HAL Id: hal-00995240
https://hal.archives-ouvertes.fr/hal-00995240
Submitted on 23 May 2014
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A unified framework for structure identification
Bruno Zanuttini, Jean-Jacques Hébrard
To cite this version:
Bruno Zanuttini, Jean-Jacques Hébrard. A unified framework for structure identification. Information Processing Letters, Elsevier, 2002, 81 (6), pp.335-339. �hal-00995240�
✄✝✆✂✎✄☎✏✠✎✄☞✂
✑✒✓✔✕ ✖✗✔✓✘✘✙✔✙ ✗✔✚ ✛✜✗✔✢✛✗✣✤✓✜✥ ✦✜✧★✒✗✒✚
✩ ✪
✫✬✭✮✯✫✰✫✱✯ ✲✳
✴
✱
✵✶
✮✰✭✯✷✸✹✫✺ ✻ ✱✷✼✫✮✽✷✯
✪
✫ ✲✫ ✾✭✫✱✺ ✿ ❀❁❂❃❄ ✾✭✫✱ ✾✫✲✫ ❅ ✿✮✭✱❆✫
❇❈❉❊❋●❍❊
■❏ ❑▲▼❑▼◆❏ ❖ P❏◗❏▲❖❘ ❙▲❖❚❏❯▼▲❱ ❙▼▲ ◆❲▲❳❨❲❳▲❏ ❩❬❏◗❲❩❭❨❖❲❩▼◗❪❖◆ ❬❏❭◗❏❬ ❫❴ ❵❏❨❛❲❏▲
❖◗❬❜❏❖▲❘❝❞❲❩◆ ❫❖◆❏❬▼◗❲❛❏ ◗▼❲❩▼◗▼❙ ❑▲❩❚❏❩❚❑❘❩❨❖❲❏❪❖◗❬ ❛❖◗❬❘❏◆ ❡▼▲◗❪❫❩❢❳◗❨❲❩❣❏
❖◗❬ ❖❤◗❏❪ ❖◆ ❯❏❘❘ ❖◆ ❡▼▲◗✐▲❏◗❖❚❖❫❘❏ ❙▼▲❚❳❘❖◆❪ ❙▼▲ ❯❛❩❨❛❪ ❲▼ ▼❳▲ ❱◗▼❯❘❏❬P❏❪ ◗▼
❑▼❘❴◗▼❚❩❖❘ ❖❘P▼▲❩❲❛❚ ❛❖◆ ❫❏❏◗ ❑▲▼❑▼◆❏❬ ❫❏❙▼▲❏❝ ❥❛❩◆ ❙▲❖❚❏❯▼▲❱❪ ❖❘❲❛▼❳P❛ ❦❳❩❲❏
P❏◗❏▲❖❘❪P❩❣❏◆ P▼▼❬ ❨▼❚❑❘❏❧❩❲❴ ▲❏◆❳❘❲◆❪ ❖◗❬ ❩◗ ❑❖▲❲❩❨❳❘❖▲ ❯❏ P❏❲ ❙▼▲ ❡▼▲◗ ❙▼▲❚❳❘❖◆
❲❛❏◆❖❚❏▲❳◗◗❩◗P❲❩❚❏❖◗❬❫❏❲❲❏▲▼❳❲❑❳❲ ◆❩♠❏❲❛❖◗❲❛❏ ❖❘P▼▲❩❲❛❚◆❑▲❏❣❩▼❳◆❘❴❱◗▼❯◗❝
♥
✫♦ ♣
✶
✮✲✽q r
▼❚❫❩◗❖❲▼▲❩❖❘ ❑▲▼❫❘❏❚◆❝s❲▲❳❨❲❳▲❏ ❩❬❏◗❲❩❭❨❖❲❩▼◗❝❜▲❩❚❏ ❩❚❑❘❩❨❖❲❏❝
❡▼▲◗✐▲❏◗❖❚❖❫❘❏❝t❤◗❏❝
✉ ✈✇①②③④⑤⑥①⑦③✇
⑧⑨⑩ ❶❷❸❹❺⑩❻ ❸❼ ❽❾❷❿➀❾❿❷⑩ ➁➂⑩➃❾➁➄➀➅❾➁❸➃ ➁➃ ❷⑩❺➅❾➁❸➃➅❺ ➂➅❾➅ ➆➅❽ ❼❸❷❻➅❺➁➇⑩➂ ❹➈
➉⑩➀⑨❾⑩❷ ➅➃➂ ➊⑩➅❷❺ ➋➌➍➎➏⑩ ❼❸➀❿❽⑨⑩❷⑩ ❸➃ ❹➁➐➅❺❿⑩➂ ➑❹❸❸❺⑩➅➃➒➂➅❾➅➎⑧⑨⑩ ❶❷❸❹❺⑩❻
➀❸➃❽➁❽❾❽ ➁➃ ➄➃➂➁➃➓➔ ➁❼ ❸➃⑩ ⑩→➁❽❾❽➔ ➅ ❶❷❸❶❸❽➁❾➁❸➃➅❺ ❼❸❷❻❿❺➅ ➆➁❾⑨ ❶❷⑩➂⑩❾⑩❷❻➁➃⑩➂
❶❷❸❶⑩❷❾➁⑩❽ ➑⑩➎➓➎➔ ❹⑩➁➃➓ ➣❸❷➃➒➔ ➅➃➂ ➅➂❻➁❾❾➁➃➓ ➅ ➓➁➐⑩➃ ❽⑩❾ ❸❼ ❻❸➂⑩❺❽➎ ⑧⑨⑩ ❻➅➁➃
❻❸❾➁➐➅❾➁❸➃ ➀❸❻⑩❽ ❼❷❸❻ ↔❷❾➁➄➀➁➅❺ ↕➃❾⑩❺❺➁➓⑩➃➀⑩ ➙➁➃➂⑩⑩➂➔➅ ❾❷❿❾⑨ ➅❽❽➁➓➃❻⑩➃❾ ➀➅➃
❹⑩ ❽⑩⑩➃ ➅❽ ➅➃ ➛➜➝➞➟➠➡➢➤➛➥ ❸❼ ❾⑨⑩ ➆❸❷❺➂➔ ➅➃➂ ➅ ➐➅❷➁➅❹❺⑩ ➅❽ ➅ ➦➟➛➦➞➟➢➧➎ ⑧⑨❿❽
➄➃➂➁➃➓ ➅ ❼❸❷❻❿❺➅ ➅➂❻➁❾❾➁➃➓ ➓➁➐⑩➃ ❸❹❽⑩❷➐➅❾➁❸➃❽ ➅❽ ➁❾❽ ❻❸➂⑩❺❽ ➀➅➃ ❹⑩ ❽⑩⑩➃ ➅❽ ➅
➨➥➛➩➫➞ ➭➯➞ ➲➛➳➦➤➫➡➢➤➛➥ ❾➅❽➵➔ ➁➃❾❸ ➅ ❽❻➅❺❺⑩❷ ❷⑩❶❷⑩❽⑩➃❾➅❾➁❸➃➔ ❸❷ ❸➃⑩ ❾⑨➅❾ ➅❺❺❸➆❽
⑩➸➀➁⑩➃❾ ❷⑩➅❽❸➃➁➃➓➔ ❿❶➂➅❾➁➃➓➔ ⑩❾➀
➎
➏
⑩ ➆➁❺❺ ❾⑨⑩❷⑩❼❸❷⑩ ❼❸➀❿❽ ❸➃ ❾⑨⑩ ➁➂⑩➃❾➁➄➀➅❾➁❸➃ ❸❼ ➀❺➅❽❽⑩❽ ❸❼ ❼❸❷❻❿❺➅❽ ❾⑨➅❾ ❽➅❾➺
➁❽❼➈ ❾⑨⑩❽⑩ ❷⑩➻❿➁❷⑩❻⑩➃❾❽➔ ➅➃➂ ❶➅❷❾➁➀❿❺➅❷❺➈ ➀❺➅❽❽⑩❽ ❼❸❷ ➆⑨➁➀⑨ ❾⑨⑩ ❽➅❾➁❽➄➅❹➁❺➁❾➈
❶❷❸❹❺⑩❻ ➀➅➃ ❹⑩ ❽❸❺➐⑩➂ ➁➃ ❶❸❺➈➃❸❻➁➅❺ ❾➁❻⑩➎ ➼➅➐➐➅➂➁➅❽ ➅➃➂ ➽➁➂⑩❷➁ ➋➾➍ ❽⑨❸➆
➚
✰✭✷➪ ✭✲✲✮✫✽✽q ➶➹➘➴➷➬➬➮➱
✃❐❒❮
➘
❮❰ÏÐ
➮➴ÑÒÓ➷➴➮Ô➘
❐
➴ÓÑ
❮
ÕÖ▲❳◗▼
×❖◗❳❲❲❩◗❩ ❖◗❬ Ø❏❖◗✐Ø❖❨❦❳❏◆ ❡❏Ù❫▲❖▲❬Ú❝
➋✁
➍
⑩→❾⑩➃➂❽ ➁➃ ❽❸❻⑩ ❽⑩➃❽⑩ ❾❸ ❾⑨⑩ ➁➂⑩➃❾➁➄➀➅❾➁❸➃ ❶❷❸❹❺⑩❻ ✂ ➂⑩➀➁➂➁➃➓ ➆⑨⑩❾⑨⑩❷
➓➁➐⑩➃ ❸❹❽⑩❷➐➅❾➁❸➃❽ ➅❷⑩ ❾⑨⑩ ❻❸➂⑩❺❽ ❸❼ ➅❾ ❺⑩➅❽❾ ❸➃⑩ ❼❸❷❻❿❺➅ ➁➃ ➅ ➀❺➅❽❽ ✄ ➁❽ ⑩➁❾⑨⑩❷
❶❸❺➈➃❸❻➁➅❺ ❸❷ ☎❸✆➊➺➀❸❻❶❺⑩❾⑩➔ ➆⑨⑩❷⑩ ✄ ➁❽ ➂⑩➄➃⑩➂ ❹➈ ➄→⑩➂ ➀❸➃❽❾❷➅➁➃❾❽➎ ⑧⑨⑩
❶❸❺➈➃❸❻➁➅❺ ➀❺➅❽❽⑩❽ ➅❷⑩ ❾⑨⑩ ❽➅❻⑩ ➅❽ ❼❸❷ ❾⑨⑩ ➓⑩➃⑩❷➅❺➁➇⑩➂ ❽➅❾➁❽➄➅❹➁❺➁❾➈ ❶❷❸❹❺⑩❻ ✂
➣❸❷➃➔ ❹➁✝❿➃➀❾➁➐⑩➔ ❷⑩➐⑩❷❽⑩➂➺➣❸❷➃ ➅➃➂ ➅➸➃⑩➎ ✞❸❷⑩❸➐⑩❷➔ ➉⑩➀⑨❾⑩❷ ➅➃➂ ➊⑩➅❷❺ ➋➌➍
➓➁➐⑩ ➅❺➓❸❷➁❾⑨❻❽ ❼❸❷ ➀❸❻❶❿❾➁➃➓ ➅ ❼❸❷❻❿❺➅ ➆⑨⑩➃ ➅ ➣❸❷➃ ❸❷ ❹➁✝❿➃➀❾➁➐⑩ ❸➃⑩ ⑩→➺
➁❽❾❽ ➙ ❾⑨⑩ ➄❷❽❾ ➄➃➂❽ ➁➃ ❾➁❻⑩ ✟➑✠✡✠
☛☞☛
➒ ➅ ➣❸❷➃ ❼❸❷❻❿❺➅ ➆➁❾⑨ ✟➑✠✡✠
☞☛
➒ ➀❺➅❿❽⑩❽➔
➆⑨⑩❷⑩ ✠✡✠ ➁❽ ❾⑨⑩ ➃❿❻❹⑩❷ ❸❼ ❸❹❽⑩❷➐➅❾➁❸➃❽ ➅➃➂
☞
❾⑨⑩ ➃❿❻❹⑩❷ ❸❼ ➐➅❷➁➅❹❺⑩❽➔ ➅➃➂
❾⑨⑩ ❽⑩➀❸➃➂ ➓➁➐⑩❽ ➁➃ ❾➁❻⑩ ✟➑✠✡✠
☞☛
➒ ➅ ❹➁✝❿➃➀❾➁➐⑩ ❼❸❷❻❿❺➅ ➆➁❾⑨ ✟➑
☞☛
➒ ➀❺➅❿❽⑩❽➎
⑧⑨⑩ ❷⑩➐⑩❷❽⑩➂➺➣❸❷➃ ➀➅❽⑩ ➁❽ ❽➁❻➁❺➅❷ ❾❸ ❾⑨⑩ ➣❸❷➃ ➀➅❽⑩➔ ➅➃➂ ❺➁➃⑩➅❷ ➅❺➓⑩❹❷➅ ➓➁➐⑩❽ ➅
❶❸❺➈➃❸❻➁➅❺ ➅❺➓❸❷➁❾⑨❻ ❼❸❷ ➅➸➃⑩ ❼❸❷❻❿❺➅❽➎
➏
⑩ ➁➃❾❷❸➂❿➀⑩ ⑨⑩❷⑩ ➅ ➃⑩➆ ❼❷➅❻⑩➆❸❷➵ ❼❸❷ ❾⑨⑩ ➁➂⑩➃❾➁➄➀➅❾➁❸➃ ❶❷❸❹❺⑩❻ ➑❽⑩➀❾➁❸➃ ✌➒➔
❹➅❽⑩➂ ❸➃ ❾⑨⑩ ➃❸❾➁❸➃ ❸❼ ➦➟➤➳➞ ➤➳➦➫➤➲ ➡➢➞➎ ⑧⑨➁❽ ❼❷➅❻⑩➆❸❷➵ ⑨➅➃➂❺⑩❽ ➣❸❷➃ ➅➃➂
❹➁✝❿➃➀❾➁➐⑩ ❼❸❷❻❿❺➅❽➔➆➁❾⑨ ➅ ❹⑩❾❾⑩❷ ❸❿❾❶❿❾ ❽➁➇⑩ ❼❸❷ ➣❸❷➃ ❼❸❷❻❿❺➅❽❾⑨➅➃ ❾⑨⑩ ➅❺➓❸➺
❷➁❾⑨❻❽ ❶❷⑩➐➁❸❿❽❺➈ ➵➃❸➆➃ ➑✟➑✠✡✠
☞
➒ ➀❺➅❿❽⑩❽ ➁➃ ❾➁❻⑩ ✟➑✠✡✠
☛☞☛
➒➒➎ ↕❾ ➅❺❽❸ ⑨➅➃➂❺⑩❽
➅➸➃⑩ ❼❸❷❻❿❺➅❽ ➑❽⑩➀❾➁❸➃ ✍➒➔ ➆➁❾⑨❸❿❾ ➃⑩⑩➂➁➃➓ ❾⑨⑩ ❿❽❿➅❺ ❾❸❸❺❽ ❸❼ ❺➁➃⑩➅❷ ➅❺➓⑩❹❷➅ ✂
➆⑩ ❽⑨❸➆ ⑨❸➆ ❶❷➁❻⑩ ➁❻❶❺➁➀➅❾⑩❽ ➅❺❺❸➆ ❾❸ ❺➁➃➵ ❾⑨⑩ ➀❸➃✝❿➃➀❾➁➐⑩ ➃❸❷❻➅❺ ❼❸❷❻❽ ➅➃➂
❾⑨⑩ ➅❺➓⑩❹❷➅➁➀ ❷⑩❶❷⑩❽⑩➃❾➅❾➁❸➃❽ ❸❼❾⑨⑩❽⑩ ❼❸❷❻❿❺➅❽➎✎➁➃➅❺❺➈➔❸❿❷❼❷➅❻⑩➆❸❷➵⑨➅➃➂❺⑩❽
➣❸❷➃➺❷⑩➃➅❻➅❹❺⑩ ❼❸❷❻❿❺➅❽ ➑❽⑩➀❾➁❸➃ ✍➒➔❼❸❷ ➆⑨➁➀⑨➔❾❸ ❸❿❷ ➵➃❸➆❺⑩➂➓⑩➔➃❸ ❶❸❺➈➃❸➺
❻➁➅❺ ➅❺➓❸❷➁❾⑨❻ ⑨➅❽ ❹⑩⑩➃ ❶❷❸❶❸❽⑩➂ ❹⑩❼❸❷⑩➎ ✏⑩➈❸➃➂ ❾⑨⑩❽⑩ ❷⑩❽❿❺❾❽➔❸❿❷ ➅❶❶❷❸➅➀⑨
➓➁➐⑩❽ ➅ ❿➃➁➄⑩➂ ❶❷❸➀⑩➂❿❷⑩ ❼❸❷ ➅❺❺ ❾⑨⑩❽⑩ ➀❺➅❽❽⑩❽
➎
✑ ✒②✓✔⑦✕⑦✇✖②⑦✓✗
➏⑩ ➅❽❽❿❻⑩ ➅ ➀❸❿➃❾➅❹❺⑩ ➃❿❻❹⑩❷ ❸❼❶❷❸❶❸❽➁❾➁❸➃➅❺➐➅❷➁➅❹❺⑩❽✘✙✚✘
☛
✚✛✛✛➎➏⑩ ➀➅❺❺✘✜
➅ ➦➛➝➤➢➤➠➞ ➫➤➢➞➟➡➫➔➅➃➂ ✢✘✜ ➅ ➥➞➯➡➢➤➠➞ ➫➤➢➞➟➡➫➎↔ ➲➫➡✣➝➞ ➁❽ ➅ ➂➁❽✝❿➃➀❾➁❸➃ ❸❼❺➁❾⑩❷➅❺❽
➁➃ ➆⑨➁➀⑨ ⑩➅➀⑨ ➐➅❷➁➅❹❺⑩ ➅❶❶⑩➅❷❽ ➅❾ ❻❸❽❾ ❸➃➀⑩➔ ➅➃➂ ➅ ❼❸❷❻❿❺➅ ➁❽ ➁➃ ➲➛➥✤✣➥➲➢➤➠➞
➥➛➟➳➡➫✥➛➟➳ ➑☎✆✎➒ ➁❼ ➁❾ ➁❽ ➆❷➁❾❾⑩➃ ➅❽ ➅ ➀❸➃✝❿➃➀❾➁❸➃ ❸❼ ➀❺➅❿❽⑩❽➎ ✎❸❷ ➁➃❽❾➅➃➀⑩➔
❾⑨⑩ ❼❸❷❻❿❺➅ ✦ ✧ ➑✘✙ ★ ✢✘
☛
➒✩ ➑✘✪➒✩ ➑ ✢✘✙ ★ ✢✘
☛
★ ✢✘✫➒ ➁❽ ➁➃ ☎✆
✎➎
↔ ➐⑩➀❾❸❷
✬ ✭ ✮✯
✚✰✱✲ ➁❽ ➅ ➳➛➭➞➫ ❸❼ ➅ ☎✆
✎
✦ ➑➂⑩➃❸❾⑩➂ ❹➈
✬
✠✧ ✦➒ ➁❼
✬
❽➅❾➁➄⑩❽ ➅❾ ❺⑩➅❽❾
❸➃⑩ ❺➁❾⑩❷➅❺ ✳ ➁➃ ⑩➅➀⑨ ➀❺➅❿❽⑩ ✴ ❸❼ ✦ ➑➆⑩ ❽➅➈
✬
❽➅❾➁❽➄⑩❽ ✴ ➠➤➡ ✳➒➎ ↔ ➟➞➫➡➢➤➛➥ ❸➃
✮✯
✚✰✱➁❽➅ ❽❿❹❽⑩❾ ❸❼
✮✯
✚✰✱✲
➎
↔ ☎✆
✎
✦ ➭➞➝➲➟➤➜➞➝ ➅ ❷⑩❺➅❾➁❸➃ ✡ ➁❼ ✡ ➁❽⑩→➅➀❾❺➈ ❾⑨⑩
❽⑩❾ ❸❼ ❻❸➂⑩❺❽ ❸❼ ✦➎ ✎❸❷
✬ ✭ ✮✯
✚✰✱✲➔➆⑩ ➆❷➁❾⑩
✬
➋✵➍ ❼❸❷ ➁❾❽ ✵❾⑨ ➀❸❻❶❸➃⑩➃❾➔ ➅➃➂
❾⑨⑩ ➃❿❻❹⑩❷ ❸❼ ➐⑩➀❾❸❷❽ ➁➃ ✡ ➁❽ ➂⑩➃❸❾⑩➂ ❹➈ ✠✡✠➎ ✎❸❷
✬
✚
✬✶ ✭ ✮✯
✚✰✱✲➔
✬ ✷ ✬✶
➅➃➂
✬ ✸ ✬✶
❷⑩❼⑩❷ ❾❸ ❾⑨⑩ ❺⑩→➁➀❸➓❷➅❶⑨➁➀ ❸❷➂⑩❷
➎
⑧⑨❷❸❿➓⑨❸❿❾ ❾⑨⑩ ❶➅❶⑩❷➔✡ ❽❾➅➃➂❽
❼❸❷ ➅ ➄→⑩➂ ➃❸➃⑩❻❶❾➈ ❷⑩❺➅❾➁❸➃ ❸➃
✮✯
✚✰✱➎
↔ ☎✆
✎
➁❽ ✹➛➟➥ ➁❼ ⑩➅➀⑨ ❸❼➁❾❽ ➀❺➅❿❽⑩❽ ➀❸➃❾➅➁➃❽ ➅❾❻❸❽❾ ❸➃⑩ ❶❸❽➁❾➁➐⑩ ❺➁❾⑩❷➅❺ ➑⑩➎➓➎➔
✦ ➅❹❸➐⑩ ➁❽ ➣❸❷➃➒➔ ➅➃➂ ➜➤✤✣➥➲➢➤➠➞ ➁❼ ⑩➅➀⑨ ❸❼ ➁❾❽ ➀❺➅❿❽⑩❽ ➀❸➃❾➅➁➃❽ ➅❾ ❻❸❽❾ ❾➆❸
❺➁❾⑩❷➅❺❽ ➑✦ ➁❽ ➥➛➢ ❹➁✝❿➃➀❾➁➐⑩➒
➎ ➏
⑩ ➂⑩➃❸❾⑩ ❹➈ ✺✻✼✽ ➑❷⑩❽❶
➎ ✾✿❀❁
✽❂❃
✿❄❅
➒ ❾⑨⑩
➀❺➅❽❽ ❸❼ ➣❸❷➃ ➑❷⑩❽❶
➎
❹➁✝❿➃➀❾➁➐⑩➒ ❼❸❷❻❿❺➅❽
➎
↔ ❷⑩❺➅❾➁❸➃ ➁❽ ❽➅➁➂ ❾❸ ❹⑩ ➣❸❷➃ ➑❷⑩❽❶
➎
➂⑩➄➃⑩ ❾⑨⑩ ❶❷❸❹❺⑩❻ ✁✂✄☎ ✆✝✄✞ ❼❸❷ ➅ ➀❺➅❽❽ ✄ ❸❼ ❶❷❸❶❸❽➁❾➁❸➃➅❺ ❼❸❷❻❿❺➅❽➎
✒②③✟✔✓✕
✁✂✄☎ ✆✝✄✞
✠➥➦✣➢ ✡↔ ❷⑩❺➅❾➁❸➃ ✡
☛
✣➢➦✣➢ ✡ ✆❸ ➁❼ ✡ ⑨➅❽ ➃❸ ➂⑩❽➀❷➁❶❾➁❸➃ ➁➃ ✄➔ ❸❾⑨⑩❷➆➁❽⑩ ❽❸❻⑩ ☎✆✎ ✦
✭
✄ ➂⑩➺
❽➀❷➁❹➁➃➓ ✡
➎
➏
⑩ ➅❷⑩ ➁➃❾⑩❷⑩❽❾⑩➂ ➁➃ ➄➃➂➁➃➓ ⑩➸➀➁⑩➃❾ ➅❺➓❸❷➁❾⑨❻❽ ❼❸❷ ✁✂✄☎ ✆✝✄✞ ❼❸❷ ➂➁☞⑩❷⑩➃❾
➀❺➅❽❽⑩❽ ✄ ✂ ❾⑨❸❽⑩ ❸❼ ➣❸❷➃➔❹➁✝❿➃➀❾➁➐⑩➔ ➅➸➃⑩ ➅➃➂ ➣❸❷➃➺❷⑩➃➅❻➅❹❺⑩ ❼❸❷❻❿❺➅❽➎
✌ ✍ ✎③✔✏✇③✕⑦✖✔ ✖✔✑③②⑦①✒✕ ✓③② ④✓✗⑥②⑦✎①⑦③✇ ⑦✇ ✔✕✖
↔❽ ➅ ❶❷⑩❺➁❻➁➃➅❷ ❽❾⑩❶➔ ➆⑩ ➀❸➃❽➁➂⑩❷ ❾⑨⑩ ❶❷❸❹❺⑩❻ ❸❼ ➀❸❻❶❿❾➁➃➓ ➁➃ ❶❸❺➈➃❸❻➁➅❺
❾➁❻⑩ ➅ ☎✆
✎
✦ ➂⑩❽➀❷➁❹➁➃➓ ✡ ➙ ❾⑨⑩ ❷⑩❽❾ ❸❼ ❸❿❷ ➆❸❷➵ ➁❽ ➁➃➂⑩⑩➂ ❹➅❽⑩➂ ❸➃ ➅➃
⑩➸➀➁⑩➃❾ ➅❺➓❸❷➁❾⑨❻ ❼❸❷ ❾⑨➁❽ ❶❷❸❹❺⑩❻➎ ✆❸❾⑩ ❾⑨➅❾ ❽❿➀⑨ ➅ ☎✆✎ ➅❺➆➅➈❽ ⑩→➁❽❾❽ ➑❽⑩⑩
❼❸❷➁➃❽❾➅➃➀⑩ ➋➌➍➒➔❹❿❾ ➀❸❻❶❿❾➁➃➓ ❾⑨⑩ ➀❺➅❽❽➁➀➅❺ ➀➅➃❸➃➁➀➅❺ ❸➃⑩ ❷⑩➻❿➁❷⑩❽➀❸❻❶❿❾➁➃➓
➅ ➀❺➅❿❽⑩ ❼❸❷ ⑩➅➀⑨ ➐⑩➀❾❸❷ ➃❸❾ ➁➃ ✡➔ ➅➃➂ ❾⑨❿❽ ➁❽ ➃❸❾ ❶❸❺➈➃❸❻➁➅❺
➎
⑧⑨⑩ ❷⑩❽❾ ❸❼ ❾⑨➁❽
❽⑩➀❾➁❸➃ ➁➃❾❷❸➂❿➀⑩❽ ➅ ❶❸❺➈➃❸❻➁➅❺ ❽❸❺❿❾➁❸➃ ❾❸ ❾⑨➁❽ ❶❷❸❹❺⑩❻➎
✎❸❷
✬ ✭
✡➔❺⑩❾✗✘➑
✬
➒ ➑❷⑩❽❶➎✗✙➑
✬
➒➒❹⑩ ❾⑨⑩ ❺⑩➃➓❾⑨ ❸❼❾⑨⑩ ❺❸➃➓⑩❽❾ ➀❸❻❻❸➃ ❶❷⑩➄→
❸❼
✬
➅➃➂ ➁❾❽ ❶❷⑩➂⑩➀⑩❽❽❸❷ ➑❷⑩❽❶➎ ❽❿➀➀⑩❽❽❸❷➒
✬✶ ✭
✡ ➁➃ ❾⑨⑩ ❺⑩→➁➀❸➓❷➅❶⑨➁➀ ❸❷➂⑩❷➔
❸❷ ✙✰ ➁❼
✬
✶
➂❸⑩❽ ➃❸❾ ⑩→➁❽❾
➎ ➏
⑩ ➂⑩➄➃⑩ ❾⑨⑩ ➀❺➅❿❽⑩ ✴➑
✬
✚✵➒ ❼❸❷ ➅❺❺
✬ ✭
✡ ➅➃➂
✵ ✧ ✰✚✛✛✛✚
☞
➁➃ ❸➃⑩ ❸❼ ❾⑨⑩ ❾➆❸ ➀➅❽⑩❽ ❹⑩❺❸➆➔ ➆⑨⑩❷⑩ ✚✛ ✧ ✘✛ ➁❼
✬
➋✜➍ ✧
✯
➅➃➂
✚✛ ✧ ✢✘✛ ➁❼
✬
➋✜➍ ✧ ✰ ✂
✢
✎❸❷ ✵ ✣ ✗✘➑
✬
➒✤ ✰ ➅➃➂
✬
➋✵➍ ✧ ✰➔ ✴➑
✬
✚✵➒ ✧ ✚✙ ★ ✛✛✛★ ✚✜✥✙ ★✘✜
✢
✎❸❷
✵ ✣
✗✙➑
✬
➒✤ ✰ ➅➃➂
✬
➋✵➍ ✧
✯
➔ ✴➑
✬
✚
✵
➒ ✧ ✚✙ ★ ✛✛✛★ ✚✜✥✙ ★ ✢✘✜
➎
✦❾⑨⑩❷➆➁❽⑩➔ ➆⑩ ❺⑩❾ ✴➑
✬
✚✵➒ ❿➃➂⑩➄➃⑩➂➎ ✆❸➆ ➆⑩ ➂⑩➄➃⑩ ❾⑨⑩ ☎✆✎ ✁✧★✩✪✫✬✧✭✡✮
❾❸ ❹⑩ ❾⑨⑩ ➀❸➃✝❿➃➀❾➁❸➃ ❸❼ ➅❺❺ ❾⑨⑩ ➂⑩➄➃⑩➂ ➀❺➅❿❽⑩❽ ✴➑
✬
✚✵➒➎
✯✰✖✕✎✔✓ ✉ ✱➞➢ ✡ ✧
✮✯✯
✰✚✰
✯✯
✚✰✰
✯
✚✰✰✰✱ ✲ ➩➞ ✳➡➠➞ ✡✗✘➑
✯✯
✰➒ ✧ ✙✰✴ ➡➥➭ ➩➞
➯➞➢ ➢✳➞ ➲➫➡✣➝➞✴➑
✯✯
✰✚
➌
➒✧ ✘✙★✘
☛
★✘✪ ✲✗✙➑
✯✯
✰➒ ✧
✯
✴ ➡➥➭ ✴➑
✯✯
✰✚
❆
➒✧ ✘✙★✢✘
☛
✲
✗✙➑✰
✯✯
➒ ✧ ✰✴ ➡➥➭ ✴➑✰
✯✯
✚➌➒ ✧ ✢✘✙ ★ ✘
☛
★ ✢✘✪✵ ✶ ✳➞ ➛➢✳➞➟ ➲➫➡✣➝➞➝ ✴➑
✬
✚✵➒ ➡➟➞
✣➥
➭➞✷
➥➞ ➭✴ ➡➥➭ ➩➞
✷
➥➡➫➫➧ ➯➞➢ ➢✳➞ ✸✹✺ ✁✧★✩✪✫✬✧✭✡✮✧ ➑✘✙ ★ ✘
☛
★ ✘✪➒✩ ➑✘✙ ★
✢✘
☛
➒✩ ➑✢✘✙ ★ ✘
☛
★ ✢✘✪➒✵
✆❸❾⑩ ❾⑨➅❾ ✡ ➀➅➃ ❹⑩ ❽⑩⑩➃ ➅❽ ➅ ❹➁➃➅❷➈ ❾❷⑩⑩ ✻➔ ➆➁❾⑨ ⑩➅➀⑨
✬ ✭
✡ ➀❸❷❷⑩❽❶❸➃➂➁➃➓
❾❸ ➅ ❹❷➅➃➀⑨ ❸❼ ✻➎ ⑧⑨⑩➃ ✴➑
✬
✚✵➒ ➀❸❷❷⑩❽❶❸➃➂❽ ➁➃❾❿➁❾➁➐⑩❺➈ ❾❸ ➅ ❻➁❽❽➁➃➓ ❽❿❹❾❷⑩⑩ ❸❼
✻ ➑ ➅ ❽❸➃ ❸❼ ❾⑨⑩ ✵❾⑨ ➃❸➂⑩ ❸❼❾⑨⑩ ❹❷➅➃➀⑨
✬
➒➔ ➁➎⑩➎➔✴➑
✬
✚✵➒ ❼❸❷❹➁➂❽ ➅ ❽⑩❾ ❸❼➐⑩➀❾❸❷❽
➃❸❾ ➁➃ ✡
➎
✒②③✎③✗⑦①⑦③✇ ✑
✶ ✳➞ ✸✹✺ ✦✼✁✧★✩✪✫✬✧✭✡✮ ➭➞➝➲➟➤➜➞➝ ✡✵ ✠➢ ➲➛➥➢➡➤➥➝ ✟➑✠✡✠
☞
➒
