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t t tt r rsrs rs tt rstt r r rr

  1. ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆♥❞r❡❛s ▼❛❧❡tt✐ ❯♥✐✈❡rs✐t❛t ❘♦✈✐r❛ ✐ ❱✐r❣✐❧✐ ❚❛rr❛❣♦♥❛✱ ❙♣❛✐♥ ❛♥❞r❡❛s✳♠❛❧❡tt✐❅✉r✈✳❝❛t ❉❛❣st✉❤❧ ✖ ❏❛♥✉❛r② ✷✶✱ ✷✵✶✵ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✶ ✁

  2. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ❲❡✐❣❤t✿ ✶ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  3. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ❈❖◆❏ ❙ ✇❛ ❲❡✐❣❤t✿ ✶ ✁ ✵ ✿ ✺ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  4. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ❈❖◆❏ ❙ ◆P ✶ ❱P ✇❛ ◆P ✶ ◆P ✷ ❱ ◆P ✷ ❱ ❲❡✐❣❤t✿ ✶ ✁ ✵ ✿ ✺ ✁ ✵ ✿ ✷✺ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  5. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ❈❖◆❏ ❙ ◆P ✶ ❱P ✇❛ ◆P ✶ ◆P ✷ ❱ ◆P ✷ ❱ r❛✬❛❛ s❛✇ ❲❡✐❣❤t✿ ✶ ✁ ✵ ✿ ✺ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✵✸ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  6. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ◆P ❱P ❈❖◆❏ ❙ ✇❛ ❉❚ ◆ ❱ ◆P ❱ ◆P ◆P s❛✇ t❤❡ ◆ r❛✬❛❛ ❲❡✐❣❤t✿ ✶ ✁ ✵ ✿ ✺ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✵✸ ✁ ✵ ✿ ✷✺ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  7. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ◆P ❱P ❈❖◆❏ ❙ ✇❛ ❉❚ ◆ ❱ ◆P ❱ ◆P ◆P ❜♦② s❛✇ r❛✬❛❛ ◆ t❤❡ ❛t❡✢ ❲❡✐❣❤t✿ ✶ ✁ ✵ ✿ ✺ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✵✸ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✶ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  8. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ◆P ❱P ❈❖◆❏ ❙ ✇❛ ❉❚ ◆ ❱ ◆P ❱ ◆P ◆P s❛✇ ❜♦② t❤❡ ❉❚ ◆ r❛✬❛❛ ◆ ◆ t❤❡ ❛t❡✢ ❲❡✐❣❤t✿ ✶ ✁ ✵ ✿ ✺ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✵✸ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✶ ✁ ✵ ✿ ✷✺ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  9. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ◆P ❱P ❈❖◆❏ ❙ ✇❛ ❉❚ ◆ ❱ ◆P ❱ ◆P ◆P s❛✇ ◆ ◆ ❜♦② r❛✬❛❛ t❤❡ ❉❚ ◆ ❛t❡✢ ❛❧❜❛❜ t❤❡ ❞♦♦r ❲❡✐❣❤t✿ ✶ ✁ ✵ ✿ ✺ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✵✸ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✶ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✵✺ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  10. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ❙ ❙ ◆P ❱P ❈❖◆❏ ❙ ✇❛ ❉❚ ◆ ❱ ◆P ❱ ◆P ◆P s❛✇ ◆ ◆ ❜♦② r❛✬❛❛ t❤❡ ❉❚ ◆ ❛t❡✢ ❛❧❜❛❜ t❤❡ ❞♦♦r ❲❡✐❣❤t✿ ✶ ✁ ✵ ✿ ✺ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✵✸ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✶ ✁ ✵ ✿ ✷✺ ✁ ✵ ✿ ✵✺ ◆♦t❡ P♦♣✉❧❛r ♠♦❞❡❧ ✐♥ ♠❛❝❤✐♥❡ tr❛♥s❧❛t✐♦♥✳ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✷ ✁

  11. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ✭❝♦♥t✬❞✮ ❆❞✈❛♥t❛❣❡s s✐♠♣❧❡ ❛♥❞ ♥❛t✉r❛❧ ♠♦❞❡❧ ❡❛s② t♦ tr❛✐♥ ✭❢r♦♠ ❧✐♥❣✉✐st✐❝ r❡s♦✉r❝❡s✮ s②♠♠❡tr✐❝ ✭❖❜✈✐♦✉s✮ ❉✐s❛❞✈❛♥t❛❣❡s ❝♦♠♣✉t❡s ❥♦✐♥t✲♣r♦❜❛❜✐❧✐t② ✭ ✦ ❣❡♥❡r❛t✐✈❡ st♦r② ✮ ♥♦ st❛t❡ ❜❡❤❛✈✐♦r ✭ ✦ ❧♦❝❛❧ ❜❡❤❛✈✐♦r ✮ ■♠♣❧❡♠❡♥t❛t✐♦♥ ❡①t❡♥❞❡❞ t♦♣✲❞♦✇♥ tr❡❡ tr❛♥s❞✉❝❡r ✐♥ ❚✐❜✉r♦♥ ❬▼❛②✱ ❑♥✐❣❤t ✬✵✻❪ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✸ ✁

  12. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ✭❝♦♥t✬❞✮ ❆❞✈❛♥t❛❣❡s s✐♠♣❧❡ ❛♥❞ ♥❛t✉r❛❧ ♠♦❞❡❧ ❡❛s② t♦ tr❛✐♥ ✭❢r♦♠ ❧✐♥❣✉✐st✐❝ r❡s♦✉r❝❡s✮ s②♠♠❡tr✐❝ ✭❖❜✈✐♦✉s✮ ❉✐s❛❞✈❛♥t❛❣❡s ❝♦♠♣✉t❡s ❥♦✐♥t✲♣r♦❜❛❜✐❧✐t② ✭ ✦ ❣❡♥❡r❛t✐✈❡ st♦r② ✮ ♥♦ st❛t❡ ❜❡❤❛✈✐♦r ✭ ✦ ❧♦❝❛❧ ❜❡❤❛✈✐♦r ✮ ■♠♣❧❡♠❡♥t❛t✐♦♥ ❡①t❡♥❞❡❞ t♦♣✲❞♦✇♥ tr❡❡ tr❛♥s❞✉❝❡r ✐♥ ❚✐❜✉r♦♥ ❬▼❛②✱ ❑♥✐❣❤t ✬✵✻❪ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✸ ✁

  13. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ✭❝♦♥t✬❞✮ ❆❞✈❛♥t❛❣❡s s✐♠♣❧❡ ❛♥❞ ♥❛t✉r❛❧ ♠♦❞❡❧ ❡❛s② t♦ tr❛✐♥ ✭❢r♦♠ ❧✐♥❣✉✐st✐❝ r❡s♦✉r❝❡s✮ s②♠♠❡tr✐❝ ✭❖❜✈✐♦✉s✮ ❉✐s❛❞✈❛♥t❛❣❡s ❝♦♠♣✉t❡s ❥♦✐♥t✲♣r♦❜❛❜✐❧✐t② ✭ ✦ ❣❡♥❡r❛t✐✈❡ st♦r② ✮ ♥♦ st❛t❡ ❜❡❤❛✈✐♦r ✭ ✦ ❧♦❝❛❧ ❜❡❤❛✈✐♦r ✮ ■♠♣❧❡♠❡♥t❛t✐♦♥ ❡①t❡♥❞❡❞ t♦♣✲❞♦✇♥ tr❡❡ tr❛♥s❞✉❝❡r ✐♥ ❚✐❜✉r♦♥ ❬▼❛②✱ ❑♥✐❣❤t ✬✵✻❪ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✸ ✁

  14. ▼♦t✐✈❛t✐♦♥ ❙②♥❝❤r♦♥♦✉s ❚r❡❡ ❙✉❜st✐t✉t✐♦♥ ●r❛♠♠❛rs ✭❝♦♥t✬❞✮ ❙②♥❝❤r♦♥♦✉s tr❡❡ s✉❜st✐t✉t✐♦♥ ❣r❛♠♠❛r r✉❧❡✿ ❙ ❙ ◆P ✶ ❱P ✇ ✖ ◆P ✶ ◆P ✷ ❱ ◆P ✷ ❱ ❈♦rr❡s♣♦♥❞✐♥❣ ❡①t❡♥❞❡❞ t♦♣✲❞♦✇♥ tr❡❡ tr❛♥s❞✉❝❡r r✉❧❡✿ q ❙ ❙ ❙ ✇ q ❱ q ◆P q ◆P � ✦ ① ✶ ❱P ① ✷ ① ✶ ① ✸ ① ✷ ① ✸ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✹ ✁

  15. ▼♦t✐✈❛t✐♦♥ ❊①t❡♥❞❡❞ ❚♦♣✲❞♦✇♥ ❚r❡❡ ❚r❛♥s❞✉❝❡r ❆❞✈❛♥t❛❣❡s ✐♥♣✉t✲❞r✐✈❡♥ ♠♦❞❡❧ ✭❝❛♥ ❡❛s✐❧② ❝♦♠♣✉t❡ ❝♦♥❞✐t✐♦♥❛❧ ♣r♦❜❛❜✐❧✐t②✮ st❛t❡ ❜❡❤❛✈✐♦r ❉✐s❛❞✈❛♥t❛❣❡s ✭❛❧s♦ ♦❢ ❙❚❙●✮ ♥♦t ❜✐♥❛r✐③❛❜❧❡ ❬❆❤♦✱ ❯❧❧♠❛♥ ✬✼✷❀ ❩❤❛♥❣✱ ❍✉❛♥❣✱ ●✐❧❞❡❛✱ ❑♥✐❣❤t ✬✵✻❪ ✐♥❡✣❝✐❡♥t ✐♥♣✉t✴♦✉t♣✉t r❡str✐❝t✐♦♥ ✭❇❛r✲❍✐❧❧❡❧ ❝♦♥str✉❝t✐♦♥✮ ❬▼✳✱ ❙❛tt❛ ✬✶✵❪ ♥♦t ❝♦♠♣♦s❛❜❧❡ ❬❆r♥♦❧❞✱ ❉❛✉❝❤❡t ✬✽✷❪ ❲❡✐❣❤t❡❞ ▼✉❧t✐ ❇♦tt♦♠✲✉♣ ❚r❡❡ ❚r❛♥s❞✉❝❡rs ❆✳ ▼❛❧❡tt✐ ✺ ✁

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