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✷❘♦s❦✐❧❞❡ ❯♥✐✈❡rs✐t② ✭❉❡♥♠❛r❦✮ ✷■▼❉❊❆ ❙♦❢t✇❛r❡ ■♥st✐t✉t❡ ✭❙♣❛✐♥✮
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✶✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✷✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❁ ③ ✮ ✷
✸ ✹ ✇❤✐❧❡ ✭ ① ❃ ✵ ✫✫ ② ❃❂ ③ ✮ ✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✸✴✶✸
✳✳✳ ✳✳✳ ✳✳✳ ✳✳✳
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✹✴✶✸
✳✳✳ ✳✳✳ ✳✳✳ ✳✳✳ ❈❋❘
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✹✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t t❤❡♥✶
t❤❡♥✷
❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t t❤❡♥✶
t❤❡♥✷
❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t t❤❡♥✶
t❤❡♥✷
❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t t❤❡♥✶
t❤❡♥✷
❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t t❤❡♥✶
t❤❡♥✷
❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✺✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✻✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✵ ✴✴
✶ ✇❤✐❧❡ ✭ ① ❃ ✵✮ ✷
✸
✹
✺
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣ ❬ ❪ ❧♦♦♣
✸✱ ✹✱ ✼✱ ✽
❧♦♦♣
✶✱ ✷✱ ✹
❧♦♦♣
✸✱ ✹✱ ✼✱ ✽
❧♦♦♣
✶✱ ✷✱ ✹✱ ✽
❧♦♦♣
✶✱ ✷✱ ✹
❧♦♦♣
✶✱ ✷✱ ✹✱ ✽ ❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣ ❬ ❪ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣
✸✱ ✹✱ ✼✱ ✽
❧♦♦♣
✶✱ ✷✱ ✹✱ ✽
❧♦♦♣
✶✱ ✷✱ ✹
❧♦♦♣
✶✱ ✷✱ ✹✱ ✽ ❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣ ❬ ❪ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹✱φ✽ ❧♦♦♣
✶✱ ✷✱ ✹
❧♦♦♣
✶✱ ✷✱ ✹✱ ✽ ❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣ ❬ ❪ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣
✶✱ ✷✱ ✹✱ ✽ ❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣ ❬ ❪ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣
✸✱ ✹✱ ✼✱ ✽
❧♦♦♣ φ✶✱φ✷✱φ✹✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣
✶✱ ✷✱ ✹✱ ✽ ❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣ ❬ ❪ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣
✸✱ ✹✱ ✼✱ ✽
❧♦♦♣ φ✶✱φ✷✱φ✹✱φ✽ ❧♦♦♣
✶✱ ✷✱ ✹
❧♦♦♣
✶✱ ✷✱ ✹✱ ✽ ❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣ ❬ ❪ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣
✸✱ ✹✱ ✼✱ ✽
❧♦♦♣ φ✶✱φ✷✱φ✹✱φ✽ ❧♦♦♣
✶✱ ✷✱ ✹
❧♦♦♣ φ✶✱φ✷✱φ✹✱φ✽
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✐♥✐t ❧♦♦♣ x > ✵ && y < z y′ = y + ✶ x > ✵ && y ≥ z x′ = x − ✶
✐♥✐t ❧♦♦♣ ❬ ❪ ❧♦♦♣ φ✸✱φ✹✱φ✼✱φ✽ ❧♦♦♣ φ✶✱φ✷✱φ✹ ❧♦♦♣
✸✱ ✹✱ ✼✱ ✽
❧♦♦♣ φ✶✱φ✷✱φ✹✱φ✽ ❧♦♦♣
✶✱ ✷✱ ✹
❧♦♦♣
✶✱ ✷✱ ✹✱ ✽ ❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✼✴✶✸
✵ ✴✴
✶ ♠❂✵❀ ✷ ✇❤✐❧❡ ✭ ❧ ❃ ✵✮ ④ ✸
✹
✺
✻
✼
✽
✾
✶✵
✶✶
✶✷
✶✸⑥ ✐♥✐t ❧♦♦♣ m′ = ✵ l > ✵; m == ✵ l′ = l − ✹; m′ = ✶ l > ✵; m == ✶ l′ = l + ✶; m′ = ✷ l > ✵; m == ✷ l′ = l + ✷; m′ = ✵ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✽✴✶✸
✵ ✴✴
✶ ♠❂✵❀ ✷ ✇❤✐❧❡ ✭ ❧ ❃ ✵✮ ④ ✸
✹
✺
✻
✼
✽
✾
✶✵
✶✶
✶✷
✶✸⑥ ✐♥✐t ❧♦♦♣ m′ = ✵ l > ✵; m == ✵ l′ = l − ✹; m′ = ✶ l > ✵; m == ✶ l′ = l + ✶; m′ = ✷ l > ✵; m == ✷ l′ = l + ✷; m′ = ✵ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✽✴✶✸
✵ ✴✴
✶ ♠❂✵❀ ✷ ✇❤✐❧❡ ✭ ❧ ❃ ✵✮ ④ ✸
✹
✺
✻
✼
✽
✾
✶✵
✶✶
✶✷
✶✸⑥ ✐♥✐t ❧♦♦♣ m′ = ✵ l > ✵; m == ✵ l′ = l − ✹; m′ = ✶ l > ✵; m == ✶ l′ = l + ✶; m′ = ✷ l > ✵; m == ✷ l′ = l + ✷; m′ = ✵ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✽✴✶✸
✵ ✴✴
✶ ♠❂✵❀ ✷ ✇❤✐❧❡ ✭ ❧ ❃ ✵✮ ④ ✸
✹
✺
✻
✼
✽
✾
✶✵
✶✶
✶✷
✶✸⑥ ✐♥✐t ❧♦♦♣ m′ = ✵ l > ✵; m == ✵ l′ = l − ✹; m′ = ✶ l > ✵; m == ✶ l′ = l + ✶; m′ = ✷ l > ✵; m == ✷ l′ = l + ✷; m′ = ✵ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✽✴✶✸
✵ ✴✴
✶ ♠❂✵❀ ✷ ✇❤✐❧❡ ✭ ❧ ❃ ✵✮ ④ ✸
✹
✺
✻
✼
✽
✾
✶✵
✶✶
✶✷
✶✸⑥ ✐♥✐t ❧♦♦♣ m′ = ✵ l > ✵; m == ✵ l′ = l − ✹; m′ = ✶ l > ✵; m == ✶ l′ = l + ✶; m′ = ✷ l > ✵; m == ✷ l′ = l + ✷; m′ = ✵ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✽✴✶✸
✵ ✴✴
✶ ♠❂✵❀ ✷ ✇❤✐❧❡ ✭ ❧ ❃ ✵✮ ④ ✸
✹
✺
✻
✼
✽
✾
✶✵
✶✶
✶✷
✶✸⑥ ✐♥✐t ❧♦♦♣ m′ = ✵ l > ✵; m == ✵ l′ = l − ✹; m′ = ✶ l > ✵; m == ✶ l′ = l + ✶; m′ = ✷ l > ✵; m == ✷ l′ = l + ✷; m′ = ✵ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✽✴✶✸
✵ ✴✴
✶ ♠❂✵❀ ✷ ✇❤✐❧❡ ✭ ❧ ❃ ✵✮ ④ ✸
✹
✺
✻
✼
✽
✾
✶✵
✶✶
✶✷
✶✸⑥ ✐♥✐t ❧♦♦♣ m′ = ✵ l > ✵; m == ✵ l′ = l − ✹; m′ = ✶ l > ✵; m == ✶ l′ = l + ✶; m′ = ✷ l > ✵; m == ✷ l′ = l + ✷; m′ = ✵ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✽✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
✵ ✴✴
✶ ❝ ❂ ✶❀ ✷ ✇❤✐❧❡ ✭ ❝ ❃ ✵✮
✸
✹
✺
✻
✼
✽
✾
✶✵ ⑥ ✐♥✐t ❧♦♦♣ c′ = ✶ c > ✵; x > ✶✵✵ x′ = x − ✶✵; c′ = c − ✶ c > ✵; x ≤ ✶✵✵ x′ = x + ✶✶; c′ = c + ✶ ✐♥✐t ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣ ❧♦♦♣
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✾✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✶✵✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✶✵✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✶✵✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✶✶✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✶✶✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✶✷✴✶✸
❏❡sús ❏✳ ❉♦♠é♥❡❝❤✱ ❯❈▼ ❈♦♥tr♦❧✲❋❧♦✇ ❘❡✜♥❡♠❡♥t ✈✐❛ P❛rt✐❛❧ ❊✈❛❧✉❛t✐♦♥ ❲❙❚✬✶✽ ✶✸✴✶✸