Multi-layer Thermal Analysis for VLSI Chips: A New Technique and Its Mathematical Foundations
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- April Bates
- 5 years ago
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1 NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo M-ay ha ay o VLS Ch: N ch ad Mahaca Fodao Naabayah bac W a ch o -ay ha aay o VLS ch. o o doa ady-a aay o ha codco ad ha gao. y coo a dc hod o og hg y o a ao dd o ha codco ao. W d o ch C ad coad oac o ha o h o c a hod o CCG o LSPC. xa doa h oy o o oga by h aco o. ad. h g a da by ad od o agd cy. yod ha aay VLS Laac ao Poo ao dc hod CCG.. NRDUCN codco choogy adac a z dco d- ad o dco ha aay o VLS ch co o ay o ad o oa o h oac [][]. Sc h a 99 a zab ao o ach ac ha b ad o h c o ha codco o co ba ad ha gad o a ay o h chaacc o VLS ch h o-9 a. hy a cagozd o ao aoach []. h aoach a h a hyca ao ch a a ha codco ao. h dcz h ao ad o h gad y o a ao. Sch a y h od by a hod ch a co Choy Coga Gad CCG hod [] o dc hod ch a LU dcooo LUD hod a a a ca o SPCE- agoh [] o a dagoa bad ax o cad h hoa agoh []. o ay h ao odd by hod ad aayzd by a ga o o cad NSYS hogh a a hod o a dc hod []. oh ay dc hod o dcz h ao ad aayz h a y o a ao by a ca o SPCE- agoh [] o a dagoa ax o cad h hoa agoh cobao h a d- ch cad h D a Dco c hod [].. Naabayah h gao choogy Co. Ld. --- Ma Wao Saaa Jaa -a: aaba@ga.co. h hod od acca oo by ay o og ha ao ad a ay o had d ha oc ad a ay o boday codo. Ho h dag h ag ca ha aay o ay a ch h z o h coc ax gad bco hg ad aay g xy dc []. d o ach ha cy gd o ha aay o VLS ch h cox ha ad -ay c. h cod aoach z aaogy b ha ad ccy o od ha a cha a RC o aayz h g SPCE- [][][7] o a -ch-ca cc ao [][9]. h hod ca b cobd h cc ad aac aay ad hc ab o az ch dg ha a ha aay o codao. Ho h RC o d bco hg ad h dco ad aoxao a d. a h accacy o ao ay dgad []. hod b od ha a hd aoach a y cy ood. d G co o dcb ha codco. Ho cao b d o a ha aay []. W oo a -ay ha aay ch aog h o h aoach. z a dc hod ha ad oy ha o a hod. h acao o dc hod o o o h doa Laac ad/o Poo ao ga ag ca y o a ao. h coc ac o ch y ha a ca c cad boc dagoa bad ac. Mo o h hod ad oo h a ood a hod o og h dagoa y o a ao c ch hod ad oy ha dc hod [][][]. Ho h o cao oba a acca oo a h a d o a o cad by ocd ao o coao []. h h dc hod a d ca ao. Fho h ca o a ha aay LUD o o d o ay bo ao. ch a dc hod o boc dagoa bad coc ac. a dd o a ga ca a y o cad Paa Soo Mhod PSM [] ad o a Syboc PSM S-PSM h aa o coaoa d dyac []. a ad o ha codco aay o o ad o adac aa h ha codco a dcbd by Laac ao []. W doad ha S-PSM ca b ad o ay aa ho ha codco dcbd by a SSN: 7-7
2 NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo cobao o Laac ad Poo ao []. aca cod h ca o o ay aa o d ha codc. W h d dc hod o dcz a cobao o Poo ad Laac ao ad ga ag ca y o a ao. W h ad S-PSM a boc LUD ad CCG o h a y. h xa ad ha o hod a 7 a d oy ad a od o agd a da ha LUD. hy ao hod ha h ch achd o d- ad d. a oy ha CCG []. W o h ch o [] ad doa ha ca o hg y o a ao a. xa o LS ha aay da h -ay coc Jo hag ob. W d o ch C ad coad oac o ha o h o c a hod o CCG o LSPC. xa doa h oy o o oga by h aco o. ad. h g a da by ad od o agd cy. h x co od a co o S-PSM g a Poo ao o h ca o a g aa. Sco dcb a co o S-PSM g a o Poo ao o h o ay ca. Sco V dcb a b o o xo o -ay ca. Sco V dcb o x ad coa h. W cocd h a Sco V.. S-PSM FR SNGLE LYER W a S-PSM oo oc a ad o a o-doa ady-a ha codco aay o a g aa h hch ha ga. L do h aa d codao. ha codco odd by h ao x ρ y h aab do h a ad coa ad ρ a h ha codcy ad h ha gao o o h aa. No ha ha o gad o aa h coa ρ o h gh had d o E. - bco zo ad h ao ad o x y - - Wh dd boh d o h abo ao - ad - by h coa oba h Poo ad Laac ao cy. ho ca h ao h Poo ad Laac ha codco ao cy o coc. Fg..: h aag o o gd ad boday o od o h Syboc Paa Soo Mhod S-PSM o o E. - cay ay dc hod o dcz a ca ay. Mo ccay dcoo o caga doa o gd o a bd Fg.. h c h a o a o o o g. h oog dco h dc ad ag a ad. h g dczd o o E. - g a x ρ Fo cy a ha bco x y y -. h abo ao x ρ h ao a cobd o h oog g ax-co o ch ha h ax o od ha dagoa o boc. - h a zo ax o od a ax o od a zo co co o od ad ax ad co co ad o od ach a g by - - SSN: 7-7
3 NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo x ρ x ρ... x ρ x ρ - No ha h co h boday codo. h dczd o o h Laac ha codco ao xd o E. - obad by g aab ρ o zo E. -. oh od E. - bco Dcoo Eao - o / by... : : : o boday o boday o boday codo codo codo Soo: - Eao: - h * Soo: - Eao: - 7 h * Soo: - 9 Eao: - h * Soo: - Eao: - h * oo boday codo 7 Soo: - Eao: - h Soo: - 9 Eao: - 7 h oo boday codo 9 7 Soo: - Eao: - oo boday codo : ao o gg adac aa oo. Fg..: oa coao o h a ao b o a S-PSM-bad oo oc o a Poo ha codco ao o o E. - ao h dagoa bad a o coc ax o / bac. ach o h a bac a x ax. W ay ha h bac ad h coodg by o ao a a h -h. h *h by h * / a h -h g by * * * * * * * - * * * h oo o h abo ao g by * * * * * * * * * * * h ad * C CD C CD D D [ C C ] D C CD C D C dcd Fg.. ad xad bo h x o h S-PSM-bad oo oc o o o a o h abo by. W g a a o by a h - o oba a by a h -h h -. No ha oo o h dd o co co o aab o ach by a ady aaab. ho h ag ad oh co o aab o h -h by h / a h -h a ad a h ad cod co a h a oo. Fo E. - h gh had d o h abo ao a xd by h Ug E. - E. -7 a Say h by xd a Cobg - ad - ha SSN: 7-7
4 Uo -dxg h co h abo ao bco ga a gg a a o by a h - oba a by a h -h a ho bo. No ha -. h oo o h abo ao g by h ad o h gh had d o E. - h oo o h o co o h had d a obad oc o o h o co o h gh had d hch a h oh co o h - by ad h co o h by boh a h -h h /. ho -dx h co a ho bo ad g h a o h -h ad by a h -h o oba h by o o ao h h d o h abo gg oc ha h oog g by o o ao a -h. h oo o h abo ao g by h ad No ha h abo oc o gg d o cod h o boday codo. h boday a ay h a a ay. h o o g a dx g by / a h. Mo cy / od o ha a ca o dadg h gg o o adac aa a h boday E. - a oo: Ug h ao h ad oh ao o -7 a xd a NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo SSN: 7-7
5 NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo h a o h co ad a g g h oo o ad. Sbg h a o E. -7 d h oo o ad. Sag h ho a h h ad o h oog ao xd a E. - ca o h by a h -h o ho a h o - - a dcd Fg... ^ ^ ^ ^ ^ - ^ ^ ^ ^ ^ ^ / h a g h oo o h ag co a oo: * * * * * * * - * * * * * * * * / -ay aa c ca b xd a a o Poo ao. Fo aa h hch ha o gad h gh had d o Poo ao o zo. h cha cod a o Poo ao coodg o o ay o aa. W ay a S-PSM-bad oo hod hch a dcd h Cha o o o Poo ha codco ao a a. h x co xa ho S-PSM o g o o ay xa.. h Pob W cod a -ay c a dcd Fg.. h o ay o aa ad o ha codc ad cy a acd ogh. h c ay a bac a o a VLS ch h h ay a o h boo S C co LD ay dcc ad aao. Ha gad d o Jo hag oy o h co. h ha a hogh a ha a a cog o h C LD ad aao ad go o o h ab a. ob o d a dbo hogh o-doa ady-a ha codco aay. h -ay c h aa ad cood o h aao LD C ad S cy. ca ha gad o C h ha codco o aa dcbd by a Poo ha codco ao o E. -. ca h oh aa S LD ad aao do o ga ha h ha codco o aa ad dcbd by a Poo ha codco ao ho gh had d o zo. X a Rc ab b a Paao.[W/ ] LD.[W/ ] b b Fg..: oa coao o h a ao b o a S-PSM-bad bac bo oc o a Poo ha codco ao. b b C [W/ ] S.[W/ ] S co a S b gh Rc Y. S-PSM FR FUR LYERS W cod a ha aay g a bac ca a o a VLS ch cog o o ay aa. ha codco o o aa h hch ha gad xd by a o Poo ao. ha codco o oh aa h hch ha o gad xd by a o Laac ao. h Laac ao a ca ca o Poo ao ha gh had d a o zo. ho gazd ha codco o h ΔXΔY: h z h: b o Y-ax gd o gh: b o X-ax gd o ah x ΔY bg/ x ΔX Fg..: o doa aay o ady-a ha codco o o aa o ha codc ad.. S-PSM-bad Soo Poc W dcb h coc ad a coaoa ocd o h a ao o cad S-PSM a ad o Poo SSN: 7-7
6 NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo ha codco ao. G a y o a ao dd by FDM h S-PSM dcoo o by ad d h a o h aab had by ach a o adac by. Fg. ho a oa o o h ao agbac coao o a ac a ach by h h a ao ad oo cd. hod b od o h g ha h S-PSM-bad oo oc go hogh ay o ad oao o dcooo ad gg. h oog co h oao aachd o aab co ad coc bac a h c h ah ch a ad. o hch a a h o ad h boo bod o ach aa d o coc adac aa. Fo h a o cy a o ao: Each c o h o gd a a o h a z ha x y. h b o X-ax gd o o ach aa a o o ha - o o o g ad cy. W ay dc hod FDM o caga doa o gd o ach aa o Fg.. ad dcz E. -. h g dczd o o E. - g a E. -. h ao a cobd o h g ax-co o ad a xd a E. -. h h boday codo xd a E. -. h y o a ao od ach aa... oday Codo ho Fg.. h ad o boday codo a h ab a ab o dg. C ad h ha oc a o dg. C cy. L h ad gh boday codo a h c a ad gh o dg. C ach. xd by E. - Cha h ad gh boday codo o ach aa a xd h co co a Fg..: oa coao o h a ao b o a S-PSM-bad oo oc o Poo ha codco ha ao o o aa... Poo ha Codco ad F Dc Eao h ha codco dcbd by h Poo ha codco ao. h ha codco o h o aa ad a dcbd by a Poo ha codco ao ha xd a E. -. o aay h bod o ca o o h o aa ad ad h o ca do o o h coodg aab a ad. So ha a o o Poo ha codco ao o o. Wh ay FDM o E. - dcoo ach o h coodg cag doa o a gd o x o o hch aab a agd a ho d ach cag o Fg... No ha h a o o gd o ad o. h g aa ca a dcd Fg.. o h Cha. dcd co.. d a g xa o o gd o o cy a h o ad boo bod o ach o h cag doa o a o d h a ha codcy o h coco boday b adac aa. oh od h gd o x o ach aa d o oba a oo o ach aa a dcd h Cha. addo h gd o x ρ x ρ... x ρ x ρ h h aab aocad h h aa. No ha ha o gad o aa h coa ρ E. - bco zo. h o ad boo boday codo o h cobd o ay o aa a g a No ha h c o h abo co dca ha h a a g a h a o h S-PSM oc. W ay S-PSM o o a o o Poo ha codco ao. W ga dc ao ha d a coco a h boday b ach a o adac aa. Sc ach aa ha o ha codcy d o d h a ha codcy o h boday b ach a o adac aa. W cod a a o aa ad a a a ca. W h a ha codcy o h boday SSN: 7-7
7 b adac aa ad o ha codc ad a Fg... h aag o o gd ad boday o o h o aa doa. h boday b ach a o aa h od aoxao o ha codco a oo. Fo h o o aa h oog dc ao hod a boday h aa : x ρ Say a boday h aa ha o x ρ h ca a ay codd. h g h aab co oao... ha h oog o ao o h a o adac aa ad. Wh dcd Fg.. ay o dcooo ad gg oao a ac b o o ho oao occ h ach aa o dad dco Cha. So a h abo ao ad ho o oo h c aachd o co a a h a ch a ad. No ha h c dca ha h a NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo SSN: 7-7 7
8 g a h bgg o h S-PSM oc do o chag a h d o h oc. No ao ha h E. - dcb h coodc b h aab a o ach o h o aa o h aog o d ch ao E. - o Cha. h oh had o g h oog ao o h cod ad hd aa o h aog o d ch ao E. -9 o Cha. W ady ay h abo ocd o dao o E ad - o h ag aa boda. W h oba h oog ax-co o o h E. -7 o h h boda:.. Sy Dcooo ad Paa Soo o Each Sby/Maa W dcoo E. -7 o o by o ao ha cood o h o aa. W do h ax o ach coc ax o h abo ao by h ax o bac o h o a ho bo. h aa oo o ach by a g a oo o h coodc b h boc o h ax abo ad h ax bo S E. - ad - o dx... Mgg o Paa Soo o Each Pa o dac Maa Fo h a o adac aa ad xac o ao o aab ad o E. - ad - cy ad g h o g E. -. Say o h a g h o ao h c o ad o E. - ad - ad d E NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo SSN: 7-7
9 NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo h - boh o h abo coc ac a o ca c h ac a xd a ho bo h o dd co o bac o h o ad cy. h aa oo o ach a o aa a o obad a oo S E. - o dx Fa Soo Fay o h o a o aa ad ad o ad xac ao h c o aab ad o E. -9 ad -. h gg h odc h oog ao. - h - W h a h ax o h coc ax o E. - ad d h a oo o aab ad a oo S E. - o dx. D D D D - D D D D h D [ D D D [ D D.. ac Sbo h abo oo a o bd o E. -9 ad - o d oo o ad. h oo a h bac bd o E ad - ad h oo o h ag aab a obad a dcd Fg... hod b od ha d o o o d oo o h aab aocad h ach aa. og a a o ao dao g abo h ca b do by ay o ad bo o h a o a aab o ca ao S E ad - o Cha o o da. ] ] Fg..: oa coao o h a ao b o a S-PSM-bad bac bo oc o Poo ha codco ha ao o o aa.. Vcao W ad h abo od ch o a d od o o ay aa o d ha codc a dcd Fg... h xa ad ha o hod a 7 a d oy ad a od o agd a da ha LUD. hy ao hod ha h ch achd o d- ad d. a oy ha CCG []. V. EXENSN MUL-LYER NLYSS - W od o S-PSM oga od o da h SSN: 7-7 9
10 NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo -ay c hch a cood o a ag b o aa. h b o ay aa xd a a ybo NL NL o g. h oa coao o o a S-PSM bad oo oc a o ha dcd Fg... ha a bay c. h dh o h a o. h cha az h coao o a oo. Cobg: h oo o h y o a ao o ach aa obad coodg o E. - ad -. Moo h o ao o ach a o adac aa a boday a obad coodg o E. -9 ad -. h abo ocd ad ady o a aa ad h boda. y cobg h ao h ax-co o hch x h ho y obad coodg o E. -7. Dcooo: h ho y obad h dcood o NL by o ao ha cood o h NL aa. No ha hy a a o E ad -. Moo h aa oo o ach by obad by h ax o ach coc ax S Ca ad Ca o dx. No ha hy a a o E ad -. Lo- gg: h ach a o aa oo hch obad h gd o a by. h ocd ad ady ad NL/ by a obad. No ha hy a a o E. - ad -7. Moo h aa oo o ach by obad by h ax o ach coc ax S Ca o dx. No ha hy a a o E. -9 ad -. Md- gg: h ach a o aa oo hch obad h gd o a o by. h ocd ad ady ad NL/ o by a obad. No ha hy a a o E. - ad -7. Moo h aa oo o ach o by obad by h ax o ach coc ax S Ca o dx. No ha hy a a o E. -9 ad -. h o aa oo a obad by ayg h oao ady h a boo- aoach. Fa Soo: h a o h aa oo hch obad ay h gd o a o y. No ha cood o E. -. Moo h oo o h o y obad by h ax o h coc ax S Ca o dx. No ha cood o E. -. ac bo: h oo o h ag aab a dd by ag bac bo a dcbd co... V. EXPERMENS RESULS W ad o S-PSM oga hch xdd a abo o -ay ha aay o VLS ch ad aad h oac o o ch. a xa o -ay ha aay da h a a d o Jo hag dcbd by a. [7]. Fg. Fg. ad Fg. dc h ao od hch cood o -ay c -ay c ad -ay c cy. h xa o -ay c ao od co o a acag ay a aao ay goba coc ay da coc ay ad oca coc ay M o h -c. Moo a ay dcc LD ay acd b ach a o adac coc ay. h a o ao aa coc hc LD hc LD ha codcy LD c. ad ha aa y ax c dy c. a a o a. [7]. o h boday codo a h a a ay. Fho c ach LD ay acag ay ad aao ay do o ha Jo hag c hy a dcbd by Poo ao o hch h gh had d a o zo. Sc ach coc ay ha Jo hag c dcbd by Poo ao. h ho hoo o ha codco ad ha gao a dcbd by a o Poo ao. Wh h aa g od abo ad o o-doa ady-a ha aay ad chcd h a h c o h co a Δ ax ax. Fg. dc h a o h -ay c obad by o oga. ho d a ddg o co choogy d. h co choog d a /// oc. Moo cacad h a o a o h xa o ha aay hch a o a. [7] by g o oga ad coad h o ho o [7]. oh b y co o ach oh a dcd Fg... h ha o ch odc coc. W o -ay ha aay g h ao od o -ay -ay ad -ay c od o aa h oac o o ch. W ao aa ad ha aa o co choogy [7]. h a ay a h ch ha aay od h o bco h b o Y-dco gd h ad h b o X-dco gd g a o ha h h z o Y-dco a o ha o X-dco x y. ab. ho h d ad h da odcd by o oga CCG hod ad CG hod h ao od o -ay c. No ha cooa CG Coga Gad hod bood o LSPC acag [] h a ay a CCG hod. h CCG hod o ha a ha h CG hod bca o -codo. h doa ha o h ag gd h g ax zh g o oga a.9 ad. a h g a da by ad od o agd cy ha SSN: 7-7
11 NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo CCG. h oy ag o o oga. ha ha by CCG. ab. ho h d ad h da odcd by o oga CCG hod ad CG hod h ao od o -ay c. h doa ha o h ag gd h g ax zh g7 o oga a. ad.7 a h g a da by ad od o agd cy ha CCG. h oy ag o o oga. ha ha by CCG. ab. ho h d ad h da odcd by o oga CCG hod ad CG hod h ao od o -ay c. h doa ha o h ag gd h g77 ax zh g9 o oga a. ad. a h g a da by ad od o agd cy ha CCG. h ay o h od abo a oo: Wh h ca o ay o ao od bco ag h oo d by o ch bco a ha ha o CCG. h da a o ha a od o agd a ha ha o CCG. Lay ab Ea Pacag Lay 7 Paao ax G Δ ax ax - LD M Ha a LD M LD X S b o Y c z h Fg..: ha ao od o -ay c. g h : b o Y-ax gd o g : b o X-ax gd o h z : ΔXΔY c z / h Fg..: ha ao od o -ay c. 7 Y c z Lay ab Ea Pacag Lay Paao ax G 9 LD G 7 LD G LD G LD G Δ ax ax- LD M 9 LD M9 7 LD M Ha a LD M7 LD M LD M 9 LD M 7 LD M LD M LD M LD X S b o h Δax [ ] h : b o Y-ax gd o g : b o X-ax gd o h z : ΔXΔY c z / h g Dac o Sba [Lay b] ab Ea Pacag Lay Paao ax G LD G LD G LD G LD G Δ ax ax- LD M LD M9 LD M Ha a LD M7 LD M LD M LD M LD M LD M LD M LD S b o c z Lay ab Ea Pacag Lay Paao G7 LD G LD G 9 LD M 7 LD M LD M LD M LD X S b o Y c z h ax Δaxax- Ha a g h : b o Y-ax gd o g : b o X-ax gd o h z : ΔXΔY c z / h Fg..: a o h -ay c obad by o oga. h co choog d a /// oc. Fg..: ha ao od o -ay c. Fg..: Coao b a obad by o oga ad ho o [7]. SSN: 7-7
12 V. CNCLUSNS W ha d a ch o ha aay o -ay VLS ch. odg ay o aa o d ha codc by a o Poo ao dcz h ao ad a S-PSM o h g y o a ao. W ha ad o ch o o-doa ady-a ha codco aay o Jo hag ob o -ay coc c ad coad o oga o CCG hod. h xa doa h oy o o oga by h aco o. ad. h g a da by ad od o agd cy. hy a h oy o o ch h ha aay o -ay VLS ch. Rach o h xo o o ch o h doa aay ad a ha codco aay o -ay aa o o cox ha d ay. PPENDCES. dx : Foa o ac Ca : h ax o h coc ax o ach o E ad -. h C C C C C C C C C Ca : h ax o h coc ax o ach o E ad -. Ca : h ax o h coc ax o ach o E. - ad h Ca : h ax o h coc ax o E. - h CNWLEDGMEN h aho od o x h gad o h dcad Po. azo Naaa Uy o Mayad Cog Pa o ya o coaboao ad adc. REFERENCES [] Y.. Chg P. Raha C. C. g E. Roba ad S. M. ag LLDS-: Ecoha g Sao o a- Raby Dago o CMS VLS Ch EEE a. o Co-dd Dg o gad Cc ad Sy Vo. 7 No.. - g. 99. []. Y. Chag. a ad. C. Saaa Coac Modg ad SPCE-ad Sao o Ecoha ay o M ULS coc Poc. EEE Co. o Co-dd Dg Sa Jo C No []. Haoo M. ao ad. ha Syboc PSM So o h F Dc Eao Dd o h Poo Eao Coaoa Fd Dyac Jo. Vo. No [] h://.ay.co/oo/-hyc.a. [] h://.g.og/g/cod/aac. [] W. Hag M. R. Sa. Sado. Saaaaayaa S. Ghoh ad S. Vay Coac ha Modg o a a Dg Poc. Dg oao Co. Sa Dgo C J. 7-. [7] S. N. Saaa. a ad. E. Goodo Scag ay o M coc a o Hgh-oac C EEE a. o Eco Dc Vo. No Dc.. [] P. L L.. Pgg M. hgh ad R. Chada C ha Sao ad Modg a Ec Mgd-bad oach EEE a. o NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo SSN: 7-7
![NERNNL JURNL F PPLED MHEMCS ND NFRMCS Vo Co-dd Dg o gad Cc ad Sy o. No. 9.7-77 S.. [9] L. Mao Z. Rd ad G. Yag N Eco-ha Sao ad o Raxao Mhod o gad Cc h Dbd a Poc. Co. o Dg oao g Cha g. [L] h://..o.a/co/cda/cda--.](/docs-images/88/115996165/images/13-0.jpg "d. []. Naabayah. Naabayah ad. Naaa Vy Fa Ch- ha ay Poc. h Woho o ha ga o C ad Sy da Hgay S. 7. -7. []. Naabayah. Naaa ad H. da N ch o M-ay ha ay o VLS Ch Poc.")
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