T
AF
DR
C0
4
PA
PE
R
✁ ✂✆☎✞✝✄✟✡✠☛✂✆☞✌✂✎✍✑✏ ✒✔✓✖✕✄✗✘✂✆✙✚✟✡✠☛✛✜✟✡✍✣✢ ✒✥✤✧✦✩★✪✓✘✂✆✙✚✛
✄
✂✎✍✫✓✬✤✧✭✮✍✣✤✧✓ ✓✬✭✩✟✩✯✰✯✰✂✆✙ ✢✪✟✖✓✱✟
✲✴✳✶✵✸✷✺✹✮✲✴✳✶✻✼✳✾✽✿✳✆✵✰✳✾✹❀✽✪❁❂✽❄❃✌✳✶✵❅✽✪❆❈❇❀❉❊✷●❋✔❍✬✳✾✹
■❑❏✸❏▼▲❖◆◗P❘P❚❙❈❯❲❱●❳❩❨❚❬❪❭❴❫❴❳❩❵❜❛❞❝❚❡❄❢❣❝✸❤❩❝❚❭❴✐❚❥✎❝▼❦❜❧❲❬♠❱♥❨❚❬❪❭❲✐❚❱●❥♣♦q❬❪❝❚❭❖r❚❬ts✱✐❚❫✉❝✸❱♣❯❲❱●❳❩❨❚❬❪❭❘❫❖❳❩❵❜❛
✈①✇③②⑤④▼⑥⑧⑦ ❙❄⑨♥⑨●⑩❷❶✶❸✸❹✸❺❼❻❖❽❷❾●❿➁➀❚➂➄➃✎➀❅➅❈❻➆➀❅❿✸❾❣➇❞➀❚➈●➀❅➉▼❶✶❸➊➂✺⑩❅➉✎❸➁➋♥❸❅➌❅➍❣❻✼➉➊❶✎❾①❻➆➀♥❿❚❾
➎❣➏✿➐✱➑❣➒➔➓ ■ ➓✧→➄➣✸➣↕↔ P♠◆❖➙♠➛ ⑥➝➜▼➞ ❙❄➟➆❱❅❵✉❬❪❭❖❡➠✐❚➡↕❬❚➢
➤✌➥➔➦❪➧➩➨➊➫●➭❚➧ ❙ ➯❼➲✎❬➳❵❖➲✎❭❖❬♠✐▼❵t❝❚❡❼➡↕❛♥➵✶❬❪❭❂✐▼❵✉❵❖✐❚➡❖➸➄❫➻➺➻❝❚❵❖❳❩❨▼✐▼❵✉❬♠❫➼❵❖➲●❬❞❱✎❬❪❬♠❥✴❵✉❝➽➺⑤❝✸❱●❳❩❵✉❝❚❭➼❳➾❱❅❵✉❬❪❭❴❱●❬❪❵✞❵✉❭❴✐▼➚➳➡❞❥●✐▼❵❖✐✱❡➪❝❚❭
➶❳➹❵✉❝❚❝❚❵✉❭❴❬♠❳➹❱✎❱♥r➻❵❖❳➹✐❚❵✉❤➹❝➁❤❩❝✸❛t❤➹❫❪✐▼➬✆➵✺❫❖❱✎➴●❝❚➡❴❭❴➲✱➺➳✐❚✐❚❫➮❤➄➵✆❵❖➲●❬♠➲✺❝✸❫✉✐♠❬➼❨➄❳❩➴●❝❚❫❖❭♠❬♠➢➘❥☛❧q❵✉➴✎❭❴❬①✐❚❥●❵✉❳➹❝➷❵❖❳❩❵❖❝✸➲✎❱●❬❼✐❚❬♠❤➹❤❩❱●❛❞❝❚❝✸❭❴➺➻❱♣❝✸❥●➴●✐▼❫➘❵❖✐❞❨❚❝✸❳➹❱➱❤➾➴●➺➻❵❖➲✎❬♠❬ ❫➘❝❚❭❖❡✶❝➄❫❖❥●➴●➴●➡❘➡↕➲➳❵❼❥●➺⑤✐▼❵❖✐❚✐➄❱➁➬➁➴✎❫✉❡➠❵❖✐❚✐▼➡↕❵❖❵❖❳➹➴✎❫✉❵❖❭❴❳➹❳➹➡❪❱●✐❚r➳❤ ❥✎➶ ❬❭❖❝➄➡↕✐▼❬♠❭❖❫❖❵❖❫❄➺⑤➺➻❬♠❱❅❝✸❵❖❱➄❫❪❦ ➬
✐▼❭❴❬➼❳➹❱●✐❚❥●❬♠✃♥➴●✐▼❵✉❬❚➢❑➯❼➲✎❬✞❥✎❬❪❵✉❬♠➡↕❵❖❳➹❝✸❱✱❝❚❡➷❐➆❬↕❒➄❝❚❵❖❳➹➡❪❮❰❥●✐▼❵❖✐➄➬✆Ï➮➲●❳➹➡❘➲♣➺⑤✐➩❛♣❳➹❱●➶ ❥✺❳➹➡❪✐▼❵✉❬✞✐ ➶ ❝❚❵✉❬♠❱♥❵❖❳➹✐❚❤➔✐▼❵✉❵❖✐❚➡❖➸✆➬✾➶ ❭❖❬♠✃♥➴✺❳❩❭❖❬♠❫➮✐
➡❘➲●✐▼❭❴✐❚➡↕❵✉❬❪❭❴❳➹Ð♠✐▼❵❖❳❩❝✸❱♣❝❚❡Ñ❐➆❵③❛ ❳➾➡❪✐❚❤➹❮➻➵✶❬♠➲●✐♠❨➄❳❩❝❚❭♠➢✿Ò✰❬ ❭❖❝ ❝✸❫✉❬➷❫❖❝✸➺➻❬✞❫❖❳➹➺ ❤❩❬qr❚❭❴✐ ➲●❳➾➡❪✐❚❤✶❵✉❝♥❝✸❤➹❫➮❵❖➲●✐▼❵ ❬❪❭❴➺⑤❳➹❵❈❭❴❬♠✐❚❥✎❛
❨➄❳➹❫❖➴✺✐❚❤➘❳➹❥✎❬♠❱♥❵❖❳❩Ó✺➡❪✐▼❵❖❳❩❝✸❱✰❝❚❡①➶ ➴●❱➁➴●❫❖➴✺✐❚❤➘❳➹❱❅❵✉❬❪❭❘❱✎❬❪❵Ñ❵✉❭❴✐▼➶ ➚➳➡ ➶ ➶ ✐▼❵✉❵✉❬❪❭❴❱●❫➼❳➹❱Ô❐✉❫✉➶ ❵✉❭❖❬♠✐❚➺⑤❳➾➶❱✎r✸❮♣❥●✐▼❵❖✐➄➢❰➯❼➲✎❬♠❫❖❬⑤➶ ➺➻❬❪❵❖➲✎❝➄❥●❫✞✐▼❭❖❬
❳➾❤➹❤➹➴●❫✉❵✉❭❘✐▼❵✉❬♠❥❞❝✸❱♣✐⑤➺➻❝➄❥✎❬❪❭❴✐▼❵✉❬↕❦❜❫❖❳❩Ð❪❬♠❥✱❥●✐▼❵❖✐⑤❫✉❬❪❵tÕ ♠Ö❚× ➬ÙØ▼Ú × ❭❖❬♠➡↕❝❚❭❘❥●❫❘Û❣➡↕❝✸❤➹❤➹❬♠➡↕❵✉❬♠❥☛✐▼❵q♦❲❬❪❝❚❭❴r❚❬ts✱✐❚❫✉❝✸❱☛❯❲❱●❳❩❨❚❬❪❭❴❫❖❳➹❵❜❛❚➢
Ü ◆❪Ý⑤Þ ➜ ▲✉❏➊P❚❙❈❤➹❝❚r✸✐▼❭❴❳❩❵❖➲●➺⑤❳➾➡❑❵✉❭❘✐❚❱●❫✉❡⑧❝❚❭❴➺⑤✐▼❵❖❳❩❝✸❱✾➬✎➡↕❝✸➺ ➶ ➴✎❵❖✐▼❵❖❳❩❝✸❱●✐❚❤✥➺⑤❬❪❵❖➲✎❝➁❥✺❫❪➬✎❭❖❬♠➡❪➴✎❭❴❫❴❳❩❨❚❬Ñ➡↕❝✸➺ ➶ ➴✎❵❖✐▼❵❖❳❩❝✸❱✥➬✎r❚❭❴✐ ➶ ➲●❳➹➡❪✐❚❤
❥✺❳➹❫ ➶ ❤➹✐➩❛➁❫♠➬➁❬↕❒ ➶ ❤❩❝❚❭❘✐▼❵✉❝❚❭❖❛✌❥✺✐▼❵❖✐⑤✐❚❱●✐❚❤❩❛➄❫❖❳➹❫❪➢
ß à ✹âá❚✵✸ã➘✽✿ä❀å➁á✸æçã✔✹
❢❣❛♥➵✶❬❪❭❑✐▼❵✉❵❖✐❚➡❴➸➁❫q❝✸❱➽➡↕❝✸➺ ➶ ➴●❵✉❬❪❭❲❱✎❬❪❵③Ï❀❝❚❭❴➸➁❫❑❝❚❭ ➶ ❬❪❭❘❫✉❝✸❱●✐❚❤✥➡↕❝✸➺ ➶ ➴✎❵✉❬❪❭❴❫❲➲●✐♠❨❚❬t➵✶❬♠➡↕❝✸➺➻❬➼➺⑤✐❷è✉❝❚❭q❵❖➲✎❭❖❬♠✐▼❵❖❫❑❵✉❝✌❱●❬♠✐▼❭❴❤❩❛
✐❚❤➾❤❄❝ ➶ ❬❪❭❴✐▼❵❖❳❩❝✸❱●❫t❳➹❱é❫❖❝➁➡❪❳❩❬❪❵③❛❚➢ês♣❬❪❵❖➲✎❝➄❥●❫➼❵✉❝✱❵❖➲♥Ï❈✐▼❭❴❵t❫❖➴✺➡❴➲ë✐▼❵✉❵❖✐❚➡❴➸➁❫➳✐▼❭❖❬❞❫✉❬❪❭❘❳❩❝✸➴●❫❖❤❩❛✰❱✎❬❪❬♠❥●❬♠❥✾➢♣➯❼➲✎❬ ➶ ❭❖❝❚➵✺❤❩❬♠➺ì❝❚❡
❥●❬❪❵✉❬♠➡↕❵❖❳➹❱✎r➱➴●❱➁➴●❫❖➴●✐❚❤â➵✶❬♠➲●✐♠❨➄❳❩❝❚❭q❳➹❱ê❥●✐▼❵❖✐❰❫✉❵✉❭❖❬♠✐❚➺⑤❫q❝➄➡❪➡❪➴✎❭❴❫q❳➹❱➽➺⑤✐❚❱♥❛♣Ó●❬♠❤➹❥✺❫❪➬✆❫❴➴●➡❴➲ê✐❚❫Ñ❳➹❱➽❥●❳➹❫✉❬♠✐❚❫❖❬t❫❖➴●❭❖❨❚❬♠❳➹❤➹❤➹✐❚❱✺➡↕❬❚➬
❱➁➴●➡❪❤❩❬♠✐▼❭ ➶ ❭❖❝➄❥●➴●➡↕❵➷➺⑤✐❚❱➁➴✎❡➠✐❚➡↕❵❖➴✎❭❴❳➹❱●r✎➬â✐❚❱●❥ ➶ ➲✎❝✸❱✎❬➳✐❚❱✺❥ë➡↕❭❖❬♠❥●❳➹❵➷➡❪✐▼❭❴❥✴➴✺❫✉❬❚➢✌í❲❳➹❫✉❵✉❝❚❭❘❳➹➡❪✐❚❤➹❤❩❛❚➬➔➺⑤✐❚❱♥➴●❡⑧✐❚➡↕❵❖➴✎❭❘❳➹❱✎r♣✐❚❱●❥
Óî❱●✐❚❱●➡❪❳➹✐❚❤❀❳➹❱●❥●➴●❫❖❵✉❭❴❳❩❬♠❫Ñ➲●✐➩❨❚❬✌❭❴❬♠❤➹❳❩❬♠❥é❝✸❱✧➡↕❝✸❱♥❨❚❬♠❱❅❵❖❳❩❝✸❱✺✐❚❤❈❫❖❵❖✐▼❵❖❳➹❫✉❵❖❳➹➡❪✐❚❤ ➶ ❭❖❝➄➡↕❬♠❫❖❫t➺➻❝✸❱●❳❩❵✉❝❚❭❴❳➾❱✎r☛❵✉❝➁❝✸❤➹❫❪➬❄❫❖➴●➡❘➲✴✐❚❫t➡↕❝✸❱➄❦
❵✉❭❴❝✸❤❄➡❴➲●✐▼❭❴❵❖❫➷✐❚❱●❥ ➶ ❭❴❝➁➡↕❬♠❫❖❫➷ï●❝➩Ï✡❥✺❳➹✐▼r❚❭❴✐❚➺⑤❫❪➢➳ð➄➴✺➡❴➲ê❵✉❝➁❝✸❤➹❫➷✐▼❭❖❬⑤❭❴❬♠❤➹❳➹✐▼➵✺❤❩❬❂✐❚❱●❥✰✐ ➶●➶ ❭❖❝ ➶ ❭❴❳➹✐▼❵✉❬❚➬✔➵✆❬♠➡❪✐❚➴✺❫✉❬➻❵❖➲✎❬⑤❥●✐▼❵❖✐
❫❖❵✉❭❖❬♠✐❚➺⑤❫✿➡❪✐❚❱❞➵✶❬❼❫✉❵✉❭❴✐▼❵❖❳❩Ó✺❬♠❥➳❳➹❱♥❵✉❝➷❭❖❬♠✐❚❫✉❝✸❱✺✐▼➵✺❤❩❛➻❳➹❱●❥✎❬ ➶ ❬♠❱●❥●❬♠❱❅❵➘❫✉❬❪❭❴❳➹❬♠❫❪➢➔ñ●❝❚❭❀❬↕❒✎✐❚➺ ➶ ❤❩❬❚➬➁➺➻❝✸❱●❳❩❵✉❝❚❭❘❳➹❱✎r➷✐✞➡❪➴✺❫✉❵✉❝✸➺➻❬❪❭♠òó❫
➡↕❭❴❬♠❥●❳❩❵➷➡❪✐▼❭❴❥✴➴●❫✉❬⑤❭❖❬♠❤➾❳❩❬♠❫q❝✸❱ë✐❚❱✴✐❚❱●✐❚❤❩❛➄❫❖❳➹❫Ñ❝❚❡❣❵❖➲✎❬➳❥✺✐▼❵❖✐➱❡➪❭❴❝✸➺ô❵❖➲✎❬➳➡❪➴✺❫✉❵✉❝✸➺➻❬❪❭♠òó❫ ✐❚❫✉❵✞➡❘➲●✐▼❭❖r✸❳➹❱✎r✱✐❚➺➻❝✸➴●❱♥❵❖❫➼✐❚❱●❥
❡⑧❭❖❬♠✃➁➴✎❬♠❱●➡❪❳❩❬♠❫♠➢➽➯❼➲✺❳➹❫✞❥●✐▼❵❖✐ê❫✉❵✉❭❴❬♠✐❚➺✜❳➾❫➼✐ê➺t➴●➡❴➲õ❫❖➺⑤✐❚❤➾❤❩❬❪❭➼❥●✐▼❵❖✐ê❫✉❬❪❵❂❵❖➲●✐❚❱✴❵❖➲✎❬❰❬♠❱♥➶ ❵❖❳❩❭❖❬❰❥●✐▼❵❖✐▼➵✺✐❚❫✉❬❚➬❄Ï❑❳❩❵❖➲ë❬❪❨❚❬♠❱♥❵❖❫
❝➄➡❪➡❪➴✎❭❖❭❘❳➹❱✎r➳❳❩❭❴❭❖❬❪r✸➴●❤➹✐▼❭❴❤➹❛❞➵✺➴●❵❑❱✎❝❚❵❑❡➪❭❖❬♠✃➁➴✎❬♠❱♥❵❖❤❩❛✆ö✆➺➻❝❚❭❴❬❪❝➩❨❚❬❪❭♠➬✾❝✸❱✎❬❂➡❪➴●❫✉❵✉❝✸➺⑤❬❪❭♠òó❫q❥●✐▼❵❖✐❞❫❖❵✉❭❖❬♠✐❚➺÷➡❪✐❚❱♣➵✶❬➼➡↕❝✸❱✺❫❖❳➹❥✎❬❪❭❖❬♠❥
✐❚❫❂❳➹❱✺❥✎❬ ➶ ❬♠❱●❥✎❬♠❱♥❵Ñ❝❚❡❼❝❚❵❖➲✎❬❪❭➻➡❪➴●❫✉❵✉❝✸➺➻❬❪❭❘❫❪ò➔❥✺✐▼❵❖✐➽❫❖❵✉❭❖❬♠✐❚➺⑤❫❪➢➽➟✼❱✧➡↕❝✸❱♥❵✉❭❴✐❚❫✉❵❪➬✿❳➹❱♥❵✉❬❪❭❴❱✎❬❪❵t❵✉❭❴✐▼➚➳➡✌❥●✐▼❵❖✐➽✐▼❭❖❬✌❨➁❳❩❭❴❵❖➴●✐❚❤➹❤❩❛
➡↕❝✸❱♥❵❖❳➹❱➁➴✎❝✸➴●❫✞Õ➠❤➾❳➹➺⑤❳❩❵✉❬♠❥✌❝✸❱●❤❩❛✌➵➁❛❞❵❖➲✎❬Ñ❭❴❬♠❫✉❝✸❤➹➴✎❵❖❳❩❝✸❱❰❝❚❡ø❵❖➲✎❬Ñ❵❖❳➾➺➻❬➷➡❪❤❩❝➄➡❖➸❰❵❖➲●✐▼❵➮➡❪✐ ❵❖➴●❭❖❬♠❫①❵❖➲✎❬♠➺❞Û❘➬î✐❚❱●❥➱❵❖➲✎❬➷❥●✐▼❵❖✐⑤❡➪❝❚❭
❝✸❱●❬✞❫✉❛➄❫✉❵✉❬♠➺✫❳➹❱♥❨❚❝✸❤❩❨❚❬✞➲➁➴●❱●❥✎❭❴❬♠❥●❫❈❝❚❡â❵❖➲✎❝✸➴✺❫❖✐❚❱●❥●❫①❝❚❡➔❝❚❵❖➲✎❬❪❭❲➡↕❝✸➺ ➶ ➴✎❵✉❬❪❭❼❝❚❭❲❱✎❬❪❵❜➶Ï❈❝❚❭❖➸➱❫✉❛➄❫✉❵✉❬♠➺⑤❫❪➢
➯✔❝➁❝✸❤➹❫➼❡➪❝❚❭➻➺➻❝✸❱●❳➹❵✉❝❚❭❴❳➹❱✎r♣❫❴➴●➡❴➲✧❥●✐▼❵❖✐➽✐▼❭❖❬❞❬♠❫❴❫✉❬♠❱❅❵❖❳➾✐❚❤➝➢ê❢❈❝✸❱♥❨❚❬♠❱♥❵❖❳❩❝✸❱●✐❚❤❣❫✉❵❖✐▼❵❖❳➹❫✉❵❖❳➾➡❪✐❚❤❀✐❚❱●✐❚❤➹❛➁❫❖❳➾❫➷❝❚❡⑧❵✉❬♠❱✧✐❚❫❴❫❖➴●➺➻❬♠❫
❵❖➲✺✐▼❵✞❥●✐▼❵❖✐❰❡⑧❝✸❤➹❤❩❝➩Ï✩✐♣➺⑤✐▼❵❖➲✎❬♠➺⑤✐▼❵❖❳➹➡❪✐❚❤➾❤❩❛♣❵✉❭❴✐❚➡↕❵❖✐▼➵î❤❩❬ ➶ ❭❖❝❚➵î✐▼➵✺❳➹❤➹❳❩❵③❛♣❥●❳➹❫❖❵✉❭❴❳❩➵✺➴✎❵❖❳➹❝✸❱☛❡➠➴●❱●➡↕❵❖❳❩❝✸❱✰✐❚❱●❥êÏ❑❳➹❤➹❤â❛➁❳❩❬♠❤➾❥ê❨➊✐❚❤➹❳➾❥
❬♠❫❖❵❖❳➹➺⑤✐▼❵✉❬♠❫➼❝❚❡①❵❖➲✎❬ ➶ ✐▼❭❘✐❚➺➻❬❪❵✉❬❪❭❴❫➼❝❚❡①❵❖➲●❳➹❫✞❥✺❳➹❫✉❵✉❭❴❳❩➵î➴✎❵❖❳❩❝✸❱✾➢✌ð✎➴●➡❴➲✴✐ ➶●➶ ❭❖❝✸✐❚➡❘➲✎❬♠❫➼➡❪✐❚❱✺❱✎❝❚❵➼➵✶❬➳➴✺❫✉❬♠❥é❝✸❱✧➺⑤❳➹❤➹❤➾❳❩❝✸❱●❫❲❝❚❡
❥✺✐▼❵❖✐ ➶ ❝✸❳➹❱♥❵❖❫❪➢♣♦❲❭❴✐ ➶ ➲●❳➾➡❪✐❚❤➘❵✉❝♥❝✸❤➾❫✞❡⑧❝❚❭➼❫✉❵✉❭❴❬♠✐❚➺⑤❳➹❱✎r♣❥✺✐▼❵❖✐♣❝▼ù✶❬❪❭t➲●❝ ➶ ❬➳❝❚❡❼❳➹❥✎❬♠❱♥❵❖❳❩❡➪❛➄❳➹❱✎r ➶ ❝❚❵✉❬♠❱♥❵❖❳➹✐❚❤✿➡↕❛➁➵✶❬❪❭❴✐▼❵✉❵❖✐❚➡❖➸➄❫❪➬
➶❥●❬♠✐▼❫❖❭❖➡↕❵❖❭❴❳➹➡❪❳❩➵✶➴●❬♠❤➹✐▼❥❰❭❘❤❩❳➹❛♣❱♣Ï➮ð➁❬♠➲●➡↕❬♠❵❖❱é❳❩❝✸❵❖❱➽➲✎❬✌ú➁➢ ❵✉❝♥❝✸❤➾❫✞✐▼❭❖❬✌❵❖✐❚❳➹❤❩❝❚❭❖❬♠❥ë❡➪❝❚❭t❵❖➲✎❬✌✐ ➶●➶ ❤➹❳➹➡❪✐▼❵❖❳➹❝✸❱✾➢✌ñ●❬♠✐▼❵❖➴✎❭❖❬♠❫❂❝❚❡❼❳➹❱♥❵✉❬❪❭❴❱✎❬❪❵➷❵✉❭❘✐▼➚➳➡❞❥✺✐▼❵❖✐✱✐▼❭❖❬
û ❨❚❬♠❱üÏ➮❳➹❵❖➲ü❱✎❝➩❨❚❬♠❤➮r❚❭❴✐ ➲●❳➹➡❪✐❚❤①❥✺❳➹❫ ❤➹✐➩❛➁❫t❡⑧❝❚❭➳➺⑤✐❚❫❖❫❴❳❩❨❚❬☛❥●✐▼❵❖✐é❫✉❵✉❭❴❬♠✐❚➺⑤❫❪➬❣➲✎❝➩Ï❈❬❪❨❚❬❪❭♠➬①✐✰➡❴➲●✐▼❭❘✐❚➡↕❵✉❬❪❭❴❳❩Ð♠✐▼❵❖❳❩❝✸❱✘❝❚❡
❐➆❵③❛ ➶ ❳➹➡❪✐❚❤➹❮①➵✶❬♠➲●✐➩❨➁❳❩❝❚❭â❳➹❫✥❫✉❵❖❳➹❤➾❤❚➶ ❱✎❬❪❬♠❥✎❬♠❥✾➬➊❫✉❝❼➶ ❭❖❬♠❤❩❬❪❨▼✐❚❱♥❵✥r❚❭❴✐ ➶ ➲●❳➾➡❪✐❚❤❚❵✉❝♥❝✸❤➾❫✥➡❪✐❚❱✞➵✶❬❄➺⑤✐❚❥●❬❄➺➻❝❚❭❖❬✿❫✉❬♠❱✺❫❖❳❩❵❖❳❩❨❚❬➘❵✉❝❲➡❪✐ ➶ ❵❖➴✎❭❴❳➹❱●r
❬↕❒➄❝❚❵❖❳➹➡t❝❚❭➷✐▼➵✺❱✎❝❚❭❘➺⑤✐❚❤ ➶ ✐▼❵✉❵✉❬❪❭❴❱●❫❪➢➷➯①Ï❈❝➱✐ ➶●➶ ❭❖❝✸✐❚➡❘➲✎❬♠❫q❵✉❝❰❵❖➲✎❬❂❥✎❬❪❵✉❬♠➡↕❵❖❳❩❝✸❱ ➶ ❭❴❝❚➵✺❤❩❬♠➺✫❵❖➲●❭❖❝✸➴✎r✸➲➽❨➁❳➾❫❖➴●✐❚❤➹❳❩Ð♠✐▼❵❖❳➹❝✸❱✱✐▼❭❖❬
❥✺❳➹❫❖➡❪➴●❫❖❫❖❬♠❥✰❳➹❱✰❵❖➲●❳➹❫✞✐▼❭❖❵❖❳➹➡❪❤❩❬❚➢☛ð➁❬♠➡↕❵❖❳❩❝✸❱ Ö ❥✎❬♠❫❖➡↕❭❴❳➹➵✆❬♠❫Ñ✐✘❐✉❥✎❭❴❳➹❤➾❤ý❦❜❥✎❝➩Ï❑❱●❮❞✐ ➶✺➶ ❭❖❝✸✐❚➡❴➲✴❵✉❝♣❨➄❳❩❬❪Ï➮❳➾❱✎r➱❤➹✐▼❭❖r❚❬➳❥●✐▼❵❖✐✱❫✉❬❪❵❖❫❪➬
❳➾❤➹❤➹➴●❫✉❵✉❭❘✐▼❵✉❬♠❥ü❝✸❱✘✐✧❥●✐▼❵❖✐✧❫✉❬❪❵✌❝❚❡ ♠Ö❚× ➬ÙØ▼Ú × ❭❖❬♠➡↕❝❚❭❴❥●❫❰➡↕❝✸❤➹❤➹❬♠➡↕❵✉❬♠❥✖❝❷❨❚❬❪❭☛✐ë❝✸❱✎❬↕❦❜➲●❝✸➴✎❭ ➶ ❬❪❭❴❳➹❝➁❥þ✐▼❵☛♦❲❬❪❝❚❭❖r❚❬és✱✐❚❫✉❝✸❱
ÿ
R
✂✁☎✄✝✆✟✞✡✠☞☛✌✄✝✍✏✎✟✑✓✒✔✞✖✕✗✍✌✄✝✘✙✁✛✚✢✜✣✞✖☛✌✕✗✠✤✄✝✥✦✞✖☛★✧✩☛✪✞✖✕✗✘✙✁☎✜✫✧✭✬☎✬☎✠✌✘✙✧✟✕☞✮✰✯✲✱✳✞✡✆✟✘✙✴✶✵✣✍✌✄✶✘✙✁☎✧✭✠✌✎✸✷✟✠✤✧✭✬✹✮☎✄✶✕✡✧✟✴✺✜☎✄✻☛✪✬✹✴✶✧✼✎✔☛✌✽✺✯✟✾✿✮☎✄✶✕✤✮✸✬☎✠✤✞✖☛✪✞✖✁❀✍
✍✌✮☎✞❁✜☎✧✭✍✌✧✫✘✙✁☎✴✝✎❂✾❃✄✝✍✌✮☎✄✶✁❄✧❅✁☎✧✭✠✌✠✌✘❆✾❇✍✌✄✶❈✛✞✢✾❃✄✶✁☎✜☎✘✼✾❊❉❋✞✟✑●✷✣✑✝✯■❍✡❏✫❈✫✄✶✁❑✵☎✍✪✞✖☛☞▲☞▼✹✞✖✧✭✠✤✴✶✎◆✜✹✧✭✍✌✧✫✜☎✄✶☛✤✧✭✬☎✬✦✞✖✧✭✠❃✧✟☛❃✁✣✞✡✾❖✯P❈◗✘✟✠✌✞
✠✤✞✖✕✗✞✖✁❀✍❘✜☎✧✭✍✌✧✺✯P✕✗✘✙❈✛✞✸✄✶✁❑✍✪✘✛✆✺✄✝✞✡✾✢✑❚❙❯✾❱✘✫✞✗❲✣✧✟❈◗✬✹✴✝✞✖☛✿✧✭✠✌✞❳✱✳✾❚✧✭✍✪✞✡✠✌❨❩✧✟✴✶✴✲✜☎✄✻✧✭✷✟✠✤✧✟❈✛✽✫✧✟✁✹✜❬✱✪☛✪❭✔✎✔✴✶✄✻✁✣✞❖✜☎✄✶☛✌✬✹✴✶✧✖✎✟✑❯✒✔✞✖✕✗✍✌✄✝✘✙✁
❪ ✘✭❫❴✞✡✠✤☛❃✧✛☛✌✵☎❈✛❈✫✧✭✠✌✎❅✧✟✁☎✜❵✬☎✠✌✘✟✬✦✘✙☛✌✧✟✴✶☛❚❨❋✘✟✠❛❨❩✵✣✠✌✍✌✮✣✞✡✠❯✾❱✘✟✠✌❭❴✑
T
AF
DR
C0
4
PA
PE
❜ ❝■❞☎❡❴❢✙❣✓❤❀❞✹✐❵❥❧❦✸♠✏♥♦❢✟❞☎❤❀♥♣❞✣❢❄❢✟❤✙❡❴qsr✉t✓❡❴❢✟❡
♦❙ ✘✛❈◗✘✙✁☎✄✶✍✪✘✟✠❚✄✻✁❀✍✪✞✡✠✤✁☎✞✡✍❱✍✪✠☞✧✭✈✫✕❘✜☎✧✭✍✌✧✇❨①✘✟✠❯✬✦✘✟✍✪✞✖✁❑✍✌✄✶✧✟✴✦✧✭✍✪✍✌✧✟✕✌❭✺☛✡✯✹✘✟✠✤✷✙✧✟✁☎✄✝②✖✧✭✍✌✄✝✘✙✁☎☛❚✾✿✄✶✴✶✴❴✄✶✁☎☛✪✍✌✧✟✴✶✴P✧✟✁✣✘✙✁❑✎✔❈◗✘✙✵✹☛❯☛✌✵✣✠✌✆✟✞✖✄✶✴✝③
✴✻✧✟✁☎✕✗✞✸❈✫✧✟✕✤✮☎✄✶✁☎✞✖☛✿✘✙✵☎✍✌☛✌✄✶✜✣✞✇✧④✱✳⑤☎✠✌✞✡✾❚✧✟✴✶✴✶✽❅✍✪✘◆❈✛✘✙✁☎✄✝✍✪✘✟✠✩✄✶✁☎✕✗✘✙❈✛✄✻✁✣✷❅✧✟✁☎✜⑥✘✙✵✣✍✪✷✟✘✙✄✻✁✣✷❅✍✪✠☞✧✭✈✫✕✭✑❖⑦✣✘✟✠✢✧◆✜☎✄✶☛✤✕✡✵☎☛✌☛✌✄✝✘✙✁⑧✘✟❨
✍✌✮☎✞❃✍✏✎✔✬✦✞✖☛♣✘✟❨✰✬✹✠✌✘✟✷✟✠✤✧✟❈✛☛⑨✍✌✮☎✧✭✍⑨❈✛✘✙✁☎✄✝✍✪✘✟✠♣✍✪✠☞✧✭✈✫✕❃⑩✹✘✼✾✢✯✔☛✪✞✡✞❘❶❳✧✭✠✤✕☞✮✣✞✡✍✪✍✪✞✛❉ ÿ ❏✟❏✣❍✭✯P❷❚✮✰✑✙✚❑▲☞✑✓❸❘✧✭✍✌✧✇✕✗✘✙✴✶✴✝✞✖✕✗✍✪✞✖✜❂✜☎✵✣✠✤✄✻✁✣✷
✧✟✁❹✄✶✁❑✍✪✞✡✠✤✁✣✞✡✍✂☛✪✞✖☛✌☛✌✄✶✘✙✁❳✄✶✁✹✕✡✴✶✵☎✜✣✞✖☛❛❈✫✧✟✁❀✎❵❨❋✞✖✧✭✍✌✵✣✠✌✞✖☛✖▼✰❭✟✞✡✎❵❨①✞✖✧✭✍✌✵☎✠✌✞✖☛❘✄✶✁☎✕✡✴✶✵☎✜☎✞❖☛✪✘✙✵✣✠✤✕✗✞✇✧✟✁☎✜⑥✜✣✞✖☛✪✍✌✄✶✁✹✧✭✍✌✄✝✘✙✁⑧✧✟✜☎✜☎✠✌✞✖☛✌☛✪✞✖☛✡✯
☛✌✘✙✵✣✠✤✕✗✞❖✧✟✁☎✜❄✜☎✞✖☛✪✍✌✄✶✁☎✧✭✍✌✄✝✘✙✁❵✬❴✘✟✠✤✍✌☛✡✯✣✧✟✁☎✜❵❈◗✞✖✧✟☛✌✵☎✠✌✞✖☛❯✘✟❨■☛✌✄✝②✡✞✢✧✟✁☎✜⑧✜☎✵✣✠✤✧✭✍✌✄✝✘✙✁◆✘✟❨❺✍✌✮✣✞❖☛✌✞✖☛✌☛✌✄✝✘✙✁✰✑
❻✪❼❾❽✙❿❀❿✭➀✪➁✗➂✤➂✖➁➃➂
➄➅✁❑✍✪✞✡✠✤✁✣✞✡✍❱✍✪✠✤✧✭✈✫✕✿✬☎✠✌✘✺✕✗✞✡✞✖✜☎☛✓❨❋✠✌✘✙❈❊✘✙✁✣✞❘❈✛✧✟✕✤✮☎✄✻✁✣✞❃✍✪✘✇✧✟✁✣✘✟✍✌✮✣✞✡✠✖✯✺✵☎☛✌✄✻✁✣✷❖✧✢✬✹✠✌✘✟✍✪✘✔✕✗✘✙✴❴❨❋✘✟✠❱✜✹✧✭✍✌✧❖✍✪✠✤✧✟✁✹☛✪❨①✞✡✠⑨❭✔✁☎✘✼✾❃✁
✧✟☛♣➄➅✁❑✍✪✞✡✠✤✁✣✞✡✍✓➆♣✠✌✘✟✍✪✘✺✕✗✘✙✴♦❉❋➄✳➆❱▲☞✯✙✾❃✮✹✄✶✕✤✮◗✜☎✄✶✠✌✞✖✕✗✍★✍✌✮✣✞❛✍✪✠✤✧✟✁☎☛✤❈✛✄✶☛✌☛✌✄✶✘✙✁❁✘✟❨✦✜☎✧✭✍✌✧✢✧✟❈✛✘✙✁✣✷❖❈✛✧✟✕☞✮☎✄✶✁✣✞✖☛✓✜✹✵✣✠✤✄✶✁✣✷❘✧✟✁✛✄✶✁❑✍✪✞✡✠✤✁✣✞✡✍
☛✌✞✖☛✌☛✌✄✝✘✙✁✰✑■❙❛✮☎✞❂✱✳➄✳➆❬✮✣✞✖✧✟✜✣✞✡✠☞✽✸✕✗✘✙✁❑✍✌✧✟✄✶✁☎☛❯☛✌✞✡✆✟✞✡✠✤✧✟✴✰✄✶❈◗✬✦✘✟✠✌✍✌✧✟✁❑✍⑨✬P✄✝✞✖✕✗✞✖☛❱✘✟❨♦✄✶✁✣❨❋✘✟✠✤❈✛✧✭✍✌✄✶✘✙✁✰✑♣✒✺✵☎✕✡✕✗✞✖☛✌☛✪❨❩✵☎✴P✞✗❲✔✞✖✕✡✵☎✍✌✄✝✘✙✁◆✘✟❨
✍✌✮☎✞✖☛✪✞❛✄✶✁☎☛✪✍✪✠☞✵☎✕✗✍✌✄✝✘✙✁☎☛★✜✣✞✡✬✦✞✖✁☎✜☎☛★✵✣✬✦✘✙✁✸✍✌✮✣✞❯✠✌✞✖✴✻✄✶✧✭✥✹✴✝✞❚✧✟✜☎✜✣✠✌✞✖☛✤☛✌✄✶✁✣✷❘✧✟✁☎✜◗✧✟✕✡✕✗✞✖☛✌☛✌✄✻✁✣✷✢✘✟❨✦✄✶✁☎✜☎✄✝✆✺✄✶✜☎✵✹✧✟✴✙❈✛✧✟✕✤✮✹✄✶✁✣✞✖☛★✘✙✁◗✍✌✮✣✞
✁☎✞✡✍✏✾❱✘✟✠✌❭P▼✺✕✗✘✙✁☎☛✪✞✖➇✔✵✣✞✖✁❑✍✌✴✝✎✟✯✔✞✖✧✟✕✤✮❂❈✛✧✟✕✤✮☎✄✻✁✣✞❛✄✶☛✓✄✶✜☎✞✖✁❀✍✌✄✝⑤✹✞✖✜❁✥✔✎◗✧✟✁✛➄✳➆➈✧✟✜☎✜☎✠✌✞✖☛✌☛✡✯✙✾✿✮☎✄✶✕✤✮◗✄✻☛■✞✖✄✝✍✌✮✣✞✡✠✓⑤☎❲✔✞✖✜⑧❉❩✧✟✁✹✜✫✮✣✞✖✁☎✕✗✞
✵✹✁☎✄✶➇✔✵✣✞✢✍✪✘◆✧✫✷✙✄✝✆✟✞✖✁❹❈✛✧✟✕☞✮☎✄✶✁✣✞❆▲❛✘✟✠✂✞✖✴✶☛✪✞✇✜✣✎✔✁✹✧✟❈✛✄✶✕✡✧✟✴✶✴✝✎◆✧✟☛✌☛✌✄✶✷✙✁✣✞✖✜⑧✾✿✮✣✞✖✁❳✁☎✞✡✞✖✜✣✞✖✜➉❉❋✞✟✑●✷✣✑✝✯✰✥✔✎⑧✧❅✾❃✄✝✠✌✞✖✴✶✞✖☛✌☛❃☛✪✎✺☛✪✍✪✞✖❈❄✯
✧✟✁✹✜◆✍✌✮✣✞✖✁❄✠✌✞✖✧✟☛✌☛✤✄✝✷✙✁✣✞✖✜◆✍✪✘✫✧✟✁✣✘✟✍✌✮☎✞✡✠❃☛✪✎✺☛✪✍✪✞✖❈➊✾❃✮✣✞✖✁◆✍✌✮☎✞✢✄✶✁❀✍✪✞✡✠☞✁✣✞✡✍❛☛✪✞✖☛✌☛✌✄✶✘✙✁◆✞✖✁☎✜☎☛☞▲☞✑⑨✒✺✄✻✁☎✕✗✞❘✞✖✧✟✕✤✮❵➄✳➆➋✧✟✜✹✜✣✠✌✞✖☛✌☛❯✄✶☛❯✧
➌ ÿ ③➍✥P✄✝✍⑨✁✔✵☎❈❁✥❴✞✡✠♣✠✌✞✡✬☎✠✌✞✖☛✪✞✖✁❑✍✪✞✖✜✫✄✻✁◗❨①✘✙✵☎✠❱➎❆③➍✥✹✄✝✍♣⑤☎✞✖✴✶✜☎☛❃❉❋✞✟✑●✷✣✑✝✯✰❍ ÿ✙➏ ✑➐❏✺✑➐❏✺✑✶❍✼▲☞✯ ÿ✭➑✪➒✿➓ ✚✣✯ ÿ✟➔ ✚✣✯ ➔✟→✙➏ ✯ ÿ✟➔✟→ ❈✛✧✟✕✤✮☎✄✻✁✣✞✖☛♣✕✡✧✟✁❅✥✦✞
❚
✧✟✜✹✜✣✠✌✞✖☛✌☛✪✞✖✜❧✑❺➄✳✁◆✬☎✠✤✧✟✕✗✍✌✄✻✕✗✞✟✯☎✍✌✮✣✞✩✁❑✵✹❈❖✥✦✞✡✠❛✄✶☛❚❈✸✵☎✕✤✮❵☛✤❈✛✧✟✴✶✴✝✞✡✠✖✯✺✜☎✵✣✞❘✍✪✘✛✁✣✞✡✍➣✾⑨✘✟✠✤❭◆✕✗✘✙✁❑✆✟✞✖✁❑✍✌✄✝✘✙✁☎☛✡▼☎✞✟✑●✷✣✑✝✯✹✍✌✮✣✞✩⑤☎✠✤☛✪✍❚✘✙✁✣✞
✘✟✠⑨✍✏✾❱✘✇➎❆③➍✥P✄✝✍✓⑤☎✞✖✴✶✜✹☛✓✕✡✧✟✁❅✄✻✜✣✞✖✁❀✍✌✄✶❨①✎❁✍✌✮✣✞✿✁✣✞✡✍➣✾⑨✘✟✠✤❭P✯✔✠✌✞✖✜☎✵☎✕✡✄✻✁✣✷✩✍✌✮✣✞❛✍✪✘✟✍✌✧✟✴✦✁✔✵☎❈❖✥✦✞✡✠✓✍✪✘ ÿ✭➒✳↔✂➓ ❍ → ✯ ➏✟➏✟➏ ✯ ÿ ❍ → ✘✟✠ ÿ❑↕✏➙✿➓
→✟❪ ✯ ❪✟➌✟→ ✬✦✘✙☛✌☛✌✄✝✥P✴✝✞✂✧✟✜✹✜✣✠✌✞✖☛✌☛✪✞✖☛❛✍✪✘✫✥✦✞✢❈◗✘✙✁☎✄✝✍✪✘✟✠✤✞✖✜✰✑⑨❶❳✵☎✴✝✍✌✄✝✬✹✴✻✄✝✞✖✜✫✥✔✎❂✍✌✮✣✞✢✆✟✘✙✴✶✵☎❈✛✞✢✘✟❨★✍✪✠✤✧✭✈✫✕✢✜☎✵☎✠✤✄✶✁✣✷✇✧◗✷✙✄✝✆✟✞✖✁❳✜☎✧✖✎✟✯
✕✗✘✙✁❑✆✟✞✖✁❑✍✌✄✝✘✙✁☎✧✟✴✦☛✪✍✌✧✭✍✌✄✶✕✿✷✟✠✤✧✭✬✹✮☎☛❱✕✡✧✟✁☎✁✣✘✟✍❚✜☎✄✶☛✌✬✹✴✶✧✖✎◗☛✌✵✹✕✤✮❅✍✪✠✌✞✖❈◗✞✖✁☎✜✣✘✙✵✹☛✓✆✟✘✙✴✶✵☎❈✛✞✖☛⑨✘✟❨❧✜✹✧✭✍✌✧❖✘✙✁◆✧❖☛✌✎✔☛✪✍✪✞✖❈➛✾❃✄✶✍✌✮✛⑤✹✁☎✄✶✍✪✞
✠✤✞✖☛✪✘✙✴✶✵✣✍✌✄✝✘✙✁❧✑★❙❃✮✣✞✩➄➅➆➜✮✣✞✖✧✟✜✣✞✡✠❃✕✡✧✭✬✹✍✌✵✣✠✌✞✖☛❛✍✌✮☎✞✩✍✏✾❱✘❅✧✟✜☎✜✣✠✤✞✖☛✌☛✌✧✭✥✹✴✝✞✩❈✛✧✟✕☞✮☎✄✶✁✣✞✖☛❃✄✶✁❀✆✟✘✙✴✶✆✟✞✖✜❵✄✶✁❄✧✟✁❵✄✶✁❑✍✪✞✡✠✤✁✣✞✡✍✿☛✪✞✖☛✌☛✌✄✝✘✙✁❧✑
➝ ➀✪❽✭➞✣➂☞➟✇➠①➂✤➂➃➠❩➡✭➞➤➢■➡✭➞✹➥❩➀✪➡✭➦✰❼❯➀✳➡✙➥➍➡✖➧✤➡✭➦
➨ ✕✗✘✙❈✛❈◗✘✙✁◆✕✗✘✙❈✛❈✸✵☎✁☎✄✶✕✡✧✭✍✌✄✶✘✙✁✛✬☎✠✌✘✟✍✪✘✺✕✗✘✙✴✦✄✶☛♣❙♦✠✤✧✟✁☎☛✤❈✛✄✶☛✌☛✌✄✶✘✙✁❅❷❱✘✙✁❑✍✪✠✌✘✙✴P➆♣✠✌✘✟✍✪✘✺✕✗✘✙✴★❉❩❙✂❷❚➆❱▲☞✑✺❙✿❷❚➆➉✄✶❈◗✬✹✴✶✞✖❈◗✞✖✁❀✍✌☛
✧✸✍➣✾⑨✘✭③➍✾❚✧✖✎❵✕✗✘✙✁☎✁☎✞✖✕✗✍✌✄✝✘✙✁◆✥✦✞✡✍✏✾❱✞✡✞✖✁❄❈✛✧✟✕✤✮☎✄✻✁✣✞✖☛❯✧✟✁☎✜◆✕✗✘✙✁❀✍✌✧✟✄✻✁☎☛❚✍✌✮✣✞✩✁✣✞✖✕✗✞✖☛✌☛✌✧✭✠✤✎❅✄✶✁☎☛✌✍✪✠✤✵☎✕✗✍✌✄✝✘✙✁☎☛⑨❨❋✘✟✠❛✜✣✞✖✴✶✄✝✆✟✞✡✠✤✄✻✁✣✷❁✧✟✁☎✜
☛✌✞✖➇❑✵✣✞✖✁✹✕✡✄✶✁✣✷❂✬✹✧✟✕✌❭✟✞✡✍✌☛✡✑✸❙❛✮✣✞✇✄✶✁☎☛✪✍✪✠☞✵☎✕✗✍✌✄✝✘✙✁☎☛✂✧✭✠✌✞◗✕✡✧✭✬☎✍✌✵✣✠✌✞✖✜❹✄✶✁⑥✧❂⑤✹✴✝✞✸✾❃✮✣✘✙☛✪✞✇✮✣✞✖✧✟✜✣✞✡✠✢✄✻✁☎✕✡✴✶✵☎✜✣✞✖☛❃✍✌✮✣✞◗☛✪✘✙✵✣✠✤✕✗✞◗✧✟✁☎✜
✜☎✞✖☛✪✍✌✄✶✁☎✧✭✍✌✄✝✘✙✁◆✬✦✘✟✠✌✍❛✁✔✵☎❈❁✥✦✞✡✠✤☛✡✯✣✵☎☛✪✞✡❨❩✵☎✴✦❨❋✘✟✠❃❈◗✘✙✁☎✄✝✍✪✘✟✠☞✄✶✁✣✷✇✍✪✠✤✧✭✈✫✕✩⑩✹✘✼✾❇✧✟✁☎✜⑧✜✣✞✡✍✪✞✖✕✗✍✌✄✶✁✣✷✛✬✦✘✟✍✪✞✖✁❑✍✌✄✶✧✟✴❧✧✭✍✪✍✌✧✟✕✤❭✔☛✡✑
➩♣✧✟✕✤✮❹✮✣✘✙☛✌✍❃❈✛✧✟✕✤✮✹✄✶✁✣✞❁✮✹✧✟☛ ÿ❑↕✏➙✸➓❊→✟❪ ✯ ❪✟➌✟→ ✬✦✘✟✠✌✍✌☛✡✯P✜✹✄✝✆✔✄✻✜✣✞✖✜❄✄✶✁❑✍✪✘✫✍✌✮✣✠✌✞✡✞❁✠✤✧✟✁✣✷✟✞✖☛✡✑❛❙❃✮✣✞✢⑤☎✠✤☛✌✍❛✠✤✧✟✁✣✷✟✞✸✄✶✁☎✕✡✴✶✵☎✜☎✞✖☛
❍✡❏ ÿ ✚➫❉ ÿ❑↕✏➭ ▲❄✱✳✾❱✞✖✴✶✴➯③➍❭✺✁✣✘❆✾❃✁➲✬✦✘✟✠✌✍✌☛✌✽❵✁✔✵☎❈❁✥✦✞✡✠✌✞✖✜➳❏❄✍✪✘➉❍✡❏ ÿ✟➌ ▼✓❨①✘✟✠❁✞✗❲✺✧✟❈✛✬✹✴✝✞✟✯✲⑤P✴✝✞◗✍✪✠✤✧✟✁☎☛✪❨❋✞✡✠❖✬✹✠✌✘✟✍✪✘✔✕✗✘✙✴✂❉❋❨①✍✪✬✦▲❘✵☎☛✪✞✖☛
✬✦✘✟✠✌✍ ÿ ❍✭▼❴☛✪✞✖✕✡✵✣✠✌✞❁☛✌✮✣✞✖✴✶✴✓❉❩☛✌☛✤✮P▲❚✵☎☛✪✞✖☛❛✬❴✘✟✠✤✍ ÿ❚ÿ ▼✹✍✪✞✖✴✶✁☎✞✡✍❃✵☎☛✪✞✖☛❯✬✦✘✟✠✌✍ ÿ✟➌ ▼P☛✌❈❁✍✪✬⑧❈✛✧✟✄✶✴❧✘✟✬❴✞✡✠☞✧✭✍✪✞✖☛❛❨❋✠✌✘✙❈➵✬✦✘✟✠✌✍ ÿ✟❪ ▼P✾⑨✞✡✥
☛✌✞✡✠✌✆✔✄✻✕✗✞➲❉❩✮❑✍✪✍✪✬❴▲❁✘✟✬✦✞✡✠✤✧✭✍✪✞✖☛◗❨❋✠✌✘✙❈➸✬✦✘✟✠✌✍✛➎✭❏✺▼❯✬✦✘✟✬ ➌ ❈✛✧✟✄✶✴❱✘✟✬✦✞✡✠✤✧✭✍✪✞✖☛◗❨❋✠✌✘✙❈➸✬✦✘✟✠✌✍❄❍✟❍✡❏✺▼❛☛✪✞✖✕✡✵✣✠✌✞❄✾❱✞✡✥➫✞✖✁☎✕✗✠✌✎✔✬☎✍✌✄✝✘✙✁
❉❩✮❑✍✪✍✪✬✹☛☞▲✿✘✟✬✦✞✡✠✤✧✭✍✪✞✖☛❘❨❋✠✌✘✙❈➺✬✦✘✟✠✌✍✂✚✟✚ ➌ ✑✸❙❃✮✣✞✸☛✌✞✖✕✗✘✙✁☎✜❹✠✤✧✟✁✣✷✟✞◗✕✗✘✙✁☎☛✌✄✻☛✪✍✌☛❘✘✟❨♣✠✌✞✡✷✙✄✻☛✪✍✪✞✡✠✌✞✖✜❹✬✦✘✟✠✌✍✌☛✡✯✰✁✔✵☎❈❖✥✦✞✡✠✌✞✖✜➉❍✡❏ ÿ ✚❵✍✪✘
✚ ➔ ❍ ❪ ❍✭▼✲❨①✘✟✠✂✞✗❲✺✧✟❈✛✬✹✴✝✞✟✯✦✒✣✵☎✁⑧✮☎✧✟☛✿✠✌✞✡✷✙✄✶☛✌✍✪✞✡✠✌✞✖✜⑧✬✦✘✟✠✌✍ ÿ ❏✭✚ ➔ ❨①✘✟✠❘✄✝✍✌☛✂✁✣✞✡✍✏✾❱✘✟✠✌❭❵⑤✹✴✶✞❖☛✪✎✺☛✪✍✪✞✖❈➻❉❩✁✣❨❋☛➃▲☞✑❃❙❛✮✣✞❁✠✌✞✖❈✛✧✟✄✶✁☎✄✻✁✣✷
❍ →✟➌ ➎➼✚s❉ ÿ❑↕➍↔ ▲❁✬✦✘✟✠✌✍✌☛✡✯❚✁❑✵✹❈❖✥✦✞✡✠✌✞✖✜➉✚ ➔ ❍ ❚❪ ÿ ✍✪✘ →✟❪✟❪✟➌✟→ ✯❛✧✭✠✌✞⑧✜✣✎✺✁☎✧✟❈✛✄✻✕❅✘✟✠✫✬☎✠✤✄✝✆✭✧✭✍✪✞◆✬❴✘✟✠✤✍✌☛✡✑❬✿✁☎✬☎✠✌✘✟✍✪✞✖✕✗✍✪✞✖✜❬✬✦✘✟✠✌✍✌☛
❉❩☛✌✘✙✵✣✠✤✕✗✞❖✬✦✘✟✠✌✍✌☛❃✘✟✠✿✜✣✞✖☛✌✍✌✄✶✁☎✧✭✍✌✄✝✘✙✁⑧✬❴✘✟✠✤✍✌☛☞▲❚✧✭✠✌✞❁✬☎✠✤✄✶❈◗✞✢✕✡✧✟✁✹✜☎✄✶✜☎✧✭✍✪✞✖☛❃❨①✘✟✠✂✄✶✁❀✍✪✠☞✵☎☛✌✄✝✘✙✁✰▼✹✍✪✘❑✘❂❈❁✵☎✕☞✮❵✍✪✠✤✧✭✈❅✕❖✘✙✁❳✧✛✷✙✄✝✆✟✞✖✁
✬✦✘✟✠✌✍❯✾✿✄✝✍✌✮☎✄✶✁◆✧◗☛✌✮✣✘✟✠✤✍❯✍✌✄✶❈◗✞✩❨❋✠✤✧✟❈◗✞❖❈✛✧✼✎❄✄✶✁☎✜☎✄✶✕✡✧✭✍✪✞✩✧◗✬✦✘✟✍✪✞✖✁❑✍✌✄✶✧✟✴❧✧✭✍✪✍✌✧✟✕✤❭P✑
➽ ➠✝➾❆➁✇➡✳➚❘➂✡➁✗➂✤➂☞➠➪➡✭➞
➄➅✁❑✍✪✞✡✠✤✁✣✞✡✍❘✍✪✠✤✧✭✈✫✕◗✜✹✧✭✍✌✧❂✧✭✠✤✞✛☛✪✞✖✁❀✍✩✄✶✁s✱✳✬✹✧✟✕✤❭✟✞✡✍✌☛✌✽✺✑◗❙❛✮✣✞❹✱✪☛✌✄✝②✡✞✖✽◆✘✟❨❱✧✟✁⑥✄✻✁❀✍✪✞✡✠✤✁☎✞✡✍❘☛✌✞✖☛✌☛✌✄✝✘✙✁❹✕✡✧✟✁❹✥✦✞◗❈◗✞✖✧✟☛✌✵✣✠✌✞✖✜
✄✻✁➋☛✪✞✡✆✟✞✡✠✤✧✟✴✿✾❚✧✖✎✺☛✡➶➲✜☎✵✣✠✤✧✭✍✌✄✝✘✙✁❾❉❋✞✟✑●✷✣✑✝✯✿✁✔✵☎❈❁✥❴✞✡✠✫✘✟❨✢❈✛✄✶✁✔✵✣✍✪✞✖☛☞▲☞✯❛✁✔✵☎❈❖✥✦✞✡✠✛✘✟❨✩✬P✧✟✕✌❭✟✞✡✍✌☛✡✯✂✧✟✁☎✜➜✁✔✵☎❈❁✥✦✞✡✠✛✘✟❨✩✥❑✎✔✍✪✞✖☛✡✑
❙⑨✎✔✬✹✄✶✕✡✧✟✴✶✴✝✎✟✯✹✍✌✮✣✞✖☛✪✞❖✁✔✵☎❈❁✥❴✞✡✠☞☛❯✾❃✄✶✴✶✴✦✥✦✞❖✕✗✘✟✠✤✠✌✞✖✴✶✧✭✍✪✞✖✜✰✯P✥✹✵✣✍❃✁✣✘✟✍✂✄✶✁❵✧✟✁❑✎❵☛✪✬✦✞✖✕✡✄✝⑤✹✕✩✜✣✞✡✍✪✞✡✠☞❈✛✄✶✁☎✄✶☛✌✍✌✄✶✕✂✾❱✧✼✎✟✑❃➹❃✘❆✾⑨✞✡✆✟✞✡✠✼✯✦✧
❈✫✧✟✕✤✮☎✄✶✁☎✞❛❈✛✧✖✎◗☛✪✞✖✁☎✜✇✍✪✘✙✁✹☛■✘✟❨✦✬✹✧✟✕✌❭✟✞✡✍✌☛⑨✾❃✄✝✍✌✮✇❨❋✞✡✾❬✥✔✎❑✍✪✞✖☛✡✯❑✘✟✠✓✠✤✧✭✍✌✮✣✞✡✠♣❨①✞✡✾❱✞✡✠♣❨❩✵☎✴✶✴➯③✏☛✤✄✝②✡✞✖✜❖✬P✧✟✕✌❭✟✞✡✍✌☛✡▼✺✞✖✄✝✍✌✮✣✞✡✠⑨☛✌✄✝✍✌✵☎✧✭✍✌✄✝✘✙✁
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➴✫➷✖➬❄➮✌➱✝✃✙❐☎➷✟❒✰➷✛❮❴❰✟Ï✪Ð✖❐❑Ï✌➱✶➷✟❒❧➷✭Ï✪Ï✌➷✟Ñ✤Ò❄❰✙❐⑧➷◗➮✪➬✺➮✪Ï✪Ð✖➴❄Ó
Ô❴Õ✭Ö✿×PØ✝Ù✛Ú✙Õ✟Û➍Õ
Ü ❐❑Ï✪Ð✡Ý✤❐✣Ð✡Ï✢Ï✪Ý☞➷✭Þ✫Ñ✛ß☎➷✭Ï✌➷❵➷✭Ý✤Ð✛à✦Ð✖➱✶❐✣✃❄Ñ✗❰✙❒✶❒✝Ð✖Ñ✗Ï✪Ð✖ß➳➷✭Ï✇á✂Ð✡❰✟Ý✌✃✟Ð❂â❳➷✟➮✪❰✙❐✉ã✿❐☎➱✶ä✟Ð✡Ý✤➮✌➱✝Ï➣➬På★➷❄➮✌➷✟➴◗❮✹❒✶Ð◗❰✟æ❱Ï✪Ð✖❐➳Ý✌Ð✖Ñ✗❰✟Ý✤ß☎➮
æ❋Ý✌❰✙➴➺➷◆ß☎➷✭Ï✌➷◆➮✪Ð✡Ï❘❰✼ä✟Ð✡Ý✢Ï✌ç☎Ð✸Ñ✗❰✙è✣Ý☞➮✪Ð✇❰✟æ✓❰✙❐✣Ð◗ç✣❰✙è✣Ý✩➱✶➮✂➮✌ç✣❰❆é❃❐❹➱✶❐❳ê❺➷✭à✹❒✝Ð◆ë✭Ó❁ì❱❰✙❒✶è✹➴✛❐✉ë✇❒✶➷✭à✦Ð✖❒✝Ð✖ß⑧í✹î✖ï❴ð❄ß✣Ð✖❐✣❰✟Ï✪Ð✖➮
Ï✌ç☎Ð❃Ñ✡❒✝❰✺Ñ✌Ò✇Ï✌➱✶➴◗Ð❖ñ❩➱✶❐✫❐❑è☎➴❁à✦Ð✡Ý■❰✟æ✰➮✪Ð✖Ñ✗❰✙❐☎ß☎➮♣æ①Ý✌❰✙➴ò➷✟❐✛❰✟Ý✤➱✝✃✙➱✻❐Pó♦➷✭Ï✓é❃ç☎➱✶Ñ☞ç◗Ï✌ç✣Ð❃➱✻❐❀Ï✪Ð✡Ý✤❐☎Ð✡Ï✓➮✪Ð✖➮✌➮✌➱✝❰✙❐✛à❴Ð✡✃✙➷✟❐❧å❑ô✙õ✺ö☎÷✟íPî✙ø✭ù
❰✟Ý❘ú❀ð✟ù❂Ý✌Ð✡❮✹Ý✌Ð✖➮✪Ð✖❐❑Ï✌➮❯Ï✌ç✣Ð❖ß☎è☎Ý✤➷✭Ï✌➱✝❰✙❐❂❰✟Ý❃❒✝Ð✖❐✣✃✟Ï✌ç❵❰✟æ♦Ï✌ç✣Ð✢➮✌Ð✖➮✌➮✌➱✝❰✙❐❵➱✻❐❂➮✌Ð✖Ñ✗❰✙❐☎ß☎➮✡å❴û☎ü➼ý❅➷✟❐☎ß❂þ✦ü❆ý◆➷✭Ý✌Ð✩Ï✌ç✣Ð✢➮✌❰✙è✣Ý✤Ñ✗Ð❖➷✟❐☎ß
ß☎Ð✖➮✪Ï✌➱✶❐☎➷✭Ï✌➱✝❰✙❐◆❮✦❰✟Ý✌Ï✌➮✖ÿ✣Ý✌Ð✖➮✪❮✦Ð✖Ñ✗Ï✌➱✝ä✟Ð✖❒✝➬❴å✺þ✔ý✣ø❀ö❑í❂➷✟❐☎ß❳û✙ý✺ø❀ö❑í❂➷✭Ý✌Ð✢Ï✌ç✣Ð❁ß✣Ð✖➮✪Ï✌➱✶❐☎➷✭Ï✌➱✶❰✙❐❄➷✟❐☎ß❵➮✪❰✙è✣Ý☞Ñ✗Ð✢❮✦❰✟Ý✌Ï❯❐❑è☎➴❁à✦Ð✡Ý✤➮✡ÿ✣Ý✌✁Ð
➮✌❮❴Ð✖Ñ✗Ï✌➱✶ä✟Ð✖❒✝➬På✔➷✟❐☎ß ✂☎✄ ✝÷ ✆✟✞☎ð❀í❖➷✟❐☎ß ✂☎✠☛✡ í✣ð✢➱✶❐☎ß✹➱✶Ñ✡➷✭Ï✪Ð❚Ï✌ç✣Ð❃❐✔è☎➴❖à✦Ð✡Ý■❰✟æ❴❮✹➷✟Ñ✌Ò✟Ð✡Ï✌➮❱➷✟❐☎ß✛❐✔è☎➴❁à✦Ð✡Ý■❰✟æPà✔➬❑Ï✪Ð✖➮♣Ï✪Ý✤➷✟❐☎➮✪æ❋Ð✡Ý✌Ý✌Ð✖ß
➱✻❐◗Ï✌ç✣Ð❃➮✪Ð✖➮✤➮✌➱✝❰✙❐✰Ó Ü ❐◗Ï✌ç✣Ð❃❮P❒✝❰✟Ï✌➮■à✦Ð✖❒✝❰✼é❖ÿ❀Ï✌ç✣Ð❛ä✭➷✭Ý✤➱✶➷✭àP❒✝Ð❯í✹î✖ï❴ð❖➱✶➮⑨➮✌ç☎➱✝æ❋Ï✪Ð✖ß✇à✔➬ ✌➘ ☞✌✍✏✎✙➘ ➮✪Ð✖Ñ✗❰✙❐✹ß☎➮♣➷✟❐☎ß❅➮✌Ñ✡➷✟❒✝Ð✖ß✫à❑➬❄ë✒✑ ✍✏✎ ÿ
➮✌❰❂Ï✌ç✹➷✭Ï✩Ï✌ç✣✔
Ð ☎✓ Ý✤➮✪Ï✩➮✪Ð✖➮✌➮✤➱✝❰✙❐❹➮✪Ï✌➷✭Ý✌Ï✌➮✢➷✭Ï ✎ Ó ✎ ë ✎✕✍✕✖ ➴✛➱✶❐✔è✣Ï✪Ð✖➮✂❮✹➷✟➮✪Ï❘Ï✌ç✣Ð◗➮✪Ï✌➷✭Ý✌Ï✩❰✟æ⑨Ï✌ç✣Ð✛ç✣❰✙è✣Ý✖ÿ✰➷✟❐☎ß⑥Ï✌ç✣Ð✛❒✻➷✟➮✪Ï✩➮✪Ð✖➮✌➮✌➱✝❰✙❐
➮✌Ï✌➷✭Ý✌Ï✌➮✇➷✭✘
Ï ✗ ☞ Ó ☞✕✖ ë❄➴✫➱✶❐❑è☎Ï✪Ð✖➮✢❮✹➷✟➮✪Ï✸Ï✌ç✣Ð◆➮✪Ï✌➷✭Ý✌Ï✸❰✟æ❛Ï✌ç✣Ð◆ç✣❰✙è✣Ý✖Ó⑥ê♦➷✭àP❒✝Ð✚✙❳➮✌è☎➴✛➴✫➷✭Ý✤✜➱ ✛✡Ð✖➮❁Ï✌ç✣Ð❂ß✹➱✶➮✪Ï✪Ý✤➱✝àPè✣Ï✌➱✝❰✙❐❹❰✟æ❛Ï✌ç✣Ð
ä✭➷✟❒✶è✣Ð✖➮❁➱✶❐➳Ð✖➷✟Ñ☞ç➫Ñ✗❰✙❒✶è☎➴✛❐➈é❃➱✝Ï✌ç➲Ï✌ç☎✢
Ð ✓☎ä✟✁Ð ✏❐✔è☎➴❁à✦Ð✡Ý❁➮✌è☎➴✫➴✛➷✭Ý✌➬❬ñ❩ê♦è☎Ò✟Ð✡➬➋ë ☞✕✖✌✖ ó❁➮✌è✣❮☎❮✹❒✶Ð✖➴◗Ð✖❐❀Ï✪Ð✖ß➈é❃➱✝Ï✌ç➲Ï✌ç☎Ð⑥ë ✎✏✣✥✤
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➷✟❐✹ß ✣✥✤ ❮✦Ð✡Ý✤Ñ✗Ð✖❐❑Ï✌➱✶❒✝Ð✖➮✢æ①❰✟Ý❁Ð✖➷✟Ñ✤ç➉Ñ✗❰✙❒✶è☎➴✛❐➋ñ❩➴✫➱✶❐☎➱✶➴✸è☎➴❄ÿ❧❒✝❰❆é⑨Ð✡Ý❂ë ✎☎✦ ÿ■❒✝❰✼é❱Ð✡Ý❖æ❋❰✙è✣Ý✌Ï✌ç❧ÿ♦➴◗Ð✖ß☎➱✻➷✟❐✰ÿ✲è✣❮☎❮✦Ð✡Ý✢æ❋❰✙è✣Ý✌Ï✌ç❧ÿ
è☎❮☎❮✦Ð✡Ý❃ë ✎☎✦ ÿ✣➴✛➷★✧✣➱✶➴❁è✹➴❅ó☞Ó■ê❛ç✣✢
Ð ✩✪➮✤➱✜✛✡✫Ð ❖
✪ ä✭➷✭Ý✤➱✶➷✭àP❒✝Ð✖➮♣➷✭Ý✌Ð✂➷✟❒✶❒☎ä✟Ð✡Ý✤➬✫ç☎➱✝✃✙ç☎❒✶➬✸➮✪Ò✟Ð✡é❱Ð✖ß❂Ï✪❰✼é❚➷✭Ý✤ß☎➮❱Ï✌ç✣Ð❘è✣❮☎❮✦Ð✡Ý✓Ð✖❐☎ß❧å❑Ï✌ç✣Ð
ß✹➱✶➮✪Ï✌➷✟❐☎Ñ✗Ð❯à✦Ð✡Ï✏é❱Ð✡Ð✖❐✛Ï✌ç☎Ð ☞✏✎ Ï✌ç✛❮✦Ð✡Ý✤Ñ✗Ð✖❐❑Ï✌➱✶❒✝Ð❛➷✟❐☎ß✛Ï✌ç✣Ð❃➴✛★➷ ✧✣➱✶➴✸è☎➴ ➱✶✬➮ ✙✒✭ ➘ ❰✟Ý☞ß✣Ð✡Ý✤➮■❰✟æ✰➴✛➷✭✃✙❐☎➱✶Ï✌è☎ß✣Ð❯✃✟Ý✌Ð✖➷✭Ï✪Ð✡Ý⑨Ï✌ç☎➷✟❐✛Ï✌ç✣Ð
ß✹➱✶➮✪Ï✌➷✟❐☎Ñ✗Ð✂æ①Ý✤❰✙➴òÏ✌ç✣Ð ☞✏✎ Ï✌ç❂❮✦Ð✡Ý✤Ñ✗Ð✖❐❑Ï✌➱✶❒✝Ð❃Ï✪❰✇Ï✌ç✣Ð✩➴✛➱✻❐☎➱✶➴✸è☎➴❄✯Ó ✮✩❐✣Ð✿➮✪Ð✖➮✤➮✌➱✝❰✙❐❂➱✶❐❀ä✟❰✙❒✶ä✟Ð✖ß❅❰❆ä✟Ð✡Ý ➘ ✗✸➴✛➱✶❒✶❒✻➱✝❰✙❐✇à❑➬✔Ï✪Ð✖➮✡ÿ☎➷✟❐☎ß
➷✟❒✻➴◗❰✙➮✪Ï ✍✌✍ ÿ ✎✌✎✌✎ ❮✹➷✟Ñ✌Ò✟Ð✡Ï✌➮✖ÿ✺➷✟❒✶Ï✌ç✣❰✙è✣✃✙ç✛➮✪Ð✖➮✤➮✌➱✝❰✙❐☎➮★❰✟æ■ë✭✱ÿ ✰ ➘ ✙❖à❑➬✔Ï✪Ð✖➮♣➷✟❐☎ß⑧ë✫✙❘❮✹➷✟Ñ✌Ò✟Ð✡Ï✌➮❱é❱Ð✡Ý✌Ð❃➴◗❰✟Ý✤Ð❛Ï✏➬✔❮✹➱✶Ñ✡➷✟❒➪Ó■ê❛ç☎Ð❛❐✣✁Ð ✔✧ Ï
➮✌Ð✖Ñ✗Ï✌➱✝❰✙❐❄❮☎Ý✌❰❆ä✔➱✻ß✣Ð✖➮❛➮✪❰✙➴◗Ð❁ß☎➱✶➮✪❮✹❒✻➷✖➬✺➮⑨❰✟æ❺Ï✌ç✣Ð✖➮✪Ð❁ß☎➷✭Ï✌➷✺ÿ✹é❃➱✶Ï✌ç◆Ï✌ç✣Ð✩❰✟☛à ✲✪Ð✖Ñ✗Ï✌➱✝ä✟Ð✢❰✟æ★Ï✪Ý✌➬✺➱✶❐✣✃✇Ï✪❰✫Ñ✤ç✹➷✭Ý✤➷✟Ñ✗Ï✪Ð✡Ý✤➱✜✛✡✳
Ð ✩✳Ï✏➬✔❮✹➱✶Ñ✡➷✟✥❒ ✪
à✦Ð✖ç☎➷✼ä✔➱✶❰✟Ý✖ÿ☎➮✪❰◗Ï✌ç☎➷✭✴
Ï ✩✪➷✭Ï➣➬❑❮P➱✶Ñ✡➷✟✥❒ ✪✛à✦Ð✖ç☎➷✼ä✔➱✶❰✟Ý❛Ñ✡➷✟❐❵à✦Ð✢❐✣❰✟Ï✪Ð✖ß❵➴◗❰✟Ý✤Ð✢Ý✌Ð✖➷✟ß☎➱✶❒✶➬✟Ó
4
ê♦➷✭àP❒✝Ð✛ë✏✵✷✺✶ ➷✟➴◗❮P❒✝Ð❘❰✟æ★➱✻❐❀Ï✪Ð✡Ý✤❐☎Ð✡Ï❯Ï✪Ý✤➷✭Þ✫Ñ✢ß☎➷✭Ï✌➷✛æ①Ý✌❰✙➴ á✂Ð✡❰✟Ý✌✃✟Ð✸â❳➷✟➮✪❰✙❐❳ã✿❐☎➱✶ä✟Ð✡Ý✤➮✌➱✝Ï➣➬
✂☎✠✝✡ í✣ð
íPî✡ï❴ð ô✙õ✣ö✣÷✙í✹î✙ø✟ù û✣ü➼ý þ✦ü❆ýsþ✺ý✺ø❀ö✔í û✙ý✣ø✙ö✔í ✂✕✄ ÷✝✆✟✞☎ð✙í
C0
DR
✸ ✹✼✻✼✽✿✾✼✹✬❀❁✽✿❂
✺
✾❃❀❁❄✿✹
❂☛✹✿✽✼❅❇❆☎❂✼✻✼❈✼❆
❄❋✹✼✻✼✽✿✾✼✹✬❀❁✽✿❂
✾❃❀❁❄✿❅●✸✟❈❉✸✒❂☛✽
✻✼✽✼❅✼❆
✹❍✹✼✻✼✽✿✾✼✹✬❀❁✽☛❆
✾❃❀■✾✿❂❏✸✟❈☛❄☎✾✼❈❇❄✿❈✼❄✼❆☎✽
❂❇✹✼✻✼✽✿✾✼✹✬❀❁✽☛❆❑✸★✹✼❈✿✻❃❀▲✸★✾❋❄✕❂▼✸★❆✿✻❏✸★❅❊✸★❅❊✸
❆❋✹✼✻✼✽✿✾✼✹✬❀❁✽☛❆
✹✿❅✼✹❃❀■✻✼✻❋✽✿✾✼✹❊✸✏❆❋✹✼❅✿❅☛❄☎❅
✽❍✹✼✻✼✽✿✾✼✹✬❀❁✽☛❆
✾❃❀▲✸★✹❍❄☎❈☛❄✿❆✿✽❏✸★❈✼❄✿✾✿❈
❅❍✹✼✻✼✽✿✾✼✹✬❀❁✽☛❆❑✸✟❂☛✻✿❈❃❀▲✸✼✸◆❄✿❆✿✽✿✻✼✻
❂☛❈✼✹✿❅
❈❍✹✼✻✼✽✿✾✼✹✬❀❁✽☛❆
✾❃❀■✾✿❂❏✸✟❈☛❄☎✾✼❈❇❄✿❈✼❄✼❆☎✽
✻❍✹✼✻✼✽✿✾✼✹✬❀❁✽✼✽
✸★❄✼❄✬❀■✹✼❈❍❆✕❂☛✻✿❈☛❆
❂▼✸★❅✿✻
✸✟✾❍✹✼✻✼✽✿✾✼✹✬❀❁✽✼✽
✾❃❀▲✸★✹❍❄☎❈☛❄✿❆✿✽❏✸★❈✼❄✿✾✿❈
❂ ❂☛✹
✼
✹✿✻☛❄❊✸
✸★❄✼❆✼❆
❄☎✹
❄☎✾✼❅✼✹
❈✿✾
✻✼❆✿✻✼✹
✸★❄✼❆❊✸
✸★❄✿✻✼❈
❈✿✾
✸★✽✿✹❉✸
❄✼❆
❈✼✾
✸✏❄☎❈✼❈
❈✼✾
✸✏❄✿❆✿✽
❈✼✾
❈✼✾
❂✿❂☛✹
✸✏❄✿❆✿❅
✻
✸ ❆
✏
✽
❈✿❂☛❆
✸★❅☛❆☎✻
✸★✾
✽✼❆✿❈✼✾✿✹
❆
✻✼✻
✸★✾
✹✼❄❊✸✼✸
❂☛✻
✹✼❅✼✹
❆☎✻✼✾✼✽
❈✿✹✿❂☛❅✿❅✼❈
❈❉✸★✽
✹✼❆✿✽✿✽❉✸★❈✼❄❊✸
✹✼❅✼✹
❈☛❆✼❆✿❆✿✻
❈❉✸★✽
ê♦➷✭àP❒✝❖
Ð ✙✼✵✷✶✺è☎➴✫➴✛➷✭Ý✌➬❅➮✌Ï✌➷✭Ï✌➱✶➮✪Ï✌➱✶Ñ✡➮❃æ①Ý✌❰✙➴ ➱✶❐❀Ï✪Ð✡Ý☞❐✣Ð✡Ï❯Ï✪Ý✤➷✭Þ✫Ñ✢ß✹➷✭Ï✌➷✛➮✪Ð✡Ï❁ñ✳ë ➘ ✔✗ ÿ ✍✏✎ ❅
✗ ➮✪Ð✖➮✌➮✌➱✶❰✙❐☎➮☞ó
í✹î✖ï❴ð
ô✟õ✣ö✣÷✙íPî✟ø✟ù❇û☎ü➼ý
þ❴ü➼ýsþ✺ý✺ø❀ö❑í❇û✙ý✺ø❀ö✔í
✹✼✻✿✽✼✾✼✹✬❀❁✽☎❂
✾✬❀❁✾✿✾
❄✼❆✿✻
❄✿❆✿✻
❄☎✾
❄☎✾
ï❧î❆ù❴î✖ï✺õ❀ï
✟
✸
✿
✾
◗
✼
✹
✿
✻
✼
✻
✼
✹
✬
❅
❁
❀
✿
✽
❈
✬
✾
❘
❀
☎
❄
✾
☛
❂
✿
✻
✼
✹
✾
☛
❂
✼
✾
☎
❄
❂
✿
❈
✾
✿
✸
★
✸
✼
❈
❅
ú❑✕ø P✣ð❀ö
❂
☛
❂
✼
✾
✿
❆
✼
✾
✬
❅
❁
❀
✿
✾
✻
✬
✾
❁
❀
✼
✹
❄
✼
✻
✿
❅
☛
✽
❆
✼
❈
✿
❅
☛
✾
❆
✿
❈
✾
✟
✸
✼
✹
✼
✽
✻
ú❑✕ø P✣ð❀ö ☎í ❙
❂▼✸✒❂☛✹☛❆❚❀❘❆✿❆
✾✬❀❘❆☎❈❇❄✿✾☛❄✿❆✿❈❍❄✿❆❊✸✟✽✿❂
❈✿✾
✸✟❈✿❂☛✻
ï❴ð❑ô☎î❀÷➼ù
❂
✝
❂
☎
❄
☛
✹
✿
❄
✬
✽
■
❀
✼
❂
✽
✬
✹
❁
❀
✿
❅
❋
❅
▼
❂
✏
✸
☎
❄
☛
❈
❯
❄
☛
❂
✿
❆
✿
✻
✼
✾
✾
✿
❈
✾
✿
✹
✽✼❈❉✸
✼
✄
✄
õ ð❀ö ☎í ❙
❂✝❄☎❈☛❆✿❅✬❀■❂✼✻
❄❊✸❱❀■❂✝❆❯✽☛❄✿❅✼❆☎❂❇❆☎❈☛❄☎✾☛❄
❈✿✾❏✸★✾✿✾✼✾✼✾
õ ✄✼✄ ð❀ö ✸✟✾✿◗
❂☛✹✼❄✿✾❉✸❱❀❘❄☎✽❨✹✿❂✼❈☛❄❚❀❘❆✿✾❨✽☛❆✼❄☎❅✼✽❋✽✼❆✼❄☎✽☛❄●✸★✾✿✾✼✾✿✾●✸★✾✿✾✼✾✼✾
ï✦☎÷ ❳☎î✖ï✺õ❀ï
✻❉✸✟✾❉✸
❄✼❆☎✾✿❂❇❆❲✸★✹✿✻
✹✼❈✿✾
✽✿❅✿❂✝❄
❩❭❬ õ❑ù✦✏
î ❪✙õ✹❴
ð ❫☎÷✔ú➼õ✹ð❛❵☛❜ ✸✟✾✿❂☛❄✿✽✼❈
÷ ✣ð❀í
✂☎✄ ☛✆★✞
✂☎✠☛✡
❄
✻
✸ ✾
★
✸ ❄
✏
❄ ✸
❊
❂✝❆
✽✼❆✿❈✿✾✼✹
✸★✾✼❆✿✽
í✺ð
✾
❆ ✽✿❈
✿
❈✼✽✿✾
✸✟❈✼✹✼❄
❅✿✽✼✻✿❅
❄✼❆❲✸★✽❊✸
✹☛❆✿✽✿✽❉✸✟❈☛❄❊✸
❄✿✻✿❈✼❅✿✽
log(1+ Nbytes[700 to 2000])
3.0
log[1+ Nbytes < 1000)]
2.5
Density
0.5
1.0
1.0
1.5
2.0
2.5
3.0
0.5
0.0
R
0.0
0.5
2611 zeroes
0.0
1.5
2.0
2.5
2.0
1.5
1.0
Density
❝
3.5
3.3
3.4
4.2
3.7
3.8
0.6
0.4
0.2
Density
0.8
1.0
log(1+ Nbytes[> 7000])
4.4
N = 37350 Bandwidth = 0.02509
4.6
T
4.0
3.6
0.0
PA
0.0
0.5
Density
1.0
1.5
log(1+ Nbytes[1800 to 9000])
3.8
3.5
N = 46401 Bandwidth = 0.01422
PE
N = 42824 Bandwidth = 0.01743
5
6
7
8
9
N = 36008 Bandwidth = 0.04908
➃
AF
❞✯❡✜❢✕❣✝❤❥✐❧❦✏♠✬♥♦✐♣❤❥q✝✐✫rts❛✐✫q❛✉✈❡✜✇②①✢✐✫✉❘✇✈❡④③❧⑤✏✇❘✐✫✉⑦⑥✌⑧❭r✜⑥✌❢❊⑨❁❦✷⑩❷❶ ❸❺❹❥❻✼❼❘❽✟❾➀❿❛⑧➁⑥✕❣✝❤⑦✉❘✐♣➂❲⑤✏❤➀⑤✏✇❘✐❖❤❥⑤✌q✝❢✌✐✫✉
➄➆➅➈➇❛➉➊➅➌➋✬➍❯➅➌➋➏➎✌➇❛➐☎➋✬➇✝➎➑➎✌➐✕➒❉➓❋➔➣→❚➒❉➎✌➒
DR
C0
4
↔↕⑥✕✉❘✇❧⑥✌⑧➙✇✈➛✝✐➑➜✏⑤✌r✥❣✝✐✫✉✔⑥✕q✺⑧➁✐✫⑤✏✇✈❣✝❤✈✐✫✉✢➝✁⑥✕r✥r✜✐✫➝✁✇❘✐✫s✺⑥✕q❴❡✥q☎✇❘✐♣❤➀q✝✐♣✇✘✇❘❤❥⑤✏➞✴➝➑s❛⑤✏✇✈⑤➆⑤✏❤✈✐➟➛❛❡✜❢✕➛❛r✥①➆✉❘➠✌✐♣➡✷✐✫st❿✷⑤✌✉✴✉❘✐♣✐✫qt❿✷⑧➢⑥✌❤
✐✁➤✝⑤✌③✘➂❲r✥✐✌❿✕⑧➢⑥✌❤❭✇✈➛❛✐⑦✉✈❡✜➥♣✐➦➜★⑤✏❤➀❡✥⑤✏➧❲r✜✐✫✉❭✉✈➛❛⑥✒➡➨q✘⑤✏➧▼⑥✒➜✌✐➩⑨➈➫☎➭✌➯▼❿✌⑥✌❤❃➲✌➳✝➵✝➸✕➺❊➻✌➼✌➯✔➽❨✉❘✐✫✉✈✉✈❡✥⑥✕q✘s❛❣✝❤❥⑤✏✇✈❡✜⑥✕q➾❿✌➚✕➪✝➶✿➺✝➭❖➽❨q✼❣❛③➹➧❉✐♣❤
⑥✌⑧➦➧✼①✿✇❘✐✫✉✫❿➏➚☎➘❲➸✝➴★➷✝➭☎➺❺➽➬q✼❣❛③➹➧▼✐♣❤➮⑥✌⑧➦➂❲⑤✌➝✈➠✌✐♣✇✈✉➀❾➀➱➑✃⑦➛✼❣❛✉♣❿❐⑤➑➜☛❡✜✐♣➡❒⑥✌⑧❮⑤✌q☎①❺➂❲⑤✌❡✥❤➮⑥✌⑧➦✇✈➛✝✐✫✉❘✐❧➜✏⑤✏❤❥❡✥⑤✏➧❲r✥✐✫✉➮❡✥✉➮r✥❡✥➠✌✐✫r✜①↕✇❘⑥
✉❥➛✝⑥✒➡❒⑤✚➜✌✐♣❤✈①✳➛❛❡✜❢✕➛❺s✝✐✫q❛✉✈❡✥✇➌①➟⑥✌⑧❃➂❉⑥✕❡④q☎✇✈✉❰❡✥q✳✇✈➛✝✐✔Ï❛❤❥✉✈✇➙Ð✼❣❛⑤✌s✝❤❥⑤✌q✿✇♦q✝✐✫⑤✏❤♦✇✈➛✝✐✔⑥✌❤❥❡✜❢✕❡④qt➱➮Ñ✷①➊✉❘✐✫r✜✐✫➝✁✇✈❡✥➜✌✐✫r✜①❯Ò❁➥♣⑥✼⑥✕③❧❡✥q✝❢
❡④q❛Ó☛❿☎⑥✌❤✘Ò❘s✝❤❥❡④r✥r✥❡✥q✝❢♦s✝⑥✟➡➨q❛Ó➹❡✥q☎✇❘⑥➩✇✈➛❛❡✥✉✬❤✈✐♣❢✕❡✜⑥✕qt❿☛⑤✌✉❃⑥✕q✝✐➙s❛⑥✿✐✫✉❃⑥✕qÔ⑤➮❢✌✐♣⑥✌❢✌❤❥⑤✏➂❲➛❲❡✥➝♣⑤✌r▼③❧⑤✏➂➾❿☛✉❘➂▼✐✫➝♣❡✜Ï❲➝❮⑧➁✐✫⑤✏✇✈❣✝❤✈✐✫✉➦➝♣⑤✌q✚➧▼✐
➧▼✐♣✇❘✇❘✐♣❤➮⑥✌➧❊✉❘✐♣❤✈➜✌✐✫st➱✴Õ➙r✜✇❘✐♣❤❥q❲⑤✏✇✈❡✜➜✌✐✫r✜①✌❿❱✇✈➛❲❡✥✉➑Ò❘s✝❤❥❡✥r④r×Ö➌s✝⑥✒➡Øq❛Ó✢⑤✏➂❲➂❛❤✈⑥✕⑤✌➝❥➛❨⑨Ù✉❘✇❘✐♣➂❲✉♦⑥✌⑧➦➂▼⑥✒➡✷✐♣❤❖③❧⑤✏❢✕q❲❡✜Ï❲➝♣⑤✏✇✈❡✜⑥✕q❊❾➙➝♣⑤✌q➆➧▼✐
➝✁⑥✕q❲s❛❣❛➝✁✇❘✐✫s✔➧✼①➹✇❘❤❥⑤✌q❲✉❘⑧➢⑥✌❤➀③❧❡✥q✝❢➙✇✈➛✝✐➦➜★⑤✏❤➀❡✥⑤✏➧❲r✜✐✫✉❐➜☛❡✥⑤❰r✜⑥✌❢✕⑤✏❤❥❡✜✇✈➛❛③✴✉♣➱❐✃➨➛✝✐❮r✜⑥✌❢✕⑤✏❤❥❡✜✇✈➛❛③✴❡✥➝✬✇❘❤➀⑤✌q❛✉❘⑧➁⑥✌❤❥③❧⑤✏✇✈❡✜⑥✕q✘⑤✌r✥r✥⑥✒➡➨✉✯⑥✕q✝✐
✇❘⑥❰➜☛❡✜✐♣➡Ú✇✈➛✝✐➦➂❉⑥✕❡④q☎✇✈✉➏⑥✕q➩✇✈➛✝✐✷✉❥➝✁❤✈✐♣✐✫q➩✐✁Û❉✐✫➝✁✇✈❡✜➜✌✐✫r✥①❖➧✼①❖✉✈➝♣⑤✌q❛q❛❡④q✝❢➩Ü✕Ý✫Þ❁ß✏à❥à❮✇✈➛✝✐❮✉✈➝✁❤✈✐♣✐✫q➩❤❥⑤✏✇✈➛✝✐♣❤✯✇✈➛❛⑤✌q➩➧✼①❖③❧⑤✏❢✕q❛❡✥Ï❛①✼❡④q✝❢
❤❥✐♣❢✕❡✜⑥✕q❛✉✷⑥✌⑧➾✇✈➛✝✐♦✉❘➂❲⑤✌➝✁✐✌➱❭áâ✐➮s❛✐✫✉✈➝✁❤❥❡✜➧▼✐⑦✇✈➛❛❡④✉❃⑤✏➂❛➂❲❤✈⑥✕⑤✌➝❥➛➑❡✥q✢✇✈➛❛❡✥✉✷✉❘✐✫➝✁✇✈❡✜⑥✕q➾➱❭áâ✐➮✉❘✇✈⑤✏❤✈✇➦Ï❛❤❥✉❘✇❃➡➨❡✜✇✈➛✚✉❘⑥✕③✘✐❰➂❲r✜⑥✌✇✈✉❃✇✈➛❛⑤✏✇
➝✁⑥✕q✿➜✌✐♣①➑✇✈➛✝✐❖s❲❡✥✉❘✇❘❤❥❡✜➧❊❣✝✇✈❡✜⑥✕q❧⑥✌⑧✯✇✈➛✝✐♦➜✏⑤✌r✥❣✝✐✫✉⑦➚✕➪✝➶✿➺✝➭❧⑤✌q❲s➟➲✌➳✝➵❛➸✌➺❊➻✌➼✌➯t➱
ã✔ä♣å✝à➀æÙçÙè❰é❊ê✜ß✌ç➁à
❞❐❡✥❢✕❣✝❤✈✐❯❦➣✉✈➛✝⑥✟➡➨✉➊⑤❴➠✌✐♣❤❥q✝✐✫r➩s✝✐✫q❛✉✈❡✥✇➌①❋✐✫✉❘✇✈❡✥③❧⑤✏✇❘✐❍⑨➁áâ✐♣❢✕③❧⑤✌q➬❦✫ë✕ì✏í✼î➟ï☛❡✥r✜➜✌✐♣❤❥③✴⑤✌q❒❦✫ë✌ð✌ñ✕❾↕⑥✌⑧✘✇✈➛✝✐➆➜✏⑤✏❤❥❡✥⑤✏➧❲r✥✐
➫✿➼✿ò❃ó②➚✕➪✝➶✼➺☛➭Ô➽❏➚☎➪✝➶✿➺✝➭✝ô✢➽öõ❭⑨➁➚✕➪✝➶✼➺☛➭☛❾➀❿❲➡➨➛❛✐♣❤✈✐➹õ❭⑨➁÷▼❾➦➽ør✜⑥✌❢❉⑨❁❦✷⑩ ❶ ÷▼❾➀➱➙áâ✐➩❣❛✉✈✐❖✇✈➛✝✐➩✇❘❤❥⑤✌q❛✉❘⑧➁⑥✌❤❥③❧⑤✏✇✈❡✥⑥✕q✳õ❭⑨➁÷t❾❃➽
r✥⑥✌❢❊⑨❁❦❛⑩ ❶ ÷▼❾➏⑧➁⑥✌❤✬⑤✌r✥r☛✇✈➛❛❤✈✐♣✐⑦✉✈❡✜➥♣✐❮➜✏⑤✏❤❥❡✥⑤✏➧❲r✥✐✫✉➏➧▼✐✫➝♣⑤✌❣❛✉✈✐❮⑥✌⑧❊✇✈➛✝✐➨➂❛❤✈✐♣➂▼⑥✕q❛s✝✐♣❤❥⑤✌q❲➝✁✐❃⑥✌⑧▼r✜⑥✒➡❴➜★⑤✌r✥❣❛✐✫✉✯✇✈➛❛⑤✏✇❚✇✈➛✝✐♣①✔❡✥q❛➝♣r✥❣❲s✝✐✌♠
➜✏⑤✌r✥❣✝✐✫✉❃⑥✌⑧t÷➟q✝✐✫⑤✏❤✷✇✈➛✝✐❰r✜⑥✒➡❨✐✫q❛s❧⑥✌⑧❱✇✈➛✝✐➙✉❥➝♣⑤✌r✜✐Ø⑤✏❤✈✐❰q✝⑥✌✇➦✉❘➂❛❤✈✐✫⑤✌s✢⑥✕❣✝✇✷⑤✌✉❃⑧Ù⑤✏❤➦⑤✌✉❃✇✈➛❛✐♣①✘➡❃⑥✕❣❛r④s❧➧▼✐➨➡➨❡✥✇✈➛❧✇✈➛✝✐❰✉✈❡✥③✘➂❊r✜✐
r✥⑥✌❢❊⑨➁÷▼❾❃✇❘❤❥⑤✌q❲✉❘⑧➢⑥✌❤➀③❧⑤✏✇✈❡✜⑥✕q❺⑨ùõ❉úÙ⑨➁÷t❾➦û❇❦✒ü✟÷❱❿❛③➩❣❛➝➀➛➑③✘⑥✌❤✈✐♦✉❘⑥➩⑧➢⑥✌❤⑦✉✈③✴⑤✌r✥r❲÷t❾➀➱❚ý❱❡✜➠✌✐♣➡Ø❡✥✉❘✐✌❿❛➫☎➼✿ò❃ó❘➫✿➭✏➯Ô➽øõ❭⑨Ù➲✕➳☛➵❛➸✌➺❊➻✕➼✏➯❊❾
⑤✌q❲s➊➫☎➼✿ò✷óù➘☛➷✼➺➑➽❏õ❭⑨➁➚☎➘❲➸✝➴✟➷❛➭☎➺✝❾➀➱❚Õ➙r✥rt➝♣⑤✌r✥➝♣❣❛r④⑤✏✇✈❡✜⑥✕q❛✉⑦⑤✌q❛s➟❢✌❤❥⑤✏➂❲➛❛✉⑦⑤✏❤❥✐❖③❧⑤✌s✝✐❖❣❲✉✈❡✥q✝❢✔✇✈➛✝✐➮⑥✌➂▼✐✫q☛Ö➌✉✈⑥✕❣✝❤❥➝✁✐➮✉❘⑥✌⑧➁✇➌➡➦⑤✏❤✈✐
þ❖❿t⑤✫➜✏⑤✌❡✥r✥⑤✏➧❲r✜✐✔⑧➁❤✈⑥✕③ ÿ✝➺✿➺☎➘ ✁✄✂☎✂✝✆☎✆✞✆ ó❥➴★➵❛➸★➯⑦ó②✠
➵ ✟✏➘☛➵✝☎
➼ ✡✿➭✝➴★➺➦ó②➼☎➵✼ò❊➱➨Õö✉✈③❧⑤✌r✥r❐➂▼✐✫⑤✏➠➊⑤✏☞
✇ ☛✚❤✈✍
✐ ✌❛✐✫➝✁✇✈✉➹í✌ñ☛❦✌❦✘➥♣✐♣❤✈⑥✼✐✫✉♣î❱✇✈➛✝✐
q❛✐✁➤✼✇➙r✥⑤✏❤✈❢✌✐✫✉❘✇➙➧✿①✼✇❘✐➹✉❥❡✜➥♣✐➹❡✥✉➹❦✁❝✿ì✿➱Ø✃⑦➛❛✐➹s❛⑤✏✇✈⑤✚⑤✏❤✈✐➹➝♣r✥✐✫⑤✏❤❥r✜①➑✉❘➠✌✐♣➡✷✐✫st❿t⑤✌q❛s↕r✜⑥☛➝♣⑤✌r➏➂❉✐✫⑤✏➠☛✉⑦⑥✌⑧❃➛❛❡✜❢✕➛➟s✝✐✫q❲✉✈❡✜✇➌①➟⑤✏➂❲➂❉✐✫⑤✏❤
⑤✏❤❥⑥✕❣❛q❛sÔ➜✏⑤✌r✥❣✝✐✫✉➦⑥✌⑧Ø➫✿➼☎ò✷óù➪✝➶✼➺☛➭✔⑤✏❤✈⑥✕❣❲q❛s✏✎✼➱ ❝✝✑
❿ ✎✼➱✱ð✼❿❛❝✝➱✥❦✏❿❛❝✝✓➱ ✼
✒ ❿❉⑤✌q❛s✏✼
✒ ➱✥❦✏❿❲➝✁⑥✌❤✈❤❥✐✫✉❘➂▼⑥✕q❛s❛❡✥q✝❢➹✇❘⑥❧➚☎➪☛➶✼➺☛➭✢➽❏ð★❝✔☛☛❿❱❦✁✔
❝ ☛✕☛☛❿
✎✕✒✝☛✕☛
☛ ❿▼✝
ð ☛✕☛✕☛☛❿▼í✌✝
ñ ☛✕☛✕☛
☛ ➱
ã❖æ➢à▲çÙÞ▲æ✗✖✍✘✝çÙæÙß✏å❛à➹✚ß ✙♦à♣ä✁à❥à▲æÙß✏å✳à▲✜æ ✛✟✣
ä ✢★Ü✏Þ▲æÙÜ✞✖✁ê✥ä▲à
Ñ❃⑥✒➤✼➂❊r✜⑥✌✇✈✉❃➝♣⑤✌q✢➧▼✐Ø❣❛✉✈✐♣⑧➁❣❛r☛✇❘⑥✔s❛❡✥✉✈➂❲r✥⑤✫①➩✇✈➛✝✐Ø❤✈✐✫r✥⑤✏✇✈❡✜⑥✕q❛✉❥➛❛❡✜➂✘➧▼✐♣✇➌➡✷✐♣✐✫q✴✇②➡❃⑥➩➜✏⑤✏❤❥❡✥⑤✏➧❲r✜✐✫✉✫î✿⑤✌q❧✐✁➤✝⑤✌③✘➂❲r✥✐Ø❡✥✉✬❢✕❡✜➜✌✐✫q✴❡✥q
❞✯❡✜❢✕❣❛❤✈✐✷íØ⑧➁⑥✌❤➏✇✈➛✝✐➦✇②➡❃⑥❰➜✏⑤✏❤❥❡✥⑤✏➧❲r✜✐✫✉✯➫☎➼✿ò✷ó❁➫✿➭✏➯➩➽❨õ❭⑨Ù➲✕➳☛➵❛➸✌➺❊➻✕➼✏➯❊❾❭⑨➁①✿Ö➌⑤★➤☛❡✥✉▲❾➾⑤✌q❛s✘➫✿➼☎ò✷óù➪✝➶✼➺☛➭♦➽❯õ❭⑨➁➚✕➪✝➶✿➺✝➭☛❾➀➱➏✃⑦➛✝✐✷Ï❛❤❥✉✈✇
Message size variables
R
PE
2
(−1,0]
(3.1,3.2]
(3.4,3.5]
(3.7,3.8]
T
0
PA
1
log(1 + sqrt({duration})
3
4
✤
(4,4.1]
(4.3,4.4]
(4.6,4.7]
(4.9,5]
(5.6,5.8]
(6.5,9]
log(1 + sqrt{Nbyte})
❙❂❚✹❯✕❱✞❲❨❳❬❩❪❭❴❫✳❵✷✻❛✿✞❁❂❃✳❄❨❜✔❝✠❞✞●✠❡❢❏▲✸▼✲✕★✑◆✚❖❅P
AF
✥✧✦✜★✔✩✠✪✬✫✮✭☎✯✱✰✳✲✵✴✷✶✹✸✜✲✕✺✼✻✽✲✕✾❀✿❂❁✞❃❅❄❇❆✔❈✷❉❋❊✕●✑❍✔❁✝■❑❏▲✸▼✲✕★✑◆✚❖❅P❘◗
♦ ✲♣✴rqs✲✔t❂✺✼✉✕✦✈t❋✻✳✺✼✇✠✫❀✭✕①✷❖✕❖②❵✝✉✕✸▼✩✠✫✵✻✳✾③✲✕✪❅④⑤✇✹✦▼q✬✇r❜✔❝✠❞☎●✷❡⑥✦▼✻❅⑦✍✫✍✪✼✲✠⑧✠✺✼✇✠✫❀✻✄✫✵qs✲✔t❋⑨
④❛✇✠✫✍✪✼✫❶❜❂❝✷❞☎●✷❡❷✪✬✉✕t✠★✕✫✵✻✮✾❸✪✬✲✔❹❺❖❶✺✄✲✐❻✕⑩ ✤
(5.2,5.3]
◗
❣✐❤❦❥ ❲✄❧♠❫❦♥
♦ ✲✵✴rqs✲✔t✞✺✼✉✕✦▼t❋✻✳✺✼✇✠✫❀t✠✫s✴✷✺②❖✵✭✷❖✵⑩⑥❵✝✉✕✸▼✩✠✫✵✻
◆❽❼❿❾➀✿❂❁✞❃❅❄❨❜❂❝✷❞☎●✷❡❿➁➂❻☎➃➄④⑤✇✠✫✍✪✼✫➅✿✞❁✞❃❅❄❨❜✔❝✠❞☎●✷❡❷❏➆✸✜✲✕★✑◆✚❖⑤P
➇ ✩ ♦ ✻✄✫✵➈☎✩✠✫✵t✞✺ ♦ ✦▼t❋✻❀✾③✲✕✪⑥✿❂❁✞❃✳❄❬❜❂❝✷❞☎●✠❡➉✉✝✪✼✫❢❼✷♥▼❖❢④⑤✦▼⑨✠✫✕➃➊✫s✴✠qs✫✍✶❋✺✮✾③✲✕✪☞✺✼✇✠✫r✸▼✉✕✻✄✺➌➋❋❵✕✫
◗ ❣✐❤❦❥ ❲✄❧♠❫✄❫❦♥
♦ ✦▼t❋✻✍♥❶➍②✸✜✺✼✇✠✲✔✩✠★✔✇✐✺✼✇❋✦✈✻☞⑨❋✦▼✻✄✶✑✸▼✉✵➎
♦ ✦▼t✹✻✍➃❴✩❋t❋✾❸✲✕✪✼✺✼✩✹t❋✉✝✺✄✫✵✸✜➎➐✦✜✺✣✦✈✻✮t✠✲✕✺⑥❵✕✫✍✪✼➎❿✩❋✻✼✫✍✾③✩❋✸➒✾❸✲✕✪
♦ ✦✈t❿✺✄✫✵t❋⑨➔✺✄✲
♦ ✫❑✺✼✇✠✫❑✪✬✩❋✸✜✫➅✪✬✉✝✺✼✇✠✫✍✪❶✺✼✇✹✉✕t→✺✼✇❋✫➉✫s✴✷qs✫✍✶❋✺✼✦▼✲✔t➊♥❿➣✽✇✠✫
4
✻✬✇✠✲♣④⑤✻⑥✉➏✪✼✫✵✸▼✉✝✺✼✦✜❵✕✫✵✸✜➎➐✻✄✺✼✉ ♦ ✸✜✫r✺✄✪✬✫✵t❋⑨❿✩✠✶➑✩❋t✞✺✼✦▼✸➒✺✼✇✠✫❑✸▼✉✕✻✄✺✣✾❸✫✍④
✲✔✩❋✺✼✸▼✦✜✫✍✪❶⑨✠✫✍✺✄✫✵qs✺✼✦✜✲✔t➊➃✳✻✼✦▼t❋qs✫➅✲✔✩✠✺✼✸▼✦▼✫✍✪✬✻➓✦▼t➑✫✵✉✕q✬✇
DR
♦ ✲♣✴☎✶✹✸▼✲✕✺✽⑨❋✦▼✻✄✶✹✸✈✉✵➎❢⑨✠✲☎✫✵✻⑤qs✲✔t❋➋❋✪✬❹↔✺✼✇✠✫☞★✕✫✵t❋✫✍✪✬✉✕✸➊✺✄✪✼✫✵t❋⑨→◆❽✻✄✫✵✻✼✻✼✦✜✲✔t✹✻↕④⑤✦✜✺✼✇➉❹❶✲✕✪✬✫
♦ ➎☎✺✄✫✵✻✽✺✄✫✵t❋⑨✏✺✄✲r✸▼✉✕✻✄✺✽✸▼✲✔t✠★✕✫✍✪➙❫❦➃✹✉✕t❋⑨
C0
✺✼✇✹✉✝✺✮❹❶✲✔✻✄✺✮✻✼✫✵✻✼✻✼✦✜✲✔t❋✻➌✸✈✉✕✻✄✺✮✸✜✫✵✻✼✻❀✺✼✇✹✉✕t→❻✝❼✏❹➛✦✈t✞✩✠✺✄✫✵✻➛◆➜✿✞❁✞❃❅❄✄✿❂❡✕■➔❾➝❖✝♥✓①➉✾③✲✕✪✣➞ ✤✔➟
✻✼✫✍✺❦❫❦➃✑✉✕t❋⑨❑✺✼✇❋✉✝✺⑤✪✬✉✝✺✼✇✠✫✍✪✽✾③✫✍④➡✻✄✫✵✻✬✻✼✦✜✲✔t❋✻☞◆❽✉ ♦ ✲✔✩✠✺✽❼✷♥ ✤✔➟
✲✕✾➠✺✼✇✠✫➛✻✄✫✵✻✬✻✼✦✜✲✔t❋✻☞✦✈t✐✺✼✇❋✦▼✻➌⑨❋✉✝✺✼✉
✇✠✫✍✪✼✫♠❫✳✸▼✉✕✻✼✺↕✲♣❵✕✫✍✪❀✻✼✦➢✴➉✇✠✲✔✩✠✪✬✻☞◆➜✿✞❁❂❃✳❄✄✿❂❡✕■✐❾➤❻✔❫❦♥
➣✽✇✠✫❶✶❋✪✼✫✍✶➥✲✔t❋⑨❋✫✍✪✬✉✕t❋qs✫⑥✲✕✾❅✪✼✫✵✸✈✉✝✺✼✦✜❵✕✫✵✸✜➎✐✻✼✇✠✲✕✪✼✺➌✻✄✫✵✻✼✻✬✦✜✲✔t❋✻➌q✍✉✕t
♦ ✫❶✻✄✫✍✫✵t➦✦✈t➐✥➄✦▼★✔✩✠✪✼✫➛❻✠◆❽✉❂❫❦➃❴④❛✇❋✦▼q✬✇➐⑨✹✦▼✻✄✶✹✸▼✉♣➎☎✻②✺✼✇✠✫
✻✼✫✵✻✼✻✼✦✜✲✔t➛⑨✹✩✠✪✬✉✝✺✼✦✜✲✔t❋✻➧✉✕✻❅✇✠✲✕✪✬✦✜⑦✍✲✔t✞✺✼✉✕✸❋✸▼✦✈t✠✫✵✻✧✺✼✇❋✉✝✺✱✫s✴✷✺✄✫✵t❋⑨❶✾③✪✼✲✔❹➂✺✼✇✠✫✽✻✄✺✼✉✝✪✼✺❅✺✼✦▼❹❶✫↕✺✄✲✮✺✼✇❋✫↕✫✵t❋⑨➛✺✼✦▼❹➛✫✕♥➄✰✳✫✵q✍✉✕✩❋✻✄✫❛✺✼✇✠✫✵✻✄✫
⑨✹✉✝✺✼✉➉✉✝✪✼✫➛qs✲✔✸▼✸✜✫✵qs✺✄✫✵⑨➐✦▼t➨✺✼✇✠✫❶✲✕✪❦⑨✠✫✍✪➌✦▼t➨④⑤✇❋✦▼q❦✇➏✺✼✇❋✫✍➎➏✲✷q✍q✍✩✠✪✼✪✼✫✵⑨➩➃➊✺✼✇✠✫❶✻✄✫✵✻✼✻✼✦✜✲✔t➐✻✼✺✼✉✝✪✼✺❀✺✼✦▼❹❶✫✵✻❀✪✬✉✕t✠★✕✫❶✾③✪✼✲✔❹➫✺✼✦▼❹➛✫➓❼
◆ ♦ ✲✕✺✄✺✄✲✔❹➆✸✈✦▼t✠✫♠❫✧✺✄✲
✤ ①☎♥✓①✔➭☎❖r◆❽t✠✫✵✉✝✪✬✸✜➎➛✺✼✇❋✫②✫✵t✹⑨❑✲✕✾➯✺✼✇✠✫➌✇✠✲✔✩✠✪s❫❦♥✧✥✧✦✜★✔✩❋✪✼✫☞❻✠◆ ♦ ❫❅✻✼✇✠✲♣④❛✻➠✺✼✇✠✫➌✻✼✉✕❹❶✫➌✦▼t✠✾③✲✕✪✬❹➛✉✝✺✼✦✜✲✔t➩➃ ♦ ✩❋✺
✫✵✉✕q❦✇➏✸✈✦▼t✠✫➌✦▼✻↕✻✼✇❋✦▼✾❸✺✄✫✵⑨
♦ ✉✕q✼➲❑✺✄✲❢❼✷♥✱➳➵✦✜✺✼✇✏qs✲✔t✞✺✼✦▼t☎✩✠✲✔✩❋✻✼✸▼➎➅❹❶✲✔t✹✦✜✺✄✲✕✪✼✫✵⑨✏⑨❋✉✝✺✼✉✷➃✑✺✼✇✠✫☞✻✄✫✵✻✼✻✬✦✜✲✔t✏⑨❋✩✠✪❦✉✝✺✼✦✜✲✔t➉✸▼✦▼t✠✫✵✻➠④✳✲✔✩❋✸▼⑨
qs✲✔t✞✺✼✦▼t☎✩✠✫➅✶✹✉✕✻✄✺✮✺✼✇❋✫➅qs✫✵t❋✻✼✲✕✪✬✦▼t✠★✏✶➥✲✔✦▼t✞✺➅◆❽✦✈✸▼✸▼✩❋✻✄✺✄✪❦✉✝✺✄✫✵⑨➦✉✕✻➓✉❷✪✼✫✵⑨➑⑨✠✲✕✺✄✺✄✫✵⑨➑✸▼✦▼t✠✫r✦▼t❿✥✧✦✜★✔✩✠✪✬✫➅❻ ♦ ❫❦♥➨➸✽✫✵✸▼✉✝✺✼✦✜❵✕✫✵✸▼➎➐✾❸✫✍④
✻✼✫✵✻✼✻✼✦✜✲✔t❋✻✧✉✝✪✼✫❶➺✄qs✫✵t❋✻✼✲✕✪✼✫✵⑨❋➻➛◆❽✦✗♥➼✫✕♥✜➃✔✫✵t✹⑨✠✫✵⑨⑥④⑤✦✜✺✼✇❋✦▼t✮✺✼✇✠✫✽✇✠✲✔✩✠✪s❫❦➃❪✪✬✫✍➽❋✫✵qs✺✼✦▼t✠★❀✺✼✇✠✫➠✾❽✉✕qs✺➧✺✼✇❋✉✝✺➒❹❶✲✔✻✄✺➧✻✄✫✵✻✼✻✬✦✜✲✔t❋✻✧✉✝✪✼✫↕✻✼✇✠✲✕✪✼✺✍✯
①✕✭☎♥✓❻ ➟
✲✕✾➩✺✼✇✠✫❀✻✄✫✵✻✼✻✼✦✜✲✔t✹✻✳✸✈✉✕✻✄✺✄✫✵⑨❑✸✜✫✵✻✼✻❅✺✼✇❋✉✕t➉❻✝❼⑥✻✼✫✵qs✲✔t❋⑨❋✻✍♥➒✥✧✦✜★✔✩✠✪✬✫❛➾❶✻✼✇✠✲♠④⑤✻➠✉
♦ ✉✝✪✼✶✹✸✜✲✕✺❅✲✕✾➯✺✼✇✠✫❀t✞✩✹❹
♦ ✫✍✪✳✲✕✾❴✉✕qs✺✼✦✜❵✕✫
✻✼✫✵✻✼✻✼✦✜✲✔t❋✻➧⑨✹✩✠✪✬✦▼t✠★❛✫✵✉✕q✬✇➅❻✝❼❪➚❬✻✄✫✵qs✲✔t❋⑨❢✻✬✩ ♦ ✻✄✫✍✺✧✲✕✾➪✺✼✇❋✦▼✻➄✲✔t✠✫s➚❬✇✠✲✔✩✠✪➧✶➥✫✍✪✬✦▼✲☎⑨➉◆❽✉❀✺✼✦▼❹❶✫➠✾③✪✬✉✕❹❶✫↕✲✕✾➊❻✝❼➌✻✄✫✵qs✲✔t❋⑨❋✻✱✦▼✻✧✻✄✫✵✸✜✫✵qs✺✄✫✵⑨
✺✄✲➛❹❢✦▼t❋✦▼❹➛✦▼⑦✍✫✽✺✼✇✠✫➌qs✲✕✪✼✪✼✫✵✸▼✉✝✺✼✦▼✲✔t
♦ ✫✍✺❨④❅✫✍✫✵t❷qs✲✔✩❋t❂✺✼✻↕✦✈t➅✉✕⑨✝➶✄✉✕qs✫✵t✞✺ ♦ ✉✝✪✬✻❦❫❦♥➒➣⑤✇✠✫➌❹❶✫✵✉✕t➉t✞✩✹❹
♦ ✫✍✪➠✲✕✾❴✉✕qs✺✼✦✜❵✕✫☞✻✼✫✵✻✼✻✼✦✜✲✔t❋✻
✦✈t➦✉✕t❂➎✐✲✔t✠✫❑❻✝❼❪➚❬✻✄✫✵qs✲✔t❋⑨➑✦▼t✞✺✄✫✍✪✼❵❪✉✕✸❅⑨❋✩✠✪✬✦✈t✠★❑✺✼✇❋✦▼✻☞✇✠✲✔✩❋✪✮✦▼✻✮①✕✭✕❻☎➃➧④⑤✦▼✺✼✇➐✻✄✺✼✉✕t❋⑨❋✉✝✪✬⑨→⑨✠✫✍❵✷✦▼✉✝✺✼✦✜✲✔t❘❖s➾✔❼✷➃➧✻✼✩✠★✕★✕✫✵✻✼✺✼✦▼t✠★➏✉
✪✬✲✔✩✠★✔✇❿✩✠✶✹✶➪✫✍✪✏➺✼❻♠➚❬✻✬✦✜★✔❹➛✉❷✸✈✦▼❹➛✦✜✺✼➻❑✲✕✾➌❖✵❻❪➾❂❻➏✻✄✫✵✻✼✻✼✦✜✲✔t✹✻✍♥✐➹ ✰✳✫✵q✍✉✕✩❋✻✼✫r✺✼✇✠✫✵✻✼✫❢t✞✩✹❹
✺✄✪❦✉✕t❋✻✄✾③✲✕✪✬❹➛✉✝✺✼✦✜✲✔t→❹➛✉✵➎
♦ ✫✍✪✬✻☞✉✝✪✬✫➨➘✬➴✕➷☎➬✑➮③➱❦➃➧✉❷✻✼➈☎✩❋✉✝✪✼✫❢✪✼✲✞✲✕✺
♦ ✫❢✉✝✶❋✶✹✪✼✲✕✶❋✪✬✦▼✉✝✺✄✫✕⑧✧✻✄✫✍✫➅➣❴✩✠➲✕✫✍➎✃◆✚❖✵①✔➭✕➭✕❫❦♥➨➣✽✇✠✫❢❹➛✫✵✉✕t❿✉✕t❋⑨→✻✄✺✼✉✕t❋⑨❋✉✝✪✬⑨→⑨✠✫✍❵✷✦▼✉✝✺✼✦✜✲✔t➐✲✕✾↕✺✼✇✠✫
✻✬➈✞✩❋✉✝✪✬✫✮✪✼✲☎✲✕✺✼✻⑤✲✕✾➧✺✼✇❋✫⑥qs✲✔✩❋t✞✺✼✻②✉✝✪✼✫➓❻✝❼✷♥✓✭✕①➅✉✕t❋⑨➨✭☎♥✓✭✕❻☎➃➊✪✼✫✵✻✄✶➥✫✵qs✺✼✦✜❵✕✫✵✸✜➎✕➃✑✪✼✫✵✻✼✩❋✸▼✺✼✦▼t✠★❢✦▼t❷✉✕t➏✉✝✶❋✶✹✪✼✲✵✴✠✦▼❹➛✉✝✺✄✫➓✩✠✶❋✶➥✫✍✪❢➺✼❻♠➚
✻✬✦✜★✔❹➛✉❀✸▼✦▼❹➛✦▼✺✼➻⑤✲✕✾➧◆✗❻✝❼✷❐✓✭✕①➊P❑❻➯❒➜✭☎❐✓✭✕❻✔❫❇❮❀❏▲❖✵❻✕⑩✔➭✞➃❂❵✕✫✍✪✼➎➓q✍✸✜✲✔✻✄✫↕✺✄✲✮✺✼✇✠✫✽✸▼✦▼❹➛✦▼✺➯✲✔t➓✺✼✇✠✫↕✪✬✉♣④✃qs✲✔✩❋t✞✺✼✻✍➃❂✻✼✦✈t❋qs✫➠✺✼✇✠✫✽❰➄✲✔✦▼✻✼✻✄✲✔t
⑨✹✦▼✻✄✺✄✪✬✦ ♦ ✩✠✺✼✦✜✲✔t➏④⑤✦✜✺✼✇➐✉✏✇❋✦▼★✔✇➦❹❶✫✵✉✕t➦✦▼✻✮✉✝✶❋✶❋✪✼✲♣✴✷✦▼❹❢✉✝✺✄✫✵✸✜➎➐Ï➌✉✕✩❋✻✼✻✼✦▼✉✕t➩♥ Ð➏➣✽✇✠✫➛❹➛✉❪✴✠✦▼❹⑥✩❋❹Ñt☎✩❋❹
♦ ✫✍✪➌✲✕✾↕✻✄✫✵✻✬✻✼✦✜✲✔t❋✻➌✦▼t
✉✕t✞➎➦✲✔t✠✫➅✲✕✾↕✺✼✇✠✫✵✻✄✫✐❖✵✭✝❼➐❻✝❼❪➚❬✻✄✫✵qs✲✔t❋⑨➔✦▼t✞✺✄✫✍✪✼❵✝✉✕✸▼✻✣✦✈✻❢❖✵✭✕①✕①☎➃ ♦ ✫✵✸✜✲♠④➂✺✼✇✠✫➔➺✼❻♠➚❬✻✼✦✜★✔❹❢✉➏✸▼✦✈❹➛✦✜✺✼➻✷♥✏➣✽✇❋✦✈✻☞✶✹✸✜✲✕✺⑥qs✲✔✩❋✸▼⑨
❹➛✲✔t❋✦✜✺✄✲✕✪✼✫✵⑨✐qs✲✔t✞✺✼✦▼t✞✩❋✲✔✩❋✻✼✸✜➎➨✦▼t❷✺✼✦✈❹❶✫✕➃➩⑨✠✪✼✲✕✶❋✶✑✦▼t✠★❢✲✔✸✈⑨✠✫✍✪
♦ ✫
♦ ✉✝✪✬✻②✲✝Ò➔✺✼✇✠✫❶✸✜✫✍✾❸✺✚➚❬✻✬✦▼⑨✠✫⑥✲✕✾❅✺✼✇✠✫➓✶✹✸▼✲✕✺✍➃➩✉✕t❋⑨➐✉✕⑨❋⑨❋✦▼t❋★rt✠✫✍④
♦ ✉✝✪✬✻②✲✔t✐✺✼✇✠✫➓✪✬✦✜★✔✇✞✺✍⑧➩✺✼✇✠✫❶✩✠✶❋✶➥✫✍✪➌❻♠➚❬✻✼✦✜★✔❹➛✉❑✸▼✦▼❹❢✦✜✺⑤④✳✲✔✩❋✸▼⑨✐t✠✫✍✫✵⑨➨✺✄✲
♦ ✫✣✺✼✉✕✦✈✸✜✲✕✪✼✫✵⑨➨✺✄✲✏✻✄✶➥✫✵q✍✦✜➋✹q⑥✇✠✲✔✩✠✪✬✻②✲✕✾❅✺✼✇✠✫❶⑨❋✉✵➎✕➃
60
20
30
40
50
40
30
T
10
0
10
PE
PA
0
0
20
R
Elapsed time since start of session
50
60
50
40
30
10
20
Session start time
Ó
60
0
10
20
30
40
50
60
Ô✧Õ✜Ö✔×❋Ø✼Ù☞Ú☎Û✳Ü☎Ù✵Ý✼Ý✼Õ▼Þ✔ß➅à✹×✠Ø✬á✝â✼Õ✜Þ✔ß➅ã✹ä✜Þ✕Time
â✍å➒æ✧á✕ß✠Ù✵ä➒ç❽á❂è✳à✹Õ▼Ý✄ã✹ä▼á♣é☎Ý✳â✼ê✠Ù☞ä▼Ù✵ß✠Ö✕â✼ê➅Þ✕ë❴â✼Session
ê✠Ù☞Ý✼Ù✵duration
Ý✼Ý✼Õ✜Þ✔ß➊ì✠Ý✄â✼á✝Ø✬â✼Õ▼ß✠Ö❶á✝â↕â✼ê✠Ù☞á✕ísâ✼×❋á✕ä
â✼Õ✈î❶Ù☞ñ✷å
AF
Ý✼â✼á✝Ø✼â⑤â✼Õ▼î➛Ù✕å✽æ➄á✕ß❋Ù✵ä✳ç③ï➪è❦ì➥á❢Ý✬ê❋Õ✜ë③â✄Ù✵à✏ð✕Ù✍Ø✬Ý✼Õ▼Þ✔ß✏Þ✕ë➧ã✹á✕ß✠Ù✵ä✳ç❽á❂è❦ì➪à✹Õ▼Ý✄ã✹ä▼á♣é☎Ý✽â✼ê✠Ù⑥ä▼Ù✵ß✠Ö✕â✼ê✏Þ✕ë➧â✼ê✠Ù⑥Ý✄Ù✵Ý✼Ý✼Õ▼Þ✔ß➊ì✑Ý✄â✼á✝Ø✬â✼Õ▼ß✠Ö❢á✝â
à✹á✵é✷Ý✽Þ✕ë➄â✼ê✠Ù☞ò✳Ù✍Ù✍ó✑ì✹á✕ß✹à✏Ý✄Ù✵á✕Ý✄Þ✔ß❋Ý⑤Þ✕ë❴â✼ê❋Ù☞é✕Ù✵á✝Ø✵å
ô②Õ✈Ý✄â✄Ø✬Õ✜ï✹×❋â✼Õ✜Þ✔ß➐Þ✕ë⑤Ý✄Ù✵Ý✬Ý✼Õ✜Þ✔ß➑à❋×✠Ø✬á✝â✼Õ✜Þ✔ß❿ï✞é➦Ý✼Ù✵Ý✼Ý✼Õ✜Þ✔ß➑Ý✄â✼á✝Ø✼â⑥â✼Õ▼î❶Ù❑í✍á✕ß➔á✕ä▼Ý✄Þ❷ï➥Ù➅à❋Õ▼Ý✄ã✹ä✈á✵é✕Ù✵à❿á✕Ý➓á➨Ý✼í✍á✝â✄â✄Ù✍Ø❶ã✹ä✜Þ✕â
4
✁➏á✝Ø✬í❦ê✠Ù✍â✄â✄Ù✄✝✂ ñ✕ñ✆❿
☎ ç③ã➩å✞✝✟✞☎ è❦å✡✳✠ Ù✵í✍á✕×❋Ý✄Ù➓â✼ê✠Ù➓Ý✼ê✠Þ✕Ø✼â
☞☛
✆✌
Õ✈ß❋Ý✄â✄Ù✵á✕✎
à ✍➯Õ➜å➼Ù✕å✜ì✱ç③õ✹ö✵÷✑ø✹ì✑✏✞ý✓✒✕✔✖✏✞ø✕þ✹è❦å✡✗❇ë✱Þ✔ß❋Ù➓ä▼Þ✞Þ✕ó✷Ý❀ð✕Ù✍Ø✼é✐í✍ä✜Þ✔Ý✄Ù✵ä✜é➨á✝â➌â✼ê❋Õ▼Ý②ã✹ä✜Þ✕â✍ì➊Þ✔ß✠Ù❶Ý✄Ù✍Ù✵Ý✮á✕ß➐á✕ä▼î❶Þ✔Ý✄â➌ã➥Ù✍Ø✼ë③Ù✵ísâ✼ä✜é
Ý✼â✄Ø✬á✕Õ✜Ö✔ê✞â✱ä▼Õ▼ß✠Ù➠Þ✕ë➥ã➥Þ✔Õ▼ß✞â✼Ý➧á✝✕
â ✏❂✘
ý ✒✕✔✖✏✞ø✝þ✄✙✚✂☎å✛✂ Ó✢✜ ☛✮ï➪Ù✍â❨ò❅Ù✍Ù✵ß➅Ý✄Ù✵Ý✼Ý✬Õ✜Þ✔ß❶Ý✄â✼á✝Ø✼â❅â✼Õ▼î❶Ù✵Ý➧Þ✕ë✣✂✕Ú❀â✄Þ✤☛✢✥✮î➛Õ▼ß☎×✠â✄Ù✵Ý➧Õ▼ß✞â✄Þ☞â✼ê❋Õ▼Ý
ê❋Þ✔×✠Ø➠Þ✕ë❴á✕ísâ✼Õ✜ð✷Õ✜â❬é✕å❅Ô➄Õ▼Ö✔×✠Ø✼✡
Ù ☛✠ç③ï➪è✱✟
Ù ☎
✦ ã✑á✕ß❋à❋Ý➠â✼ê❋Õ▼Ý✳ã✹á✝Ø✬â❅Þ✕ë➄â✼ê✠Ù❀ã✹ä✜Þ✕â✍ì✷ò⑤ê✠Ù✍Ø✬Ù❛â✼ê❋Õ✈Ý✳ê❋Þ✕Ø✬★Õ ✍✧ Þ✔ß✞â✼á✕ä➊Ý✄Ù✍â↕Þ✕ë➯ã➥Þ✔Õ▼ß✞â✼Ý➠ê❋á✵ð✕Ù
ï➥Ù✍Ù✵ßrÕ▼à✠Ù✵ß✞â✼Õ★✩❋Ù✵à➓ò⑤Õ✜â✼ê❢Ø✼Ù✵✫
à ✪✭✬✯✮
✮ Ý✄é✷î✮ï➥Þ✔ä▼Ý✵å✱✽✰ ê❋Ù⑤Ý✼×❋Ý✄ã✑Õ▼í✍Õ✜Þ✔×❋Ý✧ã➥Þ✔Õ▼ß✞â✼Ý➧ë❽á✕ä▼ä✹Õ▼ß✞â✄Þ☞â❨ò❅Þ⑥Ö✕Ø✼Þ✔×✠ã✹Ý✵Û➄á✕ßrÙ✵á✝Ø✬ä✜é➓Ö✕Ø✼Þ✔×✠ãrÞ✕ë
✂ Ó✢✜ ã➥Þ✔Õ▼ß✞â✼Ý✮ç❽î❶Ù✵á✕ß❷ù✔ú✠û✠ü✔õ✹ö✔ý✕þ✲✙✴✳✆☎☛ å ñ✵➅☛ Ý✄Ù✵ísÞ✔ß✹à❋Ý❦è❦ì✑á✕ß✹à❷á➛ä▼á✝â✄Ù✍Ø②Ö✕Ø✼Þ✔×✠ã❷Þ✕ë✶✝✷☛✢✂❶ã➥Þ✔Õ▼ß✞â✼Ý✣ç❽î❶Ù✵á✕ß➏ù✕ú✠û✠ü✔õ✑ö✕ý✕þ✸✙
✳✆☛☎å✞✝✷☛➓Ý✼Ù✵ísÞ✔ß❋à❋Ý❦è❦å✺②✹ ä▼ä✻☎✓✝✂ ñ⑥ã➥Þ✔Õ▼ß✞â✼Ý❅á✝Ø✬Ù❛ò✳Ù✍ï➅Ý✼Ù✵Ý✼Ý✼Õ✜Þ✔ß❋Ý❀ç❽à✠Ù✵Ý✄â✼Õ✈ß❋á✝â✼Õ✜Þ✔ßrã➪Þ✕Ø✬â ✜ ñ❂è❅á✕ß❋à➅á✝Ø✬Õ▼Ý✄Ù❛ë❸Ø✼Þ✔î➀á⑥Ý✼Õ▼ß✠Ö✔ä✜Ù②Ý✄Þ✔×✠Ø✬ísÙ
✗✚æ Ó ☛✢✂✼☎ Ó ì❋à✠Ù✵Ý✄â✼Õ▼ß✹á✝â✼Õ✜Þ✔✄ß ✚✗ æ✽☎✓☛✢✝✥ ñ✕ñ✷ì❋á✕ß❋à➅Ý✄Þ✔×✠Ø✬ísÙ②ã➥Þ✕Ø✼â✾✍✝ ñ✕ñ✕ñ✕ñ✷å✿➤
✹ î➛❁á ✚❀ Þ✕Ø➠í✬ê✹á✕ä▼ä✜Ù✵ß✠Ö✕Ù❀Õ▼Ý✱Õ✈ß➛â✼ê✠Ù❀à✠Ù✍ð✕Ù✵ä✜Þ✕ã✹î➛Ù✵ß❂â✳Þ✕ë
Ý✼â✼á✝â✼Õ▼Ý✄â✼Õ▼í✍á✕ä❂✪✄Ý✼ísØ✼Ù✍Ù✵ß❋Õ▼ß❋✵
Ö ❶
✮ á✕ä✜Ö✕Þ✕Ø✬Õ✜â✼ê❋î❢Ý↕â✄ÞrÕ▼à❋Ù✵ß❂â✼Õ✜ë③érÝ✬×❋í✬ê❃✄✪ Õ✈ß❂â✄Ù✍Ø✼Ù✵Ý✼â✼Õ▼ß✠Ö✵❶✮ ã✹á✝â✄â✄Ù✍Ø❦ß❋Ý⑤Õ▼ß➉à✹á✝â✼á➛ã✹ä✜Þ✕â✼Ý⑤Ý✼×❋í✬ê❷á✕Ý✽â✼ê❋Õ▼Ý
Þ✔ß❋Ù✕ì❋Ý✄Þ➓â✼ê❋á✝â➠ã➪Þ✕â✄Ù✵ß✞â✼Õ▼á✕ä➊á✝â✄â✼á✕í✬ó☎Ý⑤â✄Þ➛ß✠Ù✍â❬ò✳Þ✕Ø✼ó✷Ý↕í✍á✕ß❑ï➪Ù➌Õ▼à❋Ù✵ß❂â✼★Õ ✹
✩ Ù✵àrÕ▼ßrØ✼Ù✵á✕ä➥â✼Õ▼î➛Ù✕å✺⑤❄ Þ♠ò❅Ù✍ð✕Ù✍Ø✵ì✑Ý✼Õ▼ß❋ísÙ❀á✕ß➉Õ▼❅ß ✹✩ ß✹Õ✜â✄Ù
ß☎×❋î✣ï➥Ù✍Ø↕Þ✕ë❴ã✹á✝â✄â✄Ù✍Ø❦ß❋Ý↕í✍á✕ß➉Þ✷í✍í✍×✠Ø✵ì❋á❶Ø✼Ù✵á✕Ý✼Þ✔ß❋á✝ï✹ä✜Ù➌ísÞ✔ä▼ä✜Ù✵ísâ✼Õ▼Þ✔ß➉Þ✕ë➄ä✈Õ✜ó✕Ù✵ä✜é➛ã✹á✝â✄â✄Ù✍Ø❦ß❋Ý✽î⑥×❋Ý✄â↕ï➥Ù➌Õ▼à✠Ù✵ß✞â✼Õ★❋
✩ Ù✵à➊ì✷Ý✄Þ❶â✼ê❋á✝â
Ý✼â✼á✝â✼Õ▼Ý✄â✼Õ▼í✍á✕ä❅Ý✼Õ✜Ö✔ß❋Õ★✑
✩ í✍á✕ß❋ísÙ➓Þ✔ß➦â✼ê✠Ù✵Õ✜Ø✣à✠Ù✍â✄Ù✵ísâ✼Õ✜Þ✔ß❿í✍á✕ß→ï➥Ù❇✞❆ ×✹á✕ß❂â✼Õ★✹✩ Ù✵à➊å✄②✹ ä✜Ö✕Þ✕Ø✬Õ✜â✼ê❋î❢Ý❀ò⑤ê❋Õ▼í❦ê➦Õ▼à✠Ù✵ß✞â✼Õ✜ë③é❷â✄Þ☎Þ➏î➛á✕ß✞é
ë❽á✕ä▼Ý✄Ù☞ß❋Ù✍Ö✔á✝â✼Õ✜ð✕Ù✮ã✹á✝â✄â✄Ù✍Ø❦ß❋Ý↕ò✳Þ✔×❋ä▼à❑Ø✼Ù✵Ý✼×✹ä✜â↕Õ▼ß➉á✕ß❷×❋ß✹ß✠Ù✵ísÙ✵Ý✼Ý✼á✝Ø✼é❑ß☎×❋î✮ï➥Ù✍Ø↕Þ✕ë✧Ý✼ê☎×✠â✼à✠Þ♣ò❛ß❋Ý✽á✕ß❋à➉Ý✄Ù✍Ø✬ð☎Õ▼ísÙ✣à✠Ù✵ß❋Õ▼á✕ä▼Ý✵å
❈✾❉✟❊★❋✢●■❍■❏✢❑❅▲✭▼✓❍✛◆❖▲✄P✭❉✷●■◗✿❉✭❉✟❑❘◆❙❋✢❍❯❚❱▲❲❏✖❳✯▲❨❍★❩❁❉❭❬✼❋✆❚❨❍■❋✘P✟❊✞❉❨▲
Ô➄Õ▼Ö✔×✠Ø✼Ù Ó Ý✼ê✠Þ♠ò⑤Ý↕á➓Ý✄Ù✍Ø✬Õ✜Ù✵Ý➠Þ✕ë❴ã✹ä✜Þ✕â✼Ý➠Þ✕ë➄â✼ê✠Ù❀â✄Ø✬á✕ß❋Ý✄ë③Þ✕Ø✬î❶Ù✵à❫❪✓❴❙☎
❵ õ✠ø⑥ð❪á✝Ø✬Õ✈á✝ï✹ä✜Ù✕ì❖❂✏ ý✘✒✕✔❛❴❅✞❵ õ✠ø✹ì✞ð✕Ù✍Ø✬Ý✬×❋Ý✳â✼ê✠Ù➌â✄Ø✬á✕ß❋Ý✖✌
ë③Þ✕Ø✬î❶Ù✵❲
à ❪✓❜✹ü❅❝✼✠
❞ ø❂õ❀ð❪á✝Ø✬Õ✈á✝ï✹ä✜Ù✕ì✓❂✏ ý✘✒✕✔❛❜❙❞☎õ❭✙ ä✜Þ✕Ö➥ç✖✝✘✬✄❡ ❢✄❣✐❤❦❥♠❧❅♥♠✼♦ è❦ì❂Õ▼ß✣ë❸Þ✔×✠Ø✧Ý✄Ù✍ã✹á✝Ø❦á✝â✄Ù↕Ø✬á✕ß✠Ö✕Ù✵Ý✍å✧æ✧á✕ß✠Ù✵ä➊ç❽á❂è➄à❋Õ▼Ý✄ã✹ä✈á✵é✷Ý
Þ✕ï✑Ý✄Ù✍Ø✼ð✝á✝â✼Õ✜Þ✔ß❋Ý❀ë③Þ✕Ø☞ò⑤ê❋Õ▼í❦ê♣❂
✏ ý✘✒✿✔q❜❙☎❞ õ✏Ø❦á✕ß✠Ö✕Ù✵Ý➌ï➥Ù✍â❬ò✳Ù✍Ù✵❃
ß ✝❶á✕ß❋à✫➐
✂ çr❪✓✑❜ ü❙❝✼✠❞ ø❂õ✏ï➥Ù✍â❬ò✳Ù✍Ù✵ß❿Ú❑á✕ß❋às✔☎ ñ❂❱è ➧✍ Õ✜â➌Ý✼ê❋Þ♣ò⑤Ý☞á
Ý✬í✍á✝â✄â✄Ù✍Ø❅á✝Ø✼Þ✔×❋ß✹à⑥á❀Ö✕Ù✵ß❋Ù✍Ø✬á✕ä▼ä✜é⑥Õ▼ß❋ísØ✼Ù✵á✕Ý✼Õ✈ß✠Ö❛â✄Ø✬Ù✵ß❋à➊ì❂Ý✼Õ✈î❶ã✹ä▼★Õ ✹
✩ Ù✵à☞Õ▼ß❶æ✧á✕ß✠Ù✵ä➩ç③ï➪è❴ò⑤Õ▼â✼ê✣ï➥Þt☎✦ ã✹ä▼Þ✕â✧à✹Õ▼Ý✄ã✹ä▼á♣é☎Ý↕ç③â✼ê✠Ù✽ä✈á✝ï➪Ù✵ä✈Ý
Õ✈ß➉â✼ê✠✡
Ù ✦❦✌❬á✼✠
✦ Õ▼Ý⑤á✝Ø✼Ù✣â✼ê✠Ù✣Ý✬á✕î❶Ù✮á✕Ý❛â✼ê✠Þ✔Ý✄Ù✣Õ✈ß➉ã✹á✕ß✠Ù✵ä✳ç❽á❂è❦ì➪î⑥×❋ä✜â✼Õ✜ã✑ä▼Õ✜Ù✵à➅ï✞é✉✍✝ ñ❂è❦å⑤æ✧á✕ß✠Ù✵ä✳ç❽í♣è↕Ý✼ê❋Þ♣ò⑤Ý❛Þ✔ß✠Ù✮Ý✼ê❋Þ✕Ø✼â❛ä▼Õ✈ß✠Ù
Þ✕ë✕✂✢✕
✥ Ú➅ã➪Þ✔Õ✈ß❂â✼Ý❛á✝Ø✼Þ✔×❋ß❋à✉❂✏ ý✘✒✕✔❛❜❙☎❞ õ✲✙✈☎✂ å✇✳✢✐
✳ çr❪✓✹❜ ü❅❝❁❋❞ ø❂✸õ ①✈✂✢✂ Ó è❛á✕ß❋♣
à ✞
✏ ý✓✒✕✔❛❴❅☎❵ õ✷ø②✙③☎☛ å ✜ ➐
✂ çr❪✵❴❅✞❵ õ✠ø✸①④✝✢✝✷✂☎ì✇✳✆✥✢✂✔è❦ì
á✕ä✈ä✑Þ✕ë➄ò⑤ê❋Õ✈í✬ê➉ísÞ✔î❶Ù➌ë③Ø✼Þ✔î à✠Ù✵Ý✄â✼Õ✈ß❋á✝â✼Õ✜Þ✔ß❑ã➥Þ✕Ø✼â ✜ ñ✏ç③ò❅Ù✍ï➥è❦ì✹Ý✄Þ✔×✠Ø✬ísÙ✯✗✚⑤
æ ✕
✂ Ú✝ñ✓❪✳ ñ✷ì➪á✕ß❋à➉à✠Ù✵Ý✄â✼Õ▼ß✹á✝â✼Õ✜Þ✔ß⑥✗❇æ⑤☎✢☎❂Ú➉ç❽Ý✄Ù✵í✍×✠Ø✼Ù
ò✳Ù✍ï➔Ù✵ß❋ísØ✼é☎ã❋â✼Õ✜Þ✔ß✉✷
⑦ õ☎✵õ ❜✎✔⑧ è❱✱✍ á✕ß❋à➑á✕ß✠Þ✕â✼ê✠Ù✍Ø❶Ý✼ê✠Þ✕Ø✼â➓Ý✄Ù✍â⑥Þ✕ë❛Ú✢❷✥ ã➪Þ✔Õ✈ß❂â✼Ý⑥á✝Ø✼Þ✔×❋ß❋⑨
à ✞
✏ ý✓✒✕✔❛❜❙✷❞ õ✉✙⑩✂☎å ✜ ❘
☎ çr❪✵✑❜ ü❅❝❁❋❞ ø✔õ✫①
Þ✕ë✱ã➪Þ✔Õ✈ß❂â✼Ý✍ì➧ç③õ✑ö✍÷➪ø❋ì➥ù✔ú✷û❋ü✕õ✑ö✔ý✝þ✑è❦ì✑á✕Ý❀Ý✼ê✠Þ♠ò⑤ß➨Õ▼ß❷ÿ➐Ù✍Ö✔î❢á✕ß➐á✕ß❋à
DR
C0
Ý✼Ù✵Ý✼Ý✼Õ✜Þ✔ß❋Ý➯à✠Þ✔î➛Õ▼ß❋á✝â✄Ù✱â✼ê❋Õ▼Ý➊ã✹ä▼Þ✕â✍ì❪Ô✧Õ✜Ö✔×✠Ø✬Ù ✠ç❽á❂è➩Ý✼ê❋Þ♣ò⑤Ý➯â✼ê❋Õ▼Ý➩Ý✼á✕î➛Ù➒ã✹ä✜Þ✕â✍ì❪ï✹×✠â➯×✹Ý✼Õ▼ß✠Ö➠â✼ê✠Ù✳ä✜Þ✕Ö ➜â✄Ø✬á✕ß❋Ý✄ë③Þ✕Ø✬î❶Ù✵à☞Þ✕Ø✬à❋Õ▼ß❋á✝â✄Ù
PE
800
600
0
T
200
PA
400
#(concurrent sessions in 30−sec period)
1000
R
1200
❶
0
15
30
45
60
AF
❹❷ ❸★❺✵❻✻❼❾❽✶❿❅➀➂➁➄➃✆❼❾➅❖➆★➇✢➈✺➇✢➉➊➈❾➋❅❽❂➌✘❻✻➍✤➎➊❽♠❼✺➇✢➉✣➏➐❽✷➏❾➏✭❸★➇✵➌❇❸✞➌❇➏✭❻✻➑♠➑✟❽✷➏❾➏❾❸★➒✢❽➔➓✆→✼➣↔➏➐❽✷➑✟➇✵➌✻↕❫➌❅➇✵➌❙➣q➇❁➒✢❽♠❼✭➆✞➃✆➅✻➅❖❸➙➌❅❺✡❸✞➌✘➈➐❽♠❼❾➒✼➃✢➆➙➏✺↕✻❻❅❼✭❸➙➌❅❺
➈❾➋✻❽❲➋❅➇✵❻✻❼❲➛✖➜✷➝✆→②❸✞➌✘➈➐❽♠❼❾➒✆➃✢➆✞➏❱➞❱➟✾➠✶➋✻❽❲➍➡❽✷➃✢➌✁➌❦❻✻➍❭➎➊❽♠❼➢❸✞➏❂➤✢➝✢➓s➛■➏➐➈❾➃✢➌❖↕✻➃✆❼✭↕✁↕❅❽♠➒❦❸➙➃✆➈❾❸★➇✵➌s➥④➜✟❿✵→✓➞❱➦✎➧❙❸★❽✷➆✞↕✻❸✞➌✻❺❇➃✢➌✁❻✻➅✻➅➊❽♠❼
➓❁➣↔➏✭❸★❺✵➍❇➃❇➆✞❸➙➍❇❸★➈✕➇✢➉❹➃✆➅❖➅✻❼❾➇✷➨❅❸✞➍❇➃✆➈➐❽✷➆✞➧➩➜✷➓✼❿✓➓❦➟➄➠✶➋❅❽✡➍❇➃✼➨❅❸✞➍❲❻✻➍➫➇✢➉✑➈❾➋✻❽✷➏➐❽✄➜✷➝✆→✄➑✟➇✵❻❖➌✓➈❾➏❂❸✞➏✯➜✷➝✢➤✢➤❦➟
Session start time
2.271
(b)
2.270
++
+
+
+ ++
++
+ + ++++
+++ +
+ + ++ +
++ ++ + +
+ + + +++ + +
+++ +++++ +++++++++++++
++++++++++++++++++++ +++++
+++++++ +++ +++++ + ++++++++++
+ ++ ++ + +++ ++
+
2.269
2.268
2
log.len
oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
+
+
+
+
+
+
++
++
+
+ ++
++ ++++ +++++++ + +++++++ ++++++
++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++
+ +++++++++++++++ +++++++++++++++++ +++++++++++
+++
+++++++++
+++
+++++++++
++
+
++
++++
0
2.267
1
log.len
3
C0
DR
4
4
(a)
0
10
20
30
40
50
60
25
30
35
40
45
50
55
60
❷❹❸★❺✵❻✻❼❾❽➔➭❦➀✺➯✿➆★➇✢➈✿➇✢➉✑➆★➇✢❺✆➣q➈➐❼✭➃✢➌✻➏➐➉r➇✢❼✭➍➡❽✷↕⑥➲✵➳❙➵✻➸✢➺✐➻✵➼✆➽✎➦❙➾✘➼✓➚✕➪➐➾✓➶✢➽➊➦✘➃✢➏✕➃✤➉■❻✻➌✻➑✟➈❾❸★➇✵➌❘➇✢➉➹➏➐❽✷➏❾➏✭❸★➇✵➌❘➏❾➈❾➃✆❼❾➈✿➈❾❸➙➍➡❽✢➟✺➘✾➇✢➈➐❽➢➈❾➋❅❽
➃✢➆➙➍➡➇✵➏➐➈✯➅➊❽♠❼❾➉r❽✷➑✟➈❾➆★➧➩➋❅➇✢❼❱❸★➴♠➇✵➌✓➈❾➃✢➆☞➆✞❸✞➌❅❽➷➇✢➉✕➅➬➇✵❸➙➌✓➈❾➏✯➃✆➈❲➾✘➼✘➚✿➪➐➾✓➶✢➽✉➥➮➝❦➟✛➝✢➱✢✃✢➭✸➎➊❽♠➈↔❐✕❽♠❽✷➌♣➈❾❸✞➍➡❽✷➏✤➝✢➓❫➃✢➌✻↕✫➭✵❶❫➍❇❸➙➌✘❻❅➈➐❽✷➏
❸➙➌✓➈➐➇➡➈❾➋❅❽✤➋❅➇✵❻❅❼✷➟
Session start time
Session start time
+ : SIP = 65246, DIP = 45900, DPort = 80, SPort = 10000
NByte vs Npacket
3
2
3
1.0
1.2
1.4
1.6
1.8
0
R
1
1
2
log.byte
4
4
5
5
❒
2.0
12
13
14
15
16
17
18
19
20
2.4
2.6
2.8
7.5
7.0
6.5
log.byte
+ +
++++ ++
+++++++
++++
+
+
++++ +++
++
+
+
+
++
+ ++
+++++ + + +
++
++ +
+++++ ++ +
+++ +
+++
++ + +++ ++ ++ ++ +++++++++++ +++
+++
++++
+++
++++ ++++ ++ ++++++++++++
+
++++
+
+
+
+
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+
+
++
+
++++++ + ++
+++ +
+
+
+
+
+
+++
++++
+++++
+
+
+
+++
+++++
+
++++
+++
+++++
++
+
+
+
+
+
+
+
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+
+
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+
+
+
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+
+
+
++++++++++++++ ++
++ ++++++
+++++++++++++++
+++
++
++
+
++++
+
++
++
+ ++
++++ ++++ ++ ++++ + +
++
+
+ ++ +
+
+++
+++
++
+
++
++
+++++++++ +
+++
+++
+
++
+++
++
++
+++
+
+++++++++++++
++++++++++
++
+
+
+++
+
++++++ ++ + + + ++ ++
++
+++
+
++
+++
++
+++++
+
+++++ +
++++
+++
++
++
+
+++
++
+++++ +++ + + ++ +
+
++
+
+
+++++
+
+
+
++
+
+
+
+
+
+
+
+
+
+
+
++
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+
++
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++++ + + + +
+
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+++
+
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+
+
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++
+
+ ++ +++++++ ++
+
+
+
+
+
+
++++++ ++ + + +++ +
+
+++ + ++++ +
+
+++
++ + +++++
+
+
++++++
+ + + +++
+
+
+
+
+
3.0
3.2
3.4
3.6
3.8
4.0
T
2.2
6.0
PA
2.0
5.5
5.5
5.0
4.0
4.5
log.byte
6.0
PE
log.pkt
119,322 observations
3.0
❮❹❰★Ï✵Ð✻Ñ❾Ò❭Ó❦Ô☞Õ☞Ö✞×✢Ø❾ÙÚ×✢Û❂Ü✓Ý✘Þ✕ß❛à❅á✘â❅ã➷ä✢Ò♠Ñ✭Ù✭Ð✻Ù❂Ü✘Ý✓Þ✕ß❛å❙æ❙â✐ç❅❰✞è❫é✄Ù✭Ð❅ê✻Ñ✭ë✢è❅Ï✢Ò✷Ù➄×✢Û➢Ü✓Ý✘Þ✿ßqå❙æ❦â➬ì
AF
log.pkt (14,612 observations)
log.pkt (800 observations)
DR
C0
4
í✢î✢ï✵ð ë✢è✻ñ✉Ü✓Ý✘Þ✕ß❛à❅á✘â❅ã❘ò î ì✛Ó✼é♣órô✵à❅á✘â❅ã❫õ③ö ❒ ç✛÷✼é✻ø ð ç✣ë✢Ö✞Ö➹×✢Û➂ù✾ú✻❰✞û❱ú✸û✟×✵ü➡Ò❲Û❯Ñ✭×✵ü⑩ý✻þ❁ÿ❫é ❒ ÷✵ö✘✁ç ➬þ✼ÿ î Ó✢Ó❙ø í ✁ç ❦ÿ❅✄Ý ✂❦â
✆❒ ☎ ì✁Õ❹ë✢è❅Ò✷Ö✞Ù❫ó■û ð ë✢è❖ñ ó■ñ ð ë✢Ö✞Ù➐×✁Ù❾ú❅×tù✈Ø❾ú✻ë✆Ø❲Ø❾ú❅Ò❘ñ❖ë✆Ø❾ë✲Ûr×✢Ñ❲ú❖❰★Ï✵ú♣ä✆ë✢Ö✞Ð❅Ò✷Ù✤×✢Û➷Ü✘Ý✓Þ✕ßqå❦æ❙â✁✞Ù ❖✝ Ö✞❰★Ø❭ë✢Ö✞×✵è❅Ï✲Ø ù✿×✉Ö✞❰✞è✻Ò✷Ù
ù❂❰★Ø❾úsë✆✝✟✝✻Ñ❾×✡✠❙❰✞ü✄ë✆Ø➐Ò✷Ö☞☛➩Ð✻è❖❰★Ø✯Ù❾Ö★✌× ✝➊Ò✤ê✐Ð❅Ø➢ù✾❰★Ø❾úsñ✻✎❰ ✍➊Ò♠Ñ❾Ò✷è✘Ø➢❰➙è✓Ø➐Ò♠Ñ✭û✟Ò✏✝❖Ø❾Ù✏✑✑ Ø❾ú✻Ò➷Ð✟✝✟➊✝ Ò♠Ñ➢Ù❾Ò♠Ø✡û✟×✢Ñ❾Ñ❾Ò✷Ù✒➊✝ ×✵è✻ñ✻Ù➢ü❇ë✢❰➙è✻Ö☞☛✸Ø➐×
ñ✻Ò✷Ù➐Ø❾❰✞è✻ë✆Ø❾❰★×✵è✔✓ Õ ë✢ñ✻ñ✻Ñ❾Ò✷Ù❾Ù➐Ò✷Ù í✢î ó■Ù✭ü❭Ø✒✝❫ü❇ë✢❰✞Ö ð ç ❒✆☎ órù✿Ò♠ê ð ç❅ë✢è✻ñ✄é✢é✓÷❫ó■Ù➐Ò✷û♠Ð❅Ñ❾Ò➔ù✿Ò♠ê ð ✑✘Ø❾ú❅Ò➢Ö★×❁ù✿Ò♠Ñ➄Ù➐Ò♠Ø➄û✟×✢Ñ❾Ñ❾Ò✷✒Ù ✝➊×✵è✻ñ✻Ù
ü❇×✵Ù➐Ø❾☞Ö ☛❇Ø➐×✕➊þ❁ÿ î✢î é❅✗ì ✖✶ú❅Ò➢ñ❅Ò✷è✻Ù➐Ò➢Ù➐Ò♠Ø➄×✢Û î✢î ✝➊×✵❰✞è✘Ø❾✘Ù ✝➊×✵❰✞è✘Ø❾Ù➄❰✞è❘❮❹❰★Ï✵Ð✻Ñ❾Ò➢Ó❅ó■ñ ð ó❛✚÷ ✙ ✜é ✛✚Ü✘Ý✘Þ✿ßqå❦æ❙✢â ✛⑤✚÷ ✙ ❒✵ð Ö✞❰✞Ò❂è❅Ò✷ë✆Ñ
Ø❾ú✻Ò❲Ö✞❰➙è❅Ò➷Ü✘Ý✓Þ✕ßqà❙á❦â❙ã❫ò✈✤÷ ✣➫Ü✘Ý✓Þ✕ßqå❦æ❙â✐ç➬ë✢è✻ñ➩é✓÷✄×✢Û☞Ø❾ú❅Ò✷ü û✟×✢Ñ❾Ñ❾Ò✷Ù✒➊✝ ×✵è✻ñ➩Ø➐×✤❦ÿ❅✄Ý ✂❦â❫é✓÷❦✥ì ✖✶ú❅Ò✤Ò✦❦✠ Ø➐Ò✷è✘Ø➢Ø➐×⑥ù❂ú✻❰✞û✭ú
Ù✭Ð✻û✭ú ✧ë ✝❖ë✆Ø➐Ø➐Ò♠Ñ✭è û✟×✵Ð✻Ö✞ñ✉×❙û♠û♠Ð❅Ñ❭ê✚✉
☛ û✭ú✻ë✢è❖û✟Ò❘ë✢Ö★×✵è❅Ò❘Ù❾ú❅×✵Ð✻Ö✞ñ♣ê➬Ò❇❰➙è✓ä✢Ò✷Ù➐Ø❾❰✞Ï✵ë✆Ø➐Ò✷ñ✎★
ç ✝✐ë✆Ñ❾Ø❾❰✞û♠Ð✻Ö✞ë✆Ñ❱☞Ö ☛➩❰★Û✕Ø❾ú❅✏Ò ☛s×❙û♠û♠Ð❅Ñ✤ë✢Ö✞Ö
ù❂❰★Ø❾ú✻❰✞è❫ë➡ÛrÒ♠ù Ù➐Ò✷û✟×✵è✻ñ❖ÙÚ×✢Û❹Ò✷ë✢û✭ú✸×✢Ø❾ú✻Ò♠Ñ❲órØ❾ú❅Ò✷Ù➐Ò✤ñ✻❰✞ñ❫è❅×✢Ø ð ì
✖✑Ð❅Ñ❱è✻❰✞è❅Ï➄è❅×tù Ø➐×✶Ø❾ú❅Ò➂Ñ❾Ò✷Ö➙ë✆Ø❾❰★×✵è✻Ù❾ú✻✩❰ ➔
✝ ê➊Ò♠Ø ù✿Ò♠Ò✷è✤è✘Ð✻ü✤ê➊Ò♠Ñ➊×✢Û❦ê✚☛❦Ø➐Ò✷Ù♠ç❁✚ô ✪❦á✘â❅ã✻ç❁ë✢è✻ñ✡Ù➐Ò✷Ù❾Ù✭❰★×✵è✯ñ✻Ð❅Ñ✭ë✆Ø❾❰✞×✵è✎✡ç ✫✄✬✭✂✟✮✢✰â ✯✵✆Ý ✱✎ç
❮❹❰★Ï✵Ð✻Ñ❾Ò✷Ù➄ö✘ç ❒ ç❅ë✢è✻ñ ï ✝❖Ö★×✢ØÚÜ✓Ý✘Þ✿ßqà❅á✘â❅ã✤ä✢Ò♠Ñ✭Ù❾Ð✻Ù✶Ü✘Ý✓Þ✕ß✖Ü✘✌ã ✱➊✳ç ✲✻Ñ✭Ù➐Ø✿Û❯×✢Ñ➄Ø❾ú❅Ò➔Ò✷è✓Ø❾❰✞Ñ❾Ò➔ñ❖ë✆Ø❾ë❲Ù❾Ò♠Ø➢ó■❮❹❰★Ï✵Ð❅Ñ✭Ò✯ö ð ç✻ë✢è✻ñ❘Ø❾ú❅Ò✷è
❰➙è ❒ Ù➐✏Ò ✝❖ë✆Ñ✭ë✆Ø➐ÒsÙ❾Ð❅ê❖Ñ✭ë✢è❅Ï✢Ò✷Ù⑥ñ❅✏Ò ✲❖è❅Ò✷ñ ✳ê ☛⑤Ø❾ú❅Ò✁❰➙è✓Ø➐Ò♠Ñ❾ä✆ë✢Ö✞Ù✄×✢Û②Ü✘Ý✓Þ✕ßqà❙á❦â❙ã✽ë✢è✻ñ✚Ü✘Ý✓Þ✕ß✖Ü✘✌ã ✱➊✴
ì ✖✾ú✻❰✞Ù✄✆ë ✝✵✝✻Ñ❾×✵ë✢û✭ú Ø➐×
ä❙❰★Ò♠ù✾❰➙è❅Ï✲Ø❾ú❅Ò❫ñ✻ë✆Ø❾ësû♠ë✢è✽ê➊Ò❘û✟×✵è✻Ù❾❰➙ñ❅Ò♠Ñ❾Ò✷ñ✽ë✢Ù➷Ñ❾×✵Ð❅Ï✵ú✻☞Ö ☛s✷Ò ✶❦Ð✻❰★ä✆ë✢Ö★Ò✷è✘Ø✤Ø➐×✉ë✹✸➐ñ❅Ñ✭❰✞Ö✞☞Ö ✺↔ñ❅×tù✾✵è ✻✸✆ë ✝✟✻✝ Ñ❾×✵ë✢û❱ú✎ç➂ù✾ú❅Ò♠Ñ✭Ò⑥ë✢Ö✞Ö
ñ❖ë✆Ø❾ë❘ë✆Ñ❾Ò➷ñ✻❰✞Ù✞✝❖Ö✞✷ë ☛✢Ò✷ñ➩❰✞è✸Ø➐Ñ❱ë✢è✻Ù❾Ö✞ë✆Ø➐Ò✷ñ➩Ñ❾Ò♠Ï✵❰★×✵è✻Ù❂×✢Û✺Ø❾ú❅Ò➷Ö★×✢Ï✢Ï✢Ò✷ñ✁ä✆ë✆Ñ✭❰✞ë✆ê❖Ö★Ò✷Ù✷ì✽✼✿Ò✷û♠ë✢Ð❖Ù➐Ò➷×✵è❅Ò✤ù✕×✵Ð✻Ö✞ñ✲✦Ò ✠✚✝➊Ò✷û✟Ø➢Ö★×✵è❅Ï✢Ò♠Ñ
Ù❾Ò✷Ù❾Ù❾❰★×✵è✻Ù➔Ø➐×❫ê➊Ò❲ë✢Ù✭Ù➐×❦û♠❰➙ë✆Ø➐Ò✷ñsù✾❰★Ø❾ú✁ü➡×✢Ñ❾Ò➷✳ê ☛❦Ø➐Ò✷Ù♠✾ç ✝❖Ö✞×✢Ø❾Ù❂×✢Û❭Ü✘Ý✓Þ✕ßqà❙á❦â❙ã②❀
ò ✿❂❁❄➬❃ ó✖✽ø ✣❆❅ ❇❉❈❋❊✳●✒❍ ð ä✢Ò♠Ñ✭Ù✭Ð✻Ù✡Ü✓Ý✘Þ✿ß➐Ü✘✆ã ✱
ò ✿❂❁❄➬❃ ó✖■ø ✣ ❅ ❏▲❑✵▼✌◆ ●P❖◗❁❙❘ ð Ù❾ú❅×✵Ð✻Ö✞ñ✲ê➊Ò❭Ñ✭ë✆Ø❾ú❅Ò♠Ñ✯ñ❅Ò✷è❖Ù➐Ò❲è✻Ò✷ë✆Ñ❂Ø❾ú❅Ò➡Ö★×❁ù Ò✷è❖ñ➩×✢Û☞Ò✷ë✢û✭ú✉Ù❾û♠ë✢Ö★Ò❲ê❖Ð❅Ø➔ü✤Ð❖û✭úsÖ★Ò✷Ù❾Ù➔ñ❅Ò✷è✻Ù➐Ò
❀
è✻Ò✷ë✆Ñ➡Ø❾ú❅Ò②❚Ð ✝✟✝➊Ò♠Ñ✤Ò✷è❖ñ✻Ù❲×✢Û✾Ø❾ú❅Ò❫Ñ❾Ò♠Ï✵❰★×✵è❖Ù♠❯
ì ✓✖è Û■ë✢û✟Ø♠ç✕Ø❾ú❅❱Ò ✝➬×✵❰➙è✓Ø❾Ù➷❰✞è✽❮❹❰★Ï✵Ð❅Ñ❾Ò✲ö➩ë✆Ñ❾Ò❫Ò✷✒Ù ✝➊Ò✷û♠❰✞ë✢Ö✞☞Ö ☛♣ñ✻Ò✷è✻Ù➐Ò②ë✆Ñ❾×✵Ð✻è✻ñ
Ü✘Ý✘Þ✿ß➐Ü✓✌ã ✱✉ò ☎ ì î ç✑Ø❾ú❅Ò✷è✫Ö★Ò✷Ù❾Ù✡ñ❅Ò✷è❖Ù➐Ò❇Ð✻è✘Ø❾❰✞Ö✺Ü✓Ý✘Þ✿ß➐Ü✘ã✆✱✫ò ø✆ì✞ø✆ì❘❮❹❰★Ï✵Ð❅Ñ✭Ò❘ö❫ë✢Ö✞Ù➐×②Ñ❾Ò♠ä✢Ò✷ë✢Ö➙Ù❭ë✸Ù➐Ò♠Ø❭×✢✗Û ✝➊×✵❰✞è✘Ø❾Ù✡❰✞èsØ❾ú❅Ò
✟Ð ✝✟✝➊Ò♠Ñ➂Ñ✭❰★Ï✵ú✘Ø✺û✟×✢Ñ✭è❅Ò♠Ñ☞×✢Û➊Ø❾ú❅❲
Ò ✝❖Ö★×✢Ø♠ç í ì ✔î ❳ Ü✘Ý✓Þ✕ß✖Ü✘✌ã ✱ ❳ ÷❦ç❦ë✢è✻ñ❘Ó ❳ Ü✘Ý✓Þ✕ß❛à❅á❦â❙ã ❳ ö✘ç✓ù✾ú❖❰✞û✭ú❇❰➙Ù✺ñ✻❰✞Ù❾û♠Ð❖Ù❾Ù➐Ò✷ñ➷ê➊Ò✷Ö★×tù
❰➙è✲û✟×✵è✻è❅Ò✷û✟Ø❾❰✞×✵è➩ù❂❰★Ø❾ú✲❮❹❰★Ï✵Ð❅Ñ✭Ò❘ø✢ø✵ó■û ð ✥ì ❨☞❰✞Ï✵ú✓Ø➔Ù➐✏Ò ✝❖ë✆Ñ✭ë✆Ø➐Ò➡Ù❾Ð❅ê❖Ñ❾Ò♠Ï✵❰★×✵è✻ÙÚ×✢Û✿❮✱❰✞Ï✵Ð❅Ñ❾Ò➷ö✄ë✆Ñ❾Ò➷ñ✻❰✞✒Ù ✝✐Ö✞✷ë ☛✢Ò✷ñ➩❰✞è➩❮❹❰★Ï✵Ð✻Ñ❾Ò✷Ù ❒
ë✢è❖ñ ï ç✣ù✾ú❅Ò♠Ñ❾Ò➷Ø❾ú❅Ñ✭Ò♠Ò❇Ð✻è✻û✟×✵ü❇ü➡×✵è❖Ö☞☛✲Ù➐Ø➐Ñ✭ë✢❰✞Ï✵ú✓Ø✡Ö✞❰➙è❅Ò✷Ù➔×✢Û✗✝➊×✵❰✞è✘Ø❾Ù➔×❦û♠û♠Ð❅ÑtÔ➡ó✖ø ð ÷✵ö✢✤ö ✝➊×✵❰✞è✓Ø❾Ù➢❰✞è✉❮❹❰★Ï✵Ð✻Ñ❾Ò✷Ù ❒ ó■ñ ð ç➹❰✞è
Ø❾ú✻Ò✡Ñ❾Ò♠Ï✵❰★×✵è②ù❂ú❅Ò♠Ñ❾Ò✤Ü✘Ý✓Þ✕ß✖Ü✘ã✌✱❫❰✞Ù➄ê➊Ò♠Ø↔ù✕Ò♠Ò✷è✽ø✆ì✞øtö➡ë✢è✻ñ♣ø✆ì í ö✘ç➬ë✢è✻ñ➩Ü✘Ý✓Þ✕ßqà❙á❦â❙ã⑥ò î ì ☎ ✑✱ó í✵ð✾í✢ï✢í ✝➊×✵❰✞è✘Ø❾ÙÚ❰✞è②❮❹❰★Ï✵Ð❅Ñ❾Ò
ï ó■ë ð ç➹ù✾ú❅Ò♠Ñ❾Ò➡Ü✓Ý✘Þ✿ß➐Ü✘ã✆✲✱ ❰✞Ù➔ê➊Ò♠Ø↔ù✕Ò♠Ò✷è ø✆ì✛Ó ï ë✢è✻ñ ø✆ì✇ö ï ç✣ë✢è✻ñ♣Ü✓Ý✘Þ✿ßqà❅á✘â❅ã②ò î ì ❒ ✑☞ó❛÷ ð Ó ☎ ✝➊×✵❰✞è✘Ø❾Ù❂❰➙è➩❮❹❰★Ï✵Ð❅Ñ✭Ò ï ó■û ð ç
ù❂ú❅Ò♠Ñ❾Ò❲Ü✘Ý✓Þ✕ß➐Ü✓ã✌✱❫❰✞Ù✶ê➬Ò♠Ø ù✿Ò♠Ò✷è í ì✇ö➡ë✢è❖ñ í ì ï ç➬ë✢è❖ñ➩Ü✓Ý✘Þ✕ß❛à❅á✘â❅ã❇❰➙è✻û✟Ñ❾Ò✷ë✢Ù➐Ò✷Ù✾Û❯Ñ❾×✵ü⑩Ó❦ì é✄Ø➐×②ö✘❩ì ✖✶ú✻✥Ò ✝➊×✵❰✞è✓Ø❾Ù✾❰✞è❫Ø❾ú❅Ò✷Ù➐Ò
Ù❾Ò♠Ø❾Ù❭×✢ÛÚÖ✞❰✞è✻Ò✷Ù✯ú✻ë✷ä✢Ò❫❰✞è♣û✟×✵ü❇ü❇×✵è ó✖ø ð ý✻þ✼ÿ♣ò ø✷Ó ❒ ø✆ç☞ý✢ÿ❅Ý✄✂❦â♣ò ø ☎✌☎✌☎✌☎ ❬ç ❙ÿ❙Ý▲✂✘â♣ò í✢î ó■Ù❾ü✤✒Ø ✝ ü❇ë✢❰✞Ö ð ✑Úó í✵ð ý❅þ✼ÿ
ò í ÷ ☎ ö ☎ ✾ç ➊þ❁ÿ➩ò③÷✢÷✢Ó❦❭ç ❙ÿ❙▲Ý ✂✘â✲ò ✆❒ ☎ órù✿Ò♠ê ð ✑✎ë✢è✻ñ ó❛÷ ð ❦ÿ❅▲Ý ✘✂ â✲ò î✢î é❅ç➹ý✢ÿ❅Ý✄✂❦â➩ò④ø í ö✆Ó✄Ø➐× ✆í ☎ ö ☎ ✥ì ❪✲×✵Ù➐❫Ø ✝➬×✢Ñ✭Ø
è❦Ð✻ü✤ê➊Ò♠Ñ✭Ù❂ë✆Ñ✭Ò➷ë✢Ù✭Ù❾❰★Ï✵è❅Ò✷ñsë✆Ø➢Ñ✭ë✢è✻ñ❅×✵ü⑩Ûr×✢Ñ✯ë❘Ï✵❰✞ä✢Ò✷èsØ❾ë✢✒Ù ❴✐ç✣Ù❾×⑥Ø❾ú✻Ò➷û✟×✵ü✄ü➡×✵è✻ë✢Ö✞❰★❵Ø ☛✸×✢Û☞Ø❾ú✻Ò✷Ù➐Ò➡Ù➐Ò✷Ù❾Ù❾❰★×✵è❖Ù❂×✢Û✕Ù❾❰✞ü❇❰➙Ö✞ë✆Ñ
Ù✭☞❰ ❛♠Ò✡ë✢è✻ñ✸ñ❅Ò✷Ù❾Ø❾❰✞è✻ë✆Ø❾❰★×✵è②ü❇❰✞Ï✵ú✓ØÚÑ✭ë✢❰➙Ù➐Ò✡Ù❾Ð✻Ù✒✝✐❰✞û♠❰★×✵è✎ì
❜
PE
AF
3
T
4
PA
5
log(1 + sqrt{NBytes})
6
R
7
NBytes vs Duration
0.5
1.0
1.5
2.0
2.5
3.0
0.55
0.60
0.65
0.70
0.70
0.75
0.80
0.85
0.90
0.95
5.5
5.0
+
++
++ ++++++++++++++++++++++++++++++++++++ +
++ + + + +
++
+++ ++++++++++++++++++++++ +
3.5
4.0
4.5
+++
3.0
3.5
4.0
4.5
log.byte
5.5
5.0
6.0
log.len
6.0
log.len
3.0
log.byte
4.5
3.0
3.5
4.0
log.byte
5.0
5.5
6.0
0.50
DR
4.5
3.0
3.5
4.0
log.byte
C0
5.0
5.5
6.0
4
❝❡❞✩❢✄❣❚❤✞✐❦❥✳❧❩♠✳♥▲♦❩♣rq✭s✚log(1
t✭✉✇+✈✌sqrt{duration})
✐✏❤②①✞❣✟①③♠▲♥✳♦✗♣P④✄⑤✭⑥✟⑦✌t✰⑧✄♥✆⑨
1.00
1.05
log.len
1.10
1.15
1.20
1.25
1.30
log.len
x = SIP 1681, DPort 25, Sport 10000, 43−50 packets
❝❡❞✩❢✄❣❚❤✞✐❶⑩✚❧❩♠✳♥▲♦❩♣rq✭s✚t✭✉❷✈✌✐✏❤②①✞❣✟①❸♠✳♥✳♦✗♣P④✌⑤❚⑥✟⑦✌t✰⑧✌♥✌⑨✾❹▲❺✔①✞❣✟❻✟❤②❼✌❽❚❢✌✐✷①
+
7
6.0
❾✏❿
5
log.byte
4.5
1.65
1.70
1.75
1.80
3
3.0
R
3.5
4
4.0
log.byte
5.0
6
5.5
++++++++++++++
+++++++++++++++++++
++
+++++++++++
++++++++++++++++++
+++
+++++++++
+++
++++++
++
+++
++
++
1.85
1.9
2.0
2.1
2.3
2.4
2.5
2.6
7
7
2.2
log.len2
PE
log.len
292 points: SIP 23070, DIP 336, DPort 80
2.7
2.8
6
5
log.byte
4
T
2.6
3
PA
5
3
4
log.byte
6
+++ ++
++++++++++++++++++++++ +
+ + ++++++++++++++
2.9
3.0
3.1
3.2
3.3
3.4
3.5
AF
➀❡➁✩➂✄➃❚➄✞➅❶➆✚➇❩➈✳➉▲➊❩➋r➌✭➍✚➎✭➏❷➐✌➅✏➄②➑✞➃✟➑❸➈✳➉✳➊✗➋P➒✌➓❚➔✟→✌➎✰➣✌➉✌↔✾↕▲➙✔➑✞➃✟➛✟➄②➜✌➝❚➂✌➅✷➑
log.len2
log.len
DR
C0
4
➞✰➟❂➠➢➡✌➟❂➤ ➥✗➦❋➡✌➟❂➤❂➧✌➨➫➩✦➭➲➯✌➠✒➧✆➳❄➵✵➸✕➧➢➺❦➻✳➼➽➸➽➟❂➤➾➨✰➡✌➟❂➤➚➧✆➨✤➵✭➧✌➠➽➟➾➸
➪ ➜✆➛✵➶✩➅➘➹➴➑✞➷❚➬❄➮✗➅✷➱✴✃✞➷✟➜✆✃✢✃✞➷✟➁❐➑✢➷❚➬✄➃❚➄✢➬✌❒❷➁✩➝✳✃✒➅✏➄②➝❚➅✏✃✢➜✌❮✦✃✞➁✩➐✚➁☞✃❵❰Ï➁✩➝▲➐✌➬✄➶✩➐✌➅✷➱ÑÐ✌Ò ❿ ➱✵➁✎Ó✁➅✏➄②➅✷➝▲✃✢➱❚➅✷➑✞✃✞➁✩➝✟➜✆✃✞➁☞➬✄➝ÏÔ❭➬✌➄✞✃✞➑
Õ×Ö✭Ø ➉✄➔✚➎❚Ù❋Ú Ö✭Ø ➉▲➔✳➎➲Ò ❿ Õ ➮❩➅✏➛✁ÙÛ➁✩➑❬✃✞➷✟➅✽Ü❷➬✄➑✒✃✘❮✦➬✄Ü✇Ü✇➬✄➝✾↕✳❮✦➬✄Ü❷Ô✵➄②➁✩➑✞➁✩➝✟➂ ❾✌❾✷Ý ↕ ❾ Ð❙➙➲➬✌❒✁✃✞➷❚➅ ❾ Ð✌Þ✚↕ Ý✆❿ Þ❶➄✞➅✷❮✦➬✌➄②➱✟➑✏Ú ➪ ➷✟➅✽➝❚➅✦ß✚✃
Ü✇➬✄➑✒✃✕❮✦➬✄Ü✔Ü❷➬✄➝à➱❚➅✷➑✒✃✞➁✩➝✟➜✆✃✞➁✩➬✄➝áÔ❭➬✌➄✞✃✕➁✩➑ Ö✭Ø ➉▲➔✚➎â➙✌➙▲Ð Õ ➑✞➅✷❮✏➃❚➄✞➅✤➮✗➅✏➛➘ã❚➎✳➎▲ä❭å✄Ù❋↕❬➃❚✃✞➁✩➶✩➁☞æ✏➅✷➱ ❾✌❾ ↕ Ý ➹✄çè✃✞➁✩Ü❷➅✷➑✏↕❬❒➾➬✄➶✩➶☞➬❄➮✗➅✷➱
➛✚❰ Ö✚Ø ➉▲➔✳➎é➹✌Þ Õ Ü✔➜✌➁✩➶ëê❚ì ➪❲í Ù❸➜✌❮✏❮✦➅✷➑✞➑✒➅✷➱ Ý ↕ ❾ Ò Ý ✃✞➁✩Ü❷➅✷➑✏Ú í ➬✌➄✞✃✞➑❶Þ✌Þ❙➙❚↕ ❾✌❾ Ð✚↕ ❾✏❿✌❿✌❿✌❿ ↕❬Ò✌Ò✌Ò✌Ò✧➬✚❮✏❮✏➃❚➄❶➹ ❿✌❿ ↕ ❾ ➹✌Ò✚↕❡➆✄ç✳↕
➆❙➙✜✃✞➁✩Ü❷➅✷➑✏↕✰➄✞➅✷➑✒Ô❭➅✷❮✦✃✞➁☞➐✌➅✷➶☞❰✌Ú ➪ ➮❩➅✷➶☞➐✌➅❶➱✟➅✷➑✒✃✞➁✩➝✟➜✆✃✞➁☞➬✄➝éÔ❭➬✌➄✞✃❲➝✚➃✟Ü❶➛❭➅✏➄②➑❲➱✟➃❚➄②➁✩➝✟➂✕✃✞➷✵➁✩➑✽➷❚➬✄➃❚➄❸➬✚❮✏❮✏➃✟➄✞➄✞➅✷➱✢➛❭➅✏✃❵➮✗➅✏➅✷➝❉Þ✇➜✌➝✟➱
➹✌➆✧✃✞➁✩Ü❷➅✷➑î➁✩➝❉✃✞➷❚➅❷ï✰➶☞➅✌ð❡Þ✤Ô❭➬✌➄✞✃✞➑❫➬✭❮✏❮✏➃❚➄✞➄✞➅✷➱❯➬✄➝✟➶☞❰é➙✧✃✞➁❐Ü❷➅✷➑✏↕★Ò✤➬✭❮✏❮✏➃❚➄✞➄✞➅✷➱❯➬✄➝✟➶☞❰ñÐ✤✃✞➁❐Ü❷➅✷➑✏↕ò➙✳ç❱➱✟➅✷➑✒✃✞➁✩➝✟➜✆✃✞➁☞➬✄➝❉Ô❭➬✌➄✞✃✞➑
➬✭❮✏❮✏➃❚➄✞➄②➅✷➱❉➬✄➝✟➶☞❰✢✃❵➮❲➁✩❮✦➅✌↕ó➜✌➝✟➱❯➹✌➆✌Ð❱➱✟➅✷➑✒✃✞➁✩➝✟➜✆✃✞➁☞➬✄➝ñÔ❭➬✌➄✞✃✞➑❫➬✭❮✏❮✏➃❚➄✞➄✞➅✷➱❉➬✄➝✵➶☞❰✢➬✄➝✟❮✦➅✌Ú➲ô❫➁✩➑✒Ô✵➶✩➜✡❰✚➁❐➝❚➂✤➜✌➶❐➶ ❾ Ð✌Þ✚↕ Ý✆❿ Þ✢Ô❭➬✄➁✩➝▲✃✞➑
➬✄➝✜➬✄➝❚➅③Ô✵➶☞➬✌✃❩➁✩➑✗➝✟➬✌✃✘➐✌➅✏➄✞❰✔➁❐➝❚❒×➬✌➄❋Ü✇➜✆✃✞➁☞➐✌➅✌↕✭➑✒➬✕➁❐➝✟➑✒✃✒➅✷➜✌➱✇➮❩➅❫➑✞➃❚➛✾➱✟➁☞➐✭➁✩➱❚➅õ✃✞➷❚➅❫➑✒➅✷➑✞➑✞➁✩➬✄➝✇➄✞➅✷❮✦➬✌➄②➱✵➑❩➁❐➝▲✃✒➬❦➂✌➄✞➬✄➃❚Ô✵➑❩➜✌❮✏❮✦➬✌➄②➱✭ö
➁❐➝❚➂❱✃✒➬✢✃✞➷❚➅✷➁☞➄✥➱❚➅✷➑✞✃✞➁✩➝✟➜✆✃✞➁☞➬✄➝❉Ô❭➬✌➄✞✃✞➑✏Ú✇÷❩➅✷❮✏➜✌➃✟➑✞➅✇➬✡➐✌➅✏➄❷Ò✌Þ✄øù➬✌❒õ✃✞➷❚➅✷➑✒➅✇➱✟➜✆✃✞➜é➜✆➄✞➅✇➮❩➅✏➛á➑✒➅✷➑✞➑✞➁✩➬✄➝✟➑ Õ×Ö✚Ø ➉▲➔✳➎âúûÒ ❿ Ù❋↕❡➜
Ô✰➶☞➬✌✃■➬✌❒③➈✳➉▲➊❩➋➚➌❚➍✚➎✭➏➲➐✌➅✏➄❋➑✞➃✟➑❸➈✳➉▲➊❩➋✒➈▲➏✌↔✤❒➾➬✌➄✽➬✄➝✟➶☞❰✤✃✞➷❚➅î➮❩➅✏➛è➑✒➅✷➑②➑✞➁☞➬✄➝✟➑■➶☞➬✚➬✌ü✭➑■➐✌➅✏➄✞❰✧➑✞➁✩Ü✇➁❐➶✩➜✆➄õ✃✒➬✇✃✞➷✟➜✆✃✽❒➾➬✌➄❸➜✌➶✩➶❭➬✌❒❬✃✞➷❚➅
➱✵➜✆✃✞➜ Õ ➀❬➁☞➂✄➃❚➄✞➅➲ç✌Ù❋Ú✽➀❡➁✩➂✄➃❚➄✞➅ ❾✏❿ Ô✵➶☞➬✌✃✞➑✽✃✞➷✟➅✷➑✒➅❶✃❵➮✗➬✤➐❙➜✆➄❋➁✩➜✆➛✵➶☞➅✷➑■❒➾➬✌➄❸➝✟➬✄➝✭ör➮✗➅✏➛èÔ❭➬✌➄✞✃✞➑✏➇✗➱✟➅✷➑✒✃✞➁✩➝✟➜✆✃✞➁☞➬✄➝éÔ❭➬✌➄✞✃❲➹✌Þ Õ ➑②Ü❶✃✒Ô
Ü✔➜✌➁✩➶×Ù❫➁✩➝áÔ✵➜✌➝❚➅✷➶ Õ ➜▲Ù❋ð✘Ô❭➬✌➄✞✃✥➙✌➙▲Ð Õ ã❚➎✳➎▲ä❭å✄Ù❫➁✩➝áÔ✵➜✌➝❚➅✷➶ Õ ➛✁Ù❋ðëÔ❭➬✌➄✞✃✞➑ ❾✌❾ Ð✚↕✘Þ✌Þ❙➙❚↕✘Ò✌Ò✌Ò✌Ò✚↕ ❾✏❿✌❿✌❿✌❿ ➁✩➝❯Ô✵➜✌➝✟➅✷➶ Õ ❮✡Ù❋↕✘➜✌➝✟➱
✃✞➷✟➅❦➄✞➅✷Ü✔➜✌➁✩➝✟➁✩➝❚➂✤Ð ❾✏❿ ➱❚➅✷➑✒✃✞➁✩➝✟➜✆✃✞➁✩➬✄➝✢Ô❭➬✌➄✞✃✞➑❫➁✩➝✢Ô✰➜✌➝❚➅✷➶ Õ ➱✁Ù❋Ú✥ýî➝❚➅✕➝✟➬✡➮þ➑✒➅✏➅✷➑③❒×➄②➬✄Ü í ➜✌➝❚➅✷➶ ❾✏❿ Õ ❮✡Ù❸✃✞➷✟➜✆✃③✃✞➷❚➅➲➶✩➁✩➝❚➅❦➬✌❒
Ô❭➬✄➁✩➝✳✃✞➑✽➁✩➝❱✃✞➷✟➅❶➃❚Ô✟Ô❭➅✏➄■➄②➁☞➂✄➷✳✃❲❮✦➬✌➄②➝✟➅✏➄✽➬✌❒Û➀❡➁✩➂✄➃❚➄✞➅ ❾✏❿ ❮✦➬✌➄✞➄✞➅✷➑✒Ô❭➬✄➝✟➱❱✃✒➬✤➑✒➅✷➑✞➑✞➁☞➬✄➝✵➑■❒×➄②➬✄Ü Ö✚Ø ➉▲➔✳➎❱Þ✌Þ❙➙❚↕✁➜✌➝✟➱✢✃✞➷✟➜✆✃❲✃✞➷❚➅
➑✞➅✷➑✞➑✞➁☞➬✄➝✟➑❲❒×➄②➬✄Ü Ö✭Ø ➉▲➔✚➎✧Ò✌Ò✌Ò✌Ò✤➬✭❮✏❮✏➃❚➄❫➁✩➝é➜✤➑✞Ü✇➜✌➶❐➶ó❮✏➶✩➃✟➑✞✃✒➅✏➄③➝❚➅✷➜✆➄✥➈✳➉▲➊❩➋➢➈✳➏✌↔èú❀➹✇➜✌➝✵➱❉➈✳➉▲➊❩➋r➌✭➍✚➎✭➏✧ú❀Þ✚Ú❸ÿ③➝❚➬✌✃✞➷❚➅✏➄
➁❐➝▲✃✒➅✏➄✞➅✷➑✞✃✞➁✩➝❚➂✤➂✌➄✞➬✄➃❚Ô❉➬✌❒✘Ô❭➬✄➁✩➝✳✃✞➑❫➶✩➁☞➅✷➑③➁✩➝ñ✃✞➷❚➅❷➃❚Ô✟Ô❭➅✏➄❸➄❋➁☞➂✄➷▲✃❫❮✦➬✌➄②➝❚➅✏➄î➬✌❒❩➀❬➁☞➂✄➃❚➄✞➅ ❾✏❿ Õ ➱✰Ù❋↕ò➮❲➷✟➅✏➄✞➅❷➈✳➉✳➊✗➋r➌✭➍✚➎❚✁
➏
➙ ✂
✄
➬ ☎✞✝ ➧✆➠➽➟ ➝✚➃✟Ü❦➛❭➅✏➄②➑ ❾✌❾ ➆✔➜✌➝✵➱ ❾ ç✆Þ✌Þ✚↕❭➛✵➃❚✃✽➜✆➄✞➅❦➬✌✃✞➷❚➅✏➄✞➮❲➁✩➑✞➅
❿ Ú Þ✤➈▲➉✳➊❩➋➢➈✳➏✆↔✾ð❚➙ ❿ ➬✌❒❬✃✞➷❚➅✷➑✞➅✕Þ✌➹❷Ô❭➬✄➁✩➝✳✃✞➑✽❮✦➬✌➄✞➄②➅✷➑✒Ô❭➬✄➝✟➱✧✃✒✆
➃✵➝❚➄✞➅✷➶✩➜✆✃✒➅✷➱✾Ú ➪ ➷✟➁✩➑❩➅✦ß✭➜✌Ü✇Ô✵➶☞➅✥➁✩➶✩➶❐➃✟➑✒✃✒➄②➜✆✃✒➅✷➑õ✃✞➷✟➜✆✃❸➜✆Ô✟Ô✵➜✆➄✞➅✷➝✳✠
✃ ✟➢Ô✵➜✆✃✒✃✒➅✏➄②➝✟☛➑ ✡✔❮✏➜✌➝✧➛❭➅✥➑✒Ô✵➃✟➄②➁☞➬✄➃✟➑✏Ú
☞ ➧✆➨✟➤❂➟r➧✆➠➽➤×➨✳➯③➺➽➠✞✍➼ ✌✏➳✵➼✏➨✰➦✏➭❱➧➢➺î➸✦➧✌➳✚➠✒➦❋✏➼ ✎ ✝ ➡▲➻✄➻✆➠✞➼➽➸②➸✷➼➽➸
➅ ✑ í ➜✌➱✟➱❚➄✞➅✷➑✞➑ ✓Õ ✒✕❙✔ Ø Ù❋↕
➪ ➷❚➅✷➑✒➅❶➑②➜✌Ü❷➅❶Ô✵➶✩➬✌✃✞➑✽❮✏➜✌➝é➛❭➅✥❮✦➬✄➝✟➑✞✃✒➄②➃✟❮✦✃✒➅✷➱è➮❲➷❚➅✷➝✧✃✞➷❚➅✕➱✟➜✆✃✞➜✔➜✆➄②➅❶➑✞➃❚➛✵➑✞➅✏✃✒✃✒➅✷➱✢➛✚❰❱➑✞➬✄➃❚➄②❮✦✏
×
Õ
✭
Ö
Ø
➜✌➑③➬✌Ô✟Ô❭➬✄➑✒➅✷➱é✃✒➬✧➱❚➅✷➑✒✃✞➁✩➝✟➜✆✃✞➁✩➬✄➝✢Ô❭➬✌➄✞✃❸➝✚➃✟Ü❦➛❭➅✏➄
➉▲➔✳➎✟Ù❋Ú ➪ ➷❚➅❦➝✚➃✟Ü❦➛✁➅✏➄❸➬✌❒✘➑✒➬✄➃❚➄❋❮✦✏
➅ ✑ í ➜✌➱✵➱❚➄✞➅✷➑✞➑✒➅✷➑❸✃✞➷✟➜✆✃❫Ü✇➜✷❰è➛❭➅
➜✌❮✦✃✞➁✩➐✌➅õ➱✵➃❚➄②➁✩➝❚➂✽➜❸➂✄➁☞➐✌➅✷➝➲➷❚➬✄➃❚➄★➬✌❒✵➜✌❮✦✃✞➁☞➐✭➁☞✃◗❰❦➁✩➑★➶❐➁☞ü✌➅✷➶☞❰❫✃✒➬❸➛❭➅✗➐✌➅✏➄✞❰❶Ü✕➃✟❮②➷➲➷✟➁☞➂✄➷✟➅✏➄ó✃✞➷✟➜✌➝❦✃✞➷❚➅õ➝✳➃✟Ü❦➛❭➅✏➄ó➬✌❒✵➱✟➅✷➑✒✃✞➁✩➝✟➜✆✃✞➁☞➬✄➝
Ô❭➬✌➄✞✃✞➑✷ð✳➁✩➝❷✃✞➷✵➁✩➑ë➱✟➜✆✃✞➜✥➑✞➅✏✃✏↕✳➬✄➝✟➶✩❰➲Ð✌Ò ❿ ➃✟➝✟✗➁ ✖✚➃❚➅■➱❚➅✷➑✒✃✞➁❐➝✟➜✆✃✞➁☞➬✄➝❷Ô❭➬✌➄✞✃✞➑Û➮❩➅✏➄✞➅③➜✌❮✏❮✦➅✷➑✞➑✒➅✷➱✾↕✚➮❲➷✟➁✩➶✩➅■Ð✌Þ❙➙▲Ò❦➑✒➬✄➃❚➄❋❮✦➅✽Ô❭➬✌➄✞✃✞➑✘➜✆➄✞➅
➁❐➝✇✃✞➷❚➅③ï✵➶☞➅✌Ú❬ÿÏÔ✵➶☞➬✌✃✗➬✌❒õ➈✳➉▲➊❩➋✙✘✄➌❚➍✳➎❚➏❶➐✌➅✏➄②➑✞➃✟➑■➈▲➉✳➊❩➋➢➈✳➏✆↔✇➑✞➷❚➬❄➮❲➑❩❮✏➶✩➃✟Ü❷Ô✵➑✘➬✌❒ò➬✌➛✵➑✒➅✏➄②➐❙➜✆✃✞➁☞➬✄➝✵➑ë❒➾➬✌➄õ❮✦➅✏➄②✃✞➜✌➁✩➝✜➑✞➬✄➃❚➄②❮✦✚
➅ ✑í
➜✌➱✵➱❚➄✞➅✷➑✞➑✒➅✷➑✷↕❚➬✌❒×✃✒➅✷➝é➛✁➅✷❮✏➜✌➃✵➑✒➅î✃✞➷❚➅✏❰✧❮✦➬✌➄✞➄✞➅✷➑✒Ô❭➬✄➝✟➱❱✃✒➬✜➷❚➅✷➜✷➐✚❰❱➮✗➅✏➛✢✃✒➄❋✜➜ ✛✔❮✆Ú
☞ ✣➳ ✢ ➟❂✥➤ ✤❙➡✆➠➽➤➚➡✌➟◗➼➲✧➦ ✦✚➡✌➠➽➟➾➸
Dest Port 443 ( 11627 )
5
log.byte
6
7
★✩★
1
2
3
3
R
4
5
4
log.byte
6
7
Dest Port 25 ( 6186 )
3
0
1
2
PE
log.len
Dest Ports 113, 554, 8888, 10000 ( 519 )
7
6
0
5
0
05
4
0
0
0
0
0
0
1
2
5
log.byte
5555
55 5 55 5 5
5555
55
555
5 0
0
5
3
log.len
1 = 113 5 = 554 8 = 8888 0 = 1000
T
0000 5 5
00
00
00
5
5 888
8888888
88
88
8
888885
888
8885
55
0
PA
00 55 555
+ +
+ +++++
+
++++
+++++
+
+++ +++
+++++++++ +
++++
+ +
+
+
+
+
+
+ ++
+ ++
+
++ +
+++ +++ +
+ + ++
+
+
+
+ ++
+
++ +++ + + + +
+
+ + ++
+
+
+
+
+
++
++
++
+ + + ++
++
+ + ++
++ +
+ ++
+
+
+ +
+ + +++ +
+ +++ + + ++ + ++
++++++++++++ + ++ +
+++
++ +++ +
+
+
+
+
+
+
+
+
+
+
+
+ ++
+
+ + ++ + +++ +
+
+
+
+ +++++ +
+
+ ++
++++++
+
+ +
+ ++++ +
+
++
+
+ +
++ +
++ + +++ ++
+
+
+ + + ++ ++ + +
+++ +++ ++++++
++++++++++++
+
+
+
+
+
+
+
+
+++ + + + ++++
++
+++++
++ +
++++
+++
+++
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
++ +
+
+ +++ ++
++
++++
++++ ++
+
+
++ +
+ ++ ++
+
+
+
++ + +++ + + ++++ ++
++
++
++ + ++++
+++
+
++++++++
+
+
+ +++ +++++++++
+
+
+
+
+
++
+
++++ + +++
+ +++ ++ ++++ +
+++++ ++
+++++++
+ ++
+
+
+
+
+ ++
+
+
+
+
++++ + +
+ +
+++
+ +++
+
3
7
6
5
4
log.byte
0
0
0
3
0
0
00
0
00
55
55555
55
5555
55 5
5
55555
55
5
55
55555
55555555555
5
5
5
55
5 555
55
5
00
4
Other Dest Ports ( 1139 )
0 0
0
3
log.len
4
0
1
++
+
+
2
3
4
log.len
AF
✪✬✫✮✭✰✯✕✱☛✲ ★✴✳✣✵✷✶✹✸✻✺✽✼✿✾✕❀❂❁✣❃❅❄✣❆❇✶✹✸✻✺✽✼❈✶✻❃✩❉❋❊✥● ✱ ●✩❍✍■ ✲✴✱❇❏❑✲ ❆❈❍ ✫✗▲❑▼ ❍ ✫ ● ▲✆◆ ● ✱ ❍✍❆P❖
DR
C0
4
✪◗✫❘▲❑▼✩❙✗❙✮❚✩❯ ❍✍■ ✲ ❍✍■ ✱✍✲✴✲ ❆ ✲ ❆☛❆ ✫ ● ▲❲❱ ❆ ✫✗❳✴✲P❨ ❄ ▼✜✱❩✫✗▼✜❬❭❙✮✲ ❆ ❯ ✶✹✸✹✺❪✼❈✶✻❃✩❉✷❫✄✶✹✸✹✺❪✼✓❴❂❵✣❁❪❫✄✶✹✸✹✺❪✼✓✾✣❀❂❁✕❃ ❯✜❬❛✲P✫✗▲✕✭ ❆❈●✰❜ ✲✴❝ ■ ▼ ❍❡❞✧● ✱❈❢
✱☛✲P❙✗▼ ❍ ✲P❏❣❯❡▼✜✱✍✲❤▼ ❜ ✲P▲❭▼✜❬❭❙✮✲ ❍❈● ▼✐❱ ❞✧● ▲ ❍ ✱ ● ❙ ❞❩■ ▼✜✱ ❍✴❥ ❝ ■ ✲✴✱☛✲ ❍✍■ ✲ ❆❈❍ ▼ ❍ ✫ ❆❈❍ ✫ ❞ ❬❛✲P✫✗▲✕✭✄◆❦❙ ●✩❍❈❍ ✲P❏❧✫ ❆ ▼♠❝✽✲P✫✮✭ ■✹❍ ✲P❏♥❙✗✫✗▲❑✲P▼✜✱
❞✧●✰❜ ❬❭✫✗▲❭▼ ❍ ✫ ● ▲ ●✩❊♦❍✍■ ✲♣◆❭✱✍✲ ❄ ✫ ● ✯ ❆ ❙✮❚✠◆❦❙ ●✩❍❈❍ ✲P❏ ❄ ▼✜✱❩✫✗▼✜❬❭❙✮✲rq✓s❦t✉▼✩▲❑❏ ❍✍■ ✲ ❞ ✯✕✱✍✱✍✲P▲ ❍✉❄ ▼✩❙✗✯✕✲ ●✩❊♦✈❇●✩❍ ✲P❙✗❙✗✫✗▲❑✭ ❥✇❆✽①❇②✞❆❈❍ ▼ ❍ ✫ ❆❈❍ ✫ ❞
q ★④③ s⑤t ❖⑦⑥ ▼✜✱☛❏❑✲ ❜ ▼✩▲❧▼✩▲❑❏♥⑧ ● ❬❛✲❲q ★P⑨✩⑨✩⑨ t⑩◆❑✱ ●❶❄ ✫✗❏✕✲ ❍ ▼✜❬❭❙✮✲ ❆❅❊✥● ✱ ❍✍■ ✲ ● ◆ ❍ ✫ ❜ ▼✩❙ ❞❩■✕● ✫ ❞ ✲ ❆r●✩❊ s ❖❧❷ ▼✩❙ ❞ ✯❑❙✗▼ ❍ ✫❘▲✕✭❸▼
✈❇●✩❍ ✲P❙✗❙✗✫❘▲✕✭ ❥✇❆❹①♣②❺❆❈❍ ▼ ❍ ✫ ❆❈❍ ✫ ❞✏● ▲ ❍✍■ ✱✍✲✴✲ ❆ ✯ ❞✴❞ ✲ ❆✍❆ ✫ ❄ ✲ ● ❬ ❆ ✲✴✱ ❄ ▼ ❍ ✫ ● ▲ ❆ ❯❛❏✕✲P▲ ●✩❍ ✲P❏❸❻r❼❽❯❛▼ ❜ ✯❭❙ ❍ ✫ ❄ ▼✜✱☛✫✗▼ ❍ ✲✏✲✧❾✣◆ ● ▲✕✲P▲ ❍ ✫✗▼✩❙✗❙✮❚
❝✽✲P✫✮✭ ■✹❍ ✲P❏ ❜r●❶❄ ✫✗▲✕✭❅▼ ❄ ✲✴✱❩▼✜✭✩✲❿q✿➀♠➁➃➂➄➀✄➅➆t ❞☛■ ▼✜✱ ❍ ✯ ❆ ✫✗▲✕✭rs✁➇ ✳✣❖➉➈ ✫ ❆✷❆✍■✕● ❝✚▲✆✫✗▲❋✪✬✫✮✭✰✯❑✱✍✲ ★✩★ q➊❙❘▼ ❆❈❍➆★✴✳ ❯➉➋ ✳ ➋ ● ❬ ❆ ✲✴✱❈❢
❄ ▼ ❍ ✫ ● ▲ ❆❇● ▲❑❙✮❚❑t ❖ ➀ ●✰❆❈❍❇❄ ▼✩❙✗✯✕✲ ❆ q ⑨✩⑨❂❖➍➌✩➎ t❇▼✜✱✍✲⑩❬⑤✲P❙ ● ❝➐➏ ✳✣➑ ▼ ❆ ✯ ❞✴❞ ✲ ❆✍❆ ✫ ❄ ✲④✱☛✯❭▲ ●✩❊➒● ❬ ❆ ✲✴✱ ❄ ▼ ❍ ✫ ● ▲ ❆ ▼✜❬ ●❶❄ ✲r➏ ✳❋❜ ✫✮✭ ■✻❍
❆ ✯✕✭✩✭✩✲ ❆❈❍ ▼✜❬❦▲ ● ✱ ❜ ▼✩❙ ❆ ✲ ❆✍❆ ✫ ● ▲ ❆ ✫✮❳✴✲ ❆✴❖✷➓➔●❿❜ ✫✗▲❑✫ ❜ ✫✮❳✴✲ ❍✍■ ✲❺✲✧→❛✲ ❞✧❍❇●✩❊✬● ✯ ❍ ❙✗✫✗✲✴✱ ❆✉● ▲ ✈❇●✩❍ ✲P❙✗❙✗✫❘▲✕✭ ❥✇❆✉①❇②➆❆✍❍ ▼ ❍ ✫ ❆❈❍ ✫ ❞ ❯⑤❙ ●❂❞ ▼➣❢
❍ ✫ ● ▲❲▼✩▲❑❏ ❆✍❞ ▼✩❙✗✲↔▼✜✱✍✲✠✲ ❆❈❍ ✫ ❜ ▼ ❍ ✲P❏❲✯ ❆ ✫❘▲✕✭ ❜ ✲P❏❑✫✗▼✩▲ ❆ ▼✩▲❭❏ ❍ ✱☛✫ ❜✠❜ ✲P❏ ❆❈❍ ▼✩▲❑❏❑▼✜✱☛❏⑦❏✕✲ ❄ ✫❘▼ ❍ ✫ ● ▲ ❆ ✫✗▲ ❆✍❍ ✲P▼✩❏ ●✩❊✉❞ ❙✗▼ ❆✍❆ ✫ ❞ ▼✩❙
❆ ▼ ❜ ◆❭❙✮✲ ❜ ✲P▼✩▲ ❆ ▼✩▲❑❏ ❆❈❍ ▼✩▲❑❏❭▼✜✱☛❏❋❏❑✲ ❄ ✫✗▼ ❍ ✫ ● ▲ ❆ q✓↕✣➙ ❆ t ❖➃➓❹■ ✲❺↕✣➙ ❆ ❝❪✲✴✱☛✲♣✲ ❆✍❍ ✫ ❜ ▼ ❍ ✲P❏✆▼ ❆➆★✜❖➉➛✩➈ ❯ ✳✣❖➉➜➣➝ ❯ ✳✣❖➍➌➞➝ ❯❭▼✩▲❑❏ ❍✍■ ✲
◆❦▼✩✫✮✱✍❝✚✫ ❆ ✲ ❞✧● ✱✍✱✍✲P❙✗▼ ❍ ✫ ● ▲ ❆ ❬❛✲ ❍ ❝✽✲✴✲P▲ ❍✍■ ✲ ❆ ✲ ❍✍■ ✱✍✲✴✲ ❄ ▼✜✱☛✫❘▼✜❬❭❙✮✲ ❆ ▼✜✱☛✲ ✳✣❖➉➈✩➜ q ✶✻✸✹✺✽✼❽✶✹❃✜❉✷❫♠✶✻✸✹✺✽✼✿❴✣❵❂❁ t❩❯ ✳✣❖➉➈ ➏➟q ✶✹✸✻✺✽✼❽✶✹❃✩❉✽❫
✶✹✸✹✺❪✼✓❴❂❵✣❁ t❩❯ ✳✣❖➉⑨✜✳ q ✶✻✸✹✺✽✼✿❴✣❵❂❁❪❫♠✶✻✸✹✺✽✼✿✾✕❀✹❁✕❃ t❩❯
➠ ➡⑩➢➔➤➔➥✙➦➒➧✰➨✓➤➔➩❡➫❛➭✩➯➳➲❡➨✙➵➞➸✽➥✓➫✕➯➃➵
➂➺✲✴✭ ❜ ▼✩▲➻▼✩▲❑❏❲➀♠▼✜✱ ❞❩■ ✲ ❍❈❍ ✲➟q✿➋ ✳✩✳✰➜ t✏▼✩❏ ❄✩●✣❞ ▼ ❍ ✲❋▼✁▲❑✲✴❝➼▼✜◆❑◆❑✱ ● ▼ ❞❩■➺❍❈●✄❄ ✫ ❆ ✯❭▼✩❙✗✫✮❳P✫✗▲✕✭ ❜ ▼ ❆✍❆ ✫ ❄ ✲✠❏❑▼ ❍ ▼ ❆ ✲ ❍✍❆ ❯ ❞ ▼✩❙✗❙✮✲P❏
❱❽✲ ❄✩● ❙❘✯ ❍ ✫ ● ▲❑▼✜✱✍❚➻❏❑✫ ❆ ◆❭❙❘▼P❚ ❆✴❖ ❨➽➀✄▼ ❆✍❆ ✫ ❄ ✲❤❏❑▼ ❍ ▼ ❆ ✲ ❍✍❆ ▼✜✱✍✲ ❍❈●✹● ❙✗▼✜✱☛✭✩✲ ❍❈● ❏❑✫ ❆ ◆❭❙✗▼P❚❲✯ ❆ ✫✗▲✕✭♠✭✩✱☛▼✜◆ ■❑❆ ▼✩▲❑❏➾◆❭❙ ●✩❍✍❆④❍✍■ ▼ ❍
▼✜✱☛✲❲❏✕✲ ❆ ✫✮✭✰▲✕✲P❏ ❊✥● ✱ ❜r● ❏✕✲✴✱☛▼ ❍ ✲➺❏❑▼ ❍ ▼ ❆ ✲ ❍✍❆❤●✩❊❇➚♦➪✹➶☛➹➄❆ ✫✮❳✴✲ ❖➘➓ ✱❩▼✩❏❑✫ ❍ ✫ ● ▲❑▼✩❙❘❙✮❚✩❯ ❆ ✯ ❞❩■ ◆❭❙ ●✩❍✍❆❤❜ ✫✮✭ ■✹❍ ❬❛✲❸✯✕◆❣❏❑▼ ❍ ✲P❏
●✣❞✴❞ ▼ ❆ ✫ ● ▲❭▼✩❙✗❙✮❚⑦▼ ❆ ▲✕✲✴❝➴❏❭▼ ❍ ▼ ❍ ✱❩✫ ❞✍➷ ❙✮✲❤✫✗▲➾▼ ❍ ▼❸❙ ● ❝➬✱☛▼ ❍ ✲✩❯✽▼ ❆ ❯ ❊✥● ✱❅✲✧❾✣▼ ❜ ◆❦❙✮✲✩❯❡✫✗▲ ❜ ✲P❏❑✫ ❞ ▼✩❙ ❆✍❍ ✯❑❏❑✫✮✲ ❆④● ✱ ❞ ❙✗✫✗▲ ❞ ✫❘▼✩❙
❍ ✱❩✫✗▼✩❙ ❆✴❖➺➮ ▲ ❍ ✲✴✱❩▲✕✲ ❍r❍ ✱☛▼✜➱ ❞ ❏❑▼ ❍ ▼✣❯ ❄✩● ✫ ❞ ✲ ❞✧●✰❜✠❜ ✯❑▲❑✫ ❞ ▼ ❍ ✫ ● ▲✃❏❑▼ ❍ ▼✣❯❪◆❭▼✜✱ ❍ ✫ ❞ ❙✗✲❿◆ ■ ❚ ❆ ✫ ❞✴❆ ❏❑▼ ❍ ▼✣❯❪▼✩▲❭❏ ❆ ▼ ❍ ✲P❙✗❙✗✫ ❍ ✲✆❏❑▼ ❍ ▼
▼✜✱☛✲✠▼✩❙✗❙ ❆ ✫ ❍ ✯❑▼ ❍ ✫ ● ▲ ❆ ❝ ■ ✲✴✱✍✲❅❏❑▼ ❍ ▼❤▼✜✱✍✲r✭✩✲P▲✕✲✴✱☛▼ ❍ ✲P❏⑦▼ ❍ ▼ ❄ ✲✴✱☛❚ ■ ✫✗✭ ■ ✱❩▼ ❍ ✲ ❖ ➅ ❆❺❜r● ✱✍✲r❏❑▼ ❍ ▼❤▼✜✱✍✲❅✭✩✲P▲✕✲✴✱❩▼ ❍ ✲P❏❣❯ ❍✍■ ✲
❆ ✫✮❳✴✲ ❆♣●✩❊❡❆❈❍❈● ✱☛▼✜✭✩✲r❏✕✲ ❄ ✫ ❞ ✲ ❆ ✫✗▲ ❞ ✱✍✲P▼ ❆ ✲✩❯⑤❝ ■ ✫ ❞☛■ ◆❛✲✴✱ ❜ ✫ ❍♣❜r● ✱✍✲❅❏❑▼ ❍ ▼ ❍❈● ❬❛✲ ❆❈❍❈● ✱✍✲P❏❣❯❣▼✩▲❑❏❸❙✗▼✜✱✍✭✩✲✴✱ ❆❈❍❈● ✱☛▼✜✭✩✲r❏✕✲ ❄ ✫ ❞ ✲ ❆
❍❈● ❬⑤✲❺❏❑✲ ❆ ✫✮✭✰▲✕✲P❏ ❖✷❐ ✱☛▼✜◆ ■ ✫ ❞ ▼✩❙❣❏❑✫ ❆ ◆❭❙❘▼P❚ ❆✉❜ ✯ ❆✍❍ ▼ ❞✴❞✧●✰❜r● ❏❭▼ ❍ ✲ ❍✍■ ✲ ❞✧● ▲ ❍ ✫✗▲❂✯❑▼✩❙❒▲❭▼ ❍ ✯✕✱✍✲ ●✩❊✬❆ ✯ ❞❩■✄❆❈❍ ✱✍✲P▼ ❜ ✫✗▲✕✭✠❏❑▼ ❍ ▼ ➑
❍ ✱❩▼✩❏❑✫ ❍ ✫ ● ▲❑▼✩❙ ❆❈❍ ▼ ❍ ✫ ❞ ✭✩✱☛▼✜◆ ■❑❆ ▼✜✱☛✲✆✫❘▲❑▼✩❏✕✲P❮❂✯❑▼ ❍ ✲✩❯❡▼✩▲❑❏➻✲ ❄ ✲P▲❧❏✕❚✣▲❑▼ ❜ ✫ ❞ ✭✩✱☛▼✜◆ ■❑❆ q ➜ ❢❰➙Ï◆❭❙ ●✩❍✍❆ ❯➒✭✩✱❩▼✩▲❑❏ ❍❈● ✯✕✱P❯➒✲ ❍✍❞✜❖ t
▼ ❆☛❆ ✯ ❜ ✲❺▼rÐ❑❾❂✲P❏ ❆ ▼ ❜ ◆❭❙✮✲ ❆ ✫✮❳✴✲ ❖
➓❹■ ✲ ❞✧● ▲ ❞ ✲✴◆ ❍ ❬❛✲ ■ ✫❘▲❑❏✏✲ ❄✩● ❙❘✯ ❍ ✫ ● ▲❑▼✜✱✍❚⑩❏❑✫ ❆ ◆❦❙✗▼P❚ ❆ ✫ ❆◗❍❈● ✲✧❾ ■ ✫✮❬❭✫ ❍ ❏❑▼ ❍ ▼✞❝✚✫ ❍✍■ ✫✗▲ ❍✍■ ✲ ❜r●✰❆❈❍➃❞ ✯✕✱✍✱☛✲P▲ ❍✬❍ ✫ ❜ ✲ ❊ ✱☛▼ ❜ ✲✩❯
EWMA on T−Squared (lambda = 0.5)
PA
20
0
2000
4000
T
PE
50
30
40
MEWMA statistic
60
R
70
ÑPÒ
6000
8000
10000
Ó✬Ô✮Õ✰Ö❑×✍Ø Ñ✩Ñ✜Ù❪Ú Ö❑Û✮Ü✍Ô✮Ý✜Þ✜×☛Ô✗Þ✜Ü❈Ø❺ß❡à Ú♠á➐â Û✮ã✩Ü✉ã✩ä✬å✚ã✩Ü❈ØPÛ✗Û❘Ô✗æ✕Õ✕ç✇è✷é❇ê➣ë❭Û❘Þ✩è❈Ü Ñ✴ì ë ì✩ì✩ì Ý✜Þ✩Û✗Ö✕ØPè
AF
Time of session
DR
C0
4
í ✍× ã â❑â Ô✗æ❑Õ❺ã✜î❸ã✰Û í❋í Þ✜Ü✍ÞrÞ✩æ í❿ï Þ✜ð❂Ô✗æ❑Õ④×✍ã❂ã ï ä✥ã✩× ï ã✰è❈Ü✷×✍ØPñ✧ØPæ✻Ü í Þ✜Ü✍Þ✣ò❡Ó✕ã✩×✉Ø✧ó✕Þ ï â Û✮Ø✩ë✕Ô✗æ✆Ó✬Ô✮Õ✰Ö✕×✍Ø Ñ✩Ñ ë❑æ✕Ø✴ô í Þ✜Ü✍Þ
ñ✧ã ï Ø♠Ô✗æ✃ã✰æ❧Ü✍õ❑Ø✁×☛Ô✮Õ✰õ✹Ü✠Þ✩è✠ã✰Û íöí Þ✜Ü✍Þ➺ã✰æ♥Ü✍õ❑Ø✄Û✮Ø✴ä✥Ü✠Þ✜×✍Ø â Ö❑è☛õ✕Ø í ã✜î➄Ü✍õ✕Ø✄è✍ñ✧×✍Ø✴ØPæ❒òö÷❹õ❑Ô✗è❅Ü❈ØPñ❩õ❑æ❑Ô✗ø❂Ö✕Ø✄ñ✴Þ✩æöù❛Ø
Þ â❭â Û✗Ô✮Ø í Ü❈ã í Ô✗è☛ñ✧×✍Ø✴Ü❈Ø í Þ✜Ü✍Þ❿Þ✩è♣ô❪ØPÛ❘Û✿ò❹Ó✬Ô✮Õ✰Ö✕×✍Ø ÑPÒ Ô✗è❇Þ↔ô✷Þ✜Ü❈Ø✴×✍ä➊Þ✩Û✗Û í Ô✗Þ✜Õ✩×☛Þ ï è✍õ✕ã❶ô❇Ô✗æ✕Õ↔Ü✍õ❑Ø④Þ✩ñ✴ñ✧ØPè✍è✞ã✩ä➒Ü✍õ✕Ørú✩û✩û✩ü✩ú
è✍ã✰Ö✕×☛ñ✧Ø❅ýÿþ➳Þ í❑í ×✍ØPè✍è✍ØPè Ù Þ â ã✰Ô✗æ✹Ü✞Ô✗è â Û✮ã✩Ü❈Ü❈Ø í Þ✜Ü❺Û✮ã✣ñ✴Þ✜Ü✍Ô✮ã✰✁
æ ✄✂✻✆ë ☎✞✝❩ë❣ô❇õ✕Ø✴×✍✟Ø ☎❇Ô✗æ í Ô✗ñ✴Þ✜Ü❈ØPè✞Ü✍õ✕Ørè❈ØPè✍è☛Ô✮ã✰æ➟è❈Ü✍Þ✜×✍Ü➆Ü✍Ô ï Ø
í ✠☞☛✍✌ ✂✏✎❑ã✰Û í✄í Þ✜Ü✍Þ í Ô✗è✍Þ â❑â ØPÞ✜×✉ã✜î➺Ü✍õ✕Ø④ù⑤ã✩Ü❈Ü❈ã ï ã✩ä➒Ü✍õ✕Ø✏è✍ñ✧×☛Ø✴ØPæ♠Þ✩è❇æ✕Ø✴ô í Þ✜Ü✍Þ❋ñ✧ã ï Ø④Ô❘æ✁Þ✜Ü✚Ü✍õ✕Ø
ô❇õ❑Ô✗ñ☛õ✄Þ✩ñ✴ñ✧ØPè✍è❈Ø ✡
Ü❈ã â ã✩ä❡Ü✍õ✕Ørè✍ñ✧×✍Ø✴ØPæ❣ò❺÷❹õ❑×✍Ø✴Ø⑩Ö❭æ✹Ö❑è☛Ö❑Þ✩Û✗✒Û ✑✆ä✥×✍ØPø✹Ö❑ØPæ✻Ü ✠✓☛✔✌ Þ í❑í ×✍ØPè✍è❈ØPè✞Þ✜×✍Ørõ❑Ô✮Õ✰õ❭Û✗Ô✮Õ✰õ✹Ü❈Ø í Ô✗æ♠Ü✍õ❑Ô✗è â Û✮ã✩Ü Ù ✠☞☛✍✌✖✕✘✗ ü✏✙✹ë
í ✠☞☛✍✌ ú✩û Ò ✕ ú❂ë➃ã✣ñ✴ñ✴Ö✕×✍×☛Ô❘æ✕Õ ÑPÒ ë Ñ û ì Ü✍Ô ï ØPè
ã✣ñ✴ñ✴Ö✕×✍×❩Ô✗æ✕Õ ✕ ✚ë ✙✜û ✕ Ü✍Ô ï ØP✛è ✎ ✠☞☛✍✌ Ñ ü✩û Ò û❂ë❡ã✣ñ✴ñ✴Ö✕×✍×☛Ô✗æ❑Õ ✕ ë ✕✜✕✘✗ Ü✍Ô ï ØP✢è ✎➃Þ✩æ ✣
➊Þ✩æ í Þ â❭â ØPÞ✜×❩è◗Þ✩è✬Ý✣Ô✮×✍Ü✍Ö❭Þ✩Û✗✒Û ✑➆Þ✞ñ✧ã✰æ✻Ü✍Ô✗æ❂Ö✕ã✰Ö❑è➒Û❘Ô✗æ✕Ø❪Ô❘æ④Ó✬Ô✮Õ✰Ö✕×☛Ø ÑPÒ ✝❩ò➃÷❹õ❭Ô✗è➔ô✷Þ✜Ü❈Ø✴×✍ä➊Þ✩Û✗Û í Ô✗è â Û✗✛Þ ✑❺Ô✗è â Þ✜×☛Ü✍Ô✗ñ✴Ö❑Û✗Þ✜✤× ✑❺Ö❭è❈Ø✴ä✥Ö❭Û
ä✥ã✩× ï ã✰æ❭Ô✮Ü❈ã✩×☛Ô✗æ✕Õ❅ä✥×✍ØPø❂Ö✕ØPæ❑✥ñ ✑❿ã✩ä◗è❈ã✰Ö❑×☛ñ✧Ø â ã✩×✍Ü✍è Ù è❈Ø✴Ø✏à➺Ø✴Õ ï Þ✩æ♠Þ✩æ í Ú Þ✜×☛ñ❩õ✕Ø✴Ü❈Ü❈✦Ø Ò✜ì✩ì ü❂ë â ★ò ✧ ì ú❂ë❦Ó◗Ô✗Õ✰Ö✕×✍Ø ✕ ✝❩ò
✩☞✪✔✫✭✬✯✮✱✰✳✲✵✴✳✬✷✶✜✸✺✹
Ú ã✰è❈Ü í ØPè❈Ü✍Ô✗æ❭Þ✜Ü✍Ô✮ã✰æ â ã✩×✍Ü❺æ❂Ö ï ù❛Ø✴×☛è❺ã❂ñ✴ñ✴Ö✕×✏ã✰æ❑✒Û ✑❸ã✰æ❑ñ✧Ø↔ã✩×④Ü❰ô✚Ô✗ñ✧Ø í Ö✕×☛Ô✗æ❑Õ❿Ü✍õ❑Ø↔õ✕ã✰Ö✕✛× ✎◗ã✩ä✷Ü✍õ✕Ø❋ü ✗ ì í Ô✗è❈Ü✍Ô❘æ❑ñ✧Ü
✻✞þ◗ã✩×✍Ü✍è✴ë Ò ✧✩ü✆ã✣ñ✴ñ✴Ö✕×✍×✍Ø í ã✰æ❑✒Û ✑✄ã✰æ❭ñ✧Ø✩ë ✕ ✙❿ã✣ñ✴ñ✴Ö✕×✍×✍Ø í Ü❰ô✚Ô✗ñ✧Ø✩ë ✗ ã❂ñ✴ñ✴Ö❑×✍×✍Ø í ü❿Ü✍Ô ï ØPè✴ë♦û✆ã✣ñ✴ñ✴Ö✕×✍×✍Ø ✼í ✕ Ü✍Ô ï ØPè✴òr÷❹õ✕Ø
×☛Ø ï Þ✩Ô✗æ❑Ô✗æ❑Õ Ò ✙ â ã✩×✍Ü✍è❪ã✣ñ✴ñ✴Ö✕×✍×✍Ø í❿ï ã✩×✍Ø❇Ü✍õ❑Þ✩æ❤û❺Ü✍Ô ï ØP✢è ✎✹Ü✍õ❑Ø❇Ø✧ó✕ñ✧Ø â Ü✍Ô✮ã✰æ❑Þ✩Û⑤ñ✧ã✰Ö❑æ✹Ü✍è✷Þ✜×✍✾Ø ✽ ✌☞✿✏❀❂❁❃✗ ì ✥ô✽Ø✴ù❒ë Ñ✩Ñ ú❂ë Ñ ü ✕
Ü✍Ô ï ØP❄è ✝❩ë Ò ❃û ï Þ✩Ô✗✷Û ❰❅ è ï Ü â ë✹ú❂ë Ñ ✗ ú❺Ü✍Ô ï ØPè❄✝❩ë ✕✜✕ ❆ü ➊è❈ØPñ✴Ö✕×✍Ø✉ô✽Ø✴ù❒ë Ñ✩Ñ ë➉ú Ò ✙✜✝❩ë✕û✩û ✕ Ò✜ì✩ì Ü✍Ô ï ØP❇è ✝❩ë✻Þ✩æ í Ñ✩Ñ ❃ü ÑPÒ ✗ Ü✍Ô ï ØP❄è ✝❩ò
❈ Ø✴Ü❈Ü✍Ô✗æ✕Õ✏Þ✩è✍Ô í Ø✉Ü✍õ✕❆Ø ❽❉ ô✽ØPÛ✗Û✷❅✓ð✣æ✕ã➞ô✚✓æ ❊ â ã✩×✍Ü✍è ✔ì ❋❦Ñ✴ì✰Ò ü❂ë✣ô✽Ø â Û✗ã✩Ü➃Ü✍õ✕Ø❹ã✣ñ✴ñ✴Ö✕×✍×✍ØPæ❭ñ✧Ø❹ã✩ä í ØPè❈Ü✍Ô✗æ❑Þ✜Ü✍Ô✗ã✰æ â ã✩×✍Ü✍è➃æ❂Ö ï ù❛Ø✴×✍Ø í
í ● Þ✜Õ✄Þ✩è❺Ö❭æ✹Ö❑è☛Ö❑Þ✩Û➒Þ✩æ✘✑✼✽ ✌☞✿✏❀❂❁ Ü✍õ❑Þ✜Ü
Ñ✴ì✰Ò ✕ Þ✩æ í Þ✜ù❛ã❶Ý✩Ø✩ë◗ô✚õ❑Ô❘ñ☛õ➺è✍õ✕ã✰Ö❭Û í Þ✜×☛Ô✗è❈Ø ï ã✩×☛Ørã✩×✏Û✮ØPè✍è❺Þ✜Ü✏×☛Þ✩æ í ã ï ë♦Þ✩æ ✼
Ô❘è➆×✍Ø✴ä✥Ø✴×✍ØPæ❑ñ✧Ø í⑦ï ã✩×✍Ø✠Ü✍õ❑Þ✩æ Ñ✴ì Ü✍Ô ï ØPèPò❋Ó✬Ô✮Õ✰Ö✕×✍Ø Ñ ü❤è✍õ✕ã➞ô✚è❺Ü✙ô❪ã➟è✍Ö❑ñ❩õ â Û✮ã✩Ü✍✢è ✎✬ã✰æ✕Ø↔ä ã✩❍× ✽ ✌☞✿✏❀❂❁ ➊ñ✧ã✰Û✗ã✩×⑩ñ❩õ❑Þ✩æ✕Õ✩ØPè
Ô❘æ í Ô✗ñ✴Þ✜Ü❈■Ø ✽ ✌☞✿✏❀❂❁ Þ✩ñ✴ñ✧ØPè☛è➒ñ✧ã✰Ö❑æ✻Ü✍è♦Õ✩×✍ØPÞ✜Ü❈Ø✴×✬Ü✍õ❑Þ✩æ Ñ✴ì ë✩Ô✗æ í Ô✗ñ✴Þ✜Ü✍Ô✗Ý✩Ø➃ã✩ä â ã✩Ü❈ØPæ✻Ü✍Ô✗Þ✩Û❘✒Û ✑➆õ❑Ô✮Õ✰õ➆Ü❈×☛Þ✭❏❋ñ❡ã✰æ✏Ü✍õ❑Ô✗è í ØPè❈Ü✍Ô✗æ❑Þ✜Ü✍Ô✮ã✰æ
â ã✩×✍❄Ü ✝❩ë♦Þ✩æ í ã✰æ✕Ørä✥ã✩× ✠☞☛✍✌ Ô❘æ♠Ü✍õ❑▲Ø ❑❑×☛è❈Ü Ñ✴ì ë ì✩ì✩ì è❈ØPè✍è✍Ô✮ã✰æ❸×✍ØPñ✧ã✩× í ▼è ➊ñ✧ã✰Û✮ã✩×✏ñ❩õ❑Þ✩æ✕Õ✩ØPè④Ô✗æ í Ô✗ñ✴Þ✜Ü❈Ø ✠✓☛✔✌ ã❂ñ✴ñ✴Ö❑×✍×✍ØPæ❑ñ✧ØPè
ã✩ä ï ã✩×✍Ø❤Ü✍õ❭Þ✩æ♥û ì ✝❩òöÓ✕ã✰Ö✕×↔Ö❭æ✹Ö❑è☛Ö❑Þ✩Û✗Û✒✑➺ä✥×✍ØPø❂Ö✕ØPæ✻Ü✠è✍ã✰Ö✕×☛ñ✧Ø❤ý❽þ Þ í❑í ×✍ØPè☛è❈ØPèrÞ✜×✍Ø✁Ô ï✠ï Ø í Ô✗Þ✜Ü❈ØP✒Û ✑➻Ø✴Ý❂Ô í ØPæ✻Ü Ù ✕✘✗ ✏ü ✙✹ë
Ñ ü✩ú Ò ú❂ë❣ü✩ü ✕ Ò ✗ ë✇Þ✩æ í ú✩û Ò ✕ ú❂ë❭ô✚õ❭Ô✗ñ☛õ✆ã✣ñ✴ñ✴Ö✕×❇✏ü ✙ Ñ ë ✕ Ò✩Ò ë ✕ ✙✭✧❂ë❦Þ✩æ í ✧ Ò ú❅Ü✍Ô ï ØPè✴ë✕×☛ØPè â ØPñ✧Ü✍Ô✮Ý✩ØPÛ✒✑✩ë❑Ô✗æ✆Ü✍õ✕◆Ø ❑❭×☛è❈Ü Ñ✴ì ë ì✩ì✩ì
è✍ØPè✍è✍Ô✮ã✰æ❑èPò✏÷❹õ✕Ørñ✧ã✰æ❑è❈Ü❈×❩Ö❑ñ✧Ü✍Ô✮ã✰æ➟ã✩ä✽Ü✍õ❑Ô✗è â Û✮ã✩Ü✞×✍ØPè❈Ø ï ù❭Û✮ØPè♣Ü✍õ✕ØrÜ❈×❩Þ✩ñ✴Ô✗æ✕Õ✆ã✩ä✽Þ✆è❈ð❂✑✣Û✗Ô✗æ✕Ø✩ë❣è❈ã✆ô✽Ø✠ñ✴Þ✩Û✗Û➒Ô✮Ü➆✣
Þ ❉❈è❈❖ð ✑✣Û✗Ô✗æ❑Ø
Ø ❈❉ è✍❖ð ✑✣Û✗Ô✗æ✕Ø✛❊ â Û✮ã✩Ü✍è❇ô✚Ô✗Û✗Û í Ø â ØPæ í Ö â ã✰æ❤Ü✍Ô ï Ø④ã✩ä í ✛Þ ✑✩ë í ✛Þ ✑✄ã✩ä➒ô❪Ø✴Ø✴ð⑤ë⑤Þ✩æ í â ã✩Ü❈ØPæ✻Ü✍Ô❘Þ✩Û✗✒Û ✑
â Û✮ã✩Ü✴Pò ❊✁◗➔Ô ï Ô✮Ü✍è✉ã✰æ♠Ü✍õ✕ØPè❈❘
ï ã✰æ✻Ü✍õ❤ã✩×♣è❈ØPÞ✩è❈ã✰æ❣ò
❙✛❚
Source IP address
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10
0
❯❲❱✒❳✏❨✓❩✤❬
20000
❙✛❭❂❪❴❫❛❵✭❜ ❬✢❩✤❝ ❵✜❞❡❞■❢ ❱ ❵ ❳✜❩ ❵✜❣✐❤❦❥☞❧♥♠ ❱♣♦☞❳rq☞s✍t
❬ ❤ ❱♣♦
❧ ♦
❜✤❥ ❬
❜✞❧ ⑤ ✈
50000
60000
IP
❵✜✉✢✉ ❬ Source
❤ ❤✢✈✟✇①
✤
❞❡❢ ❬ ❤✞❜①❢✓❵✭❜✤❵②❵✭❜①❜✤❥ ❬✟③ ❧✜❜✞❜✞❧✏❣④❧ ❝ ❜✤❥ ❬⑥⑤ ❞✒❧✜❜✢⑦ ♦☞❬ ♠ ❬ ❤✞❜
DR
10
20
40000
0
Number of occurrences
30
40
C0
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time
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Skyline Plots
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05
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secnerrucco fo rebmuN
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❯⑨❱❡❳✏❨☞❩✤❬
4000
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Dport number
8000
10000
❙✛❚❂❪❶⑩❸❷❖❹❸❞ ❱❡♦☞❬❴⑤ ❞✒❧✜❜✤❤✛✈✾❺❻❵✘❼❄❪❾❽ t❸❿✘➀❖➁
❵✜✉✢✉ ❬ ❤✤❤✢⑦➂❺ ③ ❼❄❪➃⑩❂❧ ❨☞❩ ✉ ❬❍➄➆➅
❵✜✉✢✉ ❬ ❤✤❤
➇✥➈
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T
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C0
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PA
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R
➉ ➊❲➋➍➌➎➌➐➏➒➑✜➓➔➏➒→➍➣↕↔✞➋❾➑✜➙✏➛➝➜✓➑r➞②➟✆➑✏➠
✾➡ ➢✓➤❡➥➝➦✭➧❦➨✤➤❡➩✢➫✒➭➯➢⑧➦✜➥➍➢✓➤❡➲✏➢✓➫❡➤✒➲✏➢❖➨✞➭✛➳▼➥✞➭✢➵✜➭✢➧❄➦✜➫➺➸✜➻➼➨✤➢✓➭❴➩❄➢✓➦✜➫❡➫✒➭✛➽☞➲✜➭✛➥➃➨✤➢✓➦✭➨❶➦✭➧❦➤❡➥✤➭➯➤❡➽❆➦✜➽✓➦✜➫✒➾❂➚✛➤❡➽☞➲➪➦✜➽⑧➳❆➳✓➤♣➥✞➶⑧➫❡➦♥➾❂➤❡➽✓➲➘➹❃➦✜➥✤➥✤➤✒➵✜➭
➳⑧➦✭➨✤➦✦➥✞➭✢➨✤➥✢➴▼➷❂➸✏➹▲➭❃➥✤➤♣➹▲➶⑧➫✒➭⑥➥✞➨✤➦✭➨✤➤❡➥✤➤✒➨✤➤♣➩✢➥①➬⑧➦✜➥✞➭✛➳✼➸✏➽✡➧✤➸✜➬➺➮✓➥✞➨①➱❖➮✓➦✜➽❖➨✤➤✒➨✤➤✒➭✛➥◆➦✭➧❦➭❃➮✓➥✞➭✢➻❻➮✓➫⑨➻✱➸✜➧➘➩❄➢✓➦✭➧❦➦✜➩✥➨✞➭✢➧❦➤✒➚✛➤♣➽☞➲✦➨✃➾❂➶⑧➤❡➩✢➦✜➫
➬➒➭✛➢✓➦♥➵❂➤❡➸✜➧➃❐✺➭✜➴❒➲☞➴✒❮✏➽❂➮✓➹❍➬➒➭✢➧✆➸✜➻☞➥✞➸✏➮✓➧❦➩✥➭➍➦✜➽✓➳➪➳☞➭✛➥✞➨✤➤❡➽⑧➦✭➨✤➤✒➸✏➽◆➶➒➸✜➧✤➨✤➥✢❮✭➦✜➽✓➳❍➥✤➸✏➮☞➧❦➩✥➭➝➦✜➽✓➳➪➳☞➭✛➥✞➨✤➤❡➽⑧➦✭➨✤➤✒➸✏➽➘❰ÐÏ❘➦✜➳⑧➳☞➧✤➭✛➥✤➥✞➭✛➥✛❮✍➦✜➽✓➳
➻✺➧✤➭✛➱❂➮☞➭✛➽✓➩✥➾✼➸✜➻✵➦✜➩✢➩✥➭✛➥✤➥❄Ñ❄➴Ò➡✵➢☞➭✛➥✞➭❆➩❦➢✓➦✭➧❦➦✜➩✥➨✞➭✢➧❄➤✒➚✛➦✭➨✤➤✒➸✏➽✓➥✟➥✤➮☞➲✜➲✜➭✛➥✤➨❍➲✜➧❦➦✭➶⑧➢⑧➤❡➩✢➦✜➫➝➳✓➤♣➥✞➶⑧➫❡➦♥➾❂➥◆Ó➯➢✓➤❡➩❦➢Ô➢✓➤✒➲✏➢✓➫❡➤❡➲✏➢✘➨➘➮✓➽❂➮✓➥✤➮⑧➦✜➫
➮⑧➥✤➦✭➲✜➭②➸✜➧✟➦✜➩✢➩✥➭✛➥❦➥✢➴✡Õ✡➭✦➳✓➤❡➥✤➩✢➮✓➥❦➥✞➭✛➳❛➨✤➢☞➭Ö➧✤➸✏➫✒➭Ö➸✜➻▼×Ð➭✢➵✜➸✏➫❡➮✓➨✤➤✒➸✏➽✓➦✭➧✤➾❛➲✜➧❄➦✭➶⑧➢✓➤❡➩✢➥✤Ø❘➸✏➽Ù➥✤➮✓➩❦➢✣➳✓➦✭➨✤➦❸❮➍➥✞➶➒➭✛➩✢➤✒Ú⑧➩✢➦✜➫❡➫✒➾✼➨✤➢☞➭
➮⑧➥✞➭➪➸✜➻➪×ÐÓ➃➦✭➨✞➭✢➧✤➻❻➦✜➫❡➫⑨➳✓➤❡➦✭➲✜➧❦➦✜➹▼➥✤Ø❸❮➼➦✜➽✓➳r➶⑧➧✤➸✜➶➒➸✏➥✞➭✛➳➐×✞➥✤Û❖➾❸➫❡➤❡➽☞➭❍➶⑧➫✒➸✜➨✤➥✤ØÖ➦✜➥①➦❆➹▲➭✛➦✜➽⑧➥➯➸✜➻➍➹▲➸✏➽✓➤✒➨✞➸✜➧❦➤♣➽☞➲❃➶➒➸✜➧✤➨✤➥❴➦✜➽✓➳r❰ÐÏ
➦✜➳⑧➳☞➧✤➭✛➥✤➥✞➭✛➥✛➴❾➡✵➢☞➭✛➥✞➭➘➹▲➭✢➨✤➢✓➸❂➳✓➥✵Ó➍➭✢➧✤➭➪➤❡➫❡➫❡➮✓➥✤➨✞➧❦➦✭➨✞➭✛➳Ö➸✏➽r➦▲➹▲➸❸➳☞➭✢➧❦➦✭➨✞➭✥Ü✃➥✤➤❡➚✢➭✛➳r➳✓➦✭➨✤➦❃➥✤➭✢➨➪❐Ð➇✛Ý✜Þ❂❮★ß✭à✏Þ❆➧✤➭✛➩✥➸✜➧❦➳✓➥❄Ñ❄➴➍á✓➮☞➨✤➮☞➧✤➭
Ó➃➸✜➧✤Û✟Ó✾➤❡➫♣➫❖➬➒➭✵➩✥➸✏➽✓➳⑧➮✓➩✥➨✞➭✛➳❃➸✏➽❃➥❦➤❡➹❃➤❡➫❡➦✭➧■➳✓➦✭➨✤➦➪➥✞➭✢➨✤➥➝➩✥➸✏➫♣➫✒➭✛➩✥➨✞➭✛➳❃➻✺➧✤➸✏➹â➤❡➽❖➨✞➭✢➧❦➽☞➭✢➨➍➥✞➭✛➥✤➥✤➤✒➸✏➽⑧➥✢❮✘➦✜➥❾Ó➃➭✛➫❡➫☞➦✜➥➝➸✏➽▼➳✓➦✭➨✤➦◆➻✺➧✤➸✏➹
➸✜➨✤➢✓➭✢➧✾Ú✓➭✛➫❡➳⑧➥➍Ó➯➢☞➭✢➧✤➭➘➹❃➦✜➥✤➥❦➤✒➵✜➭❍➳✓➦✭➨✤➦❃➥✤➭✢➨✤➥✾➦✭➧❦➤❡➥✤➭✜➴
ã✵ä✄å✢ä✢æ✞ä✢ç➺è❄ä✥é
➇✭➴➯êr➦✭➧❄➩❦➢☞➭✢➨✞➨✞➭✜❮✏ë①➦✛➵❸➤❡➳⑥ì☞➴❖❐✄í✭à✜à☞➇♥Ñ❄❮ïî■ð✭ñ➯ò➺ó☞ô ä✢æ■õ❄ç ô æ ó é❄ö ð ç⑥÷✟ä ô ä❦è ô ö ð ç▼ø✭ç➺ù✵ú⑥ä ô❻û➝ð æ❦ü❶ý ð ç✓ö ôþð æ❇ö✱ç❖ÿ ❮✘➷❂➶✓➧❦➤❡➽✓➲✜➭✢➧✛❮
➭✢Ó✂✁❾➸✜➧✤Û✳➴
í❂➴☎✄➘➢❂➮✓➹❍➬➺➦✜➢➼❮ ➴ ✝Ü ✆➪✟➴ ✞⑧Õ✡➭✢➲✏➹▼➦✜➽➼✡❮ ✾✠ ➴★ì☞➴ï❐✄í✭à✜à✏Ý✏Ñ❄❮ ×✞ë①➦✭➨✤➦❆➩✥➸✏➹❃➶✓➧✤➭✛➥✤➥✤➤❡➸✏➽②➬❖➾②➲✜➭✢➸✏➹▲➭✢➨✞➧❦➤♣➩❍➱❂➮✓➦✜➽✘➨✤➤❡➚✛➦✭➨✤➤✒➸✏➽➼❮PØ ã✵☞ä ☛
è❄ä✢ç ✍ô ✌ ✏ù ✎✍ø✜ç➺è❄ä✥é✖ø✜ç➺✒
ù ✑✓æ✤ä✥ç➺ù✍é✖ö✺ç✣ú ð ç ò ø✭æÐø ñ ä ô æ❄ö✄✔è ✓ ô ø ô ö♣é ô ö❻è✢é ❮➃➭✛➳✓➥✢➴ ê❛✕➴ ✆✾Û❂➧❦➤✒➨✤➦✜➥▲➦✜➽✓➳✁ë⑥➴ ➴➝Ï⑨➸✏➫❡➤✒➨✤➤❡➥✛❮
➸✜➧❦➨✤➢✗✖➯➸✏➫❡➫❡➦✜➽✓➳✘✠➍➫❡➥✞➭✢➵❸➤✒➭✢➧✛✙❮ ✆➯➹▼➥✞➨✞➭✢➧❦➳✓➦✜➹✦➴
Ý❂➴❴➷❸➤❡➫✒➵✜➭✢➧❄➹❃➦✜➽➼✙❮ ✚❴➴❒Õ➔➴❲❐Ð➇✜✛✣✢✜ß✏Ñ❄❮ ÷✟ä✥ç✓é❄ö ✥ô ✤✧✦ é ô ö ñ ø ô ö ð ç ✩❮ ❶★ ➢✓➦✭➶⑧➹❃➦✜➽✦➦✜➽⑧✪➳ ✖➯➦✜➫♣✬➫ ✫✮✆✭ ➸✏➽✓➳✓➸✏➽➼➴
➈☞➴✾➡➂➮✓Û✜➭✢➾✜❮❖ì✜➸✏➢✓➽⑥Õ ➴✓❐Ð✜➇ ✛✰✯✣✯✜Ñ❄✙❮ ✦✲❇✱ ò✴✳✒ð æ✞ø ôþð æ ✤ ÷⑥ø ô ø ✌ ç➺ø ✳✵✤ é❄ö✱é ✰❮ ✆❴➳✓➳✓➤♣➥✞➸✏➽❸ÜþÕ✡➭✛➥✤➫✒➭✢➾✜❮✰✶✾➭✛➦✜➳✓➤❡➽☞➲☞❮✘ê❘➦✜➥✤➥✤➦✜➩❄➢❖➮⑧➥✞➭✢➨✞➨✤➥✢➴
Þ❂➴✵Õ✡➭✢➲✏➹❃➦✜➽➼❮✷✠➝➳☞Ó❶➦✭➧❦➳rì✓✟➴ ✞➺ë①➦✛➵❸➤✒➭✛➥✢✷❮ ✖➪➴❒❰❄➴➂❐Ð✜➇ ✛✰✯✏✛✏Ñ❄❮ ✸× ✶✾➭✛➹❃➦✭➧✤Û❸➥✾➸✏➽❘➥✞➸✏➹▲➭❍➧❦➭✛➩✢➮☞➧❦➥✤➤✒➵✜➭◆➭✛➥✤➨✤➤❡➹❃➦✭➨✞➸✜➧❦➥➯➸✜➻■➦❃➶✓➧✤➸✜➬✓Ü
➦✭➬⑧➤❡➫❡➤❡➨✃➾❆➳✓➭✛➽✓➥✤➤✒➨ ➾✜❮P✹Ø ✌ ç✓ç➺ø ✳ é ð ✺å ✓ ô ø ô ö✱é ô ö✄è✥é ✯❖❮➺Ý❸➇✛ß✼✻❂Ý✜✰í ✯❖➴
ß❂➴✵Õ✡➭✢➲✏➹❃➦✜➽➼❮✽✠➍➳☞Ó❶➦✭➧❦➳✡ì☞➴✟✞ïê❘➦✭➧❦➩❦➢☞➭✢➨✞➨✞➭✜❮⑨ë①➦✛➵❸➤❡➳✡ì☞➴❾❐✄í✭à✜à✏Ý✏Ñ❄❮➯✿× ✾①➽✼➥✞➸✏➹❃➭⑥➨✞➭✛➩❄➢✓➽✓➤❡➱❂➮☞➭✛➥❴➻✺➸✜➧①➥✤➨✞➧✤➭✛➦✜➹❃➤❡➽☞➲②➳✓➦✭➨✤❀➦ ✫
✆➔➩✢➦✜➥✤➭➪➥✞➨✤➮✓➳✓➾▼➸✜➻❲➤❡➽✘➨✞➭✢➧❄➽☞➭✢➨ ➶⑧➦✜➩✤Û✜➭✢➨❴➢☞➭✛➦✜➳☞➭✢➧❦➥✛❮PØ✘❸❁ ð✜ó æ❇ç➺ø ✳⑨ð å î■ð✭ñ➯ò➺ó☞ô ø ô ö ð ç➺ø ✳ ø✭ç➺✔ù ❂➃æ✞ø ❄ò ❃ ö✄è❦ø ✳ ✓ ô ø ô ö♣é ô ö❻è✢é
➇✛í☞❐✺➈❖Ñ❄✷❮ ✢✣✜✛ ✼Ý ✻❅✛❸➇✥➈☞➴
✯❖➴✵Õ✡➭✢➲✏➹❃➦✜➽➼✲❮ ➍✠ ➳☞Ó❶➦✭➧❦➳ ì✓➴✟✞➝êr➦✭➧❦➩❄➢☞➭✢➨✞➨✞➭✜❮➍ë①➦♥➵❂➤❡➳✣ì☞➴❶❐✄í✭à✜à✭➈❖Ñ❄❮❍×❦➷❂➨✤➦✭➨✤➤❡➥✤➨✤➤❡➩✢➦✜➫➍➦✜➽⑧➦✜➫✒➾❂➥❦➤❡➥➘➸✜➻✵➽☞➭✢➨ Ó➍➸✜➧❦ÛÔ➳✓➦✭➨✤➦❘➻✱➸✜➧
➩✥➾❖➬➒➭✢➧❦➥✤➭✛➩✢➮☞➧❦➤✒➨ ➾✜❮PØÔ❆î ❃ ø✭ç➺è❇ä ✷❮ ✛✼✻➺✜➇ ❂✛ ➴