❆✉t♦♠❛t✐❝ ❈❧❛ss✐✜❝❛t✐♦♥ ❛♥❞ P▲❙✲P▼ ▼♦❞❡❧✐♥❣ ❢♦r Pr♦✜❧✐♥❣ ❘❡♣✉t❛t✐♦♥ ♦❢ ❈♦r♣♦r❛t❡ ❊♥t✐t✐❡s ♦♥ ❚✇✐tt❡r ❏✳❱✳ ❈♦ss✉ ❯♥✐✈❡rs✐t② ♦❢ ❆✈✐❣♥♦♥✱ ❋r❛♥❝❡ ◆▲❉❇✬✷✵✶✺ ❏✉♥❡ ✶✽ ✷✵✶✺ ❆✉t❤♦rs ❏✳✲❱✳ ❈♦ss✉ ✱ ▼✳ ❊❧✲❇è③❡✱ ❊✳ ❙❛♥❏✉❛♥ ❛♥❞ ❏✳✲▼✳ ❚♦rr❡s✲▼♦r❡♥♦ ❏❱ ❈♦ss✉ ✲ ❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ✉s✐♥❣ t✇❡❡ts ❝♦♥t❡♥ts ◆▲❉❇✬✷✵✶✺ ✲ ❏✉♥❡ ✷✵✶✺ ✶✴✶✻
❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ❖✉t❧✐♥❡ ❇❛❝❦❣r♦✉♥❞ ❡✲❘❡♣✉t❛t✐♦♥✿ ❈▲❊❋ ❘❡♣▲❛❜ ❘❡♣✉t❛t✐♦♥ ▼♦♥✐t♦r✐♥❣✿ ♠❛✐♥ t♦♣✐❝s ❋♦❝✉s❡❞ s✉❜✲✐ss✉❡s ❉♦❝✉♠❡♥t ❙❝♦r✐♥❣ ❆♣♣r♦❛❝❤ ❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ❆♣♣r♦❛❝❤ P❡rs♣❡❝t✐✈❡s ❏❱ ❈♦ss✉ ✲ ❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ✉s✐♥❣ t✇❡❡ts ❝♦♥t❡♥ts ◆▲❉❇✬✷✵✶✺ ✲ ❏✉♥❡ ✷✵✶✺ ✷✴✶✻
❘❡♣▲❛❜✿ ❡✲❘❡♣✉t❛t✐♦♥ ♠♦♥✐t♦r✐♥❣ Pr♦✜❧✐♥❣ ❈♦r♣♦r❛t❡ ❡♥t✐t✐❡s ♦♥ ❚✇✐tt❡r ❞❡✜♥❡❞ ❜② ❘❡♣▲❛❜ ❋✐❧t❡r ✉♥r❡❧❛t❡❞ ❝♦♥t❡♥ts ●r♦✉♣ t✇❡❡ts ❞❡♣❡♥❞✐♥❣ ♦♥ tr❡♥❞s ❉❡t❡❝t ❛s♣❡❝ts ♦r✐❡♥t❡❞ ♦♣✐♥✐♦♥s ❋✐♥❞ t✇❡❡ts ♥❡❡❞✐♥❣ ✐♠♠❡❞✐❛t❡ ❛tt❡♥t✐♦♥ ❛♥❞ r❡❛❝t ❛♣♣r♦♣r✐❛t❡❧② ❉❛t❛ ▲❛r❣❡ t✇❡❡ts ❝♦❧❧❡❝t✐♦♥ ✭✶✹✷✱✵✵✵ t✇❡❡ts✱ ✽✵✪ ❊♥❣❧✐s❤✱ ✷✵✪ ❙♣❛♥✐s❤✮ ✻✶ ❡♥t✐t✐❡s ❢r♦♠ ❆✉t♦♠♦t✐✈❡✱ ❇❛♥❦✐♥❣✱ ▼✉s✐❝✱ ❯♥✐✈❡rs✐t✐❡s ❈r❛✇❧✐♥❣ ✇✐t❤ ❡♥t✐t② ♥❛♠❡ ❜❡t✇❡❡♥ ❏✉♥❡ ❛♥❞ ❉❡❝❡♠❜r❡ ✷✵✶✷ ▼♦r❡ t❤❛♥ ✺✵✵✱✵✵✵ ♠❛♥✉❛❧ ❡①♣❡rts ❛ss❡ss♠❡♥ts ❆♥♥♦t❛t♦rs ❤❛❞ ❤❛r❞ t✐♠❡s ✜♥❞✐♥❣ ❛❣r❡❡♠❡♥ts ❋✐♥❛❧❧② ❛ ❢❡✇ tr❛✐♥✐♥❣ ❞❛t❛ ❢♦r ❡❛❝❤ ❡♥t✐t② ✭✻✵✵ tr❛✐♥✐♥❣ ❡①❛♠♣❧❡s✮ ❏❱ ❈♦ss✉ ✲ ❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ✉s✐♥❣ t✇❡❡ts ❝♦♥t❡♥ts ◆▲❉❇✬✷✵✶✺ ✲ ❏✉♥❡ ✷✵✶✺ ✸✴✶✻
❋♦❝✉s❡❞ ✐ss✉❡s Pr✐♦r✐t② ❘❛♥❦✐♥❣ Pr❡❞✐❝t t❤❡ ♣r✐♦r✐t② ❧❡✈❡❧ ♦❢ ❝♦♥✈❡rs❛t✐♦♥s✿ ◆❡❣❛t✐✈❡ ♠❡ss❛❣❡s ♠❛② ✐♠♣❛❝t t❤❡ ♣r✐♦r✐t② r❛♥❦ ▼❡ss❛❣❡ ❢r♦♠ ✧♦♣✐♥✐♦♥s ♠❛❦❡rs✧ ♠❛② r❡❝❡✐✈❡ ❛♥ ❤✐❣❤❡r ♣r✐♦r✐t② ❈❧❛ss✐✜❝❛t✐♦♥ ♦r ❘❡❧❛t✐♦♥s❤✐♣✿ ❆▲❊❘❚ ❃ ▼■▲❉▲❨ ❃ ◆❖❚ ■▼P❖❘❚❆◆❚ ❘❛♥❦ t❤❡ ❢❡✇ ❆❧❡rts ✭✸✪✮ ✉s✐♥❣ t❤❡ ♣r♦❜❛❜✐❧✐t② ♦❢ ❜❡✐♥❣ ❆▲❊❘❚ ❖✣❝✐❛❧ ❡✈❛❧✉❛t✐♦♥ ❛s ❝❧✉st❡r✐♥❣ ♣r♦❜❧❡♠ ❉✐♠❡♥s✐♦♥s ❈❧❛ss✐✜❝❛t✐♦♥ ❉✐♠❡♥s✐♦♥s ❂ ❈♦♥❝❡♣t✉❛❧ ❘❡♣✉t❛t✐♦♥ ❆s♣❡❝ts s✉❣❣❡st❡❞ ❜② s♣❡❝✐❛❧✐sts ❈✐t✐③❡♥s❤✐♣✱ ●♦✈❡r♥❛♥❝❡✱ ■♥♥♦✈❛t✐♦♥✱ ▲❡❛❞❡rs❤✐♣✱ P❡r❢♦r♠❛♥❝❡✱ Pr♦❞✉❝ts✱ ❲♦r❦♣❧❛❝❡ ▼♦st t✇❡❡ts ❛r❡ ❛❜♦✉t Pr♦❞✉❝ts✴❙❡r✈✐❝❡s ✭✻✵✪✮ ❖✣❝✐❛❧ ❡✈❛❧✉❛t✐♦♥ ✉s✐♥❣ t②♣✐❝❛❧ Pr❡❝✐s✐♦♥✴❘❡❝❛❧❧✴❆❝❝✉r❛❝② ❏❱ ❈♦ss✉ ✲ ❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ✉s✐♥❣ t✇❡❡ts ❝♦♥t❡♥ts ◆▲❉❇✬✷✵✶✺ ✲ ❏✉♥❡ ✷✵✶✺ ✹✴✶✻
❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ❏♦✐♥t ❆♣♣r♦❛❝❤ ●❡♥❡r❛❧✐③❡ ❛ss❡ss♠❡♥ts ✉s✐♥❣ t✇❡❡t ❝♦♥t❡♥t ▼✉❧t✐❧✐♥❣✉❛❧✴❞♦♠❛✐♥ s❝♦r✐♥❣ ❛♣♣r♦❛❝❤ Pr♦♣♦s❡ ❛♥♥♦t❛t✐♦♥ ❛♥❞ ♠♦❞❡❧ ❢♦r ✉♥❛♥♥♦t❛t❡❞ ❞♦♠❛✐♥s ✭◆♦ ❉✐♠❡♥s✐♦♥s ❛♥♥♦t❛t✐♦♥ ❢♦r ▼✉s✐❝ ❛♥❞ ❯♥✐✈❡rs✐t✐❡s✮ ❖❜❥❡❝t✐✈❡ ❋✐♥❞ r❡❧❛t✐♦♥s❤✐♣s✿ ❉✐♠❡♥s✐♦♥s ✲❃ Pr✐♦r✐t② Pr♦✈✐❞❡ ❛ ❤✐❡r❛r❝❤② ❢♦r ❉✐♠❡♥s✐♦♥s ▼♦❞❡❧ ❡♥t✐t✐❡s✬ r❡♣✉t❛t✐♦♥ ✐♥ t❤❡ t✐♠❡ ❊✈❛❧✉❛t✐♦♥ ❈♦♠♣❛r✐♥❣ ♦❜t❛✐♥❡❞ ❤✐❡r❛r❝❤✐❡s ✇✐t❤ r❡❢❡r❡♥❝❡s ❛♥❞ ♣r❡❞✐❝t✐♦♥s ▲♦♦❦ ❢♦r r❛♥❦✐♥❣ ✐♠♣r♦✈❡♠❡♥ts ✇✐t❤ ♣r❡❞✐❝t❡❞ ❛❧❡rt ❏❱ ❈♦ss✉ ✲ ❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ✉s✐♥❣ t✇❡❡ts ❝♦♥t❡♥ts ◆▲❉❇✬✷✵✶✺ ✲ ❏✉♥❡ ✷✵✶✺ ✺✴✶✻
P❛rt ✶✿ ❙❝♦r✐♥❣ ■s t✇❡❡t ❝♦♥t❡♥t s✉✣❝✐❡♥t ❄ ❇❛s✐❝ ❝❧❛ss✐✜❡rs ✉s✐♥❣ ❚❋①■❉❋ ♦✈❡r ❜❛❣✲♦❢✲✇♦r❞s ❲✐t❤♦✉t ♣❛r❛♠❡t❡rs t✉♥✐♥❣ ❛♥❞ ❢❡❛t✉r❡s s❡❧❡❝t✐♦♥ ❉✐♠❡♥s✐♦♥s ❝❧❛ss✐✜❝❛t✐♦♥ ♣❡r❢♦r♠❛♥❝❡s ❙②st❡♠ ❋✲❙❝♦r❡ ❆❝❝✉r❛❝② ❈♦s✐♥❡ ✳✺✵✺ ✳✼✹✶ ❙❱▼ ✳✹✻✼ ✳✼✸✸ ❇❡st❴❙②st❡♠ ✳✹✼✸ ✳✼✸✶ ❏❛❝❝❛r❞ ✳✸✼✽ ✳✹✼✻ Pr✐♦r✐t② ❞❡t❡❝t✐♦♥ ♣❡r❢♦r♠❛♥❝❡s ❙②st❡♠ ❋✲❙❝♦r❡ ❆❝❝✉r❛❝② ❋✭❘✫❙✮ ❇❡st❴❙②st❡♠ ✳✺✼✶ ✳✻✸✻ ✳✸✸✺ ❙❱▼ ✳✺✺✸ ✳✻✹✸ ✳✸✵✹ ❈♦s✐♥❡ ✳✺✻✻ ✳✻✸✼ ✳✷✻✵ ❏❛❝❝❛r❞ ✳✹✾✷ ✳✺✻✶ ✳✷✸✸ ❏❱ ❈♦ss✉ ✲ ❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ✉s✐♥❣ t✇❡❡ts ❝♦♥t❡♥ts ◆▲❉❇✬✷✵✶✺ ✲ ❏✉♥❡ ✷✵✶✺ ✻✴✶✻
P❛rt ✷✿ ▼♦❞❡❧✐♥❣ ❲❤② P❛rt✐❛❧ ▲❡❛st ❙q✉❛r❡s P❛t❤ ▼♦❞❡❧✐♥❣ ❄ ❆❧❧♦✇ t♦ ✉s❡ ✈❛r✐♦✉s t②♣❡ ♦❢ ❞❛t❛ ❯♥❝♦♠♠♦♥ ✇❛② t♦ ❝♦♠❜✐♥❡ ❝❧❛ss✐✜❡rs ♦✉t♣✉ts ▲❛t❡♥t ❱❛r✐❛❜❧❡ P▲❙✲P ❢♦r ❉✐♠❡♥s✐♦♥s ❊❛❝❤ ❞✐♠❡♥s✐♦♥ ✐s ❛ ❧❛t❡♥t ✈❛r✐❛❜❧❡ ❈♦♥s✐sts ✐♥ ❛ ✈❡❝t♦r ♦❢ ♥♦r♠❛❧✐③❡❞ ❝❧❛ss✐✜❡rs✬ s❝♦r❡s ❆ss✉♠♣t✐♦♥ t❤❛t ❛ t✇❡❡t ❜❡❧♦♥❣s t♦ ♠♦r❡ t❤❛♥ ✶ ❉✐♠❡♥s✐♦♥ ▲❛t❡♥t ❱❛r✐❛❜❧❡ P▲❙✲P ❢♦r Pr✐♦r✐t② ❆❧❡rt ❝❛♥ ❜❡ ❛ ✈❡❝t♦r ♦❢ ❝❧❛ss✐✜❡rs✬ s❝♦r❡s ♦r ♠❛♥✉❛❧ r❡❢❡r❡♥❝❡ ■♠♣♦rt❛♥t ✐s t❤❡ ❝♦♠♣❧❡♠❡♥t ♦❢ ❛❧❡rt ❖❜❥❡❝t✐✈❡ ♦❢ t❤❡ P▲❙ ▼♦❞❡❧ ▼✐♥✐♠✐③❡ t❤❡ sq✉❛r❡ ❞✐st❛♥❝❡ ❜❡t✇❡❡♥ ❝❧❛ss✐✜❡rs ❛♥❞ ❝♦♥❝❡♣t ❏❱ ❈♦ss✉ ✲ ❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ✉s✐♥❣ t✇❡❡ts ❝♦♥t❡♥ts ◆▲❉❇✬✷✵✶✺ ✲ ❏✉♥❡ ✷✵✶✺ ✼✴✶✻
P❛rt ✷✿ ▼♦❞❡❧✐♥❣ ▼♦❞❡❧ ●❧♦❜❛❧ ♦r ❡♥t✐t②✴❞♦♠❛✐♥ s♣❡❝✐✜❝ ♠♦❞❡❧ ■❢ ♥♦ ❧✐♥❦ ❜❡t✇❡❡♥ ❉✐♠❡♥s✐♦♥s ❛♥❞ ❆❧❡rt ✇❡ ❝❤♦♦s❡ t❤❡ ◆♦♥✲❉✐♠❡♥s✐♦♥ ✭❉✐♠❡♥s✐♦♥ ✈❡❝t♦r ❝♦♠♣❧❡♠❡♥t✮ ❊①♣❡❝t❛t✐♦♥s ❉♦❡s ❛ ❞✐♠❡♥s✐♦♥ ✐♠♣❧② ❛❧❡rt ♦r ❡♥t❛✐❧ ✐♠♣♦rt❛♥❝❡ ❄ ❉♦❡s t❤❡ ♠♦❞❡❧✐♥❣ ✐♠♣r♦✈❡ ❛❧❡rt ❞❡t❡❝t✐♦♥ ❄ ❲❤✐❝❤ ❝❧❛ss✐✜❡r ♣r♦✈✐❞❡s r♦❜✉st♥❡ss ❏❱ ❈♦ss✉ ✲ ❡✲❘❡♣✉t❛t✐♦♥ ▼♦❞❡❧✐♥❣ ✉s✐♥❣ t✇❡❡ts ❝♦♥t❡♥ts ◆▲❉❇✬✷✵✶✺ ✲ ❏✉♥❡ ✷✵✶✺ ✽✴✶✻
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