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11. π ∑ π “ ¿ “ … “ ∏ √ √ ¡ ‡ ≈à ¡ ˆ : 11
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12. ÒÚ
12 : w w w. k a n l a y a n a t a m. c o m
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14 : w w w. k a n l a y a n a t a m. c o m
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25. π ∑ π “ ¿ “ … “ ∏ √ √ ¡ ‡ ≈à ¡ ˆ : 25
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26. Úˆ
26 : w w w. k a n l a y a n a t a m. c o m
Òˆ. ‰¡àÕ“®‡ª√’¬∫‡∑’¬∫°—π‰¥â
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°—π‡æ√“–‡«≈“°”Àπ¥∑ÿ°Õ¬à“ß∑’Ë∑” ¡—π∑”‰¡à∑—𠇙à𠧑¥ÀπÕ
ª«¥ÀπÕ ·µà∂“¿“«π“«à“æÿ∑‚∏ ∑ÿ°Õ‘√¬“∫∂∑’∑”®– ß∫°«à“‰À¡
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‡ª√’¬∫‡∑’¬∫°—π‰¡à ‰¥â ∑—Èßπ’È¢÷ÈπÕ¬Ÿà°—∫®√‘µ¢ÕߺŸâªØ‘∫—µ‘
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§«“¡µ—Èß¡—Ëπ ( ¡“∏‘) ∑”‰¥â¬“° ·µà∂â“„™âÕ“√¡≥å°√√¡∞“π∑’Ë∂Ÿ°
µ√ß°—∫®√‘µ¢ÕߺŸªØ‘∫µ·≈â« ®‘µ®–‡¢â“∂÷ߧ«“¡‡ªìπ ¡“∏‘‰¥âß“¬
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∑ÿ°§πÕ¬Ÿà „π ¿“æ‡¥’¬«°—π§◊Õ µà“߬◊πÕ¬Ÿà∫π¢Õ∫°√–∑–
·≈–¡’ ‘∑∏‘Ï∑’Ë®–µ°≈߉ª„π°√–∑–‰¥â‡∑à“‡∑’¬¡°—π
(∫∑∑’Ë ÒÚ)
27. π ∑ π “ ¿ “ … “ ∏ √ √ ¡ ‡ ≈à ¡ ˆ : Ú˜
27
Ò˜. „™àÀ√◊Õ‰¡à
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∑”„Àâµ°π√°À√◊Õ¢÷π «√√§å Õ¬“°∂“¡«à“Õ–‰√‡ªìπµ—«∑’Ë ‰ªµ°π√°
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Õ°ÿ»≈°√√¡ —Ëß ¡·≈–√–≈÷°‡ÀÁππ‘¡‘µ‰¡à¥’°àÕ𵓬 ‡™àπ ‡ÀÁπ
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∑“π·≈–√—°…“»’≈Õ¬Ÿà‡π◊Õßπ‘µ¬å ·≈–√–≈÷°‡ÀÁππ‘¡‘µ¥’°àÕ𵓬
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28. Ú¯
28 : w w w. k a n l a y a n a t a m. c o m
Ò¯. «‘≠≠“≥¡’®√‘ßÀ√◊Õ
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∂â“«‘≠≠“≥À¡“¬∂÷ß®‘µ °ÁµâÕß∫Õ°«à“«‘≠≠“≥¡’®√‘ß
®‘ µ ‡ªì π æ≈— ß ß“π∑’Ë ¡’ § «“¡∂’Ë § ≈◊Ë π ≈–‡Õ’ ¬ ¥ ‡§√◊Ë Õ ß¡◊ Õ
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°√√¡∞“π·≈–«‘ª π“°√√¡∞“π ®π‡¢â“∂÷ß«‘ª π“≠“≥‰¥â·≈â«
í í
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29. π ∑ π “ ¿ “ … “ ∏ √ √ ¡ ‡ ≈à ¡ ˆ : 29
Ú˘
Ò˘. ·§à§‘¥°Á∫“ª·≈â«
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30 : w w w. k a n l a y a n a t a m. c o m
Ú. ¢÷Èπ‡À¡◊Õπ - ≈ßµà“ß
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ª√“√∂π“¥’ Ú.°√ÿ≥“ §«“¡ ß “√§‘¥™à«¬„Àâæâπ∑ÿ°¢å Û.¡ÿ∑‘µ“ §«“¡¬‘π¥’
Ù.Õÿ‡∫°¢“ §«“¡«“ß„®‡ªìπ°≈“ß («‘ ÿ∑⁄∏‘.2/124)
Õ“À“‡√ªØ‘°Ÿ≈ —≠≠“ Ò (°”Àπ¥æ‘®“√≥“§«“¡‡ªìπªØ‘°Ÿ≈„πÕ“À“√)
®µÿ∏“µÿ««—Ø∞“π Ò (°”Àπ¥æ‘®“√≥“∏“µÿ Ù) Õ√Ÿª Ù (¨“π¡’Õ√Ÿª∏√√¡
‡ªìπÕ“√¡≥å) Ò.Õ“°“ “π—≠®“¬µπ– ¨“πÕ—π°”Àπ¥Õ“°“»§◊Õ™àÕß«à“ßÀ“∑’Ë ÿ¥
¡‘‰¥â‡ªìπÕ“√¡≥å Ú.«‘≠≠“≥—≠®“¬µπ– ¨“πÕ—π°”À𥫑≠≠“≥À“∑’Ë ÿ¥¡‘‰¥â
‡ªìπÕ“√¡≥å Û.Õ“°‘≠®—≠≠“¬µπ– ¨“πÕ—π°”Àπ¥¿“«–∑’‰¡à¡Õ–‰√ Ê ‡ªìπÕ“√¡≥å
Ë ’
Ù.‡π« —≠≠“π“ —≠≠“¬µπ– ¨“πÕ—π‡¢â“∂÷ß¿“«–¡’ ≠≠“°Á ‰¡à„™à ‰¡à¡ ≠≠“°Á‰¡à„™à
— ’—
(∑’.ª“.11/235/235; Ì. Ã.18/159/326.)
32. ÛÚ
32 : w w w. k a n l a y a n a t a m. c o m
ÚÒ. Õ¥’µ∑’˺à“π‰ª·≈â«
§”∂“¡
∂Ⓡ√“Ωíπ‡ÀÁπ§π∑’‡ ’¬‰ª·≈â«·µàΩπ„π√Ÿª∑’‡¢“µ—«‡ªìπ Ê
Ë í Ë
§◊Õ¬—߉¡àµ“¬®–‡ªì𧫓¡®√‘ßÀ√◊Õ‰¡à‡æ√“–µÕπ‡ªìπ°àÕπ‡ ’¬
™’«‘µ‡¢“‰«âº¡¬“« ·µàæÕ‡¢“„°≈⇠’¬‡¢“µ—¥º¡ —Èπ ‡π◊ËÕß®“°
‡ªìπ¡–‡√Áß Õ¬“°∑√“∫«à“ ‡ªì𧫓¡Ωíπ®√‘ßÀ√◊Õ §«“¡Ωíπ·∫∫
‡√“§‘¥∂÷߇¢“‡Õß
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Ωíπ‡ªìπ°“√‡ÀÁπ‡√◊ËÕß√“«‡¡◊ËÕÀ≈—∫‰¡à π‘∑ ‡ªìπ°“√À«π
°≈—∫¢Õß —≠≠“∑’Ë®‘µ∫—π∑÷°‰«â ¥—ßπ—Èπ∑’˧ÿ≥Ωíπ‡ÀÁπ§πµ“¬„π
¿“æ∑’ˬ—ß¡’™’«‘µÕ¬Ÿà ‡ªìπ°“√Ωíπ®√‘ߢÕߧÿ≥ ·µà∫ÿ§§≈∑’Ë∂Ÿ°Ωíπ
∂÷ß ‰¡à¡’Õ¬Ÿà®√‘ß„πªí®®ÿ∫—π ºŸâ ‰¡à√Ÿâª≈àÕ¬‡«≈“„Àâ Ÿ≠‡ª≈à“°—∫ ‘Ëß∑’Ë
ºà“π‰ª·≈â«
≈Ÿ°√—°... «—¥∑’Ë¥’ „πÕÿ¥¡§µ‘¢ÕßæàÕ§◊Õ ‡¢â“¡“°Á‡¬Áπ„®
Õ¬ŸàÕ“»—¬°Á ÿ¢„® ÕÕ°‰ª·≈â«°Á ∫“¬„®
π’Ë·À≈– «—¥∑’ËæàÕµâÕß°“√≈–
(∫∑∑’Ë Ù/Ú)
33. π ∑ π “ ¿ “ … “ ∏ √ √ ¡ ‡ ≈à ¡ ˆ : ÛÛ
33
ÚÚ. ∑”‰¥â·≈â«¥’π–
§”∂“¡
‡√“®–∑”„À⮑µ‡ªìπÕ‘ √–‰¥âÕ¬à“߉√ ‡æ◊ËÕ‰¡à„Àâµ°‡ªìπ
∑“ ¢Õß«—µ∂ÿ
§”µÕ∫
æ—≤π“ªí≠≠“‡ÀÁπ·®âß„À⇰‘¥¢÷Èπ ‚¥¬π”µ—«‡Õ߇¢â“ Ÿà
°“√ªØ‘∫µ°√√¡∞“π ‡¡◊Õ∫√√≈ÿ ¡√√§º≈‡°‘¥ªí≠≠“‡ÀÁπ·®âß ‡ÀÁπ
— ‘ Ë
∂Ÿ°µ√ßµ“¡§«“¡‡ªìπ®√‘ß·≈â« µâÕß√—°…“ªí≠≠“‡ÀÁπ·®âß„Àâ§ßÕ¬Ÿà
·≈â«„™âª≠≠“‡ÀÁπ·®âß àÕßπ”∑“ß„Àâ°∫™’«µ®‘µ®÷ß®–√Ÿ‡∑à“∑—π«—µ∂ÿ
í — ‘ â
„™â«—µ∂ÿ„À⇰‘¥ª√–‚¬™πå ‰¥âª√–‚¬™π宓°«—µ∂ÿ ·≈–∑’Ë ”§—≠®‘µ‰¡à
‡ªìπ∑“ ¢Õß«—µ∂ÿ ≈Õß∑”¥Ÿ ‘∑”‰¥â·≈â«¥’π–
≈Ÿ°√—°... πÈ”‡æ’¬ßÀ¬¥‡¥’¬«
®–¡’§à“¡“° ”À√—∫™’«‘µ„π∑–‡≈∑√“¬
∑”‰¡æ«°‡√“®÷ß∫â“∫ÿ≠‡©æ“–„π«—¥
∑”‰¡‰¡àÀ—π‰ª∑”∫ÿ≠ °—∫§π∑’˵âÕß°“√πÈ”
‡À¡◊Õπ§π∑’ËÕ¬Ÿà „π∑–‡≈∑√“¬∫â“ß
(∫∑∑’Ë ˆ/ÚÚ)
34. ÛÙ
34 : w w w. k a n l a y a n a t a m. c o m
ÚÛ. ‡Àµÿ‡°‘¥®“°°“√‡∫’¬¥‡∫’¬π
§”∂“¡
πâÕß “«ªÉ«¬Àπ—° ‡ªìπ¡–‡√Áß√–¬– ÿ¥∑⓬ ®–„À⧒‚¡
„π«—π՗ߧ“√∑’Ë®–∂÷ßπ’È ª√“√∂π“∑’Ë®–„ÀâÕ“®“√¬å‡¡µµ“„Àâ¢âÕ
∏√√¡–·∫∫°√–™— ∫ —È π ·°à ºŸâ ªÉ « ¬ ‡æ◊Ë Õ ‡ªì π ∑’Ë æ÷Ë ß „π¬“¡Õ¬Ÿà
∑ÿ°¢‡«∑π“∑—Èßπ’È°“√√—°…“°Á¬—߉¡à∑√“∫«à“®– —¡ƒ∑∏‘Ϻ≈·§à ‰Àπ
ª“Ø‘À“√‘¬¡’®√‘߉À¡∑’Ë®–™à«¬„ÀâÀ“¬ªÉ«¬
å
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·ºà‡¡µµ“„ÀⷰຟâªÉ«¬π—Èπ ∂ⓧÿ≥¡’‡¡µµ“°Á “¡“√∂·ºà
„Àâ ‰¥â à«πºŸª«¬®–Õ¬Ÿà„π ¿“æ∑’®–√—∫‰¥âÀ√◊Õ‰¡àππÕ’°‡√◊ÕßÀπ÷ß
â É Ë —È Ë Ë
°“√°√–∑”∑’Ë¥’°«à“„π¬“¡π’ȧ◊Õ ºŸâªÉ«¬µâÕߙ૬µ—«‡Õß ¥â«¬°“√
‡®√‘≠Õ“π“ª“π µ‘Õ¬Ÿà∫àÕ¬ Ê ·≈â«Õÿ∑‘»§«“¡¥’∑’Ë∑”·≈â«„π
·µà≈–§√—Èß„Àâ·°à‡®â“°√√¡π“¬‡«√ ∑’Ë∑”„À⇢“µâÕß¡“√—∫Õ°ÿ»≈
«‘∫“°π’È π—Ëπ·À≈–‡ªìπ°“√™à«¬„À⧫“¡∑ÿ°¢å∫√√‡∑“≈ß
∂“¡‰ª«à“ª“Ø‘À“√‘¬å¡’®√‘߉À¡ ∑’Ë®–™à«¬„À⇢“À“¬ªÉ«¬
µâÕßµÕ∫«à“ª“Ø‘À“√‘¬å¡’®√‘ߥ—ßµ—«Õ¬à“ß∑’˺ŸâµÕ∫ªí≠À“‰¥âæ∫
·≈–查§ÿ¬°—∫™“«Õ‡¡√‘°—π∑’Ë¡“∫«™‡ªìπ¿‘°…ÿ„πæÿ∑∏»“ π“ ´÷Ëß
Õ¥’µ‡§¬ªÉ«¬‡π◊ËÕß®“°‡°‘¥‡π◊ÈÕßÕ°„π ¡Õ߇¡◊Ëժؑ∫—µ‘®‘µµ
¿“«π“®π∂÷ߢ—Èπ„Àâº≈·≈â« ‡π◊ÈÕßÕ°„π ¡ÕßÀ“¬‰ª‚¥¬‰¡àµâÕß
‡¢â“√—∫°“√ºà“µ—¥¥â«¬«‘∏’°“√∑“ß·æ∑¬å·ºπªí®®ÿ∫—π
35. π ∑ π “ ¿ “ … “ ∏ √ √ ¡ ‡ ≈à ¡ ˆ : Ûı
35
ÚÙ. §«“¡∂’˧≈◊Ëπ‰¡àµ√ß°—π
§”∂“¡
¡’‡æ◊ËÕπ∑’Ë π‘∑√—°°—π¡“° ·≈⫇¢“‡ ’¬™’«‘µ‰ª ∑”‰¡‡¢“
‰¡à‡§¬¡“‡¢â“Ωíπ‡≈¬ ·µà‡¢“‰ª„Àâ§πÕ◊π‡ÀÁ𠉪‡¢â“Ωíπ§πÕ◊π‡æ√“–
Ë Ë
‡¢“ ◊ËÕ°—∫‡√“‰¡à ‰ ¥â „™àÀ√◊Õ‰¡à§– ·≈–®–¡’«‘∏’ ◊ËÕ°—∫§π‡ ’¬‰ª
·≈â«∫â“߉À¡™à«¬·π–π”¥â«¬
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µâ Õ ß®Ÿ 𠧫“¡∂’Ë § ≈◊Ë π ®‘ µ „Àâ µ √ß°— ∫ ‡¢“ ¥â « ¬«‘ ∏’ ° “√
ªØ‘∫—µ‘ ¡∂°√√¡∞“π ‡¡◊ËÕ§«“¡∂’˧≈◊Ë𮑵µ√ß°—π ‚Õ°“ ∑’Ë®–
◊ËÕ “√°—∫ºŸâµ“¬®÷ß®–‡ªìπ‰ª‰¥â
Úı. ·°â∑’˵—«‡Õß
§”∂“¡
∂â“¡’≈Ÿ°πâÕ߇ªìπ§π‚≈¿∑”Õ¬à“߉√®÷ß®–·°â ‰¥â
§”µÕ∫
æ√–æÿ∑∏– Õπ„Àâ·°â ‰¢ªí≠À“∑’˵—«‡Õß ¡‘‰¥â Õπ„Àâ ‰ª
·°âªí≠À“∑’˧πÕ◊Ëπ ≈Ÿ°πâÕ߇ªìπ§π‚≈¿ ≈Ÿ°πâÕßµâÕßΩñ°µ—«‡Õß„Àâ
‡ªìπºŸâ „Àâ∑“π„Àâ ‰¥â°àÕπ À¡—Ëπ„Àâ∫àÕ¬ Ê ®π°√–∑—Ëß ∑“π∫“√¡’
°≈â“·¢Áß¡“°æÕ §«“¡‚≈¿®÷ß®–À¡¥‰ª®“°„®¢Õ߇¢“‰¥â
36. Ûˆ
36 : w w w. k a n l a y a n a t a m. c o m
Úˆ. ¢÷ÈπÕ¬Ÿà°—∫ ÿπ—¢
§”∂“¡
‡§¬¢—∫√∂™π ÿπ—¢¥â«¬‡Àµÿ ÿ¥«‘ —¬ ·µà ‰¡à‡ ’¬™’«‘µ‰¥â¬‘π
‡ ’¬ß√âÕß (¡Õ߉ª∑’Ë°√–®°√∂) ¥â«¬§«“¡‡®Á∫ª«¥¥‘©—π‰¥â´◊ÈÕ
¬“µà“ß Ê ‚¥¬‡©æ“–¬“‡°’ˬ«°—∫∫“¥·º≈ ‰ª∂«“¬æ√–·≈–µ—Èß
®‘µÕ∏‘…∞“π„Àâ∫ÿ≠∑’Ë∑”π’È„Àâ°—∫ ÿπ—¢µ—«∑’Ë™π ∑”Õ¬à“ßπ’È®–™à«¬„Àâ
µ—¥°√√¡‡«√‰¥â ‰À¡
§”µÕ∫
®–µ—¥°√√¡‡«√°—∫ ÿπ—¢µ—«∑’˧ÿ≥¢—∫√∂‰ª™π‰¥â °ÁµàÕ
‡¡◊ËÕ ÿπ—¢µ—«π—Èπ‡≈‘°®Õ߇«√°—∫§ÿ≥π—Ëπ·À≈–
Ú˜. ¡¥¢÷Èπ¢â“« “√
§”∂“¡
‰¥âπ”¢â“« “√∫√√®ÿ∂ß ı °°. ∑’Ë¡’¡¥¢÷Èπ‡¢â“µŸâ‡¬Áπ‡«≈“
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‰¥â∫â“ß ‡æ◊ËÕ≈¥∫“ªÕ—ππ’ÈÀ√◊Õ™¥„™â‡¢“‰ª°àÕπ∑’ˇ¢“®–¡“∑«ß
§”µÕ∫
µâÕß∑”∫ÿ≠Õ¬Ÿà‡ ¡Õ ‚¥¬‡©æ“–∫ÿ≠∑’Ë„ÀâÕ“π‘ ß å¡“°
‡™àπªØ‘∫—µ‘°√√¡∞“π ·≈â«Õÿ∑‘»∫ÿ≠°ÿ»≈„Àâ·°à¡¥ΩŸßπ—Èπ‡√◊ËÕ¬ Ê
π—Ëπ·À≈–¥’
37. π ∑ π “ ¿ “ … “ ∏ √ √ ¡ ‡ ≈à ¡ ˆ : Û˜
37
Ú¯. ‡√◊ËÕߢÕßÀπŸ
§”∂“¡
¡’ÀπŸ„π∫â“π∑’√∫°«π¡“°À≈“¬ªï ´àÕ¡∫â“π‰ª Ò-Ú §√—ß
Ë È
·≈â« ®–∑”Õ¬à“߉√„À⇢“‰ªÕ¬Ÿà∑’ËÕ◊Ëπ ∑”∫ÿ≠·≈â«Õ∏‘…∞“π„À⇢“
‰ªÕ¬Ÿà∑’ËÕ◊Ëπ‰¥â ‰À¡
§”µÕ∫
À≈—ß®“°∑”∫ÿ≠·≈⫧ÿ≥ “¡“√∂Õ∏‘…∞“π‰¥â ·µà‡¢“®–
‰ªÕ¬Ÿà∑’ËÕ◊ËπÀ√◊Õ‰¡à ¡—π‡ªìπ‡√◊ËÕߢÕßÀπŸ §π‚∫√“≥·°âªí≠À“‡™àπ
π’ȥ⫬°“√‡≈’Ȭ߷¡«‰«â∑’Ë∫â“π
Ú˘. ∑”„À⥟·≈â«
§”∂“¡
®”‡ªìπ‰À¡„π°“√∑’Ë®–‡®√‘≠ µ‘ °√√¡∞“π¿“«π“‡æ◊ËÕ
„Àâæâπ®“°§«“¡∑ÿ°¢å ·≈â«ß“πª√–®”Õ¬Ÿà®–∑”Õ¬à“߉√¥’ µâÕß
≈“ÕÕ°®“°ß“πÀ√◊Õ‰¡à
§”µÕ∫
ºŸâµÕ∫ªí≠À“‰¥â∑”„À⥟‡ªìπµ—«Õ¬à“ß·≈â« ‡«≈“∑”ß“π
„™âªí≠≠“‰Õ§‘«∑”ß“π„Àâ°—∫ —ߧ¡∫â“π‡¡◊Õß ‡«≈“πÕ°ß“π°Á
‡®√‘≠®‘µµ¿“«π“„Àâ°—∫µ—«‡Õß ‰¡à®”‡ªìπµâÕß≈“ÕÕ°®“°ß“π
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38. Û¯
38 : w w w. k a n l a y a n a t a m. c o m
Û. ·∫∫™“«∫â“π
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Õ∏‘∫“¬æ≈– ı ·≈– ‚æ™¨ß§å ˜ µ“¡·∫∫™“«∫â“π
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„Àâ¡’§«“¡»√—∑∏“„π»’≈„π∏√√¡„π‡Àµÿº≈∑’Ë∂Ÿ°µâÕߥ’ß“¡ ∑”µ—«
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à«π‚æ™¨ß§å ˜ ‡ªìπ§ÿ≥∏√√¡∑’‡°‘¥¢÷π„π„®¢ÕߺŸ√·®âß
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¡’ ªí ≠ ≠“ Õ¥ à Õ ß ◊ ∫ §â π «‘ ®— ¬ ∏√√¡Õ¬Ÿà ‡ ¡Õ ¡’ § «“¡‡æ’ ¬ √
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