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rt t rts r trs Ptrs t s

  1. ◆♦♥✲❈❧❛✐r✈♦②❛♥t ❘❡❞✉❝t✐♦♥ ❆❧❣♦r✐t❤♠s ❢♦r ❍❡t❡r♦❣❡♥❡♦✉s P❧❛t❢♦r♠s ❆♥♥❡ ❇❡♥♦✐t✱ ▲♦✉✐s✲❈❧❛✉❞❡ ❈❛♥♦♥ ❛♥❞ ▲♦r✐s ▼❛r❝❤❛❧ ❊◆❙ ▲②♦♥✱ ❯♥✐✈❡rs✐té ❞❡ ❋r❛♥❝❤❡✲❈♦♠té ❘♦♠❛ ✭▲■P✮✱ ❉■❙❈ ✭❋❊▼❚❖✲❙❚✮ ❆✉❣✉st ✷✻✱ ✷✵✶✸ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✶ ✴ ✸✷

  2. ❘❡❞✉❝t✐♦♥ ❊①❛♠♣❧❡ ① ✶ ① ✷ ① ✸ ① ✹ ① ✺ � ① ✐ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✷ ✴ ✸✷

  3. ❘❡❞✉❝t✐♦♥ ❊①❛♠♣❧❡ ① ✶ ① ✷ ① ✸ ① ✹ ① ✺ � ① ✐ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✷ ✴ ✸✷

  4. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  5. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  6. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  7. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  8. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  9. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  10. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  11. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  12. ❊①❡❝✉t✐♦♥ ❊①❛♠♣❧❡ P ✺ P ✹ P ✸ P ✷ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✸ ✴ ✸✷

  13. ▼♦t✐✈❛t✐♦♥ ❲❤❛t ❛r❡ t❤❡ ♣❡r❢♦r♠❛♥❝❡ ♦❢ ❡①✐st✐♥❣ ❛❧❣♦r✐t❤♠s ✇❤❡♥ tr❛♥s❢❡rs ❛♥❞ ❝♦♠♣✉t❛t✐♦♥s ♠❛② ♦✈❡r❧❛♣ ❛♥❞ ✇❤❡♥ ❝♦sts ❛r❡ ✉♥❦♦✇♥❄ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✹ ✴ ✸✷

  14. ❖✉t❧✐♥❡ ■♥tr♦❞✉❝t✐♦♥ ▼♦❞❡❧s ❛♥❞ ❆❧❣♦r✐t❤♠s ❲♦rst✲❝❛s❡ ❆♥❛❧②s✐s ▼❛r❦♦✈ ❈❤❛✐♥ Pr♦❜❛❜✐❧✐st✐❝ ❙✐♠✉❧❛t✐♦♥s ❈♦♥❝❧✉s✐♦♥ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✺ ✴ ✸✷

  15. ❖✉t❧✐♥❡ ■♥tr♦❞✉❝t✐♦♥ ▼♦❞❡❧s ❛♥❞ ❆❧❣♦r✐t❤♠s ❲♦rst✲❝❛s❡ ❆♥❛❧②s✐s ▼❛r❦♦✈ ❈❤❛✐♥ Pr♦❜❛❜✐❧✐st✐❝ ❙✐♠✉❧❛t✐♦♥s ❈♦♥❝❧✉s✐♦♥ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✻ ✴ ✸✷

  16. ❖❜❥❡❝t✐✈❡ ❘❡❞✉❝❡ ❡✣❝✐❡♥t❧② ♥ ❡❧❡♠❡♥ts t❤❛t ❛r❡ ❛✈❛✐❧❛❜❧❡ s✐♠✉❧t❛♥❡♦✉s❧② ✭❡❛❝❤ ♦♥ ❛ ❞✐st✐♥❝t ♣r♦❝❡ss♦r✮✳ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✼ ✴ ✸✷

  17. ❊①❡❝✉t✐♦♥ ▼♦❞❡❧ ◮ ❚❤❡ r❡❞✉❝t✐♦♥ ♦♣❡r❛t✐♦♥ ✐s ❛ss♦❝✐❛t✐✈❡✳ ◮ ❊❛❝❤ ♣r♦❝❡ss♦r ❝❛♥ ♣❡r❢♦r♠ ❛ r❡❞✉❝t✐♦♥ ❛♥❞ ❛♥② ♣❛✐r ♦❢ ♣r♦❝❡ss♦rs ❝❛♥ ❝♦♠♠✉♥✐❝❛t❡✳ ◮ ❆♥② ♣r♦❝❡ss♦r ✐s ✐♥✈♦❧✈❡❞ ✐♥ ❛t ♠♦st ♦♥❡ tr❛♥s❢❡r ❛t ❛♥② t✐♠❡✳ ◮ ❈♦♠♣✉t❛t✐♦♥ ❛♥❞ tr❛♥s❢❡r ❝❛♥ ♦✈❡r❧❛♣✳ ◮ ❈♦sts ❛r❡ ❤❡t❡r♦❣❡♥❡♦✉s ❛♥❞ t❤❡ s②st❡♠ ✐s ♥♦♥✲❝❧❛✐r✈♦②❛♥t ✭ ❞ ✐ , ❥ ❢♦r t❤❡ ❝♦♠♠✉♥✐❝❛t✐♦♥ ❝♦st ❜❡t✇❡❡♥ ♣r♦❝❡ss♦r ✐ ❛♥❞ ❥ ❛♥❞ ❝ ✐ ❢♦r t❤❡ ❝♦♠♣✉t❛t✐♦♥ ❝♦st ♦❢ ♣r♦❝❡ss♦r ✐ ✮✳ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✽ ✴ ✸✷

  18. ❙❝❤❡❞✉❧✐♥❣ ◮ ❊❛❝❤ ♣r♦❝❡ss♦r r❡❞✉❝❡s ❛❧❧ ✐ts r❡❝❡✐✈❡❞ ❡❧❡♠❡♥ts ✇✐t❤ ✐ts ♦✇♥ ♣❛✐r✇✐s❡✳ ❚❤❡♥✱ ✐t s❡♥❞s t❤❡ r❡s✉❧t t♦ ❛♥♦t❤❡r ♣r♦❝❡ss♦r✳ ◮ ❙t❛t✐❝ ♦r ❞②♥❛♠✐❝ ♣❧❛♥✳ ◮ ❚❤❡ ❝♦♠♠✉♥✐❝❛t✐♦♥ str✉❝t✉r❡ ❝❛♥ ❜❡ r❡♣r❡s❡♥t❡❞ ❜② ❛ s♣❛♥♥✐♥❣ tr❡❡ ✳ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✾ ✴ ✸✷

  19. ❙♣❛♥♥✐♥❣ ❚r❡❡ ❊①❛♠♣❧❡ P ✺ P ✶ P ✹ P ✸ P ✷ P ✹ P ✷ P ✸ P ✺ P ✶ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✶✵ ✴ ✸✷

  20. ❘❡❧❛t❡❞ ❲♦r❦ ▼P■ ❈♦♥t❡①t ❘❛❜❡♥s❡✐❢♥❡r ❡t ❛❧✳ Pr♦♣♦s❡ t❤❡ ❜✉tt❡r✢② ❛❧❣♦r✐t❤♠ ❢♦r ❛rr❛② r❡❞✉❝t✐♦♥s ✭❈♦♠♣✉t❛t✐♦♥❛❧ ❙❝✐❡♥❝❡✱ ✷✵✵✹✱ ▲❡❝t✉r❡ ◆♦t❡s ✐♥ ❈♦♠♣✉t❡r ❙❝✐❡♥❝❡✱ ✷✵✵✹ ❛♥❞ ■❏❍P❈❆✱ ✷✵✵✺✮✳ ❑✐❡❧♠❛♥♥ ❡t ❛❧✳ ❙tr❛t❡❣② ❢♦r ❤✐❡r❛r❝❤✐❝❛❧ ♣❧❛t❢♦r♠s ✭▼P■❉❈✱ ✶✾✾✾✮✳ ❇♦s✐❧❝❛ ❡t ❛❧✳ ❊♠♣✐r✐❝❛❧ ❛♥❞ ❛♥❛❧②t✐❝❛❧ ❝♦♠♣❛r✐s♦♥ ♦❢ s❡✈❡r❛❧ ❡①✐st✐♥❣ ❛❧❣♦r✐t❤♠s ✭❈❧✉st❡r ❈♦♠♣✉t✐♥❣✱ ✷✵✵✼✮✳ ▼❛♣❘❡❞✉❝❡ ❈♦♥t❡①t ❆❣❛r✇❛❧ ❡t ❛❧✳ ■♠♣❧❡♠❡♥t❛t✐♦♥ ♦❢ ❆❧❧❘❡❞✉❝❡ ✉s✐♥❣ ❛ s♣❛♥♥✐♥❣ tr❡❡ ✭s✉❜♠✐tt❡❞✮✳ ❙❛♥❞✐❛ ◆❛t✐♦♥❛❧ ▲❛❜♦r❛t♦r✐❡s ▼❛♣❘❡❞✉❝❡✕▼P■ ✐♠♣❧❡♠❡♥ts ▼❛♣❘❡❞✉❝❡ ♦♥ t♦♣ ♦❢ ▼P■✳ ❍♦❡✢❡r✱ ❉♦♥❣❛rr❛ ❡t ❛❧✳ ❍✐❣❤❧✐❣❤t t❤❡ ❜❡♥❡✜ts ♦❢ ▼P■✲✸ ❢❡❛t✉r❡s ❢♦r ▼❛♣❘❡❞✉❝❡ ❛♣♣❧✐❝❛t✐♦♥s ✭❊✉r♦P❱▼✴▼P■ ✷✵✵✾✮✳ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✶✶ ✴ ✸✷

  21. ❆❧❣♦r✐t❤♠s ❖✈❡r✈✐❡✇ ❇✐♥♦♠✐❛❧✲st❛t ❛♥❞ ❋✐❜♦♥❛❝❝✐✲st❛t str❛t❡❣✐❡s ✶ ❙t❛t✐❝ ❛♣♣r♦❛❝❤❡s✱ ♦♣t✐♠❛❧ ✇✐t❤ s♣❡❝✐✜❝ ❝♦♠♣✉t❛t✐♦♥ ❛♥❞ ❝♦♠♠✉♥✐❝❛t✐♦♥ ❝♦sts✳ ❉②♥❛♠✐❝ str❛t❡❣✐❡s ❚r❡❡✲❞②♥ ❆♥② ❝♦♠♠✉♥✐❝❛t✐♦♥ st❛rts ❛s s♦♦♥ ❛s ♣♦ss✐❜❧❡✳ ◆♦♥✲❈♦♠♠✉t✲❚r❡❡✲❞②♥ ❆❞❛♣t❛t✐♦♥ ❢♦r ♥♦♥✲❝♦♠♠✉t❛t✐✈❡ ♦♣❡r❛t✐♦♥s✳ ✶ ❈❛♥♦♥✱ ✷✵✶✸ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✶✷ ✴ ✸✷

  22. ❇✐♥♦♠✐❛❧✲st❛t ▼ ✶ ❉❡✜♥✐t✐♦♥ ◮ ❆ ❜✐♥♦♠✐❛❧ tr❡❡ ♦❢ ♦r❞❡r ✵ ✐s ❛ s✐♥❣❧❡ ♥♦❞❡✳ ▼ ✷ ▼ ✸ ◮ ❆ ❜✐♥♦♠✐❛❧ tr❡❡ ♦❢ ♦r❞❡r ❦ ❝♦♥s✐sts ♦❢ ❛ ❜✐♥♦♠✐❛❧ tr❡❡ ♦❢ ♦r❞❡r ❦ − ✶ ✇❤♦s❡ s✐♥❦ ✐s t❤❡ ♣❛r❡♥t ♦❢ t❤❡ s✐♥❦ ♦❢ ❛♥♦t❤❡r ❜✐♥♦♠✐❛❧ tr❡❡ ♦❢ ♦r❞❡r ❦ − ✶✳ ▼ ✹ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✶✸ ✴ ✸✷

  23. ❇✐♥♦♠✐❛❧✲st❛t ▼ ✶ ❉❡✜♥✐t✐♦♥ ◮ ❆ ❜✐♥♦♠✐❛❧ tr❡❡ ♦❢ ♦r❞❡r ✵ ✐s ❛ s✐♥❣❧❡ ♥♦❞❡✳ ▼ ✷ ▼ ✸ ◮ ❆ ❜✐♥♦♠✐❛❧ tr❡❡ ♦❢ ♦r❞❡r ❦ ❝♦♥s✐sts ♦❢ ❛ ❜✐♥♦♠✐❛❧ tr❡❡ ♦❢ ♦r❞❡r ❦ − ✶ ✇❤♦s❡ s✐♥❦ ✐s t❤❡ ♣❛r❡♥t ♦❢ t❤❡ s✐♥❦ ♦❢ ❛♥♦t❤❡r ❜✐♥♦♠✐❛❧ tr❡❡ ♦❢ ♦r❞❡r ❦ − ✶✳ ▼ ✹ ❇❡♥♦✐t ✕ ❈❛♥♦♥ ✕ ▼❛r❝❤❛❧ ✶✸ ✴ ✸✷

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