Content-Type: multipart/mixed; boundary="-------------0110250924847" This is a multi-part message in MIME format. ---------------0110250924847 Content-Type: text/plain; name="01-398.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="01-398.keywords" Percolation, analyticity, supercritical ---------------0110250924847 Content-Type: application/postscript; name="bps1.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="bps1.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %%Title: bps1.dvi %%CreationDate: Thu Oct 25 12:17:40 2001 %%Pages: 13 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: C:\TEXMF\MIKTEX\BIN\DVIPS.EXE bps1 %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2001.10.25:1217 %%BeginProcSet: texc.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: special.pro %! 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b Fn(b)c Fm(2)g Fn(B)5 b Fp(\()p Fi(Z)3333 4111 y Fl(d)3369 4144 y Fp(\),)28 b(de\014ned)e(on)g(the)118 4260 y Fn(\033)s Fp(-algebra)31 b(generated)g(b)m(y)g(the)f(cylinder)e(sets)j(of)g(\012.)218 4377 y(An)f Fj(op)-5 b(en)35 b(cluster)c Fp(of)h(a)f(con\014guration)g Fn(!)e Fm(2)d Fp(\012)31 b(is)f(a)h(pairwise)e(connected)j(set)g(of)f (op)s(en)g(b)s(onds.)41 b(W)-8 b(e)32 b(denote)118 4494 y(b)m(y)24 b Fn(C)31 b Fp(the)24 b(op)s(en)g(cluster)f(that)i(con)m (tains)f(the)g(origin.)38 b(A)24 b(fundamen)m(tal)f(quan)m(tit)m(y)h (of)h(in)m(terest)f(is)f(the)h Fj(p)-5 b(er)g(c)g(olation)118 4610 y(pr)g(ob)g(ability)30 b Fn(\022)s Fp(\()p Fn(p)p Fp(\),)f(whic)m(h)d(is)h(de\014ned)g(as)h(the)g(probabilit)m(y)d(that)k (the)f(op)s(en)f(cluster)g(con)m(taining)h(the)g(origin)e Fn(C)35 b Fp(is)118 4726 y(in\014nite,)28 b(i.e.)1675 4842 y Fn(\022)s Fp(\()p Fn(p)p Fp(\))d(=)g Fn(P)13 b Fp(\()p Fm(j)p Fn(C)7 b Fm(j)25 b Fp(=)g Fm(1)p Fp(\))p Fn(:)1371 b Fp(\(2)p Fn(:)p Fp(1\))118 5013 y(The)30 b(p)s(ercolation)f(probabilit)m(y)f(\(2.1\))33 b(can)d(b)s(e)g (rewritten)f(as)i Fn(\022)s Fp(\()p Fn(p)p Fp(\))25 b(=)g(1)c Fm(\000)e Fn(\022)2741 4980 y Fl(c)2775 5013 y Fp(\()p Fn(p)p Fp(\))p Fn(;)31 b Fp(where)1622 5220 y Fn(\022)1668 5183 y Fl(c)1702 5220 y Fp(\()p Fn(p)p Fp(\))26 b(=)f Fn(P)13 b Fp(\()p Fm(j)p Fn(C)7 b Fm(j)25 b Fn(<)g Fp(+)p Fm(1)p Fp(\))p Fn(:)1318 b Fp(\(2)p Fn(:)p Fp(2\))1985 5517 y(2)p eop %%Page: 3 3 3 2 bop 118 44 a Fn(\022)164 11 y Fl(c)198 44 y Fp(\()p Fn(p)p Fp(\))27 b(can)g(b)s(e)e(seen)i(as)g(the)f(\(in\014nite)f(v)m (olume\))h(limit)f(of)h(a)h(sequence)g(of)f(\(\014nite)g(v)m(olume\))h (functions)e(as)h(follo)m(ws:)118 160 y(let)34 b Fn(N)43 b Fp(b)s(e)33 b(a)h(p)s(ositiv)m(e)f(in)m(teger)h(and)f(consider)g(the) g(b)s(o)m(x)h(\003)d Fm(\021)f Fp([)p Fm(\000)p Fn(N)5 b(;)15 b(N)10 b Fp(])2611 127 y Fl(d)2675 160 y Fm(\\)22 b Fi(Z)2823 127 y Fl(d)2859 160 y Fp(.)50 b(Let)34 b Fn(B)5 b Fp(\(\003\))34 b(denote)g(the)g(set)h(of)118 275 y(all)f(b)s(onds)e(in)h(\003.)54 b(De\014ne)34 b Fn(@)5 b Fp(\003)33 b Fm(\021)f(f)p Fp(\()p Fn(x)1439 289 y Fg(1)1479 275 y Fn(;)15 b(:)g(:)g(:)i(;)e(x)1733 290 y Fl(d)1773 275 y Fp(\))33 b Fm(2)f Fp(\003;)15 b Fm(j)p Fn(x)2114 289 y Fl(i)2143 275 y Fm(j)32 b Fp(=)g Fn(N)5 b(;)15 b Fp(for)30 b(some)h(1)i Fm(\024)e Fn(i)i Fm(\024)f Fn(d)p Fm(g)j Fp(and)f Fn(@)5 b(B)g Fp(\(\003\))33 b Fm(\021)f(f)p Fn(b)g Fm(2)118 391 y Fn(B)5 b Fp(\(\003\);)15 b Fn(b)23 b Fm(\\)g Fn(@)5 b Fp(\003)31 b Fm(6)p Fp(=)g Fm(;g)p Fp(,)36 b(resp)s(ectiv)m(ely)-8 b(,)35 b(as)f(the)g(p)s(oin)m (t)m(wise)f(and)g(b)s(ondwise)e(b)s(oundary)h(of)i(\003.)52 b(Let)34 b Fn(\022)3562 358 y Fl(c)3559 418 y Fg(\003)3612 391 y Fp(\()p Fn(p)p Fp(\))g(b)s(e)f(the)118 507 y(probabilit)m(y)28 b(that)j(the)g(op)s(en)e(cluster)h(through)g(the)g(origin)f(do)s(es)h (not)h(reac)m(h)g(the)f(b)s(oundary)f(of)h(\003:)1517 677 y Fn(\022)1563 639 y Fl(c)1560 699 y Fg(\003)1613 677 y Fp(\()p Fn(p)p Fp(\))25 b(=)g Fn(P)13 b Fp(\()p Fn(C)27 b Fm(\\)20 b Fn(@)5 b(B)g Fp(\(\003\))26 b(=)f Fm(;)p Fp(\))p Fn(:)1213 b Fp(\(2)p Fn(:)p Fp(3\))118 847 y(The)23 b(function)g Fn(\022)694 814 y Fl(c)691 874 y Fg(\003)743 847 y Fp(\()p Fn(p)p Fp(\))h(is)f(related)g(to)i(the) f(p)s(ercolation)e(probabilit)m(y)f Fn(\022)s Fp(\()p Fn(p)p Fp(\))j(through)f(the)g(limit)f(\(the)i(limit)d(\003)26 b Fm(!)f(1)118 962 y Fp(means)30 b(that)h Fn(N)36 b Fm(!)25 b Fp(+)p Fm(1)p Fp(\))1025 1132 y(lim)993 1193 y Fg(\003)p Fk(!1)1199 1132 y Fn(\022)1245 1095 y Fl(c)1242 1155 y Fg(\003)1294 1132 y Fp(\()p Fn(p)p Fp(\))h(=)f Fn(\022)1578 1095 y Fl(c)1612 1132 y Fp(\()p Fn(p)p Fp(\))h(=)f(1)20 b Fm(\000)g Fn(\022)s Fp(\()p Fn(p)p Fp(\))p Fn(;)288 b Fp(for)30 b(all)60 b Fn(p)25 b Fm(2)f Fp([0)p Fn(;)15 b Fp(1])p Fn(:)691 b Fp(\(2)p Fn(:)p Fp(4\))118 1359 y(In)31 b(the)h(next)g(section)g(w)m(e)h(will)c(rewrite)i Fn(\022)1567 1326 y Fl(c)1564 1386 y Fg(\003)1617 1359 y Fp(\()p Fn(p)p Fp(\))h(as)g(a)h(series)e(in)f(p)s(o)m(w)m(ers)i(of)g (\(1)22 b Fm(\000)f Fn(p)p Fp(\))p Fn(=p)p Fp(.)46 b(T)-8 b(o)32 b(reac)m(h)h(our)e(goal,)i(w)m(e)118 1474 y(will)23 b(rewrite)h Fn(\022)634 1441 y Fl(c)631 1501 y Fg(\003)684 1474 y Fp(\()p Fn(p)p Fp(\))i(as)g(a)f(t)m(ypical)g(statistical)g(mec)m (hanics)h(exp)s(ected)g(v)-5 b(alue.)38 b(Giv)m(en)25 b(a)h(con\014guration)f Fn(!)3708 1488 y Fg(\003)3786 1474 y Fm(2)g Fp(\012)3938 1488 y Fg(\003)3990 1474 y Fp(,)118 1590 y(where)33 b(\012)450 1604 y Fg(\003)537 1590 y Fp(is)g(the)h(con\014guration)f(space)i(in)d(\003,)j(w)m(e)g (denote)f(b)m(y)g Fn(A)2457 1604 y Fl(!)2501 1615 y Ff(\003)2584 1590 y Fp(the)g(set)h(of)f(all)e(op)s(en)i(b)s(onds)e(of)i Fn(!)3783 1604 y Fg(\003)3869 1590 y Fp(and)118 1706 y(b)m(y)f Fn(F)305 1720 y Fl(!)349 1731 y Ff(\003)433 1706 y Fp(the)g(set)h(of)g(all)e(closed)h(b)s(onds)f(of)i Fn(!)1677 1720 y Fg(\003)1729 1706 y Fp(.)50 b(The)33 b(probabilit)m(y)e(assigned)i(to)h(a)f(giv)m(en)h(con\014guration)f Fn(!)3869 1720 y Fg(\003)3955 1706 y Fp(is)118 1821 y(giv)m(en)d(b)m(y) 1528 1937 y Fn(P)13 b Fp(\()p Fn(!)1691 1951 y Fg(\003)1744 1937 y Fp(\))26 b(=)f Fn(p)1947 1899 y Fk(j)p Fl(A)2020 1907 y Fe(!)2059 1924 y Ff(\003)2107 1899 y Fk(j)2131 1937 y Fp(\(1)c Fm(\000)f Fn(p)p Fp(\))2404 1899 y Fk(j)p Fl(F)2469 1907 y Fe(!)2508 1924 y Ff(\003)2557 1899 y Fk(j)2581 1937 y Fn(:)1223 b Fp(\(2)p Fn(:)p Fp(5\))118 2088 y(Of)30 b(course)g(\(2.5\))j(is)c(a)i(gen)m(uine)f(probabilit)m(y) d(in)j(the)g(sense)g(that)1721 2294 y(1)c(=)1939 2207 y Fh(X)1888 2404 y Fl(!)1932 2415 y Ff(\003)1977 2404 y Fk(2)p Fg(\012)2075 2415 y Ff(\003)2136 2294 y Fn(P)13 b Fp(\()p Fn(!)2299 2308 y Fg(\003)2352 2294 y Fp(\))p Fn(:)1417 b Fp(\(2)p Fn(:)p Fp(6\))118 2580 y(De\014ning)29 b(the)i(function)e Fn(\025)p Fp(\()p Fn(p)p Fp(\))1798 2756 y Fn(\025)p Fp(\()p Fn(p)p Fp(\))d(=)2098 2695 y(1)21 b Fm(\000)f Fn(p)p 2098 2735 203 4 v 2177 2819 a(p)2311 2756 y(;)1493 b Fp(\(2)p Fn(:)p Fp(7\))118 2973 y(w)m(e)31 b(rewrite)f(\(2.6\))i(as)e(follo)m(ws:)1524 3125 y(1)c(=)f Fn(p)1737 3087 y Fk(j)p Fl(B)s Fg(\(\003\))p Fk(j)2006 3038 y Fh(X)1955 3235 y Fl(!)1999 3246 y Ff(\003)2045 3235 y Fk(2)p Fg(\012)2143 3246 y Ff(\003)2188 3125 y Fp([)p Fn(\025)p Fp(\()p Fn(p)p Fp(\)])2407 3087 y Fk(j)p Fl(F)2472 3095 y Fe(!)2511 3112 y Ff(\003)2561 3087 y Fk(j)2585 3125 y Fn(:)1219 b Fp(\(2)p Fn(:)p Fp(8\))118 3392 y(Based)31 b(on)f(\(2.8\),)j(w)m(e)e(in)m(tro)s(duce)e(the)h (function)1629 3598 y Fn(Z)1691 3612 y Fg(\003)1745 3598 y Fp(\()p Fn(\025)p Fp(\))c(=)2046 3512 y Fh(X)1990 3709 y Fl(!)2034 3720 y Ff(\003)2079 3709 y Fk(2)12 b Fg(\012)2189 3720 y Ff(\003)2250 3598 y Fn(\025)2303 3561 y Fk(j)p Fl(F)2368 3569 y Fe(!)2407 3586 y Ff(\003)2455 3561 y Fk(j)2479 3598 y Fn(;)1325 b Fp(\(2)p Fn(:)p Fp(9\))118 3885 y(where)30 b Fn(\025)25 b Fm(2)g Fi(C)18 b Fp(,)36 b(and)30 b(w)m(e)h(rewrite)f(\(2.8\))i(as)1681 4115 y Fn(p)1727 4078 y Fk(j)p Fl(B)s Fg(\(\003\))p Fk(j)1956 4115 y Fp(=)2217 4054 y(1)p 2062 4094 356 4 v 2062 4178 a Fn(Z)2124 4192 y Fg(\003)2177 4178 y Fp(\()p Fn(\025)p Fp(\()p Fn(p)p Fp(\)\))2427 4115 y Fn(:)1331 b Fp(\(2)p Fn(:)p Fp(10\))118 4356 y(Explicitly)-8 b(,)28 b(w)m(e)j(ha)m(v)m(e)h (a)e(represen)m(tation)h(for)f Fn(\022)1750 4323 y Fl(c)1747 4383 y Fg(\003)1800 4356 y Fp(\()p Fn(p)p Fp(\))g(as)821 4591 y Fn(\022)867 4553 y Fl(c)864 4613 y Fg(\003)917 4591 y Fp(\()p Fn(p)p Fp(\))c(=)1221 4505 y Fh(X)1179 4690 y Fe(!)1218 4707 y Ff(\003)1264 4690 y Fd(2)p Ff(\012)1349 4707 y(\003)1164 4753 y Fe(C)s Fd(\\)p Fe(@)s Ff(\003=)p Fd(;)1434 4591 y Fn(p)1480 4553 y Fk(j)p Fl(A)1553 4561 y Fe(!)1592 4579 y Ff(\003)1641 4553 y Fk(j)1665 4591 y Fp(\(1)21 b Fm(\000)f Fn(p)p Fp(\))1938 4553 y Fk(j)p Fl(F)2003 4561 y Fe(!)2042 4579 y Ff(\003)2091 4553 y Fk(j)2140 4591 y Fp(=)2401 4529 y(1)p 2246 4570 V 2246 4653 a Fn(Z)2308 4667 y Fg(\003)2361 4653 y Fp(\()p Fn(\025)p Fp(\()p Fn(p)p Fp(\)\))2693 4505 y Fh(X)2651 4690 y Fe(!)2690 4707 y Ff(\003)2736 4690 y Fd(2)p Ff(\012)2821 4707 y(\003)2636 4753 y Fe(C)s Fd(\\)p Fe(@)s Ff(\003=)p Fd(;)2891 4591 y Fp([)p Fn(\025)p Fp(\()p Fn(p)p Fp(\)])3110 4553 y Fk(j)p Fl(F)3175 4561 y Fe(!)3214 4579 y Ff(\003)3264 4553 y Fk(j)3288 4591 y Fn(:)470 b Fp(\(2)p Fn(:)p Fp(11\))118 4921 y(The)31 b(ratio)g(giv)m(en)g(on)g(the)g(r.h.s.)43 b(of)31 b(\(2.11\))i(allo)m(ws)e(us)f(to)i(rein)m(terpret)e Fn(\022)2654 4888 y Fl(c)2651 4948 y Fg(\003)2704 4921 y Fp(\()p Fn(p)p Fp(\))i(as)f(an)g(exp)s(ected)g(v)-5 b(alue)31 b(in)f(sense)118 5037 y(of)37 b(classical)e(statistical)h (mec)m(hanics.)58 b(Starting)36 b(from)g(this)f(ratio,)j(w)m(e)e(dev)m (elop)h(a)f(represen)m(tation)h(for)f Fn(\022)3850 5004 y Fl(c)3847 5064 y Fg(\003)3899 5037 y Fp(\()p Fn(p)p Fp(\))118 5152 y(in)e(terms)h(of)g(suitable)e(geometrical)j(ob)5 b(jects,)37 b(called)d(p)s(olymers,)g(whic)m(h)g(will)e(allo)m(w)j(us)f (to)i(use)e(the)h(p)s(olymer)118 5268 y(expansion)29 b(in)g(order)h(to)h(pro)m(v)m(e)h(theorem)e(1.1.)1985 5517 y(3)p eop %%Page: 4 4 4 3 bop 1063 1843 a @beginspecial 94 @llx 316 @lly 543 @urx 764 @ury 2267 @rwi 2267 @rhi @setspecial %%BeginDocument: fig1.eps %!PS-Adobe-3.0 EPSF-3.0 %%BoundingBox: 94 316 543 764 %%Creator: CorelDRAW %%Title: %%CreationDate: Mon Oct 22 17:00:59 2001 %%DocumentProcessColors: Black %%DocumentSuppliedResources: (atend) %%EndComments %%BeginProlog /AutoFlatness true def /AutoSteps 0 def /CMYKMarks false def /UseLevel2 false def %Color profile: _DEFAULT.CCM - Genérico CMYK %%BeginResource: procset wCorel6Dict 6.0 0 % Copyright (c)1992-96 Corel Corporation % All rights reserved. v6.0 r1.1 /wCorel6Dict 300 dict def wCorel6Dict begin/bd{bind def}bind def/ld{load def} bd/xd{exch def}bd/_ null def/rp{{pop}repeat}bd/@cp/closepath ld/@gs/gsave ld /@gr/grestore ld/@np/newpath ld/Tl/translate ld/$sv 0 def/@sv{/$sv save def}bd /@rs{$sv restore}bd/spg/showpage ld/showpage{}bd currentscreen/@dsp xd/$dsp /@dsp def/$dsa xd/$dsf xd/$sdf false def/$SDF false def/$Scra 0 def/SetScr /setscreen ld/setscreen{pop pop pop}bd/@ss{2 index 0 eq{$dsf 3 1 roll 4 -1 roll pop}if exch $Scra add exch load SetScr}bd/SepMode_5 where{pop}{/SepMode_5 0 def}ifelse/CurrentInkName_5 where{pop}{/CurrentInkName_5(Composite)def}ifelse /$ink_5 where{pop}{/$ink_5 -1 def}ifelse/$c 0 def/$m 0 def/$y 0 def/$k 0 def /$t 1 def/$n _ def/$o 0 def/$fil 0 def/$C 0 def/$M 0 def/$Y 0 def/$K 0 def/$T 1 def/$N _ def/$O 0 def/$PF false def/s1c 0 def/s1m 0 def/s1y 0 def/s1k 0 def /s1t 0 def/s1n _ def/$bkg false def/SK 0 def/SM 0 def/SY 0 def/SC 0 def/$op false def matrix currentmatrix/$ctm xd/$ptm matrix def/$ttm matrix def/$stm matrix def/$fst 128 def/$pad 0 def/$rox 0 def/$roy 0 def/$fmp 50 def/$ffpnt true def/CorelDrawReencodeVect[16#0/grave 16#5/breve 16#6/dotaccent 16#8/ring 16#A/hungarumlaut 16#B/ogonek 16#C/caron 16#D/dotlessi 16#27/quotesingle 16#60/grave 16#7C/bar 16#82/quotesinglbase/florin/quotedblbase/ellipsis/dagger/daggerdbl 16#88/circumflex/perthousand/Scaron/guilsinglleft/OE 16#91/quoteleft/quoteright/quotedblleft/quotedblright/bullet/endash/emdash 16#98/tilde/trademark/scaron/guilsinglright/oe 16#9F/Ydieresis 16#A1/exclamdown/cent/sterling/currency/yen/brokenbar/section 16#a8/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/minus/registered/macron 16#b0/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph/periodcentered 16#b8/cedilla/onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequarters/questiondown 16#c0/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla 16#c8/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis 16#d0/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply 16#d8/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls 16#e0/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla 16#e8/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis 16#f0/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide 16#f8/oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def /L2?/languagelevel where{pop languagelevel 2 ge}{false}ifelse def /@BeginSysCorelDict{systemdict/Corel30Dict known{systemdict/Corel30Dict get exec}if}bd/@EndSysCorelDict{systemdict/Corel30Dict known{end}if}bd AutoFlatness {/@ifl{dup currentflat exch sub 10 gt{ ([Error: PathTooComplex; OffendingCommand: AnyPaintingOperator]\n)print flush @np exit}{currentflat 2 add setflat}ifelse}bd/@fill/fill ld/fill{currentflat{ {@fill}stopped{@ifl}{exit}ifelse}bind loop setflat}bd/@eofill/eofill ld/eofill {currentflat{{@eofill}stopped{@ifl}{exit}ifelse}bind loop setflat}bd/@clip /clip ld/clip{currentflat{{@clip}stopped{@ifl}{exit}ifelse}bind loop setflat} bd/@eoclip/eoclip ld/eoclip{currentflat{{@eoclip}stopped{@ifl}{exit}ifelse} bind loop setflat}bd/@stroke/stroke ld/stroke{currentflat{{@stroke}stopped {@ifl}{exit}ifelse}bind loop setflat}bd}if L2?{/@ssa{true setstrokeadjust}bd}{ /@ssa{}bd}ifelse/d/setdash ld/j/setlinejoin ld/J/setlinecap ld/M/setmiterlimit ld/w/setlinewidth ld/O{/$o xd}bd/R{/$O xd}bd/W/eoclip ld/c/curveto ld/C/c ld/l /lineto ld/L/l ld/rl/rlineto ld/m/moveto ld/n/newpath ld/N/newpath ld/P{11 rp} bd/u{}bd/U{}bd/A{pop}bd/q/@gs ld/Q/@gr ld/&{}bd/@j{@sv @np}bd/@J{@rs}bd/g{1 exch sub/$k xd/$c 0 def/$m 0 def/$y 0 def/$t 1 def/$n _ def/$fil 0 def}bd/G{1 sub neg/$K xd _ 1 0 0 0/$C xd/$M xd/$Y xd/$T xd/$N xd}bd/k{1 index type /stringtype eq{/$t xd/$n xd}{/$t 0 def/$n _ def}ifelse/$k xd/$y xd/$m xd/$c xd /$fil 0 def}bd/K{1 index type/stringtype eq{/$T xd/$N xd}{/$T 0 def/$N _ def} ifelse/$K xd/$Y xd/$M xd/$C xd}bd/x/k ld/X/K ld/sf{1 index type/stringtype eq{ /s1t xd/s1n xd}{/s1t 0 def/s1n _ def}ifelse/s1k xd/s1y xd/s1m xd/s1c xd}bd/i{ dup 0 ne{setflat}{pop}ifelse}bd/v{4 -2 roll 2 copy 6 -2 roll c}bd/V/v ld/y{2 copy c}bd/Y/y ld/@w{matrix rotate/$ptm xd matrix scale $ptm dup concatmatrix /$ptm xd 1 eq{$ptm exch dup concatmatrix/$ptm xd}if 1 w}bd/@g{1 eq dup/$sdf xd {/$scp xd/$sca xd/$scf xd}if}bd/@G{1 eq dup/$SDF xd{/$SCP xd/$SCA xd/$SCF xd} if}bd/@D{2 index 0 eq{$dsf 3 1 roll 4 -1 roll pop}if 3 copy exch $Scra add exch load SetScr/$dsp xd/$dsa xd/$dsf xd}bd/$ngx{$SDF{$SCF SepMode_5 0 eq{$SCA} {$dsa}ifelse $SCP @ss}if}bd/p{/$pm xd 7 rp/$pyf xd/$pxf xd/$pn xd/$fil 1 def} bd/@MN{2 copy le{pop}{exch pop}ifelse}bd/@MX{2 copy ge{pop}{exch pop}ifelse}bd /InRange{3 -1 roll @MN @MX}bd/wDstChck{2 1 roll dup 3 -1 roll eq{1 add}if}bd /@dot{dup mul exch dup mul add 1 exch sub}bd/@lin{exch pop abs 1 exch sub}bd /cmyk2rgb{3{dup 5 -1 roll add 1 exch sub dup 0 lt{pop 0}if exch}repeat pop}bd /rgb2cmyk{3{1 exch sub 3 1 roll}repeat 3 copy @MN @MN 3{dup 5 -1 roll sub neg exch}repeat}bd/rgb2g{2 index .299 mul 2 index .587 mul add 1 index .114 mul add 4 1 roll pop pop pop}bd/WaldoColor_5 where{pop}{/SetRgb/setrgbcolor ld/GetRgb /currentrgbcolor ld/SetGry/setgray ld/GetGry/currentgray ld/SetRgb2 systemdict /setrgbcolor get def/GetRgb2 systemdict/currentrgbcolor get def/SetHsb systemdict/sethsbcolor get def/GetHsb systemdict/currenthsbcolor get def /rgb2hsb{SetRgb2 GetHsb}bd/hsb2rgb{3 -1 roll dup floor sub 3 1 roll SetHsb GetRgb2}bd/setcmykcolor where{pop/SetCmyk_5/setcmykcolor ld}{/SetCmyk_5{ cmyk2rgb SetRgb}bd}ifelse/currentcmykcolor where{pop/GetCmyk/currentcmykcolor ld}{/GetCmyk{GetRgb rgb2cmyk}bd}ifelse/setoverprint where{pop}{/setoverprint{ /$op xd}bd}ifelse/currentoverprint where{pop}{/currentoverprint{$op}bd}ifelse /@tc_5{5 -1 roll dup 1 ge{pop}{4{dup 6 -1 roll mul exch}repeat pop}ifelse}bd /@trp{exch pop 5 1 roll @tc_5}bd/setprocesscolor_5{SepMode_5 0 eq{SetCmyk_5}{0 4 $ink_5 sub index exch pop 5 1 roll pop pop pop pop SepsColor true eq{$ink_5 3 gt{1 sub neg SetGry}{0 0 0 4 $ink_5 roll SetCmyk_5}ifelse}{1 sub neg SetGry} ifelse}ifelse}bd/findcmykcustomcolor where{pop}{/findcmykcustomcolor{5 array astore}bd}ifelse/setcustomcolor where{pop}{/setcustomcolor{exch aload pop SepMode_5 0 eq{pop @tc_5 setprocesscolor_5}{CurrentInkName_5 eq{4 index}{0} ifelse 6 1 roll 5 rp 1 sub neg SetGry}ifelse}bd}ifelse/@scc_5{dup type /booleantype eq{setoverprint}{1 eq setoverprint}ifelse dup _ eq{pop setprocesscolor_5 pop}{findcmykcustomcolor exch setcustomcolor}ifelse SepMode_5 0 eq{true}{GetGry 1 eq currentoverprint and not}ifelse}bd/colorimage where{pop /ColorImage{colorimage}def}{/ColorImage{/ncolors xd pop/dataaq xd{dataaq ncolors dup 3 eq{/$dat xd 0 1 $dat length 3 div 1 sub{dup 3 mul $dat 1 index get 255 div $dat 2 index 1 add get 255 div $dat 3 index 2 add get 255 div rgb2g 255 mul cvi exch pop $dat 3 1 roll put}for $dat 0 $dat length 3 idiv getinterval pop}{4 eq{/$dat xd 0 1 $dat length 4 div 1 sub{dup 4 mul $dat 1 index get 255 div $dat 2 index 1 add get 255 div $dat 3 index 2 add get 255 div $dat 4 index 3 add get 255 div cmyk2rgb rgb2g 255 mul cvi exch pop $dat 3 1 roll put}for $dat 0 $dat length ncolors idiv getinterval}if}ifelse}image}bd }ifelse/setcmykcolor{1 5 1 roll _ currentoverprint @scc_5/$ffpnt xd}bd /currentcmykcolor{0 0 0 0}bd/setrgbcolor{rgb2cmyk setcmykcolor}bd /currentrgbcolor{currentcmykcolor cmyk2rgb}bd/sethsbcolor{hsb2rgb setrgbcolor} bd/currenthsbcolor{currentrgbcolor rgb2hsb}bd/setgray{dup dup setrgbcolor}bd /currentgray{currentrgbcolor rgb2g}bd}ifelse/WaldoColor_5 true def/@sft{$tllx $pxf add dup $tllx gt{$pwid sub}if/$tx xd $tury $pyf sub dup $tury lt{$phei add}if/$ty xd}bd/@stb{pathbbox/$ury xd/$urx xd/$lly xd/$llx xd}bd/@ep{{cvx exec }forall}bd/@tp{@sv/$in true def 2 copy dup $lly le{/$in false def}if $phei sub $ury ge{/$in false def}if dup $urx ge{/$in false def}if $pwid add $llx le{/$in false def}if $in{@np 2 copy m $pwid 0 rl 0 $phei neg rl $pwid neg 0 rl 0 $phei rl clip @np $pn cvlit load aload pop 7 -1 roll 5 index sub 7 -1 roll 3 index sub Tl matrix currentmatrix/$ctm xd @ep pop pop pop pop}{pop pop}ifelse @rs}bd /@th{@sft 0 1 $tly 1 sub{dup $psx mul $tx add{dup $llx gt{$pwid sub}{exit} ifelse}loop exch $phei mul $ty exch sub 0 1 $tlx 1 sub{$pwid mul 3 copy 3 -1 roll add exch @tp pop}for pop pop}for}bd/@tv{@sft 0 1 $tlx 1 sub{dup $pwid mul $tx add exch $psy mul $ty exch sub{dup $ury lt{$phei add}{exit}ifelse}loop 0 1 $tly 1 sub{$phei mul 3 copy sub @tp pop}for pop pop}for}bd/@pf{@gs $ctm setmatrix $pm concat @stb eoclip Bburx Bbury $pm itransform/$tury xd/$turx xd Bbllx Bblly $pm itransform/$tlly xd/$tllx xd/$wid $turx $tllx sub def/$hei $tury $tlly sub def @gs $vectpat{1 0 0 0 0 _ $o @scc_5{eofill}if}{$t $c $m $y $k $n $o @scc_5{SepMode_5 0 eq $pfrg or{$tllx $tlly Tl $wid $hei scale <00> 8 1 false[8 0 0 1 0 0]{}imagemask}{/$bkg true def}ifelse}if}ifelse @gr $wid 0 gt $hei 0 gt and{$pn cvlit load aload pop/$pd xd 3 -1 roll sub/$phei xd exch sub /$pwid xd $wid $pwid div ceiling 1 add/$tlx xd $hei $phei div ceiling 1 add /$tly xd $psx 0 eq{@tv}{@th}ifelse}if @gr @np/$bkg false def}bd/@dlt_hsb{$fco nff ge{/$fco nff 1 sub def}if sub neg 2 div dup $fco div/kdb xd nff $fco sub div/kdb2 xd sub neg 2 div dup $fco div/kds xd nff $fco sub div/kds2 xd sub neg dup 0 eq{pop $frb 2 eq{.99}{-.99}ifelse}if dup $frb 2 eq exch 0 lt and{1 add} if dup $frb 1 eq exch 0 gt and{1 sub}if 2 div dup $fco div/kdh xd nff $fco sub div/kdh2 xd}bd/@dlt_cmyk{$fmp 50 eq{sub neg nff dup 1 gt{1 sub}if div/$dk xd sub neg nff dup 1 gt{1 sub}if div/$dy xd sub neg nff dup 1 gt{1 sub}if div/$dm xd sub neg nff dup 1 gt{1 sub}if div/$dc xd sub neg nff dup 1 gt{1 sub}if div /$dt xd}{$fco nff ge{/$fco nff 1 sub def}if sub neg 2 div dup $fco div/$dk xd nff $fco sub div/$dk2 xd sub neg 2 div dup $fco div/$dy xd nff $fco sub div /$dy2 xd sub neg 2 div dup $fco div/$dm xd nff $fco sub div/$dm2 xd sub neg 2 div dup $fco div/$dc xd nff $fco sub div/$dc2 xd sub neg 2 div dup $fco div /$dt xd nff $fco sub div/$dt2 xd}ifelse}bd/@dlt{$fse $fss sub dup/nff xd $fmp mul $fmp add 100 div round cvi dup 0 le{pop 1}if/$fco xd/$fi 0 def $frb dup 1 eq exch 2 eq or{$frt dup $frc $frm $fry $frk @tc_5 4 copy cmyk2rgb rgb2hsb 3 copy/myb xd/mys xd/myh xd $tot $toc $tom $toy $tok @tc_5 cmyk2rgb rgb2hsb 3 1 roll 4 1 roll 5 1 roll @dlt_hsb}{$frt dup $frc $frm $fry $frk @tc_5 5 copy $tot dup $toc $tom $toy $tok @tc_5 5 1 roll 6 1 roll 7 1 roll 8 1 roll 9 1 roll @dlt_cmyk}ifelse}bd/@ffnxt{/$fi $fi 1 add def $frb dup 1 eq exch 2 eq or{pop pop pop pop myh mys myb $fi $fco lt{kdb add 3 1 roll kds add 3 1 roll kdh add 3 1 roll}{kdb2 add 3 1 roll kds2 add 3 1 roll kdh2 add 3 1 roll}ifelse 3 copy /myb xd/mys xd/myh xd hsb2rgb rgb2cmyk}{$fi $fco lt $fmp 50 eq or{$dk add 5 1 roll $dy add 5 1 roll $dm add 5 1 roll $dc add 5 1 roll $dt add 5 1 roll}{$dk2 add 5 1 roll $dy2 add 5 1 roll $dm2 add 5 1 roll $dc2 add 5 1 roll $dt2 add 5 1 roll}ifelse}ifelse}bd/ffcol{5 copy $fsit 0 eq{setcmykcolor pop}{SepMode_5 0 ne {$frn findcmykcustomcolor exch setcustomcolor}{pop pop pop pop $frc $frm $fry $frk $frn findcmykcustomcolor exch setcustomcolor}ifelse}ifelse}bd/@ftl{1 index 4 index sub dup $pad mul dup/$pdw xd 2 mul sub $fst div/$wid xd 2 index sub /$hei xd pop Tl @dlt $fss 0 eq{ffcol n 0 0 m 0 $hei l $pdw $hei l $pdw 0 l @cp $ffpnt{fill}{@np}ifelse}if $fss $wid mul $pdw add 0 Tl nff{ffcol n 0 0 m 0 $hei l $wid $hei l $wid 0 l @cp $ffpnt{fill}{@np}ifelse $wid 0 Tl @ffnxt}repeat 5 rp $tot dup $toc $tom $toy $tok @tc_5 ffcol n 0 0 m 0 $hei l $pdw $hei l $pdw 0 l @cp $ffpnt{fill}{@np}ifelse 5 rp}bd/@ftrs{1 index 4 index sub dup $rox mul /$row xd 2 div 1 index 4 index sub dup $roy mul/$roh xd 2 div 2 copy dup mul exch dup mul add sqrt $row dup mul $roh dup mul add sqrt add dup/$hei xd $fst div/$wid xd 4 index add $roh add exch 5 index add $row add exch Tl $fan rotate pop pop pop pop @dlt $fss 0 eq{ffcol $fty 3 eq{$hei dup neg dup m 2 mul @sqr}{ 0 0 m 0 0 $hei 0 360 arc}ifelse $ffpnt{fill}{@np}ifelse}if 1.0 $pad 2 mul sub dup scale $hei $fss $wid mul sub/$hei xd nff{ffcol $fty 3 eq{n $hei dup neg dup m 2 mul @sqr}{n 0 0 m 0 0 $hei 0 360 arc}ifelse $ffpnt{fill}{@np}ifelse/$hei $hei $wid sub def @ffnxt}repeat 5 rp}bd/@ftc{1 index 4 index sub dup $rox mul /$row xd 2 div 1 index 4 index sub dup $roy mul/$roh xd 2 div 2 copy dup mul exch dup mul add sqrt $row dup mul $roh dup mul add sqrt add dup/$hei xd $fst div/$wid xd 4 index add $roh add exch 5 index add $row add exch Tl pop pop pop pop @dlt $fss 0 eq{ffcol $ffpnt{fill}{@np}ifelse}{n}ifelse/$dang 180 $fst 1 sub div def/$sang $dang -2 div 180 add def/$eang $dang 2 div 180 add def/$sang $sang $dang $fss mul add def/$eang $eang $dang $fss mul add def/$sang $eang $dang sub def nff{ffcol n 0 0 m 0 0 $hei $sang $fan add $eang $fan add arc $ffpnt{fill}{@np}ifelse 0 0 m 0 0 $hei $eang neg $fan add $sang neg $fan add arc $ffpnt{fill}{@np}ifelse/$sang $eang def/$eang $eang $dang add def @ffnxt} repeat 5 rp}bd/@fstAdjust{72 0 matrix defaultmatrix dtransform exch dup mul exch dup mul add sqrt currentscreen pop pop div dup mul 1 add cvi 2 256 InRange $fsc 1 sub dup 0 le{pop 1}if mul/opt$fst xd AutoSteps dup 1 eq exch 3 eq or{ opt$fst dup dup $fst dup 3 1 roll div exch 3 -1 roll gt{/$adj xd/$fst xd}{pop pop}ifelse}if AutoSteps dup 2 eq exch 3 eq or{opt$fst dup dup $fst dup 3 1 roll div exch 3 -1 roll lt{/$adj xd/$fst xd}{pop pop}ifelse}if}bd/@ff{/old$fst $fst def/$adj 1 def/$fss 0 def $o 1 eq setoverprint AutoSteps 0 gt{@fstAdjust}if 1 1 $fsc 1 sub{dup 1 sub $fsit 0 eq{$fsa exch 5 mul 5 getinterval aload pop pop /$frk xd/$fry xd/$frm xd/$frc xd/$frn _ def/$frt 1 def $fsa exch 5 mul 5 getinterval aload pop $adj mul cvi $fss add/$fse xd/$tok xd/$toy xd/$tom xd /$toc xd/$ton _ def/$tot 1 def}{$fsa exch 7 mul 7 getinterval aload pop pop /$frt xd/$frn xd/$frk xd/$fry xd/$frm xd/$frc xd $fsa exch 7 mul 7 getinterval aload pop $adj mul cvi $fss add/$fse xd/$tot xd/$ton xd/$tok xd/$toy xd/$tom xd /$toc xd}ifelse $fsit 0 eq SepMode_5 0 eq or dup not CurrentInkName_5 $frn eq and or{@sv $ctm setmatrix eoclip Bbllx Bblly Bburx Bbury $fty 2 eq{@ftc}{1 index 3 index m 2 copy l 3 index 1 index l 3 index 3 index l @cp $fty dup 1 eq exch 3 eq or{@ftrs}{pop pop pop pop $fan rotate pathbbox @ftl}ifelse}ifelse @rs /$fss $fse def}{1 0 0 0 0 _ $o @scc_5{fill}if}ifelse}for @np/$fst old$fst def} bd/@Pf{@sv SepMode_5 0 eq $Psc 0 ne or $ink_5 3 eq or{0 J 0 j[]0 d $t $c $m $y $k $n $o @scc_5 pop $ctm setmatrix 72 1000 div dup matrix scale dup concat dup Bburx exch Bbury exch itransform ceiling cvi/Bbury xd ceiling cvi/Bburx xd Bbllx exch Bblly exch itransform floor cvi/Bblly xd floor cvi/Bbllx xd $Prm aload pop $Psn load exec}{1 SetGry eofill}ifelse @rs @np}bd/F{matrix currentmatrix $sdf{$scf $sca $scp @ss}if $fil 1 eq{@pf}{$fil 2 eq{@ff}{$fil 3 eq{@Pf}{$t $c $m $y $k $n $o @scc_5{eofill}{@np}ifelse}ifelse}ifelse}ifelse $sdf{$dsf $dsa $dsp @ss}if setmatrix}bd/f{@cp F}bd/S{matrix currentmatrix $ctm setmatrix $SDF{$SCF $SCA $SCP @ss}if $T $C $M $Y $K $N $O @scc_5{matrix currentmatrix $ptm concat stroke setmatrix}{@np}ifelse $SDF{$dsf $dsa $dsp @ss}if setmatrix}bd/s{@cp S}bd/B{@gs F @gr S}bd/b{@cp B}bd/_E{5 array astore exch cvlit xd}bd/@cc{currentfile $dat readhexstring pop}bd/@sm{/$ctm $ctm currentmatrix def}bd/@E{/Bbury xd/Bburx xd/Bblly xd/Bbllx xd}bd/@c{@cp}bd/@p{ /$fil 1 def 1 eq dup/$vectpat xd{/$pfrg true def}{@gs $t $c $m $y $k $n $o @scc_5/$pfrg xd @gr}ifelse/$pm xd/$psy xd/$psx xd/$pyf xd/$pxf xd/$pn xd}bd/@P {/$fil 3 def/$Psn xd/$Psc xd array astore/$Prm xd}bd/@k{/$fil 2 def/$fmp xd /$roy xd/$rox xd/$pad xd/$fty xd/$fan xd $fty 1 eq{/$fan 0 def}if/$frb xd/$fst xd/$fsc xd/$fsa xd/$fsit 0 def}bd/@x{/$fil 2 def/$fmp xd/$roy xd/$rox xd/$pad xd/$fty xd/$fan xd $fty 1 eq{/$fan 0 def}if/$frb xd/$fst xd/$fsc xd/$fsa xd /$fsit 1 def}bd/@ii{concat 3 index 3 index m 3 index 1 index l 2 copy l 1 index 3 index l 3 index 3 index l clip pop pop pop pop}bd/tcc{@cc}def/@i{@sm @gs @ii 6 index 1 ne{/$frg true def pop pop}{1 eq{s1t s1c s1m s1y s1k s1n $O @scc_5 /$frg xd}{/$frg false def}ifelse 1 eq{@gs $ctm setmatrix F @gr}if}ifelse @np /$ury xd/$urx xd/$lly xd/$llx xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul 8 div ceiling cvi string def $bkg $frg or{$SDF{$SCF $SCA $SCP @ss}if $llx $lly Tl $urx $llx sub $ury $lly sub scale $bkg{$t $c $m $y $k $n $o @scc_5 pop}if $wid $hei abs $bts 1 eq{$bkg}{$bts}ifelse[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]/tcc load $bts 1 eq{imagemask}{image}ifelse $SDF{$dsf $dsa $dsp @ss}if}{$hei abs{tcc pop}repeat}ifelse @gr $ctm setmatrix}bd/@I{@sm @gs @ii @np/$ury xd/$urx xd/$lly xd/$llx xd/$ncl xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul $ncl mul 8 div ceiling cvi string def $ngx $llx $lly Tl $urx $llx sub $ury $lly sub scale $wid $hei abs $bts[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]/@cc load false $ncl ColorImage $SDF{$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd L2?{/@I_2{@sm @gs @ii @np/$ury xd/$urx xd/$lly xd/$llx xd /$ncl xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul $ncl mul 8 div ceiling cvi string def $ngx $ncl 1 eq{/DeviceGray}{$ncl 3 eq{/DeviceRGB}{/DeviceCMYK} ifelse}ifelse setcolorspace $llx $lly Tl $urx $llx sub $ury $lly sub scale 8 dict begin/ImageType 1 def/Width $wid def/Height $hei abs def/BitsPerComponent $bts def/Decode $ncl 1 eq{[0 1]}{$ncl 3 eq{[0 1 0 1 0 1]}{[0 1 0 1 0 1 0 1]} ifelse}ifelse def/ImageMatrix[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]def /DataSource currentfile/ASCII85Decode filter def currentdict end image $SDF {$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd}{/@I_2{}bd}ifelse/z{exch findfont exch scalefont setfont}bd/ZB{9 dict dup begin 4 1 roll/FontType 3 def /FontMatrix xd/FontBBox xd/Encoding 256 array def 0 1 255{Encoding exch /.notdef put}for/CharStrings 256 dict def CharStrings/.notdef{}put/Metrics 256 dict def Metrics/.notdef 3 -1 roll put/BuildChar{exch dup/$char exch/Encoding get 3 index get def dup/Metrics get $char get aload pop setcachedevice begin Encoding exch get CharStrings exch get end exec}def end definefont pop}bd /ZBAddChar{findfont begin dup 4 1 roll dup 6 1 roll Encoding 3 1 roll put CharStrings 3 1 roll put Metrics 3 1 roll put end}bd/Z{findfont dup maxlength 2 add dict exch dup{1 index/FID ne{3 index 3 1 roll put}{pop pop}ifelse}forall pop dup dup/Encoding get 256 array copy dup/$fe xd/Encoding exch put dup /Fontname 3 index put 3 -1 roll dup length 0 ne{0 exch{dup type 0 type eq{exch pop}{$fe exch 2 index exch put 1 add}ifelse}forall pop}if dup 256 dict dup /$met xd/Metrics exch put dup/FontMatrix get 0 get 1000 mul 1 exch div 3 index length 256 eq{0 1 255{dup $fe exch get dup/.notdef eq{pop pop}{5 index 3 -1 roll get 2 index mul $met 3 1 roll put}ifelse}for}if pop definefont pop pop}bd /@ftx{{currentpoint 3 -1 roll(0)dup 3 -1 roll 0 exch put dup @gs true charpath $ctm setmatrix @@txt @gr @np stringwidth pop 3 -1 roll add exch m}forall}bd /@ft{matrix currentmatrix exch $sdf{$scf $sca $scp @ss}if $fil 1 eq{/@@txt/@pf ld @ftx}{$fil 2 eq{/@@txt/@ff ld @ftx}{$fil 3 eq{/@@txt/@Pf ld @ftx}{$t $c $m $y $k $n $o @scc_5{show}{pop}ifelse}ifelse}ifelse}ifelse $sdf{$dsf $dsa $dsp @ss}if setmatrix}bd/@st{matrix currentmatrix exch $SDF{$SCF $SCA $SCP @ss}if $T $C $M $Y $K $N $O @scc_5{{currentpoint 3 -1 roll(0)dup 3 -1 roll 0 exch put dup @gs true charpath $ctm setmatrix $ptm concat stroke @gr @np stringwidth pop 3 -1 roll add exch m}forall}{pop}ifelse $SDF{$dsf $dsa $dsp @ss}if setmatrix}bd /@te{@ft}bd/@tr{@st}bd/@ta{dup @gs @ft @gr @st}bd/@t@a{dup @gs @st @gr @ft}bd /@tm{@sm concat}bd/e{/t{@te}def}bd/r{/t{@tr}def}bd/o{/t{pop}def}bd/a{/t{@ta} def}bd/@a{/t{@t@a}def}bd/t{@te}def/T{@np $ctm setmatrix/$ttm matrix def}bd/ddt {t}def/@t{/$stm $stm currentmatrix def 3 1 roll m $ttm concat ddt $stm setmatrix}bd/@n{/$ttm exch matrix rotate def}bd/@s{}bd/@l{}bd/@B{@gs S @gr F} bd/@b{@cp @B}bd/@sep{CurrentInkName_5(Composite)eq{/$ink_5 -1 def}{ CurrentInkName_5(Cyan)eq{/$ink_5 0 def}{CurrentInkName_5(Magenta)eq{/$ink_5 1 def}{CurrentInkName_5(Yellow)eq{/$ink_5 2 def}{CurrentInkName_5(Black)eq {/$ink_5 3 def}{/$ink_5 4 def}ifelse}ifelse}ifelse}ifelse}ifelse}bd/@whi{@gs -72000 dup m -72000 72000 l 72000 dup l 72000 -72000 l @cp 1 SetGry fill @gr} bd/@neg{[{1 exch sub}/exec cvx currenttransfer/exec cvx]cvx settransfer @whi} bd/currentscale{1 0 dtransform matrix defaultmatrix idtransform dup mul exch dup mul add sqrt 0 1 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201.19039 363.63061 200.40973 363.63061 c 199.62907 363.63061 198.99241 364.26728 198.99241 365.04794 c 198.99241 365.82860 199.62907 366.46526 200.40973 366.46526 c @c B @rax %Note: Object 376.87351 363.63061 379.70816 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 366.46526 m 379.07150 366.46526 379.70816 365.82860 379.70816 365.04794 c 379.70816 364.26728 379.07150 363.63061 378.29083 363.63061 c 377.51017 363.63061 376.87351 364.26728 376.87351 365.04794 c 376.87351 365.82860 377.51017 366.46526 378.29083 366.46526 c @c B @rax %Note: Object 347.22652 363.63061 350.06117 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 366.46526 m 349.42450 366.46526 350.06117 365.82860 350.06117 365.04794 c 350.06117 364.26728 349.42450 363.63061 348.64384 363.63061 c 347.86318 363.63061 347.22652 364.26728 347.22652 365.04794 c 347.22652 365.82860 347.86318 366.46526 348.64384 366.46526 c @c B @rax %Note: Object 317.57981 363.63061 320.41446 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 318.99713 366.46526 m 319.77780 366.46526 320.41446 365.82860 320.41446 365.04794 c 320.41446 364.26728 319.77780 363.63061 318.99713 363.63061 c 318.21647 363.63061 317.57981 364.26728 317.57981 365.04794 c 317.57981 365.82860 318.21647 366.46526 318.99713 366.46526 c @c B @rax %Note: Object 287.93282 363.63061 290.76746 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 289.35014 366.46526 m 290.13080 366.46526 290.76746 365.82860 290.76746 365.04794 c 290.76746 364.26728 290.13080 363.63061 289.35014 363.63061 c 288.56948 363.63061 287.93282 364.26728 287.93282 365.04794 c 287.93282 365.82860 288.56948 366.46526 289.35014 366.46526 c @c B @rax %Note: Object 258.28611 363.63061 261.12076 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 259.70343 366.46526 m 260.48409 366.46526 261.12076 365.82860 261.12076 365.04794 c 261.12076 364.26728 260.48409 363.63061 259.70343 363.63061 c 258.92277 363.63061 258.28611 364.26728 258.28611 365.04794 c 258.28611 365.82860 258.92277 366.46526 259.70343 366.46526 c @c B @rax %Note: Object 436.16721 363.63061 439.00186 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 437.58454 366.46526 m 438.36520 366.46526 439.00186 365.82860 439.00186 365.04794 c 439.00186 364.26728 438.36520 363.63061 437.58454 363.63061 c 436.80387 363.63061 436.16721 364.26728 436.16721 365.04794 c 436.16721 365.82860 436.80387 366.46526 437.58454 366.46526 c @c B @rax %Note: Object 525.10791 363.63061 527.94255 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 526.52523 366.46526 m 527.30589 366.46526 527.94255 365.82860 527.94255 365.04794 c 527.94255 364.26728 527.30589 363.63061 526.52523 363.63061 c 525.74457 363.63061 525.10791 364.26728 525.10791 365.04794 c 525.10791 365.82860 525.74457 366.46526 526.52523 366.46526 c @c B @rax %Note: Object 495.46091 363.63061 498.29556 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 496.87824 366.46526 m 497.65890 366.46526 498.29556 365.82860 498.29556 365.04794 c 498.29556 364.26728 497.65890 363.63061 496.87824 363.63061 c 496.09757 363.63061 495.46091 364.26728 495.46091 365.04794 c 495.46091 365.82860 496.09757 366.46526 496.87824 366.46526 c @c B @rax %Note: Object 465.81392 363.63061 468.64857 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 467.23124 366.46526 m 468.01191 366.46526 468.64857 365.82860 468.64857 365.04794 c 468.64857 364.26728 468.01191 363.63061 467.23124 363.63061 c 466.45058 363.63061 465.81392 364.26728 465.81392 365.04794 c 465.81392 365.82860 466.45058 366.46526 467.23124 366.46526 c @c B @rax %Note: Object 169.34542 393.28923 172.18006 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 396.12387 m 171.54340 396.12387 172.18006 395.48721 172.18006 394.70655 c 172.18006 393.92589 171.54340 393.28923 170.76274 393.28923 c 169.98208 393.28923 169.34542 393.92589 169.34542 394.70655 c 169.34542 395.48721 169.98208 396.12387 170.76274 396.12387 c @c B @rax %Note: Object 139.69871 393.28923 142.53335 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 396.12387 m 141.89669 396.12387 142.53335 395.48721 142.53335 394.70655 c 142.53335 393.92589 141.89669 393.28923 141.11603 393.28923 c 140.33537 393.28923 139.69871 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%Note: Object 228.63912 393.28923 231.47376 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 396.12387 m 230.83710 396.12387 231.47376 395.48721 231.47376 394.70655 c 231.47376 393.92589 230.83710 393.28923 230.05644 393.28923 c 229.27578 393.28923 228.63912 393.92589 228.63912 394.70655 c 228.63912 395.48721 229.27578 396.12387 230.05644 396.12387 c @c B @rax %Note: Object 198.99241 393.28923 201.82706 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 396.12387 m 201.19039 396.12387 201.82706 395.48721 201.82706 394.70655 c 201.82706 393.92589 201.19039 393.28923 200.40973 393.28923 c 199.62907 393.28923 198.99241 393.92589 198.99241 394.70655 c 198.99241 395.48721 199.62907 396.12387 200.40973 396.12387 c @c B @rax %Note: Object 376.87351 393.28923 379.70816 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 396.12387 m 379.07150 396.12387 379.70816 395.48721 379.70816 394.70655 c 379.70816 393.92589 379.07150 393.28923 378.29083 393.28923 c 377.51017 393.28923 376.87351 393.92589 376.87351 394.70655 c 376.87351 395.48721 377.51017 396.12387 378.29083 396.12387 c @c B @rax %Note: Object 347.22652 393.28923 350.06117 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 396.12387 m 349.42450 396.12387 350.06117 395.48721 350.06117 394.70655 c 350.06117 393.92589 349.42450 393.28923 348.64384 393.28923 c 347.86318 393.28923 347.22652 393.92589 347.22652 394.70655 c 347.22652 395.48721 347.86318 396.12387 348.64384 396.12387 c @c B @rax %Note: Object 317.57981 393.28923 320.41446 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 318.99713 396.12387 m 319.77780 396.12387 320.41446 395.48721 320.41446 394.70655 c 320.41446 393.92589 319.77780 393.28923 318.99713 393.28923 c 318.21647 393.28923 317.57981 393.92589 317.57981 394.70655 c 317.57981 395.48721 318.21647 396.12387 318.99713 396.12387 c @c B @rax %Note: Object 287.93282 393.28923 290.76746 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 289.35014 396.12387 m 290.13080 396.12387 290.76746 395.48721 290.76746 394.70655 c 290.76746 393.92589 290.13080 393.28923 289.35014 393.28923 c 288.56948 393.28923 287.93282 393.92589 287.93282 394.70655 c 287.93282 395.48721 288.56948 396.12387 289.35014 396.12387 c @c B @rax %Note: Object 258.28611 393.28923 261.12076 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 259.70343 396.12387 m 260.48409 396.12387 261.12076 395.48721 261.12076 394.70655 c 261.12076 393.92589 260.48409 393.28923 259.70343 393.28923 c 258.92277 393.28923 258.28611 393.92589 258.28611 394.70655 c 258.28611 395.48721 258.92277 396.12387 259.70343 396.12387 c @c B @rax %Note: Object 436.16721 393.28923 439.00186 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 437.58454 396.12387 m 438.36520 396.12387 439.00186 395.48721 439.00186 394.70655 c 439.00186 393.92589 438.36520 393.28923 437.58454 393.28923 c 436.80387 393.28923 436.16721 393.92589 436.16721 394.70655 c 436.16721 395.48721 436.80387 396.12387 437.58454 396.12387 c @c B @rax %Note: Object 525.10791 393.28923 527.94255 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 526.52523 396.12387 m 527.30589 396.12387 527.94255 395.48721 527.94255 394.70655 c 527.94255 393.92589 527.30589 393.28923 526.52523 393.28923 c 525.74457 393.28923 525.10791 393.92589 525.10791 394.70655 c 525.10791 395.48721 525.74457 396.12387 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110.05172 511.92340 112.88636 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 514.75805 m 112.24970 514.75805 112.88636 514.12139 112.88636 513.34072 c 112.88636 512.56006 112.24970 511.92340 111.46904 511.92340 c 110.68838 511.92340 110.05172 512.56006 110.05172 513.34072 c 110.05172 514.12139 110.68838 514.75805 111.46904 514.75805 c @c B @rax %Note: Object 406.52022 511.92340 409.35487 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 514.75805 m 408.71820 514.75805 409.35487 514.12139 409.35487 513.34072 c 409.35487 512.56006 408.71820 511.92340 407.93754 511.92340 c 407.15688 511.92340 406.52022 512.56006 406.52022 513.34072 c 406.52022 514.12139 407.15688 514.75805 407.93754 514.75805 c @c B @rax %Note: Object 228.63912 511.92340 231.47376 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 514.75805 m 230.83710 514.75805 231.47376 514.12139 231.47376 513.34072 c 231.47376 512.56006 230.83710 511.92340 230.05644 511.92340 c 229.27578 511.92340 228.63912 512.56006 228.63912 513.34072 c 228.63912 514.12139 229.27578 514.75805 230.05644 514.75805 c @c B @rax %Note: Object 198.99241 511.92340 201.82706 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 514.75805 m 201.19039 514.75805 201.82706 514.12139 201.82706 513.34072 c 201.82706 512.56006 201.19039 511.92340 200.40973 511.92340 c 199.62907 511.92340 198.99241 512.56006 198.99241 513.34072 c 198.99241 514.12139 199.62907 514.75805 200.40973 514.75805 c @c B @rax %Note: Object 376.87351 511.92340 379.70816 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 514.75805 m 379.07150 514.75805 379.70816 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511.92340 317.57981 512.56006 317.57981 513.34072 c 317.57981 514.12139 318.21647 514.75805 318.99713 514.75805 c @c B @rax %Note: Object 287.93282 511.92340 290.76746 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 289.35014 514.75805 m 290.13080 514.75805 290.76746 514.12139 290.76746 513.34072 c 290.76746 512.56006 290.13080 511.92340 289.35014 511.92340 c 288.56948 511.92340 287.93282 512.56006 287.93282 513.34072 c 287.93282 514.12139 288.56948 514.75805 289.35014 514.75805 c @c B @rax %Note: Object 258.28611 511.92340 261.12076 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 259.70343 514.75805 m 260.48409 514.75805 261.12076 514.12139 261.12076 513.34072 c 261.12076 512.56006 260.48409 511.92340 259.70343 511.92340 c 258.92277 511.92340 258.28611 512.56006 258.28611 513.34072 c 258.28611 514.12139 258.92277 514.75805 259.70343 514.75805 c @c B @rax %Note: Object 436.16721 511.92340 439.00186 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 437.58454 514.75805 m 438.36520 514.75805 439.00186 514.12139 439.00186 513.34072 c 439.00186 512.56006 438.36520 511.92340 437.58454 511.92340 c 436.80387 511.92340 436.16721 512.56006 436.16721 513.34072 c 436.16721 514.12139 436.80387 514.75805 437.58454 514.75805 c @c B @rax %Note: Object 525.10791 511.92340 527.94255 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 526.52523 514.75805 m 527.30589 514.75805 527.94255 514.12139 527.94255 513.34072 c 527.94255 512.56006 527.30589 511.92340 526.52523 511.92340 c 525.74457 511.92340 525.10791 512.56006 525.10791 513.34072 c 525.10791 514.12139 525.74457 514.75805 526.52523 514.75805 c @c B @rax %Note: Object 495.46091 511.92340 498.29556 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 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m 171.54340 544.41666 172.18006 543.78000 172.18006 542.99934 c 172.18006 542.21868 171.54340 541.58202 170.76274 541.58202 c 169.98208 541.58202 169.34542 542.21868 169.34542 542.99934 c 169.34542 543.78000 169.98208 544.41666 170.76274 544.41666 c @c B @rax %Note: Object 139.69871 541.58202 142.53335 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 544.41666 m 141.89669 544.41666 142.53335 543.78000 142.53335 542.99934 c 142.53335 542.21868 141.89669 541.58202 141.11603 541.58202 c 140.33537 541.58202 139.69871 542.21868 139.69871 542.99934 c 139.69871 543.78000 140.33537 544.41666 141.11603 544.41666 c @c B @rax %Note: Object 110.05172 541.58202 112.88636 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 544.41666 m 112.24970 544.41666 112.88636 543.78000 112.88636 542.99934 c 112.88636 542.21868 112.24970 541.58202 111.46904 541.58202 c 110.68838 541.58202 110.05172 542.21868 110.05172 542.99934 c 110.05172 543.78000 110.68838 544.41666 111.46904 544.41666 c @c B @rax %Note: Object 406.52022 541.58202 409.35487 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 544.41666 m 408.71820 544.41666 409.35487 543.78000 409.35487 542.99934 c 409.35487 542.21868 408.71820 541.58202 407.93754 541.58202 c 407.15688 541.58202 406.52022 542.21868 406.52022 542.99934 c 406.52022 543.78000 407.15688 544.41666 407.93754 544.41666 c @c B @rax %Note: Object 228.63912 541.58202 231.47376 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 544.41666 m 230.83710 544.41666 231.47376 543.78000 231.47376 542.99934 c 231.47376 542.21868 230.83710 541.58202 230.05644 541.58202 c 229.27578 541.58202 228.63912 542.21868 228.63912 542.99934 c 228.63912 543.78000 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@E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 544.41666 m 349.42450 544.41666 350.06117 543.78000 350.06117 542.99934 c 350.06117 542.21868 349.42450 541.58202 348.64384 541.58202 c 347.86318 541.58202 347.22652 542.21868 347.22652 542.99934 c 347.22652 543.78000 347.86318 544.41666 348.64384 544.41666 c @c B @rax %Note: Object 317.57981 541.58202 320.41446 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 318.99713 544.41666 m 319.77780 544.41666 320.41446 543.78000 320.41446 542.99934 c 320.41446 542.21868 319.77780 541.58202 318.99713 541.58202 c 318.21647 541.58202 317.57981 542.21868 317.57981 542.99934 c 317.57981 543.78000 318.21647 544.41666 318.99713 544.41666 c @c B @rax %Note: Object 287.93282 541.58202 290.76746 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 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542.21868 438.36520 541.58202 437.58454 541.58202 c 436.80387 541.58202 436.16721 542.21868 436.16721 542.99934 c 436.16721 543.78000 436.80387 544.41666 437.58454 544.41666 c @c B @rax %Note: Object 525.10791 541.58202 527.94255 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 526.52523 544.41666 m 527.30589 544.41666 527.94255 543.78000 527.94255 542.99934 c 527.94255 542.21868 527.30589 541.58202 526.52523 541.58202 c 525.74457 541.58202 525.10791 542.21868 525.10791 542.99934 c 525.10791 543.78000 525.74457 544.41666 526.52523 544.41666 c @c B @rax %Note: Object 495.46091 541.58202 498.29556 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 496.87824 544.41666 m 497.65890 544.41666 498.29556 543.78000 498.29556 542.99934 c 498.29556 542.21868 497.65890 541.58202 496.87824 541.58202 c 496.09757 541.58202 495.46091 542.21868 495.46091 542.99934 c 495.46091 543.78000 496.09757 544.41666 496.87824 544.41666 c @c B @rax %Note: Object 465.81392 541.58202 468.64857 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 467.23124 544.41666 m 468.01191 544.41666 468.64857 543.78000 468.64857 542.99934 c 468.64857 542.21868 468.01191 541.58202 467.23124 541.58202 c 466.45058 541.58202 465.81392 542.21868 465.81392 542.99934 c 465.81392 543.78000 466.45058 544.41666 467.23124 544.41666 c @c B @rax %Note: Object 169.34542 571.24063 172.18006 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 574.07528 m 171.54340 574.07528 172.18006 573.43861 172.18006 572.65795 c 172.18006 571.87729 171.54340 571.24063 170.76274 571.24063 c 169.98208 571.24063 169.34542 571.87729 169.34542 572.65795 c 169.34542 573.43861 169.98208 574.07528 170.76274 574.07528 c @c B @rax %Note: Object 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0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 574.07528 m 408.71820 574.07528 409.35487 573.43861 409.35487 572.65795 c 409.35487 571.87729 408.71820 571.24063 407.93754 571.24063 c 407.15688 571.24063 406.52022 571.87729 406.52022 572.65795 c 406.52022 573.43861 407.15688 574.07528 407.93754 574.07528 c @c B @rax %Note: Object 228.63912 571.24063 231.47376 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 574.07528 m 230.83710 574.07528 231.47376 573.43861 231.47376 572.65795 c 231.47376 571.87729 230.83710 571.24063 230.05644 571.24063 c 229.27578 571.24063 228.63912 571.87729 228.63912 572.65795 c 228.63912 573.43861 229.27578 574.07528 230.05644 574.07528 c @c B @rax %Note: Object 198.99241 571.24063 201.82706 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 574.07528 m 201.19039 574.07528 201.82706 573.43861 201.82706 572.65795 c 201.82706 571.87729 201.19039 571.24063 200.40973 571.24063 c 199.62907 571.24063 198.99241 571.87729 198.99241 572.65795 c 198.99241 573.43861 199.62907 574.07528 200.40973 574.07528 c @c B @rax %Note: Object 376.87351 571.24063 379.70816 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 574.07528 m 379.07150 574.07528 379.70816 573.43861 379.70816 572.65795 c 379.70816 571.87729 379.07150 571.24063 378.29083 571.24063 c 377.51017 571.24063 376.87351 571.87729 376.87351 572.65795 c 376.87351 573.43861 377.51017 574.07528 378.29083 574.07528 c @c B @rax %Note: Object 347.22652 571.24063 350.06117 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 574.07528 m 349.42450 574.07528 350.06117 573.43861 350.06117 572.65795 c 350.06117 571.87729 349.42450 571.24063 348.64384 571.24063 c 347.86318 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169.34542 630.55786 172.18006 633.39250 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 633.39250 m 171.54340 633.39250 172.18006 632.75584 172.18006 631.97518 c 172.18006 631.19452 171.54340 630.55786 170.76274 630.55786 c 169.98208 630.55786 169.34542 631.19452 169.34542 631.97518 c 169.34542 632.75584 169.98208 633.39250 170.76274 633.39250 c @c B @rax %Note: Object 139.69871 630.55786 142.53335 633.39250 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 633.39250 m 141.89669 633.39250 142.53335 632.75584 142.53335 631.97518 c 142.53335 631.19452 141.89669 630.55786 141.11603 630.55786 c 140.33537 630.55786 139.69871 631.19452 139.69871 631.97518 c 139.69871 632.75584 140.33537 633.39250 141.11603 633.39250 c @c B @rax %Note: Object 110.05172 630.55786 112.88636 633.39250 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 633.39250 m 112.24970 633.39250 112.88636 632.75584 112.88636 631.97518 c 112.88636 631.19452 112.24970 630.55786 111.46904 630.55786 c 110.68838 630.55786 110.05172 631.19452 110.05172 631.97518 c 110.05172 632.75584 110.68838 633.39250 111.46904 633.39250 c @c B @rax %Note: Object 406.52022 630.55786 409.35487 633.39250 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 633.39250 m 408.71820 633.39250 409.35487 632.75584 409.35487 631.97518 c 409.35487 631.19452 408.71820 630.55786 407.93754 630.55786 c 407.15688 630.55786 406.52022 631.19452 406.52022 631.97518 c 406.52022 632.75584 407.15688 633.39250 407.93754 633.39250 c @c B @rax %Note: Object 228.63912 630.55786 231.47376 633.39250 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 633.39250 m 230.83710 633.39250 231.47376 632.75584 231.47376 631.97518 c 231.47376 631.19452 230.83710 630.55786 230.05644 630.55786 c 229.27578 630.55786 228.63912 631.19452 228.63912 631.97518 c 228.63912 632.75584 229.27578 633.39250 230.05644 633.39250 c @c B @rax %Note: Object 198.99241 630.55786 201.82706 633.39250 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 633.39250 m 201.19039 633.39250 201.82706 632.75584 201.82706 631.97518 c 201.82706 631.19452 201.19039 630.55786 200.40973 630.55786 c 199.62907 630.55786 198.99241 631.19452 198.99241 631.97518 c 198.99241 632.75584 199.62907 633.39250 200.40973 633.39250 c @c B @rax %Note: Object 376.87351 630.55786 379.70816 633.39250 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 633.39250 m 379.07150 633.39250 379.70816 632.75584 379.70816 631.97518 c 379.70816 631.19452 379.07150 630.55786 378.29083 630.55786 c 377.51017 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662.41417 409.35487 661.63351 c 409.35487 660.85285 408.71820 660.21619 407.93754 660.21619 c 407.15688 660.21619 406.52022 660.85285 406.52022 661.63351 c 406.52022 662.41417 407.15688 663.05083 407.93754 663.05083 c @c B @rax %Note: Object 228.63912 660.21619 231.47376 663.05083 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 663.05083 m 230.83710 663.05083 231.47376 662.41417 231.47376 661.63351 c 231.47376 660.85285 230.83710 660.21619 230.05644 660.21619 c 229.27578 660.21619 228.63912 660.85285 228.63912 661.63351 c 228.63912 662.41417 229.27578 663.05083 230.05644 663.05083 c @c B @rax %Note: Object 198.99241 660.21619 201.82706 663.05083 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 663.05083 m 201.19039 663.05083 201.82706 662.41417 201.82706 661.63351 c 201.82706 660.85285 201.19039 660.21619 200.40973 660.21619 c 199.62907 660.21619 198.99241 660.85285 198.99241 661.63351 c 198.99241 662.41417 199.62907 663.05083 200.40973 663.05083 c @c B @rax %Note: Object 376.87351 660.21619 379.70816 663.05083 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 663.05083 m 379.07150 663.05083 379.70816 662.41417 379.70816 661.63351 c 379.70816 660.85285 379.07150 660.21619 378.29083 660.21619 c 377.51017 660.21619 376.87351 660.85285 376.87351 661.63351 c 376.87351 662.41417 377.51017 663.05083 378.29083 663.05083 c @c B @rax %Note: Object 347.22652 660.21619 350.06117 663.05083 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 663.05083 m 349.42450 663.05083 350.06117 662.41417 350.06117 661.63351 c 350.06117 660.85285 349.42450 660.21619 348.64384 660.21619 c 347.86318 660.21619 347.22652 660.85285 347.22652 661.63351 c 347.22652 662.41417 347.86318 663.05083 348.64384 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@E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 752.02668 m 230.83710 752.02668 231.47376 751.39002 231.47376 750.60935 c 231.47376 749.82869 230.83710 749.19203 230.05644 749.19203 c 229.27578 749.19203 228.63912 749.82869 228.63912 750.60935 c 228.63912 751.39002 229.27578 752.02668 230.05644 752.02668 c @c B @rax %Note: Object 198.99241 749.19203 201.82706 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 752.02668 m 201.19039 752.02668 201.82706 751.39002 201.82706 750.60935 c 201.82706 749.82869 201.19039 749.19203 200.40973 749.19203 c 199.62907 749.19203 198.99241 749.82869 198.99241 750.60935 c 198.99241 751.39002 199.62907 752.02668 200.40973 752.02668 c @c B @rax %Note: Object 376.87351 749.19203 379.70816 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 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749.82869 319.77780 749.19203 318.99713 749.19203 c 318.21647 749.19203 317.57981 749.82869 317.57981 750.60935 c 317.57981 751.39002 318.21647 752.02668 318.99713 752.02668 c @c B @rax %Note: Object 287.93282 749.19203 290.76746 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 289.35014 752.02668 m 290.13080 752.02668 290.76746 751.39002 290.76746 750.60935 c 290.76746 749.82869 290.13080 749.19203 289.35014 749.19203 c 288.56948 749.19203 287.93282 749.82869 287.93282 750.60935 c 287.93282 751.39002 288.56948 752.02668 289.35014 752.02668 c @c B @rax %Note: Object 258.28611 749.19203 261.12076 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 259.70343 752.02668 m 260.48409 752.02668 261.12076 751.39002 261.12076 750.60935 c 261.12076 749.82869 260.48409 749.19203 259.70343 749.19203 c 258.92277 749.19203 258.28611 749.82869 258.28611 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0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 722.36806 m 171.54340 722.36806 172.18006 721.73140 172.18006 720.95074 c 172.18006 720.17008 171.54340 719.53342 170.76274 719.53342 c 169.98208 719.53342 169.34542 720.17008 169.34542 720.95074 c 169.34542 721.73140 169.98208 722.36806 170.76274 722.36806 c @c B @rax %Note: Object 139.69871 719.53342 142.53335 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 722.36806 m 141.89669 722.36806 142.53335 721.73140 142.53335 720.95074 c 142.53335 720.17008 141.89669 719.53342 141.11603 719.53342 c 140.33537 719.53342 139.69871 720.17008 139.69871 720.95074 c 139.69871 721.73140 140.33537 722.36806 141.11603 722.36806 c @c B @rax %Note: Object 110.05172 719.53342 112.88636 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 722.36806 m 112.24970 722.36806 112.88636 721.73140 112.88636 720.95074 c 112.88636 720.17008 112.24970 719.53342 111.46904 719.53342 c 110.68838 719.53342 110.05172 720.17008 110.05172 720.95074 c 110.05172 721.73140 110.68838 722.36806 111.46904 722.36806 c @c B @rax %Note: Object 406.52022 719.53342 409.35487 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 722.36806 m 408.71820 722.36806 409.35487 721.73140 409.35487 720.95074 c 409.35487 720.17008 408.71820 719.53342 407.93754 719.53342 c 407.15688 719.53342 406.52022 720.17008 406.52022 720.95074 c 406.52022 721.73140 407.15688 722.36806 407.93754 722.36806 c @c B @rax %Note: Object 228.63912 719.53342 231.47376 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 722.36806 m 230.83710 722.36806 231.47376 721.73140 231.47376 720.95074 c 231.47376 720.17008 230.83710 719.53342 230.05644 719.53342 c 229.27578 719.53342 228.63912 720.17008 228.63912 720.95074 c 228.63912 721.73140 229.27578 722.36806 230.05644 722.36806 c @c B @rax %Note: Object 198.99241 719.53342 201.82706 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 722.36806 m 201.19039 722.36806 201.82706 721.73140 201.82706 720.95074 c 201.82706 720.17008 201.19039 719.53342 200.40973 719.53342 c 199.62907 719.53342 198.99241 720.17008 198.99241 720.95074 c 198.99241 721.73140 199.62907 722.36806 200.40973 722.36806 c @c B @rax %Note: Object 376.87351 719.53342 379.70816 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 722.36806 m 379.07150 722.36806 379.70816 721.73140 379.70816 720.95074 c 379.70816 720.17008 379.07150 719.53342 378.29083 719.53342 c 377.51017 719.53342 376.87351 720.17008 376.87351 720.95074 c 376.87351 721.73140 377.51017 722.36806 378.29083 722.36806 c @c B @rax %Note: Object 347.22652 719.53342 350.06117 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 722.36806 m 349.42450 722.36806 350.06117 721.73140 350.06117 720.95074 c 350.06117 720.17008 349.42450 719.53342 348.64384 719.53342 c 347.86318 719.53342 347.22652 720.17008 347.22652 720.95074 c 347.22652 721.73140 347.86318 722.36806 348.64384 722.36806 c @c B @rax %Note: Object 317.57981 719.53342 320.41446 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 318.99713 722.36806 m 319.77780 722.36806 320.41446 721.73140 320.41446 720.95074 c 320.41446 720.17008 319.77780 719.53342 318.99713 719.53342 c 318.21647 719.53342 317.57981 720.17008 317.57981 720.95074 c 317.57981 721.73140 318.21647 722.36806 318.99713 722.36806 c @c B @rax %Note: Object 287.93282 719.53342 290.76746 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 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y(region)j(near)h Fn(p)g Fp(=)f(1.)63 b(T)-8 b(o)38 b(do)g(so,)i(w)m(e) e(will)e(initially)e(sho)m(w)k(that)g(the)g(function)e Fn(\022)3028 2847 y Fl(c)3025 2907 y Fg(\003)3078 2880 y Fp(\()p Fn(p)p Fp(\))i(can)g(b)s(e)f(represen)m(ted,)118 2997 y(near)i Fn(p)h Fp(=)g(1,)i(as)d(a)h(ratio)f(in)m(v)m(olving)f(a)h (suitable)f(partition)g(function.)66 b(Giv)m(en)39 b(a)h (con\014guration)e Fn(!)3678 3011 y Fg(\003)3771 2997 y Fm(2)i Fp(\012)3938 3011 y Fg(\003)3990 2997 y Fp(,)118 3113 y(w)m(e)f(asso)s(ciate)g(to)h(eac)m(h)f(closed)f(b)s(ond)f Fn(b)i Fm(2)f Fn(F)1731 3127 y Fl(!)1775 3138 y Fe(L)1865 3113 y Fp(a)g(\()p Fn(d)27 b Fm(\000)e Fp(1\)-dimensional)37 b(unit)g(h)m(yp)s(ersquare)g Fn(\033)k Fp(whic)m(h)d(cuts)118 3229 y(p)s(erp)s(endicularly)31 b(the)36 b(closed)g(b)s(ond)e(in)h(the) h(middle)e(p)s(oin)m(t.)56 b(The)35 b(v)m(ertices)i(of)f(the)g(h)m(yp)s (ersquare)f(la)m(y)h(in)e(the)118 3345 y(so)40 b(called)f(dual)g (lattice)h(\003)1068 3312 y Fk(\003)1107 3345 y Fp(.)69 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Fp(the)g(set)h(of)f(dual)f(animals)g(in)f(\003)2028 3778 y Fk(\003)2068 3811 y Fp(,)k(while)c(\000)i(will)e(denote)i(the)h (set)f(of)h(dual)d(animals)h(in)118 3927 y Fi(Z)183 3894 y Fl(d)219 3874 y Fk(\003)259 3927 y Fp(.)h(A)26 b(con\014guration)f Fn(!)1020 3941 y Fg(\003)1098 3927 y Fp(determines)g(uniquely)e(a)j (con\014guration)f(of)h(\(pairwise\))f(compatible)g(dual)f(animals)118 4044 y Fm(f)p Fn(\015)210 4058 y Fg(1)250 4044 y Fn(;)15 b(:)g(:)g(:)i(;)e(\015)499 4058 y Fl(n)546 4044 y Fm(g)46 b(\032)e Fp(\000)809 4058 y Fg(\003)904 4044 y Fp(on)e(the)h(dual)e (lattice.)76 b(W)-8 b(e)44 b(will)39 b(sometimes)k(regard)f(a)g(dual)f (animal)g(as)h(a)h(\()p Fn(d)29 b Fm(\000)f Fp(1\)-)118 4160 y(dimensional)33 b(surface)i(in)f Fi(R)1105 4127 y Fl(d)1152 4160 y Fp(.)55 b(The)35 b Fj(interior)h Fp(of)g(a)g(dual)d (animal)h(is)h(the)g(union)f(of)h(the)h(b)s(ounded)d(connected)118 4276 y(comp)s(onen)m(ts)27 b(of)h Fi(R)776 4243 y Fl(d)836 4276 y Fm(\000)14 b Fn(\015)32 b Fp(and)26 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4831 y Fk(j)p Fl(\015)2505 4840 y Ff(1)2539 4831 y Fk(j)2578 4869 y Fn(:)15 b(:)g(:)h(\025)2752 4831 y Fk(j)p Fl(\015)2808 4839 y Fe(n)2851 4831 y Fk(j)2875 4869 y Fn(;)929 b Fp(\(3)p Fn(:)p Fp(1\))118 5255 y(where)35 b(the)g(factor)h(1)f(corresp)s(onds)e(to)j(the)f(con\014guration)f Fn(!)2284 5269 y Fg(\003)2372 5255 y Fp(where)g(all)g(b)s(onds)f(are)j (op)s(en)e(\(hence)h(no)g(dual)1985 5517 y(4)p eop %%Page: 5 5 5 4 bop 118 44 a Fp(animals)35 b(are)h(presen)m(t\).)59 b(The)36 b(r.h.s.)57 b(of)37 b(\(3.1\))h(is)d(the)h(standard)g(grand)f (canonical)h(partition)f(function)g(of)h(a)118 160 y(hard)29 b(core)j(gas)f(of)f(compatible)g(dual)f(animals)g Fn(\015)35 b Fp(with)29 b(activities)h Fn(\025)2513 127 y Fk(j)p Fl(\015)t Fk(j)2627 160 y Fp(\(see)h(e.g.)42 b([2)q(],)31 b([4]\))118 277 y(The)25 b(function)g Fn(\022)698 244 y Fl(c)695 304 y Fg(\003)748 277 y Fp(\()p Fn(p)p Fp(\))h(can)g(also)g (b)s(e)f(expressed)g(in)g(terms)g(of)h(dual)f(animals.)38 b(In)25 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wCorel6Dict 6.0 0 % Copyright (c)1992-96 Corel Corporation % All rights reserved. v6.0 r1.1 /wCorel6Dict 300 dict def wCorel6Dict begin/bd{bind def}bind def/ld{load def} bd/xd{exch def}bd/_ null def/rp{{pop}repeat}bd/@cp/closepath ld/@gs/gsave ld /@gr/grestore ld/@np/newpath ld/Tl/translate ld/$sv 0 def/@sv{/$sv save def}bd /@rs{$sv restore}bd/spg/showpage ld/showpage{}bd currentscreen/@dsp xd/$dsp /@dsp def/$dsa xd/$dsf xd/$sdf false def/$SDF false def/$Scra 0 def/SetScr /setscreen ld/setscreen{pop pop pop}bd/@ss{2 index 0 eq{$dsf 3 1 roll 4 -1 roll pop}if exch $Scra add exch load SetScr}bd/SepMode_5 where{pop}{/SepMode_5 0 def}ifelse/CurrentInkName_5 where{pop}{/CurrentInkName_5(Composite)def}ifelse /$ink_5 where{pop}{/$ink_5 -1 def}ifelse/$c 0 def/$m 0 def/$y 0 def/$k 0 def /$t 1 def/$n _ def/$o 0 def/$fil 0 def/$C 0 def/$M 0 def/$Y 0 def/$K 0 def/$T 1 def/$N _ def/$O 0 def/$PF false def/s1c 0 def/s1m 0 def/s1y 0 def/s1k 0 def /s1t 0 def/s1n _ def/$bkg false def/SK 0 def/SM 0 def/SY 0 def/SC 0 def/$op false def matrix currentmatrix/$ctm xd/$ptm matrix def/$ttm matrix def/$stm matrix def/$fst 128 def/$pad 0 def/$rox 0 def/$roy 0 def/$fmp 50 def/$ffpnt true def/CorelDrawReencodeVect[16#0/grave 16#5/breve 16#6/dotaccent 16#8/ring 16#A/hungarumlaut 16#B/ogonek 16#C/caron 16#D/dotlessi 16#27/quotesingle 16#60/grave 16#7C/bar 16#82/quotesinglbase/florin/quotedblbase/ellipsis/dagger/daggerdbl 16#88/circumflex/perthousand/Scaron/guilsinglleft/OE 16#91/quoteleft/quoteright/quotedblleft/quotedblright/bullet/endash/emdash 16#98/tilde/trademark/scaron/guilsinglright/oe 16#9F/Ydieresis 16#A1/exclamdown/cent/sterling/currency/yen/brokenbar/section 16#a8/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/minus/registered/macron 16#b0/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph/periodcentered 16#b8/cedilla/onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequarters/questiondown 16#c0/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla 16#c8/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis 16#d0/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply 16#d8/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls 16#e0/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla 16#e8/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis 16#f0/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide 16#f8/oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def /L2?/languagelevel where{pop languagelevel 2 ge}{false}ifelse def /@BeginSysCorelDict{systemdict/Corel30Dict known{systemdict/Corel30Dict get exec}if}bd/@EndSysCorelDict{systemdict/Corel30Dict known{end}if}bd AutoFlatness {/@ifl{dup currentflat exch sub 10 gt{ ([Error: PathTooComplex; OffendingCommand: AnyPaintingOperator]\n)print flush @np exit}{currentflat 2 add setflat}ifelse}bd/@fill/fill ld/fill{currentflat{ {@fill}stopped{@ifl}{exit}ifelse}bind loop setflat}bd/@eofill/eofill ld/eofill {currentflat{{@eofill}stopped{@ifl}{exit}ifelse}bind loop setflat}bd/@clip /clip ld/clip{currentflat{{@clip}stopped{@ifl}{exit}ifelse}bind loop setflat} bd/@eoclip/eoclip ld/eoclip{currentflat{{@eoclip}stopped{@ifl}{exit}ifelse} bind loop setflat}bd/@stroke/stroke ld/stroke{currentflat{{@stroke}stopped {@ifl}{exit}ifelse}bind loop setflat}bd}if L2?{/@ssa{true setstrokeadjust}bd}{ /@ssa{}bd}ifelse/d/setdash ld/j/setlinejoin ld/J/setlinecap ld/M/setmiterlimit ld/w/setlinewidth ld/O{/$o xd}bd/R{/$O xd}bd/W/eoclip ld/c/curveto ld/C/c ld/l /lineto ld/L/l ld/rl/rlineto ld/m/moveto ld/n/newpath ld/N/newpath ld/P{11 rp} bd/u{}bd/U{}bd/A{pop}bd/q/@gs ld/Q/@gr ld/&{}bd/@j{@sv @np}bd/@J{@rs}bd/g{1 exch sub/$k xd/$c 0 def/$m 0 def/$y 0 def/$t 1 def/$n _ def/$fil 0 def}bd/G{1 sub neg/$K xd _ 1 0 0 0/$C xd/$M xd/$Y xd/$T xd/$N xd}bd/k{1 index type /stringtype eq{/$t xd/$n xd}{/$t 0 def/$n _ def}ifelse/$k xd/$y xd/$m xd/$c xd /$fil 0 def}bd/K{1 index type/stringtype eq{/$T xd/$N xd}{/$T 0 def/$N _ def} ifelse/$K xd/$Y xd/$M xd/$C xd}bd/x/k ld/X/K ld/sf{1 index type/stringtype eq{ /s1t xd/s1n xd}{/s1t 0 def/s1n _ def}ifelse/s1k xd/s1y xd/s1m xd/s1c xd}bd/i{ dup 0 ne{setflat}{pop}ifelse}bd/v{4 -2 roll 2 copy 6 -2 roll c}bd/V/v ld/y{2 copy c}bd/Y/y ld/@w{matrix rotate/$ptm xd matrix scale $ptm dup concatmatrix /$ptm xd 1 eq{$ptm exch dup concatmatrix/$ptm xd}if 1 w}bd/@g{1 eq dup/$sdf xd {/$scp xd/$sca xd/$scf xd}if}bd/@G{1 eq dup/$SDF xd{/$SCP xd/$SCA xd/$SCF xd} if}bd/@D{2 index 0 eq{$dsf 3 1 roll 4 -1 roll pop}if 3 copy exch $Scra add exch load SetScr/$dsp xd/$dsa xd/$dsf xd}bd/$ngx{$SDF{$SCF SepMode_5 0 eq{$SCA} {$dsa}ifelse $SCP @ss}if}bd/p{/$pm xd 7 rp/$pyf xd/$pxf xd/$pn xd/$fil 1 def} bd/@MN{2 copy le{pop}{exch pop}ifelse}bd/@MX{2 copy ge{pop}{exch pop}ifelse}bd /InRange{3 -1 roll @MN @MX}bd/wDstChck{2 1 roll dup 3 -1 roll eq{1 add}if}bd /@dot{dup mul exch dup mul add 1 exch sub}bd/@lin{exch pop abs 1 exch sub}bd /cmyk2rgb{3{dup 5 -1 roll add 1 exch sub dup 0 lt{pop 0}if exch}repeat pop}bd /rgb2cmyk{3{1 exch sub 3 1 roll}repeat 3 copy @MN @MN 3{dup 5 -1 roll sub neg exch}repeat}bd/rgb2g{2 index .299 mul 2 index .587 mul add 1 index .114 mul add 4 1 roll pop pop pop}bd/WaldoColor_5 where{pop}{/SetRgb/setrgbcolor ld/GetRgb /currentrgbcolor ld/SetGry/setgray ld/GetGry/currentgray ld/SetRgb2 systemdict /setrgbcolor get def/GetRgb2 systemdict/currentrgbcolor get def/SetHsb systemdict/sethsbcolor get def/GetHsb systemdict/currenthsbcolor get def /rgb2hsb{SetRgb2 GetHsb}bd/hsb2rgb{3 -1 roll dup floor sub 3 1 roll SetHsb GetRgb2}bd/setcmykcolor where{pop/SetCmyk_5/setcmykcolor ld}{/SetCmyk_5{ cmyk2rgb SetRgb}bd}ifelse/currentcmykcolor where{pop/GetCmyk/currentcmykcolor ld}{/GetCmyk{GetRgb rgb2cmyk}bd}ifelse/setoverprint where{pop}{/setoverprint{ /$op xd}bd}ifelse/currentoverprint where{pop}{/currentoverprint{$op}bd}ifelse /@tc_5{5 -1 roll dup 1 ge{pop}{4{dup 6 -1 roll mul exch}repeat pop}ifelse}bd /@trp{exch pop 5 1 roll @tc_5}bd/setprocesscolor_5{SepMode_5 0 eq{SetCmyk_5}{0 4 $ink_5 sub index exch pop 5 1 roll pop pop pop pop SepsColor true eq{$ink_5 3 gt{1 sub neg SetGry}{0 0 0 4 $ink_5 roll SetCmyk_5}ifelse}{1 sub neg SetGry} ifelse}ifelse}bd/findcmykcustomcolor where{pop}{/findcmykcustomcolor{5 array astore}bd}ifelse/setcustomcolor where{pop}{/setcustomcolor{exch aload pop SepMode_5 0 eq{pop @tc_5 setprocesscolor_5}{CurrentInkName_5 eq{4 index}{0} ifelse 6 1 roll 5 rp 1 sub neg SetGry}ifelse}bd}ifelse/@scc_5{dup type /booleantype eq{setoverprint}{1 eq setoverprint}ifelse dup _ eq{pop setprocesscolor_5 pop}{findcmykcustomcolor exch setcustomcolor}ifelse SepMode_5 0 eq{true}{GetGry 1 eq currentoverprint and not}ifelse}bd/colorimage where{pop /ColorImage{colorimage}def}{/ColorImage{/ncolors xd pop/dataaq xd{dataaq ncolors dup 3 eq{/$dat xd 0 1 $dat length 3 div 1 sub{dup 3 mul $dat 1 index get 255 div $dat 2 index 1 add get 255 div $dat 3 index 2 add get 255 div rgb2g 255 mul cvi exch pop $dat 3 1 roll put}for $dat 0 $dat length 3 idiv getinterval pop}{4 eq{/$dat xd 0 1 $dat length 4 div 1 sub{dup 4 mul $dat 1 index get 255 div $dat 2 index 1 add get 255 div $dat 3 index 2 add get 255 div $dat 4 index 3 add get 255 div cmyk2rgb rgb2g 255 mul cvi exch pop $dat 3 1 roll put}for $dat 0 $dat length ncolors idiv getinterval}if}ifelse}image}bd }ifelse/setcmykcolor{1 5 1 roll _ currentoverprint @scc_5/$ffpnt xd}bd /currentcmykcolor{0 0 0 0}bd/setrgbcolor{rgb2cmyk setcmykcolor}bd /currentrgbcolor{currentcmykcolor cmyk2rgb}bd/sethsbcolor{hsb2rgb setrgbcolor} bd/currenthsbcolor{currentrgbcolor rgb2hsb}bd/setgray{dup dup setrgbcolor}bd /currentgray{currentrgbcolor rgb2g}bd}ifelse/WaldoColor_5 true def/@sft{$tllx $pxf add dup $tllx gt{$pwid sub}if/$tx xd $tury $pyf sub dup $tury lt{$phei add}if/$ty xd}bd/@stb{pathbbox/$ury xd/$urx xd/$lly xd/$llx xd}bd/@ep{{cvx exec }forall}bd/@tp{@sv/$in true def 2 copy dup $lly le{/$in false def}if $phei sub $ury ge{/$in false def}if dup $urx ge{/$in false def}if $pwid add $llx le{/$in false def}if $in{@np 2 copy m $pwid 0 rl 0 $phei neg rl $pwid neg 0 rl 0 $phei rl clip @np $pn cvlit load aload pop 7 -1 roll 5 index sub 7 -1 roll 3 index sub Tl matrix currentmatrix/$ctm xd @ep pop pop pop pop}{pop pop}ifelse @rs}bd /@th{@sft 0 1 $tly 1 sub{dup $psx mul $tx add{dup $llx gt{$pwid sub}{exit} ifelse}loop exch $phei mul $ty exch sub 0 1 $tlx 1 sub{$pwid mul 3 copy 3 -1 roll add exch @tp pop}for pop pop}for}bd/@tv{@sft 0 1 $tlx 1 sub{dup $pwid mul $tx add exch $psy mul $ty exch sub{dup $ury lt{$phei add}{exit}ifelse}loop 0 1 $tly 1 sub{$phei mul 3 copy sub @tp pop}for pop pop}for}bd/@pf{@gs $ctm setmatrix $pm concat @stb eoclip Bburx Bbury $pm itransform/$tury xd/$turx xd Bbllx Bblly $pm itransform/$tlly xd/$tllx xd/$wid $turx $tllx sub def/$hei $tury $tlly sub def @gs $vectpat{1 0 0 0 0 _ $o @scc_5{eofill}if}{$t $c $m $y $k $n $o @scc_5{SepMode_5 0 eq $pfrg or{$tllx $tlly Tl $wid $hei scale <00> 8 1 false[8 0 0 1 0 0]{}imagemask}{/$bkg true def}ifelse}if}ifelse @gr $wid 0 gt $hei 0 gt and{$pn cvlit load aload pop/$pd xd 3 -1 roll sub/$phei xd exch sub /$pwid xd $wid $pwid div ceiling 1 add/$tlx xd $hei $phei div ceiling 1 add /$tly xd $psx 0 eq{@tv}{@th}ifelse}if @gr @np/$bkg false def}bd/@dlt_hsb{$fco nff ge{/$fco nff 1 sub def}if sub neg 2 div dup $fco div/kdb xd nff $fco sub div/kdb2 xd sub neg 2 div dup $fco div/kds xd nff $fco sub div/kds2 xd sub neg dup 0 eq{pop $frb 2 eq{.99}{-.99}ifelse}if dup $frb 2 eq exch 0 lt and{1 add} if dup $frb 1 eq exch 0 gt and{1 sub}if 2 div dup $fco div/kdh xd nff $fco sub div/kdh2 xd}bd/@dlt_cmyk{$fmp 50 eq{sub neg nff dup 1 gt{1 sub}if div/$dk xd sub neg nff dup 1 gt{1 sub}if div/$dy xd sub neg nff dup 1 gt{1 sub}if div/$dm xd sub neg nff dup 1 gt{1 sub}if div/$dc xd sub neg nff dup 1 gt{1 sub}if div /$dt xd}{$fco nff ge{/$fco nff 1 sub def}if sub neg 2 div dup $fco div/$dk xd nff $fco sub div/$dk2 xd sub neg 2 div dup $fco div/$dy xd nff $fco sub div /$dy2 xd sub neg 2 div dup $fco div/$dm xd nff $fco sub div/$dm2 xd sub neg 2 div dup $fco div/$dc xd nff $fco sub div/$dc2 xd sub neg 2 div dup $fco div /$dt xd nff $fco sub div/$dt2 xd}ifelse}bd/@dlt{$fse $fss sub dup/nff xd $fmp mul $fmp add 100 div round cvi dup 0 le{pop 1}if/$fco xd/$fi 0 def $frb dup 1 eq exch 2 eq or{$frt dup $frc $frm $fry $frk @tc_5 4 copy cmyk2rgb rgb2hsb 3 copy/myb xd/mys xd/myh xd $tot $toc $tom $toy $tok @tc_5 cmyk2rgb rgb2hsb 3 1 roll 4 1 roll 5 1 roll @dlt_hsb}{$frt dup $frc $frm $fry $frk @tc_5 5 copy $tot dup $toc $tom $toy $tok @tc_5 5 1 roll 6 1 roll 7 1 roll 8 1 roll 9 1 roll @dlt_cmyk}ifelse}bd/@ffnxt{/$fi $fi 1 add def $frb dup 1 eq exch 2 eq or{pop pop pop pop myh mys myb $fi $fco lt{kdb add 3 1 roll kds add 3 1 roll kdh add 3 1 roll}{kdb2 add 3 1 roll kds2 add 3 1 roll kdh2 add 3 1 roll}ifelse 3 copy /myb xd/mys xd/myh xd hsb2rgb rgb2cmyk}{$fi $fco lt $fmp 50 eq or{$dk add 5 1 roll $dy add 5 1 roll $dm add 5 1 roll $dc add 5 1 roll $dt add 5 1 roll}{$dk2 add 5 1 roll $dy2 add 5 1 roll $dm2 add 5 1 roll $dc2 add 5 1 roll $dt2 add 5 1 roll}ifelse}ifelse}bd/ffcol{5 copy $fsit 0 eq{setcmykcolor pop}{SepMode_5 0 ne {$frn findcmykcustomcolor exch setcustomcolor}{pop pop pop pop $frc $frm $fry $frk $frn findcmykcustomcolor exch setcustomcolor}ifelse}ifelse}bd/@ftl{1 index 4 index sub dup $pad mul dup/$pdw xd 2 mul sub $fst div/$wid xd 2 index sub /$hei xd pop Tl @dlt $fss 0 eq{ffcol n 0 0 m 0 $hei l $pdw $hei l $pdw 0 l @cp $ffpnt{fill}{@np}ifelse}if $fss $wid mul $pdw add 0 Tl nff{ffcol n 0 0 m 0 $hei l $wid $hei l $wid 0 l @cp $ffpnt{fill}{@np}ifelse $wid 0 Tl @ffnxt}repeat 5 rp $tot dup $toc $tom $toy $tok @tc_5 ffcol n 0 0 m 0 $hei l $pdw $hei l $pdw 0 l @cp $ffpnt{fill}{@np}ifelse 5 rp}bd/@ftrs{1 index 4 index sub dup $rox mul /$row xd 2 div 1 index 4 index sub dup $roy mul/$roh xd 2 div 2 copy dup mul exch dup mul add sqrt $row dup mul $roh dup mul add sqrt add dup/$hei xd $fst div/$wid xd 4 index add $roh add exch 5 index add $row add exch Tl $fan rotate pop pop pop pop @dlt $fss 0 eq{ffcol $fty 3 eq{$hei dup neg dup m 2 mul @sqr}{ 0 0 m 0 0 $hei 0 360 arc}ifelse $ffpnt{fill}{@np}ifelse}if 1.0 $pad 2 mul sub dup scale $hei $fss $wid mul sub/$hei xd nff{ffcol $fty 3 eq{n $hei dup neg dup m 2 mul @sqr}{n 0 0 m 0 0 $hei 0 360 arc}ifelse $ffpnt{fill}{@np}ifelse/$hei $hei $wid sub def @ffnxt}repeat 5 rp}bd/@ftc{1 index 4 index sub dup $rox mul /$row xd 2 div 1 index 4 index sub dup $roy mul/$roh xd 2 div 2 copy dup mul exch dup mul add sqrt $row dup mul $roh dup mul add sqrt add dup/$hei xd $fst div/$wid xd 4 index add $roh add exch 5 index add $row add exch Tl pop pop pop pop @dlt $fss 0 eq{ffcol $ffpnt{fill}{@np}ifelse}{n}ifelse/$dang 180 $fst 1 sub div def/$sang $dang -2 div 180 add def/$eang $dang 2 div 180 add def/$sang $sang $dang $fss mul add def/$eang $eang $dang $fss mul add def/$sang $eang $dang sub def nff{ffcol n 0 0 m 0 0 $hei $sang $fan add $eang $fan add arc $ffpnt{fill}{@np}ifelse 0 0 m 0 0 $hei $eang neg $fan add $sang neg $fan add arc $ffpnt{fill}{@np}ifelse/$sang $eang def/$eang $eang $dang add def @ffnxt} repeat 5 rp}bd/@fstAdjust{72 0 matrix defaultmatrix dtransform exch dup mul exch dup mul add sqrt currentscreen pop pop div dup mul 1 add cvi 2 256 InRange $fsc 1 sub dup 0 le{pop 1}if mul/opt$fst xd AutoSteps dup 1 eq exch 3 eq or{ opt$fst dup dup $fst dup 3 1 roll div exch 3 -1 roll gt{/$adj xd/$fst xd}{pop pop}ifelse}if AutoSteps dup 2 eq exch 3 eq or{opt$fst dup dup $fst dup 3 1 roll div exch 3 -1 roll lt{/$adj xd/$fst xd}{pop pop}ifelse}if}bd/@ff{/old$fst $fst def/$adj 1 def/$fss 0 def $o 1 eq setoverprint AutoSteps 0 gt{@fstAdjust}if 1 1 $fsc 1 sub{dup 1 sub $fsit 0 eq{$fsa exch 5 mul 5 getinterval aload pop pop /$frk xd/$fry xd/$frm xd/$frc xd/$frn _ def/$frt 1 def $fsa exch 5 mul 5 getinterval aload pop $adj mul cvi $fss add/$fse xd/$tok xd/$toy xd/$tom xd /$toc xd/$ton _ def/$tot 1 def}{$fsa exch 7 mul 7 getinterval aload pop pop /$frt xd/$frn xd/$frk xd/$fry xd/$frm xd/$frc xd $fsa exch 7 mul 7 getinterval aload pop $adj mul cvi $fss add/$fse xd/$tot xd/$ton xd/$tok xd/$toy xd/$tom xd /$toc xd}ifelse $fsit 0 eq SepMode_5 0 eq or dup not CurrentInkName_5 $frn eq and or{@sv $ctm setmatrix eoclip Bbllx Bblly Bburx Bbury $fty 2 eq{@ftc}{1 index 3 index m 2 copy l 3 index 1 index l 3 index 3 index l @cp $fty dup 1 eq exch 3 eq or{@ftrs}{pop pop pop pop $fan rotate pathbbox @ftl}ifelse}ifelse @rs /$fss $fse def}{1 0 0 0 0 _ $o @scc_5{fill}if}ifelse}for @np/$fst old$fst def} bd/@Pf{@sv SepMode_5 0 eq $Psc 0 ne or $ink_5 3 eq or{0 J 0 j[]0 d $t $c $m $y $k $n $o @scc_5 pop $ctm setmatrix 72 1000 div dup matrix scale dup concat dup Bburx exch Bbury exch itransform ceiling cvi/Bbury xd ceiling cvi/Bburx xd Bbllx exch Bblly exch itransform floor cvi/Bblly xd floor cvi/Bbllx xd $Prm aload pop $Psn load exec}{1 SetGry eofill}ifelse @rs @np}bd/F{matrix currentmatrix $sdf{$scf $sca $scp @ss}if $fil 1 eq{@pf}{$fil 2 eq{@ff}{$fil 3 eq{@Pf}{$t $c $m $y $k $n $o @scc_5{eofill}{@np}ifelse}ifelse}ifelse}ifelse $sdf{$dsf $dsa $dsp @ss}if setmatrix}bd/f{@cp F}bd/S{matrix currentmatrix $ctm setmatrix $SDF{$SCF $SCA $SCP @ss}if $T $C $M $Y $K $N $O @scc_5{matrix currentmatrix $ptm concat stroke setmatrix}{@np}ifelse $SDF{$dsf $dsa $dsp @ss}if setmatrix}bd/s{@cp S}bd/B{@gs F @gr S}bd/b{@cp B}bd/_E{5 array astore exch cvlit xd}bd/@cc{currentfile $dat readhexstring pop}bd/@sm{/$ctm $ctm currentmatrix def}bd/@E{/Bbury xd/Bburx xd/Bblly xd/Bbllx xd}bd/@c{@cp}bd/@p{ /$fil 1 def 1 eq dup/$vectpat xd{/$pfrg true def}{@gs $t $c $m $y $k $n $o @scc_5/$pfrg xd @gr}ifelse/$pm xd/$psy xd/$psx xd/$pyf xd/$pxf xd/$pn xd}bd/@P {/$fil 3 def/$Psn xd/$Psc xd array astore/$Prm xd}bd/@k{/$fil 2 def/$fmp xd /$roy xd/$rox xd/$pad xd/$fty xd/$fan xd $fty 1 eq{/$fan 0 def}if/$frb xd/$fst xd/$fsc xd/$fsa xd/$fsit 0 def}bd/@x{/$fil 2 def/$fmp xd/$roy xd/$rox xd/$pad xd/$fty xd/$fan xd $fty 1 eq{/$fan 0 def}if/$frb xd/$fst xd/$fsc xd/$fsa xd /$fsit 1 def}bd/@ii{concat 3 index 3 index m 3 index 1 index l 2 copy l 1 index 3 index l 3 index 3 index l clip pop pop pop pop}bd/tcc{@cc}def/@i{@sm @gs @ii 6 index 1 ne{/$frg true def pop pop}{1 eq{s1t s1c s1m s1y s1k s1n $O @scc_5 /$frg xd}{/$frg false def}ifelse 1 eq{@gs $ctm setmatrix F @gr}if}ifelse @np /$ury xd/$urx xd/$lly xd/$llx xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul 8 div ceiling cvi string def $bkg $frg or{$SDF{$SCF $SCA $SCP @ss}if $llx $lly Tl $urx $llx sub $ury $lly sub scale $bkg{$t $c $m $y $k $n $o @scc_5 pop}if $wid $hei abs $bts 1 eq{$bkg}{$bts}ifelse[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]/tcc load $bts 1 eq{imagemask}{image}ifelse $SDF{$dsf $dsa $dsp @ss}if}{$hei abs{tcc pop}repeat}ifelse @gr $ctm setmatrix}bd/@I{@sm @gs @ii @np/$ury xd/$urx xd/$lly xd/$llx xd/$ncl xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul $ncl mul 8 div ceiling cvi string def $ngx $llx $lly Tl $urx $llx sub $ury $lly sub scale $wid $hei abs $bts[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]/@cc load false $ncl ColorImage $SDF{$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd L2?{/@I_2{@sm @gs @ii @np/$ury xd/$urx xd/$lly xd/$llx xd /$ncl xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul $ncl mul 8 div ceiling cvi string def $ngx $ncl 1 eq{/DeviceGray}{$ncl 3 eq{/DeviceRGB}{/DeviceCMYK} ifelse}ifelse setcolorspace $llx $lly Tl $urx $llx sub $ury $lly sub scale 8 dict begin/ImageType 1 def/Width $wid def/Height $hei abs def/BitsPerComponent $bts def/Decode $ncl 1 eq{[0 1]}{$ncl 3 eq{[0 1 0 1 0 1]}{[0 1 0 1 0 1 0 1]} ifelse}ifelse def/ImageMatrix[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]def /DataSource currentfile/ASCII85Decode filter def currentdict end image $SDF {$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd}{/@I_2{}bd}ifelse/z{exch findfont exch scalefont setfont}bd/ZB{9 dict dup begin 4 1 roll/FontType 3 def /FontMatrix xd/FontBBox xd/Encoding 256 array def 0 1 255{Encoding exch /.notdef put}for/CharStrings 256 dict def CharStrings/.notdef{}put/Metrics 256 dict def Metrics/.notdef 3 -1 roll put/BuildChar{exch dup/$char exch/Encoding get 3 index get def dup/Metrics get $char get aload pop setcachedevice begin Encoding exch get CharStrings exch get end exec}def end definefont pop}bd /ZBAddChar{findfont begin dup 4 1 roll dup 6 1 roll Encoding 3 1 roll put CharStrings 3 1 roll put Metrics 3 1 roll put end}bd/Z{findfont dup maxlength 2 add dict exch dup{1 index/FID ne{3 index 3 1 roll put}{pop pop}ifelse}forall pop dup dup/Encoding get 256 array copy dup/$fe xd/Encoding exch put dup /Fontname 3 index put 3 -1 roll dup length 0 ne{0 exch{dup type 0 type eq{exch pop}{$fe exch 2 index exch put 1 add}ifelse}forall pop}if dup 256 dict dup /$met xd/Metrics exch put dup/FontMatrix get 0 get 1000 mul 1 exch div 3 index length 256 eq{0 1 255{dup $fe exch get dup/.notdef eq{pop pop}{5 index 3 -1 roll get 2 index mul $met 3 1 roll put}ifelse}for}if pop definefont pop pop}bd /@ftx{{currentpoint 3 -1 roll(0)dup 3 -1 roll 0 exch put dup @gs true charpath $ctm setmatrix @@txt @gr @np 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@E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 526.52523 366.46526 m 527.30589 366.46526 527.94255 365.82860 527.94255 365.04794 c 527.94255 364.26728 527.30589 363.63061 526.52523 363.63061 c 525.74457 363.63061 525.10791 364.26728 525.10791 365.04794 c 525.10791 365.82860 525.74457 366.46526 526.52523 366.46526 c @c B @rax %Note: Object 495.46091 363.63061 498.29556 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 496.87824 366.46526 m 497.65890 366.46526 498.29556 365.82860 498.29556 365.04794 c 498.29556 364.26728 497.65890 363.63061 496.87824 363.63061 c 496.09757 363.63061 495.46091 364.26728 495.46091 365.04794 c 495.46091 365.82860 496.09757 366.46526 496.87824 366.46526 c @c B @rax %Note: Object 465.81392 363.63061 468.64857 366.46526 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 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393.92589 141.89669 393.28923 141.11603 393.28923 c 140.33537 393.28923 139.69871 393.92589 139.69871 394.70655 c 139.69871 395.48721 140.33537 396.12387 141.11603 396.12387 c @c B @rax %Note: Object 110.05172 393.28923 112.88636 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 396.12387 m 112.24970 396.12387 112.88636 395.48721 112.88636 394.70655 c 112.88636 393.92589 112.24970 393.28923 111.46904 393.28923 c 110.68838 393.28923 110.05172 393.92589 110.05172 394.70655 c 110.05172 395.48721 110.68838 396.12387 111.46904 396.12387 c @c B @rax %Note: Object 406.52022 393.28923 409.35487 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 396.12387 m 408.71820 396.12387 409.35487 395.48721 409.35487 394.70655 c 409.35487 393.92589 408.71820 393.28923 407.93754 393.28923 c 407.15688 393.28923 406.52022 393.92589 406.52022 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376.87351 393.28923 379.70816 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 396.12387 m 379.07150 396.12387 379.70816 395.48721 379.70816 394.70655 c 379.70816 393.92589 379.07150 393.28923 378.29083 393.28923 c 377.51017 393.28923 376.87351 393.92589 376.87351 394.70655 c 376.87351 395.48721 377.51017 396.12387 378.29083 396.12387 c @c B @rax %Note: Object 347.22652 393.28923 350.06117 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 396.12387 m 349.42450 396.12387 350.06117 395.48721 350.06117 394.70655 c 350.06117 393.92589 349.42450 393.28923 348.64384 393.28923 c 347.86318 393.28923 347.22652 393.92589 347.22652 394.70655 c 347.22652 395.48721 347.86318 396.12387 348.64384 396.12387 c @c B @rax %Note: Object 317.57981 393.28923 320.41446 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 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393.28923 525.10791 393.92589 525.10791 394.70655 c 525.10791 395.48721 525.74457 396.12387 526.52523 396.12387 c @c B @rax %Note: Object 495.46091 393.28923 498.29556 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 496.87824 396.12387 m 497.65890 396.12387 498.29556 395.48721 498.29556 394.70655 c 498.29556 393.92589 497.65890 393.28923 496.87824 393.28923 c 496.09757 393.28923 495.46091 393.92589 495.46091 394.70655 c 495.46091 395.48721 496.09757 396.12387 496.87824 396.12387 c @c B @rax %Note: Object 465.81392 393.28923 468.64857 396.12387 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 467.23124 396.12387 m 468.01191 396.12387 468.64857 395.48721 468.64857 394.70655 c 468.64857 393.92589 468.01191 393.28923 467.23124 393.28923 c 466.45058 393.28923 465.81392 393.92589 465.81392 394.70655 c 465.81392 395.48721 466.45058 396.12387 467.23124 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453.24312 171.54340 452.60646 170.76274 452.60646 c 169.98208 452.60646 169.34542 453.24312 169.34542 454.02378 c 169.34542 454.80444 169.98208 455.44110 170.76274 455.44110 c @c B @rax %Note: Object 139.69871 452.60646 142.53335 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 455.44110 m 141.89669 455.44110 142.53335 454.80444 142.53335 454.02378 c 142.53335 453.24312 141.89669 452.60646 141.11603 452.60646 c 140.33537 452.60646 139.69871 453.24312 139.69871 454.02378 c 139.69871 454.80444 140.33537 455.44110 141.11603 455.44110 c @c B @rax %Note: Object 110.05172 452.60646 112.88636 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 455.44110 m 112.24970 455.44110 112.88636 454.80444 112.88636 454.02378 c 112.88636 453.24312 112.24970 452.60646 111.46904 452.60646 c 110.68838 452.60646 110.05172 453.24312 110.05172 454.02378 c 110.05172 454.80444 110.68838 455.44110 111.46904 455.44110 c @c B @rax %Note: Object 406.52022 452.60646 409.35487 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 455.44110 m 408.71820 455.44110 409.35487 454.80444 409.35487 454.02378 c 409.35487 453.24312 408.71820 452.60646 407.93754 452.60646 c 407.15688 452.60646 406.52022 453.24312 406.52022 454.02378 c 406.52022 454.80444 407.15688 455.44110 407.93754 455.44110 c @c B @rax %Note: Object 228.63912 452.60646 231.47376 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 455.44110 m 230.83710 455.44110 231.47376 454.80444 231.47376 454.02378 c 231.47376 453.24312 230.83710 452.60646 230.05644 452.60646 c 229.27578 452.60646 228.63912 453.24312 228.63912 454.02378 c 228.63912 454.80444 229.27578 455.44110 230.05644 455.44110 c @c B @rax %Note: Object 198.99241 452.60646 201.82706 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 455.44110 m 201.19039 455.44110 201.82706 454.80444 201.82706 454.02378 c 201.82706 453.24312 201.19039 452.60646 200.40973 452.60646 c 199.62907 452.60646 198.99241 453.24312 198.99241 454.02378 c 198.99241 454.80444 199.62907 455.44110 200.40973 455.44110 c @c B @rax %Note: Object 376.87351 452.60646 379.70816 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 455.44110 m 379.07150 455.44110 379.70816 454.80444 379.70816 454.02378 c 379.70816 453.24312 379.07150 452.60646 378.29083 452.60646 c 377.51017 452.60646 376.87351 453.24312 376.87351 454.02378 c 376.87351 454.80444 377.51017 455.44110 378.29083 455.44110 c @c B @rax %Note: Object 347.22652 452.60646 350.06117 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 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454.80444 290.76746 454.02378 c 290.76746 453.24312 290.13080 452.60646 289.35014 452.60646 c 288.56948 452.60646 287.93282 453.24312 287.93282 454.02378 c 287.93282 454.80444 288.56948 455.44110 289.35014 455.44110 c @c B @rax %Note: Object 258.28611 452.60646 261.12076 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 259.70343 455.44110 m 260.48409 455.44110 261.12076 454.80444 261.12076 454.02378 c 261.12076 453.24312 260.48409 452.60646 259.70343 452.60646 c 258.92277 452.60646 258.28611 453.24312 258.28611 454.02378 c 258.28611 454.80444 258.92277 455.44110 259.70343 455.44110 c @c B @rax %Note: Object 436.16721 452.60646 439.00186 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 437.58454 455.44110 m 438.36520 455.44110 439.00186 454.80444 439.00186 454.02378 c 439.00186 453.24312 438.36520 452.60646 437.58454 452.60646 c 436.80387 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455.44110 c @c B @rax %Note: Object 465.81392 452.60646 468.64857 455.44110 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 467.23124 455.44110 m 468.01191 455.44110 468.64857 454.80444 468.64857 454.02378 c 468.64857 453.24312 468.01191 452.60646 467.23124 452.60646 c 466.45058 452.60646 465.81392 453.24312 465.81392 454.02378 c 465.81392 454.80444 466.45058 455.44110 467.23124 455.44110 c @c B @rax %Note: Object 169.34542 482.26507 172.18006 485.09972 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 485.09972 m 171.54340 485.09972 172.18006 484.46306 172.18006 483.68239 c 172.18006 482.90173 171.54340 482.26507 170.76274 482.26507 c 169.98208 482.26507 169.34542 482.90173 169.34542 483.68239 c 169.34542 484.46306 169.98208 485.09972 170.76274 485.09972 c @c B @rax %Note: Object 139.69871 482.26507 142.53335 485.09972 @E 0 O 0 @g 0.00 0.00 0.00 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@E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 259.70343 485.09972 m 260.48409 485.09972 261.12076 484.46306 261.12076 483.68239 c 261.12076 482.90173 260.48409 482.26507 259.70343 482.26507 c 258.92277 482.26507 258.28611 482.90173 258.28611 483.68239 c 258.28611 484.46306 258.92277 485.09972 259.70343 485.09972 c @c B @rax %Note: Object 436.16721 482.26507 439.00186 485.09972 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 437.58454 485.09972 m 438.36520 485.09972 439.00186 484.46306 439.00186 483.68239 c 439.00186 482.90173 438.36520 482.26507 437.58454 482.26507 c 436.80387 482.26507 436.16721 482.90173 436.16721 483.68239 c 436.16721 484.46306 436.80387 485.09972 437.58454 485.09972 c @c B @rax %Note: Object 525.10791 482.26507 527.94255 485.09972 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 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482.90173 468.01191 482.26507 467.23124 482.26507 c 466.45058 482.26507 465.81392 482.90173 465.81392 483.68239 c 465.81392 484.46306 466.45058 485.09972 467.23124 485.09972 c @c B @rax %Note: Object 169.34542 511.92340 172.18006 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 514.75805 m 171.54340 514.75805 172.18006 514.12139 172.18006 513.34072 c 172.18006 512.56006 171.54340 511.92340 170.76274 511.92340 c 169.98208 511.92340 169.34542 512.56006 169.34542 513.34072 c 169.34542 514.12139 169.98208 514.75805 170.76274 514.75805 c @c B @rax %Note: Object 139.69871 511.92340 142.53335 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 514.75805 m 141.89669 514.75805 142.53335 514.12139 142.53335 513.34072 c 142.53335 512.56006 141.89669 511.92340 141.11603 511.92340 c 140.33537 511.92340 139.69871 512.56006 139.69871 513.34072 c 139.69871 514.12139 140.33537 514.75805 141.11603 514.75805 c @c B @rax %Note: Object 110.05172 511.92340 112.88636 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 514.75805 m 112.24970 514.75805 112.88636 514.12139 112.88636 513.34072 c 112.88636 512.56006 112.24970 511.92340 111.46904 511.92340 c 110.68838 511.92340 110.05172 512.56006 110.05172 513.34072 c 110.05172 514.12139 110.68838 514.75805 111.46904 514.75805 c @c B @rax %Note: Object 406.52022 511.92340 409.35487 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 514.75805 m 408.71820 514.75805 409.35487 514.12139 409.35487 513.34072 c 409.35487 512.56006 408.71820 511.92340 407.93754 511.92340 c 407.15688 511.92340 406.52022 512.56006 406.52022 513.34072 c 406.52022 514.12139 407.15688 514.75805 407.93754 514.75805 c @c B @rax %Note: Object 228.63912 511.92340 231.47376 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 514.75805 m 230.83710 514.75805 231.47376 514.12139 231.47376 513.34072 c 231.47376 512.56006 230.83710 511.92340 230.05644 511.92340 c 229.27578 511.92340 228.63912 512.56006 228.63912 513.34072 c 228.63912 514.12139 229.27578 514.75805 230.05644 514.75805 c @c B @rax %Note: Object 198.99241 511.92340 201.82706 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 514.75805 m 201.19039 514.75805 201.82706 514.12139 201.82706 513.34072 c 201.82706 512.56006 201.19039 511.92340 200.40973 511.92340 c 199.62907 511.92340 198.99241 512.56006 198.99241 513.34072 c 198.99241 514.12139 199.62907 514.75805 200.40973 514.75805 c @c B @rax %Note: Object 376.87351 511.92340 379.70816 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 514.75805 m 379.07150 514.75805 379.70816 514.12139 379.70816 513.34072 c 379.70816 512.56006 379.07150 511.92340 378.29083 511.92340 c 377.51017 511.92340 376.87351 512.56006 376.87351 513.34072 c 376.87351 514.12139 377.51017 514.75805 378.29083 514.75805 c @c B @rax %Note: Object 347.22652 511.92340 350.06117 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 514.75805 m 349.42450 514.75805 350.06117 514.12139 350.06117 513.34072 c 350.06117 512.56006 349.42450 511.92340 348.64384 511.92340 c 347.86318 511.92340 347.22652 512.56006 347.22652 513.34072 c 347.22652 514.12139 347.86318 514.75805 348.64384 514.75805 c @c B @rax %Note: Object 317.57981 511.92340 320.41446 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 318.99713 514.75805 m 319.77780 514.75805 320.41446 514.12139 320.41446 513.34072 c 320.41446 512.56006 319.77780 511.92340 318.99713 511.92340 c 318.21647 511.92340 317.57981 512.56006 317.57981 513.34072 c 317.57981 514.12139 318.21647 514.75805 318.99713 514.75805 c @c B @rax %Note: Object 287.93282 511.92340 290.76746 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 289.35014 514.75805 m 290.13080 514.75805 290.76746 514.12139 290.76746 513.34072 c 290.76746 512.56006 290.13080 511.92340 289.35014 511.92340 c 288.56948 511.92340 287.93282 512.56006 287.93282 513.34072 c 287.93282 514.12139 288.56948 514.75805 289.35014 514.75805 c @c B @rax %Note: Object 258.28611 511.92340 261.12076 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 259.70343 514.75805 m 260.48409 514.75805 261.12076 514.12139 261.12076 513.34072 c 261.12076 512.56006 260.48409 511.92340 259.70343 511.92340 c 258.92277 511.92340 258.28611 512.56006 258.28611 513.34072 c 258.28611 514.12139 258.92277 514.75805 259.70343 514.75805 c @c B @rax %Note: Object 436.16721 511.92340 439.00186 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 437.58454 514.75805 m 438.36520 514.75805 439.00186 514.12139 439.00186 513.34072 c 439.00186 512.56006 438.36520 511.92340 437.58454 511.92340 c 436.80387 511.92340 436.16721 512.56006 436.16721 513.34072 c 436.16721 514.12139 436.80387 514.75805 437.58454 514.75805 c @c B @rax %Note: Object 525.10791 511.92340 527.94255 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 526.52523 514.75805 m 527.30589 514.75805 527.94255 514.12139 527.94255 513.34072 c 527.94255 512.56006 527.30589 511.92340 526.52523 511.92340 c 525.74457 511.92340 525.10791 512.56006 525.10791 513.34072 c 525.10791 514.12139 525.74457 514.75805 526.52523 514.75805 c @c B @rax %Note: Object 495.46091 511.92340 498.29556 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 496.87824 514.75805 m 497.65890 514.75805 498.29556 514.12139 498.29556 513.34072 c 498.29556 512.56006 497.65890 511.92340 496.87824 511.92340 c 496.09757 511.92340 495.46091 512.56006 495.46091 513.34072 c 495.46091 514.12139 496.09757 514.75805 496.87824 514.75805 c @c B @rax %Note: Object 465.81392 511.92340 468.64857 514.75805 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 467.23124 514.75805 m 468.01191 514.75805 468.64857 514.12139 468.64857 513.34072 c 468.64857 512.56006 468.01191 511.92340 467.23124 511.92340 c 466.45058 511.92340 465.81392 512.56006 465.81392 513.34072 c 465.81392 514.12139 466.45058 514.75805 467.23124 514.75805 c @c B @rax %Note: Object 169.34542 541.58202 172.18006 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 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m 112.24970 544.41666 112.88636 543.78000 112.88636 542.99934 c 112.88636 542.21868 112.24970 541.58202 111.46904 541.58202 c 110.68838 541.58202 110.05172 542.21868 110.05172 542.99934 c 110.05172 543.78000 110.68838 544.41666 111.46904 544.41666 c @c B @rax %Note: Object 406.52022 541.58202 409.35487 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 544.41666 m 408.71820 544.41666 409.35487 543.78000 409.35487 542.99934 c 409.35487 542.21868 408.71820 541.58202 407.93754 541.58202 c 407.15688 541.58202 406.52022 542.21868 406.52022 542.99934 c 406.52022 543.78000 407.15688 544.41666 407.93754 544.41666 c @c B @rax %Note: Object 228.63912 541.58202 231.47376 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 544.41666 m 230.83710 544.41666 231.47376 543.78000 231.47376 542.99934 c 231.47376 542.21868 230.83710 541.58202 230.05644 541.58202 c 229.27578 541.58202 228.63912 542.21868 228.63912 542.99934 c 228.63912 543.78000 229.27578 544.41666 230.05644 544.41666 c @c B @rax %Note: Object 198.99241 541.58202 201.82706 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 544.41666 m 201.19039 544.41666 201.82706 543.78000 201.82706 542.99934 c 201.82706 542.21868 201.19039 541.58202 200.40973 541.58202 c 199.62907 541.58202 198.99241 542.21868 198.99241 542.99934 c 198.99241 543.78000 199.62907 544.41666 200.40973 544.41666 c @c B @rax %Note: Object 376.87351 541.58202 379.70816 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 544.41666 m 379.07150 544.41666 379.70816 543.78000 379.70816 542.99934 c 379.70816 542.21868 379.07150 541.58202 378.29083 541.58202 c 377.51017 541.58202 376.87351 542.21868 376.87351 542.99934 c 376.87351 543.78000 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@E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 289.35014 544.41666 m 290.13080 544.41666 290.76746 543.78000 290.76746 542.99934 c 290.76746 542.21868 290.13080 541.58202 289.35014 541.58202 c 288.56948 541.58202 287.93282 542.21868 287.93282 542.99934 c 287.93282 543.78000 288.56948 544.41666 289.35014 544.41666 c @c B @rax %Note: Object 258.28611 541.58202 261.12076 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 259.70343 544.41666 m 260.48409 544.41666 261.12076 543.78000 261.12076 542.99934 c 261.12076 542.21868 260.48409 541.58202 259.70343 541.58202 c 258.92277 541.58202 258.28611 542.21868 258.28611 542.99934 c 258.28611 543.78000 258.92277 544.41666 259.70343 544.41666 c @c B @rax %Note: Object 436.16721 541.58202 439.00186 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 437.58454 544.41666 m 438.36520 544.41666 439.00186 543.78000 439.00186 542.99934 c 439.00186 542.21868 438.36520 541.58202 437.58454 541.58202 c 436.80387 541.58202 436.16721 542.21868 436.16721 542.99934 c 436.16721 543.78000 436.80387 544.41666 437.58454 544.41666 c @c B @rax %Note: Object 525.10791 541.58202 527.94255 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 526.52523 544.41666 m 527.30589 544.41666 527.94255 543.78000 527.94255 542.99934 c 527.94255 542.21868 527.30589 541.58202 526.52523 541.58202 c 525.74457 541.58202 525.10791 542.21868 525.10791 542.99934 c 525.10791 543.78000 525.74457 544.41666 526.52523 544.41666 c @c B @rax %Note: Object 495.46091 541.58202 498.29556 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 496.87824 544.41666 m 497.65890 544.41666 498.29556 543.78000 498.29556 542.99934 c 498.29556 542.21868 497.65890 541.58202 496.87824 541.58202 c 496.09757 541.58202 495.46091 542.21868 495.46091 542.99934 c 495.46091 543.78000 496.09757 544.41666 496.87824 544.41666 c @c B @rax %Note: Object 465.81392 541.58202 468.64857 544.41666 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 467.23124 544.41666 m 468.01191 544.41666 468.64857 543.78000 468.64857 542.99934 c 468.64857 542.21868 468.01191 541.58202 467.23124 541.58202 c 466.45058 541.58202 465.81392 542.21868 465.81392 542.99934 c 465.81392 543.78000 466.45058 544.41666 467.23124 544.41666 c @c B @rax %Note: Object 169.34542 571.24063 172.18006 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 574.07528 m 171.54340 574.07528 172.18006 573.43861 172.18006 572.65795 c 172.18006 571.87729 171.54340 571.24063 170.76274 571.24063 c 169.98208 571.24063 169.34542 571.87729 169.34542 572.65795 c 169.34542 573.43861 169.98208 574.07528 170.76274 574.07528 c @c B @rax %Note: Object 139.69871 571.24063 142.53335 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 574.07528 m 141.89669 574.07528 142.53335 573.43861 142.53335 572.65795 c 142.53335 571.87729 141.89669 571.24063 141.11603 571.24063 c 140.33537 571.24063 139.69871 571.87729 139.69871 572.65795 c 139.69871 573.43861 140.33537 574.07528 141.11603 574.07528 c @c B @rax %Note: Object 110.05172 571.24063 112.88636 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 574.07528 m 112.24970 574.07528 112.88636 573.43861 112.88636 572.65795 c 112.88636 571.87729 112.24970 571.24063 111.46904 571.24063 c 110.68838 571.24063 110.05172 571.87729 110.05172 572.65795 c 110.05172 573.43861 110.68838 574.07528 111.46904 574.07528 c @c B @rax %Note: Object 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0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 574.07528 m 201.19039 574.07528 201.82706 573.43861 201.82706 572.65795 c 201.82706 571.87729 201.19039 571.24063 200.40973 571.24063 c 199.62907 571.24063 198.99241 571.87729 198.99241 572.65795 c 198.99241 573.43861 199.62907 574.07528 200.40973 574.07528 c @c B @rax %Note: Object 376.87351 571.24063 379.70816 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 574.07528 m 379.07150 574.07528 379.70816 573.43861 379.70816 572.65795 c 379.70816 571.87729 379.07150 571.24063 378.29083 571.24063 c 377.51017 571.24063 376.87351 571.87729 376.87351 572.65795 c 376.87351 573.43861 377.51017 574.07528 378.29083 574.07528 c @c B @rax %Note: Object 347.22652 571.24063 350.06117 574.07528 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 574.07528 m 349.42450 574.07528 350.06117 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662.41417 201.82706 661.63351 c 201.82706 660.85285 201.19039 660.21619 200.40973 660.21619 c 199.62907 660.21619 198.99241 660.85285 198.99241 661.63351 c 198.99241 662.41417 199.62907 663.05083 200.40973 663.05083 c @c B @rax %Note: Object 376.87351 660.21619 379.70816 663.05083 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 663.05083 m 379.07150 663.05083 379.70816 662.41417 379.70816 661.63351 c 379.70816 660.85285 379.07150 660.21619 378.29083 660.21619 c 377.51017 660.21619 376.87351 660.85285 376.87351 661.63351 c 376.87351 662.41417 377.51017 663.05083 378.29083 663.05083 c @c B @rax %Note: Object 347.22652 660.21619 350.06117 663.05083 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 663.05083 m 349.42450 663.05083 350.06117 662.41417 350.06117 661.63351 c 350.06117 660.85285 349.42450 660.21619 348.64384 660.21619 c 347.86318 660.21619 347.22652 660.85285 347.22652 661.63351 c 347.22652 662.41417 347.86318 663.05083 348.64384 663.05083 c @c B @rax %Note: Object 317.57981 660.21619 320.41446 663.05083 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 318.99713 663.05083 m 319.77780 663.05083 320.41446 662.41417 320.41446 661.63351 c 320.41446 660.85285 319.77780 660.21619 318.99713 660.21619 c 318.21647 660.21619 317.57981 660.85285 317.57981 661.63351 c 317.57981 662.41417 318.21647 663.05083 318.99713 663.05083 c @c B @rax %Note: Object 287.93282 660.21619 290.76746 663.05083 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 289.35014 663.05083 m 290.13080 663.05083 290.76746 662.41417 290.76746 661.63351 c 290.76746 660.85285 290.13080 660.21619 289.35014 660.21619 c 288.56948 660.21619 287.93282 660.85285 287.93282 661.63351 c 287.93282 662.41417 288.56948 663.05083 289.35014 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m 468.01191 663.05083 468.64857 662.41417 468.64857 661.63351 c 468.64857 660.85285 468.01191 660.21619 467.23124 660.21619 c 466.45058 660.21619 465.81392 660.85285 465.81392 661.63351 c 465.81392 662.41417 466.45058 663.05083 467.23124 663.05083 c @c B @rax %Note: Object 169.34542 749.19203 172.18006 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 752.02668 m 171.54340 752.02668 172.18006 751.39002 172.18006 750.60935 c 172.18006 749.82869 171.54340 749.19203 170.76274 749.19203 c 169.98208 749.19203 169.34542 749.82869 169.34542 750.60935 c 169.34542 751.39002 169.98208 752.02668 170.76274 752.02668 c @c B @rax %Note: Object 139.69871 749.19203 142.53335 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 752.02668 m 141.89669 752.02668 142.53335 751.39002 142.53335 750.60935 c 142.53335 749.82869 141.89669 749.19203 141.11603 749.19203 c 140.33537 749.19203 139.69871 749.82869 139.69871 750.60935 c 139.69871 751.39002 140.33537 752.02668 141.11603 752.02668 c @c B @rax %Note: Object 110.05172 749.19203 112.88636 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 752.02668 m 112.24970 752.02668 112.88636 751.39002 112.88636 750.60935 c 112.88636 749.82869 112.24970 749.19203 111.46904 749.19203 c 110.68838 749.19203 110.05172 749.82869 110.05172 750.60935 c 110.05172 751.39002 110.68838 752.02668 111.46904 752.02668 c @c B @rax %Note: Object 406.52022 749.19203 409.35487 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 752.02668 m 408.71820 752.02668 409.35487 751.39002 409.35487 750.60935 c 409.35487 749.82869 408.71820 749.19203 407.93754 749.19203 c 407.15688 749.19203 406.52022 749.82869 406.52022 750.60935 c 406.52022 751.39002 407.15688 752.02668 407.93754 752.02668 c @c B @rax %Note: Object 228.63912 749.19203 231.47376 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 752.02668 m 230.83710 752.02668 231.47376 751.39002 231.47376 750.60935 c 231.47376 749.82869 230.83710 749.19203 230.05644 749.19203 c 229.27578 749.19203 228.63912 749.82869 228.63912 750.60935 c 228.63912 751.39002 229.27578 752.02668 230.05644 752.02668 c @c B @rax %Note: Object 198.99241 749.19203 201.82706 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 752.02668 m 201.19039 752.02668 201.82706 751.39002 201.82706 750.60935 c 201.82706 749.82869 201.19039 749.19203 200.40973 749.19203 c 199.62907 749.19203 198.99241 749.82869 198.99241 750.60935 c 198.99241 751.39002 199.62907 752.02668 200.40973 752.02668 c @c B @rax %Note: Object 376.87351 749.19203 379.70816 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 752.02668 m 379.07150 752.02668 379.70816 751.39002 379.70816 750.60935 c 379.70816 749.82869 379.07150 749.19203 378.29083 749.19203 c 377.51017 749.19203 376.87351 749.82869 376.87351 750.60935 c 376.87351 751.39002 377.51017 752.02668 378.29083 752.02668 c @c B @rax %Note: Object 347.22652 749.19203 350.06117 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 752.02668 m 349.42450 752.02668 350.06117 751.39002 350.06117 750.60935 c 350.06117 749.82869 349.42450 749.19203 348.64384 749.19203 c 347.86318 749.19203 347.22652 749.82869 347.22652 750.60935 c 347.22652 751.39002 347.86318 752.02668 348.64384 752.02668 c @c B @rax %Note: Object 317.57981 749.19203 320.41446 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 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749.82869 260.48409 749.19203 259.70343 749.19203 c 258.92277 749.19203 258.28611 749.82869 258.28611 750.60935 c 258.28611 751.39002 258.92277 752.02668 259.70343 752.02668 c @c B @rax %Note: Object 436.16721 749.19203 439.00186 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 437.58454 752.02668 m 438.36520 752.02668 439.00186 751.39002 439.00186 750.60935 c 439.00186 749.82869 438.36520 749.19203 437.58454 749.19203 c 436.80387 749.19203 436.16721 749.82869 436.16721 750.60935 c 436.16721 751.39002 436.80387 752.02668 437.58454 752.02668 c @c B @rax %Note: Object 525.10791 749.19203 527.94255 752.02668 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 526.52523 752.02668 m 527.30589 752.02668 527.94255 751.39002 527.94255 750.60935 c 527.94255 749.82869 527.30589 749.19203 526.52523 749.19203 c 525.74457 749.19203 525.10791 749.82869 525.10791 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169.34542 719.53342 172.18006 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 170.76274 722.36806 m 171.54340 722.36806 172.18006 721.73140 172.18006 720.95074 c 172.18006 720.17008 171.54340 719.53342 170.76274 719.53342 c 169.98208 719.53342 169.34542 720.17008 169.34542 720.95074 c 169.34542 721.73140 169.98208 722.36806 170.76274 722.36806 c @c B @rax %Note: Object 139.69871 719.53342 142.53335 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 141.11603 722.36806 m 141.89669 722.36806 142.53335 721.73140 142.53335 720.95074 c 142.53335 720.17008 141.89669 719.53342 141.11603 719.53342 c 140.33537 719.53342 139.69871 720.17008 139.69871 720.95074 c 139.69871 721.73140 140.33537 722.36806 141.11603 722.36806 c @c B @rax %Note: Object 110.05172 719.53342 112.88636 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 111.46904 722.36806 m 112.24970 722.36806 112.88636 721.73140 112.88636 720.95074 c 112.88636 720.17008 112.24970 719.53342 111.46904 719.53342 c 110.68838 719.53342 110.05172 720.17008 110.05172 720.95074 c 110.05172 721.73140 110.68838 722.36806 111.46904 722.36806 c @c B @rax %Note: Object 406.52022 719.53342 409.35487 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 407.93754 722.36806 m 408.71820 722.36806 409.35487 721.73140 409.35487 720.95074 c 409.35487 720.17008 408.71820 719.53342 407.93754 719.53342 c 407.15688 719.53342 406.52022 720.17008 406.52022 720.95074 c 406.52022 721.73140 407.15688 722.36806 407.93754 722.36806 c @c B @rax %Note: Object 228.63912 719.53342 231.47376 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 230.05644 722.36806 m 230.83710 722.36806 231.47376 721.73140 231.47376 720.95074 c 231.47376 720.17008 230.83710 719.53342 230.05644 719.53342 c 229.27578 719.53342 228.63912 720.17008 228.63912 720.95074 c 228.63912 721.73140 229.27578 722.36806 230.05644 722.36806 c @c B @rax %Note: Object 198.99241 719.53342 201.82706 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 200.40973 722.36806 m 201.19039 722.36806 201.82706 721.73140 201.82706 720.95074 c 201.82706 720.17008 201.19039 719.53342 200.40973 719.53342 c 199.62907 719.53342 198.99241 720.17008 198.99241 720.95074 c 198.99241 721.73140 199.62907 722.36806 200.40973 722.36806 c @c B @rax %Note: Object 376.87351 719.53342 379.70816 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 378.29083 722.36806 m 379.07150 722.36806 379.70816 721.73140 379.70816 720.95074 c 379.70816 720.17008 379.07150 719.53342 378.29083 719.53342 c 377.51017 719.53342 376.87351 720.17008 376.87351 720.95074 c 376.87351 721.73140 377.51017 722.36806 378.29083 722.36806 c @c B @rax %Note: Object 347.22652 719.53342 350.06117 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 348.64384 722.36806 m 349.42450 722.36806 350.06117 721.73140 350.06117 720.95074 c 350.06117 720.17008 349.42450 719.53342 348.64384 719.53342 c 347.86318 719.53342 347.22652 720.17008 347.22652 720.95074 c 347.22652 721.73140 347.86318 722.36806 348.64384 722.36806 c @c B @rax %Note: Object 317.57981 719.53342 320.41446 722.36806 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k 0 J 0 j [2 5 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.86400 0.86400 0.00000 @w 318.99713 722.36806 m 319.77780 722.36806 320.41446 721.73140 320.41446 720.95074 c 320.41446 720.17008 319.77780 719.53342 318.99713 719.53342 c 318.21647 719.53342 317.57981 720.17008 317.57981 720.95074 c 317.57981 721.73140 318.21647 722.36806 318.99713 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Fp(\),)37 b(where)d Fn(C)3880 58 y Fg(0)3955 44 y Fp(is)118 160 y(giv)m(en)c(in)g(lemma)f(4.1.)118 277 y(A)i(standard)e(corollary)h(of)g(the)h(ab)s(o)m(v)m(e)h(theorem)e (\(see)i(e.g.)41 b([4)q(])31 b(theorem)g(20.4.2\))h(is)118 457 y Fq(Corollary)j(3.1)46 b Fj(F)-7 b(or)29 b(any)f(b)-5 b(ox)29 b Fp(\003)p Fj(,)g(the)f(function)g Fn(f)1914 471 y Fg(\003)1966 457 y Fp(\()p Fn(\025)p Fp(\))h Fj(in)e(\(3.14\))j (is)d(analytic)i(in)f(the)g(c)-5 b(omplex)30 b(disk)e Fm(j)p Fn(\025)p Fm(j)d Fn(<)g(\025)3976 471 y Fg(0)118 573 y Fj(and)34 b(the)f(limit)1704 689 y Fn(f)10 b Fp(\()p Fn(\025)p Fp(\))25 b(=)57 b(lim)2003 749 y Fg(\003)p Fk(!1)2208 689 y Fn(f)2253 703 y Fg(\003)2306 689 y Fp(\()p Fn(\025)p Fp(\))1354 b(\(3)p Fn(:)p Fp(15\))118 901 y Fj(exists)33 b(and)h(is)e(analytic)i(in)f(the)g(same)g(disk.)118 1081 y Fp(W)-8 b(e)32 b(p)s(ostp)s(one)d(the)i(pro)s(of)e(of)i(theorem) g(3.1)g(and)f(corollary)g(3.1)h(to)g(section)g(5.)118 1198 y Fq(Remark)p Fp(.)40 b(By)28 b(corollary)g(3.1,)i(the)e(function) f Fn(f)e Fp(\(\(1)c Fm(\000)f Fn(z)t Fp(\))p Fn(=z)5 b Fp(\))29 b(is)e(analytic)h(in)f(the)h(complex)g(domain)f Fn(D)h Fp(=)d Fm(f)p Fn(z)30 b Fm(2)118 1314 y Fi(C)49 b Fp(:)26 b Fm(j)p Fp(\(1)7 b Fm(\000)g Fn(z)t Fp(\))p Fn(=z)t Fm(j)27 b Fn(<)e(\025)823 1328 y Fg(0)863 1314 y Fm(g)f Fp(and,)h(b)m(y)e(\(2.4\))j(and)d(\(3.9\),)k Fn(f)e Fp(\(\(1)c Fm(\000)f Fn(p)p Fp(\))p Fn(=p)p Fp(\))26 b(=)f Fn(\022)2538 1281 y Fl(c)2572 1314 y Fp(\()p Fn(p)p Fp(\))f(for)g Fn(p)h Fm(2)f Fp([0)p Fn(;)15 b Fp(1].)41 b(Hence)24 b Fn(f)h Fp(\(\(1)c Fm(\000)f Fn(z)t Fp(\))p Fn(=z)5 b Fp(\))118 1430 y(is)30 b(the)g(unique)f(analytic)h(con)m(tin) m(uation)g(of)g Fn(\022)1682 1397 y Fl(c)1716 1430 y Fp(\()p Fn(p)p Fp(\))h(to)g(the)g(domain)e Fn(D)s Fp(.)40 b(This)29 b(pro)m(v)m(es)i(theorem)g(1.1.)118 1715 y Fo(4)135 b(En)l(trop)l(y)45 b(Estimates)118 1922 y Fp(In)29 b(order)g(to)h(pro)m(v)m(e)g(theorem)g(3.1)h(w)m(e)f(will)d(need)i (some)h(preliminary)c(lemmas)j(related)g(to)i(en)m(trop)m(y)f (estimates.)118 2039 y(Let)f(us)e(th)m(us)h(denote)h(b)m(y)f Fi(S)1062 2006 y Fl(d)1125 2039 y Fp(the)g(set)h(of)f(all)f(\()p Fn(d)16 b Fm(\000)g Fp(1\)-dimensional)26 b(h)m(yp)s(er-squares)h Fn(\033)k Fp(on)d(the)h(dual)d(lattice)j Fi(Z)3915 2006 y Fl(d)3951 1986 y Fk(\003)3990 2039 y Fp(.)118 2155 y(Giv)m(en)36 b Fn(\033)i Fm(2)c Fi(S)628 2122 y Fl(d)663 2155 y Fp(,)j(let)f(us)g(denote)g(b)m(y)g Fn(S)1471 2170 y Fl(d)1547 2155 y Fp(the)g(n)m(um)m(b)s(er)f(of)h(h)m(yp)s(er-squares) f Fn(\033)2793 2122 y Fk(0)2852 2155 y Fp(incompatible)f(with)h Fn(\033)k Fp(and)c(not)118 2271 y(equal)30 b(to)h Fn(\033)s Fp(.)41 b(Note)32 b(that)f Fn(S)1063 2286 y Fl(d)1128 2271 y Fp(=)25 b(6\()p Fn(d)c Fm(\000)f Fp(1\).)42 b(W)-8 b(e)31 b(will)d(initially)f(pro)m(v)m(e)k(that)118 2450 y Fq(Lemma)i(4.1)46 b Fj(The)31 b(numb)-5 b(er)32 b(of)g(dual)g (animals)h Fn(\015)j Fj(of)31 b(a)h(given)f(size)g Fm(j)p Fn(\015)5 b Fm(j)26 b Fp(=)f Fn(n)31 b Fj(that)h(p)-5 b(ass)33 b(thr)-5 b(ough)33 b(a)f(given)e(p)-5 b(oint)118 2566 y Fn(x)170 2533 y Fk(\003)235 2566 y Fm(2)25 b Fi(Z)386 2533 y Fl(d)422 2513 y Fk(\003)494 2566 y Fj(is)32 b(at)h(most)h(exp)-5 b(onential)35 b(in)d Fm(j)p Fn(\015)5 b Fm(j)p Fj(,)33 b(i.e.,)f(for)h(al)5 b(l)33 b Fn(x)2185 2533 y Fk(\003)2250 2566 y Fm(2)25 b Fi(Z)2401 2533 y Fl(d)2437 2513 y Fk(\003)2509 2566 y Fj(and)34 b Fn(n)24 b Fm(2)h Fi(N)1839 2708 y Fh(X)1787 2897 y Fe(\015)s Ff(:)33 b Fe(x)1908 2883 y Fd(\003)1944 2897 y(2)p Fe(\015)1825 2954 y Fd(j)p Fe(\015)s Fd(j)p Ff(=)p Fe(n)2046 2795 y Fp(1)26 b Fm(\024)f Fn(C)2285 2757 y Fl(n)2278 2817 y Fg(0)2331 2795 y Fn(;)1473 b Fp(\(4)p Fn(:)p Fp(1\))118 3167 y Fj(wher)-5 b(e)34 b Fn(C)440 3181 y Fg(0)504 3167 y Fp(=)25 b Fn(S)661 3128 y Fk(\000)p Fg(1)656 3196 y Fl(d)756 3167 y Fp(\(1)c(+)f Fn(S)1004 3182 y Fl(d)1044 3167 y Fp(\))1079 3134 y Fg(1+)p Fl(S)1212 3146 y Fe(d)118 3346 y Fq(Pro)s(of)p Fp(:)40 b(Let)26 b(0)639 3313 y Fk(\003)705 3346 y Fp(b)s(e)g(the)g(origin)f (of)h(the)h(dual)d(lattice.)40 b(By)27 b(translation)e(in)m(v)-5 b(ariance,)26 b(it)g(is)f(enough)h(to)h(sho)m(w)f(that)1839 3453 y Fh(X)1791 3642 y Fe(\015)s Ff(:)k(0)1904 3628 y Fd(\003)1941 3642 y(2)p Fe(\015)1825 3698 y Fd(j)p Fe(\015)s Fd(j)p Ff(=)p Fe(n)2043 3539 y Fp(1)c Fm(\024)f Fn(C)2282 3502 y Fl(n)2275 3562 y Fg(0)2328 3539 y Fn(:)1476 b Fp(\(4)p Fn(:)p Fp(2\))118 3913 y(W)-8 b(e)33 b(start)f(observing)e (that)i(the)g(probabilit)m(y)d(to)j(ha)m(v)m(e)h(a)f(dual)e(animal)g Fn(\015)36 b Fp(is)31 b(giv)m(en)g(b)m(y)h Fn(P)13 b Fp(\()p Fn(\015)5 b Fp(\))27 b(=)g(\(1)22 b Fm(\000)f Fn(p)p Fp(\))3762 3880 y Fk(j)p Fl(\015)t Fk(j)3845 3913 y Fn(p)3891 3880 y Fk(j)p Fl(@)t(\015)t Fk(j)118 4029 y Fp(where)30 b Fn(@)5 b(\015)37 b Fp(is)30 b(the)h(b)s(oundary)e(of)i (the)g(dual)e(animal)h Fn(\015)36 b Fp(de\014ned)29 b(as)i Fn(@)5 b(\015)32 b Fp(=)26 b Fm(f)p Fn(\033)40 b(=)-56 b Fm(2)26 b Fn(\015)31 b Fp(:)c Fn(\033)i Fm(6\030)d Fn(\033)3252 3996 y Fk(0)3275 4029 y Fn(;)46 b Fp(for)26 b(some)f Fn(\033)3758 3996 y Fk(0)3807 4029 y Fm(2)g Fn(\015)5 b Fm(g)p Fp(.)118 4145 y(Noting)31 b(that)g Fm(j)p Fn(@)5 b(\015)g Fm(j)26 b(\024)f Fn(S)949 4160 y Fl(d)989 4145 y Fm(j)p Fn(\015)5 b Fm(j)p Fp(,)31 b(w)m(e)g(ha)m(v)m (e)1188 4287 y Fh(X)1140 4476 y Fe(\015)s Ff(:)f(0)1253 4462 y Fd(\003)1290 4476 y(2)p Fe(\015)1174 4533 y Fd(j)p Fe(\015)s Fd(j)p Ff(=)p Fe(n)1377 4374 y Fp(\(1)21 b Fm(\000)f Fn(p)p Fp(\))1650 4336 y Fk(j)p Fl(\015)t Fk(j)1734 4374 y Fn(p)1780 4336 y Fl(S)1823 4348 y Fe(d)1858 4336 y Fk(j)p Fl(\015)t Fk(j)1967 4374 y Fm(\024)2121 4287 y Fh(X)2073 4476 y Fe(\015)s Ff(:)31 b(0)2187 4462 y Fd(\003)2223 4476 y(2)p Fe(\015)2108 4533 y Fd(j)p Fe(\015)s Fd(j)p Ff(=)p Fe(n)2310 4374 y Fp(\(1)21 b Fm(\000)f Fn(p)p Fp(\))2583 4336 y Fk(j)p Fl(\015)t Fk(j)2667 4374 y Fn(p)2713 4336 y Fk(j)p Fl(@)t(\015)t Fk(j)2863 4374 y Fn(<)25 b Fp(1)118 4728 y(where)30 b(the)h(middle)d(term)j(in)f(the)g (ab)s(o)m(v)m(e)i(inequalit)m(y)d(is)h(the)h(probabilit)m(y)d(of)j(ha)m (ving)f(a)h(dual)f(animal)f(of)i(size)f Fn(n)118 4844 y Fp(passing)f(b)m(y)i(0)609 4811 y Fk(\003)648 4844 y Fp(.)41 b(Th)m(us)29 b(w)m(e)i(ha)m(v)m(e)1075 5047 y Fh(X)1027 5236 y Fe(\015)s Ff(:)g(0)1141 5222 y Fd(\003)1177 5236 y(2)p Fe(\015)1062 5292 y Fd(j)p Fe(\015)s Fd(j)p Ff(=)p Fe(n)1280 5133 y Fp(1)25 b Fm(\024)1446 5005 y Fh(\024)1683 5071 y Fp(1)p 1504 5112 402 4 v 1504 5195 a(\(1)c Fm(\000)f Fn(p)p Fp(\))p Fn(p)1823 5169 y Fl(S)1866 5181 y Fe(d)1916 5005 y Fh(\025)1964 5027 y Fl(n)2036 5133 y Fm(\024)2132 4977 y Fh(\()2206 5133 y Fp(\(1)h(+)f Fn(S)2454 5148 y Fl(d)2494 5133 y Fp(\))2544 5005 y Fh(\024)2602 5071 y Fp(1)h(+)f Fn(S)2815 5086 y Fl(d)p 2602 5112 253 4 v 2681 5195 a Fn(S)2737 5210 y Fl(d)2865 5005 y Fh(\025)2913 5027 y Fl(S)2956 5039 y Fe(d)2996 4977 y Fh(\))3069 5000 y Fl(n)1985 5517 y Fp(8)p eop %%Page: 9 9 9 8 bop 118 44 a Fp(and)30 b(therefore)h(the)f(lemma)g(is)g(pro)m(v)m (ed.)p 3945 161 71 71 v 118 278 a(W)-8 b(e)32 b(next)e(pro)m(v)m(e)h (the)g(follo)m(wing)e(lemma.)118 470 y Fq(Lemma)k(4.2)46 b Fj(The)33 b(numb)-5 b(er)33 b(of)g(dual)h(animals)g Fn(\015)k Fj(of)33 b(a)g(given)f(c)-5 b(ar)g(dinality)35 b Fm(j)p Fn(\015)5 b Fm(j)26 b Fp(=)g Fn(n)32 b Fj(such)h(that)h Fp(0)26 b Fm(2)f Fn(I)7 b Fp(\()p Fn(\015)e Fp(\))33 b Fj(is)g(at)118 586 y(most)h(exp)-5 b(onential)34 b(in)f Fn(n)p Fj(,)f(i.e.,)g(for)h(al)5 b(l)33 b Fn(n)25 b Fm(2)g Fi(N)1839 707 y Fh(X)1768 896 y Fe(\015)s Ff(:)33 b(0)p Fd(2)p Fe(I)t Ff(\()p Fe(\015)s Ff(\))1825 955 y Fd(j)p Fe(\015)s Fd(j)p Ff(=)p Fe(n)2066 794 y Fp(1)25 b Fm(\024)g Fn(C)2304 756 y Fl(n)2297 816 y Fg(1)2351 794 y Fn(;)1453 b Fp(\(4)p Fn(:)p Fp(3\))118 1180 y Fj(wher)-5 b(e)34 b Fn(C)440 1194 y Fg(1)504 1180 y Fp(=)25 b(2)645 1147 y Fl(d)686 1180 y Fn(C)751 1194 y Fg(0)823 1180 y Fj(and)34 b Fn(C)1065 1194 y Fg(0)1137 1180 y Fj(is)e(given)g(in)h(lemma)h (\(4.1\).)118 1372 y Fq(Pro)s(of)p Fp(:)41 b(Using)28 b(that)i(the)f(v)m(olume)g(of)g(the)g(in)m(terior)f(of)h(a)g(dual)f (animal)f Fn(\015)34 b Fp(of)29 b(cardinalit)m(y)f Fn(n)g Fp(is)g(at)i(most)f Fn(n)3800 1339 y Fl(d)3869 1372 y Fp(and)118 1488 y(applying)f(lemma)i(\(4.1\),)j(w)m(e)e(get)1400 1645 y Fh(X)1342 1834 y Fe(\015)s Ff(:)p Fe(I)t Ff(\()p Fe(\015)s Ff(\))p Fd(6)p Ff(=)p Fd(;)1386 1892 y(j)p Fe(\015)s Fd(j)p Ff(=)p Fe(n)1614 1731 y Fp(1)26 b Fm(\024)f Fn(n)1836 1694 y Fl(d)1934 1645 y Fh(X)1901 1834 y Fe(\015)s Ff(:0)1984 1820 y Fd(\003)2020 1834 y(2)p Fe(\015)1920 1890 y Fd(j)p Fe(\015)s Fd(j)p Ff(=)p Fe(n)2123 1731 y Fp(1)g Fm(\024)g Fp(2)2334 1694 y Fl(dn)2418 1731 y Fn(C)2490 1694 y Fl(n)2483 1754 y Fg(0)2562 1731 y Fm(\024)g Fn(C)2730 1694 y Fl(n)2723 1754 y Fg(1)2776 1731 y Fn(:)p 3945 2109 V 118 2344 a Fp(Finally)-8 b(,)29 b(w)m(e)i(pro)m(v)m(e)g (the)g(main)e(en)m(trop)m(y)i(estimate)118 2536 y Fq(Lemma)i(4.3)46 b Fj(The)30 b(numb)-5 b(er)30 b(of)g(p)-5 b(olymers)36 b Fp(~)-49 b Fn(\015)35 b Fj(of)30 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3882 y(of)g(\003.)40 b(This)29 b(p)s(o)m(w)m(er)h(tak)m(es)i Fn(f)1101 3896 y Fg(\003)1154 3882 y Fp(\()p Fn(\025)p Fp(\))21 b Fm(\000)f Fn(f)1434 3897 y Fg(\003)1483 3878 y Fd(0)1509 3882 y Fp(\()p Fn(\025)p Fp(\))31 b(to)g(zero)g(as)g(\003) 25 b Fm(!)g(1)p Fp(.)p 3945 3999 V 118 4470 a Fq(Ac)m(kno)m(wledgemen)m (ts)118 4587 y Fp(A.)37 b(Pro)s(cacci)h(w)m(as)f(partially)e(supp)s (orted)g(b)m(y)i(Conselho)f(Nacional)h(de)g(Desen)m(v)m(olvimen)m(to)h (Cien)m(ti\014co)e(e)i(T)-8 b(ec-)118 4704 y(nol\023)-45 b(ogico)25 b(-)g(CNPq,)g(a)g(brazilian)e(go)m(v)m(ernmen)m(tal)j (agency)g(promoting)e(scien)m(ti\014c)f(and)i(tecnologic)g(dev)m (elopmen)m(t.)118 4820 y(R.)35 b(Sanc)m(his)g(w)m(as)g(supp)s(orted)f (b)m(y)h(a)h(graduate)f(sc)m(holarship)f(from)h(Co)s(ordenadoria)f(de)h (Ap)s(erfei\030)-40 b(coamen)m(to)36 b(de)118 4936 y(P)m(essoal)31 b(de)f(Niv)m(el)g(Sup)s(erior)e(-)i(CAPES)g(\(Brazil\).)1962 5517 y(12)p eop %%Page: 13 13 13 12 bop 118 44 a Fo(References)164 251 y Fp([1])46 b(Brydges,)36 b(D.:)51 b Fj(A)36 b(short)i(c)-5 b(ourse)38 b(on)f(cluster)g(exp)-5 b(ansion)p Fp(,)38 b(Les)d(Houc)m(hes)g(1984,)j (K.)d(Osterw)m(alder,)g(R.)305 367 y(Stora)c(eds.,)f(North)h(Holland)e (Press)g(\(1986\))164 558 y([2])46 b(Cammarota,)38 b(C.:)52 b Fj(De)-5 b(c)g(ay)38 b(of)g(Corr)-5 b(elations)41 b(for)d(In\014nite) g(r)-5 b(ange)39 b(Inter)-5 b(actions)39 b(in)f(unb)-5 b(ounde)g(d)39 b(Spin)305 675 y(Systems)p Fp(,)31 b(Comm.)g(Math)g(Ph)m (ys.,)f Fq(85)p Fp(,)h(517-528)j(\(1982\))164 866 y([3])46 b(M.)40 b(Campanino,)h(L.)f(Cha)m(y)m(es)g(and)f(J.)h(Cha)m(y)m(es,)j Fj(Gaussian)f(\015uctuations)h(of)e(c)-5 b(onne)g(ctivities)42 b(in)f(the)305 982 y(sub)-5 b(critic)g(al)34 b(r)-5 b(e)g(gime)33 b(of)g(p)-5 b(er)g(c)g(olation)p Fp(,)34 b(Probab.)c(Th.)f(Rel.)h (Fields)f Fq(88)p Fp(,)i(269-341)j(\(1991\).)164 1173 y([4])46 b(Glimm,)36 b(J.)h(and)e(Ja\013e,)k(A.:)53 b Fj(Quantum)39 b(Physics,)g(A)f(functional)h(inte)-5 b(gr)g(al)39 b(p)-5 b(oint)40 b(of)e(view)p Fp(,)g(Spinger,)305 1289 y(New)31 b(Y)-8 b(ork)30 b(\(1987\))164 1480 y([5])46 b(Grimmett,)30 b(G.:)42 b Fj(Per)-5 b(c)g(olation)p Fp(,)32 b(second)f(edition,)e(Springer)f(V)-8 b(erlarg,)31 b(New)g(Y)-8 b(ork,)31 b(\(1999\).)164 1671 y([6])46 b(Simon)22 b(B.:)37 b Fj(The)27 b(Statistic)-5 b(al)27 b(Me)-5 b(chanics)27 b(of)f(L)-5 b(attic)g(e)27 b(Gases)p Fp(,)f(V)-8 b(olume)23 b(1,)i(Princeton)e(Univ)m(ersit)m(y)f(Press)305 1787 y(\(1993\))1962 5517 y(13)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF ---------------0110250924847--