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  1. ■♥❞✉str✐❛❧ ❈♦♥t❡①t ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ▼❛❦✐♥❣ ♦✐❧ ❢r♦♠ r♦❝❦s ❚✳ ❇♦✐❧❧❡t ▼✳ ▼♦❧❧❡t ❉✳ ◆♦❤✐❧❡ ❊◆❙❊❊■❍❚ ❋❧✉✐❞ ▼❡❝❤❛♥✐❝s ❉❡♣❛rt♠❡♥t ❇❊■✱ ✷✵✶✵ ✶✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  2. ■♥❞✉str✐❛❧ ❈♦♥t❡①t ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ❙✉♠♠❛r② ■♥❞✉str✐❛❧ ❈♦♥t❡①t ✶ P❡tr♦❧❡✉♠ ✐♥❞✉str② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ✷ ●♦❛❧ ❛♥❞ str❛t❡❣② ❘❡s❡r✈♦✐r ❞❡s✐❣♥ ❈❤❡♠✐❝❛❧ r❡❛❝t✐♦♥ ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ✸ ❘❡❛❝t♦r s❝❛❧❡ ❋✐❡❧❞ s❝❛❧❡ s❡❝t✐♦♥ ❋✐❡❧❞ s❝❛❧❡ ✉♣♣❡r ✈✐❡✇ ✷✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  3. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ▲✐❣♥❡s ❞✐r❡❝tr✐❝❡s ■♥❞✉str✐❛❧ ❈♦♥t❡①t ✶ P❡tr♦❧❡✉♠ ✐♥❞✉str② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ✷ ●♦❛❧ ❛♥❞ str❛t❡❣② ❘❡s❡r✈♦✐r ❞❡s✐❣♥ ❈❤❡♠✐❝❛❧ r❡❛❝t✐♦♥ ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ✸ ❘❡❛❝t♦r s❝❛❧❡ ❋✐❡❧❞ s❝❛❧❡ s❡❝t✐♦♥ ❋✐❡❧❞ s❝❛❧❡ ✉♣♣❡r ✈✐❡✇ ✸✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  4. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ❆ ❜♦♦♠ ✐♥ ♦✐❧ ❞❡♠❛♥❞ ❍②❞r♦❝❛r❜♦♥ ❞❡♠❛♥❞ ❝♦♥t✐♥✉❡s t♦ ✐♥❝r❡❛s❡ ✹✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  5. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ❖✐❧ ♣r♦❞✉❝t✐♦♥ ❛t ❛ ♣❡❛❦ ❙✉♣♣❧② ✐s ♣❡❛❦✐♥❣ ❛t ❧❡❛st ❢♦r ♥♦♥ ❖P❊❈ ❝♦✉♥tr✐❡s ✺✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  6. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ❋❛❝ts ❖✐❧ ❞❡♠❛♥❞ ✐♥❝r❡❛s✐♥❣ ✶✳✺ ✪ ♣❡r ②❡❛r ❣r♦✇t❤ ❢♦r ❧✐q✉✐❞s ✸ ✪ ♣❡r ②❡❛r ❣r♦✇t❤ ❢♦r ❣❛s ❖✐❧ ♣r♦❞✉❝t✐♦♥ ❛t ❛ ♣❡❛❦ ❇❡t✇❡❡♥ ✷✵✶✵ ❛♥❞ ✷✵✷✵ ❢♦r ❧✐q✉✐❞s ❇❡t✇❡❡♥ ✷✵✶✺ ❛♥❞ ✷✵✷✺ ❢♦r ❣❛s ❉✐✣❝✉❧t✐❡s t♦ ♠❛t❝❤ ❞❡♠❛♥❞ ✐♥ ✺ t♦ ✶✺ ②❡❛rs ❢r♦♠ ♥♦✇✳ ❚❡❝❤♥♦❧♦❣② ✇✐❧❧ ❜❡ ❛ ❦❡② t♦ ❛❝❝❡ss ✉♥❝♦♥✈❡♥t✐♦♥♥❛❧ r❡s♦✉r❝❡s ✻✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  7. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ❋❛❝ts ❖✐❧ ❞❡♠❛♥❞ ✐♥❝r❡❛s✐♥❣ ✶✳✺ ✪ ♣❡r ②❡❛r ❣r♦✇t❤ ❢♦r ❧✐q✉✐❞s ✸ ✪ ♣❡r ②❡❛r ❣r♦✇t❤ ❢♦r ❣❛s ❖✐❧ ♣r♦❞✉❝t✐♦♥ ❛t ❛ ♣❡❛❦ ❇❡t✇❡❡♥ ✷✵✶✵ ❛♥❞ ✷✵✷✵ ❢♦r ❧✐q✉✐❞s ❇❡t✇❡❡♥ ✷✵✶✺ ❛♥❞ ✷✵✷✺ ❢♦r ❣❛s ❉✐✣❝✉❧t✐❡s t♦ ♠❛t❝❤ ❞❡♠❛♥❞ ✐♥ ✺ t♦ ✶✺ ②❡❛rs ❢r♦♠ ♥♦✇✳ ❚❡❝❤♥♦❧♦❣② ✇✐❧❧ ❜❡ ❛ ❦❡② t♦ ❛❝❝❡ss ✉♥❝♦♥✈❡♥t✐♦♥♥❛❧ r❡s♦✉r❝❡s ✻✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  8. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ❋❛❝ts ❖✐❧ ❞❡♠❛♥❞ ✐♥❝r❡❛s✐♥❣ ✶✳✺ ✪ ♣❡r ②❡❛r ❣r♦✇t❤ ❢♦r ❧✐q✉✐❞s ✸ ✪ ♣❡r ②❡❛r ❣r♦✇t❤ ❢♦r ❣❛s ❖✐❧ ♣r♦❞✉❝t✐♦♥ ❛t ❛ ♣❡❛❦ ❇❡t✇❡❡♥ ✷✵✶✵ ❛♥❞ ✷✵✷✵ ❢♦r ❧✐q✉✐❞s ❇❡t✇❡❡♥ ✷✵✶✺ ❛♥❞ ✷✵✷✺ ❢♦r ❣❛s ❉✐✣❝✉❧t✐❡s t♦ ♠❛t❝❤ ❞❡♠❛♥❞ ✐♥ ✺ t♦ ✶✺ ②❡❛rs ❢r♦♠ ♥♦✇✳ ❚❡❝❤♥♦❧♦❣② ✇✐❧❧ ❜❡ ❛ ❦❡② t♦ ❛❝❝❡ss ✉♥❝♦♥✈❡♥t✐♦♥♥❛❧ r❡s♦✉r❝❡s ✻✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  9. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ▲✐❣♥❡s ❞✐r❡❝tr✐❝❡s ■♥❞✉str✐❛❧ ❈♦♥t❡①t ✶ P❡tr♦❧❡✉♠ ✐♥❞✉str② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ✷ ●♦❛❧ ❛♥❞ str❛t❡❣② ❘❡s❡r✈♦✐r ❞❡s✐❣♥ ❈❤❡♠✐❝❛❧ r❡❛❝t✐♦♥ ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ✸ ❘❡❛❝t♦r s❝❛❧❡ ❋✐❡❧❞ s❝❛❧❡ s❡❝t✐♦♥ ❋✐❡❧❞ s❝❛❧❡ ✉♣♣❡r ✈✐❡✇ ✼✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  10. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ➦ ❆P■ ❉❡❣r❡❡ ❆P■ ❖✐❧ q✉❛❧✐t② ✐s ❝❤❛r❛❝t❡r✐③❡❞ ❜② t❤❡ ❆♠❡r✐❝❛♥ ■♥st✐t✉t❡ ■♥❞✐❝❡ ❆P■ ✿ = ρ s❝ ❆P■ + ✶✸✵ ✇❛t❡r ρ s❝ ✶✹✵ ♦✐❧ ✽✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  11. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ❖✐❧ ❙❤❛❧❡ ❲♦r❧✇✐❞❡ ♣♦t❡♥t✐❛❧ ✾✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

  12. ■♥❞✉str✐❛❧ ❈♦♥t❡①t P❡tr♦❧❡✉♠ ✐♥❞✉str② ▼♦❞❡❧✐s❛t✐♦♥ ❛♥❞ str❛t❡❣② ❯♥❝♦♥✈❡♥t✐♦♥❛❧ ❘❡s♦✉r❝❡s ❙✐♠✉❧❛t✐♦♥s ❛♥❞ ❘❡s✉❧ts ❖✐❧ ❙❤❛❧❡ ♣r♦❞✉❝t✐♦♥ Pr♦❞✉❝t✐♦♥ ✐s ❞❡❝r❡❛s✐♥❣ ✇✐t❤ ❝♦♥✈❡♥t✐♦♥❛❧ r❡s♦✉r❝❡s ❝♦♥❝✉rr❡♥❝❡ ✶✵✴✺✶ ❇♦✐❧❧❡t✱ ▼♦❧❧❡t✱ ◆♦❤✐❧❡ ❚❤❡r♠❛❧ ✐♥ s✐t✉ ✉♣❣r❛❞✐♥❣

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