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  1. ❊①t❡♥s✐♦♥ ♦❢ ✉♥✐✈❡rs❛❧ ❝②❝❧❡s ❢♦r ❣❧♦❜❛❧❧② ✐❞❡♥t✐❢②✐♥❣ ❝♦❧♦r✐♥❣s ♦❢ ❝②❝❧❡s P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ▲❆❆❙✲❈◆❘❙✱ ❋r❛♥❝❡ ❉✐s❝r❡t❡ ▼❛t❤s ❘❡s❡❛r❝❤ ●r♦✉♣✱ ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✶ ✴ ✶✾

  2. ✸ ✷ ✺ ✶ ✹ ❈♦❞❡s ■❞❡♥t✐❢②✐♥❣ ❝♦❞❡s ❉❡✜♥✐t✐♦♥ ❆♥ ✐❞❡♥t✐❢②✐♥❣ ❝♦❞❡ ♦❢ ❛ ❣r❛♣❤ ✐s ❛ s✉❜s❡t C ♦❢ t❤❡ ✈❡rt✐❝❡s s✉❝❤ t❤❛t✿ ❊✈❡r② ✈❡rt❡① ❤❛s ❛ ♥❡✐❣❤❜♦r ✐♥ C ✭❉♦♠✐♥❛t✐♦♥✮❀ ❊✈❡r② ✈❡rt❡① ❤❛s ❛ ✉♥✐q✉❡ ✐❞❡♥t✐✜❡r ✭■❞❡♥t✐✜❝❛t✐♦♥✮✳ ❊❛❝❤ ✈❡rt❡① ❤❛s ❛ s✉❜s❡t ♦❢ C ✐♥ ✐ts ♥❡✐❣❤❜♦r❤♦♦❞ ❛♥❞ ✐s t❤❡ ♦♥❧② ♦♥❡ t♦ ❤❛✈❡ t❤✐s s❡t✳ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✷ ✴ ✶✾

  3. ✸ ✷ ✺ ❈♦❞❡s ■❞❡♥t✐❢②✐♥❣ ❝♦❞❡s ❉❡✜♥✐t✐♦♥ ❆♥ ✐❞❡♥t✐❢②✐♥❣ ❝♦❞❡ ♦❢ ❛ ❣r❛♣❤ ✐s ❛ s✉❜s❡t C ♦❢ t❤❡ ✈❡rt✐❝❡s s✉❝❤ t❤❛t✿ ❊✈❡r② ✈❡rt❡① ❤❛s ❛ ♥❡✐❣❤❜♦r ✐♥ C ✭❉♦♠✐♥❛t✐♦♥✮❀ ❊✈❡r② ✈❡rt❡① ❤❛s ❛ ✉♥✐q✉❡ ✐❞❡♥t✐✜❡r ✭■❞❡♥t✐✜❝❛t✐♦♥✮✳ ❊❛❝❤ ✈❡rt❡① ❤❛s ❛ s✉❜s❡t ♦❢ C ✐♥ ✐ts ♥❡✐❣❤❜♦r❤♦♦❞ ❛♥❞ ✐s t❤❡ ♦♥❧② ♦♥❡ t♦ ❤❛✈❡ t❤✐s s❡t✳ ✶ ✹ ✸ ✷ ✺ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✷ ✴ ✶✾

  4. ✸ ✷ ✺ ❈♦❞❡s ■❞❡♥t✐❢②✐♥❣ ❝♦❞❡s ❉❡✜♥✐t✐♦♥ ❆♥ ✐❞❡♥t✐❢②✐♥❣ ❝♦❞❡ ♦❢ ❛ ❣r❛♣❤ ✐s ❛ s✉❜s❡t C ♦❢ t❤❡ ✈❡rt✐❝❡s s✉❝❤ t❤❛t✿ ❊✈❡r② ✈❡rt❡① ❤❛s ❛ ♥❡✐❣❤❜♦r ✐♥ C ✭❉♦♠✐♥❛t✐♦♥✮❀ ❊✈❡r② ✈❡rt❡① ❤❛s ❛ ✉♥✐q✉❡ ✐❞❡♥t✐✜❡r ✭■❞❡♥t✐✜❝❛t✐♦♥✮✳ ❊❛❝❤ ✈❡rt❡① ❤❛s ❛ s✉❜s❡t ♦❢ C ✐♥ ✐ts ♥❡✐❣❤❜♦r❤♦♦❞ ❛♥❞ ✐s t❤❡ ♦♥❧② ♦♥❡ t♦ ❤❛✈❡ t❤✐s s❡t✳ ✶ ✹ ✸ ✷ ✺ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✷ ✴ ✶✾

  5. ✸ ❳ ✷ ✺ ❳ ❳ ❉♦♠✐♥❛t✐♦♥✿ ❡❛❝❤ r♦♦♠ ✐s ❣✉❛r❞❡❞✳ ■❞❡♥t✐✜❝❛t✐♦♥✿ ✐♥ ❝❛s❡ ♦❢ ✜r❡✱ ✇❡ ❦♥♦✇ ❡①❛❝t❧② ✇❤❡r❡ t❤❡ ✜r❡ ✐s✳ ❈♦❞❡s ❆ ❝❧❛ss✐❝❛❧ ❛♣♣❧✐❝❛t✐♦♥ ♦❢ ❛♥ ✐❞❡♥t✐❢②✐♥❣ ❝♦❞❡ ✶ ✹ ✶ ✹ ✸ ✸ ✷ ✺ ✷ ✺ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✸ ✴ ✶✾

  6. ✸ ✷ ✺ ❉♦♠✐♥❛t✐♦♥✿ ❡❛❝❤ r♦♦♠ ✐s ❣✉❛r❞❡❞✳ ■❞❡♥t✐✜❝❛t✐♦♥✿ ✐♥ ❝❛s❡ ♦❢ ✜r❡✱ ✇❡ ❦♥♦✇ ❡①❛❝t❧② ✇❤❡r❡ t❤❡ ✜r❡ ✐s✳ ❈♦❞❡s ❆ ❝❧❛ss✐❝❛❧ ❛♣♣❧✐❝❛t✐♦♥ ♦❢ ❛♥ ✐❞❡♥t✐❢②✐♥❣ ❝♦❞❡ ✶ ✹ ✶ ✹ ✸ ✸ ❳ ✷ ✺ ✷ ✺ ❳ ❳ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✸ ✴ ✶✾

  7. ✸ ✷ ✺ ❈♦❞❡s ❆ ❝❧❛ss✐❝❛❧ ❛♣♣❧✐❝❛t✐♦♥ ♦❢ ❛♥ ✐❞❡♥t✐❢②✐♥❣ ❝♦❞❡ ✶ ✹ ✶ ✹ ✸ ✸ ❳ ✷ ✺ ✷ ✺ ❳ ❳ ❉♦♠✐♥❛t✐♦♥✿ ❡❛❝❤ r♦♦♠ ✐s ❣✉❛r❞❡❞✳ ■❞❡♥t✐✜❝❛t✐♦♥✿ ✐♥ ❝❛s❡ ♦❢ ✜r❡✱ ✇❡ ❦♥♦✇ ❡①❛❝t❧② ✇❤❡r❡ t❤❡ ✜r❡ ✐s✳ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✸ ✴ ✶✾

  8. ❘❡❞ ●r❡❡♥ ❇❧✉❡ ✶ ✹ ✶ ❳ ✷ ❳ ❳ ✸ ✸ ❳ ❳ ❳ ✹ ❳ ✷ ✺ ✺ ❳ ❳ ❈♦❧♦r❛t✐♦♥s ❱❛r✐❛♥t✿ ✐❞❡♥t✐❢②✐♥❣ ❝♦❧♦r✐♥❣ ❊❛❝❤ ✈❡rt❡① ❤❛s ❛ ❝♦❧♦r✳ ◆♦ ♥❡❡❞ t♦ ❤❛✈❡ ❞✐✛❡r❡♥t ❝♦❧♦rs ❢♦r ♥❡✐❣❤❜♦rs✳ ■❞❡♥t✐✜❝❛t✐♦♥ ♣r♦♣❡rt②✿ ❡❛❝❤ ✈❡rt❡① ❤❛s ❛ ✉♥✐q✉❡ s❡t ♦❢ ❝♦❧♦rs ✐♥ ✐ts ♥❡✐❣❤❜♦r❤♦♦❞✳ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✹ ✴ ✶✾

  9. ❈♦❧♦r❛t✐♦♥s ❱❛r✐❛♥t✿ ✐❞❡♥t✐❢②✐♥❣ ❝♦❧♦r✐♥❣ ❊❛❝❤ ✈❡rt❡① ❤❛s ❛ ❝♦❧♦r✳ ◆♦ ♥❡❡❞ t♦ ❤❛✈❡ ❞✐✛❡r❡♥t ❝♦❧♦rs ❢♦r ♥❡✐❣❤❜♦rs✳ ■❞❡♥t✐✜❝❛t✐♦♥ ♣r♦♣❡rt②✿ ❡❛❝❤ ✈❡rt❡① ❤❛s ❛ ✉♥✐q✉❡ s❡t ♦❢ ❝♦❧♦rs ✐♥ ✐ts ♥❡✐❣❤❜♦r❤♦♦❞✳ ❘❡❞ ●r❡❡♥ ❇❧✉❡ ✶ ✹ ✶ ❳ ✷ ❳ ❳ ✸ ✸ ❳ ❳ ❳ ✹ ❳ ✷ ✺ ✺ ❳ ❳ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✹ ✴ ✶✾

  10. ✶ ✶ ✷ ✶ ✷ ✷ ✵ ✵ ✸ ✵ ✸ ✵ ✵ ✵ ✸ ❈♦❧♦r❛t✐♦♥s ❆✐♠ ❋✐①❡❞ ♥✉♠❜❡r ♦❢ ❝♦❧♦rs L ✳ ▲♦♥❣❡st ❝②❝❧❡ ✇✐t❤ ❛ ❣❧♦❜❛❧❧② ✐❞❡♥t✐❢②✐♥❣ ❝♦❧♦r✐♥❣✳ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✺ ✴ ✶✾

  11. ❈♦❧♦r❛t✐♦♥s ❆✐♠ ❋✐①❡❞ ♥✉♠❜❡r ♦❢ ❝♦❧♦rs L ✳ ▲♦♥❣❡st ❝②❝❧❡ ✇✐t❤ ❛ ❣❧♦❜❛❧❧② ✐❞❡♥t✐❢②✐♥❣ ❝♦❧♦r✐♥❣✳ ✶ ✶ ✷ ✶ ✷ ✷ ✵ ✵ ✸ ✵ ✸ ✵ ✵ ✵ ✸ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✺ ✴ ✶✾

  12. ❆ ✉♥✐✈❡rs❛❧ ❝②❝❧❡ ✐s ❛ s♦❧✉t✐♦♥ t♦ t❤✐s ♣r♦❜❧❡♠✱ ❜✉t ✇✐t❤♦✉t r❡♣❡t✐t✐♦♥ ♦❢ ❝♦❧♦rs✳ ❆ ✈❛r✐❛♥t ❡①✐sts ✇✐t❤ r❡♣❡t✐t✐♦♥✱ ❜✉t ✐t ❝♦♥s✐❞❡rs ✵ ✵ ✶ ❛♥❞ ✵ ✶ ✶ ❛s t✇♦ ❞✐✛❡r❡♥t ✭♠✉❧t✐✮s❡ts✳ ✵ ✵ ✶ ✵ ✶ ✶ ❚❤❡ ♣r♦♦❢ ✐s ❝♦♥str✉❝t✐✈❡✳ ❈♦♥str✉❝t✐♦♥ ❏❛❝❦s♦♥✬s ✉♥✐✈❡rs❛❧ ❝②❝❧❡s ❏❛❝❦s♦♥ ♣r♦✈❡❞ t❤❛t ✭✉♥❞❡r ❝❡rt❛✐♥ ❝♦♥❞✐t✐♦♥s ♦♥ t❤❡ ♥✉♠❜❡r ♦❢ ❝♦❧♦rs✮ ❤❡ ❝❛♥ ❜✉✐❧❞ ❛ ❝②❝❧❡ s✉❝❤ t❤❛t ❡❛❝❤ s❡t ♦❢ ✸ ❞✐✛❡r❡♥t ❝♦❧♦rs ❛♣♣❡❛rs ✐♥ t❤❡ ♥❡✐❣❤❜♦r❤♦♦❞ ♦❢ ♦♥❧② ♦♥❡ ✈❡rt❡①✳ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✻ ✴ ✶✾

  13. ❆ ✈❛r✐❛♥t ❡①✐sts ✇✐t❤ r❡♣❡t✐t✐♦♥✱ ❜✉t ✐t ❝♦♥s✐❞❡rs ✵ ✵ ✶ ❛♥❞ ✵ ✶ ✶ ❛s t✇♦ ❞✐✛❡r❡♥t ✭♠✉❧t✐✮s❡ts✳ ✵ ✵ ✶ ✵ ✶ ✶ ❚❤❡ ♣r♦♦❢ ✐s ❝♦♥str✉❝t✐✈❡✳ ❈♦♥str✉❝t✐♦♥ ❏❛❝❦s♦♥✬s ✉♥✐✈❡rs❛❧ ❝②❝❧❡s ❏❛❝❦s♦♥ ♣r♦✈❡❞ t❤❛t ✭✉♥❞❡r ❝❡rt❛✐♥ ❝♦♥❞✐t✐♦♥s ♦♥ t❤❡ ♥✉♠❜❡r ♦❢ ❝♦❧♦rs✮ ❤❡ ❝❛♥ ❜✉✐❧❞ ❛ ❝②❝❧❡ s✉❝❤ t❤❛t ❡❛❝❤ s❡t ♦❢ ✸ ❞✐✛❡r❡♥t ❝♦❧♦rs ❛♣♣❡❛rs ✐♥ t❤❡ ♥❡✐❣❤❜♦r❤♦♦❞ ♦❢ ♦♥❧② ♦♥❡ ✈❡rt❡①✳ ❆ ✉♥✐✈❡rs❛❧ ❝②❝❧❡ ✐s ❛ s♦❧✉t✐♦♥ t♦ t❤✐s ♣r♦❜❧❡♠✱ ❜✉t ✇✐t❤♦✉t r❡♣❡t✐t✐♦♥ ♦❢ ❝♦❧♦rs✳ P✐❡rr❡ ❈♦✉♣❡❝❤♦✉① ■❞❡♥t✐✜❡❞ ❝②❝❧❡s ◆♦✈❡♠❜❡r ✷✶✱ ✷✵✶✻ ✻ ✴ ✶✾

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