• Nenhum resultado encontrado

O conceito de grupo: sua formação por alunos de matemática

N/A
N/A
Protected

Academic year: 2018

Share "O conceito de grupo: sua formação por alunos de matemática"

Copied!
343
0
0

Texto

(1)

✓✢✎✂✙✛✂✖✣✌✏✎✑✌✒✝✔✌✒✝✤✝✠✌✒✂✙✥✎✂✦✥✧✂✘

★✠✟✏✘✞✩✞✟✏✎✞✪✫✎✬✌✒✝✤★✠✭✞✡✢✮✯✩✞✟✏✎✑✌✒✛✎✂✦✥✧✂✘✰✝✱✪✲✝✠✌✒✂✙✥✎✂✦✥✧✂✘✰✳✏✟✏✎✑✡☞✄✍✖✣✝✠✄✍✟✏✎

✴ ✵✶✴✶✷✸✵✬✹✻✺✽✼✾✴ ✿❀✹ ❁❃❂✾❄❀❅✾✴✲❆

❇❈❄❊❉ ❋✤✴✶❂❍● ❉❏■✰❑❏✴ ❅✾✴✶❂ ❉❏▲▼❄❀✷✸✴❏❇ ✿❀✹

● ❉◆✼❖✹P● ◗◆✼❖✺❘✵✰❉

❙❯❚❲❱❘❳❩❨❭❬❫❪◆❱☞❴❛❵✍❱❝❜❞❱☞❴❡❳❩❢❡❣✢❱✐❤❩❨❦❥❧❬❯❳❩♠✣♥❩♠✣❨❭❴♦♥❩♠✣❨

♣❭qsr✆t✈✉①✇③②✯④⑤✉

(2)

✴ ✵✶✴✶✷✸✵✬✹✻✺✽✼✾✴ ✿❀✹ ❁❃❂✾❄❀❅✾✴✲❆

❇❈❄❊❉ ❋✤✴✶❂❍● ❉❏■✰❑❏✴ ❅✾✴✶❂ ❉❏▲▼❄❀✷✸✴❏❇ ✿❀✹

● ❉◆✼❖✹P● ◗◆✼❖✺❘✵✰❉

✂✁☎✄✆✁✞✝✟✁✡✠☞☛✍✌✟✎✆☛✍✏✒✑✔✓✕✁✗✖✘✎✆☛✙✑✔✚✟✏✆✁☎✄✆✁✗✖✘✎✒✑✍✝✛✑☞✑✍☛✢✜✣✏✆☛✍✤✥✏✒✑✔✓✦✑

✝✟✁✧✜✩★✥✄✫✪✫✬✭✏✒✑✍✝✮✌✯✑✍✰✲✱✍☛✳✁✗✓✵✴✶✝✮✌✛✷✲✑✍✰✲✱✍☛✹✸✞✏✒✑✍✄✻✺✽✼✾✁✗✺✽✏✒✑✿✝✛✑

❀✯✑✍✷✗✌✟✼✾✝✛✑✍✝✟✁✭✝✟✁✢✴✶✝✮✌✛✷✲✑✍✰✲✱✍☛❁✝✛✑✙❂✢✖✟✺✽❃❄✁✗✏✆✄✻✺✾✝✛✑✍✝✟✁✢❀✛✁☎✝✟✁✗✏✒✑✔✼

✝✟☛❆❅✞✁✲✑✔✏✒❇✮❈❉✷☎☛✍✓✕☛❊✏✆✁☎❋✘✌✟✺✾✄✻✺✽✎✆☛✦✚✯✑✔✏✆✷✗✺●✑✔✼✣✚✯✑✔✏✒✑✦☛✍❍✟✎✆✁✗✖✛✰✲✱✍☛

✝✟☛✕❏■✽✎✻✌✟✼✾☛✕✝✟✁❑✠☞☛✍✌✟✎✆☛✍✏✢✁✗✓▲✴✶✝✮✌✛✷✲✑✍✰✲✱✍☛✟▼

rP❖③②✔◗⑨t✈✉❙❘ qsr✔❚

❯❲r q❙❱✆❲✢❳ r✔❲❩❨❘②✯rP❬❪❭❫◗❴❖③q❆❵ qsrP❛s②✔❜❑❝❘② t q

♣❭qsr✆t✈✉①✇③②✯④⑤✉

(3)

◆✍✌✙◆ ❝ ✌✏✎ ✒✑ ◆ ❳ ✎✔✓✞✕✏✖ ❯ ◆ ❚✘✗ ✖ ✝ ♣ ◆✙✕ ✄✚✝✜✛✣✢ ◆ ❯ ◆✙✕ ✝✥✤ ✖ ❝ ◆ ✗ ❳ ✎ ✄✚✝✦✑ ✎ ✄✚✧✦✑★ ✌ ✝

✑ ②✔❜ ② ❘ ② ❳ q✩✠ t qsr ✉❙❬✛②✔◗⑨t q✐✉✂✪ r ②✔❜ ②✔◗⑨t✈✉❙❘❭✉✤✉①q ❯❲r q✮❛sr ✉❙❬ ✉ ❘ ② ❯☎✫✮❜✭✬ ✓ r ✉❙❘✡✠❭✉✂✮✰✯①q ②✔❬ ✎ ❘✡✠✡✱⑤✉✂✮✰✯①q

❵ r ✉❙❜P❖③✇③②✔❖③r ✉ ❘❭✉✂♣ ✉✂✱✲✠ ✇❫❘❭✉❙❘ ② ❘ ② ✎ ❘✡✠✡✱⑤✉✂✮✰✯①q ❘❭✉ ✖ ◗❴❖✴✳s②✯rP❜P❖❫❘❭✉❙❘ ②✏♣❭②✔❘ ②✯r ✉①✇❏❘ q ✌ ②⑤✉①r✶✵✸✷✹✱✯q✮❬✛q✂r ②✲☛☞✠❴❖❫❜P❖t q

✪❭✉①r✆✱✔❖✉①✇✺✪❭✉①r ✉ q✩✁ t ②✔◗✡✮✰✯①q❪❘ q✻✑✙❭t✶✠ ✇③q ❘ ②✦❳ q✩✠ t qsr ②✔❬ ✎ ❘✡✠✡✱⑤✉✂✮✰✯①q ❵ r ✉❙❜P❖③✇③②✔❖③r ✉ ❲

❳✕✉ t✈✉❆❘❭✉✏✉✂✪ r q✼✳①✉✂✮✰✯①q❴❚★✽✼✾ ❘ ②✕❬ ✉①r✆✮✯q❆❘ ② ⑥①⑦s⑦⑨⑧

❵✽✉❙◗✡✱⑤✉ ✎❀✿

✉❙❬❪❖❫◗❭✉❙❘ qsr ✉ ❚

❯❲r q❙❱✆❲❩❳ r✔❲✢❨❘②✯rP❬❪❭❫◗❴❖③q ❵ qsrP❛s②✔❜ ❝❘② t q❁✬

rP❖③②✔◗⑨t✈✉❙❘ qsr❄❃

❯❲r q❙❱✆❲✢❳ r✔❲✣❅①q❆✯①q❇✄✒q✮◗⑨t ②✔◗ ②✔❛sr q❪❘ ②❈✄ ❖③r ✉❙◗❴❘❭✉❈✬ ✖❉✎❊✌✏✎

❯❲r q❙❱✆❲❩❳ r✔❲✣❅①q✮❜✆❋✞✝❁❖③r ②✔❜❑❘ ② ✌ ✉ t r q✛♣✞❖③✇✟● q❍✬ ✖ ♣ ✌

❯❲r q❙❱ ✉ ❲✢❳ r ✉ ❲❊✄✑✉①r✆✱✔❭③✇❫❖ ✉ ❳✕✉❙◗⑨t✈✉❙❜ ❵✽✉①r r ② t q■✬

✖❉✎❊✌✏✎

❯❲r q❙❱✆❲❩❳ r✔❲ ◆ r ✇✉❙◗❴❘ q ◆ ❜✆t✈✉❙◗ ✇③②❑❏✚❅✂✠ rP❖✉❙◗❴❜✣✬ ✖ ✗ ❯

(4)
(5)

✂✁☎✄✝✆✟✞✡✠☞☛✍✌✏✎✑✠☞✒✔✓✖✕✘✗

✝❁❛sr ✉❙❘ ②✲✮✯q✛✉①q ✑ q✯❘ q✡✷ ✉❆❳ ②✲✠❴❜✲✷ ✪♦②✯✇✉❙❜✙❬❁✠❴❖t✈✉❙❜✣✉✚✙✆✠❴❘❭✉❙❜❑❖❫◗⑨t ②✯rP◗❭✉❙❜ r ②✲✱✯②✲✁❴❖❫❘❭✉❙❜✔❲

✝❁❛sr ✉❙❘ ②✲✮✯q✑✉①q✮❜✦❜ ②✯r ②✔❜❈●☞✠❴❬ ✉❙◗ q✮❜❍✪♦②✯✇✉❙❜✠✉✚✙✆✠❴❘❭✉❙❜✱② ✿ t ②✯rP◗❭✉❙❜✱r ②✲✱✯②✲✁❴❖❫❘❭✉❙❜✔❲ ✎ ❜✆t✈✉❙❜✠t✈✉❙❬❁✁✘❋✔❬ ❱ qsr ✉❙❬

(6)

✱✯qsr r ②✔◗⑨t ②❙❚✭❜ ②✔❬✻✪ r ②❍☛☞✠ ②❊❜ ②❍✪❭✉①r ✉✸✷♦✉❙◗❴❘❭✉ ✬

❜ ②✞✪❭✉①r ✉✥t r✶✵❙❜✂✁☎❲

(7)

✂✁☎✄✝✆✟✞ ✠

✎ ❜✆t ②❲t r ✉✂✁❭✉①✇✟● q t ②✔❬ ✪♦qsr q✩✁ ✙ ② t✗❖✴✳sq❘✉❙◗❭✉①✇❫❖❫❜ ✉①r✢q★✱✯q✮◗✡✱✯②✔❖t q❑❘ ② ❛sr✆✠✡✪♦q☞❱ qsrP❬ ✉❙❘ q★✪♦qsr ✉①✇✟✠❴◗ q✮❜ ❘ q ✱✲✠ rP❜ q❑❘ ②

✄✑✉ t ②✔❬❇✵ t✗❖✟✱⑤✉ ❘❭✉ ✖ ◗❴❖✴✳s②✯rP❜P❖❫❘❭✉❙❘ ②❘♣❭②✔❘ ②✯r ✉①✇ ❘ ② ✌ ✉❙❬✻✪❴❖❫◗❭✉ ✓ r ✉❙◗❴❘ ②✏✬ ✌ ✉❙❬✻✪✡✠❴❜✢❘ ② ✌ ✉❙❬✻✪❴❖❫◗❭✉ ✓ r ✉❙◗❴❘ ②✂✷

②✔❬ ❜ ②✲✠✚✪ rP❖❫❬✛②✔❖③r q❁✱✲✠ rP❜ q❪❘ ②❍✵①✇❫❛s②✲✁ r ✉ ✉✂✁❴❜✆t r ✉ t✈✉ r ②⑤✉①✇❫❖③④⑤✉❙❘ q ◗ q❆❜ ②✔❛✩✠❴◗❴❘ q❪❜ ②✔❬✛②✔❜✆t r ②✦❘ ② ⑥①⑦s⑦⑨⑥ ❲❩❝❘②✔❜P❜ ✉

✉❙◗ ✵①✇❫❖❫❜ ②✂✷✦✁✡✠❴❜✆☛☞✠ ②✔❖★✱✯q✮❬✻✪ r ②✯②✔◗❴❘ ②✯r✥q ✱✯q✮◗✡✱✯②✔❖t q ❘ ②✂q✩✪♦②✯r ✉✂✮✰✯①q ✁❴❖❫◗ ✵①rP❖✉✒②✔❬ ✠❴❬ ✱✯q✮◗ ✙✆✠❴◗⑨t q ❱ qsrP❬ ✉❙❘ q

✪♦qsr✱②✔❜P❜ ②✔❜ ✉①✇✟✠❴◗ q✮❜✲✷ ✉❙❜❊❜ qs✇✟✠✡✮☛✡❛②✔❜❊❘❭✉❙❘❭✉❙❜❈✪❭✉①r ✉✑✉❙❜❊❜P❖t✶✠❭✉✂✮☛✡❛②✔❜✭✬✒✪ r q✩✁ ✇③②✔❬ ✉ ◗❭✉❙❜❈☛☞✠❭✉❙❖❫❜✱q ✱✯q✮◗✡✱✯②✔❖t q✧❘ ②

❛sr✆✠✡✪♦q ②✯r ✉ ②

✪ ✇❫❖✟✱✔❖t❄✵✰✳s②✯✇ ②✂✷✏✪♦qsr ✛❉❬✚✷ q ✱✯q✮◗✡✱✯②✔❖t q ❘ ②✧❛sr✆✠✡✪♦q ✪♦qsr✏②✯✇③②✔❜❆❱ qsrP❬ ✉❙❘ q❴❲ ✑ q✮❬✛②✔❖ ✱✯q✮❬✛q

r ② ❱ ②✯r✌☞✔◗✡✱✔❖✉❞✉ ✪ r q✩✪♦q✮❜✆t✈✉✹❘ ② ✤ ②❑✳ ✗❛②✔❬✛②✔◗ q✼✳✯❖✟✱❄●✔▲✦❏✯❛sq①t✗❜✌✍❆❏ ❜ q✩✁ r ② ✉ ✉✂✁♦qsrP❘❭✉❙❛s②✔❬ ❜✆✫ ✱✔❖③q ✬✒●❴❖❫❜✆t✶✫srP❖✟✱⑤✉

②✔❬ ❜✆✠❭✉ ✪ r q✩✪♦q✮❜P❖✟✮✰✯①q✧❘ ②❇☛☞✠ ②☛q ✪ r q ✱✯②✔❜P❜ q ❘ ②❪❱ qsrP❬ ✉✂✮✰✯①q ❘ ② ✱✯q✮◗✡✱✯②✔❖t q✮❜❈✪♦②✯✇③q✧❜✆✠ ✙ ②✔❖t q ❋ ❬✛②✔❘❴❖✉❙❘ q✡✷

②✔❜P❜ ②✔◗✡✱✔❖ ✉①✇❫❬✛②✔◗⑨t ②✂✷✏✪♦②✯✇✉ ✪❭✉①✇✉✰✳❛r ✉✸✷ ②✑✉ ❘ ② ✓ ❋✯r ✉①rP❘ ▲ ②✯rP❛✮◗❭✉✂✠❴❘ ❜ q✩✁ r ②✑✉ t ②✯qsrP❖ ✉ ❘ q✮❜✻✱⑤✉❙❬✻✪♦q✮❜■✱✯q✮◗ ✬

✱✯②✔❖t✶✠❭✉❙❖❫❜✲✷✩◗❭✉ ☛☞✠❭✉①✇ ✉ ❱ qsrP❬ ✉✂✮✰✯①q ❘ q ✱✯q✮◗✡✱✯②✔❖t q ✪♦②✯✇③q ❜✆✠ ✙ ②✔❖t q☛②✔❜✆t❄✵ ✪♦q✮◗⑨t✶✠❭✉❙❘❭✉✸✷✩❱✠❴◗❴❘❭✉❙❬✛②✔◗⑨t✈✉①✇❫❬✛②✔◗⑨t ②✂✷

✪♦②✯✇✉❙❜ ❜P❖t✶✠❭✉✂✮☛✡❛②✔❜ ②✔◗❆✳sqs✇✴✳s②✔◗❴❘ q✑q ✱✯q✮◗✡✱✯②✔❖t q✡✷✹✪♦qsr❩②✯✇③②■✳✯❖✴✳s②✔◗✡✱✔❖✉❙❘❭✉❙❜✔❲❆❯☞✉①r ✉❫②✔❜✆t✈✉ ✪♦②✔❜✆☛☞✠❴❖❫❜ ✉✸✷☞✉✂✪ ✇❫❖✟☛☞✠ ②✔❖

✠❴❬ ❖❫◗❴❜✆t r✆✠❴❬✛②✔◗⑨t q ❘❴❖✉❙❛✮◗✡✫✮❜✆t✗❖✟✱✯q ✱✯q✮◗❴❜✆t✗❖t✶✠❴❭❫❘ q ❘ ② ✪♦②✯rP❛✩✠❴◗⑨t✈✉❙❜✛②✔❬✚✉✂✁♦②✯r✆t q ② ❜P❖t✶✠❭✉✂✮☛✡❛②✔❜✭✬✒✪ r q✩✁ ✇③②✔❬ ✉✸✷

❜ ②✔❛✩✠❴❖❫❘ q✧❘❭✉✒r ②⑤✉①✇❫❖③④⑤✉✂✮✰✯①q ❘ ②✛②✔◗⑨t r ②❑✳✯❖❫❜✆t✈✉❙❜✔❲

q✮◗❴❜✆t✈✉ t ②✔❖✢◗❭✉✑✉❙◗ ✵①✇❫❖❫❜ ② ❘ q✮❜❈✱✯q✮◗✡● ②✲✱✔❖❫❬✛②✔◗⑨t q✮❜✱②

✪ r ②✔❜P❜ q✮❜

✪♦qsr✥②✔❜✆✱✯rP❖t q✡✷✦✠❴❬ ②✯✇③②❑✳①✉❙❘ q ❛sr ✉✂✠✹❘ ② ❘❴❖✛ ✱✲✠ ✇❫❘❭✉❙❘ ② ◗❭✉✞②✯✇✉✂✁♦qsr ✉✂✮✰✯①q✧❘❭✉❙❜ ❜ qs✇✟✠✡✮☛✡❛②✔❜ ❘❭✉❙❜✏✉ t✗❖✴✳✯❖❫❘❭✉❙❘ ②✔❜✲✷

✁♦②✔❬ ✱✯q✮❬✛q❇✠❴❬ ✉ ☛☞✠❭✉❙◗⑨t✗❖❫❘❭✉❙❘ ②❈✱✯q✮◗❴❜P❖❫❘ ②✯r✶✵✰✳s②✯✇✞❘ ②✦❜ qs✇✟✠✡✮☛✡❛②✔❜❁◗ ✯①q ②✔❜✆✪♦②✯r ✉❙❘❭✉❙❜ ②❊❖❫◗✡✱✯q❛②✯r ②✔◗⑨t ②✔❜❉✪❭✉①r ✉ ✉❙❜

❜P❖t✶✠❭✉✂✮☛✡❛②✔❜✭✬✒✪ r q✩✁ ✇③②✔❬ ✉ ❲ ✝✔✉❙◗ ✵①✇❫❖❫❜ ② ❘ q✮❜❆❘❭✉❙❘ q✮❜✛r ②⑤✉①✇❫❖③④⑤✉❙❘❭✉✸✷ ✉✂✪✘✫✮❜✏✉❙❜✛②✔◗⑨t r ②❑✳✯❖❫❜✆t✈✉❙❜✲✷✭❬✛q✮❜✆t r ✉❙❬ ✠❴❬ ✉

❘❴❖❫❬❪❖❫◗☞✠❴❖✟✮✰✯①q✕❜P❖❫❛✮◗❴❖✛ ✱⑤✉ t✗❖✴✳①✉ ❘ ②❁❜ qs✇✟✠✡✮☛✡❛②✔❜✭❘ ②✔❜✆t✈✉❊◗❭✉ t✶✠ r ②✯④⑤✉✸✷ ② r ②❑✳s②✯✇ ✉❙❬✗q❈✪♦q①t ②✔◗✡✱✔❖ ✉①✇ ✱✯q✮◗❴❜✆t r✆✠ t✗❖✴✳sq ❘ q✮❜

✉①✇✟✠❴◗ q✮❜ ☛☞✠❭✉❙◗❴❘ q✱✉✂✠ ✿ ❖③✇❫❖ ✉❙❘ q✮❜▼✪♦qsr ✠❴❬ ✉✙✪♦②✔❜P❜ q⑨✉✕❬ ✉❙❖❫❜❲② ✿ ✪♦②✯rP❖③②✔◗⑨t ②❙❲ ✎ ❜P❜ ✉❙❜❊✱✯q✮◗❴❜✆t✈✉ t✈✉✂✮☛✡❛②✔❜✢❬✛q✮❜✆t r ✉❙❬ ✉

❖❫❬✻✪♦qsr✆t✏✎❙◗✡✱✔❖✉ ②❑◗ ②✲✱✯②✔❜P❜P❖❫❘❭✉❙❘ ② ❘ ②❑❜ ② ✱✯q✮◗❴❜P❖❫❘ ②✯r ✉①r✲✷✛◗ q ②✔◗❴❜P❖❫◗ q✡✷❆✠❴❬✍✪ r q ✱✯②✔❜P❜P❜ q✱✇③q✮◗❴❛sq ❘ ②★✳✯❖✴✳✑☞✔◗✡✱✔❖✉✕❘ q✮❜

✉①✇✟✠❴◗ q✮❜✥✱✯q✮❬ ❜P❖t✶✠❭✉✂✮☛✡❛②✔❜✭✬✒✪ r q✩✁ ✇③②✔❬ ✉ ◗☞✠❴❬✔②✔❜✆✪❭✉✂✮✯q ✪♦②✯rP❬✛②⑤✉❙❘ q ✪♦qsr ❘ ②✲✁❭✉ t ②✔❜❩②✔◗⑨t r ②■✪ r q❙❱②✔❜P❜ qsr✭✬ ✉①✇✟✠❴◗ q

②✕✉①✇✟✠❴◗ q ✬ ✉①✇✟✠❴◗ q✡✷✟❬✛②✔❘❴❖✉❙❘ q✮❜❊✪♦②✯✇③q❍✱✯q✮◗✡● ②✲✱✔❖❫❬✛②✔◗⑨t q✡✷✯❱✉✰✳sqsr ②✲✱✯②✔◗❴❘ q✏✉✦❘❴❖❫❜✆✱✲✠❴❜P❜✶✯①q ❘ ②❁❜ qs✇✟✠✡✮☛✡❛②✔❜✲✷ ❘ ✁✸✳✯❖❫❘❭✉❙❜

②✕❖❫❘✡❋✔❖✉❙❜★✱✯rP❖✉ t✗❖✴✳①✉❙❜☞◗ q✏②✔❜✆t✶✠❴❘ q ❘ q✮❜★✱✯q✮◗✡✱✯②✔❖t q✮❜❑❬ ✉ t ②✔❬❇✵ t✗❖✟✱✯q✮❜✔❲

❯☞✉①✇✉✰✳❛r ✉❙❜✭✬✒✱❄●❭✉✰✳s②❙❚ ②✔❜✆t r✆✠ t✶✠ r ✉ ✉①✇❫❛✩❋✲✁ rP❖✟✱⑤✉ ❘ ② ❛sr✆✠✡✪♦q✡✷ ❱ qsrP❬ ✉✂✮✰✯①q ❘ ② ✱✯q✮◗✡✱✯②✔❖t q✮❜✲✷ ②✔◗❴❜P❖❫◗ q ❘ ②

(8)

✁ ✄✄✂ ✂✆☎

✑★●❴❖❫❜✞✝ qsr✌✍ ●❭✉❙❜❘t✶● ②✱q✩✁ ✙ ②✲✱ t✗❖✴✳s②✠t q✂✉❙◗❭✉①✇✴❏✯❜ ② t✶● ②❊❛sr q✩✠✡✪ ✱✯q✮◗✡✱✯②✲✪ t ❱ qsrP❬✛②✔❘ ✁❆❏❫t✶● ②❊❜✆t✶✠❴❘ ②✔◗⑨t✗❜❩q❙❱ t✶● ②

✄✑✉ t✶● ②✔❬ ✉ t✗❖✟✱✔❜ ✌ q✩✠ rP❜ ②✒✉ t✥t✶● ②❫♣❭②✔❘ ②✯r ✉①✇ ✖ ◗❴❖✴✳s②✯rP❜P❖t✒❏ q❙❱ ✌ ✉❙❬✻✪❴❖❫◗❭✉ ✓ r ✉❙◗❴❘ ②❇✬ ✌ ✉❙❬✻✪❴❖❫◗❭✉ ✓ r ✉❙◗❴❘ ②

✌ ✉❙❬✻✪✡✠❴❜✲✷ ✉❙❜❘✉ r ②✔❜✆✠ ✇t✣q❙❱❡t✶● ②✔❖③r ✛❭rP❜✆t✜✱✯q✩✠ rP❜ ②✕❖❫◗✒✉✂✁❴❜✆t r ✉✂✱ t❘✉①✇❫❛s②✲✁ r ✉✱t✈✉ ✍①②✔◗ ❖❫◗✂t✶● ② ❜ ②✲✱✯q✮◗❴❘✧❜ ②✔❬✛②✔❜✆t ②✯r

q❙❱ ⑥①⑦s⑦⑨⑥ ❲ ✑★● r q✩✠❴❛✩● q✩✠ t t✶●❴❖❫❜✏✉❙◗❭✉①✇✴❏✯❜P❖❫❜■❈●❭✉✰✳s②✂t rP❖③②✔❘ t q ✠❴◗❴❘ ②✯rP❜✆t✈✉❙◗❴❘❈t✶● ② ✱✯q✮◗✡✱✯②✲✪ t✛q❙❱✕✉ ✁❴❖❫◗❭✉①r ❏

q✩✪♦②✯r ✉ t✗❖③q✮◗ ❖❫◗ ✉✳❜ ② t✰✷ ❱ qsrP❬✛②✔❘ ✁❆❏ t✶● ②✔❜ ② ❜✆t✶✠❴❘ ②✔◗⑨t✗❜✲✷ t✶● ② ✉✂✱ t✗❖③q✮◗❴❜✂✉❙◗❴❘ q✩✪♦②✯r ✉ t✗❖③q✮◗❴❜ ❬ ✉❙❘ ②✟✝ ● ②✔◗

❘ ②⑤✉①✇❫❖❫◗❴❛✠✝❑❖t✶● ✪ r q✩✁ ✇③②✔❬■✬✻❜P❖t✶✠❭✉ t✗❖③q✮◗❴❜ ❖❫◗✡✝ ●❴❖✟✱❄●❦t✶● ② ❛sr q✩✠✡✪ ✱✯q✮◗✡✱✯②✲✪ t✄✝✽✉❙❜☛②

✪ ✇❫❖✟✱✔❖t✰✷ ✉❙◗❴❘✺✷ ✛❉◗❭✉①✇③✇✴❏✩✷

t✶● ②✦❛sr q✩✠✡✪✚✱✯q✮◗✡✱✯②✲✪ t ❱ qsrP❬✛②✔❘✚✁❆❏✂t✶● ②✔❬ ❲ ✽r ② ❱②✯r r ②✔❘✒t q t✶● ②❈✤ ②❑✳ ✗❛②✔❬✛②✔◗ q✼✳✯❖✟✱❄●✚▲✦❏✯❛sq①t✗❜✌✍❆❏ ✪ r q✩✪♦q✮❜ ✉①✇

✉✂✁♦q✩✠ t❘t✶● ②❊❜ q ✱✔❖✉①✇✬✒●❴❖❫❜✆t qsrP❖✟✱⑤✉①✇ ✉✂✪✡✪ r q⑨✉✂✱❄●☛✝ ● ②✔◗ ● ②❊❜✆✠❴❛✮❛s②✔❜✆t ②✔❘✞t✶●❭✉ t❘t✶● ②✱q✮◗ ②✔❜❉✪ r q ✱✯②✔❜P❜✕q❙❱✦✱✯q✮◗✡✱✯②✲✪ t

❱qsrP❬ ✉ t✗❖③q✮◗☞✝✽✉❙❜✣②✔❜P❜ ②✔◗⑨t✗❖✉①✇③✇✴❏ ❬✛②✔❘❴❖✉ t ②✔❘ ✁❆❏✄✝ qsrP❘✺✷ ✉❙◗❴❘ ✓ ❋✯r ✉①rP❘ ▲ ②✯rP❛✮◗❭✉✂✠❴❘✍✌❜❘✉✂✁♦q✩✠ t✽t✶● ②❩t✶● ②✯qsr ❏☛q❙❱

✱✯q✮◗✡✱✯②✲✪ t✶✠❭✉①✇ ✛❭②✯✇❫❘❴❜✲✷✩❖❫◗✎✝ ●❴❖✟✱❄● q✮◗ ②✔❜❁❱qsrP❬ ✉ t✗❖③q✮◗✒q❙❱ ✉❇✱✯q✮◗✡✱✯②✲✪ t✏✝✽✉❙❜ ❘ ② t ②✯rP❬❪❖❫◗ ②✔❘✺✷✘✪❭✉①r✆t✗❖✟✱✲✠ ✇✉①r ✇✴❏✩✷ ✁❆❏

❜P❖t✶✠❭✉ t✗❖③q✮◗❴❜ ❖❫◗❆✳sqs✇✴✳✯❖❫◗❴❛ ❖❫◗✒t✶● ②❈✱✯q✮◗✡✱✯②✲✪ t❩② ✿ ✪♦②✯rP❖③②✔◗✡✱✯②✔❘ ✁❆❏ ●❴❖❫❬ ❲❘♣❭qsr✣t✶●❴❖❫❜ r ②✔❜ ②⑤✉①r✆✱❄● ★●❭✉✰✳s② ✉✂✪✡✪ ✇❫❖③②✔❘

❬✛②⑤✉❙◗❴❜ q❙❱❴❖❫◗❆✳s②✔❜✆t✗❖❫❛⑨✉ t✗❖③q✮◗✞✱✯q✮◗❴❜✆t✗❖t✶✠ t ②✔❘❈✁❆❏✠q✩✪♦②✔◗❈☛☞✠ ②✔❜✆t✗❖③q✮◗❴❜☞✉❙◗❴❘❈✪ r q✩✁ ✇③②✔❬■✬✻❜P❖t✶✠❭✉ t✗❖③q✮◗❁❱ ✉✂✱ t✗❜✲✷✘❱ qs✇③✇③q✑✝ ②✔❘

✁❆❏✧❖❫◗⑨t ②✯r ✳✯❖③②✒✝❑❜✔❲❉★●❭✉✰✳s② ◗ q①t✗❖✟✱✯②✔❘✺✷✂❖❫◗✒t✶● ②✥✉❙◗❭✉①✇✴❏✯❜P❖❫❜❘q❙❱ t✶● ② ✍✛◗ q✑✝✣✇③②✔❘❴❛s②✥②

✪ r ②✔❜P❜ ②✔❘ ❖❫◗✒t✶● ②✓✝✣rP❖ t✗❖❫◗❴❛✡✷

✉✚●❴❖❫❛✩● ✇③②❑✳s②✯✇ q❙❱☞❘❴❖✕✔✻✱✲✠ ✇t✒❏ ❖❫◗ t✶● ②❪❬ ✉ ✍✛❖❫◗❴❛❫q❙❱☞❜ qs✇✟✠ t✗❖③q✮◗❴❜ ❱ qsr❩t✶● ② ✉✂✱ t✗❖✴✳✯❖t✗❖③②✔❜✲✷ ✉❙❜✖✝ ②✯✇③✇ ✉❙❜✱✉ ❛sr ②⑤✉ t

✉❙❬✛q✩✠❴◗⑨t q❙❱✏✠❴◗ ②

✪♦②✲✱ t ②✔❘ ✉❙◗❴❘ ❖❫◗✡✱✯q✩● ②✯r ②✔◗⑨t✠q❙❱ t✶● ② ✪ r q✩✁ ✇③②✔❬■✬✻❜ qs✇✟✠ t✗❖③q✮◗❴❜✔❲❈✑★● ②❪❘❭✉ t✈✉❫✉❙◗❭✉①✇❫❖❫❜P❖❫❜ ❘ q✮◗ ②

✉✘❱ t ②✯r t✶● ②✔❜ ② ❖❫◗⑨t ②✯r ✳✯❖③②✒✝❑❜❪❜✆● q✑✝❑❜☛✉ ❜P❖❫❛✮◗❴❖✛ ✱⑤✉ t✗❖✴✳s② ❘ ②✲✱✯r ②⑤✉❙❜ ②✧❖❫◗ t✶● ② ◗☞✠❴❬❁✁♦②✯r✏q❙❱ ❜ qs✇✟✠ t✗❖③q✮◗❴❜ q❙❱❘t✶●❴❖❫❜

◗❭✉ t✶✠ r ②✒✉❙◗❴❘ t✶● ②❑❏ r ②❑✳s②⑤✉①✇ t✶● ② ✱✯rP❖✉ t✗❖✴✳s② ✪♦q①t ②✔◗⑨t✗❖✉①✇ q❙❱❘t✶● ② ❜✆t✶✠❴❘ ②✔◗⑨t✗❜✗✝ ● ②✔◗❈t✶● ②❑❏❞✉①r ② ● ②✯✇✟✪♦②✔❘ ✁❆❏

✉✧❬✛qsr ② ② ✿ ✪♦②✯rP❖③②✔◗✡✱✯②✔❘ ✪♦②✯rP❜ q✮◗ ❲ ✑★● ②✔❜ ② ❱ ✉✂✱ t✗❜ ❜✆● q✑✝✗t✶● ② ❖❫❬✻✪♦qsr✆t✈✉❙◗✡✱✯② ✉❙◗❴❘✹◗ ②✯②✔❘ t q ✱✯q✮◗❴❜P❖❫❘ ②✯r✲✷ ❖❫◗

t ②⑤✉✂✱❄●❴❖❫◗❴❛✡✷❲✉✑✇③q✮◗❴❛ ✪ r q ✱✯②✔❜P❜✥q❙❱✙❜✆t✶✠❴❘ ②✔◗⑨t✗❜✘✌❖❫◗❆✳sqs✇✴✳s②✔❬✛②✔◗⑨t✙✝❑❖t✶● ✪ r q✩✁ ✇③②✔❬■✬✻❜P❖ t✶✠❭✉ t✗❖③q✮◗✟✝❑❖t✶●❴❖❫◗ ✉✧❜✆✪❭✉✂✱✯②

✪♦②✯rP❬✛②⑤✉ t ②✔❘✡✝❑❖t✶●❈✉ ❜✆✱✔❖③②✔◗⑨t✗❖ ✛ ✱ ❘ ②✲✁❭✉ t ② ✁♦② t✚✝ ②✯②✔◗❦t ②⑤✉✂✱❄● ②✯r ✉❙◗❴❘ ❜✆t✶✠❴❘ ②✔◗⑨t✗❜☛✉❙◗❴❘ ❜✆t✶✠❴❘ ②✔◗⑨t ✬✻❜✆t✶✠❴❘ ②✔◗⑨t✰✷

❬✛②✔❘❴❖✉ t ②✔❘ ✁❆❏ ✍✛◗ q✑✝✣✇③②✔❘❴❛s②✂✷❉❖❫◗ ❱ ✉✰✳sqsrP❖❫◗❴❛✥t✶● ② ❘❴❖❫❜✆✱✲✠❴❜P❜P❖③q✮◗❫q❙❱ t✶● ②✔❖③r☞❜ qs✇✟✠ t✗❖③q✮◗❴❜✲✷ ❘ q✩✠✡✁ t✗❜❘✉❙◗❴❘ ✱✯r ②⑤✉ t✗❖✴✳s②

❖❫❘ ②⑤✉❙❜❑❖❫◗✂t✶● ②✕❜✆t✶✠❴❘✸❏✂q❙❱✞❬ ✉ t✶● ②✔❬ ✉ t✗❖✟✱⑤✉①✇ ✱✯q✮◗✡✱✯②✲✪ t✗❜✲✷ ②✔❜✆✪♦②✲✱✔❖ ✉①✇③✇✴❏✩✷❛t✶● ②✠✉①✇❫❛s②✲✁ r ✉❙❖✟✱✕q✮◗ ②✔❜✔❲

(9)

✽ ❯ ②✯r✆✱✯②✔◗⑨t✶✠❭✉❙❖❫❜ ❘ ② r ②✔❜✆✠ ✇t✈✉❙❘ q✮❜❑◗❭✉ ❘❴❖❫❜✆✱✔❖✟✪ ✇❫❖❫◗❭✉❈✧ ✇❫❛s②✲✁ r ✉■❑❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔✓

✽✮❲✴✽ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✛✉✂✁❴❜✆t r ✉ t q✖✕✘✗✚✙✜✛✣✢✥✤✔✢✥✦✧✢✥★✣✢✪✩✫✢✭✬✯✮ ❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✰✓ ⑦

✽✮❲

❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✛✉✂✁❴❜✆t r ✉ t q✖✕✲✱✳✗✘✙✜✛✴✱✵✢✥✤✥✱✶✢✥✦✷✱✵✢✥★✴✱✸✢✪✩✯✱✶✢✭✬✹✱✷✮ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✰✓

✽✮❲✓ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✛✉✂✁❴❜✆t r ✉ t q✖✕✻✺✼✗✘✙✜✛✽✺✾✢✥✤✭✺✿✢✥✦✥✺✾✢✥★✽✺✾✢✪✩✣✺✾✢✭✬❀✺❁✮ ❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✰✓✸✽

✓ ❲✴✽ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✖❂✑✗✘✙❄❃✽❅✷✢✷❃✧❆✔✢✷❃✧❇✶✢✷❃✔❈✔✢✷❃✧❉✶✢✷❃✧❊✵✮ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✰❋ ⑦

● ❲✴✽ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q■❍▲❘ ②✠✉✂✮☛✡❛②✔❜ ❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽

⑧s⑥

● ❲⑥ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✖❏✑✗✘✙✜❑▼▲✔✢✥❑✖◆❖P✢✥❑❘◗P✢✥❑✖❙

✮ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽ ⑧s⑧

● ❲✓ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✝✕✚✗✚✙ ❚■✢ ❍❯✢ ❍▼❍❯✢ ❍▼❍▼❍❯✢ ❍▼❍▼❍▼❍❱✢ ❍▼❍▼❍▼❍▼❍❲✮ ❲✦❲✦❲✦❲✦❲✦❲ ✽ ⑧✽❳

❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✝✕ ✺ ✗✚✙ ❚✝✢ ❍❯✢ ❍▼❍❯✢ ❨✝✢ ❍❩❨✖✢ ❍▼❍❩❨✝✮ ❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔❬

⑧ ❲✴✽ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆◗ q ✱✯q✮◗ ✙✆✠❴◗⑨t q❪❛s②✔◗✡❋✯rP❖✟✱✯q❪❭❫✗✚✙✜✛P❅✷✢✥✛✴❆✶✢✶❴❁❴❁❴❁✢✥✛✽❵✹✮ ❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔❬✽❋

⑧ ❲⑥ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆◗ q ✱✯q✮◗ ✙✆✠❴◗⑨t q❪❭❛✗✘✙✜❜✽✢✥✛✣✢✥✤✔✢✥✦✔✮ ❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔❬✽❋

❲✓ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆◗ q ✱✯q✮◗ ✙✆✠❴◗⑨t q❪❭❛✗✘✙✜✛✣✢✥✤✔✢✥✦✔✮ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽

❳ ●

⑧ ❲● ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q❝✙✔❞✫❅✸✢✪❞❡❆✶✢✪❞❡❇✶✢✪❞❢❈✧✢✪❞❡❉✶✢✪❞❡❊✵✮ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽ ❳ ❋

⑧ ❲⑧ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q❝✙✧❣✯✢✥❤✐✢✥❚✝✢✥❥✟✮ ❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✼✾ ⑦

❲❬ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q❝✙❄❦❧❅✸✢✷❦♠❆✔✢✷❦♠❇✶✢✷❦♥❈✧✢✷❦♠❉✶✢✷❦♠❊✶✮ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✼✾✽✓

⑧ ❲❳ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✝❥♦❊♣✗✚✙✜❑▼▲✔✢✥❑

✢✥❑✖q

✢✥❑▼rs✢✥❑❩t✉✢✥❑❩✈s✮ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✼✾ ❳

(10)

❬ ❲✴✽ ✄✑✉ t rP❖③④ ✬ r ②✔❜✆✠ ✇t✈✉❙❘ q ❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜✣②✔❜✆✱✯rP❖t✈✉❙❜✣②❩qsr ✉❙❖❫❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥①⑦ ✓

❬ ❲⑥ ✗ ✠✡✁❴❬ ✉ t rP❖③④ ✬ r ②✔❜✆✠ ✇t✈✉❙❘ q ❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬❊✝ ✇✟✠❴◗ q✮❜ ❝ ❭✴✳s②✯✇✦✽ ❲✦❲✦❲✦❲✦❲ ⑥①⑦ ●

❬ ❲✓ ✗ ✠✡✁❴❬ ✉ t rP❖③④ ✬ r ②✔❜✆✠ ✇t✈✉❙❘ q ❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬❊✝ ✇✟✠❴◗ q✮❜ ❝ ❭✴✳s②✯✇

❲✦❲✦❲✦❲✦❲

⑥①⑦ ●

❬ ❲● ✗ ✠✡✁❴❬ ✉ t rP❖③④ ✬ r ②✔❜✆✠ ✇t✈✉❙❘ q ❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬❊✝ ✇✟✠❴◗ q✮❜ ❝ ❭✴✳s②✯✇✫✓ ❲✦❲✦❲✦❲✦❲ ⑥①⑦ ●

❬ ❲⑧ ✕ ②✔❜✆✠ ✇t✈✉❙❘ q❆❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜✣②✔❜✆✱✯rP❖t✈✉❙❜ ✌ ✉ t ②✔❛sqsrP❖✉❙❜ ⑥ ②✲✓❁✬✭❝ ❭✴✳s②✯✇✦✽ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥①⑦ ❋

❬ ❲❬ ✕ ②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉ ✌ ✉ t ②✔❛sqsrP❖✉

✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✏✬✭❝ ❭✴✳s②✯✇✦✽ ❲✦❲✦❲✦❲✦❲✦❲

❬ ❲❳

②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉

✉ t ②✔❛sqsrP❖✉■✓❈✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✏✬✭❝ ❭✴✳s②✯✇✦✽ ❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥ ✽ ⑦

❬ ❲✾ ✕ ②✔❜✆✠ ✇t✈✉❙❘ q❆❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜✣②✔❜✆✱✯rP❖t✈✉❙❜ ② qsr ✉❙❖❫❜ ✌ ✉ t ②✔❛sqsrP❖✉❙❜ ⑥ ②❲✓❈✬✭❝ ❭✴✳s②✯✇✦✽ ❲✦❲✦❲✦❲✦❲✦❲ ⑥ ✽✩✽

❬ ❲❋ ✕ ②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉ ✌ ✉ t ②✔❛sqsrP❖✉

✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬✭❝ ❭✴✳s②✯✇✦✽ ❲✦❲✦❲

✽✩✽

❬ ❲✴✽ ⑦

②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉

✉ t ②✔❛sqsrP❖✉■✓❈✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬✭❝ ❭✴✳s②✯✇✦✽ ❲✦❲ ⑥ ✽✔✓

❬ ❲✴✽✩✽ ✕ ②✔❜✆✠ ✇t✈✉❙❘ q❆❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜✣②✔❜✆✱✯rP❖t✈✉❙❜ ✌ ✉ t ②✔❛sqsrP❖✉❙❜ ⑥ ②✲✓❁✬✭❝ ❭✴✳s②✯✇ ⑥ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥s⑥✽❳

❬ ❲✴✽

✕ ②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉ ✌ ✉ t ②✔❛sqsrP❖✉

✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✏✬✭❝ ❭✴✳s②✯✇

❲✕❲✦❲✦❲✦❲✦❲✦❲

⑥s⑥✽❳

❬ ❲✴✽✔✓

②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉

✉ t ②✔❛sqsrP❖✉■✓❈✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✏✬✭❝ ❭✴✳s②✯✇ ⑥ ❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥s⑥ ✾

❬ ❲✴✽ ● ✕ ②✔❜✆✠ ✇t✈✉❙❘ q❆❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜✣②✔❜✆✱✯rP❖t✈✉❙❜ ② qsr ✉❙❖❫❜ ✌ ✉ t ②✔❛sqsrP❖✉❙❜ ⑥ ②❲✓❈✬✭❝ ❭✴✳s②✯✇ ⑥ ❲✦❲✦❲✦❲✦❲✦❲ ⑥s⑥ ✾

❬ ❲✴✽ ⑧

②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉

✉ t ②✔❛sqsrP❖✉ ⑥ ✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬✭❝ ❭✴✳s②✯✇ ⑥ ❲✦❲✦❲ ⑥s⑥ ❋

❬ ❲✴✽✔❬ ✕ ②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉ ✌ ✉ t ②✔❛sqsrP❖✉■✓❈✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬✭❝ ❭✴✳s②✯✇ ⑥ ❲✦❲✦❲ ⑥s⑥ ❋

❬ ❲✴✽

✕ ②✔❜✆✠ ✇t✈✉❙❘ q❆❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜✣②✔❜✆✱✯rP❖t✈✉❙❜ ✌ ✉ t ②✔❛sqsrP❖✉❙❜

②✲✓❁✬✭❝ ❭✴✳s②✯✇✫✓ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲

● ✓

❬ ❲✴✽✼✾

②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉

✉ t ②✔❛sqsrP❖✉ ⑥ ✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✏✬✭❝ ❭✴✳s②✯✇✫✓ ❲✦❲✦❲✦❲✦❲✦❲ ⑥ ● ✓

❬ ❲✴✽✔❋

②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉

✉ t ②✔❛sqsrP❖✉■✓❈✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✏✬✭❝ ❭✴✳s②✯✇✫✓ ❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥ ● ✓

❬ ❲

⑥①⑦

✕ ②✔❜✆✠ ✇t✈✉❙❘ q❆❘❭✉❙❜❑❜ qs✇✟✠✡✮☛✡❛②✔❜✣②✔❜✆✱✯rP❖t✈✉❙❜ ② qsr ✉❙❖❫❜ ✌ ✉ t ②✔❛sqsrP❖✉❙❜

②❲✓❈✬✭❝ ❭✴✳s②✯✇✫✓ ❲✦❲✦❲✦❲✦❲✦❲

●✽●

❬ ❲⑥ ✽

②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉

✉ t ②✔❛sqsrP❖✉ ⑥ ✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬✭❝ ❭✴✳s②✯✇✫✓ ❲✦❲✦❲ ⑥ ●✽●

❬ ❲⑥s⑥ ✕ ②✲✪♦② t✗❖✟✮☛✡❛②✔❜❑❘ ②✕❖t ②✔❬ ◗❭✉ ✌ ✉ t ②✔❛sqsrP❖✉■✓❈✬✏✗❛qs✇✟✠✡✮☛✡❛②✔❜ ②✔❜✆✱✯rP❖t✈✉❙❜✣② qsr ✉❙❖❫❜❊✬✭❝ ❭✴✳s②✯✇✫✓ ❲✦❲ ⑥ ●✽●

❳❊❲✴✽ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✁✄✂✐✗✘✙✆☎✽✢✞✝✪✢✠✟✽✢☛✡❢✢✌☞✍☎✽✢✌☞✎✝✪✢✌☞✏✟✽✢✌☞✑✡✯✮ ❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓✸✽

(11)

❲✴✽ ❳✕✉✏q✩✪♦②✯r ✉✂✮✰✯①q❆❘ q❆❛sr✆✠✡✪♦q✁ ✛✄✂ ✛

✗ ❜✆☎ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓✽✓ ⑥

✎ ❲⑥ ❳✕✉❩q✩✪♦②✯r ✉✂✮✰✯①q✕❘ q ❛sr✆✠✡✪♦q✝✑✛✣✢✥✤✔✢✥✦✞✂ ✛

✗ ✤

✗ ✦

✗ ❜✽✢✥✛✠✟ ✤♣✗ ✦✧✢✯✛✠✟ ✦✐✗ ✤✔✢✥✤✡✟ ✦ ✗ ✛☛☎ ✓✽✓ ⑥

(12)

● ❲✴✽ ❳❁❖✉❙❛sr ✉❙❬ ✉❊❘ ②✠✉✂✮☛✡❛②✔❜ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽ ● ❋

● ❲⑥ ✌ q✮❬✻✪♦q✮❜P❖✟✮✰✯①q ❘ ②✠✉✂✮☛✡❛②✔❜ ✠ t✗❖③✇❫❖③④⑤✉❙◗❴❘ q✥q❆❘❴❖✉❙❛sr ✉❙❬ ✉ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽ ⑧ ✽

❲✴✽ ✕ ②✲✪ r ②✔❜ ②✔◗⑨t✈✉✂✮✰✯①q ❘ q✮❜ ☛☞✠❭✉ t r q ✱✯q✮◗ ✙✆✠❴◗⑨t q✮❜ ❘ ②✞✪♦②✔❜P❜ q⑨✉❙❜✙❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✼✾

⑧ ❲⑥

②✲✪ r ②✔❜ ②✔◗⑨t✈✉✂✮✰✯①q ❘❭✉❙❜ ● qsr ✉❙❜ ✪❭✉①r ②✔❜ ✪❭✉①r ✉ q✟✞❬✛q✼✳✯❖❫❬✛②✔◗⑨t q ❘ ②✞✁❭✉❙❜ ② ✌ ❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✼✾✸✽

⑧ ❲✓ ✑ rP❖✎❙◗❴❛✩✠ ✇③q ②✲☛☞✠❴❖③✇✵ t ②✯r q■✱✯q✮❬ ❜ ②✲✠❴❜ ✳✩❋✯r✆t✗❖✟✱✯②✔❜✜✱✯q❛qsrP❘ ②✔◗❭✉❙❘ q✮❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✼✾ ⑧

✑ rP❖✎❙◗❴❛✩✠ ✇③q ②✲☛☞✠❴❖③✇✵ t ②✯r q■✱✯q✮❬ ❜ ②✲✠❴❜ ✳✩❋✯r✆t✗❖✟✱✯②✔❜ ◗☞✠❴❬✛②✯r ✉❙❘ q✮❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✼✾

❬ ❲✴✽ ✗❛qs✇✟✠✡✮✰✯①q

②✔❜✆✱✯rP❖t✈✉❆❃✣✪❭✉①r ✉✻✗ ⑥ ❲⑥ ✷❭✉①✇✟✠❴◗ q■❍✲❅ ❈ ✷❴◗❴❭✴✳s②✯✇✦✽ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥ ✽ ⑥

❬ ❲⑥ ✗❛qs✇✟✠✡✮✰✯①q

②✔❜✆✱✯rP❖t✈✉❆❃✣✪❭✉①r ✉✻✗P✓ ❲✴✽✩✷❭✉①✇✟✠❴◗ q■❍✲❅❑✷❴◗❴❭✴✳s②✯✇✦✽ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥ ✽ ❳

❬ ❲✓ ✗❛qs✇✟✠✡✮✰✯①q

②✔❜✆✱✯rP❖t✈✉❆❃✣✪❭✉①r ✉✻✗

❲✴✽✩✷❭✉①✇✟✠❴◗ q■❍✲❅ ❆✼✷❴◗❴❭✴✳s②✯✇

❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲

❬ ❲● ✗❛qs✇✟✠✡✮✰✯①q

②✔❜✆✱✯rP❖t✈✉❆❃✣✪❭✉①r ✉✻✗ ⑥ ❲⑥ ✷❭✉①✇✟✠❴◗ q■❍✲❅ ❊✼✷❴◗❴❭✴✳s②✯✇ ⑥ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥ ✓✽✓

❬ ❲⑧ ✗❛qs✇✟✠✡✮✰✯①q

②✔❜✆✱✯rP❖t✈✉❆❃✣✪❭✉①r ✉✻✗ ⑥ ❲⑥ ✷❭✉①✇✟✠❴◗ q■❍▼❉✼✷❴◗❴❭✴✳s②✯✇ ⑥ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥ ✓✽❬

❬ ❲❬ ✗❛qs✇✟✠✡✮✰✯①q

②✔❜✆✱✯rP❖t✈✉❆❃✣✪❭✉①r ✉✻✗P✓ ❲✴✽✩✷❭✉①✇✟✠❴◗ q■❍▼❆✼✷❴◗❴❭✴✳s②✯✇✫✓ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲

⑥ ● ⑧

❬ ❲❳ ✝❁◗ ②

q✚✽✙✬ ♣☞✇✟✠

q✮❛sr ✉❙❬ ✉❊❘ q❪❵✽✉✂✱❄●❭✉①r ②✯✇✉❙❘ q ❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥✽❳s⑥

(13)

✝✟✞✡✠☞☛✍✌✏✎✒✑✒✓✕✔✖✌ ❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ❬

✗✙✘✛✚✢✜✤✣ ✑✒✥ ✜✟✦✧✜★✜ ✌✪✩✒☛ ✚ ✌✬✫✭✞ ✜ ✥✮✞✯✌ ✚✰✦✲✱✴✳ ☛ ✚ ✞✒✎✒✥✶✵ ✦✖✷✪✚✢✸ ✎ ✦✬✹✺✚ ✌✪☛✻✥✦ ✎✯✌ ✜✴✼ ☛✻✑ ✳ ✌ ✜ ✗✢✽

✾❀✿ ✌✡✞ ✜ ✥✮✎ ✚ ☛ ✦ ✓✕❁ ✚✢✜❂✹✺✚❄❃ ☛✻✥✮❅ ✦✧✜ ❆✪❇

⑥ ❲✴✽ ✝ ✪♦②✯rP❜✆✪♦②✲✱ t✗❖✴✳①✉■●❴❖❫❜✆t✶✫srP❖✟✱✯q ✬✒✱✲✠ ✇t✶✠ r ✉①✇✂❘ ②✙▲✦❏✯❛sq①t✗❜✌✍❆❏ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✰✓✽❬

❲✴✽✮❲✴✽ ✝ ❱qsrP❬ ✉✂✮✰✯①q ❘ ②✞✱✯q✮◗✡✱✯②✔❖t q✮❜ ②✔❬ ▲✦❏✯❛sq①t✗❜✌✍❆❏ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ●

⑥ ❲✴✽✮❲⑥

✉①r ✉✂✱ t ②✯rP❭❫❜✆t✗❖✟✱⑤✉❙❜✲✷✏✳✯❭❫◗✡✱✲✠ ✇③q✮❜✛②✑r ②✯✇✉✂✮☛✡❛②✔❜ ②✔◗⑨t r ② ✱✯q✮◗✡✱✯②✔❖t q✮❜ ②✔❜✆✪♦q✮◗⑨t✏✎❙◗ ②✯q✮❜☛②

✱✯q✮◗✡✱✯②✔❖t q✮❜ ✱✔❖③②✔◗⑨t✗❭✛ ✱✯q✮❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ● ❋

⑥ ❲⑥ ✝ ✪♦②✯rP❜✆✪♦②✲✱ t✗❖✴✳①✉ ✱✯q✮❛✮◗❴❖t✗❖✴✳✯❖❫❜✆t✈✉✱②✠✉ ❱qsrP❬ ✉✂✮✰✯①q ❘ ②✞✱✯q✮◗✡✱✯②✔❖ t q✮❜✣②✔❬ ▲ ②✯rP❛✮◗❭✉✂✠❴❘ ❲✦❲✦❲✦❲ ⑧s⑥

❲✓ ✝❁❜ t ②✯qsrP❖ ✉❙❜ ② q✏q✩✁ ✙ ② t q❪❘ ②✞✪♦②✔❜✆☛☞✠❴❖❫❜ ✉ ❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲

❆❀❈

❅✕✌✡✞✒❅

✥❉✠☞✌✬✎

✚✲✼ ☛✻✑

✌✲❊❋✌✪☛✻✥

✷✪✚✢✸●✚

✥✮✞✏❍■✑✯❏✢✞✒❅❑✥

✦✧✜ ▲✪✾

✓ ❲✴✽ ✝ t ②✯qsrP❖ ✉ ❘ q✮❜❑◗ ✁❴❬✛②✯r q✮❜✲✷ ✉❙❜ ✱✯q✮◗❴❛sr✆✠ ☞✔◗✡✱✔❖✉❙❜✣② ✉❙❜✙❱ qsrP❬ ✉❙❜★✁❴❖❫◗ ✵①rP❖ ✉❙❜ ❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✰❬

✓ ❲⑥ ✝❁❜✣②✲☛☞✠❭✉✂✮☛✡❛②✔❜ ✉①✇❫❛✩❋✲✁ rP❖✟✱⑤✉❙❜✽② q❆❛sr✆✠✡✪♦q❆❘ ②❍✪♦②✯rP❬❁✠ t✈✉✂✮☛✡❛②✔❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✰❬ ❳

✓ ❲✓ ✝▲❛s②✯q✮❬✛② t rP❖✉✱② q❪❛sr✆✠✡✪♦q❆❘ ②❩t r ✉❙◗❴❜✒❱ qsrP❬ ✉✂✮☛✡❛②✔❜ ❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✰❋ ⑧

✓ ❲

✝ ❱ qsrP❬ ✉①✇❫❖③④⑤✉✂✮✰✯①q❊❘ q ✱✯q✮◗✡✱✯②✔❖t q❪❘ ②✕❛sr✆✠✡✪♦q ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✩✽✼✾

▼◆✘ ☛✍✌✏❅

✎✒✥

✸✬✚ ✞✡✠☞✌

✜❖✹✺✚❄❃ ☛✻✥✮❅✕✌✖❊

✸✬✚ ✠☞✌✏✎✯✌✡P

❃✪✷ ✥✮❅✕✌

✜ ✗✢❆✪❇

● ❲✴✽

◆❘◗❚❙☞❯❲❱❑❳

❘❭✉ ❖❫◗❆✳s②✔❜✆t✗❖❫❛⑨✉✂✮✰✯①q ❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔✓ ⑧

● ❲⑥ ✝▲❘❴❖❫❜✆✱✔❖✟✪ ✇❫❖❫◗❭✉✱② q✏②✔◗❴❜P❖❫◗ q❆❜ q✩✁ r ②✠q ☛☞✠❭✉①✇❡✉■✪♦②✔❜✆☛☞✠❴❖❫❜ ✉ ❱q✮❖ r ②⑤✉①✇❫❖③④⑤✉❙❘❭✉✿❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔✓✽❬

❲✓ ✝ ✉❙❬✛q✮❜✆t r ✉ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔✓✩✾

(14)

● ❲●

❜❑❖❫◗❴❜✆t r✆✠❴❬✛②✔◗⑨t q✮❜✙❘ ②✕❖❫◗❆✳s②✔❜✆t✗❖❫❛⑨✉✂✮✰✯①q ❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔✓✽❋

● ❲⑧ ◆ ❜ ✪ r q ✱✯②✔❘❴❖❫❬✛②✔◗⑨t q✮❜✙❘ ②✠✉❙◗ ✵①✇❫❖❫❜ ②▲❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✽✔❬ ⑥

❇ ✱ ✜✟✳ ✚ ❅ ✠☞✌ ✜ ✎✯✌ ✿ ✦✧✸✬✳ ✌ ✿ ✌✡✞✒❅ ✚ ✥❉✠✍✑ ✦ P✺✎ ✚✲✼ ☛✻✑ ✳ ✌ ✗✢▲✪❇

▲ ✫ ✜ ✠☞☛✻✑✏✠✍✑✯☛ ✦ ✓✕✔✖✌ ✚✰✱ ✞ ✁ P✮✥✜✟✚ ✎✯✌ ✜ ✎ ✦ ✎✯✌ ✜ ✗✢✽✪❇

✿ ✌✡✞ ✜ ✥✮✎ ✚ ☛ ✦ ✓✕❁ ✚✢✜✄✂ ✥✮✞ ✦ ✥✜ ✾✪❇✪❆

☎ ✥✶✩ P✮✥✶✌ ✷ ☛ ✦✝✆ ✦ ✾✪▲✪❆

✚✟✞

✜✡✠ ✾☞☛✧✾

✚✟✞

P✮✑

✦✧✸✬✦ ✎✯✌✌☎

❅✎✍

P

✎✯✌

✾☞☛✧✾

✚✟✞

P✮✑

✦✧✸✬✦

✦✑✏ ✥✮❅

✞✒❅❑✥

✠✍✑✯☛

✦ ✾☞☛✧✾

✱✴✳ ❏✢✞✒✎✒✥✮❅

✚✢✜✡✠ ✾☞☛ ▼

✝✟✞

✠☞☛✻✑

✸✬✚ ✞✡✠☞✌

✝✟✞☞✒

✚✢✜ ✠✍✥

✷✪✦ ✓✕✔✖✌

✾☞☛ ▼

✝❊❲✴✽ ✗❛②✲☛✔✓ ☞✔◗✡✱✔❖✉ ✽✦❘ ②✞✝✽t✗❖✴✳✯❖❫❘❭✉❙❘ ②✔❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲

⑥✽❳ ●

✝❊❲⑥ ✗❛②✲☛✔✓ ☞✔◗✡✱✔❖✉ ⑥ ❘ ②✞✝✽t✗❖✴✳✯❖❫❘❭✉❙❘ ②✔❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥✽❳ ❬

✝❊❲✓ ✗❛②✲☛✔✓ ☞✔◗✡✱✔❖✉✝✓❆❘ ②✞✝✽t✗❖✴✳✯❖❫❘❭✉❙❘ ②✔❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥✽❳✽❳

☎✖✕✴✌✧✠

✥✶☛✍✌

✜ ✾✘✗✚✙

❵❁❲✴✽ ✕ q①t ②✔❖③r q■✪❭✉①r ✉✏✉❙❜ ✎ ◗⑨t r ②❑✳✯❖❫❜✆t✈✉❙❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲

❵❁❲⑥

q①t ②✔❖③r q■✪❭✉①r ✉

❜✆t r✆✠ t✶✠ r ✉✂✮✰✯①q✛②✞✝❁◗ ✵①✇❫❖❫❜ ② ❘ q✮❜ ❳✕✉❙❘ q✮❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ⑥ ✾✽✓

✿◆✿ ✌✡✞✜✛✤✑✒✞✡✠☞✌✣✢✤✕ ✚ P✦ ✓✕✔✖✌ ✚✥✂ ✑✒✞✒✓✕✔✖✌ ✾✘✗✪✽

(15)

❳❊❲⑥ ✝ ②✔❜✆t r✆✠ t✶✠ r ✉❆❘ ②✕❛sr✆✠✡✪♦q ❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓ ⑦s⑦

❳❊❲⑥ ❲✴✽ ◆ ❜❑❛sr✆✠✡✪♦q✮❜✙◗☞✠❴❬✻❋✯rP❖✟✱✯q✮❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓ ⑦ ✽

❳❊❲

◆ ❜❑❛sr✆✠✡✪♦q✮❜✙❘ ②❍✪♦②✯rP❬❁✠ t✈✉✂✮☛✡❛②✔❜ ❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓

⑦⑨⑥

❳❊❲⑥ ❲✓

❜❑❛sr✆✠✡✪♦q✮❜✙❘ ② t r ✉❙◗❴❜✒❱qsrP❬ ✉✂✮☛✡❛②✔❜ ❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓ ⑦ ✾

❳❊❲⑥ ❲● ◆ ❜❑❛sr✆✠✡✪♦q✮❜✙❘❴❖③②✔❘ r ✉❙❖❫❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓✸✽ ⑧

❳❊❲

◆ ❛sr✆✠✡✪♦q❆❘ q✮❜ ☞✥✠❭✉ t✶❋✯rP◗❴❖③q✮❜ ❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓✸✽✔❬

❳❊❲⑥ ❲❬

❜❑❛sr✆✠✡✪♦q✮❜✙❘ q✮❜❑❖❫◗⑨t ②✔❖③r q✮❜✙❬✻✫✯❘✡✠ ✇③q✁ ❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✦❲✕❲✦❲✦❲✦❲✦❲✦❲ ✓✸✽✼✾

(16)

✝ ❬❪❖❫◗✡●❭✉ ◗ ②✲✱✯②✔❜P❜P❖❫❘❭✉❙❘ ② ❘ ②✧❱ ✉①④✯②✯r ②✔❜✆t✶✠❴❘ q✮❜ ◗❭✉ ✵①r ②⑤✉✿❘ ②

❘✡✠✡✱⑤✉✂✮✰✯①q ✄✑✉ t ②✔❬❇✵ t✗❖✟✱⑤✉ ❜✆✠ rP❛✮❖✟✠✫✉

✪❭✉①r✆t✗❖③r❁❘ ② ❬❪❖❫◗✡●❭✉❇✪ r✆✫✩✪ rP❖✉ ②

✪♦②✯rP❖☞✔◗✡✱✔❖ ✉☛②✔❬ ❜ ✉①✇✉ ❘ ② ✉✂✠ ✇ ✉❇✱✯q✮❬✛q ✪ r q❙❱②✔❜P❜ qsr ✉ ❲

❜✆t✈✉✂②

✪♦②✯rP❖☞✔◗✡✱✔❖ ✉✸✷

❘ ② ✱✯②✯r✆t✈✉✧❱qsrP❬ ✉✸✷✞❬✛q✮❜✆t r ✉✒q ❬✛②✲✠✹❖❫◗⑨t ②✯r ②✔❜P❜ ② ✪♦②✯✇✉❫t ②✔❬❇✵ t✗❖✟✱⑤✉✑✉✂☛☞✠❴❖✭❘ ②✔❜ ②✔◗❆✳sqs✇✴✳✯❖❫❘❭✉✞② q✮❜❁✱⑤✉❙❬❪❖❫◗✡● q✮❜

☛☞✠ ② ❖❫◗✟✞ ✠ ②✔◗✡✱✔❖✉①r ✉❙❬ ◗❭✉❪❘ ②✜✛❉◗❴❖✟✮✰✯①q ❘❭✉✻✪♦②✔❜✆☛☞✠❴❖❫❜ ✉ ❲ ✻◗❴❖✟✱✔❖③q❆❱ ✉①④✯②✔◗❴❘ q❇✠❴❬ ✁ r ②❑✳s②✥r ②✯✇✉ t q❪❘ ②✥✉①✇❫❛✩✠❴◗❴❜❑❘ ②

❜ ②✲✠❴❜ ✉❙❜✆✪♦②✲✱ t q✮❜✔❲

❬ ❬ ✉①r✆✮✯q✙❘ ② ✽✔❋ ❳✽❳ ❖❫◗❴❖✟✱✔❖③②✔❖ q ✱✲✠ rP❜ q ❘ ② ✤✣❖✟✱✯②✔◗✡✱✔❖✉ t✶✠ r ✉✽②✔❬ ✄✑✉ t ②✔❬❇✵ t✗❖✟✱⑤✉ ❲✶❳❉✠ r ✉❙◗⑨t ②❲t q✯❘❭✉✙❬❪❖❫◗✡●❭✉

✳✯❖❫❘❭✉❘✉✂✱⑤✉❙❘ ☞✔❬❪❖✟✱⑤✉☞❱✠❴❖✛❜✆✠✡✁❴❬✛② t✗❖❫❘❭✉✣✉ ✠❴❬ ②✔◗❴❜P❖❫◗ q✜✱✯②✔◗⑨t r ✉❙❘ q ❱qsr✆t ②✔❬✛②✔◗⑨t ②❩◗ q✜✱✯q✮◗⑨t ② ✁❴❘ q✕②❩◗ q✜✪ r q❙❱②✔❜P❜ qsr✔❲

✝ t r ✉❙◗❴❜P❬❪❖❫❜P❜✶✯①q ❘ q✮❜✙✱✯q✮◗⑨t ② ✁❴❘ q✮❜✕❘❭✉✰✳①✉ ✬✻❜ ②❁☛☞✠❭✉❙❜ ②❆❜ ②✔❬✻✪ r ②❁✪♦qsr ❬✛②✔❖③q ❘ ②✏✉✂✠ ✇ ✉❙❜ ② ✿ ✪♦q✮❜P❖t✗❖✴✳①✉❙❜✜✬ ✱✯q✮❬

✉❙❜ ❘ ②✜✛❉◗❴❖✟✮☛✡❛②✔❜ ❬ ✉ t ②✔❬❇✵ t✗❖✟✱⑤✉❙❜■✪ r q✮◗⑨t✈✉❙❜ ②✞✉✂✱⑤✉✂✁❭✉❙❘❭✉❙❜✲✷★✱✯q✮❬✚q ②✔❜✆t✶✠❴❘ q✹❘ q ✱✯q✮◗✡✱✯②✔❖t q ❱ ②✔❖t q ✉ t r ✉✰✳✩❋✔❜

❘❭✉ ❜✆✠❭✉ ❘ ②✜✛❉◗❴❖✟✮✰✯①q ② ❜✆✠❭✉ ✉✂✪ ✇❫❖✟✱⑤✉✂✮✰✯①q ❘❴❖③r ② t✈✉✸✷ ✱✯q✮❬◆q ✠❴❜ q ❘ ② ❱✫srP❬❁✠ ✇✉❙❜✥②✒✉①✇❫❛sqsrP❖t✗❬✛q✮❜✲✷ ✉ ✿ ❖③q✮❬ ✉❙❜✲✷

❘ ②✔❬✛q✮◗❴❜✆t r ✉✂✮☛✡❛②✔❜ ❘ ②❍✪ r q✩✪♦q✮❜P❖✟✮☛✡❛②✔❜✲✷ ✇③②✔❬ ✉❙❜✲✷ t ②✯qsr ②✔❬ ✉❙❜✣②❍✱✯qsr qs✇✵①rP❖③q✮❜✲✷ r ②✔❜ qs✇✟✠✡✮✰✯①q❪❘ ② ② ✿ ②✯r✆✱✔❭✟✱✔❖③q✮❜❘②✡✠ q✩✠

❘ ②❁✪ r q✩✁ ✇③②✔❬ ✉❙❜✭✬✒✪❭✉❙❘ r✶✯①q☞☛✗❲ ◆ ✪ r q❙❱②✔❜P❜ qsr ❱ ✉①④✔❖✉✛②❊◗✡✫✮❜✕✉①✇✟✠❴◗ q✮❜❘r ②✲✪ r q✯❘✡✠ ④✔❭✉❙❬✛q✮❜✲✷♦✉①✇✟❋✔❬ ❘❴❖❫❜P❜ q✡✷✩◗ ✯①q ❜ ②

❱✉①✇✉✰✳①✉❪❜ q✩✁ r ② ✉❪❬ ✉ t ②✔❬❇✵ t✗❖✟✱⑤✉✸✷❉❱ ✉①✇✉✰✳①✉ ✬✻❜ ②✦❘ ②❊❬ ✉ t ②✔❬❇✵ t✗❖✟✱⑤✉ ❲

✠ ❜ ② ✙ ✉✸✷✩◗ ✯①q ②✯r ✉ ❘❴❖❫❜✆✱✲✠ t✗❖❫❘❭✉☛✉❆❱qsrP❬ ✉

✱✯q✮❬✛q❁❜ ②✣✱✯q✮◗❴❜✆t✗❖t✶✠❴❖ ②✢❜ ② qsrP❛⑨✉❙◗❴❖③④⑤✉✣q❉✱✯q✮◗✡● ②✲✱✔❖❫❬✛②✔◗⑨t q❁❬ ✉ t ②✔❬❇✵ t✗❖✟✱✯q✡✷ q✮❜✞❬✻❋ t q✯❘ q✮❜ ✠ t✗❖③✇❫❖③④⑤✉❙❘ q✮❜✲✷❯q❉✪❭✉✂✪♦②✯✇

❘❭✉❙❜✦❘ ②✔❬✛q✮◗❴❜✆t r ✉✂✮☛✡❛②✔❜✲✷✡❘ q✮❜ ②

②✔❬✻✪ ✇③q✮❜✲✷✶❘ q✮❜✞✱✯q✮◗⑨t r ✉ ✬ ②

②✔❬✻✪ ✇③q✮❜ ② t✶✱❙❲✴✷☎●❭✉✰✳✯❖✉✸✷ ✉✂✪♦②✔◗❭✉❙❜✲✷ q❫②✔❜✆t✶✠❴❘ q✧❘ q

✱✯q✮◗⑨t ② ✁❴❘ q✏②✔❬ ❜P❖ ❲ ✎ ✠✺✷ ◗ q■✪❭✉✂✪♦②✯✇✩❘ ②❩✉①✇✟✠❴◗❭✉✸✷ ✱✯q✩✪❴❖✉✰✳①✉ t✶✠❴❘ q■☛☞✠ ②❩q❁✪ r q❙❱②✔❜P❜ qsr✏✱✯qs✇③q ✱⑤✉✰✳①✉❊◗ q❁☛☞✠❭✉❙❘ r q ✬

◗ ②✔❛sr q✡✷✢✉ t ②✔◗⑨t✈✉❙❬✛②✔◗⑨t ②✠②✂✷✂❬❁✠❴❖t✈✉❙❜★✳s②✯④✯②✔❜✲✷ ✉ t✶❋✠q❇☛☞✠ ②✠②✯✇③②✕❱ ✉①✇✉✰✳①✉✸✷❉❘ ②✲✪♦q✮❖❫❜✣②✔❜✆t✶✠❴❘❭✉✰✳①✉✛t q✯❘❭✉✛✉❪❬ ✉ t✶❋✯rP❖✉

❘ q❈✱⑤✉❙❘ ②✯rP◗ q✡✷ ❬✛②✯rP❛✩✠ ✇✟●❭✉✰✳①✉ ◗❭✉❙❜✣✪ ✵❙❛✮❖❫◗❭✉❙❜❩❘ q✮❜ ✇❫❖✴✳❛r q✮❜ ✱✯qsr r ②✔❜✆✪♦q✮◗❴❘ ②✔◗⑨t ②✔❜ ✉①q❈✱✯q✮◗⑨t ② ✁❴❘ q❈✳✯❖❫❜✆t q✠②✔❬ ❜ ✉①✇✉

❘ ②✱✉✂✠ ✇✉✥② r ②✔❜ qs✇✴✳✯❖ ✉✥q❆❬ ✉❙❖③qsr☞◗ ✁❴❬✛②✯r q❆❘ ② ② ✿ ②✯r✆✱✔❭✟✱✔❖③q✮❜ ✪♦q✮❜P❜P❭✴✳s②✔❖❫❜✔❲

✌ q✮❬✛②✲✱✯②✔❖ ✉✥✇③②✲✱✔❖③q✮◗❭✉①r✭❬ ✉ t ②✔❬❇✵ t✗❖✟✱⑤✉✠②✔❬ ✉❙❛sq✮❜✆t q ❘ ②■✽✔❋

❳✽❳

❲ ❯☞✉①r ✉ ❬❪❖❫❬✚✷✛◗❭✉❁❋✲✪♦q ✱⑤✉✸✷✡✱✯q✮❬✛q ✉①✇✟✠❴◗❭✉

✌✎✍✑✏✓✒✕✔✗✖✎✘✚✙✜✛✣✢✥✤✧✦★✏✩✘✫✪✭✬✕✮✥✪✭✔✗✯✱✰✗✲✚✬✫✳✡✔✵✴✶✦★✔✷✬✶✸✹✯★✖✺✬✕✻★✙✔✗✏✩✘✕✸✹✸✺✲✚✬✧✏✩✘✚✼✽✸✾✳✡✼✿❁❀✽✪✭✔✗✼✽✸❂✴✶✦★✔✷✬✶✸✹✔✭❃✡✔✗✖✎✪✭❀✽✪✭✼✬✶✸✗❄❂❅✾✸✹✔✭❃✡✔✗✖✎✪✭❀✽✪✭✼✬✶✸

✴✶✦✥✘✕✸❆✔❇✸❆✔✗✏❇✯★✖✺✔✵✳✡✔❈✸❊❉✺✼✮✥✘✚✏✵❋●✸❆✔✵✘✧❍★❃★✘✕✰✗✲✚✬■✳✡✔❇✪✭✬✕✮✶❉✺✔✗❏✥✳✡✬✶✸✹✔❇✳✡✔❈✸❆✔✗✮▲❑✕✬✕✙❑▲✼✏❇✔✗✮✶❉✺✬✫✳✡✔✵✢✥✘✚✻★✼✙✼✽✳★✘✕✳✡✔❈✸✗✛▼✸✺✲✚✬✫✖✺✔❈✸❆✬✕✙❑▲✼✽✳✡✬✶✸✹✪✭✬✕✏

✘✚✯★✙✼✽✪✗✘✕✰✗✲✚✬◆✳✡✼✖✺✔✭❉✎✘P❖❁✬✕✦P✴✶✦✥✘✕✸❆✔◗✳✡✼✖✺✔✭❉✎✘✶❘✵✳✡✔❙✳✡✔✭❍✥✮★✼✽✰✭❚▲✔❈✸✗✛❯✯★✖✺✬✕✯★✖✺✼✔❈✳★✘✕✳✡✔❈✸✗✛❯✘✚✙✒✕✬✕✖✺✼❉✺✏❇✬✶✸✵✔✭❉✎✪✚❄✛❱✬✶✸❇✯★✖✺✬✕✻★✙✔✗✏✩✘✕✸✷❉✺❲✗✏❳✦★✏

(17)

❘ ②❆❛sr ✉❙❘✡✠❭✉✂✮✰✯①q✂② ✪ r q❙❱②✔❜P❜ qsr ✉ ❘ ②✁✄✂✜✢✆☎✝✂✱②✁✞✄✂ ❜✆❋✯rP❖③②✔❜ ❘ q

◗❴❜P❖❫◗ q✒♣ ✠❴◗❴❘❭✉❙❬✛②✔◗⑨t✈✉①✇ ✷✺✱✯q✮◗❴❜P❖❫❘ ②✯r ✉✰✳①✉ ☛☞✠ ②

✪❭✉①r ✉ ❜ ②✯r✞✠❴❬ ✁♦q✮❬ ✪ r q❙❱②✔❜P❜ qsr ②✯r ✉ ❜✆✠ ✛ ✱✔❖③②✔◗⑨t ②❆❜ ✉✂✁♦②✯r q ✱✯q✮◗⑨t ② ✁❴❘ q✑②✔❜✆✪♦②✲✱✔❭✛ ✱✯q ❘❭✉ ❘❴❖❫❜✆✱✔❖✟✪ ✇❫❖❫◗❭✉✛②❆❜ ②✯r

✠❴❬ ✁♦q✮❬✐② ✿ ✪♦q✮❜P❖t qsr✔❲✙❯ qsr ❖❫❜P❜ q✡✷ ②✔❬ ❜ ✉①✇✉❆❘ ②✱✉✂✠ ✇✉✸✷ ✉❙❘ q①t ②✔❖ ✉❆❬✛②✔❜P❬ ✉ ✪ r✶✵ t✗❖✟✱⑤✉ ✪♦②✔❘❭✉❙❛✩✫✮❛✮❖✟✱⑤✉✠✟ ☛☞✠❭✉①✇

t✗❖❫◗✡●❭✉ ❜P❖❫❘ q ❜✆✠✡✁❴❬✛② t✗❖❫❘❭✉✸✷ ②✏✉✂✱❄●❭✉✰✳①✉ ❜ ②✯r ✉ ✁❴◗❴❖✟✱⑤✉ ❱ qsrP❬ ✉ ❘ ② ②✔◗❴❜P❖❫◗❭✉①r ❬ ✉ t ②✔❬❇✵ t✗❖✟✱⑤✉ ❲✕❯ qsr✙✠❴❬ ✇✉❙❘ q✡✷

◗ q✠② ✿ ②✯r✆✱✔❭✟✱✔❖③q✕❘❭✉ ❘ q ✱☛☞✔◗✡✱✔❖✉✸✷❆✪ r ②✲✪❭✉①r ✉✰✳①✉✞✁♦②✔❬ q✞✱✯q✮◗⑨t ② ✁❴❘ q❍☛☞✠ ② ❘ ②❑✳s②✯rP❖✉✕❜ ②✯r❩❘ ②✔❜ ②✔◗❆✳sqs✇✴✳✯❖❫❘ q✠②✔❬✍✱⑤✉❙❘❭✉

✉✂✠ ✇✉✸✷ ✪ r q ✱✲✠ r ✉✰✳①✉✦❱ ✉①④✯②✯r✣✠❴❬ ✉❈✁♦q⑨✉✠② ✿ ✪♦q✮❜P❖✟✮✰✯①q✡✷✯❱✉①④✔❖ ✉ t q✯❘ q✱q✥②✔❜✒❱qsr✆✮✯q❁✪♦q✮❜P❜P❭✴✳s②✯✇ ✪❭✉①r ✉❈☛☞✠ ②✕q✮❜ ✉①✇✟✠❴◗ q✮❜

②✔◗⑨t ②✔◗❴❘ ②✔❜P❜ ②✔❬◆q✚✱✯q✮◗⑨t ② ✁❴❘ q ☛☞✠ ② ②✲✠ ✇✟● ②✔❜✠②✔❜✆t✈✉✰✳①✉❫t r ✉❙◗❴❜P❬❪❖t✗❖❫◗❴❘ q✡✷✶❖❫◗✡✱✯②✔◗⑨t✗❖✴✳①✉✰✳①✉ ✬ q✮❜✠✉✚✱✯rP❖✉①r✞● ✵✂✁❴❖ t q✮❜

❘ ②❫②✔❜✆t✶✠❴❘ q✡✷❊✱✯q✮❬✛q✞t✈✉❙❬❁✁✘❋✔❬ ✪ r q ✱✲✠ r ✉✰✳①✉ ✱✲✠❴❬✻✪ rP❖③r✠t q✯❘ q q ✪ r q✮❛sr ✉❙❬ ✉ ❲ ❯ qsr q✩✠ t r q ✇✉❙❘ q✡✷❲②✔❜✆t✈✉✰✳①✉

✱✯q✮◗❆✳s②✔◗✡✱✔❖❫❘❭✉ ❘ ②❈☛☞✠ ②❊❜ ②✱q☛✉①✇✟✠❴◗ q❪◗ ✯①q☛✉✂✪ r ②✔◗❴❘ ②✔❜P❜ ②✂✷ q✻✪ r q✩✁ ✇③②✔❬ ✉✏②✯r ✉❪❘ ②✯✇③②✝✡✘✪ r q✼✳①✉✰✳s②✯✇❫❬✛②✔◗⑨t ②✂✷♦t✗❖❫◗✡●❭✉

✪♦q✩✠✡✱⑤✉✻●❭✉✂✁❴❖③✇❫❖❫❘❭✉❙❘ ②✥✪❭✉①r ✉✛✉❆❬ ✉ t ②✔❬❇✵ t✗❖✟✱⑤✉✥q✩✠✒②✔❜✆t✶✠❴❘❭✉✰✳①✉✻✪♦q✩✠✡✱✯q❴❲✣✝ ✇✟❋✔❬ ❘❴❖❫❜P❜ q✡✷ ✪ r ②✔❜P❜✆✠✡✪✡✠❴◗✡●❭✉❇☛☞✠ ②✱✉

❬ ✉ t ②✔❬❇✵ t✗❖✟✱⑤✉✣②✯r ✉❁❘❴❖●❱❭✟✱✔❖③✇✩✪♦qsr✡❜ ②✯r▼✠❴❬ ✉✜✱✔❖☞✔◗✡✱✔❖ ✉❘② ✿ ✉ t✈✉ ② qsrP❛⑨✉❙◗❴❖③④⑤✉❙❘❭✉❘✇③q✮❛✮❖✟✱⑤✉❙❬✛②✔◗⑨t ②✂✷❯②✂✷✩☛☞✠ ②✂✷✮❜ q✮❬✛②✔◗⑨t ②

q✮❜ ❖❫◗⑨t ②✯✇❫❖❫❛s②✔◗⑨t ②✔❜✂✁✜✱✯q✮◗❴❜ ②✔❛✩✠❴❖✉❙❬ ✉✂✪ r ②✔◗❴❘ ☞ ✬ ✇✉ ❲ ❝❉✯①q❁✪❭✉①r ✉✰✳①✉❈✪❭✉①r ✉✱qs✇✟●❭✉①r ✉✥qsrP❖❫❛s②✔❬ ❘❭✉❙❜☞❘❴❖✛ ✱✲✠ ✇❫❘❭✉❙❘ ②✔❜

❘ q✮❜ ✉①✇✟✠❴◗ q✮❜❈☛☞✠ ② ◗ ✯①q ✱✯q✮◗❴❜ ②✔❛✩✠❴❖ ✉❙❬ ✉✂✱✯q✮❬✻✪❭✉❙◗✡●❭✉①r✱q ✱✲✠ rP❜ q ② ❜ ② ❜ ✉❙❭✉❙❬ ❬ ✉①✇❩◗❭✉❙❜❁✪ r q✼✳①✉❙❜✔❲ ❨❘q ✙ ②✂✷

②✲✠ ✪♦②✯r✆✱✯②✲✁♦q ☛☞✠ ②✥②✔❜✆t✈✉❙❜ ❬❪❖❫◗✡●❭✉❙❜ ✱✯r ②✔◗✡✮⑤✉❙❜ ◗ ✯①q ❱qsr ✉❙❬ ❜ ②❊❱ qsrP❬ ✉❙◗❴❘ q ❘ q ◗❭✉❙❘❭✉✸✷✂❘ ② ❬❪❖❫◗✡●❭✉ ✪ r✆✫✩✪ rP❖✉

❬✛②✔◗⑨t ②❙❲

✇ ✉❙❜✲✷✣❘ ② ✱✯②✯r✆t✈✉ ❱qsrP❬ ✉✸✷ ②✔❜✆t✈✉✰✳①✉❙❬ ❖❫❬✻✪ ✇❫❭✟✱✔❖t✈✉❙❜ ◗❭✉❙❜✙✪ r✶✵ t✗❖✟✱⑤✉❙❜ ❘ ②✛✉①✇❫❛✩✠❴◗❴❜✙✪ r q❙❱②✔❜P❜ qsr ②✔❜❍✱✯q✮❬

q✮❜ ☛☞✠❭✉❙❖❫❜✣②✔❜✆t✶✠❴❘ ②✔❖❲

✎ ❬ ❘ ②✯④✯②✔❬❁✁ r q❆❘ ②■✽✔❋ ❳ ❋✸✷✸✱✯q✮◗✡✱✯✇✟✠❴❖ ✉■✤✣❖✟✱✯②✔◗✡✱✔❖ ✉ t✶✠ r ✉✱②❩②✔❬ ❬ ✉①r✆✮✯q ❘ ②■✽✔❋✩✾ ⑦ ✱✯q✮❬✛②✲✱✯②✔❖ ✉✥✇③②✲✱✔❖③q✮◗❭✉①r

②✔❬ ✖ ◗❴❖✴✳s②✯rP❜P❖❫❘❭✉❙❘ ②❍✱✯q✮❬✔✉❙❜ ❬✛②✔❜P❬ ✉❙❜ ✱✯r ②✔◗✡✮⑤✉❙❜✕②✱✉❙❘ q①t✈✉❙◗❴❘ q☛✉❆❬✛②✔❜P❬ ✉ ✪ r✶✵ t✗❖✟✱⑤✉ ✙✶✵✛r ② ❱②✯rP❖❫❘❭✉ ❲✏✝❉✪ r ② ✬

❜ ②✔◗⑨t✈✉✰✳①✉ ✉❙❖❫◗❴❘❭✉ ✠❴❬◆✉❙❛sr ✉✰✳①✉❙◗⑨t ②✂✷❊✪♦q✮❖❫❜✲✷ ◗❭✉ ✖ ◗❴❖✴✳s②✯rP❜P❖❫❘❭✉❙❘ ②✂✷ ②✲✠ ◗ ✯①q ✉❙❘❴❬❪❖t✗❖✉✚☛☞✠ ②❫q✮❜✏✉①✇✟✠❴◗ q✮❜ ◗ ✯①q

❜ q✩✠✡✁♦②✔❜P❜ ②✔❬ q✮❜☎✱✯q✮◗⑨t ② ✁❴❘ q✮❜❀☛☞✠ ② t✗❖❫◗✡●❭✉❙❬ ❜P❖❫❘ q❘②

❖❫❛✮❖❫❘ q✮❜✶◗ q ✳s②✔❜✆t✗❖✟✁✡✠ ✇✉①r✲✷ ✙✶✵ ☛☞✠ ② t✗❖❫◗✡●❭✉❙❬ ❜P❖❫❘ q ✉✂✪ r q✼✳①✉ ✬

❘ q✮❜✲✷ ② t✈✉❙❬❁✁✘❋✔❬ ✪♦qsr✆☛☞✠ ②✕②✯r ✉❙❬ ✪ r✆❋ ✬ r ②✲☛☞✠❴❖❫❜P❖t q✮❜❊✪❭✉①r ✉✥✉❙❜✭❘❴❖❫❜✆✱✔❖✟✪ ✇❫❖❫◗❭✉❙❜ ✉✦❜ ②✯r ②✔❬❝②✔❜✆t✶✠❴❘❭✉❙❘❭✉❙❜

✵①✇✟✱✲✠ ✇③q

②■✧ ✇❫❛s②✲✁ r ✉❆❃ ✷✺✱✯q✮◗❴❜ ②✲☛✔✓ ②✔◗⑨t ②✔❬✛②✔◗⑨t ②✂✷☞✉❙❜ ❬❪❖❫◗✡●❭✉❙❜ ② ✿ ❖❫❛✑☞✔◗✡✱✔❖✉❙❜✙✱✯q✮❬✔②✯✇③②✔❜❩②✯r ✉❙❬ ❬ ✉❙❖③qsr ②✔❜❁❘ q ☛☞✠ ② ✱✯q✮❬

q✮❜❘✉①✇✟✠❴◗ q✮❜✙❘ q ✎ ◗❴❜P❖❫◗ q✛♣ ✠❴◗❴❘❭✉❙❬✛②✔◗⑨t✈✉①✇ ❲

✄✚✠❴❖t q☛t ②✔❬✻✪♦q ❱ q✮❖✞◗ ②✲✱✯②✔❜P❜✶✵①rP❖③q✚✪❭✉①r ✉✂②✲✠ r ②✲✱✯q✮◗✡● ②✲✱✯②✯r❍☛☞✠ ②✏②✔❜✆t✈✉✰✳①✉ ✱✯q✮❬✻✪ ✇③② t✈✉❙❬✛②✔◗⑨t ②✥②✔◗❴❛⑨✉❙◗❭✉❙❘❭✉

☛☞✠❭✉❙◗⑨t q✱✉①q✮❜ ❬✛②✲✠❴❜✦✪ r ②✔❜P❜✆✠✡✪♦q✮❜✆t q✮❜ ②★✱✯r ②✔◗✡✮⑤✉❙❜✲✷ ☛☞✠❭✉❙◗⑨t q☛✟❁❱qsrP❬ ✉ ❘ ② ②✔◗❴❜P❖❫◗❭✉①r❲②✣✉①q ◗❴❭✴✳s②✯✇❴❘ ②✣②

❖❫❛✑☞✔◗✡✱✔❖ ✉

✪♦qsr ❬❪❖❫❬ ✉❙❘ q①t✈✉❙❘ q❴❲ ❳ ②✲✪♦q✮❖❫❜ ❘ ②✔❜P❜ ✉ ✪♦②✯r✆✱✯②✲✪✘✮✰✯①q✡✷✩❱ r ②✲☛✔✓ ②✔◗⑨t ②✔❬✛②✔◗⑨t ② ②✔◗✡✱✯q✮◗⑨t r q ◗❭✉ ✇❫❖t ②✯r ✉ t✶✠ r ✉ ✉①rP❛✩✠ ✬

❬✛②✔◗⑨t q✮❜✞☛☞✠ ②✏②❑✳✯❖❫❘ ②✔◗✡✱✔❖✉❙❬ q✮❜ ❬✛②✲✠❴❜ ②✲☛☞✠❴❭✴✳sq ✱✯q✮❜✲✷ ✠❴❬ ❘ ②✯✇③②✔❜✙❋ ✁♦②✔❬ ②❑✳✯❖❫❘ ②✔◗✡✱✔❖ ✉❙❘ q ✪♦qsr✥✑☞✉①✇③✇

✽✔❋✽❋✸✽✩✷

✪ ❲

❃✲❚

❄❄❄ ✘✕✸✺✸❆✼✏ ✛ ✦★✏ ✏✩✘❨❉✺✔✗✏✩✤❨❉✺✼✽✪✭✬❙✔✭❃✡✯✣✔✗✖✺✼✔✗✮✶❉✺✔✫✯✣✬✡✳✡✔■✪✭✬✕✮✥✸❆✼✽✳✡✔✗✖✎✘✚✖❬❏✡❉✺✼✙❩✘✚✯★✖✺✔❈✸❆✔✗✮✶❉✎✘✚✖❬✘❙✏✩✘❨❉✺❭✗✖✺✼✽✘◗✯✥✘✚✖✎✘◗✬✶✸

Referências

Documentos relacionados

(grifos nossos). b) Em observância ao princípio da impessoalidade, a Administração não pode atuar com vistas a prejudicar ou beneficiar pessoas determinadas, vez que é

Na elaboração das demonstrações financeiras, a Empresa adotou as mudanças nas práticas contábeis adotadas no Brasil introduzidas pelos pronunciamentos técnicos emitidos pelo

No entanto, maiores lucros com publicidade e um crescimento no uso da plataforma em smartphones e tablets não serão suficientes para o mercado se a maior rede social do mundo

[r]

Diante da importância da prevalência das DAI e de suas consequências, é essencial e de extrema importância que os profissionais da saúde, em específico da atenção

Em análise realizada com dados de usuários atendidos por laboratório de análises clínicas público da cidade de Conde – PB durante o período de 2009 e 2010, contatou-se que 42,1%

O diagnóstico sorológico da hepatite B é feito com base na detecção sorológica de dois antígenos HBsAg (Antígeno de superfície do vírus da hepatite B) e HBeAg

Após analisar a evolução do uso e cobertura da terra na região estudada após a decadência da atividade cafeeira, objetivou-se examinar o reflexo do abandono do cultivo