).&28∗.01∗29
≅?;∆79Φ7?Ε;Ε3∆Ε;ΟΑ≅∆∆;4;=797∆Ε;Χ775≅>3?63Χ7
=Ψ;∋≅6≅=;∋:≅?75≅==793Ε≅
#ΓΓ;≅Χ;ΑΧ≅6ΦΚ;≅?7Α3Φ∆3
""##4Χ3?≅ΑΧ75767?Ε7∆Φ557∆∆;Γ≅;?6;7ΕΧ≅
Χ3Α;6≅3Γ3?Ε;
4∗6896&1∗29
∃%,;∋&3Α7ΧΕΦΧ3>7?Φ;∋≅6;∋:≅?7;?6;7ΕΧ≅?7=
>7?Φ
∃%, !?3Γ;93Κ;≅?7?7=>7?Φ
%+)5≅?87Χ>3Χ7=3∆7=7Κ;≅?73ΕΕ;Γ3Χ7=3Γ≅57∆7=7
Κ;≅?3Ε33ΑΧ;Χ7
#ΨΦ∆≅67;5≅>3?6;Ο3?3=≅9≅3ΒΦ3?Ε≅3ΓΓ;7?75≅?;Ε3∆Ε;
ΑΧ7∆7?Ε;∆Φ==Ψ;∋≅6==≅55≅ΧΧ7?Κ3=7997Χ7=7;∆ΕΧΦΚ;≅?;
6Φ∆≅67=ΑΧ≅ΑΧ;≅;∋≅6
=;>;?3Κ;≅?767==73?≅>3=;7

31∗490.6∗0&44&6∗((−.3
 (377&∗0∗886.(&
=8;?76;7Γ;Ε3Χ7;=Α7Χ;5≅=≅6;Φ?3∆5≅∆∆37=7ΕΕΧ;53?≅?
ΑΦ=;Χ7=3ΑΑ3Χ755:;≅5≅?Φ?Α3??≅Φ>;6≅≅5≅?=35ΒΦ3
5≅ΧΧ7?Ε7∗5≅==793Χ7=3ΑΧ7∆36;5≅ΧΧ7?Ε7ΑΧ;>36;ΑΧ≅57
67Χ73==3ΑΦ=;Κ;3
!!∃
%≅?Φ∆3Χ7∆ΑΦ9?734Χ3∆;Γ7Α≅=Γ7Χ734Χ3∆;Γ37∆≅=Γ7?Ε;
5≅>73=5≅=≅47?Κ;?3
∋Φ=;Χ7=35Φ∆Ε≅6;35≅?Φ?Α3??≅>≅Χ4;6≅;?Φ>;6;Ε≅5≅?
35ΒΦ3%≅?ΦΕ;=;ΚΚ3Χ7∆≅=Γ7?Ε;3=5≅=6;=Φ7?Ε;7∆;>;=;Α≅
ΕΧ7447Χ≅63??799;3Χ7=3∆ΦΑ7Χ8;5;767==3ΑΑ3Χ755:;≅
3298.0.<<&6∗&0(92&)∗00∗7∗,9∗28.7378&2<∗
35ΒΦ3∆3=3Ε3;?∆7ΕΕ;5;63∆≅=ΦΚ;≅?;343∆76;5=≅Χ≅≅35;6;
3>>≅?;353Α≅=Γ7Χ734Χ3∆;Γ3
! ∗ΕΧ≅8;?3Χ7=7997Χ>7?Ε7=3∆ΦΑ7Χ8;5;75≅?Φ?Α3??≅6;
5≅Ε≅?78;?5:Ν∆;35≅>Α=7Ε3>7?Ε73∆5;ΦΕΕ≅
0.1.2&<.32∗)∗00∗&231&0.∗
∗7=3ΑΑ3Χ755:;≅?≅?8Φ?Κ;≅?35≅>7ΑΧ7Γ;∆Ε≅7887ΕΕΦ3Χ7
Φ?3Γ7Χ;8;53∆79Φ7?6≅;∆Φ997Χ;>7?Ε;∆≅ΕΕ≅Χ;Α≅ΧΕ3Ε;
∗7?≅?∆;Χ;7∆57367=;>;?3Χ7=3?≅>3=;35≅>7∆≅ΑΧ3
;?6;53Ε≅5≅?Ε3ΕΕ3Χ7=353∆3ΑΧ≅6ΦΕΕΧ;57
63∋0∗1.(32.08∗0∗(31&2)3
231&0.& 377.∋.0∗(&97&6.1∗).3
∀=Ε7=75≅>3?6≅?≅?
8Φ?Κ;≅?3
3ΕΕ7Χ;3;?∆7Χ;Ε3>3=7≅ΒΦ3∆;7∆3ΦΧ;Ε3
−7Χ;8;53Χ7=3Α≅=3Χ;ΕΜ53>4;3Χ7=343ΕΕ7Χ;3
≅==793>7?Ε≅∀);?Ε7ΧΧ≅ΕΕ≅
==≅?Ε3?3Χ79=;≅997ΕΕ;5:7∆;ΕΧ≅Γ3?≅ΕΧ3;=
Ε7=75≅>3?6≅7=3ΑΑ3Χ755:;≅
;∆Ε3?Κ3ΕΧ≅ΑΑ≅7=7Γ3Ε3
;∆Ε3?Κ3>3∆∆;>363==3ΑΑ3Χ755:;≅
>7ΕΧ;
=;>;?3Κ;≅?767==73?≅>3=;7

63∋0∗1.(320&78&<.32∗)3(/.2,
.−32∗.3)
231&0.& 377.∋.0∗(&97&6.1∗).3
%≅?∆;Χ;7∆573
5≅==793Χ7=;∋:≅
?7;∋≅6
);>Φ≅Γ7Χ77Χ7;?∆7Χ;Χ7=;∋:≅?7;∋≅6
≅?ΕΧ≅==3Χ75:7?7==3∆Ε3Κ;≅?76≅5<;?9
?≅?5;∆;3?≅5≅ΧΑ;7∆ΕΧ3?7;
#;∋:≅?7;∋≅6?≅?
Γ;7?753Χ;53Ε≅
#;∋:≅?7;∋≅6?≅?Ο5≅==793Ε≅5≅ΧΧ7Ε
Ε3>7?Ε73==36≅5<;?9∆Ε3Ε;≅?∗7?757∆
∆3Χ;≅Χ;5≅==793Χ=≅≅?ΕΧ≅==3Χ75:7?7==7
ΑΧ7∆7?≅?5;∆;3?≅5≅ΧΑ;7∆ΕΧ3?7;∆7
?757∆∆3Χ;≅ΑΦ=;Χ7
#;∋:≅?7;∋≅6∆;ΕΧ≅Γ3;?>≅63=;ΕΜΩ=≅
5<76Ξ≅?ΕΧ≅==3Χ7∆7ΒΦ3?6≅?≅?Ο
;?∆7Χ;Ε≅?7==36≅5<;?9∆Ε3Ε;≅?=;∋:≅
?7;∋≅68Φ?Κ;≅?35≅ΧΧ7ΕΕ3>7?Ε7Γ7?
ΕΦ3=>7?Ε7=7997Χ7=7;∆ΕΧΦΚ;≅?;67=ΑΧ≅
6ΦΕΕ≅Χ7
%≅?∆;∆7?Ε73=5Φ?
∆Φ≅?≅
Φ>7?Ε3Χ7;=Γ≅=Φ>7
557?67Χ7=3Χ;ΑΧ≅6ΦΚ;≅?7∆Φ;∋:≅
?7;∋≅6
−7Χ;8;53Χ7;=≅5<
−7Χ;8;53Χ76;Φ∆3Χ7;=∆≅8ΕΗ3Χ7Α;ΡΧ757?
Ε7Α7Χ=;∋≅6;∋:≅?7
∋Χ7>7Χ7;=Ε3∆Ε≅;∋&
;∆3ΕΕ;Γ3Χ7=3ΚΚ7Χ3>7?Ε≅67=Γ≅=Φ>7
∃,+
63∋0∗1.(320&6&).3
231&0.& 377.∋.0∗(&97&6.1∗).3
%≅?∆;Χ;57Γ7?7∆∆Φ?3
∆Ε3Κ;≅?7Χ36;≅
#3ΑΑ3Χ755:;≅?≅?Ο?7==3>≅63=;ΕΜ
)36;≅
≅?∗&,)Α3∆∆3Χ73Χ36;≅
=ΕΧ;3ΑΑ3Χ755:;367∆;=Ε7=7Γ;∆≅Χ7
6;∆ΕΦΧ43?≅=3Χ;57Κ;≅?7
∋≅∆;Κ;≅?3Χ7=3Χ36;≅=≅?Ε3?≅63ΒΦ7∆Ε;
3ΑΑ3Χ755:;
∀=∆Φ≅?≅Ο674≅=7≅6;
53ΕΕ;Γ3ΒΦ3=;ΕΜ
#3?Ε7??3?≅?Ο7∆ΕΧ3ΕΕ3≅≅Χ;7?Ε3Ε3
∆ΕΧ3ΧΧ7=3?Ε7??3
=;>;?3Κ;≅?767==73?≅>3=;7

63∋0∗1.(320&44&6∗((−.3
231&0.& 377.∋.0∗(&97&6.1∗).3
#3ΑΑ3Χ755:;≅?≅?8Φ?
Κ;≅?3
#3ΑΑ3Χ755:;≅?≅?Ο3=;>7?Ε3Ε≅
63==35≅ΧΧ7?Ε7
≅==793Χ75≅ΧΧ7ΕΕ3>7?Ε7;=53Γ≅6;
Χ7Ε73==3ΑΧ7∆37=7ΕΕΧ;53
%≅?∆;∆7?Ε73=5Φ?∆Φ≅
?≅
Φ>7?Ε3Χ7;=Γ≅=Φ>767=∆;∆Ε7>3≅
67==;∋:≅?7;∋≅6≅67==38≅?Ε77
∆Ε7Χ?3ΓΓ;3Χ7=3Χ;ΑΧ≅6ΦΚ;≅?7
;∆3ΕΕ;Γ3Χ7=3ΚΚ7Χ3>7?Ε≅67=Γ≅=Φ
>7∃,+∋Χ7>7Χ7;=Ε3∆Ε≅
∗&,)
∗;∆7?Ε7Φ?8ΧΦ∆5;≅ %7;Α3Χ399;67==3ΑΑ3Χ755:;≅Φ?
3=ΕΧ≅3ΑΑ3Χ755:;≅;?Γ;3≅?67Χ36;≅
6;6;∆ΕΦΧ4≅
==≅?Ε3?3Χ7=3=ΕΧ≅3ΑΑ3Χ755:;≅63==7
Γ;5;?3?Κ767==3ΑΑ3Χ755:;≅
∗;Γ7Χ;8;53?≅3=ΕΧ73?≅
>3=;76;8Φ?Κ;≅?3>7?Ε≅
∆;Α7Χ57Α;∆5≅?≅8≅ΧΕ;
ΧΦ>≅Χ;;=∆;∆Ε7>3?≅?
Χ739;∆57
∀5≅>Α≅?7?Ε;7=7ΕΕΧ≅?;5;67==3ΑΑ3
Χ755:;≅∆≅?≅6;∆ΕΦΧ43Ε;
∆ΕΧ3ΧΧ7=3∆Α;?3#3∆5;3Χ7=3ΑΑ3
Χ755:;≅∆Ε3553Ε≅63==38≅?Ε76;7
?7Χ9;3Α7Χ53∆75≅?6;≅==793
Χ7?Φ≅Γ3>7?Ε7=3ΑΑ3Χ755:;≅
∀=6;∆Α=3ϑ?≅?∆;3557?67 ∗Α79?7Χ7=3ΑΑ3Χ755:;≅
∆ΕΧ3ΧΧ7=3∆Α;?37Χ7;?∆7Χ;Χ=335
57?67Χ7=3ΑΑ3Χ755:;≅
231&0.& 377.∋.0∗(&97&6.1∗).3
#35≅>>ΦΕ3Κ;≅?7ΕΧ3=7
8Φ?Κ;≅?;;∋≅6Χ36;≅ΦΙ
#;?7?≅?8Φ?Κ;≅?3
∗7?757∆∆3Χ;≅;>Α≅∆Ε3Χ7=Ψ≅Χ3
3Ε;Ε75?;5;

&8.8∗(2.(.
;>7?∆;≅?;3ΑΑ3Χ755:;≅
=3Χ9:7ΚΚ3Ι3=Ε7ΚΚ3Ι
ΑΧ≅8≅?6;ΕΜ
53>>Ι>>Ι>>
∋7∆≅∆7?Κ33=;>7?Ε3Ε≅Χ7 53<9
=;>7?Ε3Κ;≅?77=7ΕΕΧ;53
=;>7?Ε3Ε≅Χ7
7?ΕΧ3Ε3−5≅ΧΧ7?Ε73=Ε7Χ?3Ε3
!Κ
Φ∆5;Ε3−
∋≅Ε7?Κ3 Ι..∗Φ4Η≅≅87Χ.
∋Χ7∆3,/∀% ∆Α;?≅ΕΕ≅>>
ΑΧ7∆3)#∆Ε7Χ7≅;?5:
−;67≅&ΦΕ ∋Χ7∆3−∗;?5:
3ΕΕ7Χ;367=Ε7=75≅>3?6≅ )
≅?6;Κ;≅?;3>4;7?Ε3=; 63Σ3Σ
6;Φ>;6;ΕΜ67==3Χ;3Χ7=3Ε;Γ3
5:7?≅?5≅?67?∆3
≅>Α3Ε;4;=;ΕΜ ;=∆;∆Ε7>33Φ6;≅3Ε≅ΧΧ7Ο5≅>Α3Ε;4;=7
5≅?ΕΦΕΕ;;>≅67==;6;;∋:≅?77=3>39
9;≅ΧΑ3ΧΕ767;>≅67==;;∋≅6
≅?Χ;∆7ΧΓ36;>≅6;8;5:7Ε75?;5:7767ΧΧ≅Χ;
#76;>7?∆;≅?;∆≅?≅3ΑΑΧ≅∆∆;>3Ε;Γ7
.6∗88.:∗∗2361∗
(Φ7∆Ε≅ΑΧ≅6≅ΕΕ≅Ο5≅?8≅Χ>7
3==3;Χ7ΕΕ;Γ3∆Φ==343∆∆3Ε7?∆;≅?7

3==36;Χ7ΕΕ;Γ3∃73==3
6;Χ7ΕΕ;Γ3∆Φ==3>3Χ53ΕΦΧ3
;∋≅6;∋:≅?7ΟΦ?>3Χ5:;≅6;ΑΑ=7≅>ΑΦΕ7Χ∀?5
Χ79;∆ΕΧ3Ε≅?79=;∗Ε3Ε;,?;Ε;7;?3=ΕΧ;∋37∆;
Ω∃3678≅Χ;∋:≅?7;∋≅6Ξ∆;9?;8;535:7Φ?3557∆∆≅Χ;≅7=7ΕΕΧ≅?;5≅Ο∆Ε3Ε≅
ΑΧ≅97ΕΕ3Ε≅Α7Χ5≅==793Χ∆;;?>≅6≅∆Α75;8;5≅3;∋:≅?7;∋≅676Ο∆Ε3Ε≅
57ΧΕ;8;53Ε≅639=;∆Γ;=ΦΑΑ3Ε≅Χ;5≅>75≅?8≅Χ>73;Χ7ΒΦ;∆;Ε;∆Ε3?63Χ6Χ;5:;7
∆Ε;63ΑΑ=7
ΑΑ=7?≅?ΟΧ7∆Α≅?∆34;=767=8Φ?Κ;≅?3>7?Ε≅6;ΒΦ7∆Ε≅6;∆Α≅∆;Ε;Γ≅≅
67==3∆Φ35≅?8≅Χ>;ΕΜ39=;∆Ε3?63Χ66;∆;5ΦΧ7ΚΚ37?≅Χ>3Ε;Γ;
≅?Ε3ΕΕ≅67=ΑΧ≅6ΦΕΕ≅Χ7

328&883)∗0463)98836∗
  >4!
Χ3817ΑΑ7=;?∗ΕΧ3Τ7
#3?6∆47Χ9
ΗΗΗ6Φ3=67
2).(&<.32.4∗60371&08.1∗283
1&08.1∗283)∗00.1∋&00&,,.3
ΦΧ3?Ε7;=ΕΧ3∆Α≅ΧΕ≅;=Γ≅∆ΕΧ≅?Φ≅Γ≅3ΑΑ3Χ755:;≅Ο∆Ε3Ε≅
ΑΧ≅Ε7ΕΕ≅63==;>43==399;≅+ΦΕΕ;;>3Ε7Χ;3=;Φ∆3Ε;∆≅?≅75≅
=≅9;53>7?Ε75≅>Α3Ε;4;=;7Χ;ΦΕ;=;ΚΚ34;=;≅?ΕΧ;4Φ;Ε73?5:7
Γ≅;∆>3=Ε7?6≅=;>43==399;≅?7=Χ;∆Α7ΕΕ≅67==3>4;7?Ε7Ζ
Α≅∆∆;4;=7Χ7Α7Χ;Χ7;?8≅Χ>3Κ;≅?;∆Φ;∆;∆Ε7>;6;∆>3=Ε;>7?Ε≅
ΑΧ7∆∆≅;=Γ≅∆ΕΧ≅Χ;Γ7?6;Ε≅Χ7≅;=Γ≅∆ΕΧ≅57?ΕΧ≅6;∆>3=Ε;
>7?Ε≅5≅>Φ?3=7
∗6.(303).73++3(&1∗283
%≅?=3∆5;3Χ7=;>43==399;≅7Χ7=3Ε;Γ;5≅>Α≅?7?Ε;3;43>
4;?;
∆;∆Ε7;=Α7Χ;5≅=≅6;∆≅88≅53>7?Ε≅353Φ∆367==7Α7==;5≅=7
76;3=ΕΧ;>3Ε7Χ;3=;6;;>43==399;≅
1&08.1∗283)∗00&44&6∗((−.3
=;3ΑΑ3Χ755:;Γ755:;7ΒΦ;?6;8Φ≅Χ;∆7ΧΓ;Κ;≅?≅?∆≅?≅
Χ;8;ΦΕ;ΑΧ;Γ;6;Γ3=≅Χ7 Χ3Κ;73==≅∆>3=Ε;>7?Ε≅?7=Χ;∆Α7ΕΕ≅
67==Ψ3>4;7?Ε7ΟΑ≅∆∆;4;=7Χ75ΦΑ7Χ3Χ7>3Ε7Χ;7ΑΧ;>7ΦΕ;=;
∀?8≅Χ>3Χ∆;ΑΧ7∆∆≅=3ΑΧ≅ΑΧ;33>>;?;∆ΕΧ3Κ;≅?75;ΕΕ36;?3≅
5≅>Φ?3=75;Χ53=7≅ΑΑ≅ΧΕΦ?;ΕΜ6;∆>3=Ε;>7?Ε≅3679Φ3Ε≅
7675≅=≅9;5≅67==Ψ3ΑΑ3Χ755:;≅∋Χ;>367==≅∆>3=Ε;>7?Ε≅
67==3ΑΑ3Χ755:;≅Χ;>Φ≅Γ7Χ7=743ΕΕ7Χ;7
∗6.(303).1368∗
,?3Γ≅=Ε35:7=Ψ3ΑΑ3Χ755:;≅Ο8Φ≅Χ;∆7ΧΓ;Κ;≅7∆ΕΧ3ΧΧ7=3
∆Α;?367==35≅ΧΧ7?Ε77=7ΕΕΧ;53∆ΕΧ3ΧΧ7;=53Γ≅6;Χ7Ε77
Χ;>Φ≅Γ7Χ=≅;?∆;7>73==3∆Α;?3
9∗783&44&6∗((−.3>(3286&77∗,2&83.2(32+361.8=&00&
).6∗88.:&79.6.+.98.).&44&6∗((−.&896∗∗0∗886.
(−∗∗)∗0∗88632.(−∗
∀2&:308&8∗61.2&83.0793(.(03).:.8&59∗783463)3883232
)∗:∗∗77∗6∗71&08.8386&.2361&0.6.+.98.)31∗78.(.1&)∗:∗
∗77∗6∗(327∗,2&8346∗7739249283).6&((308&4∗6.06.(.(0&,
,.3).&44&6∗((−.∗0∗886.(.∗)∗0∗88632.(.07.1∋303790463)38
837901&29&0∗)≅97337900≅.1∋&00&,,.36.(−.&1&&8&0∗&74∗8
831&8∗6.&0.:&2236.(.(0&8..2∋&7∗&046346.37.1∋30332.0
6.98.0.<<3.06∗(94∗63)∗.1&8∗6.&0.3&086∗+361∗).6.(.(0&,,.3).
:∗((−.&44&6∗((−.7.(3286.∋9.7(∗.213)3)∗(.7.:3&00&463
8∗<.32∗)∗0237863&1∋.∗28∗
… 68 …


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