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❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ♣❤♣▼②❆❞♠✐♥ ❞❡✈❡❧♦♣❡r ✲ r✉❧❡❛♥t❅✉s❡rs✳s❢✳♥❡t ❋❖❙❉❊▼ ✲ ❋❡❜r✉❛r② ✸r❞✱ ✷✵✶✸ ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✶ ✴ ✶✸

❲❤❛t ✐s ♣❤♣▼②❆❞♠✐♥❄ ❆ ✇❡❜✐♥t❡r❢❛❝❡ ✇r✐tt❡♥ ✐♥ P❍P ✭❛♥❞ ❏❛✈❛❙❝r✐♣t✮✱ t♦ ❛❞♠✐♥✐st❡r ❛ ▼②❙◗▲ ❞❛t❛❜❛s❡ ❛♥❞ ✉s❡rs✳ ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✷ ✴ ✶✸

✐♥ ❞❡✈❡❧♦♣♠❡♥t ✿ ✹✳✵ ✭❝✉rr❡♥t❧② ✹✳✵✳✵✲❛❧♣❤❛✷✮ ❛✈❛✐❧❛❜❧❡ ✐♥ ✻✾ ❧❛♥❣✉❛❣❡s ❛✈❣✳ ✷✲✸✵✵❑ ❞♦✇♥❧♦❛❞s ✭❡✈❡r② r❡❧❡❛s❡✮ ❛❧♠♦st ✸▼ ❞♦✇♥❧♦❛❞s ✐♥ t♦t❛❧ ❧❛st ②❡❛r ✶✽❑ ❝♦♠♠✐ts ❜② ✷✹✷ ❝♦♥tr✐❜✉t♦rs ❧❛st ②❡❛r ✶✵✲✷✵ ❛❝t✐✈❡ ❝♦♥tr✐❜✉t♦rs ♣❡r ♠♦♥t❤ ❈✉rr❡♥t ✈❡rs✐♦♥ st❛❜❧❡ ✈❡rs✐♦♥ ✿ ✸✳✺✳✻ ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✸ ✴ ✶✸

❛✈❛✐❧❛❜❧❡ ✐♥ ✻✾ ❧❛♥❣✉❛❣❡s ❛✈❣✳ ✷✲✸✵✵❑ ❞♦✇♥❧♦❛❞s ✭❡✈❡r② r❡❧❡❛s❡✮ ❛❧♠♦st ✸▼ ❞♦✇♥❧♦❛❞s ✐♥ t♦t❛❧ ❧❛st ②❡❛r ✶✽❑ ❝♦♠♠✐ts ❜② ✷✹✷ ❝♦♥tr✐❜✉t♦rs ❧❛st ②❡❛r ✶✵✲✷✵ ❛❝t✐✈❡ ❝♦♥tr✐❜✉t♦rs ♣❡r ♠♦♥t❤ ❈✉rr❡♥t ✈❡rs✐♦♥ st❛❜❧❡ ✈❡rs✐♦♥ ✿ ✸✳✺✳✻ ✐♥ ❞❡✈❡❧♦♣♠❡♥t ✿ ✹✳✵ ✭❝✉rr❡♥t❧② ✹✳✵✳✵✲❛❧♣❤❛✷✮ ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✸ ✴ ✶✸

❛✈❣✳ ✷✲✸✵✵❑ ❞♦✇♥❧♦❛❞s ✭❡✈❡r② r❡❧❡❛s❡✮ ❛❧♠♦st ✸▼ ❞♦✇♥❧♦❛❞s ✐♥ t♦t❛❧ ❧❛st ②❡❛r ✶✽❑ ❝♦♠♠✐ts ❜② ✷✹✷ ❝♦♥tr✐❜✉t♦rs ❧❛st ②❡❛r ✶✵✲✷✵ ❛❝t✐✈❡ ❝♦♥tr✐❜✉t♦rs ♣❡r ♠♦♥t❤ ❈✉rr❡♥t ✈❡rs✐♦♥ st❛❜❧❡ ✈❡rs✐♦♥ ✿ ✸✳✺✳✻ ✐♥ ❞❡✈❡❧♦♣♠❡♥t ✿ ✹✳✵ ✭❝✉rr❡♥t❧② ✹✳✵✳✵✲❛❧♣❤❛✷✮ ❛✈❛✐❧❛❜❧❡ ✐♥ ✻✾ ❧❛♥❣✉❛❣❡s ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✸ ✴ ✶✸

❛❧♠♦st ✸▼ ❞♦✇♥❧♦❛❞s ✐♥ t♦t❛❧ ❧❛st ②❡❛r ✶✽❑ ❝♦♠♠✐ts ❜② ✷✹✷ ❝♦♥tr✐❜✉t♦rs ❧❛st ②❡❛r ✶✵✲✷✵ ❛❝t✐✈❡ ❝♦♥tr✐❜✉t♦rs ♣❡r ♠♦♥t❤ ❈✉rr❡♥t ✈❡rs✐♦♥ st❛❜❧❡ ✈❡rs✐♦♥ ✿ ✸✳✺✳✻ ✐♥ ❞❡✈❡❧♦♣♠❡♥t ✿ ✹✳✵ ✭❝✉rr❡♥t❧② ✹✳✵✳✵✲❛❧♣❤❛✷✮ ❛✈❛✐❧❛❜❧❡ ✐♥ ✻✾ ❧❛♥❣✉❛❣❡s ❛✈❣✳ ✷✲✸✵✵❑ ❞♦✇♥❧♦❛❞s ✭❡✈❡r② r❡❧❡❛s❡✮ ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✸ ✴ ✶✸

✶✽❑ ❝♦♠♠✐ts ❜② ✷✹✷ ❝♦♥tr✐❜✉t♦rs ❧❛st ②❡❛r ✶✵✲✷✵ ❛❝t✐✈❡ ❝♦♥tr✐❜✉t♦rs ♣❡r ♠♦♥t❤ ❈✉rr❡♥t ✈❡rs✐♦♥ st❛❜❧❡ ✈❡rs✐♦♥ ✿ ✸✳✺✳✻ ✐♥ ❞❡✈❡❧♦♣♠❡♥t ✿ ✹✳✵ ✭❝✉rr❡♥t❧② ✹✳✵✳✵✲❛❧♣❤❛✷✮ ❛✈❛✐❧❛❜❧❡ ✐♥ ✻✾ ❧❛♥❣✉❛❣❡s ❛✈❣✳ ✷✲✸✵✵❑ ❞♦✇♥❧♦❛❞s ✭❡✈❡r② r❡❧❡❛s❡✮ ❛❧♠♦st ✸▼ ❞♦✇♥❧♦❛❞s ✐♥ t♦t❛❧ ❧❛st ②❡❛r ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✸ ✴ ✶✸

✶✵✲✷✵ ❛❝t✐✈❡ ❝♦♥tr✐❜✉t♦rs ♣❡r ♠♦♥t❤ ❈✉rr❡♥t ✈❡rs✐♦♥ st❛❜❧❡ ✈❡rs✐♦♥ ✿ ✸✳✺✳✻ ✐♥ ❞❡✈❡❧♦♣♠❡♥t ✿ ✹✳✵ ✭❝✉rr❡♥t❧② ✹✳✵✳✵✲❛❧♣❤❛✷✮ ❛✈❛✐❧❛❜❧❡ ✐♥ ✻✾ ❧❛♥❣✉❛❣❡s ❛✈❣✳ ✷✲✸✵✵❑ ❞♦✇♥❧♦❛❞s ✭❡✈❡r② r❡❧❡❛s❡✮ ❛❧♠♦st ✸▼ ❞♦✇♥❧♦❛❞s ✐♥ t♦t❛❧ ❧❛st ②❡❛r ✶✽❑ ❝♦♠♠✐ts ❜② ✷✹✷ ❝♦♥tr✐❜✉t♦rs ❧❛st ②❡❛r ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✸ ✴ ✶✸

❈✉rr❡♥t ✈❡rs✐♦♥ st❛❜❧❡ ✈❡rs✐♦♥ ✿ ✸✳✺✳✻ ✐♥ ❞❡✈❡❧♦♣♠❡♥t ✿ ✹✳✵ ✭❝✉rr❡♥t❧② ✹✳✵✳✵✲❛❧♣❤❛✷✮ ❛✈❛✐❧❛❜❧❡ ✐♥ ✻✾ ❧❛♥❣✉❛❣❡s ❛✈❣✳ ✷✲✸✵✵❑ ❞♦✇♥❧♦❛❞s ✭❡✈❡r② r❡❧❡❛s❡✮ ❛❧♠♦st ✸▼ ❞♦✇♥❧♦❛❞s ✐♥ t♦t❛❧ ❧❛st ②❡❛r ✶✽❑ ❝♦♠♠✐ts ❜② ✷✹✷ ❝♦♥tr✐❜✉t♦rs ❧❛st ②❡❛r ✶✵✲✷✵ ❛❝t✐✈❡ ❝♦♥tr✐❜✉t♦rs ♣❡r ♠♦♥t❤ ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✸ ✴ ✶✸

✐♠♣r♦✈❡❞ s✉♣♣♦rt ❢♦r st♦r❡❞ r♦✉t✐♥❡s✱ ❡✈❡♥ts ❛♥❞ tr✐❣❣❡rs ♦♣❡♥●■❙ s✉♣♣♦rt ❉r✐③③❧❡ s✉♣♣♦rt ✐♠♣r♦✈❡❞ ❊◆❯▼✴❙❊❚ ❡❞✐t♦r ❲❤❛t✬s ♥❡✇ ✐♥ ✸✳✺ ❋❡❛t✉r❡s ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✹ ✴ ✶✸

♦♣❡♥●■❙ s✉♣♣♦rt ❉r✐③③❧❡ s✉♣♣♦rt ✐♠♣r♦✈❡❞ ❊◆❯▼✴❙❊❚ ❡❞✐t♦r ❲❤❛t✬s ♥❡✇ ✐♥ ✸✳✺ ❋❡❛t✉r❡s ✐♠♣r♦✈❡❞ s✉♣♣♦rt ❢♦r st♦r❡❞ r♦✉t✐♥❡s✱ ❡✈❡♥ts ❛♥❞ tr✐❣❣❡rs ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✹ ✴ ✶✸

❉r✐③③❧❡ s✉♣♣♦rt ✐♠♣r♦✈❡❞ ❊◆❯▼✴❙❊❚ ❡❞✐t♦r ❲❤❛t✬s ♥❡✇ ✐♥ ✸✳✺ ❋❡❛t✉r❡s ✐♠♣r♦✈❡❞ s✉♣♣♦rt ❢♦r st♦r❡❞ r♦✉t✐♥❡s✱ ❡✈❡♥ts ❛♥❞ tr✐❣❣❡rs ♦♣❡♥●■❙ s✉♣♣♦rt ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✹ ✴ ✶✸

✐♠♣r♦✈❡❞ ❊◆❯▼✴❙❊❚ ❡❞✐t♦r ❲❤❛t✬s ♥❡✇ ✐♥ ✸✳✺ ❋❡❛t✉r❡s ✐♠♣r♦✈❡❞ s✉♣♣♦rt ❢♦r st♦r❡❞ r♦✉t✐♥❡s✱ ❡✈❡♥ts ❛♥❞ tr✐❣❣❡rs ♦♣❡♥●■❙ s✉♣♣♦rt ❉r✐③③❧❡ s✉♣♣♦rt ❉✐❡t❡r ❆❞r✐❛❡♥ss❡♥s ✭♣❤♣▼②❆❞♠✐♥✮ ❚❤❡ ♣r❡s❡♥t ❛♥❞ ❢✉t✉r❡ ♦❢ ♣❤♣▼②❆❞♠✐♥ ❋❖❙❉❊▼ ✲ ✸❋❡❜✷✵✶✸ ✹ ✴ ✶✸