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  1. ✷✵✶✸❲✶✲❧❡❝t✉r❡✷ ❙❡♣t❡♠❜❡r ✶✻✱ ✷✵✶✸ ❈♦♥t❡♥ts ✶ ◗✉❡st✐♦♥ ♦❢ t❤❡ ❉❛② ✶ ✶✳✶ ❙♦❧✉t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷ ✷ ❉❖◆❊ ▲♦❣✐st✐❝s ✸ ✷✳✶ ❉❖◆❊ Pr❡r❡q ❧❡tt❡rs ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸ ✷✳✷ ❉❖◆❊ Pr♦❣r❛♠♠✐♥❣ ❆ss✐❣♥♠❡♥t ❛♥❞ ◗✉✐③ ❞❛t❡s✴t✐♠❡s ✳ ✳ ✳ ✸ ✷✳✸ ❉❖◆❊ ❍♦✇ ❉♦ ■ ●❡t ❙t❡✈❡✬s ④❆✇❡s♦♠❡✱ Pr✐♠✐t✐✈❡✱ ❲❤❛❝❦❡❞✲ ❖✉t⑥ ❚❡①t ❊❞✐t♦r❄ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸ ✷✳✹ ▼❡❡t ②♦✉r ❚❆s✦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹ ✸ ❉❖◆❊ ❋✐♥✐s❤✐♥❣ ▲❛st ▲❡❝t✉r❡ ✿✮ ✹ ✹ ❈♦♥❝r❡t❡ ❙②♥t❛①✱ P❛rs✐♥❣✱ ❛♥❞ ❆❜str❛❝t ❙②♥t❛① ✹ ✹✳✶ ❊①t❡♥❞✐♥❣ t❤❡ P❛rs❡r t♦ ✏◆♦♥✲❉❡t❡r♠✐♥✐st✐❝ ❱❛❧✉❡s✑ ✳ ✳ ✳ ✳ ✳ ✻ ✺ ❲❤❛t ❤❛✈❡ ✇❡ ❧❡❛r♥❡❞ t♦❞❛②❄ ✽ ✶ ◗✉❡st✐♦♥ ♦❢ t❤❡ ❉❛② ❨♦✉ ❤❛✈❡ ❛ ❝♦❧❧❡❝t✐♦♥ ♦❢ ❛ss♦❝✐❛t✐♦♥s✿ ♥❛♠❡s ❛♥❞ ✈❛❧✉❡s✳ ✭❋♦r ❡①❛♠♣❧❡✱ t❤❡ ✈❛r✐❛❜❧❡s ✐♥ ❛ ❢✉♥❝t✐♦♥✳✮ ●✐✈❡♥ ❛ ♥❛♠❡✱ ②♦✉ ✇❛♥t t♦ ✜♥❞ ❛♥❞✴♦r s❡t ✐ts ✈❛❧✉❡✳ ❇r❛✐♥st♦r♠ ❢❛st ✇❛②s t♦ ❞♦ ✐t✳ ❲❤❛t ❛r❡ s♦♠❡ ♦❢ t❤❡ ❢❛st❡st ②♦✉r ♥❡✐❣❤❜♦r❤♦♦❞ ❝❛♥ ❝♦♠❡ ✉♣ ✇✐t❤❄ ✶

  2. ✶✳✶ ❙♦❧✉t✐♦♥ ❆♥ ✉♥♦r❞❡r❡❞ ❧✐st ♦❢ ❦❡②✴✈❛❧✉❡ ♣❛✐rs ✇♦✉❧❞ ❜❡ ❛ ♣r❡tt② s❧♦✇ ✇❛② t♦ ❞♦ ✐t✱ ❜✉t t❤❛t✬s ✇❤❛t ✇❡✬❧❧ ❞♦ ❢♦r ❛ ✇❤✐❧❡✳ ❲❤②❄ ❇❡❝❛✉s❡ ✐t ✇♦♥✬t r❡❛❧❧② ❜❡ ✏✉♥♦r❞❡r❡❞✑✳ ❲❡✬❧❧ ✉s❡ t❤❡ ♦r❞❡r t♦ ❞❡s❝r✐❜❡ s♦♠❡t❤✐♥❣ ❡❧s❡✿ s❝♦♣❡ ✱ ✇❤❡r❡ ❛♥❞ ✇❤❡♥ ❛♥ ✐❞❡♥t✐✜❡r ✭❧✐❦❡ ❛ ✈❛r✐❛❜❧❡ ♥❛♠❡✮ ✐s ✈✐s✐❜❧❡✳ ❖t❤❡r ❢❛st❡r ✇❛②s✿ ❼ ❖r❞❡r❡❞ ❧✐st❄ ❼ ❇✐♥❛r② s❡❛r❝❤ tr❡❡ ❼ ❙❡❧❢✲❜❛❧❛♥❝✐♥❣ ❜✐♥❛r② s❡❛r❝❤ tr❡❡ ❼ ❙♣❧❛② tr❡❡s ✭✇❤❛t❡✈❡r t❤❡② ❛r❡✮ ❼ ❍❛s❤ ❚❛❜❧❡ ✭♥♦t ❡✈❡♥ ❝❧♦s❡ t♦ t❤❡ ❢❛st❡st ✇❛②✮ ◆♦✇✱ ✇❤❛t ✐❢ ❛❧❧ t❤❡ ❦❡②s ✇❡r❡ ❥✉st ✐♥❞❡①❡s ♦❢ ❛♥ ❛rr❛②❄ ▲♦♦❦✉♣ ✇♦✉❧❞ ❜❡ ❜❧❛③✐♥❣❧② ❢❛st✳ ❚❤❛t✬s ❡✛❡❝t✐✈❡❧② ✇❤❛t ❝♦♠♣✐❧❡rs ❞♦ ✇✐t❤ ✈❛r✐❛❜❧❡ ❧♦♦❦✉♣✿ st❛t✐❝❛❧❧② r❡♣❧❛❝❡ t❤❡ ❧♦♦❦✉♣ ✇✐t❤ t❤❡ ❛❞❞r❡ss ♦❢ t❤❡ ✈❛❧✉❡✦ ❚r② ❝♦♠♣✐❧✐♥❣ t❤✐s ❝♦❞❡ ✐♥ ❈ t♦ ❛ss❡♠❜❧② ❛♥❞ ❧♦♦❦ ❢♦r t❤❡ ♥❛♠❡s ♦❢ t❤❡ ✈❛r✐❛❜❧❡s✳ ❆r❡ t❤❡② t❤❡r❡❄ ✐♥t ✐❀ ✐♥t ♥❀ ✐♥t s✉♠ ❂ ✵❀ ✴✯ ❲❤❡♥ ■ ❡①❡❝✉t❡ t❤✐s ✐♥s✐❞❡ t❤❡ ❜❧♦❝❦✱ ✐t ❞♦❡s♥✬t ❛s❦ ♠❡ ❢♦r ❛ ♥✉♠❜❡r❀ ✐t ❥✉st ✉s❡s ✹✼ ❢♦r s♦♠❡ r❡❛s♦♥✳ ❲❡❧❧✱ ❖❑✦ ✯✴ s❝❛♥❢✭✧❊♥t❡r ❛ ♣♦s✐t✐✈❡ ✐♥t❡❣❡r✿ ✪❞✧✱ ✫♥✮❀ ❢♦r ✭✐ ❂ ✶❀ ✐ ❁❂ ♥❀ ✐✰✰✮ s✉♠ ✰❂ ✐❀ ♣r✐♥t❢✭✧❚❤❡ s✉♠ ❢r♦♠ ✶ t♦ ✪❞ ✐s✿ ✪❞✳❭♥✧✱ ♥✱ s✉♠✮❀ ❇❡❧♦✇ ✐s t❤❡ ❧♦♦♣ ✐♥ ♠❛✐♥ ✳ ❈❤❡❝❦ ♦✉t t❤❡ ❧✐♥❡ ❜❡❢♦r❡ ▲✷✿ ✱ ✇❤❡r❡ ✇❡ ❛❞❞ ✶ t♦ ✐ ✳ ✐ ✐ts❡❧❢ ✭t❤❡ ♥❛♠❡✮ ✐s ❣♦♥❡✳ ✐ ✬s ✈❛❧✉❡ ✐s st♦r❡❞ ✷✽ ❜②t❡s ❛❢t❡r t❤❡ ❛❞❞r❡ss st♦r❡❞ ✐♥ ✪❡s♣ ✳ ✪❡s♣ ✐s t❤❡ ✏st❛❝❦ ♣♦✐♥t❡r✑✳ ■t ❜❛s✐❝❛❧❧② ❤♦❧❞s t❤❡ ❛❞❞r❡ss ✇❤❡r❡ t❤❡ ❝✉rr❡♥t ❢✉♥❝t✐♦♥✬s ❧♦❝❛❧ ✈❛r✐❛❜❧❡s ❧✐✈❡✳ ❈❛♥ ②♦✉ ✜♥❞ ♥ ❛♥❞ s✉♠ ❄ ✷

  3. ✳✳✳ ♠♦✈❧ ✩✶✱ ✷✽✭✪❡s♣✮ ❥♠♣ ▲✷ ▲✸✿ ♠♦✈❧ ✷✽✭✪❡s♣✮✱ ✪❡❛① ❛❞❞❧ ✪❡❛①✱ ✷✹✭✪❡s♣✮ ❛❞❞❧ ✩✶✱ ✷✽✭✪❡s♣✮ ▲✷✿ ♠♦✈❧ ✷✵✭✪❡s♣✮✱ ✪❡❛① ❝♠♣❧ ✪❡❛①✱ ✷✽✭✪❡s♣✮ ❥❧❡ ▲✸ ✳✳✳ ✷ ❉❖◆❊ ▲♦❣✐st✐❝s ✷✳✶ ❉❖◆❊ Pr❡r❡q ❧❡tt❡rs ✷✳✷ ❉❖◆❊ Pr♦❣r❛♠♠✐♥❣ ❆ss✐❣♥♠❡♥t ❛♥❞ ◗✉✐③ ❞❛t❡s✴t✐♠❡s ❼ P❆s✿ ❞✉❡ ❋r✐❞❛②s ❛t ✽P▼ r✐❣❤t ♥♦✇ ✭♥❡①t ♦♥❡✿ ✶✸ ❙❡♣ ❅ ✽P▼✦✮ ❼ ◗✉✐③③❡s✿ st❛rt ♦❢ ❝❧❛ss ❲❡❞✬s r✐❣❤t ♥♦✇✳ ✭♥❡①t ♦♥❡✿ ❲❡❞♥❡s❞❛②✦✮ ✕ ❚❤♦✉❣❤ts ♦♥ ❤♦✇ t♦ ❛❧❧♦✇ t❤♦s❡ ♥♦t ❛tt❡♥❞✐♥❣ t♦ ♣❛rt✐❝✐♣❛t❡❄ ✭❋♦r ♣❡❞❛❣♦❣✐❝❛❧ r❡❛s♦♥s✱ ✇❡ ♠✉st ❣✐✈❡ t❤❡ ❝♦rr❡❝t ❛♥s✇❡rs ✐♠✲ ♠❡❞✐❛t❡❧② ❛❢t❡r t❛❦✐♥❣ t❤❡ q✉✐③✳✮ ❼ ❈❆s✿ ❞✉❡ ❚✉❡s❞❛②s ❛t ✽P▼ r✐❣❤t ♥♦✇ ✷✳✸ ❉❖◆❊ ❍♦✇ ❉♦ ■ ●❡t ❙t❡✈❡✬s ④❆✇❡s♦♠❡✱ Pr✐♠✐t✐✈❡✱ ❲❤❛❝❦❡❞✲❖✉t⑥ ❚❡①t ❊❞✐t♦r❄ ■ ✉s❡ ❛♥ ❡❞✐t♦r ❝❛❧❧❡❞ ❡♠❛❝s✳ ■t ❞♦❡s ❡✈❡r②t❤✐♥❣ ❛♥❞ t❤❡ ❦✐t❝❤❡♥ s✐♥❦✳ ❉❡♠♦♥✲ str❛t✐♦♥✿ ▼✲① t❡tr✐s✳ ■s ❡♠❛❝s ✇♦rt❤ ❧❡❛r♥✐♥❣❄ ❉❡♣❡♥❞s ♦♥ ✇❤❡t❤❡r ②♦✉ ❤❛✈❡ tr❡♠❡♥❞♦✉s ♣❛t✐❡♥❝❡ ❛♥❞ ❢r❡❡ t✐♠❡✳ ■♥s✐❞❡ ❡♠❛❝s✱ ❖r❣ ▼♦❞❡ ❛♥❞ ✐ts ❇❛❜❡❧ ♠♦❞✉❧❡ ❧❡t ♠❡ ❞♦ ❛❧❧ t❤❡ ♥✐❢t② st✉✛ ②♦✉✬✈❡ s❡❡♥ ✐♥ ❝❧❛ss✳ ✭■✬✈❡ ♠❛❞❡ ❛ ❢❡✇ ♠✐♥♦r ❝✉st♦♠✐③❛t✐♦♥s❀ ✐❢ ②♦✉ ❤❛✈❡ tr♦✉❜❧❡ ❣❡tt✐♥❣ ✇❤❛t ■ ❣❡t✱ ♣♦st t♦ P✐❛③③❛✳ ❆s s♦♦♥ ❛s ■ ❤❛✈❡ t✐♠❡✱ ■ ✇❛♥t t♦ ❡①t❡♥❞ ❇❛❜❡❧ t♦ ❛❧❧♦✇ ❘❛❝❦❡t ♦r ✜♥❞ ✇❤❡r❡ s♦♠❡♦♥❡ ❤❛s ❛❧r❡❛❞② ❞♦♥❡ s♦✳✮ ✸

  4. ✷✳✹ ▼❡❡t ②♦✉r ❚❆s✦ ❆t t❤❡ ❡♥❞ ♦❢ ❝❧❛ss✳ ✸ ❉❖◆❊ ❋✐♥✐s❤✐♥❣ ▲❛st ▲❡❝t✉r❡ ✿✮ ✜❧❡✿✷✵✶✸❲✶✲❧❡❝t✉r❡✶✳♦r❣ ✹ ❈♦♥❝r❡t❡ ❙②♥t❛①✱ P❛rs✐♥❣✱ ❛♥❞ ❆❜str❛❝t ❙②♥t❛① ❲❤❛t ✐s ✼ ✰ ✷ ✯ ✸ ✲ ✻ ❄ ❍♦✇ ❞♦ ②♦✉ ❦♥♦✇❄ ▲❡t✬s ❞r❛✇ ❛ ✈❡rs✐♦♥ t❤❛t✬s ❜❡tt❡r ❢♦r ♣❡r❢♦r♠✐♥❣ t❤❡ ✐♠♣❧✐❡❞ ❝♦♠♣✉t❛✲ t✐♦♥✳ ✲ ✴ ❭ ✴ ❭ ✴ ❭ ✰ ✻ ✴ ❭ ✴ ❭ ✴ ❭ ✼ ✯ ✴ ❭ ✴ ❭ ✴ ❭ ✷ ✸ ✼ ✰ ✷ ✯ ✸ ✲ ✻ ✐s ❝♦♥tr❡t❡ s②♥t❛① ✱ t❤❡ t❡①t t❤❡ ♣r♦❣r❛♠♠❡r ✭♦r s♦♠❡ ♦t❤❡r ♣r♦❣r❛♠✦✮ ❝r❡❛t❡s✳ ❖✉r ❞r❛✇✐♥❣ ✐s ❛❜str❛❝t s②♥t❛① ✿ ❛♥ ✐♥t❡r♥❛❧ r❡♣r❡s❡♥t❛t✐♦♥ ♦❢ t❤❡ ♣r♦❣r❛♠✖✉s✉❛❧❧② ✐♥ tr❡❡ ❢♦r♠✿ ❛♥ ❛❜str❛❝t s②♥t❛① tr❡❡ ✖❞❡s✐❣♥❡❞ t♦ ❜❡ ❡❛s② t♦ ❢♦r t❤❡ ♥❡①t st❛❣❡ t♦ ✉s❡✳ ■♥ t❤✐s ❝❛s❡✱ ✇❡✬r❡ t❤❡ ♥❡①t st❛❣❡✳ ■❢ ❛♥ ✐♥t❡r♣r❡t❡r t♦ r✉♥ ♦✉r ♣r♦❣r❛♠ ✇❡r❡ t❤❡ ♥❡①t st❛❣❡✱ ❛ ❞r❛✇✐♥❣ ✇♦✉❧❞ ♥♦t ❜❡ ❛ ❣♦♦❞ ❛❜str❛❝t s②♥t❛①✳ ■♥st❡❛❞✱ ✇❡ ✉s❡ ❛ r❡❝✉rs✐✈❡ ❞❛t❛t②♣❡ ❧✐❦❡ t❤❡ ❆r✐t❤❈ t❤❡ ❜♦♦❦ ✐♥tr♦❞✉❝❡❞✱ ❜✉t ✐t✬s t❤❡ s❛♠❡ ✐❞❡❛ ❛s t❤❡ tr❡❡✿ ✭❞❡❢✐♥❡✲t②♣❡ ❆r✐t❤❈ ✹

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