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  1. ■♥tr♦❞✉❝t✐♦♥ ❛♥❞ ♠❛✐♥ r❡s✉❧t ❚❤❡ ❍✐❧❜❡rt✲❊✐♥st❡✐♥ ❢✉♥❝t✐♦♥ ❈❤❛♥❣✐♥❣ tr✐❛♥❣✉❧❛t✐♦♥s ❖♥ t❤❡ r✐❣✐❞✐t② ♦❢ ✇❡❛❦❧② ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ✭❏♦✐♥t ✇♦r❦ ✇✐t❤ ■✳ ■③♠❡st✐❡✈✮ ❏❡❛♥✲▼❛r❝ ❙❝❤❧❡♥❦❡r ■♥st✐t✉t ❞❡ ▼❛t❤é♠❛t✐q✉❡s ❞❡ ❚♦✉❧♦✉s❡ ❯♥✐✈❡rs✐té ❚♦✉❧♦✉s❡ ■■■ ❤tt♣✿✴✴✇✇✇✳♠❛t❤✳✉♣s✲t❧s❡✳❢r✴✄s❝❤❧❡♥❦❡r ❯✳ P❡♥♥✳ ❆♣r✳ ✶✼✱ ✷✵✵✽ ❏❡❛♥✲▼❛r❝ ❙❝❤❧❡♥❦❡r ❖♥ t❤❡ r✐❣✐❞✐t② ♦❢ ✇❡❛❦❧② ❝♦♥✈❡① ♣♦❧②❤❡❞r❛

  2. ■♥tr♦❞✉❝t✐♦♥ ❛♥❞ ♠❛✐♥ r❡s✉❧t ❚❤❡ ❍✐❧❜❡rt✲❊✐♥st❡✐♥ ❢✉♥❝t✐♦♥ ❈❤❛♥❣✐♥❣ tr✐❛♥❣✉❧❛t✐♦♥s ❘✐❣✐❞✐t② ♦❢ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❚❤♠ ✭▲❡❣❡♥❞r❡ ✶✼✾✸✱ ❈❛✉❝❤② ✶✽✶✸✮ ✿ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❛r❡ ❣❧♦❜❛❧❧② r✐❣✐❞✱ ✐✳❡✳✱ t✇♦ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ✇✐t❤ ✐s♦♠❡tr✐❝ ❝♦rr❡s♣♦♥❞✐♥❣ ❢❛❝❡s ❛r❡ ❝♦♥❣r✉❡♥t✳ ❉❡❢ ✿ P ✐s ✐♥✜♥✐t❡s✐♠❛❧❧② r✐❣✐❞ ✐❢ ❛♥② ♥♦♥✲tr✐✈✐❛❧ ✜rst✲♦r❞❡r ❞❡❢♦r♠❛t✐♦♥ ♦❢ P ✐♥❞✉❝❡s ❛ ✈❛r✐❛t✐♦♥ ♦❢ ✐ts ❡❞❣❡ ❧❡♥❣t❤s✳ ❚❤♠ ✭❉❡❤♥ ✶✾✶✻✮ ✿ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❛r❡ ✐♥✜♥✐t❡s✐♠❛❧❧② r✐❣✐❞✳ ❆♣♣❧✐❝❛t✐♦♥s ✿ r✐❣✐❞✐t② ♦❢ ❝♦♥✈❡① s✉r❢❛❝❡s✱ ❆❧❡①❛♥❞r♦✈✬s r✐❣✐❞✐t②✱ ✐s♦♠❡tr✐❝ ❡♠❜❡❞❞✐♥❣s ♦❢ s♠♦♦t❤✴♣♦❧②❤❡❞r❛❧ ♠❡tr✐❝s ♦♥ s✉r❢❛❝❡s✱ ❡t❝ ◗✉❡st✐♦♥ ✿ ✇❤❛t ❛❜♦✉t ♥♦♥✲❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❄ ❚❤♠ ✭❈♦♥♥❡❧❧② ✶✾✼✽✮ ✿ ∃ ✢❡①✐❜❧❡ ♣♦❧②❤❡❞r❛✳ ▼❛✐♥ ✐❞❡❛ ✿ t❤❡ ❝♦♥✈❡①✐t② ❤②♣♦t❤❡s✐s ✐♥ t❤❡ ❈❛✉❝❤②✴❉❡❤♥ t❤❡♦r❡♠ ✐s ♥♦t q✉✐t❡ r✐❣❤t✳ ❏❡❛♥✲▼❛r❝ ❙❝❤❧❡♥❦❡r ❖♥ t❤❡ r✐❣✐❞✐t② ♦❢ ✇❡❛❦❧② ❝♦♥✈❡① ♣♦❧②❤❡❞r❛

  3. ■♥tr♦❞✉❝t✐♦♥ ❛♥❞ ♠❛✐♥ r❡s✉❧t ❚❤❡ ❍✐❧❜❡rt✲❊✐♥st❡✐♥ ❢✉♥❝t✐♦♥ ❈❤❛♥❣✐♥❣ tr✐❛♥❣✉❧❛t✐♦♥s ❘✐❣✐❞✐t② ♦❢ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❚❤♠ ✭▲❡❣❡♥❞r❡ ✶✼✾✸✱ ❈❛✉❝❤② ✶✽✶✸✮ ✿ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❛r❡ ❣❧♦❜❛❧❧② r✐❣✐❞✱ ✐✳❡✳✱ t✇♦ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ✇✐t❤ ✐s♦♠❡tr✐❝ ❝♦rr❡s♣♦♥❞✐♥❣ ❢❛❝❡s ❛r❡ ❝♦♥❣r✉❡♥t✳ ❉❡❢ ✿ P ✐s ✐♥✜♥✐t❡s✐♠❛❧❧② r✐❣✐❞ ✐❢ ❛♥② ♥♦♥✲tr✐✈✐❛❧ ✜rst✲♦r❞❡r ❞❡❢♦r♠❛t✐♦♥ ♦❢ P ✐♥❞✉❝❡s ❛ ✈❛r✐❛t✐♦♥ ♦❢ ✐ts ❡❞❣❡ ❧❡♥❣t❤s✳ ❚❤♠ ✭❉❡❤♥ ✶✾✶✻✮ ✿ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❛r❡ ✐♥✜♥✐t❡s✐♠❛❧❧② r✐❣✐❞✳ ❆♣♣❧✐❝❛t✐♦♥s ✿ r✐❣✐❞✐t② ♦❢ ❝♦♥✈❡① s✉r❢❛❝❡s✱ ❆❧❡①❛♥❞r♦✈✬s r✐❣✐❞✐t②✱ ✐s♦♠❡tr✐❝ ❡♠❜❡❞❞✐♥❣s ♦❢ s♠♦♦t❤✴♣♦❧②❤❡❞r❛❧ ♠❡tr✐❝s ♦♥ s✉r❢❛❝❡s✱ ❡t❝ ◗✉❡st✐♦♥ ✿ ✇❤❛t ❛❜♦✉t ♥♦♥✲❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❄ ❚❤♠ ✭❈♦♥♥❡❧❧② ✶✾✼✽✮ ✿ ∃ ✢❡①✐❜❧❡ ♣♦❧②❤❡❞r❛✳ ▼❛✐♥ ✐❞❡❛ ✿ t❤❡ ❝♦♥✈❡①✐t② ❤②♣♦t❤❡s✐s ✐♥ t❤❡ ❈❛✉❝❤②✴❉❡❤♥ t❤❡♦r❡♠ ✐s ♥♦t q✉✐t❡ r✐❣❤t✳ ❏❡❛♥✲▼❛r❝ ❙❝❤❧❡♥❦❡r ❖♥ t❤❡ r✐❣✐❞✐t② ♦❢ ✇❡❛❦❧② ❝♦♥✈❡① ♣♦❧②❤❡❞r❛

  4. ■♥tr♦❞✉❝t✐♦♥ ❛♥❞ ♠❛✐♥ r❡s✉❧t ❚❤❡ ❍✐❧❜❡rt✲❊✐♥st❡✐♥ ❢✉♥❝t✐♦♥ ❈❤❛♥❣✐♥❣ tr✐❛♥❣✉❧❛t✐♦♥s ❘✐❣✐❞✐t② ♦❢ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❚❤♠ ✭▲❡❣❡♥❞r❡ ✶✼✾✸✱ ❈❛✉❝❤② ✶✽✶✸✮ ✿ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❛r❡ ❣❧♦❜❛❧❧② r✐❣✐❞✱ ✐✳❡✳✱ t✇♦ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ✇✐t❤ ✐s♦♠❡tr✐❝ ❝♦rr❡s♣♦♥❞✐♥❣ ❢❛❝❡s ❛r❡ ❝♦♥❣r✉❡♥t✳ ❉❡❢ ✿ P ✐s ✐♥✜♥✐t❡s✐♠❛❧❧② r✐❣✐❞ ✐❢ ❛♥② ♥♦♥✲tr✐✈✐❛❧ ✜rst✲♦r❞❡r ❞❡❢♦r♠❛t✐♦♥ ♦❢ P ✐♥❞✉❝❡s ❛ ✈❛r✐❛t✐♦♥ ♦❢ ✐ts ❡❞❣❡ ❧❡♥❣t❤s✳ ❚❤♠ ✭❉❡❤♥ ✶✾✶✻✮ ✿ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❛r❡ ✐♥✜♥✐t❡s✐♠❛❧❧② r✐❣✐❞✳ ❆♣♣❧✐❝❛t✐♦♥s ✿ r✐❣✐❞✐t② ♦❢ ❝♦♥✈❡① s✉r❢❛❝❡s✱ ❆❧❡①❛♥❞r♦✈✬s r✐❣✐❞✐t②✱ ✐s♦♠❡tr✐❝ ❡♠❜❡❞❞✐♥❣s ♦❢ s♠♦♦t❤✴♣♦❧②❤❡❞r❛❧ ♠❡tr✐❝s ♦♥ s✉r❢❛❝❡s✱ ❡t❝ ◗✉❡st✐♦♥ ✿ ✇❤❛t ❛❜♦✉t ♥♦♥✲❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❄ ❚❤♠ ✭❈♦♥♥❡❧❧② ✶✾✼✽✮ ✿ ∃ ✢❡①✐❜❧❡ ♣♦❧②❤❡❞r❛✳ ▼❛✐♥ ✐❞❡❛ ✿ t❤❡ ❝♦♥✈❡①✐t② ❤②♣♦t❤❡s✐s ✐♥ t❤❡ ❈❛✉❝❤②✴❉❡❤♥ t❤❡♦r❡♠ ✐s ♥♦t q✉✐t❡ r✐❣❤t✳ ❏❡❛♥✲▼❛r❝ ❙❝❤❧❡♥❦❡r ❖♥ t❤❡ r✐❣✐❞✐t② ♦❢ ✇❡❛❦❧② ❝♦♥✈❡① ♣♦❧②❤❡❞r❛

  5. ■♥tr♦❞✉❝t✐♦♥ ❛♥❞ ♠❛✐♥ r❡s✉❧t ❚❤❡ ❍✐❧❜❡rt✲❊✐♥st❡✐♥ ❢✉♥❝t✐♦♥ ❈❤❛♥❣✐♥❣ tr✐❛♥❣✉❧❛t✐♦♥s ❘✐❣✐❞✐t② ♦❢ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❚❤♠ ✭▲❡❣❡♥❞r❡ ✶✼✾✸✱ ❈❛✉❝❤② ✶✽✶✸✮ ✿ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❛r❡ ❣❧♦❜❛❧❧② r✐❣✐❞✱ ✐✳❡✳✱ t✇♦ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ✇✐t❤ ✐s♦♠❡tr✐❝ ❝♦rr❡s♣♦♥❞✐♥❣ ❢❛❝❡s ❛r❡ ❝♦♥❣r✉❡♥t✳ ❉❡❢ ✿ P ✐s ✐♥✜♥✐t❡s✐♠❛❧❧② r✐❣✐❞ ✐❢ ❛♥② ♥♦♥✲tr✐✈✐❛❧ ✜rst✲♦r❞❡r ❞❡❢♦r♠❛t✐♦♥ ♦❢ P ✐♥❞✉❝❡s ❛ ✈❛r✐❛t✐♦♥ ♦❢ ✐ts ❡❞❣❡ ❧❡♥❣t❤s✳ ❚❤♠ ✭❉❡❤♥ ✶✾✶✻✮ ✿ ❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❛r❡ ✐♥✜♥✐t❡s✐♠❛❧❧② r✐❣✐❞✳ ❆♣♣❧✐❝❛t✐♦♥s ✿ r✐❣✐❞✐t② ♦❢ ❝♦♥✈❡① s✉r❢❛❝❡s✱ ❆❧❡①❛♥❞r♦✈✬s r✐❣✐❞✐t②✱ ✐s♦♠❡tr✐❝ ❡♠❜❡❞❞✐♥❣s ♦❢ s♠♦♦t❤✴♣♦❧②❤❡❞r❛❧ ♠❡tr✐❝s ♦♥ s✉r❢❛❝❡s✱ ❡t❝ ◗✉❡st✐♦♥ ✿ ✇❤❛t ❛❜♦✉t ♥♦♥✲❝♦♥✈❡① ♣♦❧②❤❡❞r❛ ❄ ❚❤♠ ✭❈♦♥♥❡❧❧② ✶✾✼✽✮ ✿ ∃ ✢❡①✐❜❧❡ ♣♦❧②❤❡❞r❛✳ ▼❛✐♥ ✐❞❡❛ ✿ t❤❡ ❝♦♥✈❡①✐t② ❤②♣♦t❤❡s✐s ✐♥ t❤❡ ❈❛✉❝❤②✴❉❡❤♥ t❤❡♦r❡♠ ✐s ♥♦t q✉✐t❡ r✐❣❤t✳ ❏❡❛♥✲▼❛r❝ ❙❝❤❧❡♥❦❡r ❖♥ t❤❡ r✐❣✐❞✐t② ♦❢ ✇❡❛❦❧② ❝♦♥✈❡① ♣♦❧②❤❡❞r❛

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