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sst s t rs t trs r t rs Prs t rs Prrrs

  1. ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❙❡❣♠❡♥t ❚r❡❡s ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❆❈❆✱ ■■❚ ❑❛♥♣✉r ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  2. ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❖✉t❧✐♥❡ ❊ss❡♥t✐❛❧ ❚♦♦❧s ✶ ❙❡❣♠❡♥t ❚r❡❡s ✷ ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s ✸ Pr♦❜❧❡♠s ✹ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  3. ✶ ❯s❡❞ t♦ r❡♣r❡s❡♥t ❛❧♠♦st ❝♦♠♣❧❡t❡ ❜✐♥❛r② tr❡❡s ✷ ♥ ❡❧❡♠❡♥ts st♦r❡❞ ✐♥ ❧♦❣ ♥ ❧❡✈❡❧s ✸ ❙t♦r❡❞ ✐♥ ❛rr❛② ✹ ■♥❞❡①❡❞ r♦♦t t♦ ❧❡❛✈❡s✱ ✭✶✱✳✳✳✱♥✮ ♦r ✭✵✱✳✳✳✱♥✲✶✮✳ ✺ ❈❤♦♦s✐♥❣ ✭✶✱✳✳✳✱♥✮ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❘❡♣r❡s❡♥t❛t✐♦♥ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  4. ✷ ♥ ❡❧❡♠❡♥ts st♦r❡❞ ✐♥ ❧♦❣ ♥ ❧❡✈❡❧s ✸ ❙t♦r❡❞ ✐♥ ❛rr❛② ✹ ■♥❞❡①❡❞ r♦♦t t♦ ❧❡❛✈❡s✱ ✭✶✱✳✳✳✱♥✮ ♦r ✭✵✱✳✳✳✱♥✲✶✮✳ ✺ ❈❤♦♦s✐♥❣ ✭✶✱✳✳✳✱♥✮ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❘❡♣r❡s❡♥t❛t✐♦♥ ✶ ❯s❡❞ t♦ r❡♣r❡s❡♥t ❛❧♠♦st ❝♦♠♣❧❡t❡ ❜✐♥❛r② tr❡❡s ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  5. ✸ ❙t♦r❡❞ ✐♥ ❛rr❛② ✹ ■♥❞❡①❡❞ r♦♦t t♦ ❧❡❛✈❡s✱ ✭✶✱✳✳✳✱♥✮ ♦r ✭✵✱✳✳✳✱♥✲✶✮✳ ✺ ❈❤♦♦s✐♥❣ ✭✶✱✳✳✳✱♥✮ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❘❡♣r❡s❡♥t❛t✐♦♥ ✶ ❯s❡❞ t♦ r❡♣r❡s❡♥t ❛❧♠♦st ❝♦♠♣❧❡t❡ ❜✐♥❛r② tr❡❡s ✷ ♥ ❡❧❡♠❡♥ts st♦r❡❞ ✐♥ ❧♦❣ ♥ ❧❡✈❡❧s ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  6. ✹ ■♥❞❡①❡❞ r♦♦t t♦ ❧❡❛✈❡s✱ ✭✶✱✳✳✳✱♥✮ ♦r ✭✵✱✳✳✳✱♥✲✶✮✳ ✺ ❈❤♦♦s✐♥❣ ✭✶✱✳✳✳✱♥✮ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❘❡♣r❡s❡♥t❛t✐♦♥ ✶ ❯s❡❞ t♦ r❡♣r❡s❡♥t ❛❧♠♦st ❝♦♠♣❧❡t❡ ❜✐♥❛r② tr❡❡s ✷ ♥ ❡❧❡♠❡♥ts st♦r❡❞ ✐♥ ❧♦❣ ♥ ❧❡✈❡❧s ✸ ❙t♦r❡❞ ✐♥ ❛rr❛② ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  7. ✺ ❈❤♦♦s✐♥❣ ✭✶✱✳✳✳✱♥✮ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❘❡♣r❡s❡♥t❛t✐♦♥ ✶ ❯s❡❞ t♦ r❡♣r❡s❡♥t ❛❧♠♦st ❝♦♠♣❧❡t❡ ❜✐♥❛r② tr❡❡s ✷ ♥ ❡❧❡♠❡♥ts st♦r❡❞ ✐♥ ❧♦❣ ♥ ❧❡✈❡❧s ✸ ❙t♦r❡❞ ✐♥ ❛rr❛② ✹ ■♥❞❡①❡❞ r♦♦t t♦ ❧❡❛✈❡s✱ ✭✶✱✳✳✳✱♥✮ ♦r ✭✵✱✳✳✳✱♥✲✶✮✳ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  8. ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❘❡♣r❡s❡♥t❛t✐♦♥ ✶ ❯s❡❞ t♦ r❡♣r❡s❡♥t ❛❧♠♦st ❝♦♠♣❧❡t❡ ❜✐♥❛r② tr❡❡s ✷ ♥ ❡❧❡♠❡♥ts st♦r❡❞ ✐♥ ❧♦❣ ♥ ❧❡✈❡❧s ✸ ❙t♦r❡❞ ✐♥ ❛rr❛② ✹ ■♥❞❡①❡❞ r♦♦t t♦ ❧❡❛✈❡s✱ ✭✶✱✳✳✳✱♥✮ ♦r ✭✵✱✳✳✳✱♥✲✶✮✳ ✺ ❈❤♦♦s✐♥❣ ✭✶✱✳✳✳✱♥✮ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  9. ✶ ▲❡✈❡❧ ✐ st❛rts ❛t ✐♥❞❡① ✷ ✐ ✳ ✷ P❛r❡♥t ♦❢ ✈❡rt❡① ❛t ✐ ✐s ✐ ✷ ✸ ❈❤✐❧❞r❡♥ ♦❢ ✈❡rt❡① ❛t ✐ ✐s ✷ ✐ ❛♥❞ ✷ ✐ ✶ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ Pr♦♣❡rt✐❡s ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  10. ✷ P❛r❡♥t ♦❢ ✈❡rt❡① ❛t ✐ ✐s ✐ ✷ ✸ ❈❤✐❧❞r❡♥ ♦❢ ✈❡rt❡① ❛t ✐ ✐s ✷ ✐ ❛♥❞ ✷ ✐ ✶ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ Pr♦♣❡rt✐❡s ✶ ▲❡✈❡❧ ✐ st❛rts ❛t ✐♥❞❡① ✷ ✐ ✳ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  11. ✸ ❈❤✐❧❞r❡♥ ♦❢ ✈❡rt❡① ❛t ✐ ✐s ✷ ✐ ❛♥❞ ✷ ✐ ✶ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ Pr♦♣❡rt✐❡s ✶ ▲❡✈❡❧ ✐ st❛rts ❛t ✐♥❞❡① ✷ ✐ ✳ ✷ P❛r❡♥t ♦❢ ✈❡rt❡① ❛t ✐ ✐s ⌊ ✐ ✷ ⌋ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  12. ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ Pr♦♣❡rt✐❡s ✶ ▲❡✈❡❧ ✐ st❛rts ❛t ✐♥❞❡① ✷ ✐ ✳ ✷ P❛r❡♥t ♦❢ ✈❡rt❡① ❛t ✐ ✐s ⌊ ✐ ✷ ⌋ ✸ ❈❤✐❧❞r❡♥ ♦❢ ✈❡rt❡① ❛t ✐ ✐s ✷ ∗ ✐ ❛♥❞ ✷ ∗ ✐ + ✶ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  13. ✶ ❇✐♥❛r② ❍❡❛♣ ✷ ❙❡❣♠❡♥t tr❡❡s ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❆♣♣❧✐❝❛t✐♦♥s ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  14. ✷ ❙❡❣♠❡♥t tr❡❡s ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❆♣♣❧✐❝❛t✐♦♥s ✶ ❇✐♥❛r② ❍❡❛♣ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  15. ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❇✐♥❛r② ■♥❞❡①❡❞ ❚r❡❡ ❆♣♣❧✐❝❛t✐♦♥s ✶ ❇✐♥❛r② ❍❡❛♣ ✷ ❙❡❣♠❡♥t tr❡❡s ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  16. ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ❖✉t❧✐♥❡ ❊ss❡♥t✐❛❧ ❚♦♦❧s ✶ ❙❡❣♠❡♥t ❚r❡❡s ✷ ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s ✸ Pr♦❜❧❡♠s ✹ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

  17. ✶ ❋✐♥❞ t❤❡ s✉♠ ♦❢ ❡❧❡♠❡♥ts ❧ t♦ r ✷ ❈❤❛♥❣❡ ✐♥ t❤❡ ✈❛❧✉❡ ♦❢ ❛ s♣❡❝✐✜❡❞ ❡❧❡♠❡♥t ♦❢ t❤❡ ❛rr❛② ❛❬✐❪❂① ❲❡ s❤♦✉❧❞ ❜❡ ❛❜❧❡ t♦ ❊ss❡♥t✐❛❧ ❚♦♦❧s ❙❡❣♠❡♥t ❚r❡❡s ❙❡❣♠❡♥t tr❡❡s ❢♦r ❘♦♦t❡❞ ❚r❡❡s Pr♦❜❧❡♠s ▼♦t✐✈❛t✐♦♥ Pr♦❜❧❡♠ ❙t❛t❡♠❡♥t ❲❡ ❤❛✈❡ ❛♥ ❛rr❛② ❛❬✵ ✳ ✳ ✳ ♥✲✶❪✳ ▲❡❛❣✉❡ ♦❢ Pr♦❣r❛♠♠❡rs ❙❡❣♠❡♥t ❚r❡❡s

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