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  1. ❈❋❉ ④ ❙♦❧✉t✐♦♥ ▼♦❞❡❧❧✐♥❣ ❙♦✉r❝❡s ♦❢ ❊rr♦r ❚✉r❜✉❧❡♥❝❡ ❉✐r❡❝t ❈❋❉ ④ ❙♦❧✉t✐♦♥ ▼♦❞❡❧❧✐♥❣ ◆✉♠❡r✐❝❛❧ ❙✐♠✉❧❛t✐♦♥ ④ ❉◆❙ ❚✉r❜✉❧❡♥❝❡ ♠♦❞❡❧❧✐♥❣ ❚❤❡ ❦ � ✎ ♠♦❞❡❧ ❇♦✉♥❞❛r② ❈♦♥❞✐t✐♦♥s ❙❖❊✸✷✶✸✴✹✿ ❈❋❉ ▲❡❝t✉r❡ ✹ ❲❛❧❧ ❢✉♥❝t✐♦♥s ❆❞✈❛♥t❛❣❡s ❛♥❞ ❉✐s❛❞✈❛♥t❛❣❡s

  2. ❈❋❉ ④ ❙♦❧✉t✐♦♥ ❙♦✉r❝❡s ♦❢ ❡rr♦r ✐♥ ❈❋❉ ▼♦❞❡❧❧✐♥❣ ❙♦✉r❝❡s ♦❢ ❊rr♦r ✸ ❜❛s✐❝ ❝❛t❡❣♦r✐❡s ❚✉r❜✉❧❡♥❝❡ ✎ ▼♦❞❡❧❧✐♥❣ ❡rr♦rs ❉✐r❡❝t ◆✉♠❡r✐❝❛❧ ✎ ❉✐s❝r❡t✐s❛t✐♦♥ ❡rr♦rs ❙✐♠✉❧❛t✐♦♥ ④ ❉◆❙ ✎ ❈♦♥✈❡r❣❡♥❝❡ ❡rr♦rs ❚✉r❜✉❧❡♥❝❡ ♠♦❞❡❧❧✐♥❣ ❚②♣❡s ♦❢ ♣r♦❜❧❡♠ ✿ ❚❤❡ ❦ � ✎ ♠♦❞❡❧ ❙t❛❜✐❧✐t②✳ ▼❡t❤♦❞ ✐s st❛❜❧❡ ✐❢ ✐t ❞♦❡s ♥♦t ♠❛❣♥✐❢② ♥✉♠❡r✐❝❛❧ ❇♦✉♥❞❛r② ❡rr♦rs✳ ❈♦✉r❛♥t ♥✉♠❜❡r ✐♠♣♦rt❛♥t ✿ ❈♦♥❞✐t✐♦♥s ❲❛❧❧ ❢✉♥❝t✐♦♥s ◆ ❈ ❂ ✉ ✍ t ❆❞✈❛♥t❛❣❡s ❛♥❞ ✍ ① ❉✐s❛❞✈❛♥t❛❣❡s ■♠♣❧✐❝✐t ♠❡t❤♦❞s ◆ ❈ ❃ ✶✱ ❜✉t ❧❛r❣❡ ✈❛❧✉❡s ❜❡st ❛✈♦✐❞❡❞✳

  3. ❈❋❉ ④ ❙♦❧✉t✐♦♥ ▼♦❞❡❧❧✐♥❣ ❈♦♥s✐st❡♥❝②✳ ❍♦✇ ❝❧♦s❡❧② ❞♦❡s ❞✐s❝r❡t✐s❡❞ s♦❧✉t✐♦♥ ❛♣♣r♦❛❝❤ ❙♦✉r❝❡s ♦❢ tr✉❡ s♦❧✉t✐♦♥❄ ■❢ t❤❡ ♦r✐❣✐♥❛❧ ❡q✉❛t✐♦♥s ❝❛♥ ❜❡ ❊rr♦r ❚✉r❜✉❧❡♥❝❡ r❡❝♦✈❡r❡❞ ❛s ✍ ① ✦ ✵✱ t❤❡♥ t❤❡② ❛r❡ ❝♦♥s✐st❡♥t ✳ ❉✐r❡❝t ■❢ t❤❡ s❝❤❡♠❡ ✐s ❝♦♥s✐st❡♥t ❛♥❞ st❛❜❧❡✱ t❤❡ ◆✉♠❡r✐❝❛❧ ❙✐♠✉❧❛t✐♦♥ ④ ♥✉♠❡r✐❝❛❧ s♦❧✉t✐♦♥ s❤♦✉❧❞ ❝♦♥✈❡r❣❡ t♦ t❤❡ tr✉❡ ❉◆❙ ❚✉r❜✉❧❡♥❝❡ s♦❧✉t✐♦♥ ❛s ✍ ① ✦ ✵✳ ♠♦❞❡❧❧✐♥❣ ❈♦♥s❡r✈❛t✐♦♥ ✫ ❇♦✉♥❞❡❞♥❡ss ◆❙❊ ✑ ❝♦♥s❡r✈❛t✐♦♥ ♦❢ ♠❛ss✱ ❚❤❡ ❦ � ✎ ♠♦❞❡❧ ♠♦♠❡♥t✉♠ ✭❡♥❡r❣②✮✳ ❖✉r ♥✉♠❡r✐❝❛❧ s❝❤❡♠❡ ❇♦✉♥❞❛r② s❤♦✉❧❞ ❝♦♥s❡r✈❡ t❤❡s❡ ♣r♦♣❡rt✐❡s✳ ❈♦♥❞✐t✐♦♥s ❲❛❧❧ ❢✉♥❝t✐♦♥s ❙♦♠❡ q✉❛♥t✐t✐❡s ❜♦✉♥❞❡❞ ✭❡❣✳ ♣❤❛s❡ ❢r❛❝t✐♦♥ ☛ ✮✳ ❆❞✈❛♥t❛❣❡s ▼❛t❤❡♠❛t✐❝❛❧ ♠♦❞❡❧s s❤♦✉❧❞ ❛t ❧❡❛st s❛t✐s❢② t❤✐s✳ ❛♥❞ ❉✐s❛❞✈❛♥t❛❣❡s ◆✉♠❡r✐❝❛❧ ✐♠♣❧❡♠❡♥t❛t✐♦♥ s❤♦✉❧❞ ❛❧s♦ s❛t✐s❢② t❤✐s✳

  4. ❈❋❉ ④ ❙♦❧✉t✐♦♥ ❚✉r❜✉❧❡♥❝❡ ▼♦❞❡❧❧✐♥❣ ✎ ❙t❛t❡ ♦❢ ✌✉✐❞ ✌♦✇ ④ st✐❧❧ ♦❜❡②s ◆❙❊ ❙♦✉r❝❡s ♦❢ ❊rr♦r ✎ ❈❤❛r❛❝t❡r✐s❡ ❜② ❘❡②♥♦❧❞s ♥✉♠❜❡r ❚✉r❜✉❧❡♥❝❡ ❉✐r❡❝t ❘ ❡ ❂ ❯▲ ◆✉♠❡r✐❝❛❧ ❙✐♠✉❧❛t✐♦♥ ④ ✗ ❉◆❙ ❚✉r❜✉❧❡♥❝❡ ❘❛t✐♦ ♦❢ ❝♦♥✈❡❝t✐✈❡ t♦ ✈✐s❝♦✉s ❡☛❡❝ts✳ ❘ ❡ ❃ ❘ ❡ ❝ ④ ♠♦❞❡❧❧✐♥❣ t✉r❜✉❧❡♥❝❡ ❚❤❡ ❦ � ✎ ♠♦❞❡❧ ❇♦✉♥❞❛r② P❤②s✐❝❛❧ ♣✐❝t✉r❡ ④ ❝♦❧❧❡❝t✐♦♥ ♦❢ ❡❞❞✐❡s ❛t ❞✐☛❡r❡♥t s❝❛❧❡s✳ ❈♦♥❞✐t✐♦♥s ❲❛❧❧ ❢✉♥❝t✐♦♥s ❆❞✈❛♥t❛❣❡s ❛♥❞ ❉✐s❛❞✈❛♥t❛❣❡s

  5. ❈❋❉ ④ ❙♦❧✉t✐♦♥ ❉✐r❡❝t ◆✉♠❡r✐❝❛❧ ❙✐♠✉❧❛t✐♦♥ ④ ▼♦❞❡❧❧✐♥❣ ❉◆❙ ❙♦✉r❝❡s ♦❢ ❊rr♦r ❚✉r❜✉❧❡♥❝❡ ♦❜❡②s ◆❙❊ ④ ❝❛♥ ✇❡ ♥♦t ❥✉st s✐♠✉❧❛t❡ ✐t❄ ❚✉r❜✉❧❡♥❝❡ ❉✐r❡❝t ✎ ▲❛r❣❡st s❝❛❧❡ ✑ ▲❛r❣❡ ❊❞❞② ❙❝❛❧❡ ▲ ④ s✐③❡ ♦❢ ❞♦♠❛✐♥ ◆✉♠❡r✐❝❛❧ ❙✐♠✉❧❛t✐♦♥ ④ ✎ ❙♠❛❧❧❡st s❝❛❧❡ ④ ❑♦❧♠♦❣♦r♦✈ ❧❡♥❣t❤ s❝❛❧❡ ✑ ④ ✈✐s❝♦✉s ❉◆❙ ❚✉r❜✉❧❡♥❝❡ ❡☛❡❝ts ❞♦♠✐♥❛t❡✳ ♠♦❞❡❧❧✐♥❣ ✎ ❲♦✉❧❞ ♥❡❡❞ t♦ r❡s♦❧✈❡ ❞♦✇♥ t♦ ❧❡♥❣t❤ s❝❛❧❡ ✑ ✳ ❋♦r ❚❤❡ ❦ � ✎ ♠♦❞❡❧ ❘ ❡ ✘ ✺✵✵ ❀ ✵✵✵ ✭❝❛r tr❛✈❡❧❧✐♥❣ ❛t ✷✵ ❦♠ ❂ ❤r ✮ ♥❡❡❞ ❇♦✉♥❞❛r② ❈♦♥❞✐t✐♦♥s ✓ ✸ ✒ ▲ ❲❛❧❧ ❢✉♥❝t✐♦♥s ❂ ✶✵ ✶✷ ❝❡❧❧s ✑ ❆❞✈❛♥t❛❣❡s ❛♥❞ ❉✐s❛❞✈❛♥t❛❣❡s ✎ ❲❡❧❧ ❜❡②♦♥❞ ✇❤❛t ✐s ♣♦ss✐❜❧❡✳ ■♥ ❣❡♥❡r❛❧✱ ◆ ❈❡❧❧s ✘ ❘ ❡ ✾ ❂ ✹

  6. ❈❋❉ ④ ❙♦❧✉t✐♦♥ ❚✉r❜✉❧❡♥❝❡ ♠♦❞❡❧❧✐♥❣ ▼♦❞❡❧❧✐♥❣ ❙♦✉r❝❡s ♦❢ ◆❡❡❞ t♦ r❡❞✉❝❡ t❤❡ ❝♦♠♣❧❡①✐t② ♦❢ t❤❡ ♣r♦❜❧❡♠✳ ❊rr♦r ❚✉r❜✉❧❡♥❝❡ P❤②s✐❝❛❧ ♣✐❝t✉r❡ ④ t✉r❜✉❧❡♥❝❡ ✐s ♠❡❛♥ ✌♦✇ ♣❧✉s ✌✉❝t✉❛t✐♦♥s ✳ ❉✐r❡❝t ◆✉♠❡r✐❝❛❧ ✉ ❂ ✉ ✰ ✉ ✵ ❙✐♠✉❧❛t✐♦♥ ④ ❉◆❙ ❚✉r❜✉❧❡♥❝❡ ❚❤✐s ❝♦✉❧❞ ❜❡ ❛ t✐♠❡ ❛✈❡r❛❣❡✱ ❢♦r ✐♥st❛♥❝❡ ♠♦❞❡❧❧✐♥❣ ❚❤❡ ❦ � ✎ ❩ t ✰ ✍ t ♠♦❞❡❧ ✉ ① ❂ ✶ ✉ ① ❞t ❇♦✉♥❞❛r② ✍ t ❈♦♥❞✐t✐♦♥s t ❲❛❧❧ ❢✉♥❝t✐♦♥s ◆♦t❡ t❤❛t ❆❞✈❛♥t❛❣❡s ① ❂ ✵ ❜✉t ✉ ✵ ✷ ① ✻ ❂ ✵ ✉ ✵ ❛♥❞ ❉✐s❛❞✈❛♥t❛❣❡s ❛♥❞ ✶ ✷ ✉ ✵ ✷ ❦✐♥❡t✐❝ ❡♥❡r❣② ♦❢ ✌♦✇ ①

  7. ❈❋❉ ④ ❙♦❧✉t✐♦♥ ▼♦❞❡❧❧✐♥❣ ❆♣♣❧② t❤✐s ❛✈❡r❛❣✐♥❣ t♦ t❤❡ ♠♦♠❡♥t✉♠ ❡q✉❛t✐♦♥ ❙♦✉r❝❡s ♦❢ ❊rr♦r ❅ ✉ ❅ t ✰ r ✿ ✭ ✉ ✉ ✮ ❂ � ✶ ❚✉r❜✉❧❡♥❝❡ ✚ r ♣ ✰ ✗ r ✷ ✉ ❉✐r❡❝t ◆✉♠❡r✐❝❛❧ ❙✐♠✉❧❛t✐♦♥ ④ ❣✐✈❡s ❘❡②♥♦❧❞s ❡q✉❛t✐♦♥ ✿ ❉◆❙ ❚✉r❜✉❧❡♥❝❡ ♠♦❞❡❧❧✐♥❣ ❅ ✉ ❅ t ✰ r ✿ ✭ ✉ ✉ ✮ ✰ r ✿ ❘ ❂ � ✶ ✚ r ♣ ✰ ✗ r ✷ ✉ ❚❤❡ ❦ � ✎ ♠♦❞❡❧ ❇♦✉♥❞❛r② ❈♦♥❞✐t✐♦♥s ✎ ❘ ✐s ❝❛❧❧❡❞ t❤❡ ❘❡②♥♦❧❞s str❡ss ❲❛❧❧ ❢✉♥❝t✐♦♥s ✎ ❘❡♣r❡s❡♥ts t❤❡ ❡☛❡❝t ♦❢ t❤❡ ✌✉❝t✉❛t✐♥❣ ❝♦♠♣♦♥❡♥ts ♦♥ t❤❡ ❆❞✈❛♥t❛❣❡s ❛♥❞ ♠❡❛♥ ✌♦✇ ❉✐s❛❞✈❛♥t❛❣❡s

  8. ❈❋❉ ④ ❙♦❧✉t✐♦♥ ▼♦❞❡❧❧✐♥❣ ✎ ❈❧♦s✉r❡ ♣r♦❜❧❡♠ ④ ❛❞❞✐t✐♦♥❛❧ ✉♥❦♥♦✇♥ ✈❛r✐❛❜❧❡s ✭✹ ❡q✉❛t✐♦♥s✱ ♠♦r❡ ✉♥❦♥♦✇♥s✮ ❙♦✉r❝❡s ♦❢ ❊rr♦r ✎ ▼♦❞❡❧ ❘ s♦♠❡❤♦✇ ❚✉r❜✉❧❡♥❝❡ ❉✐r❡❝t ◆✉♠❡r✐❝❛❧ ❚✉r❜✉❧❡♥❝❡ ♦❢t❡♥ s❡❡♥ t♦ ❤❛✈❡ ❛ ❞✐☛✉s✐✈❡ ❡☛❡❝t ④ ♠♦❞❡❧ ❙✐♠✉❧❛t✐♦♥ ④ t✉r❜✉❧❡♥❝❡ ❛s ❛ ❞✐☛✉s✐✈❡ t❡r♠ ❉◆❙ ❚✉r❜✉❧❡♥❝❡ ♠♦❞❡❧❧✐♥❣ r ✿ ❘ ❂ ✗ t✉r❜ r ✷ ✉ ❚❤❡ ❦ � ✎ ♠♦❞❡❧ ✗ t✉r❜ ✐s t❤❡ t✉r❜✉❧❡♥t ✈✐s❝♦s✐t② ✳ ❚❤✐s ✐s ❦♥♦✇♥ ❛s t❤❡ ❡❞❞② ❇♦✉♥❞❛r② ❈♦♥❞✐t✐♦♥s ✈✐s❝♦s✐t② ✱ ♦r ❇♦✉ss✐♥❡sq ❛♣♣r♦①✐♠❛t✐♦♥✳ ❲❛❧❧ ❢✉♥❝t✐♦♥s ■❢ ✶ ✈❡❧♦❝✐t② s❝❛❧❡ ✈ t ❛♥❞ ✶ ❧❡♥❣t❤ s❝❛❧❡ ❧ t ❝❛♥ ❜❡ ✉s❡❞ t♦ ❆❞✈❛♥t❛❣❡s ❛♥❞ ❞❡s❝r✐❜❡ t❤❡ ❡☛❡❝ts ♦❢ t✉r❜✉❧❡♥❝❡✱ t❤❡♥ ❉✐s❛❞✈❛♥t❛❣❡s ✗ t ❂ ❈✈ t ❧ t ♦♥ ❞✐♠❡♥s✐♦♥❛❧ ❣r♦✉♥❞s

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