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SLIDE 1

▼❚❆❚✳✵✺✳✶✵✺ ❚②♣❡ ❚❤❡♦r② ❈✉rr②✲❍♦✇❛r❞ ❝♦rr❡s♣♦♥❞❡♥❝❡

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SLIDE 2

❈✉rr②✲❍♦✇❛r❞ ❝♦rr❡s♣♦♥❞❡♥❝❡

❈✉rr②✲❍♦✇❛r❞ ❝♦rr❡s♣♦♥❞❡♥❝❡ ✭❡♥✳✇✐❦✐♣❡❞✐❛✳♦r❣✮

❚❤❡ ❈✉rr②④❍♦✇❛r❞ ❝♦rr❡s♣♦♥❞❡♥❝❡ ✐s t❤❡ ❞✐r❡❝t r❡❧❛t✐♦♥s❤✐♣ ❜❡t✇❡❡♥ ❝♦♠♣✉t❡r ♣r♦❣r❛♠s ❛♥❞ ♣r♦♦❢s ✐♥ ❝♦♥str✉❝t✐✈❡ ♠❛t❤❡✲ ♠❛t✐❝s✳ ❆❧s♦ ❦♥♦✇♥ ❛s ❈✉rr②④❍♦✇❛r❞ ✐s♦♠♦r♣❤✐s♠✱ ♣r♦♦❢s✲❛s✲ ♣r♦❣r❛♠s ❝♦rr❡s♣♦♥❞❡♥❝❡ ❛♥❞ ❢♦r♠✉❧❛❡✲❛s✲t②♣❡s ❝♦rr❡s♣♦♥❞❡♥❝❡✱ ✐t r❡❢❡rs t♦ t❤❡ ❣❡♥❡r❛❧✐③❛t✐♦♥ ♦❢ ❛ s②♥t❛❝t✐❝ ❛♥❛❧♦❣② ❜❡t✇❡❡♥ s②s✲ t❡♠s ♦❢ ❢♦r♠❛❧ ❧♦❣✐❝ ❛♥❞ ❝♦♠♣✉t❛t✐♦♥❛❧ ❝❛❧❝✉❧✐ t❤❛t ✇❛s ☞rst ❞✐s❝♦✈❡r❡❞ ❜② t❤❡ ❆♠❡r✐❝❛♥ ♠❛t❤❡♠❛t✐❝✐❛♥ ❍❛s❦❡❧❧ ❈✉rr② ❛♥❞ ❧♦❣✐❝✐❛♥ ❲✐❧❧✐❛♠ ❆❧✈✐♥ ❍♦✇❛r❞✳

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SLIDE 3

❈❧❛ss✐❝❛❧ ✈s✳ ❝♦♥str✉❝t✐✈❡ ❧♦❣✐❝

❈❧❛ss✐❝❛❧ ❧♦❣✐❝

❊✈❡r② ♣r♦♣♦s✐t✐♦♥ ✐s ❡✐t❤❡r tr✉❡ ♦r ❢❛❧s❡✳ ❈♦♥❝❡r♥❡❞ ✇✐t❤✿ ✧❲❤❡t❤❡r ❛ ❣✐✈❡♥ ♣r♦♣♦s✐t✐♦♥ ✐s tr✉❡ ♦r ♥♦t❄✧

❈♦♥str✉❝t✐✈❡ ❧♦❣✐❝

Pr♦♣♦s✐t✐♦♥ ✐s tr✉❡ ♦♥❧② ✐❢ ✇❡ ❝❛♥ ♣r♦✈❡ ✐t✳ ❈♦♥❝❡r♥❡❞ ✇✐t❤✿ ✧❍♦✇ ❛ ❣✐✈❡♥ ♣r♦♣♦s✐t✐♦♥ ❜❡❝♦♠❡s tr✉❡❄✧

❈❧❛ss✐❝❛❧ t❛✉t♦❧♦❣✐❡s ♥♦t ♣r♦✈❛❜❧❡ ❝♦♥str✉❝t✐✈❡❧②

❆ ❴ ✿❆ ✿✿❆ ✛ ❆ ✭✭❆ ✛ ❇✮ ✛ ❆✮ ✛ ❆

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SLIDE 4

❈❧❛ss✐❝❛❧ ✈s✳ ❝♦♥str✉❝t✐✈❡ ❧♦❣✐❝

❈❧❛ss✐❝❛❧ ❧♦❣✐❝

❊✈❡r② ♣r♦♣♦s✐t✐♦♥ ✐s ❡✐t❤❡r tr✉❡ ♦r ❢❛❧s❡✳ ❈♦♥❝❡r♥❡❞ ✇✐t❤✿ ✧❲❤❡t❤❡r ❛ ❣✐✈❡♥ ♣r♦♣♦s✐t✐♦♥ ✐s tr✉❡ ♦r ♥♦t❄✧

❈♦♥str✉❝t✐✈❡ ❧♦❣✐❝

Pr♦♣♦s✐t✐♦♥ ✐s tr✉❡ ♦♥❧② ✐❢ ✇❡ ❝❛♥ ♣r♦✈❡ ✐t✳ ❈♦♥❝❡r♥❡❞ ✇✐t❤✿ ✧❍♦✇ ❛ ❣✐✈❡♥ ♣r♦♣♦s✐t✐♦♥ ❜❡❝♦♠❡s tr✉❡❄✧

❈❧❛ss✐❝❛❧ t❛✉t♦❧♦❣✐❡s ♥♦t ♣r♦✈❛❜❧❡ ❝♦♥str✉❝t✐✈❡❧②

❆ ❴ ✿❆ ✿✿❆ ✛ ❆ ✭✭❆ ✛ ❇✮ ✛ ❆✮ ✛ ❆

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SLIDE 5

❈❧❛ss✐❝❛❧ ✈s✳ ❝♦♥str✉❝t✐✈❡ ❧♦❣✐❝

❈❧❛ss✐❝❛❧ ❧♦❣✐❝

❊✈❡r② ♣r♦♣♦s✐t✐♦♥ ✐s ❡✐t❤❡r tr✉❡ ♦r ❢❛❧s❡✳ ❈♦♥❝❡r♥❡❞ ✇✐t❤✿ ✧❲❤❡t❤❡r ❛ ❣✐✈❡♥ ♣r♦♣♦s✐t✐♦♥ ✐s tr✉❡ ♦r ♥♦t❄✧

❈♦♥str✉❝t✐✈❡ ❧♦❣✐❝

Pr♦♣♦s✐t✐♦♥ ✐s tr✉❡ ♦♥❧② ✐❢ ✇❡ ❝❛♥ ♣r♦✈❡ ✐t✳ ❈♦♥❝❡r♥❡❞ ✇✐t❤✿ ✧❍♦✇ ❛ ❣✐✈❡♥ ♣r♦♣♦s✐t✐♦♥ ❜❡❝♦♠❡s tr✉❡❄✧

❈❧❛ss✐❝❛❧ t❛✉t♦❧♦❣✐❡s ♥♦t ♣r♦✈❛❜❧❡ ❝♦♥str✉❝t✐✈❡❧②

❆ ❴ ✿❆ ✿✿❆ ✛ ❆ ✭✭❆ ✛ ❇✮ ✛ ❆✮ ✛ ❆

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SLIDE 6

◆❛t✉r❛❧ ❞❡❞✉❝t✐♦♥

  • ❡♥❡r❛❧ ❢♦r♠ ♦❢ ✐♥❢❡r❡♥❝❡ r✉❧❡s✿

P✶ P✷ ✿ ✿ ✿ P♥ P✵

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SLIDE 7

◆❛t✉r❛❧ ❞❡❞✉❝t✐♦♥

  • ❡♥❡r❛❧ ❢♦r♠ ♦❢ ✐♥❢❡r❡♥❝❡ r✉❧❡s✿

P✶ P✷ ✿ ✿ ✿ P♥ P✵ ④ P✶✱ ✳ ✳ ✳ ✱ P♥ ❛r❡ ♣r❡♠✐s❡s✱ P✵ ✐s ❛ ❝♦♥❝❧✉s✐♦♥✳ ④ ■❢ ♥ ❂ ✵ ✭♥♦ ♣r❡♠✐s❡✮✱ t❤❡ ✐♥❢❡r❡♥❝❡ r✉❧❡ ✐s ❛♥ ❛①✐♦♠✳

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SLIDE 8

◆❛t✉r❛❧ ❞❡❞✉❝t✐♦♥

  • ❡♥❡r❛❧ ❢♦r♠ ♦❢ ✐♥❢❡r❡♥❝❡ r✉❧❡s✿

P✶ P✷ ✿ ✿ ✿ P♥ P✵ ❋♦r ❡❛❝❤ ❝♦♥♥❡❝t✐✈❡ ✭❫✱ ❴✱ ✳ ✳ ✳ ✮ t✇♦ ❦✐♥❞s ♦❢ r✉❧❡s✳ ■♥tr♦❞✉❝t✐♦♥ r✉❧❡s✿ ④ ❈♦♥♥❡❝t✐✈❡ ❛♣♣❡❛rs ✐♥ t❤❡ ❝♦♥❝❧✉s✐♦♥ P✵✳ ④ ✧❍♦✇ t♦ ❡st❛❜✐s❤ ❛ ♣r♦♦❢❄✧ ❊❧✐♠✐♥❛t✐♦♥ r✉❧❡s✿ ④ ❈♦♥♥❡❝t✐✈❡ ❛♣♣❡❛rs ✐♥ ❛ ♣r❡♠✐s P✐✳ ④ ✧❍♦✇ t♦ ❡①♣❧♦✐t ❛♥ ❡①✐st✐♥❣ ♣r♦♦❢❄✧ ◆♦t❡✿ ❯s✉❛❧❧② ❛ ❝♦♥♥❡❝t✐✈❡ ❤❛s ❛ s✐♥❣❧❡ ✐♥tr♦❞✉❝t✐♦♥ ❛♥❞ ❛ s✐♥❣❧❡ ❡❧✐♠✐♥❛t✐♦♥ r✉❧❡✱ ❜✉t s♦♠❡ ❝♦♥♥❡❝t✐✈❡s ♠❛② ❤❛✈❡ s❡✈❡r❛❧ r✉❧❡s ♦❢ t❤❡ s❛♠❡ ❦✐♥❞ ♦r ♥♦ r✉❧❡s ♦❢ ❝❡rt❛✐♥ ❦✐♥❞✳

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SLIDE 9

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P

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SLIDE 10

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ✐♠♣❧✐❝❛t✐♦♥✿ ④ ■♥tr♦❞✉❝t✐♦♥✿ P✶

✳ ✳ ✳ ✳ P✷ P✶ ✛ P✷

✛I①

④ ❊❧✐♠✐♥❛t✐♦♥✿ P✶ ✛ P✷ P✶ P✷

✛E

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SLIDE 11

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ❝♦♥❥✉♥❝t✐♦♥✿ ④ ■♥tr♦❞✉❝t✐♦♥✿ P✶ P✷ P✶ ❫ P✷

❫I

④ ❊❧✐♠✐♥❛t✐♦♥✿ P✶ ❫ P✷ P✶

❫E▲

P✶ ❫ P✷ P✷

❫E❘

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SLIDE 12

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ❞✐s❥✉♥❝t✐♦♥✿ ④ ■♥tr♦❞✉❝t✐♦♥✿ P✶ P✶ ❴ P✷

❴I▲

P✷ P✶ ❴ P✷

❴I❘

④ ❊❧✐♠✐♥❛t✐♦♥✿ P✶ ❴ P✷ P✶

✳ ✳ ✳ ✳ P✵ P✷

✳ ✳ ✳ ✳ P✵ P✵

❴E①❀②

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SLIDE 13

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r tr✉t❤ ❛♥❞ ❢❛❧s❡❤♦♦❞✿ ④ ■♥tr♦❞✉❝t✐♦♥✿ ❃

❃I

④ ❊❧✐♠✐♥❛t✐♦♥✿ ❄ P

❄E

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SLIDE 14

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r tr✉t❤ ❛♥❞ ❢❛❧s❡❤♦♦❞✿ ④ ■♥tr♦❞✉❝t✐♦♥✿ ❃

❃I

④ ❊❧✐♠✐♥❛t✐♦♥✿ ❄ P

❄E

④ ❚r✉t❤ ❝❛♥ ❜❡ ❞❡☞♥❡❞ ❛s ❛ ✧s②♥t❛❝t✐❝ s✉❣❛r✧✿ ❃ ✑ ❄ ✛ ❄

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SLIDE 15

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ♥❡❣❛t✐♦♥✿ ④ ■♥tr♦❞✉❝t✐♦♥✿ P

✳ ✳ ✳ ✳ ❄ ✿P

✿I①

④ ❊❧✐♠✐♥❛t✐♦♥✿ ✿P P ❄

✿E

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SLIDE 16

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ♥❡❣❛t✐♦♥✿ ④ ■♥tr♦❞✉❝t✐♦♥✿ P

✳ ✳ ✳ ✳ ❄ ✿P

✿I①

④ ❊❧✐♠✐♥❛t✐♦♥✿ ✿P P ❄

✿E

④ ◆❡❣❛t✐♦♥ ❝❛♥ ❜❡ ❞❡☞♥❡❞ ❛s ❛ ✧s②♥t❛❝t✐❝ s✉❣❛r✧✿ ✿P ✑ P ✛ ❄

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SLIDE 17

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ❆ ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P Pr❡s❡♥t❡❞ r✉❧❡s ❣✐✈❡ ✐♥t✉✐t✐♦♥✐st✐❝ ♣r♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝ IPC✳ ❙♦♠❡t✐♠❡s ✇❡ ♠❛② ✉s❡ s♠❛❧❧❡r ❢r❛❣♠❡♥ts✿ ④ ❙②st❡♠ ✇✐t❤♦✉t t❤❡ ❄E r✉❧❡ ✐s ♠✐♥✐♠❛❧ ♣r♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝ ◆❉✭✛❀ ❫❀ ❴✮✳ ④ ❙②st❡♠ ✇✐t❤ ♦♥❧② ✐♠♣❧✐❝❛t✐♦♥ r✉❧❡s ✭✐♠♣❧✐❝❛t✐♦♥❛❧ ❢r❛❣✲ ♠❡♥t✮ ◆❉✭✛✮✳ ❈❧❛ss✐❝❛❧ ♣r♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝ ❝❛♥ ❜❡ ♦❜t❛✐♥❡❞ ❜② ❛❞❞✐♥❣ t❤❡ ❞♦✉❜❧❡ ♥❡❣❛t✐♦♥ ❡❧✐♠✐♥❛t✐♦♥ r✉❧❡✿ ✿✿P P

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SLIDE 18

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ❆ ❫ ❇ ✛ ❇ ❫ ❆

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SLIDE 19

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ❆ ❫ ❇ ✛ ❇ ❫ ❆ ❇ ❫ ❆

✛I①

❆ ❫ ❇

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SLIDE 20

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ❆ ❫ ❇ ✛ ❇ ❫ ❆ ❇ ❫ ❆

✛I①

❇ ❆ ❆ ❫ ❇

❆ ❫ ❇

① ❫I

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SLIDE 21

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ❆ ❫ ❇ ✛ ❇ ❫ ❆ ❇ ❫ ❆

✛I①

❇ ❆ ❆ ❫ ❇

❆ ❫ ❇

① ❫I ❫E❘ ❫E▲

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SLIDE 22

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮ ✛ ❆ ✛ ✭❇ ❫ ❈✮

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SLIDE 23

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮ ✛ ❆ ✛ ✭❇ ❫ ❈✮ ❆ ✛ ✭❇ ❫ ❈✮

✛I①

✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮

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SLIDE 24

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮ ✛ ❆ ✛ ✭❇ ❫ ❈✮ ❆ ✛ ✭❇ ❫ ❈✮

✛I①

❇ ❫ ❈

✛I②

✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮

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SLIDE 25

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮ ✛ ❆ ✛ ✭❇ ❫ ❈✮ ❆ ✛ ✭❇ ❫ ❈✮

✛I①

❇ ❫ ❈

✛I②

❇ ❈

❫I

✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮

✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮

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SLIDE 26

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮ ✛ ❆ ✛ ✭❇ ❫ ❈✮ ❆ ✛ ✭❇ ❫ ❈✮

✛I①

❇ ❫ ❈

✛I②

❇ ❈

❫I

✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮

✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮

❆ ✛ ❇ ❆ ✛ ❈

✛E ✛E

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SLIDE 27

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮ ✛ ❆ ✛ ✭❇ ❫ ❈✮ ❆ ✛ ✭❇ ❫ ❈✮

✛I①

❇ ❫ ❈

✛I②

❇ ❈

❫I

✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮

✭❆ ✛ ❇✮ ❫ ✭❆ ✛ ❈✮

❆ ✛ ❇ ❆ ✛ ❈

✛E ✛E ❫E▲ ❫E❘

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SLIDE 28

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✸✮✿ ❆ ✛ ❇ ✛ ❇

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SLIDE 29

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✸✮✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇ ✭❇ ✛ ❇✮ ✛ ❆ ✛ ❇ ✛ ❇

✛E

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SLIDE 30

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✸✮✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇ ✭❇ ✛ ❇✮ ✛ ❆ ✛ ❇ ✛ ❇

✛E

✛I①

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SLIDE 31

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✸✮✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇ ✭❇ ✛ ❇✮ ✛ ❆ ✛ ❇ ✛ ❇

✛E

✛I① ①

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SLIDE 32

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✸✮✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇ ✭❇ ✛ ❇✮ ✛ ❆ ✛ ❇ ✛ ❇

✛E

✛I① ①

❆ ✛ ❇ ✛ ❇

✛I②

❇ ✛ ❇

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SLIDE 33

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✸✮✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇ ✭❇ ✛ ❇✮ ✛ ❆ ✛ ❇ ✛ ❇

✛E

✛I① ①

❆ ✛ ❇ ✛ ❇

✛I②

❇ ✛ ❇

❇ ✛ ❇

✛I③

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SLIDE 34

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✸✮✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇ ✭❇ ✛ ❇✮ ✛ ❆ ✛ ❇ ✛ ❇

✛E

✛I① ①

❆ ✛ ❇ ✛ ❇

✛I②

❇ ✛ ❇

✛I③ ②

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SLIDE 35

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ✭✸✮ ⑤ ❛❧t❡r♥❛t✐✈❡ ♣r♦♦❢✿ ❆ ✛ ❇ ✛ ❇

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SLIDE 36

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ✭✸✮ ⑤ ❛❧t❡r♥❛t✐✈❡ ♣r♦♦❢✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇

✛I①

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SLIDE 37

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ✭✸✮ ⑤ ❛❧t❡r♥❛t✐✈❡ ♣r♦♦❢✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇

✛I①

✛I②

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SLIDE 38

Pr♦♣♦s✐t✐♦♥❛❧ ❧♦❣✐❝

❊①❛♠♣❧❡ ✭✸✮ ⑤ ❛❧t❡r♥❛t✐✈❡ ♣r♦♦❢✿ ❆ ✛ ❇ ✛ ❇ ❇ ✛ ❇

✛I①

✛I② ②

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SLIDE 39

Pr♦♦❢ ♥♦r♠❛❧✐③❛t✐♦♥

❚❤❡♦r❡♠✿ ❊✈❡r② ♣r♦✈❛❜❧❡ ♣r♦♣♦s✐t✐♦♥ ❤❛s ❛ ♥♦r♠❛❧ ♣r♦♦❢✳

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SLIDE 40

Pr♦♦❢ ♥♦r♠❛❧✐③❛t✐♦♥

❚❤❡♦r❡♠✿ ❊✈❡r② ♣r♦✈❛❜❧❡ ♣r♦♣♦s✐t✐♦♥ ❤❛s ❛ ♥♦r♠❛❧ ♣r♦♦❢✳ ◆♦r♠❛❧✐③❛t✐♦♥ r✉❧❡s ⑤ ✐♠♣❧✐❝❛t✐♦♥✿ ✳ ✳ ✳ ✳ ✝ ❙ ❙ ✳ ✳ ✳ ✳ ✆ P ❙ ✛ P P ✦ ✳ ✳ ✳ ✳ ✝ ❙ ✳ ✳ ✳ ✳ ✆ P

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SLIDE 41

Pr♦♦❢ ♥♦r♠❛❧✐③❛t✐♦♥

❚❤❡♦r❡♠✿ ❊✈❡r② ♣r♦✈❛❜❧❡ ♣r♦♣♦s✐t✐♦♥ ❤❛s ❛ ♥♦r♠❛❧ ♣r♦♦❢✳ ◆♦r♠❛❧✐③❛t✐♦♥ r✉❧❡s ⑤ ❝♦♥❥✉♥❝t✐♦♥✿ ✳ ✳ ✳ ✳ ✝ P✶ ✳ ✳ ✳ ✳ ✆ P✷ P✶ ❫ P✷ P✶ ✦ ✳ ✳ ✳ ✳ ✝ P✶

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SLIDE 42

Pr♦♦❢ ♥♦r♠❛❧✐③❛t✐♦♥

❚❤❡♦r❡♠✿ ❊✈❡r② ♣r♦✈❛❜❧❡ ♣r♦♣♦s✐t✐♦♥ ❤❛s ❛ ♥♦r♠❛❧ ♣r♦♦❢✳ ◆♦r♠❛❧✐③❛t✐♦♥ r✉❧❡s ⑤ ❞✐s❥✉♥❝t✐♦♥✿ ✳ ✳ ✳ ✳ ✂ P✶ P✶ ❴ P✷ P✶ ✳ ✳ ✳ ✳ ✝ ❙ P✷ ✳ ✳ ✳ ✳ ✆ ❙ ❙ ✦ ✳ ✳ ✳ ✳ ✂ P✶ ✳ ✳ ✳ ✳ ✝ ❙

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SLIDE 43

❈✉rr②✲❍♦✇❛r❞ ✐s♦♠♦r♣❤✐s♠

❚❤❡♦r❡♠✿ ✭✐✮ ■❢ ❵ ▼ ✿ ✬ ✐♥ ✕✭✦❀ ✂❀ ✰✮✱ t❤❡♥ ❥❥ ❵ ✬ ✐♥ ◆❉✭✛❀ ❫❀ ❴✮✱ ✇❤❡r❡ ❥❥ ❂ ❢✬ ❥ ✭① ✿ ✬✮ ✷ ❣✳ ✭✐✐✮ ■❢ ❵ ✬ ✐♥ ◆❉✭✛❀ ❫❀ ❴✮✱ t❤❡♥ t❤❡r❡ ❡①✐sts ❛ t❡r♠ ▼ ✐♥ ✕✭✦❀ ✂❀ ✰✮✱ s✳t✳ ✁ ❵ ▼ ✿ ✬✱ ✇❤❡r❡ ✁ ❂ ❢①✬ ✿ ✬ ❥ ✬ ✷ ❣✳

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SLIDE 44

❈✉rr②✲❍♦✇❛r❞ ✐s♦♠♦r♣❤✐s♠

❚❤❡♦r❡♠✿ ✭✐✮ ■❢ ❵ ▼ ✿ ✬ ✐♥ ✕✭✦❀ ✂❀ ✰✮✱ t❤❡♥ ❥❥ ❵ ✬ ✐♥ ◆❉✭✛❀ ❫❀ ❴✮✱ ✇❤❡r❡ ❥❥ ❂ ❢✬ ❥ ✭① ✿ ✬✮ ✷ ❣✳ ✭✐✐✮ ■❢ ❵ ✬ ✐♥ ◆❉✭✛❀ ❫❀ ❴✮✱ t❤❡♥ t❤❡r❡ ❡①✐sts ❛ t❡r♠ ▼ ✐♥ ✕✭✦❀ ✂❀ ✰✮✱ s✳t✳ ✁ ❵ ▼ ✿ ✬✱ ✇❤❡r❡ ✁ ❂ ❢①✬ ✿ ✬ ❥ ✬ ✷ ❣✳ ❈✉rr②✲❍♦✇❛r❞ ❝♦rr❡s♣♦♥❞❡♥❝❡✿ Pr♦♣♦s✐t✐♦♥ ❚②♣❡ ❄ ❱♦✐❞ ❃ ❯♥✐t ❆ ✛ ❇ ❆ ✦ ❇ ❆ ❫ ❇ ❆ ✂ ❇ ❆ ❴ ❇ ❆ ✰ ❇

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SLIDE 45

❈✉rr②✲❍♦✇❛r❞ ✐s♦♠♦r♣❤✐s♠

❚❤❡♦r❡♠✿ ✭✐✮ ■❢ ❵ ▼ ✿ ✬ ✐♥ ✕✭✦❀ ✂❀ ✰✮✱ t❤❡♥ ❥❥ ❵ ✬ ✐♥ ◆❉✭✛❀ ❫❀ ❴✮✱ ✇❤❡r❡ ❥❥ ❂ ❢✬ ❥ ✭① ✿ ✬✮ ✷ ❣✳ ✭✐✐✮ ■❢ ❵ ✬ ✐♥ ◆❉✭✛❀ ❫❀ ❴✮✱ t❤❡♥ t❤❡r❡ ❡①✐sts ❛ t❡r♠ ▼ ✐♥ ✕✭✦❀ ✂❀ ✰✮✱ s✳t✳ ✁ ❵ ▼ ✿ ✬✱ ✇❤❡r❡ ✁ ❂ ❢①✬ ✿ ✬ ❥ ✬ ✷ ❣✳ ❈✉rr②✲❍♦✇❛r❞ ❝♦rr❡s♣♦♥❞❡♥❝❡✿ ■♥t✉✐t✐♦♥✐st✐❝ ❧♦❣✐❝ ❚②♣❡❞ ✕✲❝❛❧❝✉❧✉s Pr♦♣♦s✐t✐♦♥ ❚②♣❡ Pr♦♣♦s✐t✐♦♥❛❧ ✈❛r✐❛❜❧❡ ❚②♣❡ ✈❛r✐❛❜❧❡ Pr♦♦❢ ❚❡r♠ ❍②♣♦t❤❡s✐s ❚❡r♠ ✈❛r✐❛❜❧❡ ▲♦❣✐❝❛❧ ❝♦♥♥❡❝t✐✈❡ ❚②♣❡ ❝♦♥str✉❝t♦r Pr♦✈❛❜✐❧✐t② ❚②♣❡ ✐♥❤❛❜✐t❛t✐♦♥ Pr♦♦❢ ♥♦r♠❛❧✐③❛t✐♦♥ ❘❡❞✉❝t✐♦♥

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SLIDE 46

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❙②♥t❛①✿ t ✿✿❂ ✈ ❥ ❢✭t❀ ✿ ✿ ✿ ❀ t✮ t❡r♠s ✭❛t♦♠✐❝ ❢♦r♠✉❧❛s✮ P ✿✿❂ ◗✭t❀ ✿ ✿ ✿ ❀ t✮ ❛t♦♠✐❝ ♣r❡❞✐❝❛t❡s ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ❥ ✽✈✿P ❥ ✾✈✿P ✶st✲♦r❞❡r q✉❛♥t✐☞❡rs

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SLIDE 47

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❙②♥t❛①✿ t ✿✿❂ ✈ ❥ ❢✭t❀ ✿ ✿ ✿ ❀ t✮ t❡r♠s ✭❛t♦♠✐❝ ❢♦r♠✉❧❛s✮ P ✿✿❂ ◗✭t❀ ✿ ✿ ✿ ❀ t✮ ❛t♦♠✐❝ ♣r❡❞✐❝❛t❡s ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ❥ ✽✈✿P ❥ ✾✈✿P ✶st✲♦r❞❡r q✉❛♥t✐☞❡rs ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ✉♥✐✈❡rs❛❧ q✉❛♥t✐☞❝❛t✐♦♥✿ P❬✈ ✼✦ ✇❪ ✽✈✿P

✽✶I❄

✽✈✿P P❬✈ ✼✦ t❪

✽✶E

❄ ✈❛r✐❛❜❧❡ ✇ ✐♥ ✽✶I ♠✉st ❜❡ ❢r❡s❤✦

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SLIDE 48

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❙②♥t❛①✿ t ✿✿❂ ✈ ❥ ❢✭t❀ ✿ ✿ ✿ ❀ t✮ t❡r♠s ✭❛t♦♠✐❝ ❢♦r♠✉❧❛s✮ P ✿✿❂ ◗✭t❀ ✿ ✿ ✿ ❀ t✮ ❛t♦♠✐❝ ♣r❡❞✐❝❛t❡s ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ❥ ✽✈✿P ❥ ✾✈✿P ✶st✲♦r❞❡r q✉❛♥t✐☞❡rs ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ❡①✐st❡♥t✐❛❧ q✉❛♥t✐☞❝❛t✐♦♥✿ P❬✈ ✼✦ t❪ ✾✈✿P

✾✶I

✾✈✿P✶ P✶❬✈ ✼✦ ✇❪

✳ ✳ ✳ ✳ P✵ P✵

✾✶E①❄

❄ ✈❛r✐❛❜❧❡ ✇ ✐♥ ✾✶E① ♠✉st ❜❡ ❢r❡s❤✦

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SLIDE 49

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ✭✾✉✿✽✈✿◗✭✉❀ ✈✮✮ ✛ ✽✈✿✾✉✿◗✭✉❀ ✈✮

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SLIDE 50

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ✭✾✉✿✽✈✿◗✭✉❀ ✈✮✮ ✛ ✽✈✿✾✉✿◗✭✉❀ ✈✮

✛I①

✽✈✿✾✉✿◗✭✉❀ ✈✮ ✾✉✿✽✈✿◗✭✉❀ ✈✮

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SLIDE 51

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ✭✾✉✿✽✈✿◗✭✉❀ ✈✮✮ ✛ ✽✈✿✾✉✿◗✭✉❀ ✈✮

✛I①

✽✈✿✾✉✿◗✭✉❀ ✈✮ ✾✉✿✽✈✿◗✭✉❀ ✈✮

① ✽✶I

✾✉✿◗✭✉❀ ✈✵✮

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SLIDE 52

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ✭✾✉✿✽✈✿◗✭✉❀ ✈✮✮ ✛ ✽✈✿✾✉✿◗✭✉❀ ✈✮

✛I①

✽✈✿✾✉✿◗✭✉❀ ✈✮ ✾✉✿✽✈✿◗✭✉❀ ✈✮

① ✽✶I

✾✉✿◗✭✉❀ ✈✵✮

✾✶E②

✾✉✿◗✭✉❀ ✈✵✮ ✽✈✿◗✭✉✵❀ ✈✮

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SLIDE 53

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ✭✾✉✿✽✈✿◗✭✉❀ ✈✮✮ ✛ ✽✈✿✾✉✿◗✭✉❀ ✈✮

✛I①

✽✈✿✾✉✿◗✭✉❀ ✈✮ ✾✉✿✽✈✿◗✭✉❀ ✈✮

① ✽✶I

✾✉✿◗✭✉❀ ✈✵✮

✾✶E②

✾✉✿◗✭✉❀ ✈✵✮ ✽✈✿◗✭✉✵❀ ✈✮

② ✾✶I

◗✭✉✵❀ ✈✵✮

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SLIDE 54

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✶✮✿ ✭✾✉✿✽✈✿◗✭✉❀ ✈✮✮ ✛ ✽✈✿✾✉✿◗✭✉❀ ✈✮

✛I①

✽✈✿✾✉✿◗✭✉❀ ✈✮ ✾✉✿✽✈✿◗✭✉❀ ✈✮

① ✽✶I

✾✉✿◗✭✉❀ ✈✵✮

✾✶E②

✾✉✿◗✭✉❀ ✈✵✮ ✽✈✿◗✭✉✵❀ ✈✮

② ✾✶I

◗✭✉✵❀ ✈✵✮

✽✶E

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SLIDE 55

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭✾✈✿◗✭✈✮✮ ✛ ✿✽✈✿✿◗✭✈✮

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SLIDE 56

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭✾✈✿◗✭✈✮✮ ✛ ✿✽✈✿✿◗✭✈✮

✛I①

✿✽✈✿✿◗✭✈✮ ✾✈✿◗✭✈✮

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SLIDE 57

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭✾✈✿◗✭✈✮✮ ✛ ✿✽✈✿✿◗✭✈✮

✛I①

✿✽✈✿✿◗✭✈✮ ✾✈✿◗✭✈✮

① ✿I②

❄ ✽✈✿✿◗✭✈✮

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SLIDE 58

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭✾✈✿◗✭✈✮✮ ✛ ✿✽✈✿✿◗✭✈✮

✛I①

✿✽✈✿✿◗✭✈✮ ✾✈✿◗✭✈✮

① ✿I②

❄ ✽✈✿✿◗✭✈✮

② ✾✶E③

❄ ◗✭✈✵✮

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SLIDE 59

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭✾✈✿◗✭✈✮✮ ✛ ✿✽✈✿✿◗✭✈✮

✛I①

✿✽✈✿✿◗✭✈✮ ✾✈✿◗✭✈✮

① ✿I②

❄ ✽✈✿✿◗✭✈✮

② ✾✶E③

❄ ◗✭✈✵✮

③ ✿E

✿◗✭✈✵✮

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SLIDE 60

❋✐rst✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❊①❛♠♣❧❡ ♣r♦♦❢ ✭✷✮✿ ✭✾✈✿◗✭✈✮✮ ✛ ✿✽✈✿✿◗✭✈✮

✛I①

✿✽✈✿✿◗✭✈✮ ✾✈✿◗✭✈✮

① ✿I②

❄ ✽✈✿✿◗✭✈✮

② ✾✶E③

❄ ◗✭✈✵✮

③ ✿E

✿◗✭✈✵✮

✽✶E

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SLIDE 61

❙❡❝♦♥❞✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ◗✭t❀ ✿ ✿ ✿ ❀ t✮ ❛t♦♠✐❝ ♣r❡❞✐❝❛t❡s ❥ ❳✭t❀ ✿ ✿ ✿ ❀ t✮ ♣r♦♣♦s✐t✐♦♥❛❧ ✈❛r✐❛❜❧❡s ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ❥ ✽✈✿P ❥ ✾✈✿P ✶st✲♦r❞❡r q✉❛♥t✐☞❡rs ❥ ✽❳✿P ❥ ✾❳✿P ✷♥❞✲♦r❞❡r q✉❛♥t✐☞❡rs

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SLIDE 62

❙❡❝♦♥❞✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ◗✭t❀ ✿ ✿ ✿ ❀ t✮ ❛t♦♠✐❝ ♣r❡❞✐❝❛t❡s ❥ ❳✭t❀ ✿ ✿ ✿ ❀ t✮ ♣r♦♣♦s✐t✐♦♥❛❧ ✈❛r✐❛❜❧❡s ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ❥ ✽✈✿P ❥ ✾✈✿P ✶st✲♦r❞❡r q✉❛♥t✐☞❡rs ❥ ✽❳✿P ❥ ✾❳✿P ✷♥❞✲♦r❞❡r q✉❛♥t✐☞❡rs ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ✉♥✐✈❡rs❛❧ q✉❛♥t✐☞❝❛t✐♦♥✿ P❬❳ ✼✦ ❨ ❪ ✽❳✿P

✽✷I❄

✽❳✿P✵ P✵❬❳ ✼✦ P✶❪

✽✷E

❄ ✈❛r✐❛❜❧❡ ❨ ✐♥ ✽✷I ♠✉st ❜❡ ❢r❡s❤✦

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SLIDE 63

❙❡❝♦♥❞✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ◗✭t❀ ✿ ✿ ✿ ❀ t✮ ❛t♦♠✐❝ ♣r❡❞✐❝❛t❡s ❥ ❳✭t❀ ✿ ✿ ✿ ❀ t✮ ♣r♦♣♦s✐t✐♦♥❛❧ ✈❛r✐❛❜❧❡s ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ❥ ✽✈✿P ❥ ✾✈✿P ✶st✲♦r❞❡r q✉❛♥t✐☞❡rs ❥ ✽❳✿P ❥ ✾❳✿P ✷♥❞✲♦r❞❡r q✉❛♥t✐☞❡rs ■♥❢❡r❡♥❝❡ r✉❧❡s ❢♦r ❡①✐st❡♥t✐❛❧ q✉❛♥t✐☞❝❛t✐♦♥✿ P✵❬❳ ✼✦ P✶❪ ✾❳✿P✵

✾✷I

✾❳✿P✶ P✶❬❳ ✼✦ ❨ ❪

✳ ✳ ✳ ✳ P✵ P✵

✾✷E①❄

❄ ✈❛r✐❛❜❧❡ ❨ ✐♥ ✾✷E① ♠✉st ❜❡ ❢r❡s❤✦

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SLIDE 64

❙❡❝♦♥❞✲♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝

❙②♥t❛①✿ P ✿✿❂ ◗✭t❀ ✿ ✿ ✿ ❀ t✮ ❛t♦♠✐❝ ♣r❡❞✐❝❛t❡s ❥ ❳✭t❀ ✿ ✿ ✿ ❀ t✮ ♣r♦♣♦s✐t✐♦♥❛❧ ✈❛r✐❛❜❧❡s ❥ P ✛ P ❥ P ❫ P ❥ P ❴ P ❥ ❃ ❥ ❄ ❥ ✿P ❥ ✽✈✿P ❥ ✾✈✿P ✶st✲♦r❞❡r q✉❛♥t✐☞❡rs ❥ ✽❳✿P ❥ ✾❳✿P ✷♥❞✲♦r❞❡r q✉❛♥t✐☞❡rs ■♥ s❡❝♦♥❞ ♦r❞❡r ♣r❡❞✐❝❛t❡ ❧♦❣✐❝ ❛❧❧ ♦t❤❡r ❝♦♥♥❡❝t✐✈❡s ❛r❡ ❞❡✲ ☞♥❛❜❧❡ ✈✐❛ ✐♠♣❧✐❝❛t✐♦♥ ❛♥❞ ✉♥✐✈❡rs❛❧ q✉❛♥t✐☞❝❛t✐♦♥✳ ❄ ✑ ✽❳✿❳ P✶ ❫ P✷ ✑ ✽❳✿✭P✶ ✛ P✷ ✛ ❳✮ ✛ ❳ P✶ ❴ P✷ ✑ ✽❳✿✭P✶ ✛ ❳✮ ✛ ✭P✷ ✛ ❳✮ ✛ ❳ ✾✈✿P ✑ ✽❳✿✭✽✈✿P ✛ ❳✮ ✛ ❳ ✾❳✿P ✑ ✽❨✿✭✽❳✿P ✛ ❨ ✮ ✛ ❨