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  1. ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❙✲❇♦① ❘❡✈❡rs❡✲❊♥❣✐♥❡❡r✐♥❣ ❘❡❝♦✈❡r✐♥❣ ❉❡s✐❣♥ ❈r✐t❡r✐❛✱ ❍✐❞❞❡♥ ❙tr✉❝t✉r❡s ❛♥❞ ◆❡✇ ❇♦♦❧❡❛♥ ❋✉♥❝t✐♦♥ ❘❡s✉❧ts ▲é♦ P❡rr✐♥ ✶ , ✷ ❆❧❡❦s❡✐ ❯❞♦✈❡♥❦♦ ✶ , ✷ ❆❧❡① ❇✐r②✉❦♦✈ ✶ ✶ ❯♥✐✈❡rs✐t② ♦❢ ▲✉①❡♠❜♦✉r❣✱ ✷ ❙♥❚ ❏❛♥✉❛r② ✶✹✱ ✷✵✶✻

  2. ❜✉t s♦♠❡t✐♠❡s ✐t✬s ♥♦t✳ ❲❤✐t❡✲❇♦① ❝r②♣t♦ ❙❡❝r❡t s❡r✈✐❝❡ ❞❡s✐❣♥❡❞ ❛❧❣♦r✐t❤♠s✳ ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❆♥ ❛❧❣♦r✐t❤♠ ❛♥❞ t❤❡ r❛t✐♦♥❛❧❡ ❜❡❤✐♥❞ ✐ts ❞❡s✐❣♥ s❤♦✉❧❞ ❜❡ ♣✉❜❧✐❝✳✳✳ ✷✴ ✹✹

  3. ❲❤✐t❡✲❇♦① ❝r②♣t♦ ❙❡❝r❡t s❡r✈✐❝❡ ❞❡s✐❣♥❡❞ ❛❧❣♦r✐t❤♠s✳ ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❆♥ ❛❧❣♦r✐t❤♠ ❛♥❞ t❤❡ r❛t✐♦♥❛❧❡ ❜❡❤✐♥❞ ✐ts ❞❡s✐❣♥ s❤♦✉❧❞ ❜❡ ♣✉❜❧✐❝✳✳✳ ❜✉t s♦♠❡t✐♠❡s ✐t✬s ♥♦t✳ ✷✴ ✹✹

  4. ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❆♥ ❛❧❣♦r✐t❤♠ ❛♥❞ t❤❡ r❛t✐♦♥❛❧❡ ❜❡❤✐♥❞ ✐ts ❞❡s✐❣♥ s❤♦✉❧❞ ❜❡ ♣✉❜❧✐❝✳✳✳ ❜✉t s♦♠❡t✐♠❡s ✐t✬s ♥♦t✳ ❲❤✐t❡✲❇♦① ❝r②♣t♦ ❙❡❝r❡t s❡r✈✐❝❡ ❞❡s✐❣♥❡❞ ❛❧❣♦r✐t❤♠s✳ ✷✴ ✹✹

  5. ✐s t❤❡ ✽ ✽ ❙✲❇♦① ♦❢ ❜♦t❤ ❑✉③♥❡❝❤✐❦ ❛♥❞ ❙tr✐❜♦❣✱ ●❖❙❚ st❛♥❞❛r❞ ❜❧♦❝❦ ❝✐♣❤❡r ❛♥❞ ❤❛s❤ ❢✉♥❝t✐♦♥ ✭❋❙❇✮ ❲ ✐s t❤❡ ✻ ✻ ❆P◆ ♣❡r♠✉t❛t✐♦♥ ❢♦✉♥❞ ❜② ❉✐❧❧♦♥ ✭◆❙❆✮ ❆❋ r ❆ ❆ ❋❡✐st❡❧ ◆❡t✇♦r❦ ✇✐t❤ ❧✐♥❡❛r ✇❤✐t❡♥✐♥❣✳ ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❖✉r ❚❛r❣❡ts ❢♦r t❤✐s ❚❛❧❦ ❋ ✐s t❤❡ ✽ × ✽ ✏❋✲❚❛❜❧❡✑ ✭❙✲❇♦①✮ ♦❢ ❙❦✐♣❥❛❝❦ ✭◆❙❆✮ ✸✴ ✹✹

  6. ❲ ✐s t❤❡ ✻ ✻ ❆P◆ ♣❡r♠✉t❛t✐♦♥ ❢♦✉♥❞ ❜② ❉✐❧❧♦♥ ✭◆❙❆✮ ❆❋ r ❆ ❆ ❋❡✐st❡❧ ◆❡t✇♦r❦ ✇✐t❤ ❧✐♥❡❛r ✇❤✐t❡♥✐♥❣✳ ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❖✉r ❚❛r❣❡ts ❢♦r t❤✐s ❚❛❧❦ ❋ ✐s t❤❡ ✽ × ✽ ✏❋✲❚❛❜❧❡✑ ✭❙✲❇♦①✮ ♦❢ ❙❦✐♣❥❛❝❦ ✭◆❙❆✮ π ✐s t❤❡ ✽ × ✽ ❙✲❇♦① ♦❢ ❜♦t❤ ❑✉③♥❡❝❤✐❦ ❛♥❞ ❙tr✐❜♦❣✱ ●❖❙❚ st❛♥❞❛r❞ ❜❧♦❝❦ ❝✐♣❤❡r ❛♥❞ ❤❛s❤ ❢✉♥❝t✐♦♥ ✭❋❙❇✮ ✸✴ ✹✹

  7. ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❖✉r ❚❛r❣❡ts ❢♦r t❤✐s ❚❛❧❦ ❋ ✐s t❤❡ ✽ × ✽ ✏❋✲❚❛❜❧❡✑ ✭❙✲❇♦①✮ ♦❢ ❙❦✐♣❥❛❝❦ ✭◆❙❆✮ π ✐s t❤❡ ✽ × ✽ ❙✲❇♦① ♦❢ ❜♦t❤ ❑✉③♥❡❝❤✐❦ ❛♥❞ ❙tr✐❜♦❣✱ ●❖❙❚ st❛♥❞❛r❞ ❜❧♦❝❦ ❝✐♣❤❡r ❛♥❞ ❤❛s❤ ❢✉♥❝t✐♦♥ ✭❋❙❇✮ ❲ ✐s t❤❡ ✻ × ✻ ❆P◆ ♣❡r♠✉t❛t✐♦♥ ❢♦✉♥❞ ❜② ❉✐❧❧♦♥ ✭◆❙❆✮ ❆❋ r ❆ ❆ ❋❡✐st❡❧ ◆❡t✇♦r❦ ✇✐t❤ ❧✐♥❡❛r ✇❤✐t❡♥✐♥❣✳ ✸✴ ✹✹

  8. ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❖✉r ❚❛r❣❡ts ❢♦r t❤✐s ❚❛❧❦ ❋ ✐s t❤❡ ✽ × ✽ ✏❋✲❚❛❜❧❡✑ ✭❙✲❇♦①✮ ♦❢ ❙❦✐♣❥❛❝❦ ✭◆❙❆✮ π ✐s t❤❡ ✽ × ✽ ❙✲❇♦① ♦❢ ❜♦t❤ ❑✉③♥❡❝❤✐❦ ❛♥❞ ❙tr✐❜♦❣✱ ●❖❙❚ st❛♥❞❛r❞ ❜❧♦❝❦ ❝✐♣❤❡r ❛♥❞ ❤❛s❤ ❢✉♥❝t✐♦♥ ✭❋❙❇✮ ❲ ✐s t❤❡ ✻ × ✻ ❆P◆ ♣❡r♠✉t❛t✐♦♥ ❢♦✉♥❞ ❜② ❉✐❧❧♦♥ ✭◆❙❆✮ ❆❋ r ❆ ❆ ❋❡✐st❡❧ ◆❡t✇♦r❦ ✇✐t❤ ❧✐♥❡❛r ✇❤✐t❡♥✐♥❣✳ ✸✴ ✹✹

  9. ✭❙❛♠✉❡❧ ❢♦r❣♦t ❆❧❡❦s❡✐✮ ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❆ ◆❡✇ ❈❤❛❧❧❡♥❣❡r ❆♣♣❡❛rs✦ ✹✴ ✹✹

  10. ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❆ ◆❡✇ ❈❤❛❧❧❡♥❣❡r ❆♣♣❡❛rs✦ ✭❙❛♠✉❡❧ ❢♦r❣♦t ❆❧❡❦s❡✐✮ ✹✴ ✹✹

  11. ❙ ✵ ❙ ✶ ❛r❡ t❤❡ ✽ ✽ ❙✲❇♦①❡s ♦❢ ❩❯❈✱ ❛ ❈❤✐♥❡s❡ str❡❛♠ ❝✐♣❤❡r ✭❈❤✐♥❡s❡ ❆❝❛❞❡♠② ♦❢ ❙❝✐❡♥❝❡✮ ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❖✉r ❚❛r❣❡ts ❢♦r t❤✐s ❚❛❧❦ ❋ ✐s t❤❡ ✽ × ✽ ✏❋✲❚❛❜❧❡✑ ✭❙✲❇♦①✮ ♦❢ ❙❦✐♣❥❛❝❦ ✭◆❙❆✮ π ✐s t❤❡ ✽ × ✽ ❙✲❇♦① ♦❢ ❜♦t❤ ❑✉③♥❡❝❤✐❦ ❛♥❞ ❙tr✐❜♦❣✱ ●❖❙❚ st❛♥❞❛r❞ ❜❧♦❝❦ ❝✐♣❤❡r ❛♥❞ ❤❛s❤ ❢✉♥❝t✐♦♥ ✭❋❙❇✮ ❲ ✐s t❤❡ ✻ × ✻ ❆P◆ ♣❡r♠✉t❛t✐♦♥ ❢♦✉♥❞ ❜② ❉✐❧❧♦♥ ✭◆❙❆✮ ❆❋ r ❆ ❆ ❋❡✐st❡❧ ◆❡t✇♦r❦ ✇✐t❤ ❛✣♥❡ ✇❤✐t❡♥✐♥❣✳ ✺✴ ✹✹

  12. ■♥tr♦❞✉❝t✐♦♥ ❘✉❧✐♥❣ ♦✉t ❘❛♥❞♦♠♥❡ss ❉✐st✐♥❣✉✐s❤✐♥❣ P♦ss✐❜❧❡ ❙tr✉❝t✉r❡ ❈♦♠♠❡♥ts ♦♥ t❤❡ ❙tr✉❝t✉r❡s ❋♦✉♥❞ ❈♦♥❝❧✉s✐♦♥ ❖✉r ❚❛r❣❡ts ❢♦r t❤✐s ❚❛❧❦ ❋ ✐s t❤❡ ✽ × ✽ ✏❋✲❚❛❜❧❡✑ ✭❙✲❇♦①✮ ♦❢ ❙❦✐♣❥❛❝❦ ✭◆❙❆✮ π ✐s t❤❡ ✽ × ✽ ❙✲❇♦① ♦❢ ❜♦t❤ ❑✉③♥❡❝❤✐❦ ❛♥❞ ❙tr✐❜♦❣✱ ●❖❙❚ st❛♥❞❛r❞ ❜❧♦❝❦ ❝✐♣❤❡r ❛♥❞ ❤❛s❤ ❢✉♥❝t✐♦♥ ✭❋❙❇✮ ❲ ✐s t❤❡ ✻ × ✻ ❆P◆ ♣❡r♠✉t❛t✐♦♥ ❢♦✉♥❞ ❜② ❉✐❧❧♦♥ ✭◆❙❆✮ ❆❋ r ❆ ❆ ❋❡✐st❡❧ ◆❡t✇♦r❦ ✇✐t❤ ❛✣♥❡ ✇❤✐t❡♥✐♥❣✳ ❙ ✵ , ❙ ✶ ❛r❡ t❤❡ ✽ × ✽ ❙✲❇♦①❡s ♦❢ ❩❯❈✱ ❛ ❈❤✐♥❡s❡ str❡❛♠ ❝✐♣❤❡r ✭❈❤✐♥❡s❡ ❆❝❛❞❡♠② ♦❢ ❙❝✐❡♥❝❡✮ ✺✴ ✹✹

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