▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ❈♦rr❡❧❛t✐♦♥ Pr♦❜❧❡♠s ❈♦♥❝❧✉s✐♦♥s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ✵✾✳✵✷✳✷✵✶✷ ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✶ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ✸✵✳✶✶✳✷✵✶✶ ❈♦rr❡❧❛t✐♦♥ ✶✺✳✶✷✳✷✵✶✶ Pr♦❜❧❡♠s ✵✻✳✵✼✳✷✵✶✶ ❈♦♥❝❧✉s✐♦♥s ▼❡❛♥ ✈❛❧✉❡ ✐s ❝❛❧❝✉❧❛t❡❞ ♦✈❡r t❤❡ ✇❤♦❧❡ ♣✉❧s❡ P❤❛s❡ ✈❛r✐❛t✐♦♥ s❡❡♠s t♦ ❜❡ ❝♦♥s✐st❡♥t ✐♥ ❛❧❧ ❞❡✈✐❝❡s ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✷ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ✸✵✳✶✶✳✷✵✶✶ ❈♦rr❡❧❛t✐♦♥ ✶✺✳✶✷✳✷✵✶✶ Pr♦❜❧❡♠s ✵✻✳✵✼✳✷✵✶✶ ❈♦♥❝❧✉s✐♦♥s ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✸ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ✸✵✳✶✶✳✷✵✶✶ ❈♦rr❡❧❛t✐♦♥ ✶✺✳✶✷✳✷✵✶✶ Pr♦❜❧❡♠s ✵✻✳✵✼✳✷✵✶✶ ❈♦♥❝❧✉s✐♦♥s ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✹ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ✸✵✳✶✶✳✷✵✶✶ ❈♦rr❡❧❛t✐♦♥ ✶✺✳✶✷✳✷✵✶✶ Pr♦❜❧❡♠s ✵✻✳✵✼✳✷✵✶✶ ❈♦♥❝❧✉s✐♦♥s ❆r❜✐tr❛r② ❝❛❧✐❜r❛t✐♦♥ ❢❛❝t♦r t♦ s❤♦✇ t❤❡ ❝♦rr❡❧❛t✐♦♥ ❜❡t✇❡❡♥ r❡s✉❧ts ❢r♦♠ ❛❧❧ ❞❡✈✐❝❡s ❇P❘ ✷✾✵ ✭♣♦s✐t✐♦♥❡❞ ❛❢t❡r t❤❡ ✜rst ❑❧②str♦♥✲❜✉♥❝❤❡r✮ s❡❡♠s t♦ ❜❡ ✈❡r② ♥♦✐s② → ❢✉rt❤❡r ✐♥✈❡st✐❣❛t✐♦♥ ♥❡❡❞❡❞ ❇P❘ ✹✼✺ ✭♣♦s✐t✐♦♥❡❞ ❛❢t❡r t❤❡ s♠❛❧❧ ❝❤✐❝❛♥❡ ❛❢t❡r t❤❡ ✷ ❦❧②str♦♥s✮ ✐♥ ❛❝❝♦r❞❛♥❝❡ ✇✐t❤ t❤❡ r❡s✉❧ts ❢r♦♠ P❊❚❙ ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✺ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ✸✵✳✶✶✳✷✵✶✶ ❈♦rr❡❧❛t✐♦♥ ✶✺✳✶✷✳✷✵✶✶ Pr♦❜❧❡♠s ❈♦♥❝❧✉s✐♦♥s ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✻ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ✸✵✳✶✶✳✷✵✶✶ ❈♦rr❡❧❛t✐♦♥ ✶✺✳✶✷✳✷✵✶✶ Pr♦❜❧❡♠s ❈♦♥❝❧✉s✐♦♥s ❙✉❜tr❛❝t❡❞ ❛ ✈❛❧✉❡ s♦ t❤❛t ❛❧❧ ❧✐♥❡s ❛r❡ ❜r♦✉❣❤t t♦❣❡t❤❡r P❤❛s❡ ✈❛r✐❛t✐♦♥ s❡❡♠s t♦ ❜❡ ❝♦♥s✐st❡♥t ✐♥ ❛❧❧ ❞❡✈✐❝❡s ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✼ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ✸✵✳✶✶✳✷✵✶✶ ❈♦rr❡❧❛t✐♦♥ ✶✺✳✶✷✳✷✵✶✶ Pr♦❜❧❡♠s ❈♦♥❝❧✉s✐♦♥s ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✽ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s P❊❚❙ ❈♦rr❡❧❛t✐♦♥ ❈❘✳❇P❘✺✵✺ Pr♦❜❧❡♠s ❈▲✳❇P❘✹✼✺ ❈♦♥❝❧✉s✐♦♥s ✭❛✮ ✸✵✳✶✶✳✷✵✶✶ ✭❜✮ ✶✺✳✶✷✳✷✵✶✶ P❡r❢❡❝t ❝♦rr❡❧❛t✐♦♥ ❜❡t✇❡❡♥ t❤❡ P❊❚❙ ❞❡✈✐❝❡s ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✾ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s P❊❚❙ ❈♦rr❡❧❛t✐♦♥ ❈❘✳❇P❘✺✵✺ Pr♦❜❧❡♠s ❈▲✳❇P❘✹✼✺ ❈♦♥❝❧✉s✐♦♥s ✭❝✮ ✸✵✳✶✶✳✷✵✶✶ ✭❞✮ ✶✺✳✶✷✳✷✵✶✶ ❈♦rr❡❧❛t✐♦♥ ✇✐t❤ t❤❡ ❇P❘ ✐♥ t❤❡ ❈♦♠❜✐♥❡r ❘✐♥❣ ✐s ♥♦t ❛❧✇❛②s ✈❡r② ❣♦♦❞ ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✶✵ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s P❊❚❙ ❈♦rr❡❧❛t✐♦♥ ❈❘✳❇P❘✺✵✺ Pr♦❜❧❡♠s ❈▲✳❇P❘✹✼✺ ❈♦♥❝❧✉s✐♦♥s ✭❡✮ ✸✵✳✶✶✳✷✵✶✶ ✭❢✮ ✶✺✳✶✷✳✷✵✶✶ ❙✐t✉❛t✐♦♥ ❡✈❡♥ ✇♦rs❡ ❢♦r t❤❡ ❇P❘ ❛❢t❡r t❤❡ s♠❛❧❧ ❝❤✐❝❛♥❡ ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✶✶ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ❈♦rr❡❧❛t✐♦♥ Pr♦❜❧❡♠s ❈♦♥❝❧✉s✐♦♥s ❈❚✳❙❚❇P❘✵✺✸✷ s❡❡♠s t♦ ❤❛✈❡ ✈❡r② ❧♦✇ r❡s♦❧✉t✐♦♥✳ ▼❛②❜❡ t❤❡ ❛tt❡♥✉❛t✐♦♥ ♥❡❡❞s t♦ ❜❡ ❛❞❥✉st❡❞ P♦ss✐❜✐❧✐t② ❢♦r t❤❡ ❇P❘ ❛tt❡♥✉❛t♦rs t♦ ❜❡ ✐♥ ❛♥ ❛❝❝❡ss✐❜❧❡ ❛r❡❛❄ ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✶✷ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ❈♦rr❡❧❛t✐♦♥ ❋✉rt❤❡r ❛♥❛❧②s✐s Pr♦❜❧❡♠s ❈♦♥❝❧✉s✐♦♥s ❚❤❡ st❛t✐❝ ♣❤❛s❡ ✈❛r✐❛t✐♦♥ ✐s ♠♦r❡ ♦r ❧❡ss ♣r❡s❡r✈❡❞ ❢r♦♠ t❤❡ ✐♥❥❡❝t♦r t♦ ❈▲❊❳ ✭✐s ♥♦t ❣r♦✇✐♥❣✮ ❛♥❞ ✐t ✐s ✹✵✲✻✵ ❞❡❣r❡❡s ❛t ✶✷●❍③ P❤❛s❡ ❱❛r✐❛t✐♦♥ ✐s st✐❧❧ ✈❡r② ❧❛r❣❡ ✭♥❡❡❞s t♦ ❜❡ ✐♥✈❡st✐❣❛t❡❞ ❢✉rt❤❡r✮ ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✶✸ ✴ ✶✺
▼❡❛♥ ✈❛❧✉❡ ♦❢ ❡✈❡r② ♣✉❧s❡ ♦✈❡r t✐♠❡ ▼❡❛♥ ❖❢ ❊❛❝❤ P♦✐♥t ❋♦r ❆❧❧ ❉❡✈✐❝❡s ❈♦rr❡❧❛t✐♦♥ ❋✉rt❤❡r ❛♥❛❧②s✐s Pr♦❜❧❡♠s ❈♦♥❝❧✉s✐♦♥s ❈r♦ss ❝♦rr❡❧❛t❡ ✇✐t❤ ♦t❤❡r ❞❡✈✐❝❡s✱ ❢♦r ❡①❛♠♣❧❡ ❈❚✳❇P■✵✻✵✽ t♦ s❡❡ t❤❡ ❝♦rr❡❧❛t✐♦♥ t♦ t❤❡ ❜❡❛♠ ❡♥❡r❣② ❆♥❛❧②s✐s ♦❢ t❤❡ ♥♦✐s❡ ♦❢ t❤❡ ❡❧❡❝tr♦♥✐❝s ▼❡❛s✉r❡♠❡♥t ♦❢ t❤❡ r❡❢❡r❡♥❝❡ ♣❤❛s❡ ♥♦✐s❡ ❊♠♠❛♥♦✉✐❧ ■❦❛r✐♦s ❇❡❛♠ P❤❛s❡ ▼❡❛s✉r❡♠❡♥ts ✵✾✳✵✷✳✷✵✶✷ ✶✹ ✴ ✶✺
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