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{ǒƆĻƷƭ ķĻ Ĭğĭ ʹ DĽƚƒĽƷƩźĻ ķğƓƭ ƌ"ĻƭƦğĭĻ Α Њ

{ǒƆĻƷ ƓπЊ ʹ [ğ wĽǒƓźƚƓ Α ƆǒźƓ ЋЉЉЌ

hƓ ĭƚƓƭźķļƩĻ ǒƓ ĭǒĬĻ ݂݄݆݀݁݃݅݇ ķ͸ğƩľƷĻ Њ͵ [Ļ ƓƚƒĬƩĻ ݚ ķĽƭźŭƓĻ ǒƓ ƩĽĻƌ ƭƷƩźĭƷĻƒĻƓƷ ƦƚƭźƷźŅ͵

hƓ ĭƚƓƭźķļƩĻ ƌĻ ƦƚźƓƷ ݌ ķĻ ƌğ ķĻƒźΏķƩƚźƷĻ ቛ݄݀ቘ ķĽŅźƓź ƦğƩ ݀݌቉

ЊΜ 5ĽƷĻƩƒźƓĻƩ ƌĻ ǝƚƌǒƒĻ ķǒ ƷĽƷƩğļķƩĻ ݀݁݃݌ ĻƓ ŅƚƓĭƷźƚƓ ķĻ ݚ͵

୓ቘ,቗݁;1ቘ ,቗݃;1ቘቚ ğ͵ 9ǣƦƩźƒĻƩ ݁݊቉

቉቉቉቉቉Ճ.݀݌቉቉቉቉቉቉Ճ ĻƷ ݁݊቉቉቉቉቉቉Ճ.݀݃቉቉቉቉቉Ճ Ʀǒźƭ ĻƓ ķĽķǒźƩĻ ƌ͸ĽŭğƌźƷĽ ݁݊቉቉቉቉቉቉Ճ.݌݃቉቉቉቉቉቉Ճ൩ 0͵

ĭ͵ 5ĽƒƚƓƷƩĻƩ ƌ͸ĽŭğƌźƷĽ ݃݊቉ ቉቉቉቉቉Ճ.݌݁቉቉቉቉቉቉Ճ൩ 0͵

ķ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ݊ ĻƭƷ ƌ͸ƚƩƷŷƚĭĻƓƷƩĻ ķǒ ƷƩźğƓŭƌĻ ݁݃݌͵

ЌΜ 5ĽƒƚƓƷƩĻƩ ƌĻƭ ĽŭğƌźƷĽƭ ݀݊቉

቉቉቉቉Ճ.݌݁቉቉቉቉቉቉Ճ൩ 0 ĻƷ ݀݊቉቉቉቉቉Ճ.݌݃቉቉቉቉቉቉Ճ൩ 0͵ vǒ͸ĻƓ ķĽķǒźƷΏƚƓ ƦƚǒƩ ƌğ ķƩƚźƷĻ ቗݀݊ቘ ͪ

ğ͵ aƚƓƷƩĻƩ ƨǒĻ ƌĻ ƷƩźğƓŭƌĻ ݁݃݌ ĻƭƷ źƭƚĭļƌĻ ĻƷ ƨǒĻ ƭƚƓ ğźƩĻ ĻƭƷ ĽŭğƌĻ Ġ

Ĭ͵ 5ĽƷĻƩƒźƓĻƩ ƌĻ ƩĽĻƌ ݚ ƷĻƌ ƨǒĻ ƌ͸ğźƩĻ ķǒ ƷƩźğƓŭƌĻ ݁݃݌ ƭƚźƷ ĽŭğƌĻ Ġ Њ ǒƓźƷĽ ķ͸ğźƩĻ͵ 5ĽƷĻƩƒźƓĻƩ ƌğ

{ǒƆĻƷ ƓπЋ ʹ tƚƌǤƓĽƭźĻ Α ƭĻƦƷĻƒĬƩĻ ЊВВБ

5ğƓƭ ƌ͸ĻƭƦğĭĻ ƒǒƓź ķǒ ƩĻƦļƩĻ ƚƩƷŷƚƓƚƩƒğƌ ķźƩĻĭƷ

ՃඌͲ Ɠƚǒƭ ĭƚƓƭźķĽƩƚƓƭ ƌĻƭ ƦƚźƓƷƭ ݀቗0;6;0ቘͲ ݁቗0;0;8ቘ ĻƷ

቗4;0;8ቘ͵

ğ͵ wĽğƌźƭĻƩ ƌğ ŅźŭǒƩĻ ĭƚƒƦƚƩƷğƓƷ ƌĻƭ ƦƚźƓƷƭ ķĽŅźƓźƭ ķğƓƭ ƌ͸ĻǣĻƩĭźĭĻ ΛǒƓźƷĽ ŭƩğƦŷźƨǒĻ 1 ݜݦΜ

Ĭ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ʹ ĭ͵ 5ĽƷĻƩƒźƓĻƩ ƌĻ ǝƚƌǒƒĻ ĻƓ ݜݦ

ķ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌĻƭ ƨǒğƷƩĻ ƦƚźƓƷƭ ݎ,݀,݁ ĻƷ ݂ ƭĻ ƷƩƚǒǝĻƓƷ ƭǒƩ ǒƓĻ ƭƦŷļƩĻ ķƚƓƷ ǝƚǒƭ ķĽƷĻƩƒźƓĻƩĻǩ ƌĻ

ЋΜ ! ƷƚǒƷ ƩĽĻƌ ݤ ķĻ ƌ͸źƓƷĻƩǝğƌƌĻ ƚǒǝĻƩƷ ቜ0;8ቛͲ ĻƭƷ ğƭƭƚĭźĽ ƌĻ ƦƚźƓƷ ݌቗0;0;ݤቘ͵

ğ͵ 5ĽƷĻƩƒźƓĻƩ ƌğ ƓğƷǒƩĻ ķǒ ƨǒğķƩźƌğƷļƩĻ ݌ݍݏݐ͵

Ĭ͵ [ğ ķƩƚźƷĻ ቗ݏ݌ቘ ĻƭƷΏĻƌƌĻ ƚƩƷŷƚŭƚƓğƌĻ Ġ ƌğ ķƩƚźƷĻ ቗ݎ݁ቘ ͪ tƚǒƩ ƨǒĻƌƌĻ ǝğƌĻǒƩ ķĻ ݤ ƌğ ķƩƚźƷĻ ቗݌ݏቘ ĻƭƷΏ

ĭ͵ 5ĽƷĻƩƒźƓĻƩ ݌ݏ

୓ ĻƓ ŅƚƓĭƷźƚƓ ķĻ ݤ͵ tƚǒƩ ƨǒĻƌƌĻ ǝğƌĻǒƩ ķĻ ݤ ƌğ ķźƭƷğƓĭĻ ݏ݌ ĻƭƷΏĻƌƌĻ ƒźƓźƒğƌĻ ͪ

5ğƓƭ ƌ͸ĻƭƦğĭĻͲ ƒǒƓź ķ͸ǒƓ ƩĻƦļƩĻ ƚƩƷŷƚƓƚƩƒğƌ

቗1;2;ൣ1ቘ ; ݁቗ൣ3;ൣ2;3ቘ et ݂቗0;ൣ2;ൣ3ቘ

ğ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌĻƭ ƦƚźƓƷƭ ݀,݁ ĻƷ ݂ ƓĻ ƭƚƓƷ Ʀğƭ ğƌźŭƓĽƭ͵

Ĭ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌĻ ǝĻĭƷĻǒƩ ݧ቉

Ճ቗2;ൣ1;1ቘ ĻƭƷ ǒƓ ǝĻĭƷĻǒƩ ƓƚƩƒğƌ ğǒ ƦƌğƓ ቗݂݀݁ቘ͵

ЋΜ {ƚźƷ ቗ݏቘ ƌĻ ƦƌğƓ ķƚƓƷ ǒƓĻ ĽƨǒğƷźƚƓ ĭğƩƷĽƭźĻƓƓĻ ĻƭƷ ݱ ൢ ݲ ൣ ݳ ൢ 2 ൩ 0͵

5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌĻƭ ƦƌğƓƭ

ЌΜ hƓ ğƦƦĻƌƌĻ ݆ ƌĻ ĬğƩǤĭĻƓƷƩĻ ķĻƭ ƦƚźƓƷƭ ƦƚƓķĽƩĽƭ ቗݀;1ቘͲ ቗݁;ൣ1ቘ ĻƷ ቗݂;2ቘ͵

ğ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌĻ ƦƚźƓƷ ݆ ğ ƦƚǒƩ ĭƚƚƩķƚƓƓĽĻƭ ቗2;0;ൣ5ቘ͵

Ĭ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌğ ķƩƚźƷĻ ቗݂݆ቘ ĻƭƷ ƚƩƷŷƚŭƚƓğƌĻ ğǒ ƦƌğƓ ቗ݏቘ͵

ĭ͵ 5ĽƷĻƩƒźƓĻƩ ƌĻƭ ĭƚƚƩķƚƓƓĽĻƭ ķǒ ƦƚźƓƷ ݇Ͳ źƓƷĻƩƭĻĭƷźƚƓ ķǒ ƦƌğƓ ቗ݏቘ ğǝĻĭ ƌğ ķƩƚźƷĻ ቗݂݆ቘ͵

ЍΜ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌ͸ĻƓƭĻƒĬƌĻ ቗ݒቘ ķĻƭ ƦƚźƓƷƭ ݌ ķĻ ƌ͸ĻƭƦğĭĻ ƷĻƌƭ ƨǒĻ ๋݌݀቉

቉቉቉቉቉Ճൣ ݌݁቉቉቉቉቉቉Ճൢ 2݌݂቉቉቉቉቉቉Ճ๋൩ 12 ĻƭƷ ǒƓĻ ƭƦŷļƩĻ

ЎΜ 5ĽƷĻƩƒźƓĻƩ ƌğ ƓğƷǒƩĻ ĻƷ ƌĻƭ ĽƌĽƒĻƓƷƭ ĭğƩğĭƷĽƩźƭƷźƨǒĻƭ ķĻ ƌ͸źƓƷĻƩƭĻĭƷźƚƓ ķǒ ƦƌğƓ ቗ݏቘ ĻƷ ķĻ ƌğ ƭƦŷļƩĻ ቗ݒቘ͵

{ǒƆĻƷ ƓπЍ ʹ CƩğƓĭĻ Α ƭĻƦƷĻƒĬƩĻ ЋЉЉЎ

ЊΜ hƓ ĭƚƓƭźķļƩĻ ƌĻ ƦƌğƓ इ ƦğƭƭğƓƷ ƦğƩ ƌĻ ƦƚźƓƷ ݁቗1;ൣ2;1ቘ ĻƷ ķĻ ǝĻĭƷĻǒƩ ƓƚƩƒğƌ ݧ቉

Ճඊൣ2

1

5ඎ ĻƷ ƌĻ ƦƌğƓ उ

ķ͸ĽƨǒğƷźƚƓ ĭğƩƷĽƭźĻƓƓĻ ݱ ൢ 2ݲ ൣ 7 ൩ 0͵

ğ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ इ ĻƷ उ ƭƚƓƷ ƦĻƩƦĻƓķźĭǒƌğźƩĻƭ͵

Ĭ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌ͸źƓƷĻƩƭĻĭƷźƚƓ ķĻƭ ƦƌğƓƭ इ ĻƷ उ ĻƭƷ ƌğ ķƩƚźƷĻ Δ ƦğƭƭğƓƷ ƦğƩ ƌĻ ƦƚźƓƷ ݂቗ൣ1;4;ൣ1ቘ ĻƷ ķĻ

Ճඊ2

ൣ1

1ඎ͵

ĭ͵ {ƚźƷ ݀቗5;ൣ2;ൣ1ቘ͵ /ğƌĭǒƌĻƩ ƌğ ķźƭƷğƓĭĻ ķĻ ݀ ğǒ ƦƌğƓ इ Ʀǒźƭ ƌğ ķźƭƷğƓĭĻ ķĻ ݀ ğǒ ƦƌğƓ उ͵

ķ͵ 5ĽƷĻƩƒźƓĻƩ ƌğ ķźƭƷğƓĭĻ ķǒ ƦƚźƓƷ ݀ Ġ ƌğ ķƩƚźƷĻ Δ͵

ఄ ķĻ ĭƚƚƩķƚƓƓĽĻƭ ቗1 ൢ 2ݭ;3 ൣ ݭ;ݭቘ͵ 5ĽƷĻƩƒźƓĻƩ ĻƓ ŅƚƓĭƷźƚƓ

ķĻ ݭ ƌğ ƌƚƓŭǒĻǒƩ ݀݌͵ hƓ ƓƚƷĻ ࠓ቗ݭቘ ĭĻƷƷĻ ƌƚƓŭǒĻǒƩ͵ hƓ ķĽŅźƓźƷ ğźƓƭź ǒƓĻ ŅƚƓĭƷźƚƓ ࠓ ķĻ Ֆ ķğƓƭ Ֆ͵

Ĭ͵ 9ƷǒķźĻƩ ƌĻƭ ǝğƩźğƷźƚƓƭ ķĻ ƌğ ŅƚƓĭƷźƚƓ ࠓ ƭǒƩ Ֆ ͳ ƦƩĽĭźƭĻƩ ƭƚƓ ƒźƓźƒǒƒ͵

ĭ͵ LƓƷĻƩƦƩĽƷĻƩ ŭĽƚƒĽƷƩźƨǒĻƒĻƓƷ ƌğ ǝğƌĻǒƩ ķĻ ĭĻ ƒźƓźƒǒƒ͵

tğƩƷźĻ !͵ ...Ɠ ƷƩźğƓŭƌĻ ĻƷ ƭƚƓ ĭĻƓƷƩĻ ķĻ ŭƩğǝźƷĽ͵

ЊΜ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ƌĻ ƷƩźğƓŭƌĻ ݄݁݃ ĻƭƷ ĽƨǒźƌğƷĽƩğƌ͵

Ĭ͵ 5ĽƒƚƓƷƩĻƩ ƨǒĻ ݈݀቉

୔݆݀቉቉቉቉቉Ճ͵ vǒĻ ƦĻǒƷΏƚƓ ĻƓ ķĽķǒźƩĻ ƦƚǒƩ ƌĻƭ ƦƚźƓƷƭ ݀,݈,݆ͪ

ЌΜ tƩƚǒǝĻƩ ƨǒĻ ݈ ĻƭƷ ƌĻ ƦƩƚƆĻƷĽ ƚƩƷŷƚŭƚƓğƌ ķĻ ݀ ƭǒƩ ƌĻ ƦƌğƓ ቗݄݁݃ቘ.

tğƩƷźĻ .͵ ...ƓĻ ķƩƚźƷĻ ƦğƩƷźĭǒƌźļƩĻ

tƚǒƩ ƷƚǒƷ ƓƚƒĬƩĻ ƩĽĻƌ ݤͲ ƚƓ ķĽŅźƓźƷ ķĻǒǣ ƦƚźƓƷƭ ݌

ЊΜ LķĻƓƷźŅźĻƩ ݏొ

Ĭ͵ 5ĽƷĻƩƒźƓĻƩ ǒƓĻ ĽƨǒğƷźƚƓ ķǒ ƦƌğƓ ݏ

ĭ͵ 9Ɠ ķĽķǒźƩĻ ƨǒĻ ƌĻ ƦƚźƓƷ ݍ

௻ ğ ƦƚǒƩ ĭƚƚƩķƚƓƓĽĻƭ ቗1;3ݤ ൣ 1;0ቘ͵

ЌΜ tƚǒƩ ƨǒĻƌƌĻƭ ǝğƌĻǒƩƭ ķĻ ݤ ƌğ ķƩƚźƷĻ ቗݌

ЍΜ tƚǒƩ ƨǒĻƌƌĻƭ ǝğƌĻǒƩƭ ķĻ ݤ ƌğ ķźƭƷğƓĭĻ ݌

[Ļƭ ƦƚźƓƷƭ ݀,݁ ĻƷ ݂ ƚƓƷ ƦƚǒƩ ĭƚƚƩķƚƓƓĽĻƭ ƩĻƭƦĻĭƷźǝĻƭ ʹ ݀቗3;ൣ2;2ቘ ͳ ݁቗6;1;5ቘ ĻƷ ݂቗6;ൣ2;ൣ1ቘ͵

tğƩƷźĻ !

ЊΜ aƚƓƷƩĻƩ ƨǒĻ ƌĻ ƷƩźğƓŭƌĻ ݂݀݁ ĻƭƷ ǒƓ ƷƩźğƓŭƌĻ ƩĻĭƷğƓŭƌĻ͵

ЋΜ {ƚźƷ ݏ ƌĻ ƦƌğƓ ķ͸ĽƨǒğƷźƚƓ ĭğƩƷĽƭźĻƓƓĻ ݱ ൢ ݲ ൢ ݳ ൣ 3 ൩ 0͵

aƚƓƷƩĻƩ ƨǒĻ ݏ ĻƭƷ ƚƩƷŷƚŭƚƓğƌ Ġ ƌğ ķƩƚźƷĻ ቗݀݁ቘ ĻƷ ƦğƭƭĻ ƦğƩ ƌĻ ƦƚźƓƷ ݀͵

ЌΜ {ƚźƷ ݏԿ ƌĻ ƦƌğƓ ƚƩƷŷƚŭƚƓğƌ Ġ ƌğ ķƩƚźƷĻ ቗݂݀ቘ ĻƷ ƦğƭƭğƓƷ ƦğƩ ݀͵ 5ĽƷĻƩƒźƓĻƩ ǒƓĻ ĽƨǒğƷźƚƓ ĭğƩƷĽƭźĻƓƓĻ ķĻ ݏԿ͵

tğƩƷźĻ .

ЊΜ {ƚźƷ ݃ ƌĻ ƦƚźƓƷ ķĻ ĭƚƚƩķƚƓƓĽĻƭ ቗0;4;ൣ1ቘ͵

aƚƓƷƩĻƩ ƨǒĻ ƌğ ķƩƚźƷĻ

ЌΜ aƚƓƷƩĻƩ ƨǒĻ ƌ͸ğƓŭƌĻ ŭĽƚƒĽƷƩźƨǒĻ ݂݁݃฀ ğ ƦƚǒƩ ƒĻƭǒƩĻ

Ĭ͵ 9Ɠ ķĽķǒźƩĻ ƌğ ķźƭƷğƓĭĻ ķǒ ƦƚźƓƷ ݀ ğǒ ƦƌğƓ ቗݂݁݃ቘ͵

/ƚƩƩĻĭƷźƚƓ ƭǒƆĻƷƭ ķĻ Ĭğĭ ʹ DĽƚƒĽƷƩźĻ ķğƓƭ ƌ"ĻƭƦğĭĻ Α Њ

{ǒƆĻƷ ƓπЊ ʹ [ğ wĽǒƓźƚƓ Α ƆǒźƓ ЋЉЉЌ

hƩ ݀݁݃ ĻƭƷ ǒƓ ƷƩźğƓŭƌĻ ƩĻĭƷğƓŭƌĻ źƭƚĭļƌĻ ĻƓ ݀ ğǝĻĭ ݀݁ ൩ ݀݃ ൩ 1 ķƚƓĭ ࣸ

5Ļ ƦƌǒƭͲ ݀݌ ൩

௱൥ ݄݀ ΛĭğƩ ݚ ൭ 0Μ ķƚƓĭ ݀݌ ൩୒ CźƓğƌĻƒĻƓƷ ऍ ൩

୓ൢ 2 ൪ 0 ķƚƓĭ ƌĻ ĬğƩǤĭĻƓƷƩĻ ݊ ĻǣźƭƷĻ͵

tğƩ ķĽŅźƓźƷźƚƓ ʹ ݚ

୓݌݊቉቉቉቉቉቉቉Ճൢ ݁݊቉቉቉቉቉቉Ճൢ ݃݊቉቉቉቉቉቉Ճ൩ 0቉Ճ͵ hƩ ʹ

୓݌݊቉቉቉቉቉቉቉Ճൢ ݁݊቉቉቉቉቉቉Ճൢ ݃݊቉቉቉቉቉቉Ճ൩ 0቉Ճֻ ݚ୓ඈ݌݁቉቉቉቉቉቉Ճൢ ݁݊቉቉቉቉቉቉Ճඌൢ ݁݊቉቉቉቉቉቉Ճൢ ݃݁቉቉቉቉቉቉Ճൢ ݁݊቉቉቉቉቉቉Ճ൩ 0቉Ճֻ

ݚ୓ൢ 2݁݌቉቉቉቉቉቉Ճൢ1 ݚ୓ൢ 2݁݃቉቉቉቉቉቉Ճ

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