Maxwell Davies SEA ELEGY

Page 1

OnDemand

Maxwell Davies, Peter Sea Elegy

Score for sale (North America): http://www.halleonard.com/product/viewproduct.do?itemid=14021035&lid=0 Score for sale (UK, Europe and other territories): http://www.musicroom.com/se/ID_No/00080272/details.html?kbid=1296 Information about work and materials for hire: http://www.musicsalesclassical.com/composer/work/11073

Chester Music Limited Part of the Music Sales Group



Peter Maxwell Davies SEA ELEGY for S.A.T.B. soli, chorus and orchestra

words by

George Mackay Brown

CHESTER MUSIC (a part of the Music Sales Group) 8/9 Frith Street, London, W1D 3JB tel: +44 (0)20 7434 0066 fax: +44 (0)20 7287 6329 Exclusive distributor: Music Sales Ltd, Newmarket Road, Bury St Edmunds, Suffolk, IP33 3YB tel: +44 (0)1284 702600 fax: +44 (0)1284 702592 web: www.chesternovello.com e-mail: music@musicsales.co.uk


THE SEA Four Elegies THE SEA The word “sea” is small and easily uttered. They utter it lightly who know least about it. A vast ancient terror is locked in the name Like energy in an atom. Sailors, explorers, fishermen know this. Women who stand on headlands, they know it. The maritime tribes knew it well. Their artists strove at harp and loom To cover the terror with beautiful names. The sea is the Great Sweet Mother. She is the Swan’s Path. She is the Whale’s Acre. She is the Garden of White Roses. She is the Keeper of Horses. (The Loom also, the Harp with a thousand voices.) She is the Giver of Salt and Pearls. The Vikings, her closest children, hated the sea. She summoned them, twice a year, from plough and lovebed. They called her, with cold mouths, the Widow Maker.

THE DOOR OF WATER Think of death, how it has many doors. A child enters the Dove Door And leaves a small wonderment behind him. For soldiers and airmen there is the Door of Fire. Most of us, with inadequate heart or lung or artery Disappear through the simple Door of the Skull. There is the Door of the Sheaf: the granary is beyond. The very old enter, stooping, Harvesters under a load of tranquil sorrows. For islanders, the Door of Water. Beyond a lintel carved with beautiful names The sea yields to the bone, at last, a meaning.

THE LOST One stumbled on a grey hill, very steep. One drank deeply, and found himself at a carousal of angels. One whispered in the secretest cell of salt. One (young) exchanged many untasted Aprils for a brief ecstasy. One who had turned hundreds from the door of the Salt Mother knocked on her window that night, alone. One wrote “amen” on a spindrift page. Were they offered for all seareft – piracy, pain of fish, the black and gold cargoes? A storm-ripened one went swiftly that March among Sea-scythes, flails, winnowings. After the third wave, the sea-querns had him. The Atlantic was veined all summer with slow pure glitters.


A DROWNING I am the unborn who go my ways at once to the dark door: to drowning, rot, fire, the choked heart, the choked brain, the choked bowel, the stroke of God: but one door is ajar always for the people who live in islands. I am the child among sand and rockpools. I am the boy who lays two lobsters on a poor threshold. I am the young man who comes out of the storm, a ghost with a red mouth. I am the father whose sperm tastes of the sea. Should an old man weary the people at last with legends of shipwreck? The waters opened last night. I entered. The grey door shut behind me. George Mackay Brown

The words by George Mackay Brown are set to music and reproduced by permission of John Murray (Publishers) Ltd.


This work was commissioned by the Scottish Chamber Orchestra to celebrate its 25th anniversary. The first performance was given on 3rd December 1998 at Queen’s Hall, Edinburgh, by Lisa Tyrrell (soprano), Margaret McDonald (mezzo-soprano), Neil Mackie (tenor) and David WilsonJohnson (baritone), the Scottish Chamber Orchestra Chorus (chorus-master Ben Parry) and the Scottish Chamber Orchestra, conducted by Peter Maxwell Davies.

SCORING S.A.T.B. soli S.A.T.B. chorus 2 flutes (1st doubling piccolo, 2nd doubling piccolo and alto flute) 2 oboes Clarinet in B flat Bass clarinet in B flat 2 bassoons (2nd doubling contrabassoon) 2 horns in F 2 trumpets in C 2 trombones Timpani (including one very large drum, lowest note and 2 fixed pitch piccolo drums* )

Strings *Alternatively, tom-toms may be used.

Duration: c. 15 minutes Vocal score on sale: Order No. CH 61504 Study score on sale: Order No. CH 66253 Conductor’s score and orchestral parts on hire

Further information on the works of Peter Maxwell Davies is available on the MaxOpus web site: www.maxopus.com/


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

                   

   

  

 



0

 

 

0

   0

  

  

QDPH

/LNH

  

 

      VHD ¬   s    

    

r     

/LNH

VHD

VHD

 

H H



QHU

  QHU









 

H

QHU

H

QHU





*

 



   

*

 



J\



LQ

DQ

LQ

DQ

 

J\



*

*

    

     D WRP

 

 



 

 



















 



     

DUFR XQLV

0

XQLV 0

 

0



D WRP *

0

 

D WRP

 

 



D WRP



 

*    





DQ



*



LQ

 

 *    



J\

 

*

  



   *      



   

 









    



*



 

9OF



      

  

 

 

   

DQ

 

  



 

LQ



9OD

/*



*

J\







  

9OQ ,,

  s  

/LNH

/*



*

/LNH

VHD

 

 

QDPH

r    



0

  

QDPH





    

/*

                       /* 0                       

    

' %



      

6

  

6ROR 6

6ROR %

 

                 

*



   7KH *

    *

7KH

   *

7KH

    7KH      *    

 





*

   *    



*

 

 


2E &O

% &O

7SW

7EQ

r    

& 

  

 s  

r             0             s   0

    















 







 

 

 

      *       *

00

/0

6ROR 6

   

   

6ROR $

   

   

6ROR 7

    ¬

   

6ROR %

  

   

6

$

7

%

r          

VHD WKH VHD

VHD WKH VHD

         ¬ VHD WKH VHD VHD WKH

VHD

9OQ ,,

   

9OD

  

' %

6DL /0

6DL

/0

WKH

6DL

    

ORUV H[

0

WKH

ORUV H[ 0

SOR

ORUV H[

SOR

    0

    ORUV H[

SL]]

        *

WKH

VHD

00

VHD **

00

VHD **

00

VHD

0

   

   

   

     

UHUV

UHUV

UHUV

UHUV

IL VKHU PHQ NQRZ

IL VKHU PHQ NQRZ

IL VKHU PHQ NQRZ

IL VKHU PHQ NQRZ

0

0

 

      

 

    

 

 

   

WKLV

:R

WKLV

:R

WKLV

:R

   

WKLV

:R

     **

**

0

PHQ ZKR VWDQG

PHQ ZKR VWDQG





 

 

 













0

/0

PHQ ZKR VWDQG

                                    

PHQ ZKR VWDQG



0

GLY   

 



 

 

0

         





00

00

RQ

RQ

RQ

RQ

  XQLV                  





&                                  

SL]]                s *

SOR

00

     

WKH

SOR

     

           s  

9OF

/0

0

**                 

r    

9OQ ,

6DL

**       

00



         



 

 

0


)O 2E

r   

    

&O



% &O







 





      



 





 



    

      0





 

  

  

  

 

%VQ

  



 

  

 

&EVQ

 s 



 

  

 



  

  

6ROR 6

   

6ROR $

    

6ROR 7

    ¬ KHDG

6ROR %

   

9OQ ,

9OQ ,,

KHDG

KHDG

KHDG

  

  

  

 

         

 

  

 

       

 

  



 

 

  

ODQGV WKH\ NQRZ

ODQGV WKH\ NQRZ

ODQGV WKH\ NQRZ

ODQGV WKH\ NQRZ

   

LW

LW

LW

LW

7KH

7KH

7KH

PD UL WLPH WULEHV

PD UL WLPH WULEHV

PD UL WLPH WULEHV

  

7KH

GLY

              

0

GLY                0

9OF

                     

0

NQHZ

NQHZ

NQHZ

     

LW ZHOO

LW ZHOO

LW ZHOO

LW ZHOO

        

7KHLU

DU

   

7KHLU

DU

   

7KHLU

 

7KHLU

DU

 

 

 

WLVWV

VWURYH

DW

 

WLVWV

VWURYH

DW



 

WLVWV

VWURYH

DW



 

VWURYH

DW

    

 



  

    

 



WLVWV

 

DU



 

  

0

DUFR

   s 

NQHZ

 

 

                                        

 

  

PD UL WLPH WULEHV

9OD

' %

0



r    



0

 

 



  

  

 

 

 

 SL]] 

  

  

 



0

 

 



 

 

 


)O &O

% &O %VQ

&EVQ +Q

r      

 

 



0

            

0

    s  

r 

         

 





 

   







7EQ

 s 





6ROR $

    

6ROR 7

    ¬ KDUS

6ROR %

   

6

KDUS KDUS

r   

DQG

ORRP



DQG

ORRP

DQG

ORRP

KDUS

        

7R

FR YHU WKH FR YHU WKH

DQG

ORRP

0

 

         *

           *

0









  



     

  



    

WHU URU ZLWK EHDX WL IXO QDPHV WKH **

VHD

WHU URU ZLWK EHDX WL IXO QDPHV WKH **

VHD

WHU URU ZLWK EHDX WL IXO QDPHV WKH **

VHD

7KH **

VHD

7KH **

VHD

7KH **

VHD

7KH

VHD

00

     

  



    



      

FR YHU WKH

7R



FR YHU WKH











 

 

0

00

 

7R

00



 

3*7

00

3*7

0

3*7

0

    

00

               





 

**

VHD

      ;   

7R



WHU URU ZLWK EHDX WL IXO QDPHV WKH **

             

    

  



0

**

**

     



     

      **  

  

   



  

7SW

6ROR 6



' 

     0

 

















0

    

 

LV WKH *UHDW 6ZHHW

0R WKHU 0

$

  





      

   

7

   ¬





       

    







      

    



 

' 

 



%

9OQ ,

9OQ ,, 9OD 9OF ' %

 s 

 r                           

 

 

         

   

 s  

 

 

     

DUFR

  



            



    

LV WKH *UHDW 6ZHHW

LV WKH *UHDW 6ZHHW

LV WKH *UHDW 6ZHHW

0R WKHU 0 0R WKHU









**

      ** 

0R WKHU 0

0

0














)O

2E

&O

% &O

 r     

   

 

     

   

 

*

*

  

 

     

* *

 

  

   

 

 

 

  

   

 

  

 



 



 

0

0

0 0

           

*

0

*

0

      

       0

       

0

 

     

  

    

 

     

  

    

  



   

  

 

    

/*

/*

/* /*

0

0

0 0

%VQ

   

 

 

 

  

 





&EVQ

 s  

   

 

  

 





   

+Q 7SW 7EQ

6

$

7

%

9OQ ,

9OQ ,,

r 

  

r      *

6KH *

    

6KH *



 

 





 

 





 



00

   

*

* SL]]

0

 

9OF

      

' %

 s  

  

DUFR GLY **

0

0

LV WKH :KDOH¶V

*

  $ *

 

 

 

   

 

6KH

6KH

6KH

 

LV WKH :KDOH¶V

LV WKH :KDOH¶V

LV WKH :KDOH¶V

0

 

*

 

 

         

   

SL]]

6KH

 

6ZDQ¶V 3DWK

 

0

9OD

*

LV WKH 6ZDQ¶V 3DWK

  

LV WKH 6ZDQ¶V 3DWK

XQLV

XQLV

0

LV WKH 6ZDQ¶V 3DWK

*

    

0

      s   r    

*



        ¬ 6KH LV WKH 6KH

0

00

    s  

0

*

00

     

0

 



$ *

$ *

$

        0

FUH 6KH

LV WKH

0

      

FUH 6KH

LV WKH

0

        

FUH 6KH 0

LV WKH

FUH 6KH

LV WKH

      

                 *





*

0

  

*DU GHQ RI :KLWH

/0

    

/*

 

/0



0

   

5R VHV 6KH

/*

0

  

 

   

  

 

  

  

 

  



  

  /*



    

  /*

0





*DU GHQ RI :KLWH

*DU GHQ RI :KLWH

*DU GHQ RI :KLWH

               0

5R VHV 6KH /* 0 5R VHV 6KH /* 0 5R VHV 6KH

0

 

 

  *

      

  

  /*

0

   

 

      

  

 







0

0



0



 

**

*





0

0

 

0

       **

/*

  

0

*

0

0


r ๏ ข๏ ถ ๏ ฆ๏ ข ๏ ข ๏ ธ

๏ ท

๏ ฒ๏ ด ๏

๏ ๏ ๏ ค ๏ ข๏ ๏ ๏ ด๏ ด ๏

2E

๏ ข ๏ ฆ ๏ ข ๏ ข ๏ ถ๏ ธ

๏ ท

๏ ฒ๏ ด

๏ ท

๏ ด๏ ด ๏ ฎ

๏ ๏ ค ๏ ๏ ช ๏ ถ๏ ธ ๏ ๏ ฎ๏ ๏ ฎ๏

&O

๏ ฆ ๏ ข ๏ ถ๏ ธ

๏ ท

๏ ฒ๏ ด ๏

๏ ค

๏ ช ๏ ด๏ ด ๏ ๏ ฃ๏ 0

๏ ค ๏ ช ๏ ถ๏ ธ ๏ ๏ ฃ๏ ๏ ๏

๏ ฒ๏ ด ๏

๏ ค ๏ ๏ ช ๏ ด๏ ด ๏ 0

๏ ค ๏ ๏ ช ๏ ถ๏ ธ ๏ ๏ ฃ๏ ๏

๏ ฃ๏

)O

% &O

+Q 7SW 7EQ

6

$

7

%

9OQ ,

9OQ ,,

s๏ ฆ r ๏ ฆ

๏ ข ๏ ถ๏ ธ

๏ ถ๏ ธ ๏ ฒ ๏ ข๏ ๏ ๏ ๏ ๏ ข๏ ข๏ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ด ๏ ข๏ ๏ ๏ ญ *

๏ ข๏ ข ๏ ถ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ฒ ๏ ญ๏ ๏ ๏ ข ๏ ฆ ๏ ธ ๏ ๏ ๏ ด *

๏ ฟ ๏ ข๏ ข ๏ ถ๏ ธ s ๏ ข

๏ ท

๏ ฒ๏ ด

r ๏ ข๏ ข ๏ ถ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ฒ ๏ ๏ ฆ ๏ ข๏ ธ ๏ ด **

LV WKH .HH SHU RI

๏ ข๏ ถ ๏ ๏ ๏ ๏ ๏ ฒ ๏ ฆ๏ ข ๏ ข ๏ ธ ๏ ๏ ๏ ด ๏ LV WKH .HH SHU RI

๏ ๏ ๏ ๏

๏ ฎ๏ ๏

0

9OD

9OF

๏ ฟ ๏ ข๏ ข ๏ ถ๏ ธ ๏ ข ๏ ฟ๏ ข๏ ถ ย s ๏ ข ๏ ข ๏ ธ ๏ บ๏ บ๏ ฎ๏ ฎ ๏ พ **

๏ ฒ๏ ด

๏ ท

๏ ฒ๏ ด

๏ ท

๏ ฒ๏ ด ๏ ฒ๏ ด

๏ ๏

๏ ถ๏ ธ

๏ ฃ๏

๏ ฒ๏ ด ๏ ๏ ฃ๏

๏ ถ๏ ธ

**

**

๏ ฒ๏ ด ๏

๏ ถ๏ ธ

**

๏ ญ๏ ๏ ๏

๏ ค ๏ ด๏ ด

๏ ท

๏ ถ๏ ธ

๏ ท

๏ ฒ๏ ด

๏ ท

๏ ถ๏ ธ

๏ ท

๏ ด๏ ด

๏ ท

๏ ถ๏ ธ

๏ ท

๏ ฒ๏ ด

๏ ฒ๏ ด ๏ ฎ๏

0

๏ ๏ ด ๏ ๏ ด

๏ ๏ ฎ๏ ๏ ค ๏ ๏ ถ ๏ ๏ ๏ ธ

ZLWK

๏ ๏ ๏ ค ๏ ๏ ช ๏ ถ๏ ธ ๏

/RRP DO VR

0

๏ ๏ ข๏ ๏ ด๏ ด ๏

/RRP DO VR

0

0

๏ ๏ ด ๏ ๏ ด

WKH

WKH

+DUS

+DUS

๏ ท

๏ ด๏ ด

๏ ท

๏ ด๏ ด

๏ ท

๏ ด๏ ด

ย ย ย ๏ ด ๏ ๏ ย ๏ ๏ ๏ ๏ ๏ ด ๏ ฎ ๏ ทย ย ๏ ท 00

๏ ๏ ฎ๏ ๏ ค ๏ ๏ ถ๏ ธ ๏ ๏

/RRP DO VR

๏ ด๏ ด

๏ ท

0

๏ ฒ๏ ด ๏ ฎ๏ ๏

๏ ถ๏ ธ

+RU VHV 7KH

๏ ท

๏ ๏

**

๏ ท

**

๏ ข ๏ ฆ ๏ ข ๏ ข ๏ ถ๏ ธ

๏ ๏

๏ ๏

๏ ถ๏ ธ

๏ ฒ๏ ด

**

๏ ฒ๏ ด

๏ ๏

๏ ท

๏ ฟ ๏ ข ๏ ถ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ฒ ๏ ๏ ฎ๏ ๏ ด s ๏ ข ๏ ข๏ ธ

๏ ท

๏ ฎ๏ ๏ ฒ๏ ด ๏

๏ ถ๏ ธ

๏ ข๏ ถ ๏ ช ๏ ถ ๏ ฒ ๏ ด ๏ ฆ ๏ ข ๏ ข ๏ ธ ๏ ๏ ๏ ข๏ ๏ ๏ ๏ ๏ ด ๏ ๏ ๏ ๏ ด ๏ ฎ๏ ๏ ๏ ๏ ค ๏ ๏ ธ ๏ ฎ๏ ยฌ LV WKH .HH SHU RI +RU VHV 7KH /RRP DO VR WKH +DUS

r ๏ ข๏ ถ ๏ ฆ๏ ข ๏ ข ๏ ธ

๏ ๏

๏ ๏

๏ ท

+RU VHV 7KH

LV WKH .HH SHU RI

๏ ฎ๏ ๏ ฎ๏

๏ ๏

๏ ช ๏ ค ๏ ด๏ ด ๏ ๏ ๏ ญ

+RU VHV 7KH **

๏ ๏ ข๏ ข๏ ข ๏ ถ๏ ธ

' %

๏ ท

0

๏ ช ๏ ๏ ๏ ฎ๏ ๏ ๏ ๏ ค ๏ ๏ ๏ ถ๏ ธ ๏

๏ ท ๏ ท

WKH

+DUS

๏ ฎ๏ D

WKRX

๏ ฎ๏

ZLWK

D

๏ ฎ๏

ZLWK

WKRX

D

ZLWK

WKRX

D

WKRX

VDQG

VDQG

๏ ฎ๏

VDQG

๏ VDQG

๏ ๏ บ ๏ ฎ ๏

00 **

๏ ถ๏ ธ

๏ ถ๏ ธ

๏ ฒ ๏ ๏ ฎ๏ ๏ ด

๏ ถ ๏ ธ

YRL FHV

**

๏ ฒ๏ ด ๏

YRL FHV

**

YRL FHV

๏ ฒ ๏ ด

**

YRL FHV

๏ ๏ ๏ ฎ๏ ๏ ๏ ฎ ๏ ๏ ๏ ๏ ฎ๏ ๏ ถ๏ ธ ๏ ฒ๏ ด ๏ ฎ๏ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ๏ ฎ ๏ ๏ ๏

๏ ถ๏ ธ

๏ ถ๏ ธ

**

0

๏ ข ๏ ๏ ๏ ฎ๏ ๏ ฎ ๏ ๏ ๏ ๏ ถ๏ ธ ๏ ฒ๏ ด ๏ ฎ๏ ๏ ๏ ๏ ๏ ๏ ๏ ฎ๏ ๏ ๏ ๏ ฎ ๏ ๏ ฎ๏ ๏ ๏ ๏ 0

๏ ท

๏ ถ๏ ธ ย ย ๏ ฎ๏

ย ย ๏

ย ๏ ย

๏ ท

๏ ถ๏ ธ DUFR ๏ ๏ ฎ๏ ย ย ย

๏ ย

DUFR 0

0

๏ ถ๏ ธ ย ๏ ฎ ๏ ๏ ย ๏ ฎ๏ ฎ

ย ย ๏

ย ๏ ย

ย ๏ ฎ๏ ย

๏ ย

๏ ย ย

๏ ย ย

ย ๏ ฎ๏ ๏ ย ๏ ฎ๏ ฎ

๏ ถ๏ ธ

**

๏ ฒ๏ ด ๏ **

๏ ฒ๏ ด

๏ ถ๏ ธ

๏ ๏ ฎ๏

**

JOLVV

๏ พ ๏ ๏ ฒ ๏ ๏ ๏ ด ย ย **

XQLV

๏ พ๏

๏ ถ ๏ ธ

๏ ฟ

๏ ถ๏ ธ ๏ ถ๏ ธ


)O 2E &O % &O %VQ &EVQ +Q 7SW 7EQ 7LPS

r    

 

      

                    

 s  

  

  

 

( 



 

 





 

 

)O WR $ )O





    

**

  r      *        *    s   *       **

 

0

  

   

  

       

 

      **

0

 

    

 



 

 

   

    

0

3* 0

**





      

**









 

 





00

6ROR $

   

 

 

   

6ROR 7

    ¬    

 

  

   

6ROR % 6 $ 7 %

9OQ ,

r          6KH

       

6KH

       ¬ 6KH     s  r    

6KH

LV

 WKH  *L     LV

WKH WKH

 RI  

WKH

RI

 

6DOW

 

6DOW

  

*L YHU

   LV

YHU

*L YHU

   LV

   

RI

 

*L YHU

RI

6DOW



6DOW

  DQG  

 





3HDUOV

 

DQG

3HDUOV





DQG

3HDUOV

 



DQG

3HDUOV

    



6ROR 6

7KH 00

9L NLQJV

7KH 00

9L NLQJV

7KH 00

9L NLQJV

7KH

9L NLQJV

    

 

    KHU

FOR VHVW

    KHU

KHU



FKLOG UHQ

FKLOG UHQ



FOR VHVW

 

;

FOR VHVW

    

FKLOG UHQ

FKLOG UHQ













 

(  

9OQ ,,

   





9OD

  

 

 

9OF

  



 

 s  



 

' %

VHH IRUHZRUG

GLY WUHP

     

00 GLY WUHP

      00

 

   

00

FOR VHVW

     KHU



  

  


)O &O

r         *

00

    

00



% &O



&EVQ

 s 

+Q

7EQ 7LPS 6ROR 6 6ROR $ 6ROR 7 6ROR % 6

$

7

%

9OQ , 9OQ ,, 9OD

9OF

' %

r 

00

00

     00

  

 s   

*

 

*

            

00

/*

KD WHG WKH

KD WHG WKH

KD WHG WKH 0

r             ¬

 s   r   

 

00 00

VHD /*

00

         ¬ KD WHG WKH VHD /*        

00

VHD /*

   

WKH 0

VHD /* VHD

VHD

 

 













 

 





 



 



 

 





000

0

000

  

00

0

VHD

  ¡ s  

000

 000

    

  

    













6KH

VXP PRQHG WKHP WZLFH D 0

\HDU

WZLFH D

\HDU

00

00



00

DQG

IURP SORXJK

DQG

WKH



WKH



 



0 GROFH



  



 





  00

 



 



VHD

GLY

00



VHD /0

 



  

VHD

WKH



/0

WKH

      

 

VHD /0

 

ORYH EHG

/0



VROR

ORYH EHG

 

00

000

IURP SORXJK





 

                   

  

000





/*

   

00

 

 

  

 

 

0 /*     WKH





0 /*     WKH

 

    WKH

0

VHD /*

    



  

/*

 

 

/*

           

00

 WR 3LFF 

      

   

/0

 



/0




)

    

  

6ROR $

    

   

6ROR 7

     ¬

  

6ROR %

   

  

6ROR 6

6

$

7

%

VROR 9OQ ,

r        

r        

9OQ ,,

   

9OF

' %

    

7KH\ FDOOHG KHU

ZLWK

0

FROG PRXWKV WKH

   

   

   

   

ZLWK

7KH\ FDOOHG KHU

FROG PRXWKV WKH

ZLWK

00

FROG PRXWKV WKH

0

  



  



WKH

00

 

WKH



WKH

00



FROG PRXWKV WKH

ZLWK

7KH\ FDOOHG KHU 0

WKH

£¤     

   

   

   

 

   

 

   

:L GRZ 0D NHU

   

00

:L GRZ 0D NHU

   

00

:L GRZ 0D NHU

   

00

:L GRZ 0D NHU

0

00

VHD

WKH

VHD

WKH

 

VHD

   

00

 

  

00

0  

VHD

WKH

VHD

VHD

)  





 

 

    

00

SL]]

   

 

     

    

0

0

   0

 

SL]]



   

WKH

VHD

 

00

0   

00

00

   

00

VHD

    

 s  

   

      

7KH\ FDOOHG KHU

00

JOL DOWUL

9OD

      ¬  s  

00

00

00

 

                 

      

   

 

SL]]        

  

 

     



XQLV

 

     

 

XQLV

00

 

00

XQLV

 

 

00

00


% &O

&EVQ

r  

s

7LPS

VROR

9OQ ,

 r    00

 

00

00

9OQ ,,

9OD

9OF

s



00

 

 SL]]



DUFR GLY LQ

           00  

 00

  

00

DUFR GLY LQ





£¤    

   

 

% &O

&EVQ

s

7LPS

9OQ ,

r 

9OD

9OF

s



 







 



0

0

00

00

 



 

  

00

   

  



0

  

00

    

         

   0

/0

000

00 XQLV



00



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000

000

0

00

 

  

00

00

00

00

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

   



  

   

      

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/0

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 00 £¤    00   

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000

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0

  

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  

0

DUFR GLY

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   

0

    

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0

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9OQ ,,

' %



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JOL DOWUL

' %

*

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  

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0 00


% &O

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r  

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r s

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6ROR $

6ROR %

9OQ ,

r 

00

£  

9OQ ,,

9OD

9OF

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s

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000

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 

0 00 GLY 00

000

000

¢

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

00

00

FRQ VRUG

       

          00

00 VHPSUH

0

7KLQN RI

    

GHDWK KRZ



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   

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     

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

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        00  



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+

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00

JOLVV ODEEUH

00

00



 













JOLVV ODEEUH





  



  

 





 





 











 

  

    



  

7

      ¬

 

%

   s  



+Q

7LPS

6

$

9OQ ,

9OQ ,,

9OD

r        

' %

0

  *   *

 

00

  

 ¢  00

00

00

00



  

  



  

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  



  

 D

  

  



  

 

 

2QH VWXP EOHG RQ 00 2QH VWXP EOHG RQ 00 2QH VWXP EOHG RQ 00

/

2QH VWXP EOHG RQ

VHQ]D VRUG

    

D

D

  

                 

 



    VHQ]D VRUG     

 



0

0

    0

00

00

00

0

0

     

00

0



     s 

  

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

     

0

00

00

00

00

VHQ]D VRUG



KLOO

YH

JUH\

 



JUH\

KLOO

 

KLOO

 

KLOO

YH



YH



YH



 

U\

VWHHS



U\

VWHHS





 

U\



U\

    

VWHHS

VWHHS

 

                            

 

00

 

00

    VHQ]D VRUG    0 000 00     VHQ]D VRUG     0 000 00 VHQ]D VRUG       0



 

JUH\

JUH\

D



      9OF GLY LQ

 

r      

* D

000

GLY

00

  





 







000 000

000



          00

000


2E

%VQ

7SW

7EQ

6

r  

    

   s    r            s    r       

$

      

7

      ¬

%

    s   





 









 





 

00

 

 

              









           





          

           

          

           

00

2QH

2QH

GUDQN

GUDQN

GHHS O\ DQG

2QH

GUDQN

2QH

GHHS O\ DQG

GHHS O\ DQG

GUDQN

GHHS O\ DQG

IRXQG KLP VHOI DW

IRXQG KLP VHOI DW

IRXQG KLP VHOI DW

IRXQG KLP VHOI DW

D

D

D

D

FD

FD

FD

FD

URX

URX

URX

URX

VDO

RI



 



/0

/0

/0

DQ

VDO

RI

VDO

RI

VDO

RI

DQ

DQ

/0

DQ

00

00

/0

00

JHOV

/0

00

JHOV

00

JHOV

JHOV

00

0 GROFH

0 GROFH









       

0 GROFH



2QH 0 GROFH



2QH 0 GROFH



2QH 0 GROFH

 

2QH

r  

    





 

9OQ ,,

     









9OD

  









9OF

     









' %

    s   





9OQ ,



/0



00



  0

 





00

000

  

00


2E

%VQ

6

$

7

%

9OQ ,

r        

 

    s   

r       

ZKLV

    

ZKLV

       ¬ ZKLV    s   

ZKLV



 

  

SHUHG LQ

SHUHG LQ

 



 

 

SHUHG LQ

WKH

 



WKH

  

 

WKH

  



  

SHUHG LQ

WKH

00

 

  /0

00

 

 

/0

00

/0

 

 



 

  





VH FUH WHVW FHOO

/0

0  



RI

VH FUH WHVW FHOO

 

 

RI

 

VH FUH WHVW FHOO

RI

 

VH FUH WHVW FHOO

RI

VDOW

/0

VDOW

/0

 

VDOW

/0

 

VDOW

r                                             

/0

9OQ ,,

9OD

9OF

' %

         

       

/0

00

           

    

00

           s   

SL]] XQLV

 

00

 

00

  

 

/0

 

       2QH

00

\RXQJ

/0

       2QH

00

\RXQJ

/0

       2QH

00

\RXQJ

/0

       2QH

\RXQJ

0 GLY         

00

/0

GLY

        

00

/0

GLY

        

00

/0

DUFR GLY

  

        

   

 

/0

00







0

00

\RXQJ

\RXQJ

0

00

\RXQJ

\RXQJ

0

00

\RXQJ

\RXQJ

0

00

\RXQJ

\RXQJ

     

  



  



  



  



        

    



       

    

 

        

    



        



                  

0

00

0

00

0

00

H[ FKDQJHG

H[ FKDQJHG

H[ FKDQJHG

H[ FKDQJHG

0

00









/0

0

XQLV



    

/0

/0



00




r      

&O

% &O

2E

6

$

7



    

    s  





  

 

   





  

 

   

 

    

 

    

 

    

 

    

r    0                PD Q\ XQ WDV WHG

$S ULOV IRU D EULHI

0

                   PD Q\ XQ WDV WHG

$S ULOV IRU D EULHI

/0



0

    

HF VWD V\

/0

0

    

HF VWD V\

0

  

2QH ZKR KDG WXUQHG 0

  

2QH ZKR KDG WXUQHG

/0 0 0                              ¬ PD Q\ XQ WDV WHG $S ULOV IRU D EULHI HF VWD V\ /0

0

%

0                 s   

9OQ ,

   r                          0

       

9OQ ,,

                          

PD Q\ XQ WDV WHG

$S ULOV IRU D EULHI

0

0

    

HF VWD V\

 

    



0

2QH ZKR KDG WXUQHG 0

  

2QH ZKR KDG WXUQHG

0

KXQ GUHGV IURP WKH GRRU RI WKH

KXQ GUHGV IURP WKH GRRU RI WKH

KXQ GUHGV IURP WKH GRRU RI WKH

KXQ GUHGV IURP WKH GRRU RI WKH







       /0

0

 

 

 

9OD

                       

 

 







9OF

                           

       













' %

0

0

0

   s   

 0





/0

/0

/0





/0

0

0

0

 0


3LFF

$ )O

ULW

r      

    

2E

       

 

&O

     

% &O

     

0

 

   

 

 

 

0

 

D WHPSR

              

           

 

00 00

               

00

               

                

0

0

00

00

                

                

    

  s   





 

7SW

    



 

7EQ

   s  



 

%VQ

+Q

6

$

7

%

r 

r       

0

0

 

 

         ¬ 6DOW 0R WKHU

 

 

6DOW 0R WKHU NQRFNHG RQ

      

6DOW 0R WKHU NQRFNHG RQ

    s  

NQRFNHG RQ

6DOW 0R WKHU NQRFNHG RQ

SL]]

KHU

KHU

KHU

KHU

ZLQ GRZ

ZLQ GRZ

ZLQ GRZ

ZLQ GRZ

WKDW

QLJKW

            

WKDW

QLJKW

             

                

WKDW

QLJKW

 

9OQ ,,

       

 

 

 

 

 

9OD

   



9OF

    

' %

   s  

0

0

*

 

 

 

QLJKW

 

XQLV

   *   

*

WKDW

 

0

 

 

0 SL]] XQLV

00



             

r        

0 SL]]

00

 

9OQ ,

00

D

D

D

D

ORQH

ORQH

ORQH

ORQH

ULW

D ORQH

D ORQH

D ORQH

D ORQH

  XQLV



 

 XQLV 



 

 

     

D

D

D

D

ORQH 00 ORQH 00 ORQH 00 ORQH

D WHPSR

 



 



 





   

00

00

00

00

00


2E

1 r    

+Q

VROR 9OQ , JOL DOWUL

9OQ ,,









  

 

 s  



  

 

 

  

























  

 







r 

 0

00

0

s

00

0

00

r    0   

2QH ZURWH µD 0

     

2QH ZURWH µD 0

        ¬ 2QH ZURWH µD 0

    s 

2QH ZURWH µD

1 r     

PHQ¶ RQ

 D

PHQ¶ RQ

PHQ¶ RQ

PHQ¶ RQ

D D

D

 

    

0

VSLQ GULIW

0

DUFR

9OD

9OF

    

0

0

0

0

0

0

   



 

SDJH

 

 

 

 

:HUH WKH\ RI IHUHG IRU

 

  

 

 

 

  

 

 

VSLQ GULIW VSLQ GULIW

VSLQ GULIW

SDJH

:HUH WKH\ RI IHUHG IRU

SDJH

:HUH WKH\ RI IHUHG IRU

SDJH

:HUH WKH\ RI IHUHG IRU

       

 



   

             0

   DUFR     

  

DUFR

    

   s 

DUFR

   

' %

   

  

%

  

  

7EQ

7

   

      

$

  

7SW

6



%VQ

DOO

VHD

  

DOO

VHD

  

DOO

VHD

  

DOO

VHD



UHIW ±

UHIW ±

UHIW ±

UHIW ±

  £¤      



      



        

               

 

     

 

 







 

   

       


r   

   

3LFF



 

$ )O

      

2E

                

&O

% &O

 





        

 





0

0

 





    

 

 

 

    

         





        



 

 



0 0

  

          s 

   

 



r            

   

DQG

JROG

 

        



           

   

 

        



       



        



7

%

SL UD F\ SDLQ RI ILVK WKH

VROR 9OQ , JOL DOWUL

EODFN

FDU

EODFN

DQG

JROG

              ¬ SL UD F\ SDLQ RI ILVK WKH EODFN

DQG

JROG

 

 

SL UD F\ SDLQ RI ILVK WKH

         s  

   

SL UD F\ SDLQ RI ILVK WKH

£

' %

 

  

$

9OF

     

   

6

9OD

          

%VQ

9OQ ,,

   



r      

     

 



EODFN

DQG

JROG

FDU

FDU

FDU

SL]] GLY              0

   s  

$ VWRUP UL SHQHG RQH ZHQW

JRHV"

$ VWRUP UL SHQHG RQH ZHQW

JRHV"

$ VWRUP UL SHQHG RQH ZHQW

 

 





       











 

 

 

0

   





 

  

 

* 0

  

00 * 0

00



    

       

 

                           

JRHV"



           

 

$ VWRUP UL SHQHG RQH ZHQW



 

 

   

JRHV"

 

 


3LFF

$ )O

&O

% &O

+Q

7SW

7EQ

6

$

7

%

r         

  

 

      

 

         

  

  

       

 

  

  



       

  s      

  

 

       

  

    

r 

*

*

*

*







    





  s   



r         

r       VROR





 

 









D

                 0

       0

   

0

 

*         

  

  

  

*        

  

   

  

 

*        

 

   

VZLIW O\ WKDW 0DUFK D PRQJ

 

  

0DUFK D PRQJ

      s  

 

VZLIW O\ WKDW 0DUFK D PRQJ

         ¬ VZLIW O\ WKDW

*       

       



2

 

  

VZLIW O\ WKDW 0DUFK D PRQJ

9OQ ,

 



6HD VF\WKHV IODLOV

ZLQ QRZ LQJV

6HD VF\WKHV IODLOV

ZLQ QRZ LQJV

6HD VF\WKHV IODLOV

ZLQ QRZ LQJV

6HD VF\WKHV IODLOV





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 

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 

  

 

 

   

$I WHU WKH WKLUG ZDYH WKH 0

   

VHD TXHUQV KDG KLP

$I WHU WKH WKLUG ZDYH WKH 0

VHD TXHUQV KDG KLP

$I WHU WKH WKLUG ZDYH WKH 0

VHD TXHUQV KDG KLP

$I WHU WKH WKLUG ZDYH WKH

VHD TXHUQV KDG KLP

2

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% &O

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 

 

 



7KH $W ODQ WLF ZDV YHLQHG DOO

VXP PHU ZLWK

7KH $W ODQ WLF ZDV YHLQHG DOO

VXP PHU ZLWK

YHLQHG DOO

VORZ SXUH JOLW WHUV

VORZ SXUH JOLW WHUV 00

VXP PHU ZLWK

VXP PHU ZLWK

ULW

  

00      

VORZ SXUH JOLW WHUV

    

VORZ SXUH JOLW WHUV

         

7KH $W ODQ WLF ZDV YHLQHG DOO

00

   

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9OQ ,,

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  

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9OF

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0

00

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DUFR XQLV

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P  

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D WHPSR

       

     

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9OQ ,

    

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  

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           s 

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7



              ¬ 7KH $W ODQ WLF ZDV

 

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        

r              

   s  

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7LPS

9OQ ,

9OQ ,,

9OD

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*

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*

3**7

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FUHVF

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

   

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WXWWL XQLV

**

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**

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*

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 

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*

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3*

,

4  

3*

  

DP

,

     

, 0

0

GLY

 

00

00



/0

 



0

  



 

 

0

 


7LPS

 

6ROR 6

6ROR $

     

6ROR 7

      ¬ ERUQ

9OQ ,

ERUQ

9OD

P\ ZD\V

DW

 

 

  

 

 

 

 

JR

ZKR

JR

0

ZKR

     

0





WR

WKH





 









 



 

 

P\ ZD\V

JR

0

  



P\ ZD\V

 

P\ ZD\V

 

DW

RQFH

RQFH

DW

RQFH

DW

RQFH

WR

WKH

GDUN

GDUN

GDUN

WR

WKH

GDUN

 





 





                                                          

/0

0

XQLV                                                    

  s  

 

  

 









 

 

 

 



0

/0

/0

0

         

' %

WKH

ZKR

/0

9OF

WR

JR

/0

9OQ ,,



0

r      

     

 

0

/0

 

ZKR

    

ERUQ

/0

/0

 

0

ERUQ /0



 



/0

     

6ROR %

0



 






7LPS 6ROR 6 6ROR $ 6ROR 7 6ROR % 9OQ , 9OQ ,, 9OD

9OF



00

/0

00

         

GRRU /0

00

GRRU /0

00

/0

00

      ¬ GRRU    

GRRU

r   GLY

      /0

00

     /0

GLY      /0

GLY       s  /0



  

 

 

 

 

 

   

 0

 

WR 0

 

WR 0

 

WR 0

 

WR

 

00



00

 

00



 0

 XQLV

0

0

GURZQ

GURZQ

GURZQ

GURZQ

 

LQJ

 

LQJ

 

 

LQJ

LQJ

 

    

URW

 

URW

 

URW

 

URW

 

              0

                   0

 

 

   

 

 

ILUH

WKH

   

FKRNHG

 

ILUH

WKH

FKRNHG

   

 

   

WKH

FKRNHG

 



ILUH

ILUH

  

WKH

 

FKRNHG



                

                        

7LPS

 



6ROR 6

    

 

6ROR $

    

KHDUW

 

WKH

6ROR 7

    ¬ KHDUW

 

6ROR %

9OQ ,

9OQ ,, 9OD

9OF

KHDUW

WKH

   

KHDUW

r      

 

FKRNHG

FKRNHG



EUDLQ

   

WKH

 

EUDLQ

WKH



 

  

VWURNH

VWURNH



 

 

  

00

   

   



  

       



/* /*

RI

*RG /*

RI

*RG /*

00

EXW 00

00

EXW 00

EUDLQ

WKH

VWURNH

RI

 

 



 

  





  

    



    









FKRNHG

EUDLQ

WKH

VWURNH



 

 



RI

*RG

/*

                                     

               s 

00

EXW 00



FKRNHG

WKH

*RG /*

00

00



WKH

 





/*

    

     



    /*     /*

00

00

   00

    00

EXW

00

00

00


7LPS 6ROR 6 6ROR $ 6ROR 7 6ROR % 9OQ , 9OQ ,, 9OD

9OF

2E &O 7SW 7LPS 6ROR 6



 

00

RQH

      ¬ RQH     

r     

MDU

 

D

D

MDU









MDU

  MDU

DO

  



ZD\V



 

IRU

WKH

DO

ZD\V

IRU

WKH

DO

ZD\V

IRU

WKH

DO

ZD\V

IRU

 

 



  

 

   









 

WKH

                                                                

XQLV

                                           00                        s  r    

  s  r   s   



   



6ROR 7

      ¬ SHR    

 



SHR SOH SHR SOH



OLYH

LQ

LV



ZKR

OLYH





LQ

OLYH

LQ

SHR SOH

ZKR

OLYH

LQ

 

 



r      

 



9OQ ,,

   

9OD

  

9OF

   ¢  

ZKR

ZKR

 

SOH



 

6ROR $

 s  



     

' %

      

    





 

LV

D

LV

GRRU

9OQ ,

 

GRRU



LV

RQH

D



GRRU

 



LV

RQH





GRRU

    





     

6ROR %



LV

LV

LV



 

  



 

 

ODQGV



 

ODQGV

 

ODQGV

       

 









ODQGV

 

               

    

                    



5 

0

 

,

DP WKH



 

 

3* 0 VROR

 

3* 0 VROR

 

3* 0

FKLOG



  



D PRQJ

   

 







  

  



        

 

 VROD 

0







    

5 

VDQG

 

3*

/*

     

DQG

URFN SRROV

     



 

 













  



  

  

  

  


2E &O 7SW 6ROR 6 6ROR $ 6ROR 7 9OQ , 9OQ ,, 9OD

9OF

' %

&O

6ROR 7

6ROR % 9OQ ,

r   D    

s

0

r    s    3*

0 0

     





      

 

 





0

       

     ¬ r     



 

           

  s  

*

 *

0

0

       ¬ PDQ ZKR   

r    

  

0



r   s  

9OD



   

,

DP WKH



 

ER\



  



   

/0

0

/0

   

0



ZKR OD\V WZR









 

 

 







     

     

ORE VWHUV RQ

D SRRU



 

   

 

 

 



/0

 

 



/0

0 0

/0

0

/0



D JKRVW

D

 

,

DP WKH \RXQJ

  





 

 





 

 



   

VWRUP

  



              

FRPHV RXW RI WKH

 

0



00

0

 

   

0

/0

 

WKUHVK K ROG

                           00

JKRVW ZLWK D UHG

 

  

 

  







PRXWK

00





           













 

    

  

 s    

0

    

   

' %

0

  

9OQ ,,

9OF

3*



/0

   /0

 

/0

,

0

 

 

00

0

00

0

00



DP WKH

ID WKHU

ZKRVH







  

 



        










&O

%VQ

&EVQ

7SW

r   

   

 s  

r    

SRFR V* 0

SRFR V* 0

 



     

   



 s  



6ROR %

     

VSHUP

r    

 





WDVWHV

 

RI

WKH

SRFR V* 0

    

$

   



 

7

    ¬

 

 

%

 s  

 

 



 

9OQ ,,

    



 

9OD

  



 

9OF

    



  

' %

    s 



  

9OQ ,

r    

FRQ VRUG



SRFR V* 0 SRFR V* 0







00

FRQ VRUG

 

00



FRQ VRUG

00

000

FRQ VRUG

    

00



6KRXOG 00



6KRXOG 00



6KRXOG 00



6KRXOG

6

D WHPSR

 

000

000

 

 

  





 



ZHD U\

WKH

SHR



   

   

DQ

ROG

PDQ

 

ROG

  

DQ

 

ROG

    DQ

ROG

XQLV

 00

00

JOLVV

JOLVV

PDQ

PDQ

PDQ

ZHD U\

ZHD U\

ZHD U\

WKH

SHR

WKH

SHR

WKH

JOLVV JOLVV

SHR





 

DQ

00

VHD

 

000



6

D WHPSR

000

  

SRFR V* 0

6

000

  

    

7EQ

  

 

SOH

 

DW

  

SOH

DW



 

SOH

SOH

DW

 

DW

    



   










7SW

r     

     

  

7EQ

6

$

7

%

9OQ ,



 s    

r     

ODVW

    

ODVW

      ¬ ODVW  s    

ODVW

r     

 







 

 







 







  

   

 

  

   

 

JHQGV RI

    

    

ZLWK

OH

 

ZLWK

OH

OH

ZLWK

JHQGV RI

OH

 

  

ZLWK

 

JHQGV RI

JHQGV RI

VKLS

VKLS

VKLS

    VKLS

   

00

    



9OD

  

 

9OF

' %

 s  

WXWWL GLY



00

JOLVV JOLVV

 



ZUHFN"

ZUHFN"

     

9OQ ,,

   

ULW

    

ZUHFN"

ZUHFN"

 

 

 

  

 

 

 

 

7KH

7KH

7KH

7KH

 

 

ZD

WXWWH

 

00

WHUV

 

WHUV



 

R SHQHG ODVW

 

R SHQHG ODVW





 

 



 

  

 



 



 

 

 



 



 



ZD

ULW

WHUV

WHUV

R SHQHG ODVW

R SHQHG ODVW

  XQLV

  00



 



000

QLJKW

ZD

000

QLJKW

 

00

 

ZD

 



000

QLJKW



000

QLJKW

000

000

000

000

   



 





 


3LFF

)O 2E

D WHPSR

r    

   

% &O

  

%VQ

   

7SW 7EQ 7LPS 6ROR 6 $

6ROR 7 % 6 $

7 %

FUHVF



 

FUHVF

* *

  

+Q

*

     

      

&O

&EVQ

                              * FUHVF                                 * FUHVF

* FUHVF

 



 



r 

*

        * FUHVF VHQ]D VRUG                                                     * FUHVF  VHQ]D VRUG                    s



*



*

FUHVF

FUHVF

       

* FUHVF

 s   r    

9OD

  

 

SHQHG

R

SHQHG

  * FUHVF   * FUHVF  * FUHVF * FUHVF

 

 

R * FUHVF



SHQHG





R * FUHVF

     

 s  

* FUHVF R

r    

 

       

9OQ ,,

' %

 s  

   

9OF

 

FUHVF

D WHPSR

9OQ ,

SHQHG



   

   


3LFF

)O 2E &O % &O

%VQ &EVQ

+Q 7SW 7EQ 7LPS

6ROR 6 $ 6ROR 7 % 6 $

7 %

9OQ ,

9OQ ,, 9OD

9OF ' %

r   

        

SL * FUHVF

**

** FUHVF

***

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