Marbles

Problem Number: 
73
Type of Problem: 
Problem Category: 
Input: 
Random Input
Critical Input
0
Critical Input: 
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vd hs rn rf ab ri fq rl mj cj q gk lf rg hg fd ff hl nl do vs wg mp be rm hb se mn tf qc jf wj nb ec an dq cj q ck bj wm kc fm uf gf om up zj nm hr zn te bs co zo zg wd kp ej tg c sg vp wf nr si zd wk as ie ik se om dg al go qp zp bf mf il qk uq vq in lr lq er jk js at te ch ws wc km ct ho rp vg si xb ph bd ep hf mr ch yh xc kq b vo gp xl ro zc et yg tc ph hs r at rk zc pc ae cg oi z uq on sd j qm zl sq ue fo ve vo eg rr yp k fh ts db gc kf cp af qq ir br cs vb xm vh rk wk yj th g is vs nn lq ce qj ri md ft p zh en xe yi bq gr ip pl id os ce ij ie jp vf df bn cq cn wi mk ds ei nd zq yo vc gb uc hg g kr ed jj id pi nd d ql f mb jo xb oi yk dh xn xe me fk ji co zm dm ep ko mf zl vi rr op lc yn qr nm wg jc wd rb xf ye ak qh fp yg cc dk fs zh ok yf ci wm qd zb hb so ah tj pr yc kk zk td fi wf y wo po ib dh x uc ah im mq qf pi oh nf j bt hi de nk ni y gh xi ac ts lk ll bb kn dn vn sk nn gf jk dc ci wn lb li bp vr uk le mk gm i mh hi td cp fc zo um vq mc dg og hh vk jl mg bk od ik ti cf lo bk ul dj bo d ym mc kc ro pk ne zi kk ue hd yb ff xl hc xc lo ng sj cm al vj ui jp fe yj kr ub nq ud zp im ft gd oc qo qc pl kf er pg ek es qf ld fh go mo p eo ko dp gl qm wp ls hj bh wq l gj s rh ae qe hp zf wq b fc fg mn xo yr aq km ib ze zs ak ti mo gh qb vn ld sl ei pj xs z zn jn rj pq jl ad uo pp wh xn pn ar bd ds eb ss lp nb un jr qr xd jh od yh sn do tk dl bg ag we tq nc dr gl gg il pp k jg nj cb ns ip ac cr tr lm ir hq ze jn rb up lg yq zg sh ln n yr ao sc gj xk tc gq kd ic vm sj ol zr fo lh tj on sd dc wp oj qg xi pn to oq ps vr fi zm cf df pe gm vh ug gi ct r wr hl eh mj xm et cl po ys lk vf ck eq tm hn gq sh pb xg n af pj wn di zf hd am lp zs bt ms wl xh ii rd bs wc rp tl rl h ui aj oe mb uj bj gi or wi mi dl hm mm me x o ve in fj vp cr ef kn cl kg en we yk ss rf rd qn ag ws jc yb kg zk qp db zi wr kb je mg jb tg pm ab ys ym eq dq ad ur es sf vl ks vg ai ki fl he to rq np cn nq cq of oq tb tb pm gn xr dt kl rq rj an ye eo jd um 491 wf mm kn c yn kn kp kh kp kh yn yi dd kq af ip dd ip ls ls af kq c yi os nn tl bn tl qh wr op op xj qf rn rn ld qf ld cl cl dn cs dn xj cs bn wr hb js js bp bp hb yo pg tj pg yo sc tp wg wg sc yd yd tp tj qm ns ns qm zd xg bb f ak f ak lf sb bb sb vp vp ff lf ff wc wc vc tk xg hk ko pp wo ro wo ro bd ps el el bd ps oh vs bi bi vs ko oh cf df cf df pp an n zi zi an di uh jp di fl fl jp uh hi ym ln ln l hi ql wm l ym mj mj il il wm ql n kd nk kc ac en mf mp en mp mf nk ac tk wn wb wn wb kc ub ud vj x vj x cg wi br eo eo br wi be fq fq cg d be xe zc cp zc xk cp xk zo ug fj ug ni zo ni fj d tm tm ud ub y fn fn g lc g lc vk vk xe y kd vb qi vb qi vc dh bo bo wl wl sd um um qd qd qr lm wk wk qr lm xb rq xb rq kg fo ol ol yg fo cd cd yg vo kg im pm zk zk im pm uc ri ri jd dc dc yj gj rb gj sf rb sf vm vm to ve to ve jd uc gs gs w i w i uq uq yj ei ei po po ob zf jl fd jb nd jl nd hq hq ar jb fd ar sd z z eg eg jc no no mg ur qo qo xm xm ur rh cq ci ci gh gh cq bs mg bs rh zf ob vo xd u zq hj eb eb qs zq ki ki u qs qq jr gn jr ab qq hh ab pl hh qc al sj me kf kf sj jj me jj vg ts ag lg ag lg dm ts ef dm ef pl ho xo ho xo vg gn al qc hj jc ik ik ce tc cb sq cb sq ce tc xd hk km km hr de hr lk lk jf de ih ah ih ah es ck es ck on jf on lj co co ml bg pb pb ml bg mk rd gm ai cm ai cm gm mk lj rd dh vh bl vh bl si jg kj kj if si zd wj mh wj mh if zh hs hs jg zh qh tb wf yf ke yl ke yf yl tb nn vr xh ds q te ib te ib zm in in ds xh zm em em vr yh yh mc hf hf rg jk bk bk aq sn sn lb ek lb dp dp aq ek is rg mc is jk sm sm ep lp ep lp q os mm eh dj so so dj vi ig ig vi o o oo oq oq oo bh zn zn bh t t mn mn xn xp he ph ph ok ok he xp fk ee gr gr ee vq vq dk dk yc ec cn cn ec yc fk hc hc iq zp qb qb vn vn kr ji ji kr xf mq xs xs sp sp ad ad mq se se ch ch gf lo lo gf xf fp fp ws ws ne ne mb mb fm b nj nj as as s s gk gk am am yr yr b iq fm zp kk kk qe qn ge ge qn kb pf gq gq pf ui oe oe kb ui nm nm nf j j fg fg nf tr sr sr sh ul ul dr sh dr pe fr fr pe qe le le bf qp qp np np k ij ij bf k tr xn ic ir ir oj oj ic jh jh dl dl r r hp sk sk hp db db dg dg hm rf pj pj rf lr je nr nr bj bj we we je cc cc uk uk zl zl og og of of jq jq rk gg uf uf gg fe bc bc fe lr wp vd gc nl nl vf vf gc pd pd aj vd wp aj hm zg zg er v xq xq lq lq v er dq dq xr qj qj gd gd qg qg ap ue ue rc mr mr yk cj cj yk rc kl kl xr ap nb nb yp uj uj yp rk xc xc hd ms ms vl vl ze ze hd rp sg fb fb rl rr rr rl ao jn ao fc ii ii fc jn ye ye hg nq th th zj mo jo jo gi ss ss wh gi rm rm wd re re qk qk wd nh nh ti ti wh mo zj hg rj do ae ae do rj nq sg yq us gl gl lh lh md bq bq md us rp yq ng m m eq jm jm gp ie ie gp eq up tg tg up pr pr ed ed p oc un io xi xi io un oc ng ll ll cr cr p tn td zb zb td go rs id id rs od od go gb gb tn nc nc eh fi wq wq om om hl hl tf fs e bm e fs sl fi tq tq sl or li mi mi pn ej pn ej h h bm pk oi hn oi pk hn tf li ks uo fh pc xl fh uo xl yb ks yb pc or zr pi zr pi pq pq 5 a b c d e e d c b a 6 a b b c c d d a e f f e 493 eq tn zp zr nk i nk kk lr kk ef ef lr i ig hm tm ao dk dk wj tc nq nq co co wb dc dc lp mg jg jg mg sn sn lp wb ao tc wj up qj qj ep sk fc pb zh pb fc zh sk xk tj un oj oj ip un ip tj ep xk to to am yd p up p ge ge yd am on xr on rc rc tm o o md pj kb pj kb vk uj uj md vk hm xr zk ah sd sd bs mm mm jl ql bs ql vj vj uh ah uh jl di np np qe gd yq yq gh af sc sc qo qo gh af ho cl cl hd nh hq hq le le nh uq uq ho gg xh fq fq xh ph ph hd gg as di bl bl as yb so so yb wd gd qe wd tn ud wo wr kh ud me kh vr ij ij bd yi dj dj yi bd xi ce do ce vr fr do fi fi xi zf zf hg hg fr wr me ol ol wo zk ub cq ub mf ck jh qf w te vb y ji lf ps dp ml ec bi vh fn wm h dm ro hl vc ll dr sm dn ye xp sb je qs vf oh zq yp db id op cm eo um ds gm nn pe dg ei uc wh ug ee an wi fe zg eg ad og zn mo ui ue cc aj tb yj ys xb ic ws lq tp qb gr vg rf ej pi s ze nb wn mb d pc jr x bg xf lm gk ar ib rh ve vm xm kd oo bm cd ul tg wq rq r jk pl li el jn zi wf cs uf rk ts vo rp xn lg rg ni ab dd ls zs rj kl ki br kf qg ld zb oe jb wk es de fk ks bq in zj em oc lk rb lh nr al jf po zm fh th yg xj rr fs eb yh rl sp gp hp we xl bo ir lj yc ak jd pk kp hj jp ih hn zc qm ko pp hf km xe ln c zo uk xs nc fm rs mp yl sq im lb if ii er ss cp ti pf tq tr be cj g vs io se u n ch bb jc vi ag re gj gi uo is z gf sf qp bn gb mh rm v ie gl lo oq qd nl q jq jo td rd cg ng go pn hh cb qq ns wp od tl vl oi yo cf no ek kc vn j fp yf yr b yn xq pg ob ai k or wg vq bj fb sl sh e bh jj gc ed dh fd zl we hp gp sp rl yh eb fs rr xj yg th fh zm po jf al nr lh rb lk oc em zj in bq ks fk de es wk jb oe zb ld qg kf br ki kl rj zs ls dd ab ni rg lg xn rp vo ts rk uf cs wf zi jn el li pl jk r rq wq tg ul cd bm oo kd xm vm ve rh ib ar gk lm xf bg x jr pc d mb wn nb ze s pi ej rf vg gr qb tp lq ws ic xb ys yj tb aj cc ue ui mo zn og ad eg zg fe wi an ee ug wh uc ei dg pe nn gm ds um eo cm op id db yp zq oh vf qs je sb xp ye dn sm dr ll vc hl ro dm h wm fn vh bi ec ml dp ps lf ji y vb te w qf jh ck mf zl fd dh ed gc jj bh e sh sl fb bj vq wg or k ai ob pg xq yn b yr yf fp j vn kc ek no cf yo oi vl tl od wp ns qq cb hh pn go ng cg rd td jo jq q nl qd oq lo gl ie v rm mh gb bn qp sf gf z is uo gi gj re ag vi jc bb ch n u se io vs g cj be tr tq pf ti cp ss er ii if lb im sq yl mp rs fm nc xs uk zo c ln xe km hf pp ko qm zc hn ih jp hj kp pk jd ak yc lj ir bo xl cq qh om wl fo fo om qh wl qn mj xd xd ci fg ci tf tf gq nf gq bp nf bp qn fg mj bk aq aq bk ap ap ig qr fj qr ik fj ik gn gn hr hr df hi hi jm jm kr hc qc mc si ae ae mc dq si dq df qc hc js js kr nm hk mr mr ms ms vd ac iq mk he os kg kg he os ac mk vd hk mi mi kj kj nm gs gs iq nj nj lc pr pr ri ur ur ke cr cr ke pq nd zd nd zd lc l xg yk of xg bf of yk bf pq qk us us mq mq qi f qk f sj kq kq sj qi pm pm ne ne ri l pd pd m m cn ok ok cn mn sg sg vp mn eh rn eh rn eq vp zr bc bc zp en kn dl sr dl xo xo sr t fl wc wc hb il hb fl xc xc il kn t ym en ff tk tk ff ym hs hs 499 ck sj cp wg jm rc fd tj rc jm tj qh l qh tp fi fp cn fi th l zg um tn bn lc ab lc hl dd um dd zg vs yn yp im yn im rq co ol ws co yp rf lg ek vn rf gn we md lj we lj vn nd sl og sc in w og is w zj r vd hi ym id zj pc gg fl gg ln es ln fl kf pe es id ap pq ss pq pe hj kf pc is hj sl ss os ap os nd rg md rg ym gn hi vd r zc in sc ek lg zc oh qb mk td wc pf wc ei vl gi yf as mc en of rn yb as gi fj xd xk fj gc oi jq kc gc kk if do kc do gl op tk gl if qs hb sk dh jl hq dh ip ue ip rh ni zk pr ve ni cb ve pr zk hq zf jl bd pn qc or nr ls ll wp k nn ls or nn gh xn ac xn ib gh ib pn zf cb ac sb rh ue sb k wp sk ll nr hb tk qc xh bd xh op qs jq oi kk ei eo pf rs mg ik rs jg pp sf jg eo le sf le ae gb pp gb cg ik cg mg mk dj ak dj ae si xk xd vo yb rm xo rn of xo qk df en kb nl kb jc mc jc yf nl vl td oh wr df qk rm vq tl cl ec cl ne me ef ne go ob kr eb io ob iq ef ah yl vb re dm gs yl j gs dm j cf ql km wq ul wq wd lr pl ul km cm cf re vb ge me tl ge vq cm bi pk ai bp qr pl lr wd p ql ah ep p qr bp jd ep iq jd ai pk io bi eb kh kr kh kj go kj ec wr vo sn si ak sn qb th ws cn fp tp wg ol d il d oo gk rq gk vs oo hl hh il cp sj wb hh ab bt yj wb yj bt bn sg ck nc sg tn fd nc ch cs ee vg zl tf nq dn uf tq ud em zr em lb zr tq fr sr zm kg u fr lb aj pb qp aj u kg qp zm pb ud sr qf nq fb tf xc zl xc uj fb pd qf pd uf dn uj hs vr ch vr mo ao hs ie vg ee mb ie ao mb mo cs zn tr dl kp ui lm ui js z ir js jn ir dk zb jr zb qg dk qg jr jn fg z fg kp dl tr xl lm ts fk ts xq vh so vp nk cj sm hf up hf nm zq nm mf jh fn b vi no pi ds fh xm jf xm fh pi no jf y ds vi y zq po b fn jh mf po nk vp so up e sm e cj om vh xq fk pm ag db oq kq db kq ml ag ml pm v oq v om zn g xp ed g nj fc ri nj tc el ri el fc tc ed xp xl mn np be uo bm cd bm je qj wi je bs ct lf ct uo lf yh bs he wi am lp am qj cd qo lp he qo yh se bk se ij ms fq kn er li yq gm yq rd pj nb li ij nb pj bk rd sq gm er kn sq be mn vc di mm vc fq ms mm np s di s jj oc yo ph mj bh fo yi dg bo ph ej yo ej bo dg yi fo bh mj jj lk ro xg ar n ki wf ze fs fm kl jk h eq fm ze x ti wk gj wk sd bf xj lq bf qq gj rr gr lo xf f gr qq lq xj sd f ti xf vf ng lo ng vf rr eq x o yr ok h jk uq ok uq kl fs yr wf o ar xg xi to ki lh to ji lh uk n uk ro lk oc ji xi xr mq yc vj mh vj ff bg gq yc mq bc gq bc xr zo eg ns zo ce bg qi ff nf mh nf on uh qi ce ns eg uh on i af hr af i yk ad us ld dp un dp us ko un ko ld hr te wo at te gd zd ps jb gd c jb ps zd fe vk ye bq vk fe bq ye c dq at tg ho jp zp rl jp ho zs rk wl rk qd nh ks wl zs ks kd nh qd kd rl dt zp dt od qn vm cq qn tb cq vm od tb xe tg wo xe dq ad yk ke an t an ke t cr zh mr cr mr zh cc ig br yd m jo br tm ft ug hc hm hk de qm ys ic ys wm hd wm ic hd rp pg ci xb et hg xb bj bb ur rb bb bj rb hg mp et mp ci ur gp al ih dr pg rp oe dr mi aq rj ub mi ub eh hn rj hn eh aq ih al gp wh wn oe qm wn wh gf yg hm hc sp yg gf sp de hk wj ii uc tm sh oj hp xs dc zi hp zi bl qe oj qe sh bl dc xs q uc ii wj q ug ft ig cc jo m yd 55 v dc l cc vb u vb u cc l pb pb b tb tb b n hb hb n p p d cb cb db o s s e e xb xb o kb bc bc kb db eb eb bb bb h h d fb fb yb jb jb t yb t gb gb z z lb sb sb ab wb wb ab lb ob ob f f ac ac mb mb q nb r r nb q qb x x j j qb k k ib ib dc rb rb zb zb g g v ub m i c m ub w c w i y y 495 zh be be eq lr lr gh gh pk bs bs tp tp eq pk r r y mn sl tl cc cc bt bt uh uh tl i i ll gm gm dh gn dh gn ll v v fq fq mn y vr vr sl yb yb zh hd sc hg in in vl vl xg zl kq kp gs zk kp ji ji kq qb mj ul g ho ho nr o g o ul nr po oi mf up nn kf kf mj nn up xf xf mf oi q zc q zc po hi hi zk gs qb hg lh em dd jj dd jj xl xl lh ns ns np np em nj dl nj gd ei cm nl ei nl kj hf kj hf gd cm dl zl lq wh fb jm fb xn jm jg vj vj jg wh xn hd vc sh yg sh we ps ps yg we nc ls pr vc pr ls pi pi wg nc wg lq fd cj oq qm gl mg gl mg tf un ir te ir te dj sj un im sj dj qj xk qj rd rd xk bh hl ts z ts hl bh z tf sm sm gg lp vm lp gg vm rj eg qi rj qi eg p p im ql ur yq ce ur me me oh fe kk jd kk jd oh s ze hn wj qh wj ec qg ec qg gk gk qh no ze gf gf hb no yl hn s ge tq ge tq yl hb nb fk wl nb wl fk fe vg hm kr kr dg vg dg rg dn dn ri rg ri hc ic il vd br xe xe ic qr qr mp qn nd rh ac rh ac br nd qn vd il hk ok om vf yh vf yh cf om ph cf bg ph hk ee ee bg mo mo ok mp sn hm sn hc sf ke sd ke cn ng ne vi ne vi cn ng qm oq cj sd fd sf ce yq vb zm kd vb ed pg am ro ro pg am fn bj es es cs bb cs ms tr ms tr yd yd rc vn rc vn sk bb mk bj mk ef jp lj wr pm pm ef rm fg rm fg ko sq ik sq ik wr lj rk sp sp td rk td jp ff ff eb ol dm bn dp bn ab ab dp ol bc nh fo nh fo og og dm eb bc tg ci ci co tb ak fh fh co ak se se tb ao ao ko tk xs jo xs jo tk tg fn th xc vs xc vs sk wk pc ob vh vh ad ln xm xm ob ln ad n ks wk um um m ks yp vp jq wd wd jq yp n pc vp m th yi f lo eo gc xb qd fr fr kc qd kc b ii ii xb b wp fc wp bm aj bm aj ig ig gc xd fc xd jh zf jb ih jb cd ih cd fm jn c jn nm u u fm zd ag yj rs qs qs ag fi ni ni fi rs zd lc wc lc wc yj eo bp lm lm bp he op op j ld oj oj rl rl is ld is os pb pb rn rn tm tm tc kl go go kl af kb iq xr kg kg iq kb af tn xr hq pe di hq di mc ue ue pe mc bq xo bq tn de de uk uk nf qp jc mq mq zo nk ip zs ip zo zs hr hr nk xp l vq l ug wi ml ml ug wi vq zr zr tj jc ai nf ai ah ah ch ch tj rq rq xp qp tc xo wm al wm mi ym 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ur um mg de qc fk od fk qc ur vk oj sb tb oh oh fc jo pm pm uq uq xq vg vg xq pb jo pb qn fc xk xk ib ib tc tc nh nh bp bp qn lj lj hg ri cr cr ri gf hf ml ml k k uj hf oe oe gf uj hc kn hc kn hg wi zq qs zq qs wi pp pp tb if zm sf en qm ws en gh vj ng mc ng uk vj sf uk if ji nd mc nd bm gh ws qm bm zm ji ep bk ue op kb zr ye dr zr bk gp ep dc jd se kp jd oc cm w ts w fo ij gn ts bj gp bj dr gn ij ye km kb op xj iq km tl fo tl cm iq oc kp xj ue se dc ah vo hi ic fn sr ge dl eb d dl d qf yb eb yb ge qf fn ic li hi li hh cc hh jc e jc cc xm pg e ao wl ao wb pg xm wb wl mr on nm qe h ir qe on mr ir h rp bs rp nm bs ah c wr c am il kq ac or ae or kq am o ae o s ac s il bq sr vo jh bq wr jh xf gi xf gi mn mn kd sp yo kd ig yo sp ig yk yr yk yr b b qg qg qp un dm qp dm un lk wh lk dq sq dq sq wh kr as pr kr pr as dd dd
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50 17 c r h r c h i d i d l l f q g e q f n e n g j j o o k k m m b b p p 18 c c d s n n s f h h f d m l j l r r m j b e b e p o o k k p i i q q g g 15 o o d c g k c k d g e e n p n p h h m i m i l f l f b b j j 18 f d e g l b m l g m k k p p b f e d j j s q n s n i q i r r c o o c h h 14 n k f m b f h i l i j h j l b m n k d d o o e e g c g c 11 e c e c j j h h l l g b i i b g d d k k f f 12 d g f i c k h l e b m j c i f g d j m b e l h k 12 f c i h i b f k g m d k b j h c j d m e g e l l 10 f f k k d d j c j c g g h h e e i i b b 13 k n c k l d c d l n h g h g j j e e f f i i b b m m 5 ac ab ad ae ac a ae ab ad a 6 a b b c c d d a e f f e 4 b d e c b c e d 3 a b c a b c 5 ae ab a ad a ac ab ac ae ad 18 b h b h c q f n f s q s c n o m o m l j p l p j g g r i r i e e d d k k 11 d d k k b j b j h h l l g g e i e i c c f f 17 i j i m g b m j l b q q l g e c c r p d k n r e n o f f o h k d p h 11 g l i f j k c k l g f e b c j i e d h b d h 18 o d c k n d l n k l g c o g i f p h e i j e h p j f m b r b m r s s q q 5 f e c d b b d c e f 19 n d n d b f b t f t i o g i g m o m c c p p r e r e j l s j s l q q k k h h 12 d f g j f c m d k b m c j b g k e i l i e l h h 13 n m f f m j j b h h l l e e g g d k k c c d b i i n 15 n d d n o m f o g f m g h b h b k k l l p p j i j i c c e e 10 i h f i f h e e g g k k d d c c j j b b 14 m n l o g m g o l n k e k f e f i j i c j c h d b h b d 5 a b c d e e d c b a 15 h h f b b f i i m m e l o e o l d k d k c c n j j n p p g g 17 m g m l l r g r e o e h f c o c f h i i q q b n b n k j k j d d p p 15 h b n l j j d h p d c m k c l k m e n e o o p b i g i g f f 14 b m l e c e c g g m l i i d n d n b h h j j o o f f k k 13 d l j c d f n c n i h i j k g l g k h f e e b m b m 11 j l d e l k j h g k c e d b i f c f i g h b 11 j j c c i b b i k f f k d d l l e e h h g g 19 b p o q o k e m c l c e q p l b m k n g j s d i h i j h d s n g r r f f t t 15 b k f o l i h m e o n c g e m g h p i p d c j n j f d k b l 14 i f d n d k i k c c e h n m m f h b g b g l e j j l o o 17 d g d g j q o f j f e r b r b o q k k e n m m p n p h h i i l l c c 18 d q c r m l l b i f o b m k h h g k e c p f p e q j s g j n o i r s d n 20 e u h i n o l r n u m r p d b t d l o t c i h c q q g b p m s j s g k e k j f f 3 red red blue yellow blue yellow 12 c i c b i b f d l d f l j j h h m m k k g g e e 13 d b g l l j f h e c k e i n h c f n i k d g m j b m 20 s f o s c o i c e i u e p u b p l b h l j h m j q m t q n t g n k g d k r f d r 20 e d u m l r b c h o n h r n l u o t d p e p i t k i f k c q b q m f j s j s g g 16 n i n i o g l h f g f j m h c l o p e c e m j p d b k d q k q b 17 j h m i d l c c b q l k i f f g o g r d q j p p r n b e h k n e m o 5 ac ae ac ab a ab ad ae ad a 18 m j j r b f c p q s n p q g e s d l i m b k h n i r k c f l o e o g h d
Problem Id: 
73