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tr t trr t t Prt t t s

  1. ■♥tr♦ t♦ ❈♦♥t❡♠♣♦r❛r② ▼❛t❤ ◆❡✇ ▼❡t❤♦❞✿ P❧✉r❛❧✐t② ✇✐t❤ ❊❧✐♠✐♥❛t✐♦♥ ◆✐❝❤♦❧❛s ◆❣✉②❡♥ ♥✐❝❤♦❧❛s✳♥❣✉②❡♥❅✉❦②✳❡❞✉ ❉❡♣❛rt♠❡♥t ♦❢ ▼❛t❤❡♠❛t✐❝s ❯❑

  2. ❆❣❡♥❞❛ ◮ ❈♦♥t✐♥✉❡ ❇♦r❞❛ ❈♦✉♥t ◮ ◆❡✇ ❱♦t✐♥❣ ▼❡t❤♦❞✿ P❧✉r❛❧✐t② ✇✐t❤ ❊❧✐♠✐♥❛t✐♦♥ ✭P✇❊✮ ◮ P❧✉r❛❧✐t② ▼❡t❤♦❞ ❱❡rs✉s ❇♦r❞❛ ❈♦✉♥t ❱❡rs✉s P✇❊

  3. ❆♥♥♦✉♥❝❡♠❡♥ts ◮ P❧❡❛s❡ ❝r❡❛t❡ ②♦✉r ❘❊❊❋ ❛❝❝♦✉♥t ❜❡❢♦r❡ ❋r✐❞❛②✳ ◮ P❛rt ✷ ♦❢ ❍♦♠❡✇♦r❦ ✶ ✐s ✉♣✳ ◮ ❨♦✉ ✇✐❧❧ ❤❛✈❡ ❛ ✷✵✲✷✺ ♠✐♥✉t❡ ♠✐♥✐✲❡①❛♠ ✭q✉✐③✮ ♥❡①t ❲❡❞♥❡s❞❛② ✐♥ ❝❧❛ss✳ ■t ✇✐❧❧ ❝♦✈❡r ✉♣ t♦ t❤✐s ✇❡❡❦✬s ♠❛t❡r✐❛❧✳

  4. ❇♦r❞❛ ❈♦✉♥t P❛rt ❇ ✷ ✸ ✹ ✸ ♣♦✐♥ts ♣❡r ✈♦t❡ ❆ ❇ ❈ ✷ ♣♦✐♥ts ♣❡r ✈♦t❡ ❇ ❈ ❇ ✶ ♣♦✐♥t ♣❡r ✈♦t❡ ❈ ❆ ❆ ◮ ❇❧✉❡ ❣❡ts ✸ ♣♦✐♥ts ♣❡r ✶st ♣❧❛❝❡ ✈♦t❡✱ ✷ ♣♦✐♥ts ♣❡r ✷♥❞ ♣❧❛❝❡ ✈♦t❡✱ ❛♥❞ ✶ ♣♦✐♥t ♣❡r ✸r❞✴❧❛st ♣❧❛❝❡ ✈♦t❡✳ ◮ ❚❤✉s✱ ❇❧✉❡ ❣❡ts✿ ✷ ( ✷ )+ ✸ ( ✸ )+ ✹ ( ✷ ) = ✷✶ points

  5. ❇♦r❞❛ ❈♦✉♥t P❛rt ❇ ✷ ✸ ✹ ✸ ♣♦✐♥ts ♣❡r ✈♦t❡ ❆ ❇ ❈ ✷ ♣♦✐♥ts ♣❡r ✈♦t❡ ❇ ❈ ❇ ✶ ♣♦✐♥t ♣❡r ✈♦t❡ ❈ ❆ ❆ ◮ ❇❧✉❡ ❣❡ts ✸ ♣♦✐♥ts ♣❡r ✶st ♣❧❛❝❡ ✈♦t❡✱ ✷ ♣♦✐♥ts ♣❡r ✷♥❞ ♣❧❛❝❡ ✈♦t❡✱ ❛♥❞ ✶ ♣♦✐♥t ♣❡r ✸r❞✴❧❛st ♣❧❛❝❡ ✈♦t❡✳ ◮ ❚❤✉s✱ ❇❧✉❡ ❣❡ts✿ ✷ ( ✷ )+ ✸ ( ✸ )+ ✹ ( ✷ ) = ✷✶ points

  6. ❇♦r❞❛ ❈♦✉♥t P❛rt ❇ ✷ ✸ ✹ ✸ ♣♦✐♥ts ♣❡r ✈♦t❡ ❆ ❇ ❈ ✷ ♣♦✐♥ts ♣❡r ✈♦t❡ ❇ ❈ ❇ ✶ ♣♦✐♥t ♣❡r ✈♦t❡ ❈ ❆ ❆ ◮ ❇❧✉❡ ❣❡ts ✸ ♣♦✐♥ts ♣❡r ✶st ♣❧❛❝❡ ✈♦t❡✱ ✷ ♣♦✐♥ts ♣❡r ✷♥❞ ♣❧❛❝❡ ✈♦t❡✱ ❛♥❞ ✶ ♣♦✐♥t ♣❡r ✸r❞✴❧❛st ♣❧❛❝❡ ✈♦t❡✳ ◮ ❚❤✉s✱ ❇❧✉❡ ❣❡ts✿ ✷ ( ✷ )+ ✸ ( ✸ )+ ✹ ( ✷ ) = ✷✶ points

  7. ❇♦r❞❛ ❈♦✉♥t P❛rt ❇ ✷ ✸ ✹ ✸ ♣♦✐♥ts ♣❡r ✈♦t❡ ❆ ❇ ❈ ✷ ♣♦✐♥ts ♣❡r ✈♦t❡ ❇ ❈ ❇ ✶ ♣♦✐♥t ♣❡r ✈♦t❡ ❈ ❆ ❆ ◮ ❇❧✉❡ ❣❡ts ✸ ♣♦✐♥ts ♣❡r ✶st ♣❧❛❝❡ ✈♦t❡✱ ✷ ♣♦✐♥ts ♣❡r ✷♥❞ ♣❧❛❝❡ ✈♦t❡✱ ❛♥❞ ✶ ♣♦✐♥t ♣❡r ✸r❞✴❧❛st ♣❧❛❝❡ ✈♦t❡✳ ◮ ❚❤✉s✱ ❇❧✉❡ ❣❡ts✿ ✷ ( ✷ )+ ✸ ( ✸ )+ ✹ ( ✷ ) = ✹ + ✾ + ✽ = ✷✶ ♣♦✐♥ts

  8. ❄✭✸✳✶✮ ❇♦r❞❛ ❈♦✉♥t P❛rt ❈ ✷ ✸ ✹ ❆ ❇ ❈ ✸ ♣♦✐♥ts ♣❡r ✈♦t❡ ✷ ♣♦✐♥ts ♣❡r ✈♦t❡ ❇ ❈ ❇ ✶ ♣♦✐♥t ♣❡r ✈♦t❡ ❈ ❆ ❆ ❍♦✇ ♠❛♥② ♣♦✐♥ts ❞♦❡s ❈♦❜❛❧t ❣❡t❄

  9. ❇♦r❞❛ ❈♦✉♥t P❛rt ❈ ✷ ✸ ✹ ❆ ❇ ❈ ✸ ♣♦✐♥ts ♣❡r ✈♦t❡ ✷ ♣♦✐♥ts ♣❡r ✈♦t❡ ❇ ❈ ❇ ✶ ♣♦✐♥t ♣❡r ✈♦t❡ ❈ ❆ ❆ ◮ ❈♦❜❛❧t ❣❡ts✿ ✷ ( ✶ )+ ✸ ( ✷ )+ ✹ ( ✸ ) = ✷ + ✻ + ✶✷ = ✷✵ ♣♦✐♥ts

  10. ❇♦r❞❛ ❈♦✉♥t ❈♦♠♠♦♥ ❊rr♦r ✷ ✸ ✹ ✸ ♣♦✐♥ts ♣❡r ✈♦t❡ ❆ ❇ ❈ ❇ ❈ ❇ ✷ ♣♦✐♥ts ♣❡r ✈♦t❡ ✶ ♣♦✐♥t ♣❡r ✈♦t❡ ❈ ❆ ❆ ◮ ■❢ ②♦✉ ❣♦t ✻ ♣♦✐♥ts ❢♦r ❈♦❜❛❧t ✭✶ ❢♦r ✸r❞ ♣❧❛❝❡ ✐♥ ❈♦❧✉♠♥ ✶✱ ♣❧✉s ✷ ❢♦r ✷♥❞ ♣❧❛❝❡ ✐♥ ❈♦❧✉♠♥ ✷✱ ♣❧✉s ✸ ❢♦r ✶st ♣❧❛❝❡ ✐♥ ❈♦❧✉♠♥ ✸✮✱ ②♦✉ ♠✉st r❡♠❡♠❜❡r t❤❛t ❡❛❝❤ ❝♦❧✉♠♥ ❝❛♥ r❡♣r❡s❡♥t ♠♦r❡ t❤❛♥ ♦♥❡ ✈♦t❡r ✭❧♦♦❦ ❛t t❤❡ ♥✉♠❜❡r ❛t t❤❡ t♦♣ ♦❢ t❤❡ ❝♦❧✉♠♥✮✳

  11. ❉✐✛❡r❡♥t ❘❡s✉❧ts❄ ✷ ✸ ✹ ❆ ❇ ❈ ❇ ❈ ❇ ❈ ❆ ❆ ❆③✉r❡✿ ✷ ( ✸ )+ ✸ ( ✶ )+ ✹ ( ✶ ) = ✶✸ ♣♦✐♥ts ❇❧✉❡✿ ✷ ( ✷ )+ ✸ ( ✸ )+ ✹ ( ✷ ) ✷✶ ♣♦✐♥ts = ❈♦❜❛❧t✿ ✷ ( ✶ )+ ✸ ( ✷ )+ ✹ ( ✸ ) = ✷✵ ♣♦✐♥ts ❲❤❛t ❤❡❧♣❡❞ ❇❧✉❡ ✇✐♥ ✉s✐♥❣ t❤❡ ❇♦r❞❛ ❝♦✉♥t ♠❡t❤♦❞❄

  12. ❉✐✛❡r❡♥t ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥ ❈♦♠♠❡♥ts ❋r♦♠ ❈❧❛ss ❙✉♠♠❛r②✿ ◮ ❙❡❝♦♥❞ ♣❧❛❝❡ ✈♦t❡s ❛r❡ ♠✉❝❤ ♠♦r❡ ✈❛❧✉❛❜❧❡ ✐♥ ❇♦r❞❛ ❝♦✉♥t t❤❛♥ ✐♥ P❧✉r❛❧✐t②✳ ◮ ▲❛st ♣❧❛❝❡ ✐s ❞❡✈❛st❛t✐♥❣ ✭♦♥❧② ♦♥❡ ♣♦✐♥t ❛t ❛ t✐♠❡✮✳ ❈❛♥❞✐❞❛t❡s t❤❛t ✇❛♥t t♦ ✇✐♥ ✇✐t❤ ❇♦r❞❛ ❝♦✉♥t s❤♦✉❧❞ ❛✈♦✐❞ ❧❛st ♣❧❛❝❡ ✈♦t❡s✳ ◮ ❚❤❡ ♠❡t❤♦❞ r❡✇❛r❞s ❛ ❝❛♥❞✐❞❛t❡ ❜❡✐♥❣ ❛❜♦✈❡ ❛♥ ♦♣♣♦♥❡♥t ❜② ❣✐✈✐♥❣ ♠♦r❡ ♣♦✐♥ts✱ ❡✈❡♥ ✐❢ ♥❡✐t❤❡r ♦❢ t❤❡♠ ❛r❡ ✐♥ ✜rst✳

  13. ❉✐✛❡r❡♥t ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥ ❈♦♠♠❡♥ts ❋r♦♠ ❈❧❛ss ❇❧✉❡✬s ❱✐❝t♦r② ✷ ✸ ✹ ❆③✉r❡ ❇❧✉❡ ❈♦❜❛❧t ❇❧✉❡ ❈♦❜❛❧t ❇❧✉❡ ❈♦❜❛❧t ❆③✉r❡ ❆③✉r❡ ◮ ❇❧✉❡ ✇♦♥ ❜❡❝❛✉s❡ ♦❢ ✐ts s❡❝♦♥❞ ♣❧❛❝❡ ✈♦t❡s✳ ■♥ ❢❛❝t✱ ♦❢ t❤❡ ✷✶ ♣♦✐♥ts ✐t ❣♦t✱ ✶✷ ♦❢ t❤❡♠ ❝♦♠❡ ❢r♦♠ s❡❝♦♥❞ ♣❧❛❝❡ ✈♦t❡s ✭❢r♦♠ ❈♦❧✉♠♥s ✶ ❛♥❞ ✸✮✱ s♦ ♦✈❡r ❤❛❧❢ ♦❢ ✐ts ♣♦✐♥t t♦t❛❧ ❝♦♠❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ♣❧❛❝❡ ✈♦t❡s✱ ❛♥❞ ❧❡ss t❤❛♥ ❤❛❧❢ ❢r♦♠ ✜rst ♣❧❛❝❡✳ ◮ ❆❧s♦✱ ♥♦ ♦♥❡ r❛♥❦❡❞ ❇❧✉❡ ✐♥ ❧❛st ♣❧❛❝❡ ✭♥♦t✐❝❡ ❇❧✉❡ ❞♦❡s ♥♦t ❛♣♣❡❛r ✐♥ t❤❡ ❧❛st r♦✇ ♦❢ t❤❡ s❝❤❡❞✉❧❡✮✳

  14. ❉✐✛❡r❡♥t ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥ ❈♦♠♠❡♥ts ❋r♦♠ ❈❧❛ss ❆③✉r❡✬s ▲♦ss ✷ ✸ ✹ ❆③✉r❡ ❇❧✉❡ ❈♦❜❛❧t ❇❧✉❡ ❈♦❜❛❧t ❇❧✉❡ ❈♦❜❛❧t ❆③✉r❡ ❆③✉r❡ ◮ ❆③✉r❡ ❣♦t ✶✸ ♣♦✐♥ts ❛♥❞ ❝❛♠❡ ✐♥ ❧❛st✳ ■t ❣♦t ✼ ♣♦✐♥ts ❢r♦♠ ❧❛st ♣❧❛❝❡ ✈♦t❡s ✭✐♥ ❈♦❧✉♠♥s ✷ ❛♥❞ ✸✮✳ ◮ ▲✐❦❡ ✇✐t❤ ❇❧✉❡✱ ♦✈❡r ❤❛❧❢ ♦❢ ❆③✉r❡✬s ♣♦✐♥ts ❝❛♠❡ ❢r♦♠ ❧❛st ♣❧❛❝❡ ✈♦t❡s✳

  15. ❉✐✛❡r❡♥t ❘❡s✉❧ts ❉✐s❝✉ss✐♦♥ ❈♦♠♠❡♥ts ❋r♦♠ ❈❧❛ss ❈♦❜❛❧t✬s ▲♦ss t♦ ❇❧✉❡ ✷ ✸ ✹ ❆③✉r❡ ❇❧✉❡ ❈♦❜❛❧t ✸ ♣♦✐♥ts ♣❡r ✈♦t❡ ✷ ♣♦✐♥ts ♣❡r ✈♦t❡ ❇❧✉❡ ❈♦❜❛❧t ❇❧✉❡ ✶ ♣♦✐♥t ♣❡r ✈♦t❡ ❈♦❜❛❧t ❆③✉r❡ ❆③✉r❡ ❉❡s♣✐t❡ ❈♦❜❛❧t ❣❡tt✐♥❣ t❤❡ ♠♦st ✶st ♣❧❛❝❡ ✈♦t❡s✱ ✐t ❧♦st t♦ ❇❧✉❡✳ ▲❡t ✉s ❝♦♠♣✉t❡ t❤❡ ♣♦✐♥t t♦t❛❧s ❢r♦♠ r✐❣❤t t♦ ❧❡❢t✿ ❇❧✉❡✿ ✹ ( ✷ )+ ✸ ( ✸ )+ ✷ ( ✷ ) ❚♦t❛❧ s♦ ❢❛r✿ ✽ ❈♦❜❛❧t ✭✜rst ♣❧❛❝❡ ✈♦t❡s ❣✐✈❡ ✐t ❛ ❧❡❛❞✮✿ ✹ ( ✸ )+ ✸ ( ✷ )+ ✷ ( ✶ ) ❚♦t❛❧ s♦ ❢❛r✿ ✶✷

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